Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

Answer:

D

Step-by-step explanation:

Because the account that gets debited depends on the specific transaction

The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.

What is a linear equation?

A linear equation is an equation that can be written in the form of

y = mx + b

Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.

Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.

Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.

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The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.

Option (D) is correct.

What is a linear equation?

A linear equation is an equation that can be written in the form of

y = mx + b

Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.

Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.

Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.

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Answer:

x = 10, ∠ EHF = 110°

Step-by-step explanation:

7x and 11x are adjacent angles and sum to 180° , then

7x + 11x = 180

18x = 180 ( divide both sides by 18 )

x = 10

∠ EHF = 11x = 11(10) = 110°

Answer:

EHF = 110 deg

Step-by-step explanation:

From what it looks like 7x and 11x are being used as units of measurment. I can asssume a full circle adds up to 36x because 180deg adds up to 18deg.

If there were a number that was supposed to fill in for x it could be 0 because if the angles in this problem were 110 deg and 70 deg they would make 180 deg which is the straight line that the problem has.

Answer:

(820 ; 980)

Step-by-step explanation:

Given :

Sample size, n = 80

Number of bilingual from sample = 36

Sample proportion, phat = x / n = 36 / 80 = 0.45

Margin of Error = 4% = 0.04

Interval = sample proportion ± margin of error

0.45 ± 0.04

(0.41 ; 0.49)

(0.41 * 2000 ; 0.49 * 2000)

(820 ; 980)

Answer:

0.03333333333 she will pull out a strawberry first then 0.00114942528 perfect chance she will get both of them.

Step-by-step explanation:

30 possibilities for the first one and 29 other for the second one

The number of calories Jina is burning per minute is 0.1 and the slope is 0.1

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

Points, (x, y) = (0, 0) and (150, 15)

The burning rate per minute can then be calculated as

Burning rate per minute = (y₂ - y₁)/(x₂ - x₁)

Substitute the known values in the above equation, so, we have the following representation

Burning rate per minute = (15 - 0)/(150 - 0)

Evaluate the quotient

Burning rate per minute = 0.1

In (a), we have

Burning rate per minute = 0.1

This rate is the same as the slope

Hence, the slope is 0.1

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Answer:

this is very hard i have one of this but it might be wrong

Answer:

The answer is a because the sign should be facing right but not be greater than or equal to.

Answer:

WU/VU

Step-by-step explanation:

cos = adj/hyp

since vu is the longest side, we can determine that is the hypotenuse.

angle w is the right ange, so side wu would be the adjacent side.

putting it together, the ratio for cosine of angle u would be wu/vu

Answer:

I think this is how....

Step-by-step explanation:

4x + y = 12

4x + y -y = 12 - y

4x = 12

*divide by 4 on each side*

x = 3

Answer:

The ratio 9 to 12 is greater than 4 to 6.

9/12 = 3/4.

4/6 = 2/3.

3/4 is more.

The real earning of her could be less than $2250 during the year where their parents supported more than half.

What is linear equation ?

linear equation can be defined as the equation in which the highest degree of the exponent is one.

Given

The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,

single and a full-time student away at college.

Lavender earned $4,500 during the year

The real earning of Lavender could be

as her parents supported more than half.

so,

her real earning could be less than $2250

Hence , the real earning of her could be less than $2250 .

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Answer:

3/4 x

Step-by-step explanation:

The rise is 3 and the run is 4, making the slope 3/4 x

The standard form of linear function y = - (1 / 2) · x + 6 is (1 / 12) · x + (1 / 6) · y = 1.

In this question we find a linear function in slope-intercept form:

y = m · x + b

Where:

From which we must obtain the linear function in standard form:

a · x + b · y = c

Where:

We can derive the standard form of the linear equation by algebra properties:

y = m · x + b

(1 / b) · y = (m / b) · x + 1

- (m / b) · x + (1 / b) · y = 1

If we know that m = - 1 / 2 and b = 6, then the equation of the line in standard form is:

- [(- 1 / 2) / 6] · x + (1 / 6) · y = 1

(1 / 12) · x + (1 / 6) · y = 1

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Answer:

b

Step-by-step explanation:

i think b because it makes more sense than a or c

Answer:

maximum height is 80 feet

8 seconds until it hits ground

Step-by-step explanation:

-5t(t - 8) = 0

-5t= 0;  t = 0  (this represents the beginning of the throw)

t-8=0;  t = 8   (this represents the end of the throw)

To find maximum height, find the vertex of the graph,

you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)

x = -40÷2(-5)

x = -40/-10

x = 4

h(4) = -5(4²)+40(4)

h(4) = -5(16) + 160 which is 160 - 80 = 80

Answer:

5n

Step-by-step explanation:

(7^5 * 7^n) ^ 4   = (7^11/7^n)^3

7^(20 + 4n)   =  4.7^15 / n^3

= 20/4 = 5n   and  15/3 = 5n

Answer 5n

Answer:

C. Ferris wheel

Step-by-step explanation:

Circumference = pi x diameter

Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.

70.5 x 3.14 = 221.37

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.

L = 3 + W                ...1

2(L + W) = 58

L + W = 29                ...2

From equations 1 and 2, then we have

3 + W + W = 29

2W = 26

W = 13 cm

Then the length of the rectangle will be given as,

L = 3 + 13

L = 16 cm

The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.

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Answer:

0.243 g/mL

Step-by-step explanation:

Density is grams divided by mL. All you need to do for this is take your values and use them for the equation. Divide 5.7 grams by 23.5 mL

Answer: x=-1/4 and x=-1

Step-by-step explanation:

The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.

The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.

The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:

a=4

b=5

c=1

Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.

Solution 1: addition

[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_1=\frac{-5+3}{8}[/tex]                            [add]

[tex]x_1=\frac{-2}{8}[/tex]                                [divide top and bottom by 2]

[tex]x_1=-\frac{1}{4}[/tex]

Solution 2: subtraction

[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_2=\frac{-5-3}{8}[/tex]                            [subtract]

[tex]x_2=\frac{-8}{8}[/tex]                                [divide]

[tex]x_2=-1[/tex]

I am not able to find the answer choices, but we know that x=-1/4 and x=-1.

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

[tex]AL=\frac{OR+CE}{2}[/tex]

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

[tex]x=\frac{9+5}{2}=7[/tex]

2. AL = m - 4, CE = 15, OR = 17

[tex]m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16[/tex]

3. OR = y + 5, AL = 15, CE = 18

[tex]15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12[/tex]

Answer:

[tex]use \: this \: formula \\ circumference = dimeter \times 3.14 = 2 \times radius \times 3.14 \\ \\ area = 0.25 \times {diameter}^{2} \times 3.14 = {radius}^{2} \times 3.14[/tex]

To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.

Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.

Log Rules:

1. the first rule is logb(mn) = logb(m) + logb(n)

2. the second rule is logb(m/n) = logb(m) – logb(n)

3. the third rule is: log b (mn) = n · logb(m)

1. Multiplication can be turned outside the log into addition and vice versa can be turned.

2. Division can be spin outside the log into a subtraction, and vice versa.

3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.

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Answer:

a = 14.9; b = 11.1

Step-by-step explanation:

SOHCAHTOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

[tex]cos48[/tex]° : adjacent is 10, and hypotenuse is a

    [tex]cos48=10/a; a*cos48=10;a=10/cos48[/tex]

    type 10/cos48 into calculator to get a = 14.9

[tex]sin48[/tex]° : opposite is b, and hypotenuse is a

    [tex]sin48=b/a; sin48=b/14.9; b=14.9*sin48[/tex]

    type 14.9*sin48 into calculator to get b = 11.1