find the missing angle. Find x. PLEASE HELP!

options:
70°
20°
180°

Answer:

Step-by-step explanation:

Simplifying

8x + 5y = 27.15

Solving

8x + 5y = 27.15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

8x + 5y + -5y = 27.15 + -5y

Combine like terms: 5y + -5y = 0

8x + 0 = 27.15 + -5y

8x = 27.15 + -5y

Divide each side by '8'.

x = 3.39375 + -0.625y

Simplifying

x = 3.39375 + -0.625y

Answer:

Infinite solutions

Step-by-step explanation:

There is no one right answer, plug in numbers for x and you will see

y = -8/5(x) + 27.15/5

QUESTION :

ANSWER :

HOPE IT HELPS YOU

Answer:

The bank could repossess the property.

Step-by-step explanation:

Took the exam.

Answer:

The bank will reposses

Step-by-step explanation:

Answer:

[tex]0.00375\ \text{inches}[/tex]

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

[tex]l=11\ \text{inches}[/tex]

[tex]w=8.5\ \text{inches}[/tex]

Let [tex]h[/tex] be the height of the stack.

Volume of the stack would be

[tex]lwh=140.25\\\Rightarrow h=\dfrac{140.25}{lw}\\\Rightarrow h=\dfrac{140.25}{11\times 8.5}\\\Rightarrow h=1.5\ \text{inches}[/tex]

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

[tex]\dfrac{1.5}{400}=0.00375\ \text{inches}[/tex]

Hence, the height of each sheet of paper is [tex]0.00375\ \text{inches}[/tex].

Answer:3/6

Step-by-step explanation:

Sorry if it’s wrong ‍♂️

Answer:

A. The cost is $45 per person.

Step-by-step explanation:

Divide $90 by 2 persons. It gives you $45 and so you could multiply $45 by x number of persons to see the total cost.

Survey every 4th student who walks into the cafeteria.

Answer:

8 and 4

Step-by-step explanation:  have a good day g

Answer:

Step-by-step explanation:

if C is the right angle,

AB is the hypotenuse

AB^2=AC^2+BC^2

AC^2=13^2-5^2

AC^2=169-25=144

AC=[tex]\sqrt{144}[/tex]=12

AC=12

Answer:

81 is the right answer of your question

Answer:

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Step-by-step explanation:

x > 2 is the inequality

It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2

------------------

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Yes, this is the correct option

A number line going from negative 3 to positive 7. An open circle is at 2.  Everything to the left of the circle is shaded.

No, it should be right not left

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.

No, it should be open circle as 2 is not included

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

No, it should be open circle and right side to be shaded, not left

Step-by-step explanation:

The correct graph that represents the inequality "x > 2" is:

a) A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

In the inequality "x > 2," the symbol ">" represents "greater than." This means that we are looking for values of x that are greater than 2.

On a number line, we can represent all the possible values of x. The number line given in option a) ranges from negative 3 to positive 7, covering a range of values.

To represent the condition that x is greater than 2, we need to place a circle on the number line at the value 2.

Since the inequality is strict ("x > 2"), we use an open circle at 2.

An open circle indicates that the point 2 itself is not included in the solution.

Finally, everything to the right of the open circle should be shaded to indicate that any value greater than 2 is a solution to the inequality.

This shading represents all the values of x that satisfy the inequality "x > 2."

Therefore, option a) is the correct graph that represents the inequality "x > 2."

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Answer:

(a) The equation for the number of bacteria at time t ≥ 0 is [tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The average population in the bacteria for 0 ≤ t ≤ 10 is 29,482 bacteria

(c)  The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Step-by-step explanation:

(a) The given rate of growth of the bacteria population is;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

The initial amount of bacteria = 200

At time, t ≥ 0, we have;

[tex]\dfrac{dy}{y} = 0.5 \cdot dt[/tex]

[tex]\int\limits {\dfrac{dy}{y} } = \int\limits {0.5} \, dt[/tex]

ln(y) = 0.5·t + C

[tex]y = e^{0.5 \cdot t + C}[/tex]

[tex]y = C_1 \cdot e^{0.5 \cdot t }[/tex]

When, t = 0, y = 200, we have;

[tex]200 = C_1 \cdot e^{0.5 \times 0 } = C_1[/tex]

C₁ = 200

The equation for the number of bacteria at time t ≥ 0 is therefore given as follows;

[tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The expression for the average number of bacteria in the population for 0 ≤ t ≤ 10 is given as follows;

[tex]y = \int\limits^t_0 {0.5 \cdot y} \, dt[/tex]

[tex]y = \int\limits^{10}_0 {0.5 \cdot 200\cdot e^{0.5 \cdot t }} \, dt = \left[200\cdot e^{0.5 \cdot t }\right]^{10}_0 \approx 2,9682.6 - 200 = 29,482.6[/tex]

The average population in the bacteria for 0 ≤ t ≤ 10 is therefore, y = 29,482

(c)  The average rate of growth after 10 hours of growth is given as follows;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

[tex]\dfrac{dy}{dt} = 0.5 \cdot 200\cdot e^{0.5 \cdot 10 } = 14,841.32 \ Bacteria/hour[/tex]

The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Population functions can either represent growth or decays.

