|x-7|=x-7 but now I need 20 more letters so I'm stalling
Answers
Answer:
Step-by-step explanation:
x = 7
Related Questions
Rob is checking the distance between two towns on a map. The map
uses a scale in which 0.25 inches equals 400 meters. If the distance
on the map is 4.5 inches, how far is it between the towns, in meters?
Your answer can be exact or rounded to two decimal places.
Answers
If 0.25 inches on the map represents 400 meters in real life, then 1 inch on the map represents 4 * 400 = 1600 meters in real life. Therefore, 4.5 inches on the map represents 4.5 * 1600 = 7200 meters in real life. So, the distance between the towns is 7200 meters.
Help please for area
Answers
Answer:
50mm²
Step-by-step explanation:
divide it into a rectangle and triangle
rectangle = 7x5 = 35
triangle = 1/2x5x(13-7) = 1/2x5x6 = 15
35+15=50
For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.
Answers
Answer:
the ratio of boys to girls in Mr Hegarty's class is 5:3 (in its simplest form).
Step-by-step explanation:
For every 3 girls, there are 5 boys, which can be written as a ratio of 5:3 (boys to girls).
To simplify the ratio, we can divide both sides by the greatest common factor of 5 and 3, which is 1.
A spinner with repeated colors numbered from 1
to 8 is shown. Sections 1 and 8 are purple.
Sections 2 and 3 are yellow. Sections 4, 5, and 6
are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater
than the probability of landing on purple.
The probability of landing on yellow is less than
the probability of landing on blue.
The probability of landing on orange is equal to
the probability of landing on yellow.
The probability of landing on purple is equal to
the probability of landing on blue.
Answers
Answer: The probability of landing on orange is equal to the probability of landing on purple
Step-by-step explanation:
The spinner has a total of 8 equally-sized sections, and each section has a unique color. Therefore, the probability of landing on any particular section is 1/8 or 0.125.
Looking at the colors on the spinner, we can see that there are two purple sections, two yellow sections, three blue sections, and one orange section.
Therefore, the probability of landing on orange is 1/8 or 0.125, which is equal to the probability of landing on purple (sections 1 and 8). So the statement "The probability of landing on orange is equal to the probability of landing on purple" is true.
On the other hand, the probability of landing on yellow is 2/8 or 0.25, which is greater than the probability of landing on blue (sections 4, 5, and 6), which is 3/8 or 0.375. So the statement "The probability of landing on yellow is less than the probability of landing on blue" is false.
Therefore, the correct statement about probability is "The probability of landing on orange is equal to the probability of landing on purple."
the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry. the cell that is indicated by the arrow on the right would fall into which of the circled areas? please select the single best answer population a population b population c
Answers
The cell that is indicated by the arrow on the right would fall into population c of the circled areas.
We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.
Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.
The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.
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What is the 11th term in 13,19,25,31
Answers
The 11th term in the arithmetic sequence 13, 19, 25, 31 is 73.
What is arithmetic sequence?An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed number called the common difference (d) to the preceding term.
According to given information:To find the 11th term in the arithmetic sequence 13, 19, 25, 31, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where:
an is the nth term
a1 is the first term
n is the number of the term we want to find
d is the common difference
In this sequence, the first term (a1) is 13 and the common difference (d) is 6 (we can see that by subtracting each term from the one before it). So we can plug in the values we know:
a11 = 13 + (11 - 1)6
a11 = 13 + 60
a11 = 73
Therefore, the 11th term in the sequence 13, 19, 25, 31 is 73.
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A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. Does this data have negative, positive, or zero skew?
Answers
[tex]0, 1, 1, 2, 2, 2, 2, 3, 3, 5[/tex], minimum: [tex]0[/tex], maximum: [tex]5[/tex], mean: [tex]2.1[/tex], median: [tex]2[/tex], mode: [tex]2[/tex]. I think the data have zero skew. Its mean, median, and mode are based on [tex]2[/tex]. It shows symmetry.
What does "mode" in mathematics mean?The value that happens most frequently is the mode. The only averaging that is capable of having zero, one, or several values is the mode. Finding the mode is aided by first sorting the numbers.
