Please find angle q. Thank you!

Answer:

x = 3

Step-by-step explanation:

Side lenght of square = (x + 3)

Side length of equilateral triangle = (3x - 1)

It is Given that:

Perimeter of square = Perimeter of equilateral triangle

4 times side length of square = 3 times side length of equilateral triangle.

[tex] \therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}[/tex]

Answer:

Step-by-step explanation:

x-intercept is for y = 0

y-intercept is for x = 0

Substitute

For y = 0

-6x + 21 = 0    |subtract 21 from both sides

-6x = -21       |divdie both sides by (-6)

x = -21/(-6)

x = 21/6

x = 3.5

For x = 0

y = -6(0) + 21

y = 0 + 21

y = 21

By 2 = 2290

By 3 = about 1526.6667 or you can just write 4580/3

By 5 = 916

By 9 = about 508.8889

By 10 = 458

The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

In other meaning, standard deviation shows the deviation of the value of data from the mean.

Standard deviation is how much-given data is deviate from the mean of it.

So the difference between the longest to shortest gives an idea about this deviation.

Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".

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Answer:

It would have started to be filled at 10 cm

Step-by-step explanation:

FInd teh difference between 8 and 2 which is 6

Find the difference between 34 and 16 which is 18

Divide 18 by 6 which is 3

Subtract 2(3) = 6 by 16 which is 10

Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Henry is filling up his fish tank with water at a constant rate.

At 2 minutes the water level is 16 cm.

At 8 minutes the water level is at 34 cm.

We know that the linear equation

[tex]\rm y = mx +c[/tex]

Where

m be the rate of filling water in the tank.

c be the initial water in the tank.

y be the water level of the tank in cm.

x be the time in minutes.

At 2 minutes the water level is 16 cm. Then

[tex]\rm 16 = 2m + c[/tex]  ...1

At 8 minutes the water level is at 34 cm. then

[tex]\rm 34 = 8m +c[/tex]   ...2

From equations 1 and 2, we have

m = 3, and c = 10

Then the equation will be

[tex]\rm y = 3x + 10[/tex]

For x = 0, then y = 10

Thus, the water level at 0 minutes is 10 cm.

More about the linear system link is given below.

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Answer:

what is the question you need done..?i cant see the question

Answer:

Step-by-step explanation:

-x + 9x = -4

8x = -4

x = -4/8

x = -1/2

Answer:

P(19)=$19,852

To the nearest dollar.

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.

Substituting into the general equation:

[tex]12,000=6,000(1+r)^{11}[/tex]

Dividing by 6,000 and swapping sides:

[tex](1+r)^{11}=2[/tex]

Taking the 11th root:

[tex]1+r=\sqrt[11]{2}[/tex]

[tex]1+r=1.065[/tex]

Substituting into the formula:

[tex]P(t)=6,000(1.065)^t[/tex]

Now we need to find the money in the account after t=19 years:

[tex]P(19)=$6,000(1.065)^{19}[/tex]

P(19)=$19,852

To the nearest dollar.

Answer:

a)-27/20

Step-by-step explanation:

3/5 ÷ (-4/9)

3/5 × (-9/4)

-27/20

Hope it will help

Answer:

C. x = Negative seven over one hundred thirty two

Step-by-step explanation:

Solve the following equation.

–4 = seven over thirty-three times x

A. x = one hundred thirty two over seven

B. x = Negative one hundred thirty two over seven

C. x = Negative seven over one hundred thirty two

D. x = Negative thirty three over twenty eight

Answer:

Step-by-step explanation:

If you factor out the greatest common factor (4), your expression should be

4 (x^2 + 4x - 1)

Answer:

[tex]4(x^2+4x-1)[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To solve for the slope:

(2-(-3))/(4-2)=5/2

y=5/2x+b

plugin points:

2=5/2(4)+b

2=10+b

b=-8

so equation of the line is y=5/2x-8

and in standrd form its 5x-2y=16

Answer:

11 hours

Step-by-step explanation:

I hope this help!

Answer:

Step-by-step explanation:

Solving for x

The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]

We can observe that the polynomial has a common factor of (x - 1).

By dividing the polynomial by (x - 1), we can simplify the equation:

[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]

Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]

To find the solutions, we set each factor equal to zero and solve for x.

Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]

Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]

Using factoring or the quadratic formula, we find the roots of the quadratic equation:

[tex]x^2 - 6x - 7 = 0[/tex]

[tex](x - 7)(x + 1) = 0[/tex]

Setting each factor equal to zero:

[tex]x=7[/tex] and [tex]x=-1[/tex]

Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

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The slope intercept form of the given equation y + 9 = 3(x - 1)  is

y =3x-12 .

