Im trying to get the area of this picture. But how do i find the answer and ?

Answer:

The answer is

\(k = 48\)

Answer: the quotient is 957.07 x 10^4 which is equivalent to 957,070

Step-by-step explanation:

At the end of 2 years, Jackson will have $3,048.19 on deposit in his savings account.

To solve this problem, we can use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)\)

where A is the amount on deposit at the end of the period, P is the principal (or initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $120 (since that's how much Jackson deposits at the end of each month), r = 0.03 (since the interest rate is 3%), n = 12 (since the interest is compounded monthly), and t = 2 (since we're looking at a 2-year period).

First, we need to find the total amount that Jackson deposits over the 2-year period:
Total deposits = $120/month x 12 months/year x 2 years = $2,880

Next, we can use the compound interest formula to find the amount on deposit at the end of 2 years:
\(A = $2,880(1 + 0.03/12)^{(12 \times 2)\) = $3,048.19

Therefore, Jackson will have $3,048.19 on deposit in his savings account at the end of 2 years, assuming he makes no withdrawals during that period.

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Answer:

18 oz. trust

Step-by-step explanation:

Answer:

Step-by-step explanation: a

im sorry but can you show more so i can help you                                          Step-by-step explanation:

Answer:

\(\huge\boxed{\sf C = 18 \pi \ cm}\)

Step-by-step explanation:

Diameter = 18 cm

Radius = D / 2 = 18 / 2 = 9 cm

Circumference = 2πr

C = 2π (9)

C = 18 π cm

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

unlimited solutions (all real numbers)

Step-by-step explanation:

3x + 21 = 3(x +7)

3x + 21 = 3x + 21

Answer:

WOW SPORTS

Step-by-step explanation:

The probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25. Probability is the possibility that an event will occur.

The formula for calculating probability is as follows: P(A) = n(A) / n(S), where n(A) represents the number of favorable outcomes and n(S) represents the number of possible outcomes.

In the case where an employee randomly selects a chocolate, records their selection, and returns the chocolate to the display, selecting 10 chocolates in this way, the possible number of outcomes is 4 * 10 = 40, where the 4 represents the total number of chocolate types and the 10 represents the total number of chocolate selected.

The formula for the binomial distribution is as follows: P(X = x) = \((nCx) p^x (1 - p)^(n - x)\), where n is the total number of trials, x is the total number of successes, p is the probability of success, 1 - p is the probability of failure, and nCx is the binomial coefficient of x in n.

Using the binomial distribution formula, the probability of selecting three white chocolates is:

P(X = 3) = (10C₃) (1/4)^3 \((3/4)^(10 - 3)\) P(X = 3)

= (120) (1/64) (27/64)P(X = 3)

= 0.25028228759765625

Therefore, the probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25.

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Answer: -4c+12

all real numbers

Step-by-step explanation:

6) 28-(3c+4) =2 (c+6)+c

When there is a - in front of an expression in parentheses , change the sign of each term of the expression.

28-3c-4=2(c+6)+c

Distribute 2 through the parentheses

28-3c-4=2c+12+c

Now we do the same thing only different way

2(c+6)

Multiply each term in the parentheses by 2

2c+2×6

Multiply the numbers

2c+12

_____________

28-3c-4=2c+12+c

subtract the numbers

24-3c=2c+12+c

Collect like terms

24-3c=3c+12

It's the same thing only different way ok

2c+c

If a term doesn't have a coefficient , it is considered that the coefficient is 1.

2c+1c

Collect like terms by adding their coefficients

(2+1)c

Add the numbers

3c

________

24-3c=3c+12

Move variable to the left hand side and change its sign

24-3c-3c=12

Move constant to the right  by adding its opposite to both sides

-3c-3c+24-24=12-24

eliminate the opposites

-3c-3c=12-24

Collect like terms

-6c=12-24

Calculate the difference

-6c=-12

so the same thing only different way ok

12-24

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(24-12)

Subtract the numbers

-12

__________

-6c=-12

divide both sides of the equation by -6

-6c÷(-6)=-12÷(-6)

Any expression divided by itself equals 1

c=-12÷(-6)

Dividing two negatives equals a positive

(-)÷(-)=(+)

c=12÷6

Calculate the quotient

c=2

Answer : 2

7) no solution

Answer:

D

Step-by-step explanation:

i took the test and i got it right

Step-by-step explanation:

\(\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2\)

We need to Find:

\(\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} \)

\(\sf \longmapsto 2 \times 2\)

\(\sf \longmapsto \: x = 4\)

\(\sf \longmapsto \: x {}^{3} \)

\(\sf \longmapsto {4}^{3} \)

\(\sf \longmapsto4 \times 4 \times 4\)

\(\sf \longmapsto64 {}^{1} \)

\(\boxed{\sf x^3≈64 {}^{}} \)

Answer:

x = 3

Step-by-step explanation:

i used ti-nspire calculator

nSolve(5x-1 = 3x+5,x)

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

Answer:

The length of a side of the pool is 12 m²

Step-by-step explanation:

Let the area of the square plot be A. Since it is a square plot of 35 m side, its area is A = 35² = 1225 m².

Let A' be the area of the lawn. Since the area of the lawn is 1081 m², A' = 1081 m².

Now the area of the pool is the difference in area between the area of the square plot and the area of the lawn. So, let A'' be the area of the square swimming pool.