What are mode and its definition?The mode formula in statistics is used to determine the mode or mode value for a specific collection of data. It is regarded as the number that consistently appears in a particular set. In other words, the mode or mode value in a data collection is the value or quantity that occurs more frequently or with a specific rate.
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The complete question is:
A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. Does this data have negative, positive, or zero skew?
{2,3,2,2,0,5,2,1,1,3}
Which of the following are monomials? Check all that apply.
A. I
B. √
C. 6
D. x+1 E.-4x³ F. 5/1
Answers
Answer:
A, C, E
Step-by-step explanation:
A, C, E
A monomial is a single number, or a single number multiplied by one or more variables.
A variable in a square root or in a denominator is not allowed in a monomial.
When comparing the f(x) = –x2 + 2x and g(x) = log(2x + 1), on which interval are both functions positive? (–∞, 0) (0, 2) (2, ∞) (–∞, ∞)
Answers
Answer:
To compare the two functions, it is necessary to find the x values for which each function is positive.
For f(x), we can solve for when it is positive by setting the equation equal to zero and finding the x-intercepts.
-x^2 + 2x = 0
-x(x - 2) = 0
-x = 0 and x = 2
This tells us that f(x) is positive for (-inf, 0) and (2, inf).
Next, for g(x), we can solve for when it is positive by setting the equation equal to zero and finding the x-intercept.
log(2x+1) = 0
2x + 1 = 1
x = 0
This tells us that g(x) is positive for (0, inf).
Therefore, the interval on which both functions are positive is (0, 2).
Which ordered pair represents the point labeled as I?
The x-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2. The y-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2. The point G is to the left one and one-fourth units and down one-half unit from the origin. The point H is to the left one-half unit and up one and one-fourth units from the origin. The point I is to the right three-fourths unit and up three-fourths unit from the origin. The point J is down one and one-fourth units from the origin.
negative one and one-fourth, negative one-half
negative one-half, one and one-fourth
three-fourths, three-fourths
0, negative one and one-fourth
Answers
"The given statement is option C."The point I is located three-fourths unit to the right and three-fourths unit up from the origin. So the ordered pair that represents point I is (3/4, 3/4). Which shows (3/4, 3/4) as one of the options.
It is important to remember that the x-coordinate represents the horizontal distance from the origin and the y-coordinate represents the vertical distance from the origin.
The signs of the coordinates indicate the direction: positive indicates to the right or up, while negative indicates to the left or down. In this case, the x-axis starts at -2 and goes up to 2 with tick marks every one-fourth unit, and the y-axis starts at -2 and goes up to 2 with tick marks every one-fourth unit.
By following the directions given, we can determine the location of each point and its corresponding ordered pair.The point I is located to the right three-fourths unit and up three-fourths unit from the origin. Therefore, the ordered pair that represents the point labeled as I is (3/4, 3/4).
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a marketing company is testing eight different page designs for its new catalogue of clothing. the chain wants to know if there is a significant difference in sales dollars between the eight different designs. what analysis is most appropriate (confidence interval, one-sample hypothesis test, two-sample hypothesis test, anova, linear regression)
Answers
A marketing company is testing eight different page designs for its new catalogue of clothing. The analysis is most appropriate is ANOVA
The best analysis to use to determine whether there is a noticeable difference in sales amounts between the eight various page designs in the marketing company's new clothing catalogue is Analysis of Variance. In this instance, the averages of the sales figures for each of the eight page designs were compared using the statistical technique known as an ANOVA.
If there is a statistically significant difference between the group means, then at least one of the patterns may be linked to a higher degree of revenue than the others. This can be determined using an ANOVA. The marketing firm can use this data to identify the page designs that are most successful at driving purchases and change their catalogue as necessary to maximise income.
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Can someone please help me with that please?
Answers
The sixth term is -48672 * x^5.
The coefficient of the fourth term is -2880.
The third term in ascending powers of x is 540 * x^8.
How to solveTo find the terms and coefficients in the expansion of (3x - 2)^10, we'll use the binomial theorem which states that:
(a + b)^n = Σ [C(n, k) * a^(n-k) * b^k] for k = 0 to n
where C(n, k) is the number of combinations (n! / (k!(n - k)!)) and Σ is the summation symbol.