The slope intercept is a form of two variable linear equation in x, y is given by

y = m x + c

y is y coordinate, x is x coordinate , m is called slope , c is y intercept

For the given equation

y + 9 = 3(x - 1)

⇒ y + 9 = 3x -3

Subtracting 9 from both sides of this equation, we get

⇒ y+9-9 = 3x-3-9

⇒ y = 3x - 12

This is the slope intercept form with m = 3 and c = -12

Therefore , the slope intercept form of the equation y + 9 = 3(x - 1)  is

y =3x-12

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Use the polynomial remainder theorem. It says that a polynomial [tex]f(x)[/tex] has remainder [tex]f(c)[/tex] upon division by [tex]x-c[/tex].

Here we have

[tex]f(x)=x^4+3x^3-8x^2+5x-9[/tex]

and [tex]c=-5[/tex], so the remainder is

[tex]f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}[/tex]

Answer:

Step-by-step explanation:

Perimeter of a rectangular wall P = 2L+2W

L is the length of the wall

W is the width

Given

P = 148feet

If the width is two more than seven times the length, this is represented as

W = 7L+2

Substitute W = 7L+2 into the formula above

P = 2L + 2(7L+2)

P = 2L +14L+4

P == 16L+4

148 = 16L+4

16L = 148-4

16L = 144

L = 144/16

L = 9

To get the width

W = 7L+2

W = 7(9)+2

W = 63+2

W = 65feet

Hence the width of the rectangular wall is 65feet

y = 2.5x

I hope this helps

The required equation is y=2.5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Earning of app developer for 8 apps = $20.00

Earning of app developer for 1 app = $2.5

Earning of app developer for x app = $2.5x

Assume, earning of app developer for x app is y

So the equation,

Earning of app developer y=2.5x

The required equation is y=2.5x.

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Answer:

8 3/4 ?

Step-by-step explanation:

divide

srry if its not what your looking for

Answer:

a. I, III, II

Step-by-step explanation:

To answer this question, lets take a look at I, II, and III.

First, lets take a look at I. It states that the m∠SQT = 180 by the definition of a straight angle. We can get that the m∠SQT = 180 just by looking at the image and by knowing our second given. So I just has to be below the second given.

Now, lets take a look at II. It states that m∠SQV + m∠VQT = 180 by the Substitution Property of Equality. We can find that m∠SQV + m∠VQT = 180 just by looking at the image along. But knowing that it is found by the Substitution Property of Equality, we can find that m∠SQV + m∠VQT = 180 was derived from the fact that m∠SQT = 180 and that m∠SQV + m∠VQT = m∠SQT, or I and III. So II was derived from I and III, and II should come after I and III.

Now lets look at III. It states that m∠SQV + m∠VQT = m∠SQT by the Angle Addition Postulate. Since III is found by the Angle Addition Postulate, we can find that III was derived from I, and III should come after I.

So knowing that II should come after III and I, and that III should come after I, we can find that the order should be I, III, II.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

straight line and it needs to go through the origin

Answer:

slope: 0

y intercept: (0, 7)

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Step 1: Write inequality

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Step 3: Find

-10 ≥ -2? No

-5 ≥ -2? No

-3 ≥ -2? No

-1 ≥ -2? Yes

Given parameters:

Mass of the earth = 5.9726 x 10²⁴kg

Mass of  percent water on earth  = 5 x 10⁻⁴% of the total mass of the earth

Unknown:

Mass of water on earth = ?

Solution

This is pretty straight forward;

     Mass of water on earth  = mass percent of water x mass of earth

Input the parameters and solve;

    Mass of water on earth  = [tex]\frac{5 x 10^{-4} }{100}[/tex]  x 5.9726 x 10²⁴

                                           = 5  x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴

                                           = 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴

                                           = 29.863 x 10¹⁸kg

                    or 2.9863 x 10¹⁹kg

Mass of water on earth is 2.9863 x 10¹⁹kg

Answer:

8

Step-by-step explanation:

Step 1:

4x - 3 = 2x + 13        Equation

Step 2:

4x = 2x + 16     Add 3 on both sides

Step 3:

2x = 16     Subtract 2x on both sides

Step 4:

x = 16 ÷ 2     Divide

Answer:

x = 8

Hope This Helps :)

Answer:

x=8

Step-by-step explanation:

4X-3=2x+13

   +3.      +3

4X=2x+16

-2x.  -2x

2x=16

/2.   /2

x=8

Answer:

See below

Step-by-step explanation:

[tex]2(4x + 1) = 4(2x + 5)[/tex]

[tex]8x + 2 =8x + 20[/tex]

[tex]\nexists x \in \mathbb{R} \text{ That makes the equality true}[/tex]

The equation has no solution because no matter what the value we plug for [tex]x[/tex] in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

Answer:

The answer would be -3.5.(-6). 4

Step-by-step explanation: