Graph the equation y=−x 2 −8x−7 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

The equation that shows the correct relationship between the measures of the angles of the two triangles is;

Option D: The measure of angle BCA = The measure of angle C prime A prime B prime

We are told that Triangle ABC is transformed to triangle A′B′C′.

Now,  the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;

From the given coordinates, we can say that;

∠BAC = ∠B'A'C'

∠ABC = ∠A'B'C'

∠ACB = ∠A'C'B'

Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;

The measure of angle BCA = The measure of angle C prime A prime B prime

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The correct option is A.

domain: x > -2; range: all real numbers

Here we have a logarithmic function.

Remember that the argument of a logarithm must be larger than zero, in this case the argument is:

x + 2

So we must have:

x + 2 > 0

x > -2

Then the domain is:  x > -2.

And the range of any logarithmic function is the set of all real numbers.

Then the correct option is A.

domain: x > -2; range: all real numbers

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The new amount of neon gas when the temperature drops is 2.30L.

Charles's law

Charles's law states, "The volume occupied by a particular amount of gas is directly proportional to its absolute temperature.

Initial temperature of gas T₁ = 50 ° C = 323.15K

Initial volume of gas V₁ = 2.5L

Final temperature T₂ = 25 ° C = 298.15K

Final capacity V₂ =? Neon gas, substitute the given value into the above equation:

V₁ / T₁ = V₂ / T₂

V₂ = V₁T₂ / T₁

V₂ = (2.5L × 298.15K) ) / 323.15K

V₂ = 2.30 l

Therefore, the new volume when the temperature of the neon gas drops is 2.30l.

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Answer:

A. 2.3

Step-by-step explanation:

The value of x is 8.5 cm

The complete question is in the image

The given parameters are:

y = 12 cm

[tex]\theta = 45^o[/tex]

The value of x is calculated using the following sine ratio

[tex]\sin(\theta) = \frac xy[/tex]

This gives

[tex]\sin(45^o) = \frac x{12}[/tex]

Multiply by 12

[tex]x = 12 * \sin(45^o)[/tex]

Evaluate

x = 8.5

Hence, the value of x is 8.5 cm

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Answer:

Other answer is wrong. The answer is this choice

The table C correctly shows the marginal frequencies.

A two-way table is a way to display frequencies or relative frequencies for two variables.

One of the variables is represented using rows and the other one using columns.

They are used to see if there is any relationship between the two variables.

Given that, the ages and grades of some of the 19 girls on a club soccer team are shown in the given table.

We need to select the table showing the correct marginal frequencies.

So, we see that,  

Table A and Table D add up to a total of 21 girls.

The question says there are 19 girls, so those two are eliminated.

Table B's data doesn't even add properly so that is eliminated too.

This leaves Table C.

Hence, the table C correctly shows the marginal frequencies.

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The complete question is attached.

Answer:

Not similar

Step-by-step explanation:

There is only one side and one angle, which insufficient to prove triangle similarity.

The required scale factor for the dialed triangle is given by SF= 6.28

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).

The scale factor is defined as the ratio of modified change in length to the original length.

Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
                         = 1/2 (4 x 6)
                         =   4.8
Similarly, for dilated triangle
Area of dilated triangle =  30

Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25

Thus, the required scale factor is SF = 6.25

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The PMF of [tex]X[/tex] is almost geometric in nature. Let [tex]p=\frac{11}{29}[/tex]. Then

[tex]P(X = x) = \begin{cases} p & \text{if }x = 0 \\ (1-p)p & \text{if }x = 1 \\ (1-p)^2 p & \text{if }x = 2 \\ (1-p)^3p & \text{if }x = 3 \\ (1-p)^4 & \text{if }x = 4 \\ 0 & \text{otherwise}\end{cases}[/tex]

Compute the first moment/expected value.

[tex]E(X) = \displaystyle \sum_x x\, P(X=x) \\\\ ~~~~~~~~ = 0\cdot p+1\cdot(1-p)p + 2\cdot(1-p)^2p + 3\cdot(1-p)^3p + 4\cdot(1-p)^4 \approx 1.39349[/tex]

Compute the second moment.

