What is the relationship between the changes in the radii and the volume?

Answer:

She poured 3 pints

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.[/tex]

sorry, put the wrong answer and cant delete

Answer:

4/15 distance

Step-by-step explanation:

We can use ratio's to solve this, putting distance over time

1/5 distance          x distance

----------------   = ----------------------

3/4 hour                 1 hour

Using cross products

1/5 * 1 = 3/4 x

1/5 = 3/4 x

Multiply by 4/3 to isolate x

1/5 * 4/3 = 4/3 * 3/4x

4/15 = x

The train can travel 4/15 of the distance in 1 hour

Answer:

$11535.60 will be in his account when he is 40 years old

Step-by-step explanation:

Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old

Time period is from 18 years to 40 years

t= 40 - 18 = 22

For compounding continuously we use formula

[tex]A= Pe^{rt}[/tex]

P = initial amount deposited = 5000

r= rate of interest = 3.8% = 0.038

t= time period = 22 years

now plug in all the values and find out A final amount

[tex]A= 5000e^{0.038*22}[/tex]

[tex]A= 5000e^{0.836}[/tex]

A= 11535.60

Answer:

SO if f(x)= |x-5|+3 then F(2)= 6

Step-by-step explanation:

These signs |  | mean that it is an absolute value equation. SO that means any negative will automatically change to positive values and positive values will stay at positive values. You are supposed to substitute 2 in for x and if you do 2-5 then that is negative 3 but it changes to positive 3 and add three and then f(2)= 6

The range of a function is the set of y-values the function contains. Thus, in this case, the range would be the set of values under the y column, as this represents the y-values the function produces.

We see "2, 3, 4, 2" under the y column. Since we are establishing a set of values, we are going include all the values under the column, which includes 2, 3, and 4. We are not going to repeat the second 2 because it isn't necessary, as 2 is already in the set thus.

Thus, the final set for the range of the function is {2, 3, 4}, or Choice A.

Answer:

y = -8

Step-by-step explanation:

The domain is the x values so x=-3

y = x-5

Substituting x=-3

y = -3-5

y=-8

Step-by-step explanation:

[tex]\sf \longmapsto{y = - 5 + - 3} \\ \\ \sf \longmapsto{y = - 5 + - 3 = \red{ - 8}} \\ \\ \sf \longmapsto \boxed{ \sf\: y = - 8}[/tex]

Answer:

The correct answer is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Step-by-step explanation:

We are given the following quadratic equation:

[tex]-3x^2-4x-4 = 0[/tex]

Since, it cannot be factorized so we will use the quadratic formula:

x = [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Substituting in the values of a, b and c in the above formula to get:

x = [tex]\frac{-(-4)+-\sqrt{(-4)^2}-4(-3)(-4) }{2(-3)}[/tex]

x = [tex]-\frac{2}{3} +i \frac{2\sqrt{2} }{3}[/tex], x = [tex]-\frac{2}{3} -i \frac{2\sqrt{2} }{3}[/tex]

Therefore, the correct answer option is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

[tex]y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}[/tex]

Final answer:

The equation given to calculate the distance between the trains is D = |262.5 - 120T|. To find the values of T for which D = 50, substitute 50 for D in the equation and solve for T. By solving the equations, we find that T is approximately 1.8 and 2.6.

Explanation:

The equation given to calculate the distance between the trains is D = |262.5 - 120T|, where T is the time after Train B departs. To find the values of T for which D = 50, substitute 50 for D in the equation and solve for T.

50 = |262.5 - 120T|

To remove the absolute value, we can split the equation into two cases:

Solving these equations will give us the values of T for which D = 50.

By solving both equations, we find that T is approximately 1.8 and 2.6, so the answer is A) 1.8 and 2.6.

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer:  158

Kaylee is using the formula for the surface area of a rectangular prism. She calculates it as 2(5×3) + 2(5×8) + 2(3×8), which adds up to 158 square inches, representing the total surface area of the prism.

Kaylee is calculating the surface area of a rectangular prism using a mathematical formula. The formula comprises three terms, each representing the area of a pair of opposite faces. Let's break down the calculation:

When Kaylee calculates these areas and adds them together, she gets:

2(5×3) + 2(5×8) + 2(3×8) = 2(15) + 2(40) + 2(24) = 30 + 80 + 48 = 158 square inches.

Thus, the total surface area of the rectangular prism is 158 square inches.

Answer:

Sometimes

Step-by-step explanation:

When you deal with a system of equations, there may be no solution; there may be one solution; there any positive integer number of solutions; there may be an infinite number of solutions.

The answer is : sometimes

Answer:

sometimes, I got it right on the quiz I just took :)

Step-by-step explanation:

Answer:

(-0.8)×4=(-3.2)

(-3.2)×4=(-12.8)

(-12.8)×4=(-51.2)

(-51.2)×4=(-204.8)

anser is -204.8

Step-by-step explanation:

When adding like terms, they simply add together:

6y + 3y = 9y

The rule of adding two powers are as follows:

[tex]x^{a} + x^{b} = x^{a+b}[/tex]

So:

[tex]y^{4}  + y^{4} = y^{4 + 4} = y^{8}[/tex]

So 6y⁴ + 3y⁴ = 9y⁸

Answer:

Moira's solution is..... incorrect

6y4+3y4 is the same as...... (6*y^4) + (3*y^4)

9y8 is the same as...... 9y*y*y*y*y*y*y*y

6y4+3y4 simplifies to..... 9y^4

Answer:

option A

-2x + 4y = 4

-3x + 6y = 6

Step-by-step explanation:

In option A, if the student multiply the first equation by 3 and the second equation by -2, then the equations become

-6x+12y = 12 and

6x-12y =-12

If she adds both equations, she will get 0 = 0

This means that the system has infinite number of solutions.

Hence, the student could have started with equations -2x + 4y = 4 and -3x + 6y = 6.

Answer:

A motor running at 75 revolutions per second.

Step-by-step explanation:

Given statement: A motor running at 4500 RPM, revolutions per minute.

⇒ In one minute , a motor running at 4500 revolutions.

Use conversion:

[tex]1 min = 60 sec[/tex]

We have to calculate how many revolutions per second.

in 60 sec , a motor running at 4500 revolutions

then,

in 1 sec , a motor running at [tex]\frac{4500}{60} = 75[/tex] revolutions.

Therefore, a motor running at 75 RPS, revolution per second.

Answer:

Motor run in 1 second = 75 revolution.

Step-by-step explanation:

Given  : A motor running at 4500 RPM, revolutions per minute,

To find : how many revolutions per second.

Solution : We have given

Motor run in minute = 4500 revolution.

1 minute = 60 second .

Then  ,

Motor run in 60 second  = 4500 revolution.

Motor run in 1 second = [tex]\frac{4500}{60}[/tex] revolution.

Motor run in 1 second = [tex]\frac{450}{6}[/tex] revolution.

Motor run in 1 second = 75 revolution.

Therefore, Motor run in 1 second = 75 revolution.

8/6= 1 1/3

48/28= 1 4/7

7/9 is in simplest form

Answer:

The scale factor used was 1/2

hope this helped

Step-by-step explanation:

[tex]\frac{2}{7}y + 5 = -9\ /\cdot7\\2y+35=-63\\2y=-63-35\\2y=-98\ /:2\\y=-49\\ \\ \\\frac{2}{7}\cdot(-49)+5=-14+5=-9[/tex]

Answer: Variant A

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

(3,-1) and (4,2)

find the slope y2-y1 over x2-x1

so 2 and -1 is 2+1 = 3 and

4-3 = 1

so 3/1 = 3 so it is c

Answer: Kate expression: 2(50-t)

2 : represents twice,

50 : represents Initial number of tickets Kate has,

t : The lost tickets

50-t : represents Number of ticket Kate has After loosing t tickets

Jack expression: 100 - 2t

100 : Twice of initial ticket Kate has,

t :  The lost tickets

2t : represents twice of the lost tickets,

100-2t : represents Final number of ticket Kate has.

Step-by-step explanation:

Since, According to the question,

Initially Kate has 50 tickets.

She lost tickets = t

And, after losing t ticket she has tickets = 50 - t

But, His father doubled the amount, Thus she has final tickets = 2(50-t)= 2×50 -2× t = 100 - 2t  

Final answer:

Kate's expression, 2(50−t), represents the number of tickets she has now by doubling the tickets she had left after losing some. Jack's expression, 100−2t, represents the number of tickets Kate has now by subtracting twice the number of tickets she lost from the total number of tickets she initially had.

Explanation:

Kate wrote the expression 2(50−t) to find the number of tickets she has now. In this expression, t represents the number of tickets she lost. The expression is simplified as follows: multiply 2 by the quantity (50−t). This means that Kate's dad doubled the tickets she had left after losing some tickets.

Jack's expression, 100−2t, also determines the number of tickets Kate has now. In this expression, t represents the number of tickets she lost. The expression is simplified as follows: subtract 2 times the quantity t from 100. This means that Jack found the number of tickets Kate has by subtracting twice the number of tickets she lost from the total number of tickets she initially had.

Answer:

D) -2

Step-by-step explanation:

Answer:

D- -2

Hope this helps :)

To change the story from first person to third person point of view, first-person pronouns like 'I', 'me', and 'we' should be changed to third-person pronouns such as 'they', 'he', 'she', or the friends' names.

To change the point of view of the story from first person to third person, it is necessary to change the pronouns used in the narration. If the original story used first-person pronouns such as I, me, and we, these would need to be changed to third-person pronouns such as they, he, she, or the friends' names to reflect the third person point of view.

For example, a sentence that originally reads "We went to the park after school" would change to "They went to the park after school" in the third person point of view. This shift enables the story to be told as if an outside observer is describing the events that happen to the group of friends, rather than the friends themselves narrating the story.

Answer:

48 min  

Step-by-step explanation:

1 h = 60 min

It takes 60 min to go 65 mi.

Time = 52 × 60/65

Time = 48 min

Answer:

48min

Step-by-step explanation:

I used this question and got it right on my test. :)

Answer:

The correct option is A.

Step-by-step explanation:

The given inequality is

[tex]y\leq -2x[/tex]

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

[tex]y=-2x[/tex]

At x=0,

[tex]y=-2(0)=0[/tex]

At x=1,

[tex]y=-2(1)=-2[/tex]

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

[tex]4\leq -2(2)\Rightarrow 4\leq 4[/tex]            (True)

[tex]-6\leq -2(3)\Rightarrow -6\leq -6[/tex]           (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

[tex]2\leq -2(1)\Rightarrow 2\leq -2[/tex]            (False)

[tex]3\leq -2(1)\Rightarrow 3\leq -2[/tex]           (False)

Therefore options B,C and D are incorrect.

Answer:  (1,2) (-2,-4)

Step-by-step explanation:

Answer:

450

Step-by-step explanation: