Wich graph matches the equation y+3=2(x+3)

The area of the given triangle is 40 sq. units. Area of a triangle is the half of the product of its base and height.

The area of the triangle is

A = 1/2 × base × perpendicular height

⇒ A = 1/2 × b × h

Units: square units.

The given triangle has

Base b = 8; Height h = 10

Then the area of the triangle is calculated by

Area = 1/2 × base × height

⇒ A = 1/2 × b × h

⇒ A = 1/2 × 8 × 10

⇒ A = 4 × 10

∴ A = 40 sq. units

Thus, the area of the triangle is 40 sq. units.

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Answer:

Bryan had 400$ in his bank account before he withdraw

Step-by-step explanation:

60$ ---- 15%(set what you have)

x$ ------100%(set what you need)

(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )

x=400

Answer:

Let us assume the total number of students surveyed = x

Then

Number of students preferring red = x/4

Number of students preferring blue = x/8

Then

Number of students remaining = x - [(x/4) + (x/8)]

                                                  =x - [(2x + x)/8)

                                                  = x - (3x/8)

                                                  = (8x - 3x)/8

                                                  = 5x/8

Number of students preferring the color green = (3/5) * (5x/8)

                                                                          = 3x/8

We also know that the total number of students preferring the color green is 15

So

3x/8 = 15

3x = 15 * 8

x = (15 * 8)/3

  = 5 * 8

  = 40

So in total 40 students were surveyed. I hope the procedure is clear to you.

Step-by-step explanation:

Answer:

We conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Step-by-step explanation:

We are given that an industrial plant can discharge not more than 500 gallons of wastewater per hour, on average, into a neighboring lake.

Four one-hour periods are selected randomly over a period of one week. The following are observed:

1384, 683, 1534, 405

Let \(\mu\) = population average gallons of wastewater discharged per hour

So, Null Hypothesis, \(H_0\) : \(\mu \leq\) 500 gallons      {means that not more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 500 gallons     {means that more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                                T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean = \(\frac{\sum X}{n}\) = 1001.5 gallons

             s = sample standard deviation = \(\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }\) = 543.79

             n = sample of periods = 4

So, the test statistics =  \(\frac{1001.5-500}{\frac{543.79}{\sqrt{4} } }\)  ~ \(t_3\)

                                    =  1.844

The value of t-test statistics is 1.844.

Since in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the t table gives a critical value of 2.353 at 3 degrees of freedom for the right-tailed test.

Since the value of our test statistics is less than the critical value of z as 1.844 < 2.353, so we have insufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Answer:

12

Step-by-step explanation:

unless placed in an inconvinient way, this is really the one that makes sense.

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: \(y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}\)

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

\(y=\frac{k}{x}\\y=\frac{20}{4}\\y=5\)

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

Answer: 5 pounds

Step-by-step explanation:

Think about it in order to find j you multiply 6 times c. If j=30 you divide 30 from 6 to find the value of c. This is why c is 5.

Hope this helps :)

Answer:

Step-by-step explanation:

perimeter of the given trapezoid = 7 + 4 + 4 + 5

                                                      = 20 units

                                             (see image below)

The length of a side of the square-shaped table is 1.5 meters.

To find the length of a side of the square-shaped table, we need to calculate the square root of the given area.

The area of a square is given by the formula:

Area = side length * side length

In this case, we have:

Area = 144/64 square meters

To find the side length, we take the square root of the area:

√(144/64) square meters

To simplify the calculation, we can express 144 and 64 as the square of their factors:

√((12^2)/(8^2)) square meters

Taking the square root of the numerator and the denominator separately, we have:

(√12^2) / (√8^2) square meters

Simplifying further, we get:

12/8 square meters

The fraction 12/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(12 ÷ 4) / (8 ÷ 4) square meters

3/2 square meters

Therefore, the length of a side of the table is 3/2 square meters or 1.5 meters.

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Answer: IT IS EZ IT JS 67 AND 194

Step-by-step explanation

Answer:

Please see Picture

Step-by-step explanation:

I have given you both the standard form and the vertex form, as you did not specify which one you needed. I hope the explanation helps!

