Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The number 6.12 has two digits after the decimal while the number 47.5 has only one digit after the decimal therefore, as per the law of significant figures, to deduct 6.12 from 47.5, we need to put one zero at the end of 47.5.
Also, there are two digits in 47.50 before the decimal while 6.12 has only one, therefore, As per the law of significant figures, one zero will be added before 6.12. Thus, the deduction now can be done as,
4 7 . 5 0
- 0 6 . 1 2
4 1 . 3 8
Hence, Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
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I have NO IDEA how to do! Please help with this one!!!! 50 pts
[tex]\displaystyle \int \dfrac{dx}{5x^2 -10x +15}\\\\\\=\displaystyle \int \dfrac{dx}{5(x^2-2x+3)}\\\\\\=\dfrac 1 5 \displaystyle \int \dfrac{dx}{x^2-2x+3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{x^2 -2x +1^2 -1 +3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{(x-1)^2+2}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{du}{u^2 +\left(\sqrt 2 \right)^2}~~~~~~~~~;[x-1 =u \implies dx = du]\\\\\\\\[/tex]
[tex]=\dfrac 1 {5\sqrt 2} \tan^{-1} \left( \dfrac u{\sqrt 2}\right)+C~~~~~~;\left[\displaystyle \int \dfrac{dx}{a^2 +x^2} = \dfrac 1a \tan^{-1} \left( \dfrac xa \right) +C\right]\\\\\\=\dfrac{1}{5\sqrt 2} \tan^{-1} \left( \dfrac{x-1}{\sqrt 2}\right)+C[/tex]
Describe a data set that has the same mean, median, and mode.
I not really understanding this question could somebody help
Answer: Okay, so you probably already know this but,
The mean - is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number.
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Step-by-step explanation:
In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.
hope this helps you!!
Answer:
One of the many examples is {0, 0, 0, 0, 0}
Step-by-step explanation:
The mean is the average of a data set.
The median is the number in the middle (or between the 2 middle numbers) of a data set that is placed from least to greatest.
The mode is the value that shows up the most times in the data set.
A few examples of a set with the same mean, median, and mode could be any number repeated in a data set:
{0, 0, 0, 0, 0}
This would work because the mean is 0, the median is 0, and the mode is 0.
The vertices of a rectangle are located at (2, 5), (4, 3), (-2, -3) and (-4, -1).
What is the approximate perimeter of the rectangle?
Answer:
8
Step-by-step explanation:
P=2(l+w)=2·(1+3)=8 The length was 1 and the width was 3.
Q 06. Payson is thrice as fast as Amen at completing a task. They both pick up a task together, and complete it in 5 days. How many days will Amen take to do it alone? Ops: A. O 10 days B. O 20 days C. O 25 days D. O 15 days
Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
Proporions and fractionsFrom the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
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Simplify the expression 4(2f−5g) + 6g.
Answer:
8f-14g is the answer
Step-by-step explanation:
3/5 = 24/40 =?/60. what comes at the question mark?
Answer:
? = 36
Step-by-step explanation:
Knowing that 3/5 and 24/40 is equal
Therefore we can either use:
3/5 = ?/60 or 24/40 = ?/60
I will use 3/5 = ?/60
Let ? = x
Hence we have
3/5 = x/60
Multiply both sides by 10
6 = x/6
Multiply both sides by 6
x = 36
Therefore, the question mark = 36
Let's check the answer by Simplifying the fraction:
3/5 = 36/60
3/5 is in already simplify
36/60 simplify = 3/5
3/5 = 3/5
Thus, the question mark = 36
[RevyBreeze]
Step-by-step Solution:
Let the "?" be known as "x".
Given equation:
3/5 = 24/40 = x/60
Therefore, we obtain the following equations:
Equation 1: 3/5 = 24/40Equation 2: 3/5 = x/60Equation 3: 24/40 = x/60Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.
3/5 = x/6024/40 = x/60Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.
Determining the "x" variable in Equation 2:
⇒ 3/5 = x/60⇒ 5x = 60 × 3 [Cross multiplication]⇒ 5x = 180 [Simplifying]⇒ 5x/5 = 180/5 [Dividing]⇒ x = 36 [Simplifying]Determining the "x" variable in Equation 3:
⇒ 24/40 = x/60⇒ 40x = 24 × 60 [Cross multiplication]⇒ 40x = 1440 [Simplifying]⇒ 40x/40 = 1440/40 [Dividing]⇒ x = 36 [Simplifying]Therefore, the value of "?" is 36.