The given parameter is:

[tex]\frac{dy}{dt}= 0.5y[/tex]

(a) Solve for y

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Integrate both sides

[tex]\int \frac{dy}{dt}= \int 0.5y[/tex]

Divide both sides by y, and multiply both sides by dt

[tex]\int \frac{dy}{y}= \int 0.5\ dt[/tex]

Integrate both sides of the equation

[tex]\ln(y) = 0.5t +c[/tex]

Take the exponent of both sides

[tex]y = e^{0.5t +c}[/tex]

This gives

[tex]y = ce^{0.5t}[/tex]

When t = 0, and y = 200.

So, we have:

[tex]200 = ce^{0.5 \times 0}[/tex]

[tex]200 = ce^{0}[/tex]

Evaluate the exponent

[tex]200 = c[/tex]

Rewrite as:

[tex]c = 200[/tex]

Substitute 200 for c in [tex]y = ce^{0.5t}[/tex]

[tex]y = 200e^{0.5t}[/tex]

Hence, the equation for y is [tex]y = 200e^{0.5t}[/tex]

(b) The average number of bacterial for 0 ≤ t ≤ 10.

The average value of the function is calculated as:

[tex]y' = y(10) - y(0)[/tex]

Calculate y(0) and y(10)

[tex]y = 200e^{0.5t}[/tex]

[tex]y(0) = 200e^{0.5(0)}= 200[/tex]

[tex]y(10) = 200e^{0.5\times 10} =29682.6318205[/tex]

So, we have

[tex]y' = y(10) - y(0)[/tex]

[tex]y' = 29682.6318205 - 200[/tex]

[tex]y' = 29482.6318205}[/tex]

[tex]y' = 29483[/tex]

Hence, The average number of bacterial for 0 ≤ t ≤ 10 is 29483

(c) The average rate over the first 10 hours of growth

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Substitute [tex]y = 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 0.5 \times 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 100e^{0.5t}[/tex]

When t = 10, we have:

[tex]\frac{dy}{dt}= 100e^{0.5 \times 10}[/tex]

[tex]\frac{dy}{dt}= 100e^{5}[/tex]

[tex]\frac{dy}{dt}= 14841[/tex]

Hence, the average rate over the first 10 hours of growth is 14841

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Answer:

Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]

Step-by-step explanation:

According to triangle inequality theorem,

length of one side is less than the sum of remaining two sides.

Also,

[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]

Therefore,

[tex]20<XZ<15+11\\20<XZ<26[/tex]

The length of [tex]XZ[/tex] is in whole centimeters.

Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]

Answer: Carlo is incorrect

Step-by-step explanation:

3000/(2+3) = 600 (each ratio)

2:3 = 2(600):3(600) = 1200:1800

1200/6 = 200 small boxes

1800/20 = 90 large boxes

290 boxes altogether (large and small)

(large boxes/boxes altogether)x100

(90/290)x100 = 31%

31%>30%

Therefore Carlo is incorrect

Answer:

X=9

Step-by-step explanation:

I know this because you can find the answer by doing 28 - 10 which equals 18 and 2 times 9 gets you 18 and would make the equation

( 2 times 9) + 10= 28

18 + 10=28

Answer:

3w² = 243

Step-by-step explanation:

Width = w

Length = 3w

Area = 243 square units

length *width = 243

3w * w = 243

3w² = 243

The equation that you can used to determine the width of the rectangle with the given area is: 3w² = 243

Area = (length)(width)

The given dimensions are:

The equation to se in finding the width (w) of the rectangle will be:

3w(w) = 243

3w² = 243

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Answer:

[tex]f(x) = 1500x +3000[/tex]

Step-by-step explanation:

Given

Represent the months with x and the earnings with y.

So:

[tex](x_1,y_1) = (1,4500)[/tex]

[tex](x_2,y_2) = (2,6000)[/tex]

Required

Determine the linear function

First, calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6000 - 4500}{2 - 1}[/tex]

[tex]m = \frac{1500}{1}[/tex]

[tex]m = 1500[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1500(x - 1) + 4500[/tex]

[tex]y = 1500x - 1500 + 4500[/tex]

[tex]y = 1500x +3000[/tex]

As a function, we have:

[tex]f(x) = 1500x +3000[/tex]

Answer:

37

Step-by-step explanation:

Sin O = Opposite/Hypotenuse = 43/72

O = [tex]Sin^{-1}[/tex](43/72)

O = 36.671 ≅ 37

Answer:

37

Step-by-step explanation:

Answer:

Step-by-step explanation:

i posted this on accident

Answer: the person above has it

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

$14 x 30% (0.30) = $4.2

$14 + $4.2 = $18.2

[tex]\frac{18.2}{4}[/tex] = 4.55

Round to the nearest dollar:

4.55 = 5

Answer:

52.3

Step-by-step explanation:

Sin^-1 = 19/24

Sin = 52.3

Answer:

The difference is -2x10 is basically-2 times x times 10.

Step-by-step explanation:

Cuz i said so

The x values that makes the given inequality true are -10, -9, -8, -7 and -6.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2x>10.

Divide -2 on both the sides of an inequality, we get

x<-5

So, the solution is {.......-10, -9, -8, -7, -6}

Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.

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Answer :

Given : A and B are complementary angles. B and C are complementary angles.

Prove : A C

I have attached a picture of me doing it. Hope this helps, thank you :) !!

Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12