Choose the algebraic expression that describes: the product of six and n.
A. 6 - n
B. 6n
C. 6/n
D. 6 + n

Answer with Step-by-step explanation:

Assuming the two lines are parallel

Angle ABC= Angle BCD [Being alternate interior angles]

Angle BCD=22

Angle BCD+Angle DCE=180 [Angles in a straight line]

22+ Angle DCE=180

Angle DCE=180-22

Angle DCE= 158

Angle DCE= Angle BCF [ Vertically opposite angles]

Angle DCE=158

Angle ECF= Angle BCD [ Vertically opposite angles]

Angle ECF=22

Answer:

A.

Step-by-step explanation:

This is a geometric sequence with common ratio -12/-3 = 4  ( -48/-12  = 4 and  -192 / -48 = 4).

nth term = a1 r^(n - 1) so the 8th term

= -3 * (4)^(8 - 1)

= -49,152.

The 8th term of the geometric sequence is -768

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Formula for the n th term of a geometric sequence in the form

aₙ=a₁ rⁿ

Given sequence is   -3, -12, -48, -192, . . .

It is a geometric sequence with the ratio between consecutive terms is 4

i.e. r = 4

a₁ = -3

a₈ = -3 ×4⁸

   =-768

Thus the 8th term of this sequence is -768

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The improper Fraction is 21/20.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Mixed Fraction = 1 5/100

As, An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

So, writing the mixed fraction into improper fraction.

1 5/100

= (100+ 5)/ 100

= 105 / 100

= 21/20

Thus, 21 (numerator) > 21 (denominator).

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Answer:  The slope of the line is \(\frac{1}{5}\).

Step-by-step explanation:

To find the slope, m, of the line, we first find out two points in this line.

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

x = 9

DE = 13

EF = 36

DF = 28

Step-by-step explanation:

DF = EF

7x - 35 = 4x - 8

3x = 27

x = 9

DE = x + 4 = 9 + 4 = 13

EF = 4x - 8 = 4(9) - 8 = 36

DF = 7x - 35 = 7(9) - 35 = 28

Step-by-step explanation:

\( {12}^{2} + {9}^{2} = {a}^{2} \\ 144 + 81 = {a}^{2} \\ {a}^{2} = 225 \\ a = 15\)

Answer:

a = 15

a = - 15

Step-by-step explanation:

Exponentiation

12² + 9² = a²

144 + 9² = a²

so a equal to 15, -15

The given statement "A researcher decides to lower the alpha level that determines the critical region(s) prior to conducting a hypothesis test to increase the power of the hypothesis test." because it reduces the probability of making type I error.

Lowering the alpha level means that the researcher is reducing the probability of making a type I error, which is rejecting the null hypothesis when it is actually true. This means that the critical region(s) will be smaller and it will be more difficult to reject the null hypothesis.

However, reducing the probability of making a type I error will increase the probability of making a type II error, which is failing to reject the null hypothesis when it is actually false. To decrease the probability of making a type II error, the power of the test needs to be increased.

This can be done by increasing the sample size or by lowering the level of significance (alpha). By lowering the alpha level, the critical region(s) will become smaller, which increases the probability of rejecting the null hypothesis when it is actually false. Therefore, the power of the test will be increased.

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Answer:

D = 272 ft

Step-by-step explanation:  hope this helps. pls mark me brainliest

Answer: Perimeter: 110 ft

Area: 390 ft

Step-by-step explanation:

P=Perimeter. A=Area

P=25+20+30+7+(30-20)+(25-7)

P=25+20+30+7+10+18

P=25+50+17+18

P=75+35

P=110 ft

A=(30*7)+((25-7)*(30-20))

A=210+(18*10)

A=210+180

A=390 ft

Answer:

Step-by-step explanation:

B does not represent a possible relationship within a circle.  The circumference of B, based upon the given d = 7 in, is 21.99 in, not 19.5 in.

