Complete question :
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
Answer:
k = 1/8
y = 1 / 200
Step-by-step explanation:
Let the constant of variation = k
y varies inversely as the square of x
y α 1/x²
y = k * 1/x²
y = k/x²
y = 1/8 ; x = 1
1/8 = k/1²
1/8 = k
K = 1/8
y ; when x = 5
y = (1/8 ÷ 5²)
y = 1/8 * 1/5²
y = 1/8 * 1/25
y = 1 / 200
Answer:
C
Step-by-step explanation:
Edge 22
An emergency fund is defined as a savings account that has a balance equal to at least two months' living
expenses. An article in a financial magazine claims that 80% of American adults do not have an emergency fund.
To investigate this claim, a financial advisor selects a random sample of 150 American adults and finds that 112 do
not have an emergency fund. The financial advisor would like to know if the data provide convincing evidence that
the true proportion of Americans who do not have an emergency fund is less than 80%. What are the appropriate
hypotheses for this test?
Answer:
a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund
The appropriate hypotheses for this test are:
H0: p ≥ 0.80
Ha: p < 0.80
We have,
The appropriate hypotheses for this test are:
Null Hypothesis (H0):
The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.
Alternative Hypothesis (Ha):
The true proportion of Americans who do not have an emergency fund is less than 80%.
Symbolically, the hypotheses can be represented as:
H0: p ≥ 0.80
Ha: p < 0.80
Where p is the true proportion of American adults who do not have an emergency fund.
To determine whether the data provide convincing evidence against the null hypothesis,
We can conduct a hypothesis test using a significance level (alpha) of 0.05.
If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.
Thus,
H0: p ≥ 0.80
Ha: p < 0.80 are the appropriate hypotheses for this test.
Learn more about hypotheses here:
https://brainly.com/question/28331914
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I’m on a time limit and I really have no clue what this is. Please help!!!!
Answer:
2/8
Step-by-step explanation:
I think, I am not sure
What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?
Answer:
the chances of rolling a 3 are 1/6
the changes of not doing it is 5/6
CAN SOMEONE PLEASE HELP
Answer:
The first one.
Step-by-step explanation:
The symbol that you are comparing the numbers with is equal two or greater than and you have to be 48 inches or taller.
I need help !!asap......
Answer:
65 degrees
Step-by-step explanation:
I recently answered a question in detail that was similar to this one. Feel free to look at my answered questions for it.
For this one, the easiest way to think about it is this. The line on which both angle 4 and angle 1 sit is a straight line, that makes them supplementary angles which is just a fancy word that means if you add them together they equal 180.
(angle 4) + (angle 1) = 180
And if (angle 1) = 115, then that means
(angle 4) = 180 - 115
(angle 4) = 65
What is the value of v?
The volume of the cube is 4,913 cubic millimeters. In order to find out the value of V, we must find the cube root of 4913, which is 17 = V.
V = 17
Jamie got 4 out of 10 questions correct on his test. What percent of his
test did he get correct? *
Your answer
Answer:
40%
Step-by-step explanation:
Answer:
Jamie got 40% of his test correct.
Step-by-step explanation:
4 out of 10 = [tex]\frac{4}{10}[/tex]
= [tex]\frac{40}{100}[/tex]
= 40%
hope this helps :)
Help please. No links
Answer:
C
Step-by-step explanation:
The question is asking which one is equal to the absolut value of 12. The absolute value of -12 equals 12, so it is the same as the absolute value of 12.
Overclocked Game Design is developing a new video game and wants to determine how large the rectangular map that constitutes the game world will be. They want the width of the map to be x miles and the length to be x+4 miles. Write an equation to represent the area A of the map.
- Select the equation that represents the area of the map in terms of x.
A)
A=x2
B)
A=2x+4
C)
A=4x2
D)
A=x(x+4)
Answer:
D)
A = x(x + 4)
Step-by-step explanation:
Area of a rectangular map = width × length
Length of the rectangular map = (x + 4) miles
Width of the rectangular map = x miles
Area of a rectangular map = width × length
= x(x + 4)
= x² + 4x
D)
A = x(x + 4)
please help- how to find volume of a cilinder the diameter is 4cm and the height is 3cm
Answer:
V=π(d
2)2h=π·(4
2)2·3≈37.69911cm³
Step-by-step explanation:
Aeryn spent 5 days building a
brick wall that had 100 bricks in
it. She got better each day and
managed to lay 4 more bricks
than the previous. How many
bricks did she lay her first day?
A small school bus holds 26 students. A larger school bus holds 150% as many students as the small school bus. How many students does the larger school bus hold?
Please help :/
Answer:
39
Step-by-step explanation:
To solve this problem we can use a proportion:
150 : 100 = x : 26
x = (26*150)/100 = 39
Answer:
39
Step-by-step explanation:
150% of 26 is 39
on a calculator do 26 times 150% and it equally 39
another way to do it is do 26 divided by 2 which equals 13, then add 13 to 26 and you get 39
hey can you help me fast!!
Answer:
should be the 2nd.............
