Given the functions below, find (g h) (1)
g(x)=x² + 4 + 2x
h(x)==3x
+ 2

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

x=16

I hope this helped

Answer:

X = 16

Step-by-step explanation:

The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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Answer:

0

Step-by-step explanation:

The solutions to the equation 4a²-14a=-50 are complex numbers, not real numbers. So, there are no real solutions to this equation. Therefore, the answer is 0.

Answer:

$677.25

Step-by-step explanation:

Money deposited: $375.45 + 614.20 + $187.60 = $1177.25

Money withdrawn: $500.00

Total deposit: $1177.25 - $500.00 = $677.25

Answer: $677.25

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

Given,

Membership plan is \(\$50\) per month.

We have to write a piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours.

Here, \(\$\)\($50\) per month fees includes 10 hours of driving each month, so the cost for a month is given as,

\(f(x)= 50+9(x-10)\)

Here \(x\) is the no. of additional hours for the month.

Further,

\(f(x)= 9x-40\).

Now at,

\(lim _{x \to 10^+}f(x) = 9\times 10-40\\\)

Or,

\(f(x)= 90-40\\f(x)=50\)

Similarly, at left limit,

\(lim _{x \to 10^-}f(x) = 9\times (-10)-40\)

Or,

\(f(x)=-90-40\)

\(f(x)=-130\)

Finally at \(x=10\), \(f(x)=9\times10-40\)

\(f(x)=90-40\\f(x)=50\)

Since \(lim{x \to}10^+\) \(\neq limx\to 10^-\neq f(x) (at x= 10)\)

So the required function \(f(x)\) is discontinuous at \(x=10\)

Hence the piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

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Given the expression x^2 + 8x + c, for us to get the constant c that will make it a perfect square we will use the completing the square method.

The constant can be gotten by taking the square of the half of coefficient of x in the equation.

The half of 8 will give us 8/2 = 4

Then we will square the resulting value 4.

4^2 = 16

Hence the value of c that will make it a perfect square is 16

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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Answer:

3÷8

=37.5%

$704x37.5%

=$264

ANSWER D

Answer:

0.1190

Step-by-step explanation:

If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;

P(z < - 1.18) = 0.1190

Also, to the right of z = 1.18, we have;

P(z > 1.18) = 1 - P(z < 1.18)

From the second image attached from z-table, we have;

P(z > 1.18) = 1 - 0.8810

P(z > 1.18) = 0.1190

Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190

Answer:

D

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you divide 45 by 3 you get 15 and then if you multiply 15 by 3 you get 45

Answer:

MY ANSWER IS 15

Step-by-step explanation:

BECAUSE 3×15=45

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

Answer is this or not

Step-by-step explanation:

16x^4y^3/3

Answer:

The answer is B- X= 31/25

Answer:

x = 31/25

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

Both sides have to equal the same, which is 145. 145-15=130, 130/2=65. So basically you have to do inverse operation to solve this.

Given: 9 pie is ordered and the cost before tax is 8#.25

To Determine: The unknown digits and the cost of each pizza

To achieve this, we would use the divisibility test for 9

The divisibilty test state that sum all the digit. it must be divisible by 9. Therefore

For that to be divisible by 9, then

Hence, the unknown digit is 3

The price of a pizza is

Hence, each pizza cost $9.25

Answer:

I think i don't know the answer i am so sorry!!!

maybe someone else can Answer

Step-by-step explanation:

let adults be x and childrens be y

a/q

11x + 5y = 270

14x + 9y = 370

→ x = -5/11y + 270/11 ; 14x + 9y = 370

→ 14(-5/11y + 270/11) + 9y = 370

→ y = 10

→ x = -5/11 × 10 + 270/11

→ x = -50/11 + 270/11

→ x = 20

therefore, we got

x = 20, y = 10

each adult have to pay 20 and each children have to pay 10

so,

2 × 20 = 40

3 × 10 = 30

40 + 30 = 70

for a family of 2 adults and 3 children they have to pay 70.

hope this helps you dear.

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

There is no difference between 5 cu ft and 5.0 cu ft.

Answer:

FEG = 67

Step-by-step explanation:

DEG = DEF + FEG

labeling FEG as x to make it simpler while calculating the answer

115 = 48 + x

115 - 48 = 48 - 48 + x

67 = 0 + x

67 = x

67 = FEG

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Answer:

a. 0.443

b. 0.023

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.

This means that \(\mu = 22, \sigma = 5\)

a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.

This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So

X = 26

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{26 - 22}{5}\)

\(Z = 0.8\)

\(Z = 0.8\) has a pvalue of 0.788

X = 20

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{20 - 22}{5}\)

\(Z = -0.4\)

\(Z = -0.4\) has a pvalue of 0.345

0.788 - 0.345 = 0.443

The answer is 0.443

b. Find the probability that a randomly selected turkey weighs below 12 pounds.

This is the pvalue of Z when X = 12. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{12 - 22}{5}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.023

The answer is 0.023.

An6wer:

Step-by-step explanation:

Answer:

Solution given:

radius of small circle[r]=16-4.5ft=11.5ft

radius of large circle[R]=16ft

nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft

circumference of large circle=2πR=2*3.14*16=100.48ft

distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle

=\(\frac{100.48}{72.22}=\frac{32}{23}\)

ratio is 32:23.

Answer:I believe its this

Step-by-step explanation:

you can see the step by step in the attached image as well as the result

Answer:

Rs 15500

Step-by-step explanation:

x = previous salary

0.20x + x = 18600

      1.20x = 18600

     /1.20      /1.20

             x = 15500