So, A'' = A - A'

A'' = 1225 m² - 1081 m²

A'' = 144 m².

Since the swimming pool is a square, the length of its side, L is thus

L = √A''

L = √144 m²

L = 12 m

So, the length of a side of the pool is 12 m.

Edwin eats approximately 9 kilograms of granola in a year.

To calculate how much granola Edwin eats in a year, we need to determine the total amount of granola consumed in a month and then multiply it by the number of months in a year.

Given that Edwin eats about one 750-gram bag of granola every month, we can simply multiply this by the number of months in a year, which is 12.

750 grams * 12 months = 9,000 grams

To convert grams to kilograms, we divide by 1,000 since there are 1,000 grams in a kilogram.

9,000 grams / 1,000 = 9 kilograms

Therefore, Edwin eats approximately 9 kilograms of granola in a year.

It's important to note that this calculation assumes that Edwin's granola consumption remains consistent throughout the year and that he consumes exactly one 750-gram bag each month. Variations in actual consumption may lead to slightly different results.

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Answer:

The answer is c. 81.76%

Equate the to zero, such that all the terms on the right side is transposed to the left side.

Apply the quadratic formula to the quadratic term.

Now we have 2 solutions, solve for the other solution which is the solution for 4x².

Summarizing the solution.

The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

To find the area of the cross-section of a sphere, we need the radius of the sphere. However, given only the volume of the sphere (approximately 5575.3 m³), we cannot directly determine the radius.

The volume of a sphere is calculated using the formula:

V = (4/3) * π * r³,

where V is the volume and r is the radius of the sphere.

To find the radius, we can rearrange the formula:

r = ((3 * V) / (4 * π))^(1/3).

Substituting the given volume into the formula, we have:

r = ((3 * 5575.3) / (4 * π))^(1/3).

Using the value of π as approximately 3.14159, we can calculate the radius:

r ≈ ((3 * 5575.3) / (4 * 3.14159))^(1/3) ≈ 10.25 m.

Now that we have the radius (approximately 10.25 m), we can calculate the area of the cross-section of the sphere.

The formula for the area of a cross-section of a sphere is:

A = π * r².

Substituting the radius we found, we have:

A = π * (10.25)² ≈ 330.29 m².

The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

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The numerical value of x in the measure of the vertical angles is 16.

Vertical angles are simply angles which are opposite of one another when two lines cross.

Vertical angles have the same angle measure, hence, they are congruent.

From the diagram, as the two lines crosses, the two angles are opposite of each other, hence the angles are vertical angles.

Angle 1 = 65 degrees

Angle 2 = ( 4x + 1 ) degrees

Since vertical angles are congruent.

Angle 1 = Angle 2

Hence:

65 = ( 4x + 1 )

We can now solve for x:

65 = 4x + 1

Subtract 1 from both sides:

65 - 1 = 4x + 1 - 1

64 = 4x

x = 64/4

x = 16

Therefore, the value of x is 16.

Option D) 16 is the correct answer.

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Answer:

It's 35, I don't think you need an explanation but if you do ask!

There are 4 choices of meats from which you take 3, so there are

4! / (3! (4 - 3)!) = 4! / (3! 1!) = 4!/3! = 4

possible choices of 3-meat combos.

Answer:

2

Step-by-step explanation:

The standard deviation of the data set {28, 34, 27, 42, 52, 15} is approximately 11.73.

To calculate the standard deviation of the data set {28, 34, 27, 42, 52, 15}, we can follow these steps:

Find the mean (average) of the data set by summing all the numbers and dividing by the total count:

Mean = (28 + 34 + 27 + 42 + 52 + 15) / 6 = 198 / 6 = 33.

Calculate the difference between each data point and the mean:

Subtract the mean from each data point: {28 - 33, 34 - 33, 27 - 33, 42 - 33, 52 - 33, 15 - 33} = {-5, 1, -6, 9, 19, -18}.

Square each of the differences obtained in step 2:

Square each value: \({(-5)^2, 1^2, (-6)^2, 9^2, 19^2, (-18)^2} = {25, 1, 36, 81, 361, 324}.\)

Find the mean of the squared differences:

Sum the squared differences: 25 + 1 + 36 + 81 + 361 + 324 = 828.

Divide by the total count (6): 828 / 6 = 138.

Calculate the square root of the mean of squared differences:

Standard deviation = √138 ≈ 11.73 (rounded to two decimal places).

Therefore, the standard deviation of the given data set {28, 34, 27, 42, 52, 15} is approximately 11.73.

The standard deviation measures the spread or variability of the data points from the mean, indicating the average distance of each data point from the mean.

In this case, the standard deviation of 11.73 suggests that the data points are relatively spread out from the mean value of 33.

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Answer:

44 months

Step-by-step explanation:

If you subtract 24,000 by 2,000 it equals 22,000 then you divide that by 5 and have 44

Answer:

44 months

Step-by-step explanation:

24000 - 2000= 22000

500 x 44= 22000

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

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Answer: C

Step-by-step explanation:

4f(x)= 4(5x^2+8x-1) = 20x^2+32x-4

-2g(x)= 2(3x^2-9x+7) = 6x^2-18x+14 

 20x^2+32x-4 

- 6x^2-18x+14
= 14x2+14x+10

I hope this helps :)