Exercise 1) ` + 3y + 2y = 36xex 2) j + y = 3x2 3) + 2y – 3y = 3e-* 4) û + 2y + 5y = 4e->cos2x 5) j- 2y + 5y = 4e-*cos2x

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

First you have to find out how many students were asked.

Rock 20

Hip-hop 40

Country 30

Aiden asked to 90 students

Step-by-step explanation:

It’s a Rule of 3:

If in a group of 90 students 20 chose rock. In a group of 360, How many students will choose rock?

90s - 20rock

360- ?

360(20)/90 = 80

Then do the same thing with country.

90s - 30country

360s- ?

360(30)/90 = 120

The total of country and rock will be:

200 students

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

between 3 and 5 o' clock

Step-by-step explanation:

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The statements about the bowl that are accurate include:

A. The area of the opening of the bowl is 63.6 square inches.

E. The volume of the bowl, rounded to the nearest tenth is 575.2 cubic inches.

In Mathematics and Geometry, the volume of a hemisphere can be calculated by using the following mathematical equation (formula):

Volume of a hemisphere = 2/3 × πr³

Where:

r represents the radius.

By substituting the given parameters into the formula for the volume of a hemisphere, we have the following;

Volume of a bowl = 2/3 × 3.142 × (6.5)³

Volume of a bowl = 575.2 in³

Area of circle = π × (radius)²

Area of bowl = 3.142 × (6.5)²

Area of bowl = 132.7 in².

Volume of a bowl = 575.2/3 = 191.7 in³

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: Enlargement

Step-by-step explanation: If the number is larger than 1 it is an enlargement if it is smaller it is a reduction.

Answer:

It would be an enlargement

Step-by-step explanation:

You are moving each point 2.5 units out

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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Answer:

59°

Step-by-step explanation:

The total sum of all the angles in a triangle is 180°.

We have the angle measures 31° and 90°.

That adds up to 121°.

To find the measure of angle k, subtract 121 from 180.

180 - 121 = 59°

k = 59°

check:

59 + 31 + 90 = 180°

:D

Have a nice day!

Answer:

b) 59

Step-by-step explanation:

All the angles should sum up to 180.

When you see a box that means it is a 90 degrees angle. So 90 + 31 = 121

So then subtract 121 from 180 to get 59

Hope this helped :)

The rate of return if the price of Telecom stock goes up by 10% during the next year is 12%.

The rate of return (RoR) is a rate of return that calculates the net profit or loss of an investment over a certain period of time, and is expressed as a percentage. RoR is an indicator that can be useful to see the level of efficiency in an investment. When the RoR is positive, it means that the investment is making a profit.

Conversely, when the RoR is negative, it reflects a loss in investment. The higher the percentage RoR value, the higher the level of investment you can invest. For example, if the investment is IDR 1,000,000 and has a rate of return of 22%, then the growth rate is 22%.

Based on the question above,

Buy 200 shares of Telekom stock at $50 for $10,000.

The value of these shares increases by 10% or $1,000.

Interest expense = 0.08 x 5,000 = $400

Return values are:

(price increase - interest expense) / borrowed assets

= $1000 - $400 / $5000

= 0.12 = 12%

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Answer:

1. 900

2. 975

3. 75 feet below sea level? which makes no sense but that's what the math says.

Answer:

12

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

in this case its

\(5^{2}\) + \(b^{2}\) = \(13^{2}\)

25 + \(b^{2}\) = 169 subtract 25 from both sides

\(b^{2}\) = 144 take square root of each side

b = 12

Answer:

\(12\)

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: \(a^2+b^2=c^2\)

So,

\(5^2+b^2=13^2\)

\(25+b^2=169\)

\(b^2=144\)

\(b=12\)

--------------------

Hope this helps.

Answer:

3 blocks away from Jada's sister's work.

Answer:

3 blocks

Step-by-step explanation:

The correct graph of the given system of equations y - 2x = -1 and x + 3y = 4 include the following: B. graph B.

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y - 2x = -1    ......equation 1.

x + 3y =4  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (1, 1).

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Answer c

Step-by-step explanation:

Those are vertical angles so both sides need to be equal.

2x+15 = 145

Subtract 15 from both sides:

2x = 130

Divide both sides by 2:

x = 65

Answer:

145 = 2x + 15

2x = 130

x = 65

145 and 2x + 15 are vertical angles and therefore congruent.

Answer:

20

Step-by-step explanation:

12 (2 + ) − (4 + )

24-4

=20

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

It is worked out step by step.

Answer:

C.

Step-by-step explanation:

ACE is a straight line that connects to line AB and line DE.

AB & ED have same gradient which mean that it is parallel.

The parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)

The steps are as follow:

So the parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)

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Answer:

We had this question last week let me check my book real quick.

Answer:

151 cm² (i don't know what unit you were given so im going to use cm)

Step-by-step explanation:

Part One: finding the missing side (h)

h = a² = b² + c²

13² = 12² + c²

169 = 144 + c²

169 - 145 = c²

= 25

square root of 25 = c

5 = c

area of top triangular area = ½ b × h

= ½ × 12 × 5

= 30 cm²

Part Two

area of rectangle = l × b

= 12 × 8

= 96 cm²

Part Three

area of square = l × l

= 5 × 5

= 25 cm²

total surface area = (30 + 96 + 25) cm²

= 151 cm²

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have:

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=19.

Add 9 to 10.

It's 19.

Man, that's so hard!
Even I had to use a calculator.

Answer:

14cm

Step-by-step explanation:

Given parameters:

        perimeter of the triangle  = 42cm

        length of side = (3s + 2)cm

Unknown:

Find the length of each side = ?

Solution:

The perimeter of a body is the sum of all its sides.

 In this problem, we have been given an equilateral triangle. For such a triangle, all the sides are equal. So the perimeter is the sum of all the three sides;

     (3s + 2) + (3s + 2) + (3s + 2)  = 42

            9s + 6 = 42

            9s  = 42 - 6

            9s = 36

              s  = 4;

The length of its sides = 3s + 2

                                     = 3(4) + 2

                                     = 12 + 2

                                     = 14cm

Answer: 80th percentile

Step-by-step explanation:

There were 19 competitors below him and 5 competitors above him.

Total number of competitors is:

= 19 + 5 + Shawnte

= 25 competitors

Out of these 25 competitors, Shawnte took the 20th position.

Percentile is:

= 20/25 * 100

= 80th percentile

The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period