john visited his grandma's house over the weekend.

Answer:

The triangular prism (first one)'s area is 19,200ft cubed (put a tiny 3 next to it) and the second one is 7,744m cubed

hope this helps

Answer:

Why do you need help? You are right.

The triangular prism is 3168

The rectangular prism is 2376.

Step-by-step explanation:

Answer:

yes   they would be 1 25/30  and  2 6/30

Step-by-step explanation:

The equivalent fractions for 2 1/5 and 1 and 5/6 using 30 of the common denominator would be 1 25/30  and  2 6/30

A fraction has two parts: Numerator and Denominator.

It is in the form of a Numerator / Denominator. A fraction is a numerator divided by the denominator.

We need to write equivalent fractions for 2 1/5 and 1 and 5/6 using 30 of the common denominator .

Now consider the first fraction as;

2 1/5 = 11/5

Then other fraction must be multiple of the denominator of the other.

So, 1 and 5/6 = 11/6

We can see that "the denominator of one is a multiple of the denominator of other" that is 5 x 6 = 30

Thus the two fractions are; 1 25/30 and 2 6/30

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Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

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Answer:

Step-by-step explanation:

208

By Angle-Angle-Side (AAS) triangle congruence theorem we know that two triangles are congruent if they have two sets of congruent angles and a set of non-included congruent sides.

Since no figure is given in the question we employ the reflexive characteristic to demonstrate that the overlapping sections are congruent in order to demonstrate that overlapping triangles are congruent.

If two triangles are precisely the same size and shape—that is, if they have the same side lengths and angle measurements—they are said to be congruent. If we are aware that two triangles have all the same sides and angles, we can conclude that the triangles are congruent.

To demonstrate that two triangles are congruent, however, we don't necessarily need to know that all of their sides and angles are congruent.

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Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

Step-by-step explanation:

by using the radical and suds rule

Answer:

\(y=-x\,cos\,x+Cx\)

There are no transient terms.

Step-by-step explanation:

Given: \(x\,\frac{dy}{dx} -y=x^2\,sin\,x\)

To find: general solution of the differential equation and the transient terms in the general solution.

Solution:

For an equation of the form \(\frac{dy}{dx}+yp(x)=q(x)\),

solution is given by \(ye^{\int {p(x)} \, dx }\) = ∫ q(x)\(e^{\int {p(x)} \, dx }\) dx

The given equation \(x\,\frac{dy}{dx} -y=x^2\,sin\,x\) can be written as \(\frac{dy}{dx}-\frac{y}{x}=x\,sin\,x\)

Here,

\(p(x)=\frac{-1}{x}\,,\,q(x)=x\,sin\,x\)

\(e^{\int{p(x)} \, dx } =e^{\int{\frac{-1}{x} } \, dx } =e^{-ln(x)} =e^{ln(x^{-1} )}=x^{-1}=\frac{1}{x}\)

So,

the solution is \(\frac{y}{x}=\int \frac{1}{x}x\,sin\,x\,dx\)

\(\frac{y}{x} =\int\,sin\,x\,dx\\\\\frac{y}{x} =-cos\,x+C\\y=-x\,cos\,x+Cx\)

Here, C is a constant.

Transient term is a term such that it tends to 0 as x → ∞

Here, there does not exist any term that tends to 0 as x → ∞

So, there are no transient terms.

The average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023

What is the percentage increase?

Percentage increase is a measure of how much a value or quantity has increased relative to its original value, expressed as a percentage.

To calculate the percentage increase, you can use the following formula:

Percentage increase = (New value - Old value) / Old value x 100%

If the average rent of a one-bedroom apartment in Brooklyn is $2,700 in 2021, and it increases by 2.5% in both 2022 and 2023, we can calculate the average rent in 2023 as follows:

Calculate the increase in rent due to the 2.5% increase in 2022:

2.5% of $2,700 = 0.025 x $2,700 = $67.50

The new rent in 2022 will be $2,700 + $67.50 = $2,767.50

Calculate the increase in rent due to the 2.5% increase in 2023:

2.5% of $2,767.50 = 0.025 x $2,767.50 = $69.19

The new rent in 2023 will be $2,767.50 + $69.19 = $2,836.69

Therefore, the average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023.

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9514 1404 393

Answer:

   4.9% weekly

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the account balance that results from investing P at rate r compounded n times per year for t years.

Filling in the values for the two scenarios, we find ...

  A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89

  A = 10,000(1 +0.049/52)^(52·3) = 11,582.74

The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer: 3583.37 ≈ 3500

Step-by-step explanation:

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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Answer:

y=7X-6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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The solution is,  if depreciation is involved it will NEVER be greater than the amount the car was. $16464

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

30000(1+ -.012/4) ^4*5

Use the compounded continuously formula

A= intial amount

Pe^rt

A=30000e

the small e means euler

r= rate

t= t

A= 30000e ^(-0.12x5)

=$16464

the answer is 16,464

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The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y  = 2/3x + 10/3

From the question, we have the following parameters that can be used in our computation:

y - 4 = 2/3(x - 1)

We start by expanding the bracket

So, we have the following representation

y - 4 = 2/3x - 2/3

Next, we add 4 to both sides of the equation

This gives

y - 4 + 4 = 2/3x - 2/3 + 4

Evaluate the like terms

So, we have the following representation

y  = 2/3x + 10/3

Hence, the equivalent equation is y  = 2/3x + 10/3

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Answer:

Me too

Step-by-step explanation:

I dont understand either

Answer:

By setting up the equation 8p - 4 = 10

Step-by-step explanation:

To find the value of each paperback in the set, we can use the equation:8p - 4 = 10In this equation, p represents the value of each paperback in dollars.Explanation:The equation 8p represents the total value of the 8 paperbacks before Janice used $4 to purchase the board game.Subtracting $4 from the total value gives us the remaining amount of money Janice had after the purchase, which is $10.By setting up the equation 8p - 4 = 10, we can solve for p, the value of each paperback in the set.

The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

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Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

9

Step-by-step explanation:

it will take approximately (72 / 8) = 9 years to double the invested money.

Answer: 10

Step-by-step explanation:

time to double = 72/rate(as a percentage)

= 72/7

≈ 10.29

It will take about 10 years for your investment to double.

Answer:p=12n

Step-by-step explanation:

12 pencils a pack(n) total is p

Your total is p and 12 pencils a pack so n is the number of packs, you have to multiply the number of packs by 12 so it’ll be 12n and p is you total so p=12n

Answer:

The value of y  = 30 when x = 5

Step-by-step explanation:

We know that when 'y' varies directly proportional to 'x', we get the equation

y ∝ x

y = kx

k = y/x

where k is called the 'constant of direct variation'.

We are given

y = 12 when x = 2

so substituting y = 12 and x = 2 in the equation

k = y/x

k = 12/2

k = 6

Thus, the value of k = 6

We have to determine the value of y when x = 5

so substitute x = 5 and k = 6 in the equation

y = kx

y = 6(5)

y = 30

Therefore, the value of y  = 30 when x = 5