The total cost of a sweater and a shirt was $61.11. If the price of the sweater was $4.29$ less than the shirt, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

Answer:

Leaves from the vine

Falling so slow

Like fragile tiny shells

Drifting in the foam

Little soldier boy

Come marching home

Brave soldier boy

Comes marching home

The statistical analysis of the data using a two-sample t-test indicates;

(a) B. Yes, the Meters On data appears to have higher speeds

A. No, there does not appear to be any outlier

(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)

H₁; \(\mu_{on}\) > \(\mu_{off}\)

The P-value for the test is about 0.037

A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.

(a) The average of the data values are;

Ramp meters on;

\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87

\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4

The higher average value for the speed with the Ramp meters on indicates;

B. Yes, the Meters On data appears to have higher speeds

The five number summary are;

Ramp Meters On

Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47

IQR = 47 - 32 = 15

Outlier = 47 + 1.5 × 15 = 69.5

32 - 1.5 × 15 = 9.5

Therefore, there are no outliers for the Ramp Meters On

Ramp Meters Off

Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40

IQR = 40 - 25 = 15

Outlier = 40 + 1.5 × 15 = 62.5

25 - 1.5 × 15 = 2.5

Therefore, there are no outliers for the Ramp Meters Off data

(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)

The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)

(c) The two sample t-test, can be obtained using the formula;

\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)

Where; \(\bar{x}_1\) = 40.87

\(\bar{x}_2\) = 34.40

s₁ = 9.91

s₂ = 9.20

n₁ = n₂ = 15

Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;

The p-value is less than 0.05, therefore, the result is significant.

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the answer is B for this question

The equation for f(x) if the independent value is 2 will give a result of 13 is (x) = 3x² + 1

Given the expression f(2) = 13, we need to find the function such that when the input value is 2, the output value will be 13.

Using the function f(x) = x² + 8

f(2) = 2² + 8

f(2) = 4 + 8 =12

Using the function f(x) = 3x² + 1

f(2) = 3(2)² + 1

f(2) = 12 + 1 =13

Hence the equation for f(x) if f(2) = 13 is (x) = 3x² + 1

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Answer:

b

Step-by-step explanation:

positive linear means more of this = more of the other.

and that's what it looks like it's doing. bigger screen = more hours

Answer:

3(14 + x) = 57

Step-by-step explanation:

I just answered the same question edmentum

Answer:

a) 28395

b) 3859

c) 980

Step-by-step explanation:

The formula to determine the population is as follows -

\(P = P_0 * e^{rt}\)

a) P0 = 6336

r = 3/10

t = 5

Substituting the given values, we get

\(P = 6336 * e ^{\frac{3}{10} *5}\)

P = 28395

b) Substituting the given values

\(P = 1823 * e^{\frac{3}{12} *3}\\P = 3859\)

c) Substituting the given values

\(P = 580 * e^{72*12}\\P = 3859\\P = 580 *1.69\\P = 980\)

Answer:

Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.

Option B is the table which could represent the given situation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

According to the question

A pool charges $7 for 2 daily pool passes.

Using the linear equation y = mx + b

Substitute x = 2, y = 7

\(7 = 2m + b\).....(1)

Substitute x = 4, y = 14

\(14 = 4m + b\)  .....(2)

Using elimination method

Subtract equation 1 from 2

\(14 - 7 = 4m - 2m + b - b\)

\(7 = 2m\)

\(m=\frac{7}{2}\)

Substitute m = \(\frac{7}{2}\) in equation 1

\(7=2(\frac{7}{2} )+b\)

b = 7 - 7

b = 0

Substitute b = 0 in equation 1

7 = 2m

Similarly

14 = 4m

21 = 6m

28 = 8m

Hence, Option B is the table which could represent the given situation.

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The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

a = -2, b = -5, c = 1

I hope this helps

Answer:

P = 72.5 * e^(0.025t)

Step-by-step explanation:

Here's a step by step solution with all the details and calculus involved.

(a) Express P as a function in the form P = Poat.

Since the population is growing continuously at a rate of 2.5% per year, we can use the formula for continuous growth:

P = Po * e^(rt)

where Po is the initial population (72.5 million), r is the continuous growth rate (0.025), and t is the time elapsed in years since 2004.

