Answer:
(x+5) metres
Step-by-step explanation:
correct question
The rectangle below has an area of x^2+8x+15 square meters and a width of x+3 meters. What expression represents the length of the rectangle?
Area of the rectangle = Length * width
Factorize the area
A(x) = x^2+8x+15
A(x) = x^2+3x+5x+15
A(x) = x(x+3) + 5(x+3)
A(x) = (x+3)(x+5)
Since the width is x+3, the length of the rectangle will be (x+5) metres
if a car is worth 16400 and it depreciates 8.25, in 10 years how much will it be worth?
Answer:
$6932.73
Step-by-step explanation:
16400(0.9175)^10
6932.73464
Trading 10 points for air :)
I'm under I know....
Answer:
what kind of air
Step-by-step explanation:
PLEASE HELP!! STUCK FOR A WHILE
solve for x
y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y when this value of x is multplied by 1/2.
Answer:
The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].
Step-by-step explanation:
According to the statement, we have the following relationship:
[tex]y = k\cdot x^{3}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]k[/tex] - Proportionality constant.
We can eliminate the proportionality constant by constructing the following relationship:
[tex]\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}[/tex]
If we know that [tex]y_{1} = y[/tex], [tex]y_{2} = 5[/tex], [tex]x_{2} = x_{o}[/tex] and [tex]x_{1} = \frac{1}{2}\cdot x_{o}[/tex], then the value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is:
[tex]\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}[/tex]
[tex]\frac{5}{y} = 8[/tex]
[tex]y = \frac{5}{8}[/tex]
The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].
Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value
Answer:
0.0336
Step-by-step explanation:
the hint says so
According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.
How to find the p-value of a test?
It depends on the test statistic z, as follows.
For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.
The test statistic is z = 1.83, which has a p-value of 0.966.
1 - 0.966 = 0.034.
Hence, the approximate p-value for Fay's test is of 0.034.
You can learn more about p-values at brainly.com/question/13873630
Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
Please helpppppp asap
Answer:
Step-by-step explanation:
If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
Solving systems by elimination.
Answer:
These are the answers :) If you have any questions feel free to ask!
1. (1,3)
2. (6,6)
3. (-1,-2)
4. (6,3)
a lawn mowing company had to mow one third of a mile of grass. To make it quicker they split the amount evenly between 7 workers. What fraction of the mile did each mow?
Answer:
1/21
Step-by-step explanation:
first take a third then divide by seven
Express as a trinomial.
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
When given the following trinomial,
[tex](x+1)(x+1)[/tex]
Distribute, multiply every term in one of the parenthesis by every term in the other,
[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]
Simplify,
[tex]x^2+x+x+1[/tex]
Combine like terms
[tex]x^2+2x+1[/tex]
Answer:
Step-by-step explanation:
Use Foil
f: x * x = x^2
o: x * 1 = x
i: x * 1 = x
l: 1 * 1
x^2 + x + x + 1
x^2 + 2x + 1
Plz help me well mark brainliest if correct.........?
Answer:
The answer is B
Step-by-step explanation:
8 times 12 = 96
2L + 2W = 40
2(8) + 2(12) = 40
because
16 + 24 = 40
Hope this helps!
Find the surface area of a cylinder with a height of 8m and a base diameter of 12m .
Answer: A≈527.79m²
Step-by-step explanation:
HOPE THIS HELPS
A drawer contains 4 blue socks, 8 black socks, and 10 white
socks. If one sock is taken out of the drawer without looking,
find the probability that each of the following will be drawn.
Express each ratio as a fraction in simplest form.
Answer:
7: 2/11
8: 4/11
9: 5/11
10: 6/11
11: 9/11
12: 7/11
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Step-by-step explanation:
The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.
At the null hypothesis, we test that the mean is the specification value of 5.7, that is:
[tex]H_0: \mu = 5.7[/tex]
At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:
[tex]H_a: \mu > 5.7[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
5.7 is tested at the null hypothesis:
This means that [tex]\mu = 5.7[/tex]
The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.
This means that [tex]n = 8, X = 6.2, s = \sqrt{0.49} = 0.7[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}[/tex]
[tex]t = 2.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.
With the help of a calculator, this p-value is 0.0416.
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
can someone pls give me an explanation and answer?
Answer:
x=50
Step-by-step explanation:
It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.
Answer: x=50 degree
Step-by-step explanation: angle in a straight line is equal to 180 degrees.
Given;
25 degrees &
105 degrees.
180– (105+25)
180– 130
= 50degrees
Drag numbers into the blanks to rewrite the square roots.
square root -5 (it doesnt let me put the symbol. whats the answer?
Answer:
Step-by-step explanation:
for a lot of math classes they just tell you "don't take the square root of a negative number" Then when you see this [tex]\sqrt{-5}[/tex] it looks all wrong. But, just think of the two things under the radical as
[tex]\sqrt{-1*5}[/tex]
now, take the -1 out of the square root as " i "
i[tex]\sqrt{5}[/tex]
and if you want to put it into correct complex form
0 + i[tex]\sqrt{5}[/tex]
Is this relation a function?*
{(5, 1),(-1,5),(-5, 1), (1,-5), (5,3)}
A. Function
B. Not a function
Answer:
B. Not a function
Step-by-step explanation:
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
PLSSS ASAP HELP!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x height.
Given:
A parallelogram with base c, height h and other side a.
[tex]a=55.83[/tex] yds
[tex]c=100[/tex] yds
[tex]h=52[/tex] yds
To find:
The area of the parallelogram.
Solution:
The area of a parallelogram is:
[tex]A=base\times height[/tex]
In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:
[tex]A=100\times 52[/tex]
[tex]A=5200[/tex]
Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.
What is 75.4 in expanded form
Answer: 75.4 =
70
+ 5
+ 0.4
Step-by-step explanation:
Hope this helps :)
The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn based upon this scatter chart? a. The residuals are normally distributed. b. The model over predicts the value of the dependent variable for small values and large values of the independent variable. c. The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship. d. The residuals have a constant variance.
Answer: Hello the scatter plot related to your question is missing attached below is the scatter plot
answer : The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )
Step-by-step explanation:
The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship
A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship
A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790
Answer: D. 0.658
Step-by-step explanation:
A randomly selected student would be from either of the high schools so both high schools need to be taken into account.
The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:
= Number of students from both high schools that are satisfied / Total number of students in both high schools
= 79 / 120
= 0.658
Multiply. Round to two decimal places
____ x 14.32 = 554.76
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]_____ x 14.32 = 554.76[/tex]
Let's take '____' as x
[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]
⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74
NOTE:
We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Choose the best definition for the given term:
Domain
Around balloon has a diameter of 7 3/8 inches which of the following is closest to the number of cubic inches of Air can hold it?
Answer:
F
Step-by-step explanation:
It might not be F. I think it is though