Here, n = 10, a = 3x, and b = -2.
Sixth term:
To find the sixth term, we'll plug k = 5 into the formula (since the index starts from 0):
C(10, 5) * (3x)^(10 - 5) * (-2)^5 = 252 * (3x)^5 * (-32)
The sixth term is -48672 * x^5.
Coefficient of the 4th term:
To find the coefficient of the fourth term, we'll plug k = 3 into the formula:
C(10, 3) * (3x)^(10 - 3) * (-2)^3 = 120 * (3x)^7 * (-8)
The coefficient of the fourth term is -2880.
Third term in ascending powers of x:
In ascending powers of x, the third term corresponds to x^2. Here, k = 2:
C(10, 2) * (3x)^(10 - 2) * (-2)^2 = 45 * (3x)^8 * 4
The third term in ascending powers of x is 540 * x^8.
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after analyzing the sales data from both curbside pickup and delivery orders, a local pizza joint obtains the following 95% confidence intervals for the mean of pickup orders and delivery orders: pickup orders: between $33 and $51 per order delivery orders: between $21 and $41 per order can you conclude that an average pickup order has higher amount than an average delivery order?
Answers
Based on the information provided, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.
Based on the information given, we can conclude that there is a 95% chance that the true mean for pickup orders falls between $33 and $51, and the true mean for delivery orders falls between $21 and $41. However, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.
To determine if there is a significant difference between the means of the two groups, we need to perform a hypothesis test. We can set up our null hypothesis as "there is no significant difference between the means of the pickup and delivery orders" and our alternative hypothesis as "the average pickup order has a higher amount than the average delivery order."
We can use a two-sample t-test to test this hypothesis. Assuming equal variances, we would calculate the test statistic as
t = (xpickup - xdelivery) / (s / √n)
where xpickup and xdelivery are the sample means for pickup and delivery orders, s is the pooled standard deviation, and n is the sample size for each group.
If our calculated t-value is greater than the critical value at a chosen significance level (e.g. 0.05), we can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups.
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the significance level indicates the probability of rejecting the null hypothesis when group of answer choices the research hypothesis is false the research hypothesis is true the null hypothesis is true the null hypothesis is false
Answers
The significance level, denoted by alpha (α), is a predetermined threshold used in hypothesis testing to determine the probability of rejecting the null hypothesis when it is actually true.
How significance level of rejecting the null hypothesis is true?The steps involved in determining the significance level are as follows:
Set up the null and alternative hypotheses: In hypothesis testing, we have two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis is the default position that there is no significant difference or relationship between two variables, while the alternative hypothesis is the hypothesis that contradicts the null hypothesis. Choose a significance level: The significance level (α) is the predetermined threshold used to determine the probability of rejecting the null hypothesis. It is usually set at 0.05 or 0.01, which means that the researcher is willing to accept a 5% or 1% probability of rejecting the null hypothesis when it is actually true.Calculate the test statistic and p-value: After collecting data, we calculate a test statistic (such as t, F, or chi-square) and its corresponding p-value, which indicates the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true.Compare the p-value to the significance level: If the p-value is less than the significance level, we reject the null hypothesis and accept the alternative hypothesis. If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.Therefore, the significance level indicates the probability of rejecting the null hypothesis when it is actually true. A smaller significance level (e.g., 0.01) means that the researcher is less willing to accept the risk of rejecting the null hypothesis when it is actually true, while a larger significance level (e.g., 0.05) means that the researcher is more willing to accept that risk.
In conclusion, the significance level is a critical parameter in hypothesis testing that helps researchers make decisions about the null hypothesis. By setting a predetermined threshold for the probability of rejecting the null hypothesis, researchers can control the risk of Type I error (rejecting the null hypothesis when it is actually true) in their statistical analyses.
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what does x(x+2) equal it's for some expression for algebra
Answers
Answer:
[tex]x^{2}[/tex] + 2x
Step-by-step explanation:
Helping in the name of Jesus.
