Find Sn for the given arithmetic series a1= -26, d= -3, n= 15

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. - ∞ < x < ∞

Step-by-step explanation:

The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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Answer:

  x = 68

Step-by-step explanation:

You want the value of x in ∆GEH with an angle bisector ED that divides it so that EG = 99.2 ft, EH = 112 ft, GD = 62 ft, and HD = (x+2) ft.

The angle bisector divides the sides of the triangle proportionally. This means ...

  EH/EG = HD/GD

  112/99.2 = (x+2)/62

  112/99.2 · 62 = x +2 . . . . . multiply by 62

  119/99.2·62 -2 = x = 68 . . . . subtract 2

The value of x is 68.

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In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

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Answer:

y = log4x

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

From the question, we are informed that Ed's birthday is less than 16 days

away and that Ann writes the inequality

d< 16, where d equals the number

of days, to represent this.

The inequality d < 16 is correct as it explains that the number of days left is less than 16.

Answer:

Ann is correct because d is less than 16.

Step-by-step explanation:

Ed's Birthday is *less than 16* days away so d<16

Answer:

Option D is the right option.

solution,

\( \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} \)

Hope this helps..

Good luck on your assignment.

Hope

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

Answer:

20, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5... any age except for 18 be cause 18 is the age of the fifth gymnast.

The answer would most likely be c because you multiply 0.75 by the amount of units sold and find out the profit after adding it.

Hope this helps! :)

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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Answer:

C) 76 cm²

Step-by-step explanation:

area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²

another way is:

area = 1/2(b1 + b2)(h)

area = 1/2(11 + 8)(8) = 76 cm²

Answer:

76

Step-by-step explanation:

Hello There!

The area can be found by using this formula

\(A=\frac{a+b}{2} h\)

where a and b = bases and h = height

we need to find the height before we can find the area

the shape was split into a triangle and a square

because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm

now we plug in the known information into the formula

\(A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76\)

so we can conclude that the area of the trapezoid is 76 square centimeters

Answer:

Step-by-step explanation:

Bacteria is helpful because it helps protect the cells in your intestines. Its, harmful because itI can cause a disease in your lungs.

Hope this helps!

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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Answer:

1.) 60

2.) 36

3.) -9

4.) 74

5.) -36

6.) \(\frac{2}{6} =\frac{1}{3}\)

Step-by-step explanation:

1.) 2×3[7+(6÷2)]

2×3[7+3]

2×3×10

2×30

60

2.) 3[-3(2-8)-6]

3[-3(-6)-6]

3[18-6]

3×12

36

3.) 3×3[2-(9÷3)]

3×3[2-3]

3×3[-1]

3×3×-1

9×-1

-9

4.) 2[-5(4-12)-3]

2[-5(-8)-3]

2[40-3]

2×37

74

5.) [(3×3)-(30÷6)]+(-27)-13

[9-5]+(-27)-13

4-27-13

4-40

-36

6.) 2÷[(4÷2)+(32÷8)]

2÷[2+4]

2÷6

\(\frac{2}{6} =\frac{1}{3}\)

Hope this helps!

Answer:

-1/4 < x

Step-by-step explanation:

\(-\frac{1}{8} < \frac{1}{2} x\)

\(\frac{-1/8}{1/2} < x\)

\(-\frac{2}{8} < x\)  

simplified:

\(-\frac{1}{4} < x\)

Hope this helps

Answer:

14 1/2

Step-by-step explanation:

6a-15=72

+15 on both sides

6a = 87

Divide by 6 on both sides

a = 14 1/2

Answer:

D. 14 1/2

Step-by-step explanation:

First, add 15 to both sides:

6a - 15 = 72

6a = 87

Divide by 6

6a = 87

a = 14.5

Therefore, the answer to your question is D. 14 1/2

Hope this helps!!

- Kay :)

Answer:

37,73      13,31

Step-by-step explanation:

The slope of the given line is \(-\frac{3}{5}\)

What is slope of a line?

Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis

If \(\theta\) is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

m = \(tan\theta\)

If the line passes through \((x_1, y_1)\) and \((x_2, y_2)\)

slope = \(\frac{y_2-y_1}{x_2 - x_1}\)

The given line passes through ( -1, -5) and  (4, -8)

Slope of the line  =

                               \(\frac{-8-(-5)}{4-(-1)}\\-\frac{3}{5}\\\\\)

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If you borrow $900 for 6 years at an annual interest rate of 7%. You will pay $1350.65

"An annual interest rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account."

According to the problem

If you borrow $900 for 6 years at an annual interest rate of 7%

You will pay = \(90(1+\frac{r}{100} )^{t}\)

= \(900(1+\frac{7}{100} )^{6}\)

= \(900(1.07)^{6}\)

= $1350.65

Hence, you will pay $1350.65

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Step-by-step explanation:

First, you convert 7% to a decimal.

0.07

Then you multiply.

900*6*0.07

The answer is 378.

Wait we are not done yet. We need to add dollars per year with 378.

900+378=1278

The answer is 1278.

The 50th percentile is NOT a measure of dispersion. What is a measure of dispersion? A measure of dispersion is a statistical term used to describe the variability of a set of data values. A measure of dispersion gives a precise and accurate representation of how the data values are distributed and how they differ from the average. A measure of central tendency, such as the mean or median, gives information about the center of the data; however, it does not give a complete description of the distribution of the data. A measure of dispersion is used to provide this additional information.

Measures of dispersion include the range, interquartile range, variance, and standard deviation. The 50th percentile, on the other hand, is a measure of central tendency that represents the value below which 50% of the data falls. It does not provide information about how the data values are spread out. Therefore, the 50th percentile is not a measure of dispersion.

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The problem provides the information:

3 x + 5 y = 11

and x y = 2

Asking to find the value of 9 x^2 + 25 y^2

so we proceed to recall what the square of a binimial of the following form is:

So, we see that the square of the quantity: (3 x + 5 y) which from the information given equals 11^2 = 121, must equal the expression:

9 x^2 + 25 y^2 + 30 x y.

then we write the following equation making both parts equal:

Therefore the value of 9 x^2 + 25 y^2 = 61

Answer:

c) angle 4

Step-by-step explanation:

correspond is same spot but diagonally.

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

Answer:

i think 6.59

Step-by-step explanation: