24. Find fl-1).For questions 24-27, use the graph below.25. Find f(4).26. Find f(-3).27. If f(x) = 9, find x.

The probability of the sample required where the range is 7 is 0.1 .

The range of a sample is the difference of the maximum and minimum values.

The range of the sample to be 7, the maximum and minimum values should be 8 and 1.

The outcomes required are (8,1).

The total probability of the sample for 2 measured values:

P=[tex]C_{5,2}[/tex]

P=5!/(2!(5-2)!)

P=5!/(2![tex]\times[/tex]3!)

P=20/2

P=10

The probability of the outcome desired,

=(required outcomes)/(total outcomes)

=1/10

=0.1

The probability of the outcome required is 0.1 .

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Step-by-step explanation:

x + y = 180° (linear pair)

Also, x = 3y (corresponding angles are equal)

So, 4y = 180

y = 45°

x = 135°

The value of side CA of the right angle triangle is 8.85.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles. The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths.

Given that △ABC has a right angle at C, BC=7.7 centimeters, and m∠A=41∘.

The value of side CA is calculated, from the right angle triangle applying the angle property,

tan41 = (7.7)/(CA)

CA = (7.7)/(tan41)

CA = 8.85

Therefore, the value of side CA of the right angle triangle is 8.85.

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In order to determine the number of required square feet to paint the nose cone, use the following formula for the surface area of a cone without the base:

where

r: radius of the base of the cone = 3 ft

l: slant height of the cone = 6 ft

replace the previous values of the parameters into the formula for S and simplify:

Hence, 56,5ft^2 are required

The principal is $28000 with rate 12% compounded yearly .

To determine the balance after 4 years,

The balance in the account after 4 years is the sum of principal and simple interest.

Thus, the balance in the account after 4 years is 41440 dollar.

The measure is 5.

From the question, we have

E is the circumcenter. The distance from circumcenter to all of their vertices from that triangle are the same, so

NE =EP

⇒13x -28 = 6x +7

⇒13x -6x = 28 +7

⇒7x = 35

⇒x= 5

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

Complete question: Find value of x, measure of NE,MD?

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To plot the graph of the function:

According to your graphing software, we need to find the smallest value of the function, and any point at the positive slope side of the function. Let's start with the minimum point. Let's use the general formula for an absolute value function:

The coefficients 'b' and 'c' determinates how much the function was translated from the origin. The 'b' determinates in the x-axis, and the 'c' determinates in the y-axis.

If the 'b' is positive, the function translated to the left, if it is negative the function translated to the right.

If the 'c' is positive the function went up, and if it is negative it went down.

Now let's analyze our h(x) function. Our coefficients are:

Which means our minimum point is

Now, we just need to calculate any point to the right of x = -1.

Let's calculate for x = 0.

The second point is (0,7)

Answer:

70%

Explanation:

The probability can be calculated as the number of free throws that Dylan makes divided by the total number of free throws.

So, if Dylan makes 7 out of 10 free throws, the probability can be calculated as:

Then, to know the probability as a percent, we need to multiply 0.7 by 100% to get:

P = 0.7 x 100% = 70%

Therefore, the answer is 70%

Option B

Using the law of indices

Based on the given function,

a) The price that yields the maximum profit is $20.

b) The maximum profit is $6,050

Function

Function defines the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Given,

A rock club's profit from booking local bands depends on the ticket price. Using past receipts, the owners find that the profit p can be modeled by the function p = -15t² + 600t + 50, where t represents the ticket price in dollars.

Here we need to find the price that yields maximum profit and the amount of maximum profit.

In order to find the price that yield the maximum profit, we have to find the value of t, that can be obtained by using the formula,

t = -b/2a

According to the given function the values of a = -15 and the value of b = 600

Apply these values on the given function then we get,

t = -600/ 2(-15)

t = -600/-30

t = 20

Therefore, the price that yields the maximum profit is $20.

Now, we need to find the maximum profit, by apply the value of t as 20 in the given function then we get,

p = -15(20)² + 600(20) + 50

P = -15(400) + 12000 + 50

p = -6000 +  12000 + 50

p = 6000 + 50

Therefore, the maximum profit is $6,050.

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Given:

The radius of the circle = 12 feet

The circle diameter = two times of the radius

so, the diameter = 2 * 12 = 24 feet

So, the answer is 24 feet

Using the distributed property, the simplified form of -2(-x+5y-4) is 2x-10y+8.