Answer:
x^{2} + 2x
Step-by-step explanation:
The person who answered above me is correct
Two figures are arranged as shown. Select all the expressions that can be used to find the area of the figure that is shaded light gray.
Answers
For given squares, the area of the light greyed figure will be 9²-x² unit².
What are squares?
In mathematics, a square is a geometric shape with four sides of equal length and four right angles. It is also a special case of a rectangle where all sides have the same length. A square can also be defined as a regular quadrilateral, which means all its interior angles are right angles (90 degrees) and all its sides are congruent.
The area of a square can be calculated by multiplying the length of one side by itself, written as A = s², where A is the area and s is the length of a side.
Now,
side of bigger square=9
side of dark greyed square=x
as
Area of light greyed figure will be = area of bigger square - area of dark greyed square
Area(light greyed)=9²-x²
Hence,
the area of the light greyed figure will be 9²-x² unit².
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18/99 simplified 20 point givedif helped
Answers
18/99 simplified is 2/11 by dividing the numerator and denominator by 9.
What is simplification?A mathematical expression can be simplified by replacing it with an equivalent one that is easier (typically shorter), for example. In computer algebra, formulas of algebra are simplified. Boolean equation simplification is also known as logic optimization.
To simplify 18/99
We need to simplify the denominator and numerator by the greatest common factor.
In 18 and 99, 9 is the greatest common factor so, we can divide the numerator and denominator by 9 .
[tex]\frac{18}{99} = \frac{18/9}{99/9} \\\frac{18}{99} = \frac{2}{11}[/tex]
Therefore 18/99 simplified is 2/11
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6 stylar wants to adopt a whate through BC wild killer whale adoption program. The cost of I year adoption is $594 Stylor whale walks his neighbour's dog to fause the money. He gets & 3 for each walk Make a table to show the amount left to raise 1, 2, 3,4 and 5 walks b wright a pattern rule that relates the number of walls to the amount left to raise write on expression to represes de after pattern C e Find the amount left to rise after it wo after how many walks all exglas how tax though money? How do do you know
Answers
Answer:
Number of Walks | Amount Left to Raise
0 | $594
1 | $581
2 | $568
3 | $555
4 | $542
5 | $529
Pattern Rule: The amount left to raise decreases by 13 each time the number of walks increases by 1.
Expression: Let n = the number of walks. Amount left to raise = 594 - 13n
After 2 walks, there is $568 left to raise. You know this because 2 multiplied by 13 (the number subtracted for each walk) is 26. Subtract 26 from 594 to get 568.
Please help with this one I need to be done with this one yall.
Answers
Answer:
Step-by-step explanation:
Middle right = 3
Bottom left = 15t
Answer:
In the explanation
Hope this helps!
Step-by-step explanation:
3 * ( 5t + 4 )
3 * 5t + 3 * 4
15t + 12
The table shows the information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
A. 36
B. 50
C.54
D.63
Answers
Suppose 275 trout are seeded into a lake. Absent constraint their population will grow by 75% a year. If the lake can sustain a maximum of 2700 trout use a logistic growth model to estimate the number of trout after 2 years
Answers
Answer: 1729 trout.
Step-by-step explanation:
We can use the logistic growth model to estimate the number of trout after 2 years:
N(t) = K / (1 + (K/N0 - 1) * e^(-rt))
where:
N(t) is the number of trout at time t
K is the carrying capacity of the lake (2700 trout)
N0 is the initial population (275 trout)
r is the growth rate (75% or 0.75, per year)
e is the base of the natural logarithm, approximately equal to 2.71828
To estimate the number of trout after 2 years, we can plug in t = 2 and solve for N(t):
N(2) = 2700 / (1 + (2700/275 - 1) * e^(-0.75*2))
N(2) = 2700 / (1 + 8.8 * e^(-1.5))
N(2) ≈ 1728.7
Therefore, we can estimate that the number of trout after 2 years will be approximately 1729 trout.
In preparation towards a speech day celebration, a schools management committee approved the following budget on some projects. Use the information below to answer the questions that follow. ACTIVITY Painting school building Mending cracks on the netball pitch Restock the computer laboratory with new computers Buying of new cadet uniform Buying prizes for award COST (GHC) 2.940.00 4,250.00 9.990.00 8.940.00 5,270.00 and buying of new cadet uniform.
