Find the measure of the missing angle using the exterior angle sum theorm.

The height of the dresser is 3.78 feet, and the mirror is 2.5 feet tall.

Simultaneous equations are two or more algebraic equations that share common variables and are solved at the same time.

Simultaneous equations can be solved using different methods such as substitution method, elimination method, and graphically.

To solve this equation, we represent each height with either x or y as given.

height of dresser = x

height of mirror = y

Now we equate them accordingly as the question indicates.

x + y = 6.28 --------eqn 1

x - y = 1.28 ---------eqn 2

subtract eqn 1 from 2 to eliminate x

2y = 5.00

y = 2.5ft

Substitute for y in eqn 1

x + 2.5 = 6.28

x = 6.28 - 2.5

x = 3.78ft

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Answer:

(d) 73
- and - are plus so 45+28

Step-by-step explanation:

Answer:

D) 73

Step-by-step explanation:

-)- basically means plus so 45 + 28 is ... 73,so that's your answer!

Answer: 4.1

Step-by-step explanation:

Hope it helped! Brainliest??

In constructing 95% confidence intervals for the difference in means, we expect that, over the long run, the correct answer will be option A, i.e., % of the time, the difference in population means will fall inside the confidence interval.

Confidence intervals are a statistical tool used to estimate population parameters based on sample data. In constructing a 95% confidence interval, we expect that in 95% of all possible samples, the true population parameter will fall within the calculated interval. In other words, if we were to repeat the sampling process many times and construct a confidence interval for each sample, we would expect that about 95% of these intervals would contain the true population parameter. Therefore, we can say that there is a 95% probability that the true population parameter lies within the calculated interval. For the difference in means, this means that there is a 95% chance that the true difference in population means falls within the confidence interval, and only a 5% chance that it falls outside the interval.

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Answer:

-9°C.

Step-by-step explanation:

Simple -2°C - 7°C.

the partial regression coefficients in a multiple regression model represent the expected change in the dependent variable associated with a unit change in the corresponding independent variable, holding other variables constant.

In the context of the three-variable model Yt = α1 + α2x2+ a3x3 where α2 and α3 are partial regression coefficients, the coefficients represent the changes in Y associated with a unit change in x2 and x3, respectively. The partial regression coefficient represents the expected change in Y when x2 or x3 increases by one unit, while keeping other variables constant.
The partial regression coefficient for α2, α2, measures the effect of the variable x2 on Y. It tells us how much Y is expected to change for every unit increase in x2, holding the other variables constant. Similarly, the partial regression coefficient for α3, α3, measures the effect of the variable x3 on Y, and tells us how much Y is expected to change for every unit increase in x3, holding the other variables constant.
It is important to note that the regression coefficients are estimates obtained from sample data, and are subject to sampling variability. Therefore, it is important to consider the uncertainty associated with the estimates when interpreting the results.
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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

vertex = -4, -26

Step-by-step explanation:

The standard form of a quadratic function is : \(y=ax^{2} +bx+c\)
The function here : y = \(x^{2}\) + 8x - 10
is in this form with a=1, b=8 and c = -10
x-coord of vertex = \(\frac{-b}{2a}\)
\(x_{vertex} =\frac{-8}{2} = -4\)
To find corresponding value of y-coord of vertex , substitute

x = -4 into the function.
x=-4  : \(y=(-4)^{2} +(8*(-4))-10 = 16 +(-32)-10=-26\)

the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.

To find the total decrease in value of the machine in the second 5 years after it was bought, we need to integrate the rate of change of value over that time period.

Given that the rate at which the value changes is 500(t - 12) dollars per year, we can integrate this expression over the interval t = 12 to t = 17 (second 5 years).

The integral of 500(t - 12) with respect to t is:

∫[0 to 10] 500(t - 12) dt

= 500 ∫[0 to 10] (t - 12) dt

= 500 [(t²/2 - 12t) | [0 to 10]

= 500 [(10²/2 - 12*10) - (0²/2 - 12*0)]

= 500 [(50 - 120) - 0]

= 500 [-70]

= - 350000

Therefore, the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.

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Answer:

16.31

Step-by-step explanation:

16.31 is your new price

Step-by-step explanation:

30.4375 is the original price.

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer: t = -37/100 or if needed in deciaml form t = -3.700

hope this helps

plz mark brainleist

Answer:

T = 23/10 =2.300

Remember:

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

T= 23/10 = 2.300

Answer:

HUUUHHHHHHHHHHHHHHHHHH

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer:

4.1% ororor

Step-by-step explanation:

1/6 = 16.7%

3/8 = 37.5%

5/12 = 41.7%

= 95.9%

100% - 95.9% = 4.1%

The expression for the volume is V = (28 - 2x)(22 - 2x)(x), and the volume of the box is 864 cubic inches.

It is given that:

Andre wants to make an open-top box by cutting out the corners of a 22-inch by 28-inch piece of poster board and then folding up the sides.

As we know,

The volume of the box = length×width×height

V = (28 - 2x)(22 - 2x)(x)

Plug x = 2

V = (28 - 2×2)(22 - 2×2)(2)

V = (24)(18)(2) cubic inches.

V = 864 cubic inhces

Since x measures length, it is not possible for it to be smaller than zero. In addition, since the width of the box's bottom cannot be less than zero.

Thus, the expression for the volume is V = (28 - 2x)(22 - 2x)(x), and the volume of the box is 864 cubic inches.

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Answer:

The percent of increase from 20 to 26 is 30 %

Step-by-step explanation:

The formula for the function \($y=f(x)$\) is \($\boxed{y=3x^2+4x+\frac83}$\) .