Answer:

Probability of obtaining no more than two defective tubes = 0.816

Step-by-step explanation:

The Probability of obtaining no more than two defective tubes in a randomly selected sample of 15 tubes is obtained using the binomial distribution formula: nCr × p^r × q^(n -r).

Where n is number of samples;

r is maximum number of defective tubes, r ≤ 2;

p is probability of defective tubes = 10% or 0.1

q is probability of non-defective tubes, q = 1 - p

Further explanations and calculations are given in the attachment below:

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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Answer:

Step-by-step explanation:

i dont know the exact answer ..but i know that the hours would be a larger number and first you need to find out how many ours 1 pump takes so you do 3 divided by 7 which on the calculator its 0.4...

after this you times it but i dont know by what

Answer:

the answer is 10.5

Step-by-step explanation:

The polynomial function s(x) if s(−5) = −4 is a) x+5 is not a factor of s(x) is the correct option.

Given:

polynomial function s(x) if s(−5)=−4 .

x = -5 when substitute in s(x) the output is -4 which is not equal to zero so

x+5 is not a factor of s(x) is correct.

The factor theorem tells you that a polynomial f(x) has a factor (x - k) only when f(k)=0 . So if s(-5) is not 0, we can draw the conclusion that (x+5) is not a factor of s(x).

Therefore the polynomial function s(x) if s(−5) = −4 is a) x+5 is not a factor of s(x) is the correct option.

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Answer:

20.4

Step-by-step explanation:

First you do  8947.95/30.25 and you will get 295.8 the you divide that by 14.5 and you will get 20.4 and that will be your answer

Answer:

105$

Step-by-step explanation:

300 times 35%=105

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

1. z=4

2. z=2/3

3. x=1

4. x=3

Step-by-step explanation:

I can't explain just trust me I went through algebra class.

Hope this helps

6z+3=8z-5

6z+3-3=8z-5-3

6z-8z=8z-8z-8

-2z/-2=-8/-2

z=4

3-4z=-5+8z

subtract three from both sides

-4z-8z=-8+8z-8z

-12z/-12=-8/-12

z=2/3

3x-5=x-3

add 5 to both sides

3x-x=x-x+2

2x/2=2/2

x=1

3x+14=11+4x

subtract 14 from both sides

3x-4x=-3+4x-4x

-x/-1=-3/-1

x=3

Answer:

1. z=42. z=2/33. x=14. x=3Step-by-step explanation:I can't explain just trust me I went through algebra class.Hope this helps6z+3=8z-56z+3-3=8z-5-36z-8z=8z-8z-8-2z/-2=-8/-2z=43-4z=-5+8zsubtract three from both sides-4z-8z=-8+8z-8z-12z/-12=-8/-12z=2/33x-5=x-3add 5 to both sides3x-x=x-x+22x/2=2/2x=13x+14=11+4xsubtract 14 from both sides3x-4x=-3+4x-4x-x/-1=-3/-1x=3

Step-by-step explanation:

Answer:303.19

Step-by-step explanation: HOPE I HELPED

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Step-by-step explanation:

x+x(3)=48

combine like terms

4x=48

Divide both sides by same term

4x/4=48/4

Simplify

x=12

Answer:

4

Step-by-step explanation:

(x * 3) * x = 48 ----> (4 * 3) * 4 = 48

The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

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Answer:

Step-by-step explanation:

The coordinates of E and F are:

Find the slope:

Use point-slope form and point E:

Convert into slope-intercept form:

The matching choice is C

Equation in two points form

\(\\ \tt\longmapsto y+4=\dfrac{4+4}{4-3}(x-3)\)

\(\\ \tt\longmapsto y+4=8(x-3)\)

\(\\ \tt\longmapsto y+4=8x-24\)

\(\\ \tt\longmapsto 8x-y=28\)

\(\\ \tt\longmapsto y=8x-28\)

Answer:

12 3/5

Step-by-step explanation:

Answer:

12 3/5       can i have brainlist??                                                                          

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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