Step-by-step explanation:
Miko’s family drove at a constant speed as they left home and traveled to the restaurant where they stopped for lunch. Does the relationship between hours that past x and the distance traveled y represent a proportional relationship? Explain why or why not?
Food chains and webs typically do not have more than four levels of consumers. Why not?
A. Since only 10% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels
B. All available energy is passed from one level to the next, however there are too many carnivores to share the energy
C. Since only 50% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels.
Answer:
I think the answer is
(B). All available energy is passed from one level to the next, however there are too many carnivores to share the energy sorry if i am wrong
Step-by-step explanation:
Jayin borrowed $1,525 for a new stereo system. He made 10 monthly payments to repay the loan. He paid $225 interest. What is his simple interest rate?
Answer:
17.7%
Step-by-step explanation:
Write the denominator for each of the decimal numbers. (each answer, 1 point)
.3078542
.0372
.26319
Answer:
.3078542 -----> 5,000,000
.0372 ------> 2,500
.26319 ------> 100,000
Step-by-step explanation:
[tex].3078542 = \frac{3078542}{10000000} = \frac{1539271}{5000000}\\\\\\.0372 = \frac{372}{10000} = \frac{186}{5000} = \frac{93}{2500}\\\\\\\\.26319 = \frac{26319}{100000} \\[/tex]
You are saving money for a new phone. You must have at least $800 saved up in
order to be able to purchase the newest IPhone. So far you have saved $215 and
earn $15 per hour working at your part time job. Write and solve an inequality to
determine the least amount of hours you must work in order to reach your goal.
Let number of hours needed to work = x
Multiply number of hours by rate: 15x
Add what you already have saved:
15x + 215
This needs to equal at least 800:
The equation becomes:
15x + 215 >= 800
Solve for x:
15x + 215 >= 800
Subtract 215 from both sides
15x >= 585
Divide both sides by 15
X >= 39
They have to work at least 39 hours.
The court has two stone hoops. each is 15 feet high on the wall. A player is 6 feet away from a hoop. what's the diagonal distance from his feet to the hoop.
Answer:
17 feet
Step-by-step explanation:
a² + b² = c²
a² + 6² = 15²
a² + 36 = 225
a² = 189
a = 17
After 6 months what would be the simple interest earned on an investment of $5,000 be at 6%.
Answer:
$150
Step-by-step explanation:
I = prt
I = 5000(.06)(.5)
I = 150
Given g(x) = -2 – 5, find g(1).
Answer:
-7
Step-by-step explanation:
There's no "x" in the equation, so there's nothing to plug in. I don't know if you just forgot to type it, but for all numbers, it's gonna equal -7. Even if there was an x, it would still equal -7.
Using the graphing function on your calculator, what is the solution to the
system of equations show below?
Y+ 2x = 5
4y+ 5x=14
A. x=2 y=1
B. x= 1, y = 2
O C. More than 1 solution
O D. No solution
Answer:
x = 2 y = 1
Step-by-step explanation:
Given the system of equation
Y+ 2x = 5 ...1
4y+ 5x=14 ,,,,2
From 1;
y =5 - 2x ....3
Substitute 3 into 2
4(5-2x) + 5x = 14
20 - 8x + 5x = 14
20 - 3x = 14
-3x = 14-20
-3x = -6
x = 6/3
x = 2
Since y = 5-2x
y = 5-2(2)
y = 5-4
y = 1
Hence the required solution is (2,1)
conical tank has height 10 ft and radius 8 ft. The tank is buried vertex-down so that the top is 6 ftunderground. The tank is filled with kerosene (of density 51.2 lb/ft3).(a) Write down an integral for the total fluid force on the side of the tank.(b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work requiredto pump the oil.
Answer:
a. F = 26214.4π lb/ft-s²∫₋₁₀⁰(y + 10)dy
b. W = 104857.6π lb-ft/s²∫₋₁₀⁰(y + 10).dy
Step-by-step explanation:
(a) Write down an integral for the total fluid force on the side of the tank.
We know force, F = ∫PdA where P = pressure and dA = differential area element in tank surface.
Let the position of the bottom of the tank be y = -h where h = height of tank and y = 0 be the top of the tank. So, the height of any point y of the tank H is y - (-h) = y + h = y + 10
The pressure P = ρgH where ρ = density of oil in tank = 51.2 lb/ft³ and g = acceleration due to gravity = 32 ft/s²
P = ρgH
P = ρg(y + 10)
The differential area element of a point on the side of the tank is dA = 2πrdy
So, F = ∫PdA
F = ∫ρg(y + 10)2πrdy
we integrate y from y = -h = -10 to y = 0
So, F = ∫₋₁₀⁰ρg(y + 10)2πrdy
F = ∫₋₁₀⁰2πrρg(y + 10)dy
F = ∫₋₁₀⁰2π(8 ft)(51.2 lb/ft³)(32 ft/s²)(y + 10)dy
F = ∫₋₁₀⁰26214.4π lb/ft-s²(y + 10)dy
F = 26214.4π lb/ft-s²∫₋₁₀⁰(y + 10)dy
(b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work required to pump the oil.
