What is the answer to the question down below

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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Answer:

Step-by-step explanation:

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x, y and z is 90°, 53°, and 100°, respectively.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

In ΔABD is made on the diameter of the circle, therefore, the measure of ∠BAD = 90°. Therefore,

x° = 90°

In ΔAOD, the measure of ∠AOD is 74°, also, the triangle is an isosceles triangle with OA and OD of equal length. Therefore, the sum of the angles can be written as,

y° + y° + 74° = 180°

2y° = 106°

y = 53°

Similarly, ΔBOC is an isosceles triangle with OB and OC having an equal length. Therefore, ∠OBC=∠OCB. Also, the sum of all the angles can be written as,

∠BOC + ∠OBC + ∠OCB = 180°

∠BOC + 40° + 40° = 180°

∠BOC = 100°

Hence, the value of x, y and z is 90°, 53°, and 100°, respectively.

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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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The expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

An exponential function is represented as:

y = ab^x

The above means that options (f) and (g) are not exponential functions

When b is less than 1, then the function is an exponential decay.

From the list of options, we have:

900(0.05)^t => b = 0.05

700(0.9)^x => b = 0.9

53(1.75)(0.3)^x => b = 0.3

Hence, the expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

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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

Answer:

28. Y=1x+c

29. -2/3x+c

Hope it helps :)

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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Substituting L = 7.29,

[tex]t = 2.01 \sqrt{7.29} \approx \boxed {5.4}[/tex]

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)

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:

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.

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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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:

24

Step-by-step explanation:

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

The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.

Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.

Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.

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Answer:

22

Step-by-step explanation:

3*sqrt 25 + 7

3*5 + 7

15+7

22

[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]D[/tex]

Step-by-step explanation:

Notice that the red graph does not globally differ from the black graph: it would have been approximately the same one unless it had been displaced by 3 units up. Therefore, it was only the ordinate axis that underwent our change: [tex]y - 3 = f(x) \Leftrightarrow y = f(x) + 3[/tex].

Answer:

C

Step-by-step explanation:

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:

Not similar

Step-by-step explanation:

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

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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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:

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.

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 expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of  pyramid = sum of individual area of the surface

Surface area = (2 * 2) + 4(0.5 * 2 * 3)

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

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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.

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 + 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