The sum of two complementary angles is 90° for one pair of  complementary angles the measure of the first angel is 15 less then twice the measure of the second angel write a system of equations that can be used to determine the measure of the first angle a and the measure of the second angle b

Answer:

$318.70

Step-by-step explanation:

To find the cost of one boxed lunch, we can divide the total cost of the 8 boxed lunches by the number of boxed lunches: 99.60 / 8 = $12.45.

To find the cost of 26 boxed lunches, we can multiply the cost of one boxed lunch by the number of boxed lunches: 26 * $12.45 = $<<26*12.45=318.70>>318.70. Answer: \boxed{318.70}.

Answer:

Step-by-step explanation:

I graphed this system on Desmos because it's easier. The solution they have (the intersection- the point where they both touch at the same time-) is at point (1,9) ...

The value of the expression (3x - 12) + (xy - 10) is 14.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given expression:

(3x - 12) + (xy - 10).

To find the value of expression when x = 4 and y = 6:

Substitute the value of x and y to the expression,

(3x - 12) + (xy - 10)

= {3(4) - 12} + {(4)(6) - 10}

First, we solve the parenthesis.

= {12 - 12} + {24-10}

= {0} + {14}

= 0 + {14}

=  {14}

= 14

Therefore, the value is 14.

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Answer:

Given: △ABC, m∠A=120°, AB=AC=1 Find: The radius of circumscribed circle

Step-by-step explanation:

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Answer:

If the temperature cooled by 4° on the first day of the year, and then heated up 7° on the second day, the net change in temperature would be a 3° increase. This means that the temperature increased by a total of 3° over the two days.

Step-by-step explanation:

On the first day of the year, the temperature starts at a certain degree (let's call it X).

On the same day, the temperature cools by 4°. This means that the temperature becomes X - 4°.

On the second day of the year, the temperature starts at X - 4° (the temperature from the previous day).

On the second day, the temperature heats up by 7°. This means that the temperature becomes (X - 4°) + 7° = X + 3°.

The net change in temperature over the two days is X + 3° - X = 3°.

I hope this helps to clarify the example! Let me know if you have any further questions.

If two figures are the same shape and the same size, then the figures are Congruent.

Those figures that are exactly the same size and shape are said to be congruent.

Additionally, if the dimensions of one of the figures match those of its mirror image, it will also be true.

Additionally, two figures are said to be congruent if they entirely overlap when one is placed over the other and the top figure cannot be seen through the bottom.

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Answer:

d.) 100

Step-by-step explanation:

To solve, first find the value of g(-2):

[tex]g(-2)=5(-2)\\g(-2)=-10[/tex]

Next, use this value to find f(-10):

[tex]f(-10)=(-10)^2\\f(-10)=100[/tex]

The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:

2y - 4x = -10.

A system of equations is called inconsistent when the number of equations of the system is of zero.

The system in this problem is composed by linear equations, which have the following format:

y = mx + b.

In which:

For inconsistent system, we have that the equations:

The function in this problem is given as follows:

y = 2x + 5.

Hence the inconsistent system is formed with:

2y - 4x = -10.

Which is simplified by 2 as follows:

y - 2x = -5.

y = 2x - 5.

Having the same slope of 2, but a different intercept.

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Answer: 2y – 4x = –10

Step-by-step explanation: trust.

For the given congruent triangles, the values of x = -1 and y = 3.

Two triangles are congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other.

The congruence symbol is "≅".As both the triangles are congruent therefore their corresponding sides will be equal.

3y + x = y + 5 ...........(1)

y - x = x + 5 ..............(2)

Equation

1:3y + x = y + 5

3y - y = 5 - x

2y = 5 - x

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

Substitute this value of x in equation (2)

y - x = x + 5 y = x + x + 5y

= 2x + 5 y = 2(5 - 2y) + 5y

= 10 - 4y + 54y + y = 15

5y = 15 y = 15/ 5

y = 3

Substitute this value of y in equation (3) x = 5 - 2(3) = 5 - 6 = -1

Therefore, x = -1 and y = 3

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The equation of the line is y = x/4 + 13/2 .