To obtain the graph of \($y=f(x)$\) from the graph of \($y=x^3$\) by vertically stretching it by a factor of three and shifting it to the left two units, we need to apply two transformations:

Vertical stretching: Multiply the y-coordinate of each point on the graph of \($y=x^3$\) by 3.

Horizontal shift: Move the graph of \($y=3x^3$\) two units to the right.

The formula for the function \($y=f(x)$\) can be obtained by reversing these transformations. We can start with the graph of \($y=3x^3$\), which is obtained by applying the same transformations in the opposite order:

Horizontal shift: Move the graph of \($y=x^3$\) two units to the left by replacing x with x+2.

Vertical stretching: Multiply the y-coordinate of each point on the graph of \($y=(x+2)^3$\) by \($\frac13$\).

Combining these two transformations, we get:

\($y=\frac13(x+2)^3$\)

Expanding the cube, we get:

\($y=\frac13(x^3+6x^2+12x+8)$\)

Simplifying, we get:

\($y=3x^2+4x+\frac83$\)

Therefore, the formula for the function \($y=f(x)$\) is \($\boxed{y=3x^2+4x+\frac83}$\).

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Deja's utility function is u(x1, x2) = 4x1 + x2, and the points (25, 0), (16, 4), (9, ...), (4, ...), (1, ...), and (0, ...) give her a utility of 20.

The indifference curve connecting these points can be plotted. With a price of 1 for cashews, 2 for berries, and an income of 24, Deja's budget line can be drawn. The optimal consumption bundle can be found at the point of tangency between the budget line and the indifference curve. Additionally, a utility of 25 can be achieved by finding points on the indifference curve that satisfy the utility function equation.

If Deja's income increases to 34 while prices remain the same, a new budget line can be drawn, and the optimal consumption bundle can be determined.

Deja's utility function u(x1, x2) = 4x1 + x2 indicates that she values cashews (x1) four times more than berries (x2). The given points (25, 0), (16, 4), (9, ...), (4, ...), (1, ...), and (0, ...) provide her with a utility of 20. By plotting these points, an indifference curve can be obtained, which represents combinations of cashews and berries that yield the same level of utility.

Next, with prices of 1 for cashews and 2 for berries, and an income of 24, Deja's budget line can be determined using the equation 1 * x1 + 2 * x2 = 24. By choosing two convenient points (0, 12) and (24, 0), the budget line can be plotted. The point of tangency between the budget line and the indifference curve represents the optimal consumption bundle, indicating the quantities of cashews and berries Deja will choose to purchase.

To find points on the indifference curve that give Deja a utility of 25, the utility function equation 4x1 + x2 = 25 can be solved. By selecting different values for x1, corresponding values for x2 can be found. For example, if x1 = 5, then x2 = 25 - 4(5) = 5. Thus, one point on the indifference curve with a utility of 25 is (5, 5).

If Deja's income increases to 34 while the prices remain the same, a new budget line can be drawn using the equation 1 * x1 + 2 * x2 = 34. By selecting two points (0, 17) and (34, 0) and plotting them, the new budget line can be depicted. The optimal consumption bundle can then be determined at the point of tangency between the new budget line and the indifference curve.

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In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answer:

kidnapping children is illegal in colombia

Step-by-step explanation:

not here because i have 7 kids in my basement and not once have i had the police called on me

Answer: $75 difference per shirt

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

I will assume this question has messed up syntax and is supposed to be :

x^5  *   x^4   * x    =

x^5   * x^4   * x^1

x^(5 + 4+ 1) =  x^10

One of the numbers would be 321. Hence option B is true.

Used the concept of the Number system that states,

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Given that,

The ratio of the two numbers is 2/3, and their sum is 535.

Let us assume that,

The two numbers are x and y.

Hence we have;

\(\dfrac{x}{y} = \dfrac{2}{3}\)  .. (i)

And, \(x + y = 535\)   .. (ii)

From equation (i);

\(\dfrac{x}{y} = \dfrac{2}{3}\)

\(x = \dfrac{2y}{3}\)

Substitute the above value of x in (ii);

\(x + y = 535\)

\(\dfrac{2y}{3} + y = 535\)

\(2y + 3y = 535 \times 3\)

\(5y = 1605\)

\(y = 321\)

From equation (i);

\(x = \dfrac{2y}{3}\)

\(x = \dfrac{2\times 321}{3}\)

\(x = 214\)

Therefore, the number is 321. So option B is true.

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Answer:

I think it's the first one.

Step-by-step explanation:

Answer:

Click on the Fill Color drop-down menu

Step-by-step explanation:

First you would click the full color menu, then select a color, then select the cells, then save

Using the cosine law, the measure of angle R is calculated as approximately: a. 44.5°.

The cosine law is expressed as follows:

cos R = [s² + q² – r²]/2sq

Given the following side lengths of triangle QRS:

Side q = 11,

Side r = 17,

Side s = 23.

Plug in the values into the cosine law formula:

cos R = [23² + 11² – 17²]/2 * 23 * 11

cos R = 361/506

Cos R = 0.7134

R = cos^(-1)(0.7134)

R ≈ 44.5°

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The coordinates of the image's vertices after translation (x + 2, y 1) are:

A=(7,1)

B=(-3, 3)

C=(-3,2)

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. A triangle is a three-sided polygon with three edges and three vertices in geometry. The total of a triangle's interior angles equals 180 degrees, which is its most essential feature. This is known as the angle sum property of a triangle.

Here,

Take each of the points of the triangle and add 2 to the X and subtract 1 from the Y.

A=(7,1)

B=(-3, 3)

C=(-3,2)

The the coordinates of the vertices of the image after the translation (x + 2, y − 1) is:

A=(7,1)

B=(-3, 3)

C=(-3,2)

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Answer:

x-y

-18-(-15)

-18+15

-3

The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

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Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?