D. There is a negative correlation which indicates that as high school female athletes increase in weight, they tend to have less body fat.

The value of -0.035 represents the correlation coefficient between weight (pounds) and percent of body fat (BF%).

Interpreting the correlation coefficient: A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.035.

Since the correlation coefficient is negative (-0.035), it indicates a negative correlation between weight and body fat percentage.

Therefore, the correct interpretation is

There is a negative correlation which indicates that as high school female athletes increase in weight, they tend to have less body fat.

The negative correlation suggests that as weight increases, the body fat percentage tends to decrease for high school female athletes in this study. However, please note that the magnitude of the correlation coefficient (-0.035) indicates a relatively weak relationship between weight and body fat percentage.

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Answer:

my  dads a mechanic too

Step-by-step explanation:

bc i live with him so ik

Answer: $7.17

Hope this helps :)

the exact values of sin 2 a and tan 2 will be: tan 2a = (2 tan a)/(1 - tan^2 a) and tan 2a = (2(-(sin a)/(√(1 - sin^2 a))))/(1 - (-(sin a)/(√(1 - sin^2 a)))^2)

If sin a = (blank) and 90º < a < 180°, we know that a is in the second quadrant. To find sin 2a, we can use the double-angle formula:

sin 2a = 2 sin a cos a

We know sin a, but we need to find cos a. To do this, we can use the fact that sin^2 a + cos^2 a = 1. Since we know sin a, we can solve for cos a:

cos^2 a = 1 - sin^2 a
cos a = ±√(1 - sin^2 a)

Since a is in the second quadrant (where cosine is negative), we take the negative square root:

cos a = -√(1 - sin^2 a)

Now we can use the double angle formula:

sin 2a = 2 sin a cos a
sin 2a = 2 sin a (-√(1 - sin^2 a))

To find tan 2a, we can use the tangent double-angle formula:

tan 2a = (2 tan a)/(1 - tan^2 a)

We know sin a and cos a, so we can find tan a:

tan a = sin a/cos a
tan a = (blank)/(-√(1 - sin^2 a))

To find the exact value of tan a, we can use the fact that sin a is positive and cos a is negative in the second quadrant:

tan a = -(sin a)/(√(1 - sin^2 a))

Now we can substitute into the tangent double angle formula:

tan 2a = (2 tan a)/(1 - tan^2 a)
tan 2a = (2(-(sin a)/(√(1 - sin^2 a))))/(1 - (-(sin a)/(√(1 - sin^2 a)))^2)

Simplifying this expression requires some algebraic manipulation.

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Using proportions, it is found that Mrs. Wood should expect 1,898 books out of the 36,500 to have major damage.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For this problem, the proportion of books with major damage is:

43/(716 + 68 + 43) = 0.051995.

Hence, out of 36,500 books, the expected amount of books with major damage is:

0.051995 x 36,500 = 1898.

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The volume of the cylindrical fish tank is given by the equation

V = 282.74 inches³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylindrical fish tank r = 3 inches

The height of the cylindrical fish tank h = 10 inches

The volume of fish tank = πr²h

Substituting the values in the equation , we get

Volume of Cylindrical fish tank V = π x ( 3 )² x 10

On simplifying the equation , we get

Volume of Cylindrical fish tank V = 90π inches ³

Volume of Cylindrical fish tank V = 282.74 inches³

Therefore , the value of V is 282.74 inches³

Hence , the volume of cylindrical fish tank is 282.74 inches³

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Answer:

2

Step-by-step explanation:

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:

y=2/7x+34/7

Step-by-step explanation:

the slope of this line is 2/7.

y=2/7x+?

? is the y-intercept.

Looking at the line that we have graphed, we can see that it intersects at  34/7 y.

the equation for the line that goes through 4,6 and -10, 2 is

y=2/7x + 34/7

a.one-way independent ANOVA

Choose inferential test based on data type and research design. One-way independent ANOVA for 3+ independent groups. Two-way independent ANOVA for 2 independent variables. Two-way repeated ANOVA for repeated measures at multiple time points from same group. Two-way mixed ANOVA for both independent groups and within-group repeated measures.

Inferential tests are statistical tools that are used to analyze data and draw conclusions about a population based on a sample. The choice of the inferential test depends on the type of data and the research design used.

One of the most commonly used inferential tests is the ANOVA (analysis of variance), which compares the means of two or more groups. The one-way independent ANOVA is used to compare means of three or more independent groups, while the two-way independent ANOVA is used to analyze data with two independent variables.

The two-way repeated ANOVA is used when data is collected at multiple time points from the same group, while the two-way mixed ANOVA is used when data is collected from both independent groups and within-group repeated measures.

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Given: A quadratic equation,

Required: To transform the equation by completing the square.

Explanation: The general quadratic equation of the form,

can be transformed into a complete square by adding and subtracting the following term,

Hence, adding 4 and subtracting 4 from the given equation,

Now the equation can be transformed as follows,

or,

Final Answer: The

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor.

Step-by-step explanation:

I belive you asked for the defintion sorry if you weree asking for the anwser, also if u were asking for the anwser let me know and i will anwser it!

Im cacultaing the anwser now! I should be done soon!

Step-by-step explanation:

Simplify the equation using algebra in order to find the value of g.

Multiply each side of the equation by 8 to remove the fraction from g:

\(8( \frac{g}{8} ) = 8( \frac{9}{12} )\)

\(g = 6\)

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = \(\sqrt{(8-5)^2+(8-5)^2}\)

  = \(\sqrt{3^2+3^2}\)

   = \(\sqrt{9+9}\)

   = \(\sqrt{18}\) ⇒ r² = (\(\sqrt{18}\) )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

Answer:

im pretty sure its a 50% chance so 1/2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

on edge 2020

Answer:

5 guy below me is right too

Answer:

Step-by-step explanation:

(a)

f(-2)

2(-2)-1

-4-1

-5

(b)

h(3b)

2(3b)²+3b-1

2(9b²)+3b-1

18b²+3b-1

9

(c)

x+1 - 3(2x-1)-2(2x²+x-1)

x+1 - 6x+3-4x²-2x+2

-4x²-7x+6

(d)

(f-g)(-2)

2x-1-(x+1)

2x -1 - x - 1

x - 2

-2 - 2

-4

(e)

((2x²+x-1)(x+1))

2x³+2x²+x²+x-x-1

2x³+3x²-1

Answer:

10

Step-by-step explanation:

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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After the calculation of the expression (32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

We concluded that the answer will be (80x+30) ÷ 58 × (11+33x²)

Expressions can be written in different forms such as numerical, algebraic, or geometric expressions. Examples of numerical expressions include 5 + 2, 3 × 8, and 10 ÷ 2. Algebraic expressions involve variables and algebraic operations, such as x + 3, 2y - 5, or 4a² + b. Geometric expressions involve formulas and measurements for calculating properties of shapes, such as the area or perimeter of a rectangle.

Expressions can be simplified by performing arithmetic or algebraic operations to reduce them to their simplest form. For example, the expression 3x + 2x can be simplified to 5x by combining the like terms.

Without an equal sign or any other relation, it is not possible to find the value of x. So according to my expression we can solve it as:

(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

We can simplify each of the terms step by step:

(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

= (32+4×(16x)-8) ÷ (6×4+5) × (44) ÷ (20(1+3x²) ÷ 2×16 ÷ 30)

= (32+64x-8) ÷ (29) × (44) ÷ (20+60x²) ÷ (8/15)

= (64x+24) ÷ (29) × (44) ÷ (20+60x²) × 15/8

= (16x+6) ÷ (29/2) × (11/5+33/5x²)

= (16x+6) ÷ (58/5) × (11+33x²)

= (80x+30) ÷ 58 × (11+33x²)

Therefore, the solution is:

(80x+30) ÷ 58 × (11+33x²)

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