[tex]E(X^2) = \displaystyle \sum_x x^2\, P(X=x) \\\\ ~~~~~~~~ = 0\cdot p+1\cdot(1-p)p + 4\cdot(1-p)^2p + 9\cdot(1-p)^3p + 16\cdot(1-p)^4 \approx 4.01103[/tex]

Compute the variance.

[tex]V(X) = E(X^2) - E(X)^2 \approx 2.06921[/tex]

The standard deviation is the square root of the variance.

[tex]\sqrt{V(X)} \approx \boxed{1.43848}[/tex]

Answer:

C. About 50 percent is soccer, 25 percent is baseball, 25 percent is basketball.

Step-by-step explanation:

400 students at a sports camp.

200 play soccer, which is 50% or half of the students at the sports camp.

100 play baseball, which is 25% or a quarter of the students at the camp.

100 play basketball, which is also 25% or a quarter of the students at the camp.

So, the circle graph that shows soccer 50%, baseball 25%, and basketball 25%, is the answer.

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

(-3 * -3) + (3*5) + (0 * -2) = 24

Answer:

7.5 cm

Step-by-step explanation:

The perimeter of a rectangle is the sum of the length of all its sides.

Perimeter of rectangle= 2(length +breadth)

Given: perimeter= 24 cm, breadth= 4.5 cm

Substitute the given information into the formula:

24= 2(length +4.5)

Divide both sides by 2:

length +4.5= 12

Subtract 4.5 from both sides:

length

= 12 -4.5

= 7.5

Thus, the rectangle is 7.5 cm long.

[tex]\huge\boxed{45^\circ}[/tex]

See the attached diagram.

Together, angles BDC and ADB form a right angle, which is 90 degrees.

The angles are split straight down the middle, meaning they're equal to each other. This means each one is equal to half of 90 degrees, which is 45 degrees.

Answer:

Step-by-step explanation:

Note: It is assumed we are looking at  the total surface area (but the answer would be same for both cases)

Total surface area of cylinder A is:

Total surface area of cylinder B is:

Find the ratio of areas:

Answer:

7y + 15 - 2y = 5(y + 3)

Step-by-step explanation:

So two equations have infinitely many solutions, when they are exactly the same equation, in their most simplified form, for example: 2x = 3x-x which simplifies to 2x=2x. So in the options, three of the options have the same equation on the right side, so I'll distribute the 5. [tex]5(y+3) = 5y+15[/tex]. Now let's look at the options:

7y + 3-2y

5y+3 (this is not the same as 5y + 15)

7y + 15 (this is not the same as 5y + 15)

7y + 15 - 2y

5y + 15 = 5y + 15 (this is the same)

Using it's concept, the equivalent expression for the perimeter of the figure is:

2 + 3x2 + 4x2 + 5x2 + 8

The perimeter of a figure is given by the total length of it's boundary.

Hence, for the figure given in this problem, the perimeter is:

2 + 3 + 3 + 4 + 4 + 5 + 8 + 5

2 + 3x2 + 4x2 + 5x2 + 8

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Answer:

28. Y=1x+c

29. -2/3x+c

Hope it helps :)

Multicollinearity is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model.

Multiple linear regression refers to a statistical technique that is used to predict the outcome of a variable based on the value of two or more variables. It is sometimes known simply as multiple regression, and it is an extension of linear regression. The variable that we want to predict is known as the dependent variable, while the variables we use to predict the value of the dependent variable are known as independent or explanatory variables.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the entire set of predictors predicts the outcome variable, but it might not provide accurate information about any particular predictor or about which predictors are redundant with respect to another predictor.

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The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.

A monthly budget is a personal spending plan that you use to track your monthly income and costs.

The given data in the problem is;

Home pay = $2314.92/month.

Interest earned = $48 / month

House rent = $825/month

EMI of student loan =  $258/month

Total earning per month = $2314.92 +  $48

Total earning per month = $ 2362.92

Amount she spends per month = $825/month + $258

Amount she spends per month = $ 1083

Hence, the total balance will be $ 2362.92 and she spend $ 1083.

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When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

[tex]x\propto \frac{1}{y} [/tex]

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

[tex]\therefore x \propto \frac{1}{y}[/tex]

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation \#1.}[/tex]

[tex]\mathbf{\dfrac{2}{1} = \dfrac{k}{14}}[/tex]

[tex]\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}[/tex]

[tex]\mathbf{2\times14 = k \times1}[/tex]

[tex]\mathbf{2\times14 = 1\times k}[/tex]

[tex]\mathbf{28 = 1k}[/tex]

[tex]\mathbf{1k = 28}[/tex]

[tex]\huge\textbf{DIVIDE 1 to BOTH SIDES}[/tex]

[tex]\mathbf{\dfrac{28}{1} = \dfrac{1k}{1}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{k = \dfrac{28}{1}}[/tex]

[tex]\mathbf{k = 28}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{k = 28}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Equation \#2.}[/tex]

[tex]\mathbf{\dfrac{1}{k} = \dfrac{14}{2}}[/tex]

[tex]\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}[/tex]

[tex]\mathbf{1\times 2 = 14\times k}[/tex]

[tex]\mathbf{2 = 14k}[/tex]

[tex]\mathbf{14k = 2}[/tex]

[tex]\huge\textbf{DIVIDE 14 to BOTH SIDES}[/tex]

[tex]\mathbf{\dfrac{14k}{14} = \dfrac{2}{14}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{k = \dfrac{2}{14}}[/tex]

[tex]\mathbf{k = \dfrac{2\div2}{14\div2}}[/tex]

[tex]\mathbf{k = \dfrac{1}{7}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{k = \dfrac{1}{7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex]87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}[/tex]

Step-by-step explanation:

Given Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex],

and also given r = 4.25 inches and h = 6 inches.

Let's Substitute r and h into the formula to find the total surface area.

Surface Area of Cylinder = [tex]2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}[/tex]

Answer:

Step-by-step explanation:

The measure of an angle formed by a Secant and a tangent drawn from the outside point of a circle is half the difference of the intercepted arcs.

   [tex]\sf \angle E =\dfrac{arc \ CF - arc \ DF}{2}[/tex]

        [tex]\sf53 =\dfrac{arc \ CF-41}{2}[/tex]

  53*2  = arc CF - 41

   106    = arc CF - 41

106 + 41 = arc CF

   [tex]\sf \boxed{\bf \ arc \ CF = 147^\circ}[/tex]

9)  If two secants inside a circle, then the angle formed is equal to the half of the sum of intercepted arcs.

    [tex]\sf 5x - 7 = \dfrac{27+119}{2}\\\\ 5x - 7 = \dfrac{146}{2}[/tex]

   5x - 7  = 73

         5x = 73 + 7

         5x = 80

           x = 80/5

          [tex]\sf \boxed{\bf \ x = 16^\circ }[/tex]

Answer:

f(5)

-2(5)-3

-10-3=-13

g(-2)

-2(-2)^3-5

-2(-8)-5

16-5=11

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

3*sqrt 25 + 7

3*5 + 7

15+7

22

Answer:

Step-by-step explanation:

Answer:

How long is each piece of wood?

Expression = 32/x

Solve: How long is each piece of wood if

Hunter cuts the original piece into 8

pieces?

32/8 = 4 foot

Step-by-step explanation:

-25 + 14 ÷ (5-3)

= -25 + 14 ÷ (2)

= - 25 + 7

= - 18

• Your equation

[tex] - 25 + 14 \div (5 - 3)[/tex]

• Solving

[tex] - 25 + 14 \div (2)[/tex]

• Dividing the terms.

[tex] - 25 + 7[/tex]

• Answer = -18

Hope it helps you!

Answer + Step-by-step explanation:

an= 4(2)ⁿ⁻¹

First term (n = 1) :

a1= 4(2)¹⁻¹ = 4(2)⁰ = 4×(1) = 4

Second term (n = 2) :

a2= 4(2)²⁻¹ = 4(2)¹ = 4×(2) = 8

Third term (n = 3) :

a3= 4(2)³⁻¹ = 4(2)² = 4×(4) = 16

Fourth term (n = 4) :

a4= 4(2)⁴⁻¹ = 4(2)³ = 4×(8) = 32