Answers
Based on the given information, we can answer the following questions:
Therefore, the total cost of all the approved projects is 31,390 GHC.
Which project has the highest cost?The project with the highest cost is "Restock the computer laboratory with new computers" with a cost of 9,990 GHC.
What percentage of the total budget is allocated to buying prizes for awards?Percentage of budget = (Cost of buying prizes / Total cost) x 100%
Percentage of budget = (5,270 / 31,390) x 100%
Percentage of budget = 0.1676 x 100%
Percentage of budget = 16.76%
Therefore, 16.76% of the total budget is allocated to buying prizes for awards.
Which project has the highest cost in the budget approved by the school management committee?The project with the highest cost in the budget approved by the school management committee is restocking the computer laboratory with new computers, with a cost of GHC 9,990.00.
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Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switching rooms between classes. The rest of her day is spent in 6 classes that are all the same length. How long is each class?
A. 1 1/15 hours
B.1 3/20 hours
C.1 11/60 hours
D. 1 4/15 hours
Answers
Answer:
First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
(7 + 3/5) x (60) = 456 minutes
Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes.
We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long.
Step-by-step explanation:
Identify the equation of the quadratic function that passes through the points (-2, 0), (2, - 16) and (6, 0).
WILL GIVE BRAINLIEST
Answers
An equation of the quadratic function that passes through the points (-2, 0), (2, - 16) and (6, 0) is: D. f(x) = (x - 2)² - 16.
How to determine the factored form of a quadratic equation?In this exercise, you are required to determine the factored form of the given quadratic function that passes through the points (-2, 0), (2, - 16) and (6, 0).
In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided in the graph above, we can determine the value of a as follows:
f(x) = a(x - h)² + k
0 = a(-2 - 2)² - 16
0 = 16a - 16
16 = 16a
a = 1
Therefore, the required quadratic function is given by:
f(x) = a(x - h)² + k
f(x) = y = (x - 2)² - 16
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given point O is the center of each circle:
Answers
Using the central angle theorem, we can find that the value of the angle:
∠ BOC = 130°.
Define central angle?An inscribed angle is the angle formed inside the circle when two chords intersect it. It can also be defined as the angle made by two specific points at a given location on a circle. Instead, an inscribed angle is defined by two circle chords that share an endpoint.
In the given question,
O is the centre of the circle.
OC, OD, OE, OA and OB are all radius of the circle.
AC and BD are the diameters of the circle.
As BD intersects AC and the angles are given as:
∠COD = 50°
∠DOE = 60°
So, ∠ AOE = 180 - 50 - 60
= 70°
Similarly, ∠AOB = 50°.
Now, ∠ BOC = 360° - 50° - 60° - 70° - 50°
= 130°
Therefore, ∠ BOC = 130°.
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Who know angle pairs????????????
Answers
Answer and Step-by-step explanation:
We want to find the measure of angle ABD (∠ABD).
We can tell by looking at this triangle that the array BD creates complementary angles (two angles who's sum equals 90°). ∠CBD is given to us, and we want to find ∠ABD. By knowing that these two angles will add up to 90°, we can create a formula to solve for ∠ABD.
90° = ∠ABD + ∠CBD
Plug in the angle for ∠CBD.
90° = ∠ABD + 45°.
Subtract 45° from both sides of the equation.
90° - 45° = ∠ABD + 45° - 45°
45° = ∠ABD
So, angle ∠ABD is 45°.
Have a great day!
Answer:
∠ABD = 45°
Step-by-step explanation:
∠ABC = 90° (right angle)
∴ ∠ABD = ∠ABC - ∠CBD
= 90° - 45°
= 45°
Which of the following is the inverse of F) =-2x+ 3?