The work done W = ∫F.dy
W = ∫F.dy
F = ρgV where V = volume of tank = πr²H = πr²(y + 10)
F = ρgπr²(y + 10)
So, W = ∫F.dy
W = ∫ρgπr²(y + 10).dy
Since the water is pumped to ground level, we integrate y from y = -h = -10 to y = 0
W = ∫₋₁₀⁰ρgπr²(y + 10).dy
W = ∫₋₁₀⁰π(51.2 lb/ft³)(32 ft/s²)(8 ft)²(y + 10).dy
W = ∫₋₁₀⁰104857.6π lb-ft/s²(y + 10).dy
W = 104857.6π lb-ft/s²∫₋₁₀⁰(y + 10).dy
What is area of this
Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a = [tex]\sqrt{24}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]
2) b² + 5² = 6²
b² = 36-25
b = [tex]\sqrt{11}[/tex]
Base = 2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex]
A = 1/2 x 5· (2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex])
A = 2.5 · (2[tex]\sqrt{6}[/tex] + [tex]\sqrt{11}[/tex])
A = 2.5(8.2)
A = 20.5
Help plz:)))I’ll mark u Brainliest
Answer:
5.9
Step-by-step explanation:
sin 18° = [tex]\frac{x}{19}[/tex]
[tex]\frac{31}{100} = \frac{x}{19}[/tex]
100x = 589
x = 5.89
34,280+d+1000>36,480
Answer:
d=12
Step-by-step explanation:
rainliest for correct person
Factor the polynomial:4x^4y^2-16x^4y^2+8x^2y
Answer:
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
Step-by-step explanation:
Given
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Required
Factor
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Factor out [tex]4x^2[/tex]
[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]
Factour out y
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
7s-(2t+3s)-(5s-8t)please also explain how u got the ans
Answer:
-s+6t
Step-by-step explanation:
7s-(2t+3s)-(5s-8t)
7s-2t-3s-5s+8t
7s-3s-5s-2t+8t
4s-5s+6t
-s+6t
Which expression is not equal to 30
Answer:
(2 * 60 / 30) * (24 + 2) is not equal to 30
Step-by-step explanation:
1. (9 * 10) / (4 + 1 ) + 12 = 30
2. 2 + (30 - 8 / 4) = 30
3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]
4. (120 / 20) * (2 + 3) = 30
Therefore, the third expression is not equal to 30.
Thenks and mark me brainliest :)
Please answer as soon as possible. Appreciate answers.
Answer:
[tex](x,y) = (1.5,7.5)[/tex]
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
[tex]y =12 - 3x[/tex]
Required
The point of intersection
First, plot both equations on a grid (see attachment)
From the attached plot, we have the point of intersection to be:
[tex]x = 1.5[/tex]
[tex]y = 7.5[/tex]
i.e.
[tex](x,y) = (1.5,7.5)[/tex]
I need the answer fast Pls HELP choose one then more chosises so you need to choose more chosies
Answer:
c
Step-by-step explanation:
there
Are the two triangles similar? Explain your answer.
Answer:
i think the triangles are similiar because its the same shape. It also has the same degrees but different letters !! Hope this helps.
Answer:
yes it is, but the only difference is the size
Step-by-step explanation:
The ratio of blue cars to red cars in a garage is 7:6. If there are
28 blue cars in the garage then how many red cars must be in the garage?
Answer:
24 Red Cars
Step-by-step explanation:
Step 1 : Create a ratio
7:6 = 28:x
Step 2 : Find the relation between the two.
28/7 = 4
Step 3 : Multiply 6 by 4 to find x
6 * 4 = 24
Edit : Reread question
Answer:
24
Step-by-step explanation:
7/6=28/x
7x=28*6
7x=168 ...both divide by 7
x=24
red cars in garage 24
A gaming company would like to test the hypothesis that the average age of someone who uses gaming console A is different from the average age of someone who uses gaming console B. A random sample of 36 gaming console A users had an average age of 34.2 years while a random sample of 30 gaming console B users had an average age of 32.7 years. Assume that the population standard deviation for the age of gaming console A and gaming console B users is 3.9 and 4.0 years, respectively. This company would like to set α = 0.10.
a) What is the critical value for this hypothesis test?
a) 2.33
b) 1.28
c) 1.645
d) 1.96
b) What is the 90% confidence interval for the difference in population means?
a) (-0.11, 3.11)
b) (-1.70, 4.70)
c) (0.65, 2.35)
d) (1.18, 1.82)
Answer:
Question a:
c) 1.645
Question b:
a) (-0.11, 3.11)
Step-by-step explanation:
Before answering the question, we need to understand the central limit theorem and subtraction between normal variables:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of 36 gaming console A users had an average age of 34.2 years, with a standard deviation of 3.9 years.