The inequality 6 -fx < x - 9 is equivalent to
Answer:
f<−1+15/x
Step-by-step explanation:
Round to the nearest thousandth, then subtract: 2.87349 1.54324
Answer:
1.33
Step-by-step explanation:
2.87349 rounded to the nearest thousandth is 2.873 because the number next to it (4) is less than 5.
1.54324 rounded to the nearest thousandth is 1.54324 is 1.543 because the number next to it (2) is less than 5.
Then you do 2.873 - 1.543 and that = 1.33. So 1.33 is your final answer :)
Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year. What will her salary be in 14 years? If necessary, round your answer to the nearest cent.
Beth salary in 14 years would be $62900.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
Given, Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year.
To find the interest rate:
The formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
And according to the question,
P = 37000, T = 14 years and R = 5%
Substituting all the values to the formula,
S.I. = P x T x R / 100
S.I. = 37000 x 14 x 5 / 100
= 25900
Beth final salary = principal amount + interest rate
= 37000 + 25900
= 62900
Therefore, Beth salary after 14 years is $62900.
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What is the constant of proportionality shown in the
table?
Answer:
0.5
Step-by-step explanation:
An equation is written as :
y = kxk is the constant of proportionalityTaking the first row data (x = 2, y = 1),
y = kx1 = 2kk = 1/2k = 0.5Answer:
Option A, 0.5
Step-by-step explanation:
Step 1: Determine the slope/proportionality
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{1.5-1}{3-2}[/tex]
[tex]Slope = \frac{0.5}{1}[/tex]
[tex]Slope =0.5[/tex]
Answer: Option A, 0.5
In the accompanying diagram, angle ACD is an exterior angle of triangle ABC, angle A =3x, angle ACD is =5x, and angle B=50. What is the value of x ?
The value of x in the triangle ABC is 25.
How to find angles in a triangle?The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.
The exterior angle of the triangle is given as m∠ACD = 5x.
The sum of angle in a triangle is equals to 180 degrees. Therefore,
3x + 50 + (180 - 5x) = 180
3x + 50 - 5x + 180 = 180
3x - 5x + 50 + 180 = 180
-2x + 230 = 180
subtract 230 from both sides
-2x + 230 - 230 = 180 - 230
-2x = -50
divide both sidesby -2
-2x / -2 = -50 / -2
x = 25
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how to find the missing angle when given two sides of a right triangle?
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
The height of the rectangle and the triangle are the same. The base of the triangle is half the base of the rectangle.
What is the area of the composite figure?
A. 225
B. 300
C. 375
D. 450
Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.
Answer:
.C ,375
I HOPE THIS helps i just know i got connect shons
Convert the exponential to a logarithmic form: 10^4 = 10,000
Question 1 options:
A)
log 10 = 4
B)
log 4 = 10
C)
log 10,000 = 4
D)
log 4 = 10,000
Answer:
C
Step-by-step explanation:
Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).
In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.
9876x 96- 703
WILL MARK BRAINLEST
Answer:
947393
Step-by-step explanation:
I need help pls I need to get to 80%
Answer:
False (no)
Step-by-step explanation:
A polygon needs at least three straight sides and angles
I need tho know the answer to 9/10 divided by 6/1
Answer: 3/20
Step-by-step explanation:
Inital Equation:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{6}{1}[/tex]
Find the Recipricol of 6/1:
It's: 1/6
Multiply the Recipricol of 6/1 (1/6) by 9/10
9/10 x 1/6 = 9/60
Simplify
9/60 = 3/20
Answer: 3/20
After learning so much about how art and culture are connected, it is time to explore different cultural pieces of art.
I WILL GIVE BRAINLIST
For this activity, you will search online and find a piece of art from four different cultures. You will need to copy or screenshot the four pieces of art that you decide on, and insert them into your written assignment.
You may choose any type of art from any culture that you like, but please keep in mind the appropriateness of your choices.
One you have selected your four pieces of art, you will answer several questions about each one and briefly discuss the piece.
