please help me with questions 1 and 2 (with explanations and calculation) thank you so much

we are given x here, so we already know that our first coordinate is equal to -2.

in order to find the next coordinate, we have to substitute x for -2 in the y=mx+b equation.

the equation is

[tex]y = \frac{2}{3} x + 23[/tex]

so in substituting x for -2 we get

[tex]y = \frac{2}{3} ( - 2) + 23[/tex]

all we need to do is multiply ⅔ by -2, which gives us -1,3333.

we now have

[tex]y = - 1.3333 + 3[/tex]

so we add them together and get :

[tex]y = 1.666666[/tex]

hope this helps!!<3

Answer:

$1.77 per pound

Step-by-step explanation:

To find the unit price we divide the cost over the weight: 123.99/70 = 1.77128571 = 1.77

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

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The standard deviation of the x distribution is 0.2.

According to the statement

we have given that the the sample n is 64 and we have to find the standard deviation of the given sample.

So, For this purpose, we know that the

The standard deviation of the sample is the standard deviation of population divided by the square root of the length of the sample.

In this problem, we have that the value of alpha is

[tex]\alpha = 1.6[/tex]

Suppose that for aluminum alloy sheets of a particular type,

If X is the sample mean Young's modulus for a random sample of n = 64 sheets, and the standard deviation of the X distribution is given by

[tex]s = \frac{\alpha}{\sqrt{64} }[/tex]

then solve it then the standard deviation

s =  {1.6} / {8 }

s = 0.2

So, The standard deviation of the x distribution is 0.2.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Given that Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively.

a. If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by

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Answer:

A = (0, b)

B = (a, b)

Step-by-step explanation:

A is straight up from the origin and is the same height as b so it's (0, b)

B is straight up from C so the x is the same so it's (a, b)

Answer:

The number is 72.

Step-by-step explanation:

Let the number be xy.

x = y + 5

10x + y - 2(10y + x) = 0.25(10x + y)

10x - 2x + y - 20y = 2.5x + 0.25y

5.5x - 19.25y = 0

Substituting for x:

5.5y + 27.5  - 19.25y = 0

-13.75y = -27.5

y = 2.

So x = 2 + 5 = 7.

To acquire 90000000 views on his channel, he has to upload 20 videos every month.

Every month, he  posts 3 videos to his  channel. An average number of people watch each video. = 1500000

In search of:

How many months must pass before he begins to receive 90,000,000 views on his channel?

Step 1

On his channel, he posts three videos each month.

The average number of views per video is.

3 Videos Receive Views

= 3 * 1500000

= 4,500,000 Views

Number of 4,500,000 views each month

Complete 90000000 Views

Step 2

Total Views/Months = Total Views/Total Views

Days in a month = 90000000/4500000

                             = 20

20 Monthly months in the number

To acquire 90000000 views on his channel, he has to upload 20 videos every month.

20  Months is the right response, so.

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Step-by-step explanation:

the midpoint is exactly halfway in each coordinate direction.

so, whatever we have to add ti or subtract from the coordinates of T to get to the midpoint, we have to add to or subtract from the midpoint to get to S.

for x we get

0 + 5 = 5

so, we need to add another 5 to get the x coordinate of S.

that is then 5 + 5 = 10

for y we get

2 - 5 = -3

so, we need to subtract another 5 to get the y coordinate of S.

that is then

-3 - 5 = -8

S = (10, -8)

From the given information, a exists jointly proportional to b and c.

then [tex]$$a \propto b c$[/tex]

Therefore, the value of a exists 2.

Given, a exists jointly proportional to b and c.

[tex]$$a \propto b c$[/tex]

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

[tex]$K=\frac{1}{18}[/tex]

Using the value of K in the equation:

[tex]$a=\frac{b c}{18}[/tex]

Substitute the values of b = 2 and c = 18, in the above equation

[tex]$a=\frac{2 \times 18}{18} \\[/tex]

a = 2

Therefore, the value of a exists 2.

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The value of x in the angles of Quadrilateral is 52 degree.

According to the statement

we have given a four angles and we have to  find the value of x in these give angles.

From given 4 angles it is clear that the these angles are of a quadrilateral.

And we know that the

A quadrilateral is a four-sided polygon, having four edges and four corners.

And the sum of all angles of a quadrilateral is 360 degree.

so,

50° + 3X + X + (X+110) = 360 degree

50° + 4X + (X+110) = 360 degree​

50° + 5X + 110 = 360 degree

160° + 5X  = 360

5X = 360-100

5X = 260

X = 52 degree.

So, The value of x in the angles of Quadrilateral is 52 degree.

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Answer:

[tex]\sin\left(x+\frac{\pi}{7} \right)[/tex]

Step-by-step explanation:

[tex]\sin\left(x+\frac{\pi}{7} \right)=\sin \frac{\pi}{7}\cos x +\cos \frac{\pi}{7} \sin x[/tex]

Answer:

9

Step-by-step explanation:

when you divide 576 by 9 you get 64 which is a perfect cube

cbrt(64) = 4

so your answer is 9

Answer:

8 types of sandwiches.

Step-by-step explanation:

she has choices of :

1 turkey sandwich

1 roast beef sandwich

1 ham sandwich

1 white sandwich

1 white bread sandwich

1 American sandwich

1 swiss sandwich

1 colby cheese sandwich.

Answer:

8 types

Step-by-step explanation:

she had alot of choice like :

Turkey, roast beef, ham, swiss, corby cheese, wheat or whitebread and american sandwhich .