This means that [tex]\mu_A = 34.2, s_A = \frac{3.9}{\sqrt{36}} = 0.65[/tex]
A random sample of 30 gaming console B users had an average age of 32.7 years, with a standard deviation of 4 years.
This means that [tex]\mu_B = 32.7, s_B = \frac{4}{\sqrt{30}} = 0.73[/tex]
Distribution of the difference in population means:
[tex]\mu = \mu_A - \mu_B = 34.2 - 32.7 = 1.5[/tex]
[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{0.65^2+0.73^2} = 0.9774[/tex]
a) What is the critical value for this hypothesis test?
We test if the means are different, which means that we have a two-tailed test.
We have the standard deviations for the population, which means that we have a Z test.
Since it is a two-tailed Z-test, the critical value is Z with a p-value of 1 - (0.1/2) = 1 - 0.05 = 0.95, so, looking at the z-table, Z = 1.645, which is option C.
b) What is the 90% confidence interval for the difference in population means?
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs[/tex]
[tex]M = 1.645*0.9774 = 1.61[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1.5 - 1.61 = -0.11
The upper end of the interval is the sample mean added to M. So it is 1.5 + 1.61 = 3.11
The correct answer is given by option A.
HELP........................................
Ross has a board that is 12 feet long. He needs to cut the board into equal pieces that are 1/2 feet long. How many pieces can she cutt
Answer:
13
Step-by-step explanation:
9514 1404 393
Answer:
24
Step-by-step explanation:
Assuming that making the cut does not change the total length of the board, each foot can be divided into two pieces that are 1/2 foot. The number of pieces will be ...
(12 ft)/(1/2 ft/piece) = (12×2) pieces = 24 pieces
Ross can make 24 pieces that are 1/2 ft long from her board.
Which equation below describes the hanger?
12 = y - 2
12 = y/2
12 = y + 2
12 = 2 * y
9514 1404 393
Answer:
D. 12 = 2 * y
Step-by-step explanation:
On one side is 12.
On the other side is y + y = 2y.
This sort of "hanger" represents the equation that sets one side equal to the other:
12 = 2y
which of the following represents an equation for the perimeter of this rectangle?
Answer:
C
Step-by-step explanation:
Perimeter : total length of sides
Perimeter of the rectangle
= r + s + r + s
=2r + 2s
Answer:
C - 2r + 2s
Step-by-step explanation:
l = Length
b = Breadth
Perimeter of a rectangle = 2 x ( l + b )
Use distributive property and it will be-
( 2 x l ) x ( 2 x b )
Hope this helped!! <33
Your pool is 80 ft long by 40 ft wide and the depth is 3ft to 8ft what is the pool volume?
Answer:
Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the. 3.14 x 25 ft x 3 ft x 7.5 = 1766.25 gallons
Step-by-step explanation:
What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?
please help):
Estimate the product of 408 - 52 by first rounding each number to the nearest ten.
A: 20,000
B: 460
C: 450
D: 20, 500
Answer: 20500
Step-by-step explanation:
Rounding 408 to the nearest ten will give 410. Since it is above 4, we'll add 1 to the 0 in the tens value and this will be 410.
Rounding 52 to nearest ten is 50.
Therefore, we'll multiply 410 by 50. This will be:
= 410 × 50
= 20500
Therefore, the correct option is D.
A.60
B.120
C.240
D.360
Answer:
b i think brainlest me plz
Step-by-step explanation:
Amanda was 48 inches tall. She grew n inches last year and is now 56.5 inches. Which expression represents the number of inches Amanda grew?
56.5 + n = 48
48 + n = 56.5
48 - n = 56.5
48n = 56.5
Answer:
It should be 48+n=56.5
Step-by-step explanation:
Answer: Choice B
48 + n = 56.5
============================================================
Work Shown:
48 = height last year, in inches
n = number of inches she grew last year
48+n = current height right now, in inches
48+n = 56.5 since her current height is 56.5 inches
Side notes:
48 inches = 4 feet56.5 inches = 4.71 feet (approximate) = 4 ft, 8.5 inches (exact)To convert from inches to feet, you divide by 12. The equation in bold solves to n = 8.5, meaning she grew 8.5 inches over the last year.