A line's slope, sometimes referred to as its gradient in mathematics, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1/4

And (x₁ ,y₁)  =  (-2,6)

then the equation of line is

y - y₁ = m (x - x₁)

y - 6 = (1/4) (x +2)

y = x/4 + 13/2

Therefore, the equation is y = x/4 + 13/2.

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ANSWER : -1 , 3 , (-1 - 2i) , (-1 + 2i)

steps

find the zeros JUST MEANS SOLVE FOR X

x⁴-2x²-16x-15=0

break it up

let u = x²

x⁴ = (x²)² = u²

-16x+u²-2u-15=0

hold off on -16x

u²-2u-15=0

what 2 numbers when multiplied give you -15 & when added give you -2?

-5 and 3

(u-5) (u+3)

-16x + (u-5) (u+3) = 0

go back x

-16x + (x²-5) (x²+3) = 0

factor -1 out

( looks horrible so far lol )

-1 ((- x²+ 5) (x²+3) + 16x) = 0

multiply (- x²+ 5) with ( x² + 3 )

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² * x² + -x² * 3 ) + 5x² + 15 ) + 16x ) = 0

-1 (( - x⁴ + -2x² + 15 ) + 16x ) = 0

Answer: 8,400 milliliters of gas

Step-by-step explanation:

1 liter = 1000 milliliter

8.4 Liters x 1000

= 8,400 milliliters

The answer is 8400 millileters

The rate of change is $2500 per year.

The initial amount is $5000.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

In the given graph,

The initial value that deposited at x = 0 is $5000.

To find the rate of change in amount per year,

Find slope of the line, because rate of change will be equal to slope.

Let two points are (0, 5000) and (1, 7500)

The slope = (7500 - 5000 / 1 - 0) = 2500

The rate of change is $2500 per year.

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we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266[/tex]

Answer:

Step-by-step explanation:

The pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

What is linear inequality?

A linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

y < -5x + 1

Substitute the points and see if they are true

(3, 6)

6 < -5*(3) + 1

6 < -15 + 1

6 < -14  

Not true not a solution

Hence, the pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

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The expected value and the standard error for a labor participation rate in the company's sample is 0.0043

In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.

The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).

A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.

We have to find the expected value and the standard error for a labor participation rate in the company's sample.

Working age people sample n = 120

The labor force participation rate in the United States was 66.9% = 0.669

The Expected value is μ = p = 0.669

The standard error:

SE = √p(1-p)/n

SE = √0.669(1-0.669)/120

SE = √0.669*0.331/120

SE = √0.2214/120

SE = √0.001845

SE = 0.043

Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.

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Answer:

The answer is 2990.8

Step-by-step explanation:

Answer:

volume = 980π = 3078.790801  

Step-by-step explanation:

14 ÷ 2 = 7 = radius

π x [tex]r^{2}[/tex]=  = 49π = area

area x 20 = volume

volume = 980π = 3078.790801  

The functions for this problem are classified as follows:

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For the land function, the rates are given as follows:

The differences are given as follows:

Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.

For the car, the rates are given as follows:

The differences are given as follows:

Again less change on the differences, hence also linear.

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A study shows that 70% of the population of a city have brown eyes and 30% do not. The study also shows that 10% of the people who do not have brown eyes do not have brown hair, while 80% of the people who have brown eyes have brown hair. 0.80; Individuals with brown hair. Option C

Generally, The largest marginal relative frequency is 0.80, which corresponds to individuals with brown hair. This means that out of all the individuals in the city, 80% of them have brown hair.

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The statement that is correct based on the data is that the table shows a proportional relationship

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

Mango Used Smoothie Size

Kim 1 8 oz

Bri 3 24 oz

Angela 4 32 oz

Express  properly

So, we have

        Mango Used Smoothie Size

Kim         1                       8 oz

Bri           3                       24 oz

Angela    4                        32 oz

Start by checking if the table has a constant rate

This is represented as

Constant rate = Smoothie Size/Mango Used

So, we have

Constant rate = 8/1 = 8

Constant rate = 24/3 = 8

Constant rate = 32/4 = 8

See that the constant rate is the same for all values

Hence, the table shows a proportional relationship

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The area of the given figure is 52.26 ft².

