Step-by-step explanation:
first of all, if he continuously earns only $160 per month (or at least in that dimension), then he will not have to pay any income tax.
but to do the exercise :
100% = $160
1% = 100%/100 = 160/100 = $1.60
10% = 1% × 10 = 1.6 × 10 = $16
he earns after tax
160 - 16 = $144
FYI :
when we combine all the calculations above into one sequence, then we know
100% - 10% = 90%
and 90% of 100% is 100% × 0.9
and so he earns after tax
160 × 0.9 = $144
In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of a NaOH solution have been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume that volumes are measured to the nearest mL and describe the sample space. (a) What is the probability that equivalence is indicated at 100 mL? (b) What is the probability that equivalence is indicated at less than 100 mL? (c) What is the probability that equivalence is indicated between 98 and 102 mL (inclusive)?
Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.
What is probability?The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.
Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.
Thus, total possibility = 10.
probability of getting 100 = 1/10
There are 5 volumes which are less than 100 here, [95, 99]. Thus, the probability = 5/10 = 1/2.
There are 5 values between 98 and 102 including these two values.
Hence, probability of getting these range = 5/10 = 1/2.
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The metered rate of fare for a New York City taxi is $2.90 upon entry and $0.25 per 1/8 of a mile when the taxi is traveling 5 miles
or more. Using these as figures, calculate the cost of a taxi ride from the Time Square to JFK Airport, a distance of 18 miles.
Answer:
$38.90
Step-by-step explanation:
$2.00 per mile x 18 miles is 36.00 then add the 2.90
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
The volume of each drinking cup is 7.9 cubic inches.
What is the volume?An office uses paper drinking cups in the shape of a cone, with dimensions as shown.
The formula provides the volume of a cone.
V = (1/3) * π * r² * h.
We can find the solution by entering the already-known data into the formula.
d = 2.75 m.
Since radius is half of d, we can say
0.5 * 2.75 = 1.375 in.
4 inches is listed as the height.
The result of plugging all of them into the original formula is:
V = (1/3) * π(1.375)² (4) = 7.9
Our final response, rounded to the closest tenth, is:
V = 7.9 cubic inches.
The volume of each drinking cup is 7.9 cubic inches.
The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
d = 2.75 m.
h = 4
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Plz help!!! Rename 3/10 and 2/3 using the least common denominator.
Answer:
9/30 and 20/30
Step-by-step explanation:
You must find the least common denominator. To do this, list the multiples of each denominator, and find the lowest number that is the same between them.
10 = 10, 20, 30, 40, 50....
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33....
the lowest multiple that is the same between them is 30.
gavin painted 14 pictures last week. he painted some more pictures this week. he painted 25 pictures in all. how many pictures did gavin paint this week
Answer:
11
Step-by-step explanation:
Based on the given conditions, formulate: 25 - 14
Calculate the sum or difference: 11
get the result: 11
Find the measure of k
Answer:
k = 56 degrees
Step-by-step explanation:
The big triangle is isosceles so the base angles are congruent. The total angle measure is 180, so the base angles are half of 180 - 56 = 124. The base angle at the lower right measures 62 degrees.
The inner triangle is also isosceles. Both its base angles must measure 62 degrees (total = 124, again!). The remaining angle, k , measures 180 - 124 = 56.
Which of the following BEST describes a TREE?
a) A complete graph, with exactly 4 vertices.
b) A connected graph, each vertex has a degree of 2 or greater.
c) A connected graph with at least 3 cycles.
d) A connected graph with no cycles.
Answer:
Step-by-step explanation:
We first start understanding what is a tree:
A tree can be understood as a graph such that two nodes ( or vertices ) are connected by at most one path.
So the best definition that fit the above one is d. Note that
In a complete graph we have multiple paths to connected two nodes. So that a is false. Similarly, b is false. If we have cycles in a graph, that implies more than two paths to connected two nodes. So c is false.
A connected graph with no cycles is used to describe a TREE so option (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
A TREE diagram is a graph where any two nodes or more are connected at one node by another segment while another remains open.
Since the TREE diagram is become by the disconnected node at one end it means it is not going to form any cycle.
Hence "A connected graph with no cycles is used to describe a TREE".
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f(x)=-2x+3 find f(3)
answer: -3 lmk if you want an explanation!
Use the distributive property to find the equivalent expression.
10(8 + 3h) =
Answer:
80+30h
Step-by-step explanation:
URGENT CLICK TO SEE LINKS WILL GET REPORTED
Answer:
what?
Step-by-step explanation:
6 Time différence n and 15
Help
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Write a recipe for a mixture that will make the same shade of green but a larger amount.
A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Now,
2 Cups of Yellow + 3.5 Cups of blue
Multiply all by 2
=4 Cups of Yellow + 7 Cups of Blue
Hence, a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
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Write the equation of the line (please answer will mark brainlist)
find the area of ABC
Area = 1/2*b*h
[tex]1 \times 2 \times b \times h[/tex]
Help please — How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.
What is Continuous compounding?Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.
[tex]A=Pe^{rt}[/tex]
where:
A is the asset's final value
P is its initial value
r is the interest rate (or rate of depreciation in the case of a depreciating asset)
t is the time periods (months, years, etc.)
A= 1200
P= 2550
r= -0.05
We want to find t, so we can rearrange the formula to solve for t:
[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]
In 15.07 month motorbike value will depreciate to less than £1200
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Proving Triangles congruent by ASA and AAS
Answer: Congruent by AAS
Step-by-step explanation:
FG and EH are congruent because they are given.
EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.
Angle EIH and Angle FIG are congruent because of the vertical angles theorem.
Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.
How do I write an equation for this relationship (where y represents the number of blocks and x represents the stage number).
The equation of the line is y = 4x + 1 , where the slope of the line is m = 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the number of blocks be y
Let the stage number be x
Let the first point be represented as P = P ( 1 , 5 )
Let the second point be represented as Q = Q ( 2 , 9 )
Now , the slope of the line between the points be
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 9 - 5 ) / ( 2 - 1 )
Slope m = 4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 5 = 4 ( x - 1 )
On simplifying the equation , we get
y - 5 = 4x - 4
Adding 5 on both sides of the equation , we get
y = 4x + 1
Therefore , the value of A is y = 4x + 1
Hence , the equation of line is y = 4x + 1
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PLEASE HELP
y = 2x + 1/3
Answer:
incorrect
Step-by-step explanation:
y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)
someone please help me !
Answer:
You to it right, 18
Step-by-step explanation:
Answer:
27 ft I think
Step-by-step explanation:
The answer is 27
Which of the following statements is TRUE if angle 4 has a measure of 127°?
If you can’t see the answer choices I apologize, but you can zoom in the photo.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
A
Step-by-step explanation:
the sum of angle 1 and angle 4 is 180
the answer is A because 53 + 127 = 180
Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.
Answer:
21.8
Step-by-step explanation:
hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.
area of circles are πr^2, so in this situation
π4^2 which is 16π.
with this, the semicircle which is half a circle would give us
16π/2 which is 8π.
but then, we have two semicircles removed so we would have as an answer:
(9*8)-8π+8π
72-16π
then you would have to round so
16π is around 50.2
so 72-50.2 is 21.8
i hope this helped you <33
PLEASE HELP ASAP I WILL MARK YOU BRAINLIEST!!!
Find the volume of the following
square pyramid.
26 om
20 cm
20 cm
V = [?] cm3
Answer:
Step-by-step explanation:
10400
Answer:
3200 cm^3
Step-by-step explanation:
1. Calculate the sides of the right triangle to get the height
We know that side c = 26 and the shortest leg is 10 cm (20cm/2) because this right triangle splits the 20cm in two)
[tex]10^{2} + b^{2} = 26^{2} \\100 + b^{2} = 676\\b^{2} = 576 \\b = \sqrt{576} \\b = 24[/tex]
a = 10, b = 24, c = 26
2. Use the formula for the volume of a square pyramid now that you have the height (which is b)
[tex]V = a^{2} \frac{h}{3} \\\\V = 20^{2} * \frac{24}{3} \\V = (400)(8)\\V = 3200 cm^{3}[/tex]
V = 3200
I hope this helped! :)
What is the constant rate of change for the relationship shown in the table?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now, in about how many years will it take to reach $20 per month? Use the equation 20 = 8(1.2)x to solve the problem. Round to the nearest year.
PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.
PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.
I PUT IT TWICE BECAUSE U PEOPLE DONT GET IT!!!!!
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DONT MAKE ME GO CRAZY!!!!
Answer:
2209
Step-by-step explanation:
The interquartile range is the 3rd quartile minus the 1st quartile. To find the quartiles, you need to find the median.
First, put the values in order.
17012, 18140, 17362, 16697, 14387 becomes
14387, 16697, 17012, 17362, 18140
The median is the value in the middle, so 17012. The first quartile is the median of the numbers to the left of the median. The numbers to the left are 14387 and 16697. Because there are an even amount of numbers, there's no middle. So the median of those values is the average (aka the sum divided by the number of values).
14387 + 16697 = 31084. Then divide that by 2 (the number of values) and you get 15542. So 15542 is the first quartile.
The 3rd quartile is the median of the values to the right. It is 17751 because 17362 and 18140 are the numbers to the right of the median. 17362 + 18140 = 35502 and 35502/2 = 17751.
The interquartile range is the 3rd quartile minus the 1st quartile
17751 - 15542 = 2209
- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.
It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.
What size does a flag have?Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.
Why are all flags square?A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.
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Compare 8.002 to 8.20. Which is greater?
Answer:
8.20
Step-by-step explanation:
8.20 is greater than 8.002 due to 0.20 being greater than 0.002
7 3
What is another way to write the equation +--62
O
7+3
8+4
7 3
08
x=-6
7
X=-6
3
an equation to model this situation is 200 = x+ 2 *t and 220 pounds is his total weight after 30 weeks
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
x initial weight of John
weight gained 1 week = 2 pounds
no. of weeks = 20=t
Final weight of John = 200 pounds
200 = x+ 2 *t ---------(1)
no. of weeks = 20=t
From eq(1)
x = 160 pounds= intial weight
So,
[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]
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Identify the basic shapes in the figure:)
If z is a standard normal random variable and A is a positive number, then P(z<−A)=P(z>A)
True or False?
Answer:
True
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
As the normal distribution is symmetric, we have that [tex]P(z < -A) = P(z > A)[/tex]
For example:
[tex]z = -2[/tex] has a pvalue of 0.0228, which means that [tex]P(z < -2) = 0.0228[/tex]
[tex]z = 2[/tex] has a pvalue of 0.9772, which means that [tex]P(z > 2) = 1 - 0.9772 = 0.0228[/tex]
True or False?
As shown above, this statement is True, due to the symmetry of the normal distribution.