What is the ratio of their surface areas

Answer:

31

Step-by-step explanation:

5x^2 + 2(4x - 7) - 8x =

5 * 3^2 + 2(4*3 -7) - 8*3 =

5 * 9 + 2(12-7) - 24 =

45 + 2 * 5 - 24 =

45 + 10 - 24 =

55 - 24 =

31

The graph of the quadratic function y = (1/2)*x^2 is on the image at the end.

We want to graph the quadratic function:

y = (1/2)*x^2

To do so, we need to evaluate it in the values x = {−4, −2, 0, 2, 4} to find some points.

if x = -4

y = (1/2)*(-4)^2 = 8

if x = -2

y = (1/2)*(-2)^2 = 2

if x = 0

y = (1/2)*0^2 = 0

if x = 2

y = (1/2)*(2)^2 = 2

if x = 4

y = (1/2)*(4)^2 = 8

So we have the points (-4, 8), (-2, 2), (0, 0), (2, 2), (4, 8).

Now just graph these points and connect them with a parabola, the graph of the quadratic equation is on the image below.

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Answer:

5 .5

Step-by-step explanation:

5.5 hih

byeeeeeeeeeeeee

Answer:

10 miles

Step-by-step explanation:

her house to school= 3+5=8 then I added two extra miles because 8+2=10

Answer:

x=8

Step-by-step explanation:

open the brackets to be

6x-6=42

then collect like tems

6x=48

x=8

Answer:

200.96

Step-by-step explanation:

Volume of cone=(1/3)*pi*r^2*h

Volume=(1/3)*pi*16*12=64*3.14=200.96

Answer:

540,000+67,000= ((607,000))

Step-by-step explanation:

(5.4*10^5= 540,000)+(6.7*10^4= 67,000)

Answer:

\(6.07 \times {10}^{5} \)

Step-by-step explanation:

\(5.4 \times {10}^{5} + 6.7 \times {10}^{4} \)

\(540000 + 67000 = 607000\)

\(607000 = 6.07 \times {10}^{5} \)

Using the equation of r, we found the equation of S as follows:

        S = 16x² + 80x + 100

What is meant by an equation?

A formula called an equation uses the equals symbol (=) to denote the equality of two expressions. An equal sign ("=") links two expressions together to form an equation. The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero. As we can balance this by deducting the expression on the right from the expressions on both sides, this won't reduce the generality. A statement is not an equation if it has no "equal to" sign. That will be regarded as an expression.

Given the equation of r as follows:

r = 2x + 5

r² = (2x + 5)² =  (2x + 5) *  (2x + 5)

Opening brackets and solving,

(2x + 5) *  (2x + 5) = 2x * 2x + 2x *5 + 5 * 2x + 5*5

                            = 4x² + 20x + 25

Now another equation is given as S.

S = 4r² = 4(4x² + 20x + 25) = 16x² + 80x + 100

Therefore using the equation of r, we found the equation of S as follows:

        S = 16x² + 80x + 100

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based on the survey, Andrea can expect approximately 144 students out of the 240 total students to have completed the project.

To estimate the number of students in the total population who can be expected to have completed the project based on the survey, we can use the concept of proportions.

In the survey, 24 out of 40 students said they finished the project. We can use this proportion to estimate the number of students out of the total population of 240 who completed the project.

Proportion of students who finished the project in the survey:

p(cap) = 24/40

To estimate the number of students who completed the project out of the total population, we can use the formula:

Estimated number of students = p(cap) * Total population

Estimated number of students = (24/40) * 240

Calculating the expression:

Estimated number of students = (3/5) * 240

Estimated number of students = 144

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a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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In summary:

(a) The point M(1, -2) does not lie in the region defined by the inequality x² + y² < 1.

(b) The point M(1, -2) does lie in the region defined by the inequality x² + y² - 8x - 4y - 5 ≥ 0.

To determine if the point M(1, -2) lies in the region defined by the inequality, we need to substitute the coordinates of the point into the inequality and check if the inequality is satisfied.

(a) For the inequality x² + y² < 1:

Substituting x = 1 and y = -2 into the inequality, we have:

1² + (-2)² < 1,

1 + 4 < 1,

5 < 1.

Since 5 is not less than 1, the inequality x² + y² < 1 is not satisfied by the point M(1, -2). Therefore, the point M does not lie in the region defined by this inequality.

(b) For the inequality x² + y² - 8x - 4y - 5 ≥ 0:

Substituting x = 1 and y = -2 into the inequality, we have:

1² + (-2)² - 8(1) - 4(-2) - 5 ≥ 0,

1 + 4 - 8 - (-8) - 5 ≥ 0,

5 - 8 + 8 - 5 ≥ 0,

0 ≥ 0.

Since 0 is greater than or equal to 0, the inequality x² + y² - 8x - 4y - 5 ≥ 0 is satisfied by the point M(1, -2). Therefore, the point M does lie in the region defined by this inequality.

In summary:

(a) The point M(1, -2) does not lie in the region defined by the inequality x² + y² < 1.

(b) The point M(1, -2) does lie in the region defined by the inequality x² + y² - 8x - 4y - 5 ≥ 0.

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Answer:

B=45

Step-by-step explanation:

let the supplamentary angle of <A is <d

180-A=d

180-135=d

45=d

90+d+B=180

90+45+B=180

135+B=180

B=180-135

B=45

The positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians, which is equal to 59.8°.

To find the positive angle in radians that is coterminal with −143 radians, we must first convert the negative angle to its equivalent positive angle. The angle −143 radians is equivalent to the angle 2π - 143 radians. We can calculate this by using the formula 2π + x = 2π - |x|, where x is the given angle. In this case, x = −143. Applying this formula, we get 2π + (−143) = 2π - |−143| = 2π - 143. This is the equivalent positive angle of the given negative angle. To find the positive angle that is coterminal with the positive angle we just found, we must subtract it from 2π until we get a value that is between 0 and 2π. To do this, we subtract 2π - 143 from 2π until we get a value that is between 0 and 2π. After subtracting 2π - 143 from 2π multiple times, we get the result 1.057 radians, which is equal to 59.8°. Therefore, the positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians.

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Step-by-step explanation:

the answer is in the image above

Triangular number sequnce

Answer:

blank=9

Step-by-step explanation:

Hi

6 * (3+8)  =  6 * 11 = 66

Answer:

66

Step-by-step explanation:

6 (3+8) aka 6×(3+8)

6 (11)

= 66

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Answer:

Multiply everything by 3/5 or .6.

Step-by-step explanation:

This will change the scale of the triangle to the new scale which is the answer.

20*.6=12

25*.6=15

32*.6=19.2

The equal monthly payment is $77.25.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that, the music company offers a loan to buy the drum set for

p = $1500 and the simple interest is r = 11.8% and the time to repay the loan is t = 2 years.

The total interest is given by:

I = prt

I = 1500 × 11.8% × 2

I = 1500 × 11.8/100 × 2

I = 354

Hence, the total amount to be paid is:

1500 + 354

= 1854

Since the amount is to be paid in equal monthly EMI for 2 years and there are 24 months in 2 years, divide 1854 by 24:

1854/24

= 77.25

Hence, the equal monthly payment is $77.25.

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Answer:

19 folders

Step-by-step explanation:

8 + 6 + 5 = 19

The probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

The probability of not rolling an even number in a single throw is 1/2, since there are three odd numbers and three even numbers on the die. Therefore, the probability of not rolling an even number in five independent throws is (1/2)^5 = 1/32.

The probability of rolling an even number in at least one of the throws is the complement of the probability of not rolling an even number in any of the five throws. So:

P(rolling an even number in at least one of the throws) = 1 - P(not rolling an even number in any of the five throws)

= 1 - (1/32)

= 31/32

Therefore, the probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

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The perimeter with the border = 7 feet

The length of the painting with the border, L = 3 in + 1.5 ft + 3 in

1 inch = 1/12 ft

3 in = 3/12 ft = 0.25 ft

L = 0.25 ft + 1.5 ft + 0.25 ft

L = 2 ft

The width of the painting with the border, W = 3 in + 1 ft + 3 in

W = 0.25 ft + 1 ft + 0.25 ft

W = 1.5 ft

The painting (with the border is rectangular in shape)

The perimeter, P = 2(L + W)

P = 2(2 + 1.5)

P = 2(3.5)

P = 7 ft

The perimeter with the border = 7 feet

Answer:

Step-by-step explanation:

el awnser es 0.265 libras mas

Answer:

d+d+1+d+5+4+12+24/6

Step-by-step explanation:

add the numbers and divide them by 6

Answer:

3d + 432

Step-by-step explanation:

= d ÷ 4 + d + 1 ÷ 12 + d + 5 ÷ 24

= d + d + d + 1 + 5 ÷ 4 ÷ 12 ÷ 24

= 3d + 6 ÷ 0.013888.....

= 3d + 432

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For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer:

x = 54/7 y= -4/7

Step-by-step explanation:

Answer:

x = 54/7 and y = -4/7

Step-by-step explanation:

x+3y=6

4x-2y=32

= 4 ( x+3y=6 )

= 4x +12y = 24 - 4x -2y = 32

=14y = -8

y = - 4/7

X + 3(-4/7) = 6

x+-12/7 = 6

x = 54/7

Given a 4-column table with 3 rows as follows First column: Has no label with entries before 10 p m, after 10 p m, total. Second column: Labeled 16 years old with entries 0. 9, a, 1. 0.Third column: Labeled 17 years old with entries b, 0. 15, 1. 0.Fourth column: Labeled total with entries 0. 88, 0. 12, 1. 0.

We are to determine the values of the letters to complete the conditional relative frequency table by column, and we know that A = b =.The table can be represented as follows: 16 years old | 17 years old | Total | Before 10 pm | 0.9 | b | 0.88 | | After 10 pm | a | 0.15 | 0.12 | | Total | 1.0 | 1.0 | 1.0 |. The first column has no label with entries before 10 p m, after 10 p m, total. The second column is labeled 16 years old with entries 0. 9, a, 1. 0.

The third column is labeled 17 years old with entries b, 0. 15, 1. 0. The fourth column is labeled total with entries 0. 88, 0. 12, 1. Given that A = b =, this means a = b. Since the entries in each column add up to 1, we can factor the quadratic to get (a + 9)(a - 2) = 0. This tells us that a must be either -9 or 2, but since length cannot be negative, we know that a = 2. We can then use this value to find the width of the rectangle, which is 9/2 units. we can equate the entries in the third column to get:0.88 + 0.12 = 1.0Since A = B = a = b, we have:0.9 + a = 1.0 ⇒ a = 1.0 - 0.9 = 0.1b + 0.15 = 1.0 ⇒ b = 1.0 - 0.15 = 0.85Therefore, A = b = a = 0.1, 0.85, 0.1 respectively.

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Quinn's way takes a little more time because he didn't chose a good answer to multiply with 8 but gotten the answer anyways. Unlike Jewel, she had a answer that made things much quicker.

The maximum possible salary for each player is calculated as $27,272.72

Data;

The maximum possible salary for a single player in each team can be calculated when we divide the total maximum allowed salary for the team by the total numbers of players. This would put all the players on an even pay or equal pay.

Let the maximum possible allowed salary be represented by x

\(x = \frac{60000}{22} \\x= 27,272.72\)

The maximum possible salary for each player is calculated as $27,272.72

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