The lines graphed below show the amounts of water in two tanks as they
were being filed over time.

Which tank shows a proportional relationship between the amount of
water, in gallons, and the time, in minutes?

Answer:

its B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since their sum is less the sign will be: sum < $191

This eliminates A and D

It's not C because their money is additive, not subtractive

So it's B, $93+x < $191

Answer:

5√(7)m  or 13.23m

Step-by-step explanation:

use pythagorean theorem

a²+b²=c²

c=20

b=15

a²+225=400

a²=175

√(175) = 5√(7) = 13.23

The height of the kite is 13.23 meters.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A boy is flying a kite.

The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters.

Assuming there is no slack in the string,

then the height of the kite is,

= √(20)² - (15)²

= 13.23 feet.

Therefore, the height is 13.23 meters.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]

And for the y-coordinate, we have:

[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]

The car's displacement in vector form is:

[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        

I'll do the first three problems (numbers 15 through 17) to get you started.

===================================================

Problem 15

--------------------

Explanation:

We cut the diameter in half to get the radius. We can think of cutting the 14 in half to get 7, ignoring the pi while we cut in half. Then after we do that, we tack the pi back on.

In short, 14pi cuts in half to 7pi.

Then we could see that 7*pi = 7*3.14 = 21.98

The radius is about 21.98 inches.

===================================================

Problem 16

--------------------

Explanation:

We'll plug r = 5 into the area of a circle formula.

A = pi*r^2

A = 3.14*5^2

A = 78.5 square yards approximately

===================================================

Problem 17

--------------------

Explanation:

We'll use the formula

C = pi*d

which is the formula that ties together the circumference C with the diameter d.

Plug in the given circumference C = 12pi and isolate d

C = pi*d

12pi = pi*d

12 = d .... divided both sides by pi, which cancels out

d = 12

The diameter is 12. Your step by step picture doesn't have to be this wordy, but I'm doing this to help show that the circumference like 12pi simply has the "pi" part erased to get the diameter. This allows a reader to quickly spot the diameter if given the circumference in this form. And it also allows to go from the diameter to the exact circumference without any calculator involved.

Once you get the diameter, you cut it in half to get the radius. Half of 12 is 6, so the radius is 6 cm.

------------

You could also have this as your steps

C = 2*pi*r

12pi = 2*pi*r

12 = 2r

2r = 12

r = 12/2

r = 6

which is an alternative way to see that the radius is 6 cm.

Answer:

1/16m per minute

Step-by-step explanation:

If Milan fills the aquarium to a depth of 3/8 in 6 minutes then just divide 3/8 by 6 to find how much she fills in 1 minute

Answer:

f(x)= (1/2)x-3

Step-by-step explanation:

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:

8 : 2.5 / divide both by 2.5 to get:

3.2 : 1 that's my answer right?

The correct form of the ratio of cube root of 512: reciprocal of 0.4 is 3.2:1

It is a number y such that y to the power 3 is equal to x.

We have to find the ratio of cube root of 512 and the reciprocal of 0.4  which will be as follows

cube root of 512:  reciprocal of 0.4

8: 1/0.4

8=2.5

dividing by 2.5

3.2 : 1

Hence the ratio will be 3.2 :1 of cube root of 512 and the reciprocal of 0.4

Learn more about cube root at https://brainly.com/question/310302

#SPJ2

Answer:

Step-by-step explanation:

Answer:

x³ + 2x² -3x +6

Step-by-step explanation:

We need to find the polynomial whose roots are ,

Say of we have zeroes as , α , β and γ , then the polynomial is ,

=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]

=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]

=> p(x) = k[ (x+2)(x² - 3)]

=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]

=> p(x) = k[ x³ - 3x + 2x² - 6 ]

=> p(x) = k[ x³ + 2x² - 3x - 6 ]

Answer:

3y²+4y²-4y-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ap classroom

Answer:

The answer is simply 49.

Step-by-step explanation:

196 ÷ 4 is why because their are 4 sides on a square if you divide it by 4 you get the answer 49. You're probably in like 3rd grade or smth this is so easy.

Answer:

10×3=30 so the area is 30 square feet

Answer:30

Step-by-step explanation:3x10=30 brainlyest plz plz I need it for my rank

Answer:

6/5 cm

Step-by-step explanation:

Double the radius

2*3/5=6/5

Answer:

1 1/5 or 6/5

Step-by-step explanation:

3/5 (2) =  6/5 or 1 1/5

Answer:

D. No solution

Step-by-step explanation:

Given

[tex]y = 3x + 7[/tex]

[tex]y = 3x + 2[/tex]

Required

The number of solutions

We have:

[tex]y = 3x + 7[/tex] and [tex]y = 3x + 2[/tex]

Equate both i.e.

[tex]y = y[/tex]

So, we have:

[tex]3x + 7 = 3x + 2[/tex]

Subtract 3x from both sides

[tex]3x -3x + 7 = 3x -3x + 2[/tex]

[tex]7 = 2[/tex]

The above is false

i.e. [tex]7 \ne 2[/tex]

Hence, the system has no solution

Answer:

17=x

Step-by-step explanation:

Put in y and minus 4

Answer:

b

Step-by-step explanation:

Answer:

c(10) is 25 which means there is a balance of $25 in cafe account after 10 days

Step-by-step explanation:

c(10) = 50 - 2.5(10)

c(10) = 50 - 25 which is 25

Answer:

A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.

Answer:

the = 180

Step-by-step explanation:

Answer:

proof:

Triangle is isosceles, so angle 4 and 5 are equal

Angle 5 + Angle 1 = 180°

Angle 4+ Angle 1 = 180°

Step-by-step explanation:

<4 ≅ <5. <5 + <1 = 180° <4 + <1 are supplementary

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a. the final cost will be $12,960

b. your monthly payment will be $216

Step-by-step explanation:

a. if the sales tax is 8%, that means that you will need to pay 8 cents for every dollar of the original cost. you can find the total cost by multiplying 1.08 (108%) by 12,000 in order to get the original price PLUS the sales tax added on. Thus, leaving you with $12,960 as the final price.

b. to find the monthly payment, you will multiply the number of years the payment is spread out over (5) by the number of months in a year (12) in order to get 60 months in total. Then divide the $12,960 by 60 in order to get a final monthly payment of $216.

Answer:-12 and -25

Step-by-step explanation:

Answer: 3 and -12

Step-by-step explanation:

I used this

www.calculatorsoup.com/calculators/math/diamond-problem-solver.php

Answer:

$23,219.72

Step-by-step explanation:

ab^x

a: initial value

b: value remaining after depreciation per year (in percentage)

x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:

About $23219.72

Answer:

[tex]6.7159[/tex]

Step-by-step explanation:

[tex]\mu=48.8\\n=35\\\bar{x}=53.8\\\sigma=4.4\\\alpha=1\%=0.01[/tex]

Null and alternative hypothesis :

[tex]H_0:\mu=48.8\\H_a:\mu>48.8[/tex]

Test statistic,

[tex]t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]\Rightarrow t=\frac{53.8-48.8}{\frac{4.4}{\sqrt{35}}}[/tex]

[tex]\Rightarrow t=\frac{5\times 5.91}{4.4}[/tex]

[tex]\Rightarrow t=6.715[/tex]

Test statistic [tex]t=6.715[/tex]

[tex]P-[/tex]value [tex]=P(t>6.715)[/tex]

[tex]P-[/tex] value [tex]=0.0001[/tex]  by the p- table

Significance level [tex]0.01[/tex]

         [tex]p-[/tex]value [tex]<0.01[/tex]

  We reject [tex]H_0[/tex]