Answer:
\(96 \: {m}^{2} \)
The correct answer is B
Step-by-step explanation:
First, we have to find the area of one side of the cube:
\(a(side) = 4 \times 4 = 16\)
Now multiply this number by 6 (since the cube has 6 sides in total):
\(a(surface) = 16 \times 6 = 96\)
Answer: B - 96 sq m
Step-by-step explanation:
The surface area is the area of all the squares added up. To find the area of one square, you multiply 4 x 4, which equals 16. Then, count the number of sides on the cube. There are 6 sides on this cube. So, you multiply 16 x 6. 96 is your total. And you can eliminate C because it says meters instead of square meters.
Represent the following sentence as an algebraic expression, where "a number" is the letter x. 3 is decreased by a number.
Answer:
3-x
Step-by-step explanation:
Over the past 36 months, Lois
has slowly lost 144 pounds.
Her weight dropped from 284
pounds down to 140 pounds.
During this time, what has
been Lois's average weight loss per month?
Answer:
4 lb/month
Step-by-step explanation:
loss of 144 lb in 36 months
144/36 = 4
Answer: 4 lb/month
If Ricardo has $530.19 in deductions, what is his net pay?
PLEASE HELP
Answer:
ei mulher tu é br é??????????????????????????????
Step-by-step explanation:
Determine which translations would map Figure
W onto Figure X
The sequence of steps that translates figure W to figure X are -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.Refer to the image attached. It shows figure W and figure X. We can write the sequence of steps for the given translation as -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.To solve more questions on translations, visit the link-
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A snail travels 12 centimeters in 4 minutes. The snail travels the same distance each minute. How many milliliters did the snail travel each minute?
Answer:
the snail travels 30 mm per minute
Step-by-step explanation:
Well 12 cenitmters divided by 4 minutes equals the amount of centimeters the snail travels per minute, which is 3 centimeters (12 / 4 = 3). but be careful cuz we need to convert the 3 cm to mm. 1 cm = 10 mm so 3 cm = 30 mm.
the snail travels 30 mm per minute
Which set of three angles could represent the interior angles of a triangle?
Answer:
As a claustrophobia, I can ????
O 35°, 35°, 20°
4 of 8
Write 8 as a product of three primes.
Answer:
2 × 2 × 2
Step-by-step explanation:
Simplify each expression
1. -6(a+8)
2. 4(1+9x)
3. 6(-5n+7)
4. (9m+10) • 2
5. (-4 - 3n) • -8
6. 8(-b - 4)
7. (1-7n) • 5
8. -6(x+4)
9. 5(3m-6)
10. (-6p+7) • -4
11. 5(b-1)
12. (X+9) • 5
Answer:
See below
Step-by-step explanation:
1.
-6(a + 8)
Distribute the -6.
-6a - 48
2.
4(1 + 9x)
Distribute the 4.
4 + 36x or 36x + 4
3.
6(-5n + 7)
Distribute the 6.
-30n + 42
4.
(9m + 10) * 2
Rewrite.
2(9m + 10)
Distribute the 2.
18m + 20
5.
(-4 - 3n) * -8
Rewrite.
-8(-4 - 3n)
Distribute the -8.
32 + 24n or 24n + 32
6.
8(-b - 4)
Distribute the 8.
-8b - 32
7.
(1 - 7n) * 5
Rewrite.
5(1 - 7n)
Distribute the 5.
5 - 35n or -35n + 5
8.
-6(x + 4)
Distribute the -6.
-6x - 24
9.
5(3m - 6)
Distribute the 5.
15m - 30
10.
(-6p + 7) * -4
Rewrite.
-4(-6p + 7)
Distribute the -4.
24p - 28
11.
5(b - 1)
Distribute the 5.
5b - 5
12.
(x + 9) * 5
Rewrite.
5(x + 9)
Distribute the 5.
5x + 45
A market trader asks 500 for some cloth. a woman offers 1200, after bargaining they agree a price half way betweeb the two starting prices
Answer:
850
Step-by-step explanation:
To find the midpoint just find the average between the two
1700/2=850
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
\(\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\)
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
\(\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}\)
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
\(\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}\)
\(\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\).
2. The scatter plot below represents 2011 data comparing the average teacher salary and average student/teacher ratios for a number of school districts in the state of Vermont.
Choose True or False for A thru E
look at the IMAGE PLEASE
Answer:
its true
Step-by-step explanation:
the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure
Answer:
180
Step-by-step explanation:
Answer: ejejejwjfmfmdnc
Step-by-step explanation:
Plato!!! Please help ~_~
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter,
respectively,
The volume of the block is (——)
cubic centimeter.
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut
from the rectangular block is(—)
Answer goes in the (—)
Answer:
V = 3/8 * 1/8 * 5/8 cm^3 = 15 / 512 cm^3
Since all sides are evenly divisible by 1/8 and v = (1 / 8)^3 = 1 / 512 cm^3
N = V / v = (15 / 512) / (1 / 512) = 15 blocks
Example: cut 1/8 by 5/8 into 5 blocks
Cutting 1/8 by 5/8 could be done 3 times for a total of 15 blocj\ks
ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
EASY WORK!Plz look at the photo.
