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Answer:

w = - 15

Step-by-step explanation:

Assuming you mean

[tex]\frac{w+3}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )

w + 3 = - 12 ( subtract 3 from both sides )

w = - 15

Answer:

w= -5

Step-by-step explanation:

w+3/3= -4

w= -4-1... which is  (-4) + (-1) so,

w= -5

Answer:

Step-by-step explanation:

value of discriminant:

[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]

As the value of discriminant is larger than zero, so there are 2 distinct solutions.

2 solutions also mean there are 2 x-intercepts.

Answer:

y = 1/2x + 2

Step-by-step explanation:

The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2

Hope that helps and have a great day!

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

To find the equation for the line, lets try to find the slope and y-intercept of the line.

From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.

The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.

So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in we get

[tex]y=\frac{1}{2}x+2[/tex]

And now we have the equation of the line.

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

Answer:

the real part is part of -12i is 0

The system of equations which can be used to model the scenario are :

Let :

Worth of nickels and dimes:

The total worth of nickel and dimes can be expressed thus :

Therefore, the systems of equation required are :

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Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

Answer:

16 v^3 w^7

Step-by-step explanation:

Simplify the following:

4 v^3 w (-2 w^3)^2

Hint: | Distribute exponents over products in (-2 w^3)^2.

Multiply each exponent in -2 w^3 by 2:

4 v^3 w×(-2)^2 w^(2×3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4×(-2)^2 v^3 w w^6

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

4×4 v^3 w w^6

Hint: | Combine products of like terms.

4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):

4×4 v^3 w^(1 + 6)

Hint: | Evaluate 1 + 6.

1 + 6 = 7:

4×4 v^3 w^7

Hint: | Multiply 4 and 4 together.

4×4 = 16:

Answer: 16 v^3 w^7

Answer:

C. 6(4) + n

Step-by-step explanation:

Six

6

Times the quantity of four

(4)

Plus a number

+n

The phrase that best represents six times the quantity of four plus a number is 6(4) + n.

A numerical expression is a form where we express a statement by number and their operations.

According to the given phrase six times the quantity four which is 6(4) plus a number.

6(4) + n.

What we have done here is we formed a numerical expression from a given statement.

Suppose we have given sum of 4 and thrice of a number is 10.

So, 4 + 3n = 10

3n = 10 - 4

3n = 6

n = 2.

So the number is 2.

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Answer:

The common multiples would be 1, 2, 12, 24, and 36.

Step-by-step explanation:

1 goes both into 4 and 6.

2 goes into 4 and 6.

6x4=24/2=12, therefore 12 is a multiple of 6 and 4

21 is a common multiple because 6x4=4.

Hope I could help!

Complete Question

The data for this question is shown on the first uploaded image

Answer:

The 95% confidence interval estimate of the population percentage is  

   [tex] 33.2\% <  p < 76.8 \% [/tex]

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      [tex]\^ p = \frac{11}{20}[/tex]  

=>   [tex]\^ p = 0.55[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

   [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]

  [tex]E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]

   [tex]E = 0.218[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\r p -E <  p <  \r p +E[/tex]

=>    [tex]0.55-0.218 <  p < 0.55+ 0.218 [/tex]

=>    [tex]0.332 <  p < 0.768 [/tex]

Converting to percentage

        [tex](0.332*100)\% <  p < (0.768 *100) \% [/tex]

=>    [tex] 33.2\% <  p < 76.8 \% [/tex]

Answer:

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Answer:

Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.

Step-by-step explanation:

This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.

The original height of the water in the pool was 5 feet.

Given that there is leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.

After the leak is fixed, the height of the water is 4.75 feet.

The equation 4.75 = x - 0.25 can be used to find x, the original height of the water in a pool.

we need to find the original height of water,

To find the original height of the water in the pool, we can use the given information and equation.

Let's break down the equation: 4.75 = x - 0.25

Here, x represents the original height of the water in the pool, and -0.25 represents the decrease caused by the leak.

The equation states that after the leak is fixed, the height of the water in the pool is 4.75 feet. This means that the final height (4.75 feet) is equal to the original height (x) minus the decrease caused by the leak (-0.25 feet).

To solve for x, we can isolate it on one side of the equation.

Adding 0.25 to both sides of the equation, we get:

4.75 + 0.25 = x - 0.25 + 0.25

Simplifying the equation, we have:

5 = x

Therefore, the original height of the water in the pool was 5 feet.

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Answer:

The equation of the line that passes through the point (-7, -8) and parallel to the given line is y = 5/7·x - 3

Step-by-step explanation:

The coordinates of the point the line passes = (-7, -8)

The equation of the line the required line is parallel to is y = 5/7·x - 5

The slope of of the given line is therefore in slope and intercept form with the slope = 5/7 and the y-intercept = -5

The slope of a line parallel to another line are equal, therefore the slope of the required line = The slope of the given line = 5/7

The equation of the required line in point slope form is therefore;

y - (-8) = 5/7 × (x - (-7))

y + 8 = 5/7 × x + 5/7 × 7

y + 8 = 5/7 × x + 5

∴ y = 5/7 × x + 5 - 8 = 5/7 × x - 3

y = 5/7 × x - 3

The equation of the line that passes through the point (-7, -8) and parallel to y = 5/7x - 5 is y = 5/7·x - 3.

Answer: 1/2 x 1/2 x 1/2 x 1/2

Step-by-step explanation:

Answer:

I think total area=36

Step-by-step explanation:

By finding ar. of all 4 triangles separately by the formula 1/2×base×height

Answer:

The direction matters  , but only in sign... so from A to A'  is what i'm guessing is the direction of translation

Step-by-step explanation:

find the vector from A to A'  or any of the other non prime to prime points.. the vector will be the same...  soooo

take the origin point as P1 , then take the destination point a P2

and subtract P2-P1

P2 = A' = (6,-2)

P1 = A = (2, 1)

(6-2, -2-1) = (4,-3)

your vector can be place at the origin.. and go 4 in the x direction and -3 in the y direction and you get that translation.. make sense?

Answer: you would put x and y in their places

and solve it, remember, Ax+By+C=0

but in this case its Dx+Ey+F

Answer:

-7 and -4

Step-by-step explanation:

try and poin them on a graph

Answer:

Line CA is parrallel to Line HR and Line MC is parallel to line HA.

Step-by-step explanation:

This is because Angle CAM and Angle HAR are equal. Also because Angle CMA and Angle HAR are equal because Angle CAM and Angle HAR are equal.

Answer:

2 divided by (x-7)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2(5)-(1)

10-1

9

Answer: 4.15 degrees

Step-by-step explanation:

-6 + 6.5 + 3.9 - 4/25 = -6 + 6.5 + 3.9 - 0.25 = 4.15 degrees (assuming that the am in the fourth sentence is a typo)

Answer:

800

Step-by-step explanation:

ROund 39 to 40 and 18 to 20.

This results in 40 x 20=800.

Answer:

5

Step-by-step explanation:

Answer:

$9.95

Step-by-step explanation:

$238.80 ÷ 24 = $9.95

$238.80 ⇾ The final cost of boxed lunches altogether.

24 ⇾ The number of boxed lunches bought.

$9.95 ⇾ The unit price of boxed lunches after dividing the final cost($238.80) by the amount bought(24).  

Hope this wasn't confusing. o(^▽^)o

✨Hope this helps✨

Answer:

6+5]4

Step-by-step explanation: