Jill begins the summer with $500 in her savings account. Each week
she withdraws $20. Her brother, Sam, starts the summer with $150 in
his account. He adds $30 to his account each week. At what weck will
both Jill and Sam have the same amount in their account?
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+

Answer:

-10

Step-by-step explanation:

6=-x-4           plug in 6 for f(x)

10=-x             add 4 to both sides in order to cancel out the -4

-10=x             multiple each side by -1 to make the x positive

Answer:

r = 4

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

V = 100.48

h = 6

π = 3.14

Work:

V = πr²(h/3)

100.48 = r²(3.14)(6/3)

100.48 = r²(3.14)(2)

100.48 = r²6.28

r² = 100.48/6.28

r² = 16

\(\sqrt{r^2} =\sqrt{16}\)

r = 4

Given:

A container holds 4 gallons of lemonade.

A large lemonade contains 16 ounces.

To find:

The number of large lemonades that the restaurant can cell before they ran out of lemonade.

Solution:

We know that,

1 gallon = 128 ounces

4 gallon = 512 ounces

So, a container holds 512 ounces of lemonade.

A large lemonade contains 16 ounces. So,

\(\text{Number of large lemonades}=\dfrac{\text{Total lemonade in container}}{\text{Lemonade in a large container}}\)

\(\text{Number of large lemonades}=\dfrac{512}{16}\)

\(\text{Number of large lemonades}=32\)

Therefore, the required number of lemonades is 32.

Answer:

Step-by-step explanation:

S+J+M=36

J=S-2 or J=x-2

M=S-16 or M=x-16

Answer:

Jake: x-2 and Matthew: x-16  (I think it is C on your sheet.)

Step-by-step explanation:

x = Sarah

x-2 = Jake

x-16 = Matthew

Answer:

• 5x + 20 = 5(x + 4)

• 5(2x + 8) = 10x + 40

• 5(x + 8) = 5x + 5.8

Answer:

Given

a)

x = 68

b)

x = 100 and x = 132

c)

68% confidence interval, assumed sample number n = 100

z-score representing 68% = 0.47

d)

Number of people scored above 148:

Answer: The question is not clear.

Step-by-step explanation:

If 160 people each play the game once, the number of bat-shaped pencils won would depend on the rules and mechanics of the game. Without specific information about the game, it is not possible to determine the exact number of bat-shaped pencils that would be won.

To determine the number of bat-shaped pencils won, we need to know the rules of the game and the conditions for winning a pencil. For example, if the game awards one bat-shaped pencil to each player who scores a certain number of points or completes a specific task, we would need to know the criteria for winning the pencil. If all 160 players meet the requirements, then each of them would receive one bat-shaped pencil, resulting in a total of 160 pencils won.

However, if the game has a limited number of bat-shaped pencils to be won, such as only 10 pencils available in total, then it would be a competition among the players to secure a pencil. In such a case, it would depend on the players' performances and the selection process defined by the game. Without further information about the game's rules and the availability of the bat-shaped pencils, it is not possible to determine the exact number that would be won.

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Answer:

\(\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}\)

Step-by-step explanation:

y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.

When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.

Answer:

Step-by-step explanation:

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

Answer:

\(12 = 12 \\ 12 - 12 = 12 - 12 \\ 0 = 0\)

Both breaking a glass tumbler and burning paper are irreversible changes where the original substances cannot be obtained again. However, the difference lies in the nature of these changes.

Breaking a glass tumbler is a physical change because it does not involve a change in the chemical composition of the glass. The tumbler can be shattered into smaller pieces, but the fundamental properties of glass, such as its chemical composition and structure, remain the same. While it may be possible to gather and reassemble the glass pieces, the original tumbler cannot be completely restored to its original form. The physical bonds between the glass molecules are disrupted, making it difficult to reverse the change entirely.

On the other hand, burning paper is a chemical change. When paper burns, it undergoes a combustion reaction where the paper reacts with oxygen in the air and transforms into new substances, such as carbon dioxide, water vapor, and ash. This chemical reaction breaks down the cellulose fibers in the paper and results in the formation of different compounds. Once the paper has been burned, it cannot be converted back into its original form through a simple physical process. The chemical composition of the paper has been altered irreversibly.

In summary, while both breaking a glass tumbler and burning paper are irreversible changes where the original substances cannot be obtained again, the difference lies in the nature of these changes. Breaking a glass tumbler is a physical change involving the physical separation of glass pieces, whereas burning paper is a chemical change resulting in the formation of new substances through a combustion reaction.

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Answer:

Step-by-step explanation:

Answer:

Factors: 5x, 3x²y⁵   Not Factor: 10x⁴y³

Step-by-step explanation:

5x is a factor because 15x²y⁶= 5x•3xy⁶

3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y

10x⁴y³ isn't a factor because 15:10=1.5 isn't integer

Answer:

y = -x - 4

Step-by-step explanation:

Slope = (y-y)/(x-x)

Slope = (9-3)/(-2-4)

Slope = 6/-6

Slope = -1

b = y - mx

b = -5 - (-1)*(1)

b = -5 + 1

b = -4

y = -x -4

Answer: 450 minutes

Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!

Your welcome!

Good night!

Answer:

6x2+x+2

Step-by-step explanation:

Mark Brainliest?

Answer: Simplify your answer and write it as a proper fraction, improper fraction, or whole number

Step-by-step explanation:

The volume of sphere is 1437.33 if the given radius is 7 .

What is Surface area of sphere ?

Surface area of sphere can be defined as the product of four , pi and square of radius. And here the value of pi could be 3.14 or 22/7 .

Given ,

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

Therefore, the volume of sphere is 1437.33 if the given radius is 7 .

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer

the answer is 254 cm 2

Step-by-step explanation:

The area of the circle will be 254 square cm. Then the correct option is C.

Let r be the diameter of the circle. Then the area of the circle will be

A = (π / 4)d² square units

The radius of the circle is 18 cm.

Then the area of the circle will be

A = (π / 4) x (18)²

A = 254.46 ≈ 254 square cm

Then the correct option is C.

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The radius of convergence of the series (cn + dn)xn is less than or equal to 1/10 + 1/11, or approximately 0.206.

The radius of convergence of a power series is a measure of how far from the center the series converges. For a power series ∑cnxn, the radius of convergence is denoted as R and is defined as the reciprocal of the limit superior of the absolute values of the coefficients:

\(R = 1 / lim sup |cn|^{(1/n)\)

Given that the series ∑cnxn has a radius of convergence of 10, we have:

\(lim sup |cn|^{(1/n) }= 1/10\)

Similarly, the series ∑dnxn has a radius of convergence of 11, so:

\(lim sup |dn|^{(1/n)} = 1/11\)

Now, let's consider the series ∑(cn + dn)xn. We want to find its radius of convergence, which we'll denote as R'.

Using the same definition, we have:

\(R' = 1 / lim sup |(cn + dn)|^{(1/n)\)

To simplify this expression, we'll use the triangle inequality:

|(cn + dn)| ≤ |cn| + |dn|

Taking the limit superior of both sides, we have:

lim sup |(cn + dn)| ≤ lim sup (|cn| + |dn|)

Now, let's analyze the right-hand side of the inequality:

lim sup (|cn| + |dn|) = lim sup |cn| + lim sup |dn|

Using the properties of the limit superior, we have:

lim sup |cn| + lim sup |dn| ≤ 1/10 + 1/11

Combining these inequalities, we have:

lim sup |(cn + dn)| ≤ 1/10 + 1/11

Therefore, we can conclude that the radius of convergence of the series ∑(cn + dn)xn is less than or equal to 1/10 + 1/11.

To summarize, the radius of convergence of the series (cn + dn)xn is less than or equal to 1/10 + 1/11.

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The complete question is:

Suppose the series ∑cn xn has a radius of convergence of 10 and the series ∑dn xn has a radius of convergence of 11. What is the radius of convergence of the series ∑(cn + dn)xn?

Answer: in the image

I believe this is what you are looking for, hope this helps!

The probability of pulling out an 7up from the ice chest that contains the different drinks is 2/13.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of pulling out an 7up = number of 7ups / total number of drinks

2/(8 + 3 + 2)

2/13

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Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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the answer is

\(x = \frac{n - c}{p + 1} \)

Step-by-step explanation:

add x to both sides of the equation

subtract c from both sides of the equation

factor x out of px+x

divide each term by p+1 and simplify and that how you get your answer.