The graphs represent functions f and g.
(f+g)(2) =
(f-g)(2)=
(fg)(2)=

Answer:

27.33917°

Step-by-step explanation:

27° 20' 21"

= 27° + 20'/60 + 21"/3600

= 27.33917°

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 +  3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

the integral ∫[1, 5] xg'(x) dx evaluates to -6.To evaluate the integral ∫[1, 5] xg'(x) dx, we can use the Fundamental Theorem of Calculus, which states that the integral of the derivative of a function is equal to the difference in the values of the original function evaluated at the limits of integration.

Let's denote the original function g(x). According to the given information, g(1) = 1 and g(5) = -5.

Since the integral of g(x) from 1 to 5 is -10, we have:

∫[1, 5] g(x) dx = -10.

Now, we can apply the Fundamental Theorem of Calculus. Differentiating both sides of the equation:

g(5) - g(1) = -10.

Substituting the given values:

-5 - 1 = -10.

Simplifying further:

-6 = -10.

Therefore, the integral ∫[1, 5] xg'(x) dx evaluates to -6.

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Answer:

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

\(44\)

hope this helps you.

brainliest appreciated

good luck! have a nice day!

The value of x is 26.5, found using the property of intersecting chords in a circle and the Pythagorean theorem.

To find the value of x, we can use the property that states that if two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we can draw radii from O to points P and S, and label their lengths as 19. Then, we can label the segments of chords FG and RS as follows:

                     Let a = FG and b = GP

                      Let c = RS and d = SP

Since OP is a radius of the circle, we know that a + b = 19. Similarly, since OS is a radius of the circle, we know that c + d = 19.

Using the property mentioned above, we can write:

                      a * b = c * d

Substituting the given values, we get:

                   25 * (19 - b) = 28 * (19 - d)

Expanding and simplifying, we get:

                      475 - 25b = 532 - 28d

Substituting a + b = 19 and c + d = 19, we get:

                 b = 19 - a and d = 19 - c

Substituting these values, we get:

                 25a - 25(19 - a) = 28c - 28(19 - c)

Simplifying, we get:

                    53a - 475 = 28c - 532

Rearranging, we get:

                       53a - 28c = -57

We also know that a + c = 25 + 28 = 53.

We can solve these two equations simultaneously to find the values of a and c:

                        a = 13.8

                        c = 39.2

Therefore, the length of the segment RS is 39.2, and the length of the segment RP19S is 58.2.

Using the Pythagorean theorem, we can find the length of the segment OP:

                  (OP)²= (RP19S)² - (19)²

                  (OP)² = (58.2)² - (19)²

                  (OP)² = 3136.24

                        OP = 56

Finally, we can find x using the fact that the chords FG and RS are parallel:

                           x = (1/2) * (FG + RS)

                           x = (1/2) * (25 + 28)

                           x = 26.5 (rounded to the nearest tenth)

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Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

\(a^{2}+ b^{2} = c^{2}\), in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

\(9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP\)

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

Step-by-step explanation:

Let L and W be the length and width of the rectangle, respectively.

We know that the perimeter, P, of a rectangle is given by:

P = 2L + 2W

In this case, P = 16 cm, so we have:

16 = 2L + 2W

Simplifying, we get:

8 = L + W

To find the greatest area of the rectangle, we need to maximize the product of L and W, which is the formula for the area, A:

A = L * W

We can solve for one variable in terms of the other using the equation we found earlier:

L = 8 - W

Substituting this into the formula for the area, we get:

A = (8 - W) * W

Expanding and simplifying, we get:

A = 8W - W^2

To find the maximum value of A, we can use calculus or complete the square. Completing the square, we get:

A = -(W - 4)^2 + 16

Since the square of a real number is always nonnegative, the maximum value of A occurs when (W - 4)^2 = 0, which is when W = 4.

Substituting this value back into the equation for the perimeter, we get:

8 = L + 4

L = 4

Therefore, the rectangle with a perimeter of 16 cm and the greatest area is a square with sides of length 4 cm, and its area is:

A = L * W = 4 * 4 = 16 square centimeters.

The answer is 18.84 because pie times the radius squared is 18.84

Answer:

18.84

Step-by-step explanation:

first you  mulitiply 3.14 by two then you mulitiply what you get by 3cm

If David can unload a delivery truck in 20 minutes. Allie can unload the same truck in 35 minutes. If they work together, the time it will take to unload the truck  is: 15.56 minutes .

Since David can unload the truck in 20 minutes or 1/20 of the job, in just one minute. Similar to Allie she can finish 1/35 of the task in under one minute.

Both of them will collectively finish a portion of the work in one minute that is equal to the sum of their individual rates:

1/20 + 1/35

= 9/140

Together they will unload the vehicle in the following locations:

1 / (9/140)

= 15.56 minutes

Therefore the time is  15.56 minutes .

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Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

In conclusion, Y represent the dependent variable or response variable in a linear regression.

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Answer:

50

Step-by-step explanation:

................

..............

The general equation of the ellipse is as follows:

where (h, k) is the center of the ellipse.

Thus, the center of the given ellipse is (6,-3).

The endpoints of the major axis is given by the following expression:

From the given equation, the value of a² is 100. Thus, the value of a is 10.

Substitute the value of h, k, and a into the coordinates of the endpoints of the major axis.

Thus, the endpoints of the major axis are (6,7) and (6,-13).

This means that the endpoints of the major axis is 10 units away from the center.

On the other hand, the endpoints of the minor axis is b units away from the center. The value of b can be obtained from the equation.

Since b² is 36, the value of b must be 6. Thus, the endpoints of the minor axis is 6 units away from the center.

To graph the ellipse, the endpoints of the minor and major axes must be connected with a smooth curve.

To obtain the endpoints of the minor axis, substitute h, k, and b into the following coordinates.

Thus, the endpoints of the minor axes are (0,-3) and (12,-3).

Finally, to graph the ellipse, draw a smooth curve passing through the endpoints of the major and minor axes: (6,7), (6,-13), (0,-3) and (12,-3).

To know which girl ate the most, we have to compare the two fractions.

To be able to compare the fractions, we can:

1.- We convert to decimal numbers.

2.- We modify the fractions such that both fractions have the same denominator.

To compare the fraction we will change them in a way that both have the same denominator.

Recall that a fraction represents the same number if we multiply it and divide it by the same number.

Notice that:

Since both fractions are the same, we can conclude that both girls ate the same amount.

Answer: 3/6 is equal to 4/8.

Both girls ate the same amount

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

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Answer:

25 students didn't like any of the games

Step-by-step explanation:

20-15=5     40-10=30

20-5=25

The probability that a woman tests positive given that she has breast cancer is 7/8 and the probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.

Probability is the possibility of happening an event.

Since 14 of 16 have breast cancer test positive, the probability is:

p = 14/16

p = 7/8

Therefore, the probability that a woman tests positive given that she has breast cancer is 7/8.

The number of women who test negative is:

2000 - 154

= 1846

Therefore, 1846 out of 2000 women test negative.

The probability of a woman testing negative is:

p = 1846/2000

p = 923/1000

Therefore, The probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.

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Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Answer:1/125

Step-by-step explanation:

Answer:

15.6x

Step-by-step explanation:

If you have a varible it is writen like above

\(\huge\text{Answer:}\)

\(\huge\mathrm{15.6x}\checkmark\)

\(\huge\text{Solution:}\)

15.6 times x can be written as

15.6x

Notice that we put the number before the variable, so we can't write x15.6, we write 15.6x.

We can also write 15.6*x, but we usually write it as 15.6x

So, 15.6 times x can be written as

15.6x (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bold{-MistySparkles^**^*}\)

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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Ok, the range is the set of values that the function can take in y, so according to the graph in this case it is:

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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Answer:

Step-by-step explanation:

We know that a triangle angles total equals 180 so we could use the numbers and the equation, add it up and then find the value of x

(7x + 3) + 85 + 50 = 180

7x + 138 = 180

7x = 180-138

7x = 42

x = 6

Now that we found the value of x we can know substitute the value into the equation to find the value of the angle.

7x+3

42+3

45

Answer:

2376

Step-by-step explanation:

given 135MPH

convert it inches per second

as 1MPH=7.6 inches per second

so

135×7.6

2376 inches per second

Answer:

LOL, its Shuhuai from Accelerated Science. I just finished the question and copy and pasted it to check it. I'm like, nobody is going to answer this because my teacher just made it up. And I see the top result is your comment,  but hey at least I got the question correct. But yeah, i just thought it was a bit coincidental lol.

Step-by-step explanation:

Answer:

In this problem, we have three vertices, namely:

A(-2,2) , B(-2,4) , C(0,0)

Our transformation rule is (x+3,y-2) and this rule forms the image A'B'C'. So:

Step-by-step explanation:

A'=(-2+3,2-2)=(1,0)

B'=(-2+3,4-2)=(1,2)

C'=(0+3,0-2)=(3,-2)

Taking a look in the First Figure, we can see the two triangles. The red one is the triangle ABC and the blue one is A'B'C'. In the Second Figure, the corresponding vertices have been connected with line segments, as indicated the green lines. The characteristics of those three lines are two, namely:

They are parallel.

They have the same length.

Answer:

210 (numbers between )

Step-by-step explanation:

Answer:Here is the algebraic solution: T is the tens digit O is the ones digit T+O = 14 So

Step-by-step explanation:O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.

Answer: Check out the diagram below for the filled out table

Equation is y = 1.5x

Box for row one = 330

Box for row two = 1000

Box for row three = 1.5

===========================================================

Explanation

The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope

slope = y/x = 300/200 = 1.5

This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.

The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.

So if x = 220, then y = 1.5x = 1.5*220 = 330

220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.

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

We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).

y = 1.5x

1500 = 1.5x

1.5x = 1500

x = 1500/(1.5)

x = 1000

Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.

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

The third row of the table is going to follow the same steps as the first row.

y = 1.5x

y = 1.5*1

y = 1.5

One gram of fish produces 1.5 calories

The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.

The estimate of the given fraction, 15 9/10 + 5 3/7, is 21

From the question, we are to estimate the answer of the given expression

From the given information, we have a fraction expression.

The given expression is

15 9/10 + 5 3/7

To estimate the answer, we will add the fractions

First,

Convert the fractions from mixed to improper fractions

159/10 + 38/7

Find the LCM of 10 and 7

LCM of 10 and 7 = 70

Using the LCM, add the fractions

[7(159) + 10(38)]/70

(1113 + 380)/70

1493/70

= 21 23/70

≈ 21

Hence,

The estimate is 21

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