It looks like the limit is

[tex]\displaystyle \lim_{x\to0} \frac{e^{3x} - 1 - 3x}{x^2}[/tex]

L'Hôpital's rule works in this case; applying it twice gives

[tex]\displaystyle \lim_{x\to0} \frac{e^{3x} - 1 - 3x}{x^2} = \lim_{x\to0} \frac{3e^{3x} - 3}{2x} = \lim_{x\to0} \frac{9e^{3x}}{2} = \boxed{\frac92}[/tex]

Answer:

Step-by-step explanation:

The vertical distance between the given points is:

Answer:

19,497m

Step-by-step explanation:

8,856-(-10,911)

=8856+10,911

=19,497m

The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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Answer:

17 hours

Step-by-step explanation:

We first want to figure out how much money shes making per hour.

We can simply divide 176 by 8 getting us 22

Since we know she makes 22 dollars an hour we can divide 374 by 22 getting us 17.

Now we know it would take 17 hours to make 374 dollars

If you want to double check you can simply multiply 17 by 22 which would get you 374

Answer: 17 hours

Step-by-step explanation

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

[tex]\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}[/tex]

Then the time it will take to fill up the tank is

[tex]343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}[/tex]

Answer:

=========================

Triangle with:

As per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.

So we have:

Solve it for n:

Correct choice is D.

By using subtraction of yellow areas from the entire squares, the areas of the inscribed shapes are listed below:

The areas of the inscribed shapes can be easily found by subtracting the yellow areas from the square, in order to find the value of green areas. Now we proceed to find the result for each case by using area formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

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Answer:

x - 14.95 = 12.48

x = 27.43

Step-by-step explanation:

The equation which can be used to find the length of EF is option A which is  EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

[tex]H^{2} =B^{2} +P^{2}[/tex]

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

[tex](DE)^{2} =(EF)^{2} +(DF)^{2}[/tex]

EF=[tex]\sqrt{DE^{2}-DF^{2} }[/tex]

=[tex]\sqrt{(24)^{2} -(12)^{2} }[/tex]--1

=[tex]\sqrt{576-144}[/tex]

=[tex]\sqrt{432}[/tex]

Hence the equation which can be used to find the length of Ef is option A which is  EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].

Question is incomplete as it should include the figure also.

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The values of the function if the function f(x) is reflected over y-axis is  g(x) = 10/21x

Reflection is a transformation technique that changes the position of an object on an xy-plane.

If the function f(x) is reflected over y-axis, the resulting function is y = f(-x). Given the following function;

f(x) = -2/7(5/3)x

This can also be written as;

f(x) = -10/21 x

Replace x as -x

f(-x) = -10/21(-x)

f(-x) = g(x) = 10/21x

Hence the values of the function if the function f(x) is reflected over y-axis is  g(x) = 10/21x

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Answer:

The total number of feet travelled by the motorcycle is 396 feet

Step-by-step explanation:

Using the constant speed relationship with the distance:

           v = s/t

From the above equation the distance travelled will be:

          s = v * t              (i)

We are given with the v, that is:

          v = 45 miles per hour

Converting in to feet per second.

          v = (45 * 5280)/3600 feet / s

          v = 66 feet per second

Now, put that v and t in equation (i)

          s = 66 * 6

          s = 396 feet

Answer:

III

Step-by-step explanation:

This is a fact - A point having a negative abscissa and negative ordinate is in quadrant III.

Using proportions, the length of x is of 2.9.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The triangles are similar, that is, they have the same angles, hence the corresponding sides are proportional, by the following rule of three:

x/7 = 5/12

Applying cross multiplication:

12x = 35

x = 35/12

x = 2.9.

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Answer:

Separating the 3x and -5 apart from the (x+1)

Step-by-step explanation:

It would turn out to be (3x-5)(x+1) !

Factor out x+1 from the expression

(x+1) x (3x-5)

1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

Note that:

Sample size =  20.

Note that for us to be able to get the answer in question one, we have to divide the unbiased estimate for the population variance by the use of  20 so that we can be able to get our unbiased estimate for the variance: And as such;

15/20 = 0.75.

The term fail to reject implies that  the null hypothesis is one that has not been disproven or wrong and therefore the use of the term "failure to reject." It is one that should not be taken with acceptance.

Therefore, 1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

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Answer:

$7.14

Step-by-step explanation:

Given:

Isabel , Nancy = 2 humans

Bill = $12.42

Tip = 15%

To Find:

How much will each girl pay if they equally divide the total amount?

Solve:

$12.42 × 15% = 1.863

1.863 ≈ 1.86

$12.42 + 1.86 = 14.28

14.28 ÷ 2 = 7.14

Therefore each girl pays $7.14 .

~Kavinsky

The correct ratios are: cos 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4

What is trigonometry  ratio in tringle?

In triangle RST, angle T= 90° and angle R= 63°

As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)

S= 180°- 153°

S= 27°

According to the rule of trigonometric ratios,

cos(θ) = [tex]\frac{hypotenuse}{opposite}[/tex]

sec(θ) = [tex]\frac{hypotenuse}{adjacent}[/tex]

cot(θ) = [tex]\frac{adjacent}{opposite}[/tex]

In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.

cos(63°) = [tex]\frac{23}{10.4}[/tex]

sec(63°) = [tex]\frac{23}{RT}[/tex]

cot(63°) = [tex]\frac{RT}{10.4}[/tex]

Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.

So, cos(27°) = [tex]\frac{23}{RT}[/tex]

sec(27°) = [tex]\frac{23}{10.4}[/tex]

cot(27°) = [tex]\frac{10.4}{RT}[/tex]

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