The continuous growth rate, r, is related to the annual growth rate, g, by:

r = g / 100

So, the continuous growth rate is 0.025.

Substituting the values into the formula for continuous growth, we get:

P = 72.5 * e^(0.025t)

This is the expression for the population as a function of time in the form P = Poat.

(b) Express P as an exponential function using base e.

The exponential function using base e is already in the desired form. So, we can simply write:

P = 72.5 * e^(0.025t)

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The graph that best represents an increasing function is (a) A graph shows a non linear curve that joins the ordered pairs (0, 0), and (2.5, 1), and (4, 3).

For a graph to represent an increasing function, then as the input values increases, the output values must also increase

This means that:

As the x values increases, the y values must also increase

Hence, the graph that best represents an increasing function is (a)

This is so because as x increases from 0 through 2.5 to 4, y increases from 0 through 1 to 3

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Answer: 20

Step-by-step explanation:

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

5.236, 5.235

Step-by-step explanation:

ya just round em up

Answer:

Step-by-step explanation:

Answer:

Option A is correct

Step-by-step explanation:

For the box y=mx+c

Hope this helps

Its A.

If you need something more explained go to the other answer.

Okay so the three 2s here are the factors of 8, there is no need to include all four 2s since the given set of factors already completes the factors of 8 and 14 . And we are are looking at the LEAST common denominator

Answer:

x^3 + x^2 - 5x + 3

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

Based on the information, the first difference is 0 and the second difference is 0.

It should be noted that to find the first and second differences, we need to compute the differences between consecutive terms of the function f(x).

(x) 1 2 3 4

f(x) 54 60 66 72

The first difference is the difference between consecutive terms of f(x).

f(2) - f(1) = 60 - 54 = 6

f(3) - f(2) = 66 - 60 = 6

f(4) - f(3) = 72 - 66 = 6

So the first difference is constant and equal to 6.

The second difference is the difference between consecutive terms of the first difference.

6 - 6 = 0

So the second difference is constant and equal to 0.

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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As per the concept of proportionality, the best relationship between time and water pump is y = 55.5x

Proportionality:

If two object are proportional to each other, the link between them can be described by

y = kx,

where ‘k’ is the constant ratio of y-values to corresponding x-values.

Given,

The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes.

Here we need to find the relationship between the water pump and the time for filling.

Let us consider x be the number of minutes and y be the amount of water follows on the pump that s measured in gallons.

AS per the proportionality, the relationship is written as,

y = kx

Where k is the constant, that refers the amount of water flows in one minute.

To calculate this we have to divide the amount of water by the minutes,

Thus, equals,

=> 166.5/3

=> 55.5

Therefore, the value of k is 55.5.

Then the relationship is

y = 55.5x

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Answer:

5 oranges and 10 apples were sold  

Step-by-step explanation:

Let x be the number of oranges sold and y be the number of apples sold

Since 15 fruits were sold in all we get the following equation

x + y = 15 ....................[1]

Each orange costs $1 so if x oranges were sold that would fetch x dollars in sales = x dollars in sales

Each apple costs $2 so if y apples were sold, that would result in 2y dollars in sales

Total sales in $ = x + 2y and we know this is $25 so we get the second equation as

x + 2y = 25 ..................[2]

Look at the two equations. The coefficient of the x term is the same. We can eliminate the x term by subtracting equation [1] from equation [2] as follows:

x + 2y = 25
                    -
x  +   y = 15
-----------------
        y = 10

(2y - y = y and 25-15 = 10)

Now that we know y = 10, we can use equation [1] to find x

x + 10 = 15

which makes x = 5

ANSWER

5 oranges and 10 apples were sold  

Answer:

$654.06

Step-by-step explanation:

ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります

関係のドメインは？ 1）関係の出力（y）値2）関係の入力（x）値3）入力値をペアにするポイントのセット…

f（x）= 16 – x ^ 2、g（x）= 4 –xとします。 （fg）（x）とその定義域を見つけます。

助けてくださいお願いします

助けてください

Answer: the answer would be 79.06

Step-by-step explanation: