Find The Measure Of Each Angle Indicated. (2024)

The equation that can be used to determine the price of the dress

is x + 0.06x + 35 = 126.16.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Assuming the cost of the dress Francesca bought to be 'x'.

We know, 6% = 0.06 in decimal and She also paid $35 which was not taxed to have the dress altered.

Therefore, The equation to determine the cost of the dress would be,

x + 0.06x + 35 = 126.16.

1.06x = 126.16 - 35.

1.06x = 91.16.

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Approximately 99.7% falls within three standard deviations.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Since the mean score is 50 and the standard deviation is 10, this means that approximately 68% of the students scored between 40 and 60, approximately 95% scored between 30 and 70, and approximately 99.7% scored between 20 and 80. Therefore, approximately 32% of students scored above 60.

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Answer:

11 and 12

Step-by-step explanation:

Solving this would be the case of finding that square root of 131, then rounding both up and down.

First, to solve

The square root of 131 is 11.45

Now we take that 11.45 and round both up and down

Rounding down is 11 and rounding up is 12.

11 and 12 are next to each other, making them consecutive.

Answer:

I think its 11 and 12

Step-by-step explanation:

The balance will be $15,036.30 after 7 years.

What is Compound Interest?

Compound interest, also known as interest on principle and interest, is the practise of adding interest to the principal amount of a loan or deposit.

We have,

P = $10,000

R= 6%

T= 7 years

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n[tex])^{nt[/tex]

A = 10,000.00(1 + 0.06/1)⁷

A = 10,000.00(1 + 0.06)⁷

A = $15,036.30

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The function g(x) with a graph that is the reflection of the graph of f(x) = - square root 14x across the x-axis is given as follows:

[tex]g(x) = \sqrt{14x}[/tex]

How to obtain the function g(x)?

The parent function f(x) is defined as follows:

[tex]f(x) = -\sqrt{14x}[/tex]

The rule for a reflection over the x-axis is given as follows:

g(x) = -f(x).

Meaning that only the signal of the function is changed.

Removing the negative signal, the function g(x) is then defined as follows:

[tex]g(x) = \sqrt{14x}[/tex]

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The approximate area (shaded region) of the remaining portion of the circle in square feet is 55.94 ft².

We know that,

the side of square=2*[r*√2/2]=r*√2 that is being taken out.

diameter = 14 ft and radius , r = 7 ft.

the side of square=7*√2=9.89 ft

[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]

[area of a square] = (7√2)²=98 ft²

[ area of a circle] = π*r²= π x 7^2 = 153.94 ft²

therefore,

[area of the remaining portion of the circle]=153.94 - 98=55.94 ft²

the answer is 55.94 ft².

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The probability of adults using smartphones in meetings or classes as per the randomly selected adults is equal to 0.3375.

Percent of randomly selected adults use smartphones in meetings or classes represents the probability of success 'p' = 37%

= 0.37

1 - p = 1 - 0.37

= 0.63

Number of randomly selected adults use smartphone in meetings or classes represents sample size 'n' = 30

Exactly 19 adults use smartphone represented by x

x = 19

Using binomial distribution :

Required probability is :

P(x) = ⁿCₓ× pˣ × ( 1 - p )ⁿ⁻ˣ

⇒P(x) = [ n! / x! (n - x)! ] × pˣ × ( 1 - p )ⁿ⁻ˣ

Substitute the values

⇒P(19) = [ 30! / 19! (30 - 19)! ] × 0.37¹⁹× ( 0.63 )³⁰⁻¹⁹

⇒P(19) = ( 30!/19! ×11! ) × 0.37¹⁹× ( 0.63 )¹¹

⇒P(19 ) = 0.3375

Therefore, the required probability of selecting exactly 19 adults who use their smartphones in meetings or classes is equal to 0.3375.

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The Healthy People 2030 initiative goals of reducing obesity and promoting a healthy lifestyle.

One change that should be made in school cafeterias is to reduce the number of protein choices. This can be done by decreasing the amount of red meat, poultry, and fish in the cafeteria by at least 50%. The number of vegetarian and vegan options should also be increased. This would reduce the amount of saturated fat and cholesterol that students are consuming and help them to make healthier food choices. It would also help to reduce the environmental impact of the cafeteria by reducing the amount of animal products being consumed. This change would help schools to meet the Healthy People 2030 initiative goals of reducing obesity and promoting a healthy lifestyle.

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A solution for the given system of linear inequalities is the shaded area below the solid line.

How to write and solve the system of inequalities graphically?

In order to write a system of linear inequalities to describe this situation, we would assign variables to the cost of vegetarian meal and cost of meat meal, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the cost of vegetarian meal.Let the variable y represent the cost of meat meal.

Since each vegetarian meal cost $2.25 to make while each meat meal cost $2.75 and Chef Malik can spend no more than $800, a linear inequality which represents this situation is given by;

2.25x + 2.75y ≤ 800

Additionally, Chef Malik wants to serve at least 400 meals;

x + y ≥ 400

Next, we would use an online graphing calculator to graphically solve the system of linear inequalities.

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Complete Question:

Chef Malik decided to spend the grant money to package and deliver his meals to reach more community members. Each vegetarian meal now costs $2.25 to make and each meat meal now costs $2.75. Chef Malik wants to serve at least 400 meals and spend no more than $800.

Write and solve the system of inequalities graphically.

Answer: Infinite Solutions

Step-by-step explanation:

Answer: This equation has infinite solutions.

Step-by-step explanation: There are all real numbers on both sides of the equation. I hope this helps!

To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

Calculate the volume of water

To calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.

In this case, the radius of the pipe is 2 inches / 2 = 1 inch, and the length of the pipe is 1/4 mile = 1320 feet (since there are 5280 feet in a mile).

So the volume of the pipe is: V = πr^2h = 3.14 x (1 inch)^2 x 1320 feet = 4201.6 cubic inches.

Since there are 231 cubic inches in a gallon, the number of gallons of water in the pipe is: 4201.6 cubic inches / 231 cubic inches/gallon = 18.2 gallons.

To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

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Answer:

Mixed Number: [tex]\frac{7}{2}[/tex]

Regular [tex]3\frac{1}{2}[/tex]

Explantion \/ \/

Answer: t = 10.50c

Step-by-step explanation: The relationship between the number of climbs, c, and the total cost, t, is proportional. This means that the ratio of t to c is constant. One way to represent this relationship is through an equation of the form:

t = kc

where k is a constant of proportionality. In this case, we know that 5 climbs cost $52.50, so we can use this information to find the value of k:

52.50 = k(5)

k = 52.50/5 = 10.50

So the equation that represents the total cost, t, of c climbs is:

t = 10.50c

Where t is the total cost, c is the number of climbs and 10.50 is the constant of proportionality.

Volume of the cone with height 18 meters and radius 'r' is given by :

a. Equation to represents the volume of the cone is 6πr²( cubic meters).

b. Three possible examples:

r (meters ) : 2 4 6

V (cubic meters ) : 24π 96π 216π

Height 'h' of the cone is 18meters.

Radius of the cone is 'r' meters.

a. Equation to represents volume of a cone as function 'r'

Volume 'V' of the cone is = ( 1 / 3 )π ×r² × h

Substitute value h = 18 meters we get,

V = ( 1 / 3 )π ×r² × 18

⇒ V = 6πr² cubic meters

b. Three possible examples for different values of 'r'

When r = 2

V = 6π × ( 2)²

⇒ V = 24π cubic meters

When r = 4

V = 6π × ( 4)²

⇒ V = 96π cubic meters

When r = 6

V = 6π × ( 6)²

⇒ V = 216π cubic meters

Therefore, the required volume of the cone with radius 'r' and height 18meters is:

a. Equation to represents volume is 6πr².

b. Table completion:

r (meters ) : 2 4 6

V (cubic meters ) : 24π 96π 216π

The above question is incomplete , the complete question is:

There are many possible cones with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.

a. Write an equation that represents the volume V as a function of the radius r.

b. Complete this table for the function, giving three possible examples.

r : 2 _ _

V: ? ? ?

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The percent of error is 17.65% .

The percent of error is a way to measure the difference between the expected value and the actual value. In this case, Peter expected to earn $425 in a week but he actually earned $500.

So, the difference between the expected value and the actual value is $75. The percent of error is calculated by taking the difference between the actual value and the expected value, dividing that by the expected value, and multiplying the result by 100%.

In this case, (500-425)/425*100% = 17.65%, which means that Peter's actual earnings were 17.65% higher than what he expected to earn.

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:y=25 x 2 -8

Step-by-step explanation:

25 x 2-8

Answer:
X = 5
X = 1

Step-by-step explanation:

Answer:

x = 5, x = 1

Step-by-step explanation:

We can first figure out what digits add to -6 and multiply to 5.

In this case, -5 and -1 will add to -6, and -5 times -1 will equal to 5.

Therefore, we can create this equation:

y = (x-5)(x-1)

Since the problem asks for the solutions, we need to set the equation equal to 0:

(x-5)(x-1) = 0

This will be set to two other equations:

(x-5) = 0

(x-1) = 0

We can solve these:

x = 5

x = 1

(Typically, we can use the diamond method and/or box method to solve these equations)

The area of the shaded region is 251 m^2.

the solution is attached with this,

parallelograms

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.

The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

It is a type of polygon having four sides, where the pair of parallel sides are equal in length.

polygon

A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.

The points where two sides meet are the vertices of a polygon.

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Step-by-step explanation:

To find the factor by which the dimensions of cylinder A were multiplied to produce the corresponding dimensions of cylinder B, we can use the fact that they are similar solids. This means that the ratio of corresponding dimensions is the same for both cylinders.

Since the base of cylinder A has a circumference of 4π units and the base of cylinder B has an area of 9π units, we can use these measurements to find the ratio of the radii of the two cylinders.

The circumference of a circle is given by 2πr, where r is the radius, so the radius of cylinder A is 4π/2π = 2 units.

The area of a circle is given by πr^2, so the radius of cylinder B is sqrt(9π/π) = sqrt(9) = 3 units.

The ratio of the radius of cylinder A to cylinder B is 2/3. Since similar solids have the same ratio for all dimensions, this means that the dimensions of cylinder A were multiplied by a factor of 2/3 to produce the corresponding dimensions of cylinder B.

The value of the 47th term of the given arithmetic sequence is -55.7

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same.

We are given the explicit rule for an arithmetic sequence as follows -

[tex]a_n[/tex] = 8.7 - 1.4(n-1)

We have to find the value of the 47th term in the series.

So, we have the value of n = 47

The equation will become -

[tex]a_{47}[/tex] = 8.7 - 1.4(47-1)

[tex]a_{47}[/tex] = 8.7 - 1.4(46)

[tex]a_{47}[/tex] = 8.7 - 64.4

[tex]a_{47}[/tex] = -55.7

Thus, the value of the 47th term of the given arithmetic sequence is -55.7

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Answer:

see below

Step-by-step explanation:

11: write 3 equiv ratio of 1:3, so it' could be 3:9, 2:6, 4:12

12. 20:15 = 4:3, 12:9, 8:6

Answer: A function that increases by a factor of 10 over every unit interval in x and starts at f(0)=1 could be represented by the function rule f(x) = 10^x.

This function starts at f(0) = 10^0 = 1 and for every increase of 1 in the input x, the output f(x) increases by a factor of 10. For example:

f(1) = 10^1 = 10

f(2) = 10^2 = 100

f(3) = 10^3 = 1000

and so on.

Another possible function rule could be f(x) = 10x +1 it starts at f(0) = 1 and for every increase of 1 in the input x, the output f(x) increases by a factor of 10. for example:

f(1) = 101 +1 = 11

f(2) = 102 +1 = 21

f(3) = 103 +1 = 31

and so on.

Both functions have similar behavior and answer the given conditions.

Step-by-step explanation:

see attachment..........

hope it helps<3

A conversion of this equation in standard form to slope-intercept is y = 4x/5 - 3.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.

Based on the information provided about the line, it is represented by this equation;

8x + 10y = -30

Making y the subject of formula in the above equation, we have the following:

10y = 8x - 30

y = 8x/10 - 30/10

y = 4x/5 - 3

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Answer:

1,3,5,15

Step-by-step explanation:

A factor cannot be greater then the number itself so we can scratch 30 and 45. 15 is divisible by itself and 1, as every other number. 2 is not a factor of 15 because 15 is not even. Also not 9. But it does have factors 5 and 3 because 5×3=15.

Hope that helps, let me know if you have any further questions!

The final cost for the tile was $208 − $52 = $156.

An example of an algebraic equation?

An algebraic equation is a statement of the equality of two expressions and is calculated by applying the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root to a set of variables. Examples include x3 + 1 and (y4x2 + 2xy - y)/(x - 1) = 12.Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.

208/8 = x/2

8x = 416

x = 416/8

x = 52

The price for the two unopened cases was $52.

Thus, The final cost for the tile was $208 − $52 = $156.

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The rational exponent form is 5^3/5x. Option D

What is the rational exponent form?

We know that a rational function would be the function that does not have the radical sign in it. We can see that we have the expression that have been written for us here as; 5√125x^5.

When we open up the radical we would have;

125^1/5 * 5^5/5

But we know that;

125 = 5^3

We now have;

5^3/5 * x

This becomes;

5^3/5x

Thus we are going to end up in the rational exponent form of the expression as 5^3/5x.

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Answer: 5s + 28.3

Step-by-step explanation:

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.

[tex]\cfrac{h}{2}=\cfrac{8}{h}\implies h^2=16\implies h=\sqrt{16}\implies h=4[/tex]