What is the arithmetic mean of 7 and 27?

To solve for a variable, simply isolate it.

f + 32 = -2
f + 32 - 32 = -2 - 32
f = 34

Answer:

The correct answer is -34.

Answer:

  (a)  83°

Step-by-step explanation:

You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.

The two angles, 5 and 6, are a linear pair, so are supplementary.

  ∠5 = 180° -∠6

  ∠5 = 180° -97°

  ∠5 = 83°

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Answer: 21 new children have come.

Data :

We simply have to subtract the number of children playing from the number of children who arrived after a while:

\(\bf \: 43 - 22 = 21\)

We check:

\(\bf \: 22 + 21 = 43\)

Rpt: 21 new children have come.

Answer:

4.9 cm

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

7*7 = x*10

49 = 10x

Divide by 10

49/10 =10x/10

4.9 =x

Answer:

4.9

Step-by-step explanation:

The intersecting chord theorem states that the product of the lengths of the line segments on each chord is equal.

10 × x = 7 × 7

10x = 49

x = 49/10

x = 4.9

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

18

Step-by-step explanation:

because 1st you do 8+3=11 then you do 11+7=18

solution is 18

Answer:

18

Step-by-step explanation:

8 crabs + 3 crabs is 11, and then add 7 more crabs to get 18 crabs in all

Answer:

37.50 UNITS SQUARE.

Step-by-step explanation:

add 6 to 9 you get 15

multiply 15 by 5 you get 75

divide 75 by 2

37.5

I hope it helps bye

Answer:

Step-by-step explanation:

To convert percents to decimals, remove the percent and move the decimal point 2 to the left.

4 % = \(\frac{4}{100}= 0.40\)

37% = 0.37

400% = 4.00 = 4

9% = 0.09

180% = 1.80

Answer:

400%=4.0 180%= 1.80 37%=.37 4%=.04 9%=0.09

Step-by-step explanation:

X is 60

Step-by-step explanation:

SWT - STW = X

145 - 85 = X

60 = X

Answer:

(1,1) is the answer

Explanation:

Both lines cross at (1,1)

Answer:

20% of the Congress is made of Senators.

Step-by-step explanation:

Our whole here is 500, since the House of Representatives and Senate combined would have 500 members in this case. So, we now need to find out how many senators there are.

\(2\) x \(50\) = \(100\)

Now, since we know the fact that there are 100 senators in Congress, we will find out what percent of 500 is 100.

100 = 20% of 500. To check, we will multiply 5 by 100. We get 500.

Therefore, the answer is 20%.

Answer:

I think it's c I haven't done those formulas in while

The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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Answer:

33.

Step-by-step explanation:

75%   x

100   44

x = (44 * 75 ) / 100 = 33.

Answer:

6.71 unit

Step-by-step explanation:

Given that:

Legs of a right angle triangle are 3 and 6

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Both legs are adjacent and opposite

Hence,

Hypotenus = sqrt(3² + 6²)

Hypotenus = sqrt(9 + 36)

Hypotenus = sqrt(45)

Hypotenus = 6.708

Hypotenus = 6.71

Answer:

7m

Step-by-step explanation:

product means multiplication

7×m = 7m

Answer:

6 3/8 ft tall

Step-by-step explanation:

Multiply the girl's height by 1 1/2 to find the boy's height.

1 1/2 * 4 1/4 =

(1+1/2) * (4+1/4) =

(2/2+1/2) * (16/4+1/4) =  ==> make common denominators to simplify  

                                            the sum of the fractions

((2 + 1)/2) * ((16 + 1)/4) =

(3/2) * (17/4) =  ==> simplify

(3*17) / (2*4) =

51/8 =  ==> make this into a mixed fraction

(48 + 3)/8 =   ==> 48 is a multiple of 8

48/8 + 3/8 = ==> simplify

6 + 3/8 = 6 3/8 ft tall

The transformation of the function g(x) is g(x) = 1/4f(x)

The type of transformation is dilation

The calculated value of k is 1/4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x) on the graph with the descriptions

x f(x) g(x)

−4 16 4

−2 4 1

0 0 0

2 4 1

4 16 4

By comparing the values of the functions, we have

16/4 = 4

This means that

g(x) = 1/4 * f(x)

So, we have

g(x) = 1/4f(x)

So, the function g(x) is g(x) = 1/4f(x)

This means that the type of transformation is dilation and the value of k is 1/4

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Answer:

\(\huge\boxed{\sf a^2+b^2+c^2 = 19}\)

Step-by-step explanation:

\(\sf (a+b+c)^2 = a^2+b^2+c^2 +2(ab+bc+ca)\\\\Put \ a+b+c = 7 \ and \ ab+bc+ca = 15\\\\7^2 = a^2+b^2+c^2 + 2(15)\\\\ 49 = a^2+b^2+c^2 + 30\\\\49 - 30 = a^2+b^2 +c^2\\\\a^2+b^2+c^2 = 19\\\\\rule[225]{225}{2}\)

Hope this helped!

A. The probability that none of the seven adult friends have done a one-time fling is approximately 0.314. B. The probability that at least one of the seven adult friends has done a one-time fling is approximately 0.686. C. The probability that no more than two of the seven adult friends have done a one-time fling is approximately 0.793.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

The probability of an adult doing a one-time fling is 0.15.

A. To find the probability that none of the seven adult friends have done a one-time fling, we can use the following formula:

P(none) = (1 - 0.15)⁷

P(none) ≈ 0.314

So the probability that none of the seven adult friends have done a one-time fling is approximately 0.314.

B. To find the probability that at least one of the seven adult friends has done a one-time fling, we can use the complement rule:

P(at least one) = 1 - P(none)

P(at least one) ≈ 1 - 0.314 ≈ 0.686

So the probability that at least one of the seven adult friends has done a one-time fling is approximately 0.686.

C. To find the probability that no more than two of the seven adult friends have done a one-time fling, we can use the binomial distribution with n = 7 and p = 0.15, and add up the probabilities of having 0, 1, or 2 friends who have done a one-time fling:

P(no more than two) = P(0) + P(1) + P(2)

P(no more than two) = C(7,0)(0.15)⁰(1-0.15)⁷ + C(7,1)(0.15)¹(1-0.15)⁶ + C(7,2)(0.15)²(1-0.15)⁵

P(no more than two) ≈ 0.793

So the probability that no more than two of the seven adult friends have done a one-time fling is approximately 0.793.

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Answer:

Step-by-step explanation:

50 percent of 39=

39/2=19.50

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

Answer:

d = 17

Step-by-step explanation:

The given arithmetic sequence is :

31, 48, 65, 82, ...

We need to find the common difference for this sequence.

First term, a₁ = 31

Second term, a₂ = 48

Common difference = a₂-a₁

= 48-31

= 17

So, the common difference for this arithmetic sequence is equal to 17.

Answer:

0.090909

Step-by-step explanation:

I used a calculator

Object will cover 21600 feet in 3 hours.

Distance is defined as the product of the speed and time.

The distance an object travelled is measured in distance per second here.

So, let us convert the hours into seconds to arrive at our answer.

One hour = 60 minutes = (60×60) seconds = 3600 seconds.

The object travels 2 feet for every second.

Then, total distance covered in 3 hours is

2×3×3600 = 21600 feet.

Hence, object will cover 21600 feet in 3 hours.

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Answer:

False

Step-by-step explanation:

4h+2-(h-6)

4h+2-h+6

3h+8