Determine the dot product ⟨4,−5⟩⋅⟨3,−2⟩
Answer: 22 the answer is 22 but id.k if thats what ur looking for
Step-by-step explanation:
Liam plays guitar in a band called Cool. The
band is paid $421.74 for every performance. If
Cool averages 3.5 shows per month, how much
money will the band earn in 3 months?
Answer: $4,428.27
Step-by-step explanation:
First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.
3.5 x 3 = 10.5 shows
Now multiply the amount the band makes in one show by the number of shows.
$421.74 x 10.5 shows = $4,428.27 over the course of three months.
Hope this helps!
Which number line represents the solutions to |x + 4| = 2?
Answer:
x=-2, -6 > pick the first answer choice !!!!!
Step-by-step explanation:
Let's solve your equation step-by-step.
|x+4|=2
Solve Absolute Value.
|x+4|=2
We know either x+4=2or x+4=−2
x+4=2 (Possibility 1)
x+4−4=2−4 (Subtract 4 from both sides)
x=−2
x+4=−2 (Possibility 2)
x+4−4=−2−4 (Subtract 4 from both sides)
x=−6
Answer:
x=−2 or x=−6
Answered by the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!! BAHAHAHAHAHA
correct this for brainiest:):):):):):)
Answer:
56.........................
Can someone help me pls
all of them because it is not a straight line
Mr. Pennington had a board 2 1/4 feet long. He
used 21 inches. How much of the board did he
have left?
Please help asap. No links for a answer or I will report you
8th Grade
Answer:
S
Step-by-step explanation:
Please answer this is the last question :(
Answer:
A & C
Step-by-step explanation:
Find the surface area of the cone. Round your answer to the nearest tenth!!
GIVING BRAINLIEST
Formula:
Shape = Cone
Radius (R) = 1
Height (H) = 4
Formula of surface area (cone) = A=πr(r+h2+r2)
How to find a surface area of a cone?
Using the formula of the cone (A=πrl+πr2) We add the formula so the radius and the height (l=r2+h2). Since we are solving for a our formula will end up looking like (A=πr(r+h2+r2)=π·1·(1+42+12)≈16.09471). Which will equal our answer which is 16.09471. Round to the nearest tenth will be 16.09.
Answer: 16.09
Hope this helps.
Answer:
16.09
Step-by-step explanation:
16.09
Nolan has some nickels and some dimes he has no more than 19 coins worth no less than $1.30 combined if Nolan has 5 nickels determine all possible values for the number of dimes that he could have
Answer:
10.5 ≤ y ≤ 14
Step-by-step explanation:
A nickel is worth 5 pennies. Changing over to dollars, it becomes
5/100 = $0.05
A dime is worth dime. Changing over to dollars, it becomes
10/100 = $0.1
Allow x to address the number if nickels.
Allow y to address the quantity of dimes.
He has close to 19 coins. This implies that
x + y ≤ 19
He has no under $1.30 joined. This implies that
0.05x + 0.1y ≥ 1.3
On the off chance that Nolan has 5 nickels, subbing x = 5 into x + y ≤ 19, it becomes
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
subbing x = 5 into 0.05x + 0.1y ≥ 1.3, it becomes
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 1.05/0.1
y ≥ 10.5
Along these lines, all potential qualities for the quantity of dimes that he could have would be
10.5 ≤ y ≤ 14
Help me please :( I will give u 10 points :)
Answer:
See below & graph.
Step-by-step explanation:
Domain: All real numbers.
Range: y <= 7
Axis of symmetry: x = -b/2a = 1
Vertex: (1, 7), label it on the graph.
i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6
Answer: i think its alternate interior
find hcf of 3x²+7x-6 and 2x²+7x+3
Given:
The expression are:
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
To find:
The HCF of the given expression.
Solution:
We have,
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
The factor form of given expressions are:
[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]
[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]
[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]
Similarly,
[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]
[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]
[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]
From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.
Therefore, the HCF of given expressions is [tex](x+3)[/tex].
Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?
Answer:
set X/Y = {0,23}
Step-by-step explanation:
We are given the sets;
X = {0, 12, 23}
Y = {3, 12, 15}
Now, we want to find the set X/Y.
The set X/Y means the set that has numbers which are only in set X but not in set Y.
The numbers from inspection of both sets are 0 and 23.
Thus;
set X/Y = {0,23}
Which is the largest interval over which the function in the table is increasing?
Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?
Answer:
Propiedad distributiva de la multiplicación sobre la suma
Step-by-step explanation:
Spanish
Propiedad distributiva de la multiplicación sobre la suma
2 × (4 + 7)
Aquí vemos que el número 2 se multiplica por 4 y 7
2 se distribuye a 4 y 7
= 2 × 4 + 2 × 7
Después de la multiplicación se suman ambos
= 8 + 14 = 22
Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.
English
No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?
Distributive property of multiplication over addition
2 × (4 + 7)
Here we see that the number 2 is multiplied with both 4 and 7
2 is distributed to both 4 and 7
= 2 × 4 + 2 × 7
After multiplication both are added
= 8 + 14 = 22
This property is called distributive property of multiplication over addition.
helpoooooo please hhhb
Answer:
Step-by-step explanation:
that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.
setting up directions over the graph (like a compass), the vector would be between East and South
using the diagram below it would most likly be south of east and 350 degrees