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given question,

The radius of semicircle r = 3 ft.

Height of the triangle = 4 ft.

Lateral side of triangle = 5 ft.

And the base of triangle = 2 x 3 = 6 feet

To find the area of the given figure, individually find area of semicircle and triangle.

Area of semicircle = π x r² = 3.14 x 3 × 3 = 28.26 square feet.

Area of triangle having height 4 feet and base 6 feet.

Area of triangle = base x height = 4 x 6 = 24 square feet.

The Area of the whole figure = Area of semicircle + area of triangle

                                  = 28.26 +24

                                  = 52.26 ft²

The required area of figure is 52.26 ft².

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A study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. The study design being used is a randomized controlled trial (RCT).

Generally,  In an RCT, the study participants are randomly assigned to either the intervention group or the control group. This helps to ensure that any differences between the two groups are not due to preexisting differences between them, but rather are due to the intervention being tested.

In this case, the intervention is a daily exercise intervention, and the outcome being measured is blood pressure among people with pre-hypertension.

The control group serves as a comparison group, and any changes in blood pressure observed in the intervention group can be attributed to the intervention rather than other factors.

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Answer:

a. four and thirty four thirty fifths

The formula to solve for height(h) is given as, if the volume of the cylinder is, V = π r² h, is h = V /  π r².

An object's volume is a measurement of the amount of space it occupies in three dimensions. This indicates that an elephant's volume is more than a mosquito's volume.

Given:

V = π r² h

Here, r is the radius of the cylinder, V is the volume, and h is the height of the cylinder. The value of π is 3.14.

Take the remaining term of the right side to the left as shown below,

V /  π r²  = h

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The graph of the trapezoid is shown below. The area is calculated as: D. 40 square units.

To find the area of a trapezoid, the formula used is given below:

Area of a trapezoid = 1/2 * (a + b) * h, where,

The trapezoid BATS with the following vertices, B (-4, 2), A (-2, 6), T (6, 6), S (8, 2), ahs been plotted in the graph shown in the image attached below.

1 unit = 1 box, therefore, we have the following:

a = length of AT = 8 units.

b = length of BS = 12 units

h = 4 units

Plug in the values:

Area of trapezoid BATS = 1/2 * (8 + 12) * 4

Area of trapezoid BATS = 1/2 * (20) * 4

= 10 * 4

Area of trapezoid BATS = 40 square units.

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Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

Answer:

1. x = {-3, 3}

2. a = {-12, -2}

3. v = {-7, 10}

4. m = {-8, 8}

5. k = {-11, 1}

6. y = {-13, 19}

Step-by-step explanation:

|-2x| = 6

means that

-2x = 6     or      -2x = -6

x = -3        or      x = 3

|a + 7| = 5

means that

a + 7 = 5    or      a + 7 = -5

a = -2        or      a = -12

|8v-12| = 68

means that

8v-12 = 68     or      8v-12 = -68

8v = 80        or      8v = -56

v = 10            or      v = -7

| m / -4 | + 1 = 3

| m / -4 | = 2

means that

m/-4 = 2     or      m/-4 = -2

m = -8        or      m = 8

3|k + 5| = 18

|k+5| = 6

means that

k + 5 = 6    or      k + 5 = -6

k = 1        or      k = -11

|2y - 6| / 4 = 8

|2y - 6| = 32

means that

2y - 6 = 32     or      2y - 6 = -32

y = 19        or      m = -13

Explanation:

All of the polynomials listed are quadratic polynomials, which have the general form ax^2 + bx + c, where a, b, and c are constants and x is a variable. A polynomial is considered prime if it cannot be factored into the product of two or more polynomials with integer coefficients.It is not possible to determine whether any of the given polynomials are prime without further information, such as the values of the constants a, b, and c. For example, the polynomial x^2 + 7 could be prime, but it could also be factored into the product of two linear polynomials (x + 3)(x + 3), which would make it composite. Similarly, the polynomial x^2 - 25 could be prime, but it could also be factored into the product of two polynomials of the form (x + 5)(x - 5), which would make it composite. Without more information, it is not possible to determine whether any of the given polynomials are prime.