Questions and points to discuss for each piece of art:
What culture is your piece of art from?
Why did you choose this piece?
What does this piece tell you about the culture?
Think daily life, food, celebrations and rituals, nature, and overall lifestyle.
How is this piece of art different from the rest of your choices?
Answer:
What culture is your piece of art from?
Italian Renaissance
Why did you choose this piece?
Beacuse its a beautiful piece of artwork made by one of my favorite artist.
Step-by-step explanation:
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot
39 feet
64 feet
79 feet
72 feet
96 feet
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
What is a golden rectangle?In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,
[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]
Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
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Pls pls pls pls help po
Answer:
1. you will multiply base times height:
16m * 12m = 192 sq m
2. same steps but just multiply it by two because its "twice as long"
18 cm * 6 cm = 108 * 2= 216
3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24
4. same steps like in question 1:
12 * 5 = 60
5. same steps like in question 1:
7 * 10 = 70
Step-by-step explanation:
hope this helps and have a great day!! :)
Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem
What is the height of the scale model in inches?
The mean per capita consumption of milk per year is 144 liters with a variance of 484. If a sample of 183 people is randomly selected, what is the probability that the sample mean would be less than 146.58 liters? Round your answer to four decimal places.
Answer:
12144
Step-by-step explanation11213123:
The winners of a carnival game draw a ticket from a box to determine their prize. Each winner draws a ticket and places it back into the box before the next draw. Every winner has a 33% chance of getting cotton candy, a 46% chance of getting a shirt, and a 21% chance of getting a key chain.
The game operator wants to simulate what could happen for the next ten winners. So for each winner he generates a random whole number from 1 to 100. The range of values that the game operator can use to represent a winner is 1 to 3. What is the percentage of winners who got a shirt
Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
Please help on math.
Answer:
255cm²
Explanation:
To find the area of the triangle we must us a formula which is base x height ÷ 2 divide. So on the left side it is 17 cm and on the right without the triangle it is 10 so the triangle is 7cm tall. Next on the bottom without the triangle it is 22 and with it is 12 so the base is 10 now we multiply them which will be 70 then divide it by 2 which is 35cm².
And dont forget the squared!!
find the least common denominator for thes two ratioal expression -1/y 2/5yfind the least common denominator for thes two ratioal expression -1/y 2/5y
Answer: it is -1, because y has no more complete prime factors
Step-by-step explanation:
How would I solve I need to know Asap and what is the answer
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5
Use the formula, I = PRT, to find the time if | = $387.50, P = $1,550, and R = 12.5%
Answer:
T = 2
Step-by-step explanation:
Take the given formulaer
I = PRT
And plug in the variables you know (I, P, R)
387.50 = 1,550(.125)T
(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)
387.50 = 193.75T
T = 2
Evaluate without using a mathematical table
1000(√0.0128÷200)
Answer:
0.5656854249
Step-by-step explanation:
1000(0.0128/200)
1000(0.11314/200)
1000(0.0005656854)
=0.5656854249
9) Center: (-2,9) Point on Circle: (-5, 18)
Answer:
[tex](x+2)^2+(y-9)^2=[/tex] 90
Step-by-step explanation:
The centre is (-2,9) so the first part of the equation will be (x+2)^2 + (y-9)^2 and to get the second half, you know the point on the circle which you can use to find the radius. So the triangle formed would be 3 long, 9 high and using Pythagoras you can do:
[tex]3^2+9^2=r^2[/tex]
9+81= [tex]r^2\\[/tex]
90 = [tex]r^2[/tex]
and this equation ends with r^2 so you can substitute that back into the equation so together it will be
[tex](x+2)^2+(y-9)^2=[/tex] 90
=
An apple costs twice as much as a banana.
Using the equations 2a + 4b = 2.00 and
a=2b, where a is the cost of one apple
and b is the cost of one banana, what are
a and b?
zat 45:28
=
A a= $0.25; b = $0.25
(B) a= $0.25; b = $0.50
C a= $0.50; b = $0.25
=
D a= $0.50; b = $0.50
10. Which statement is false?
Answer:
C is true
Step-by-step explanation:
The only true answer is C.
If a is 2 times greater than b, then:
A. is not possible because both sides are equal
B. is not possible because b is 2 times greater
D. is not possible because both sides are equal