Answer:
1. >
2. =
3. >
4. <
5. =
6. >
7. <
What are the numbers in #8 and #9?
Step-by-step explanation:
Please help with this
Answer:
B
Step-by-step explanation:
need help pleaseeeeeeeeee
The value g(7) of the function g(x) = 7 / 8 x - 1 / 2 is 45 / 8.
How to solve function?A function relates each element of a set with exactly one element of another set (possibly the same set).
In a simpler term, a function relates an input to an output.
Therefore, let's find the value of g(7) for the function below:
g(x) = 7 / 8 x - 1 / 2
Hence,
g(7) = 7 / 8 (7) - 1 / 2
g(7) = 49 / 8 - 1 / 2
g(7) = 49 - 4 / 8
Therefore,
g(7) = 45 / 8
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a movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. they show the movie to a test audience of 140 people, and after the movie they asked them if they would see the movie in theaters again. of the test audience, 66 people said they would see the movie again.
Answer: the test is 47 percent
Step-by-step explanation: 66 out of 140 is 47 percent so it would work
1. find three consecutive integers such that twice the least integer is 12 more than the greater integer.
2. The perimeter of a rectangle is 150 cm the length is 15cm greater than the width. Find all of the dimensions, please.
Answer: offf
Step-by-step explanation:off
A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.
Answer:
24 is the number. The sum of its digits is 6.
Step-by-step explanation:
There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:
24 = 4 × 6 = 4 × (2 + 4)
In an elastic collision, momentum and kinetic energy are conserved.T or F?
Answer: True. In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the system before the collision is equal to the total momentum and total kinetic energy of the system after the collision.
Step-by-step explanation:
Find the total in the retirement account given the following conditions:
Monthly contributions = $225
Interest rate = 4.99%
Years invested = 38
To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.
The formula for the future value of an investment with regular monthly contributions is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value or the total in the retirement account.
P is the monthly contribution amount.
r is the monthly interest rate (annual interest rate divided by 12).
n is the number of monthly contributions (years invested multiplied by 12).
Let's calculate the total:
P = $225
r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)
n = 38 * 12 = 456 (number of monthly contributions)
FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583
Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.
The calculated total may vary depending on the compounding frequency and rounding used.
A crab moves at a speed of 0.14 kilometers per hour. How far can it travel for 0.25 hours?
Answer:
0.14×0.25= 0.035 KM
so it can travel 0.035KM in 0.25 hr
Answer:
0.035 kilometers
Step-by-step explanation:
Proportions:
0.14 kilometers ⇒ 1 hour
A kilometers ⇒ 0.25 hour
A = 0.14 kilometers * 0.25 hour / 1 hour
A = 0.035 kilometers
Please need answer thanks
Answer:
Area of the shaded region= 4 units
Step-by-step explanation:
width (x-axis)= 3-1 = 2
length (y-axis) = 2-0 = 2
Area of rectangle= Length × Width
= 2 × 2 = 4
Find last year's salary if, after a 4% pay raise, this year's salary is $41,080.
Answer:
$39500
Step-by-step explanation:
104%-41080
1%-395
last year's salary=395*100=39500
Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
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Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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At a chocolate shop, 93 out of the last 217 chocolates sold had mint filling. What is the experimental probability that the next chocolate sold will have mint filling?
Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in the office photocopying machines per month. She believes that the number of loans originated in a month influence the volume of photocopying performed. She has compiled the following recent monthly data:
Number of Loans Originated in Month Sheets of Photocopy Paper
used (1000s)
45 22
25 13
50 24
60 25
40 21
25 16
35 18
40 25
(a) Develop the least-squares estimated regression equation that relates sheets of photocopy paper used to loans originated.
(b) Use the regression equation developed in part (a) to forecast the amount of paper used in a month when 42 loan originations are expected.
(c) Compute the coefficient of determination r2. Comment on the goodness of fit.
(d) Compute the correlation coefficient.
(e) Is there a significant relationship between the two variables? Use a significance level of 0.05 and explain using numerical examples.
Answer:
y = 0.325X + 7.5 ;
21.5 ;
R^2 = 0.7655 ;
r = 0.8749
Step-by-step explanation:
No. of loans originated ____ sheets of p/paper
45 ______________22
25 ______________ 13
50 _____________ 24
60 _____________ 25
40 _____________ 21
25 _____________ 16
35 _____________ 18
40 _____________ 25
Using the linear regression calculator : the linear model obtained is:
y = 0.325X + 7.5
y = predicted variable = sheets of photocopy paper
X = number of loans originated
0.325 = slope
Intercept = 7.5
B.)
X = 42
y = 0.325(42) + 7.5
y = 21.15
C.)
The Coefficient of determination as determined using the correlation coefficient calculator is :
R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.
D.) The correlation Coefficient (r) :
r = sqrt(R²)
r = sqrt(0.7655)
r = 0.8749
This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.