Answers
Answer:
[tex]\boxed{f^{-1}(x)=\frac{x-3}{-2}}[/tex]
Step-by-step explanation:
The inverse of the function satisfies the following:
[tex]f(a)=b \qquad \implies \qquad f^{-1}(b)=a[/tex]
Given the expression:
[tex]f(x)=-2x+ 3[/tex]
The inverse function can be calculated with the next steps:
replace [tex]f(x)[/tex] with [tex]y[/tex] Solve for the variable x based on the variable y.Variables are swapped.[tex]\begin{aligned}f(x)=-2x+3 &\rightarrow y=-2x+3\\&\rightarrow y-3=-2x\\& \rightarrow x= \frac{y-3}{-2} \\&\therefore f^{-1}(x)=\frac{x-3}{-2}\end{aligned}[/tex]
Hope it helps.
[tex]\text{-B$\mathfrak{randon}$VN}[/tex]
two different 3 digit numbers have the same digits, but in reserve rder. no digit is zero. if the numbers are subtracted, what is the kargest possible difference?
Answers
The largest possible difference between two different 3-digit numbers with the same digits in reverse order is 792.
Let's assume the two numbers are ABC and CBA. The largest possible difference is achieved when the digits A and C have the largest possible difference.
If A > C, then the difference would be (ABC - CBA) = (100A + 10B + C) - (100C + 10B + A) = 99A - 99C = 99(A - C).
If A < C, then the difference would be (CBA - ABC) = (100C + 10B + A) - (100A + 10B + C) = 99C - 99A = 99(C - A).
Since we want the largest possible difference, we want to maximize the difference between A and C. The maximum possible difference between two single-digit non-zero numbers is 9. So, we want A = 9 and C = 1.
Therefore, the two numbers are 901 and 109, and the largest possible difference is (901 - 109) = 792.
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Dayna deposited $2,978 into savings account that pays a simple annual interest rate of 1.8%. How much interest will she earn after 3 months? Round answer to the hundredths place.
Answers
Dayna will earn $13.43 in interest after 3 months.
What is interest?Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is usually expressed as an annual percentage rate, interest expense or revenue is frequently expressed as a dollar amount.(APR).
To calculate the interest earned by Dayna after 3 months, we need to convert the interest rate to a monthly rate, since the time period given is in months.
The monthly interest rate can be calculated by dividing the annual interest rate by 12 (the number of months in a year):
monthly interest rate = 1.8% / 12 = 0.15% per month
Now we can use the formula for simple interest to calculate the interest earned:
simple interest = principal x rate x time
Where:
principal is the amount of money depositedrate is the interest rate per time period (as a decimal)time is the duration of the investment (in the same time units as the rate)We know the principal is $2,978, the rate is 0.15% per month, and the time is 3 months. We can plug these values into the formula and solve for the simple interest:
simple interest = $2,978 x 0.0015 x 3
Simplifying:
simple interest = $13.43
Therefore, Dayna will earn $13.43 in interest after 3 months.
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This week Andres will practice with his band for 1`\frac{1}{2}` hours on Monday, 1`\frac{3}{4}` hours on Tuesday, and 2 hours on Wednesday. Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, and Wednesday. What is the total number of hours Andres will practice with his band over these 6 days?
Answers
Andres will practice with his band for a total of 6 hours and 45 minutes over these 6 days.
To add these times, we need to find a common denominator for 2, 4, and 8, which is 8.
1[tex]\frac{1}{2}[/tex] can be written as [tex]\frac{4}{8}[/tex],
1[tex]\frac{3}{4}[/tex] can be written as [tex]\frac{7}{8}[/tex],
and 2 can be written as [tex]\frac{16}{8}[/tex].
Now we can add the times:
[tex]\frac{4}{8} +\frac{7}{8} +\frac{16}{8} =\frac{27}{8}[/tex]
So Andres will practice for [tex]\frac{27}{8}[/tex] hours this week.
Next week, he will practice for the same number of hours on each day, so he will practice for a total of [tex]\frac{27}{8}[/tex] hours over the three days.
To find the total number of hours he will practice over the 6 days
[tex]\frac{27}{8} + \frac{27}{8} = \frac{54}{8}[/tex]
Simplifying,
[tex]\frac{54}{8} = 6\frac{3}{4}[/tex]
Andres will practice with his band for a total of 6 hours and 45 minutes over these 6 days.
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