In the equation question,

The given expression is -2(-x+5y-4).

We have to simplify the given expression.

We simplify the given expression using the distributed method.

In the distributed method we have to multiply the number outside the bracket to all the terms that are inside the bracket.

As a(b+c) = ab+bc

In the given question there is -2 outside the bracket and -x+5y-4 is inside the bracket.

To simplify the given expression we multiply -2 to each term inside the bracket.

-2(-x+5y-4) = (-2)×(-x)+(-2)×5y-(-2)×4

Simplifying

-2(-x+5y-4) = 2x+(-10)y-(-8)

Simplifying the bracket

-2(-x+5y-4) = 2x-10y+8

Hence, the simplified form of -2(-x+5y-4) is 2x-10y+8.

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Answer:

12

Step-by-step explanation:

72 / 2 =36

36 / 3 = 12

12, 24, 36, 48, 60, 72.

Answer:

Step-by-step explanation:

C because its right

Answer: since the distance between f and g is 20 units and is then reduced to 4 units long, it's scale factor would be 0.2

Step-by-step explanation:

Sorry if you get this wrong, i tried really hard on this and watched a video

The units of weight of watermelon on the digital scale could be kilogram, gram and pounds.

According to the question,

We have the following information:

A watermelon is placed on a digital scale. The scale reads 10.5.

We know that there are several units of measurements for every physical quantity. For example, the units for measuring length are kilometers, meters, centimeters, feet, inches and many more.

In the same way, there are many units for measurements of weight. However, in most of the cases for the weight on a digital scale, it can be kilogram, gram or pound.

So, it could 10.5 kg or 10.5 g or 10.5 pounds.

Hence, the units of the weight of watermelon on the digital scale could be kilogram, gram and pounds.

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Answer:

True

Explanation:

By applying the distributive property of multiplication, an expansion of this mathematical expression can be written as 3(x - 2) = 3x - 6.

In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Mathematically, the distributive property of multiplication can be represented by this mathematical expression:

a(b + c) = ab + ac.

a(b - c) = ab - ac

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

3(x - 2) = 3(x) - [3(2)]

3(x - 2) = 3x - 6

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The distance, in miles, between Mora's house and her cousin's house will be 3000 miles as "2 centimeters on the map represent 300 miles. On the map, the distance between her house and her cousin's house is 20 centimeters."

The unitary method involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method is a way of finding any required quantity's value by first finding the value of the unit (one) quantity.

here,

2 cm=300 miles

1 cm=150 miles

so,

20 cm=

150*20=3000 miles

Mora's residence and her cousin's residence are separated by 3000 miles in miles "On the map, a centimeter equals 300 miles. Her house is 20 centimeters from her cousin's house, according to the map."

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First, locate any two point from the line.

(15, 150) and (25, 130)

x₁ = 15 y₁= 150

x₂ = 25 y₂ = 130

Next, is to find the intercept.

Substitute x=15 y=150 and m=-2 into y=mx + b and solve for b

That is;

150 = 15(-2) + b

150 = -30 + b

Add 30 to both-side of he equation

150 + 30 = b

180 = b

Form the equation by substituting m=-2 and b=180 into y=mx + b

y = -2x + 180

Hence, the line function is y = -2x + 180

Answer:

Step-by-step explanation:

11000*0.91=10010

10010*0.91=9109.1(approximately 9109)

keep going until you find the year you want

Answer:

Step-by-step explanation:

1+2+4=7

70/7=10

10 x 1=10     10 x 2=20    10 x 4=40

10:20:40

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Step-by-step explanation:

let's multiply the first equation by 2 and the second equation by -3, and then we add them together :

26x - 12y = 4

-9x +12y = 30

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

17x 0 = 34

x = 2

and now we use one of the original equations to solve for y :

3×2 - 4y = -10

6 - 4y = -10

-4y = -16

y = 4

the solution is (2, 4).

Using cosine rule, the length of side t is 31.5 unit

Cosine rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

t² = s² + u² -3su cos(T)

let's define our variables

substituting the values into the formula

t² = 34² + 40.5² -2(34)(40.5)cos49

t² = 1156 + 1640.25 - 1806.79

t² = 989.46

t = √989.46

t = 31.5

The length of t is 31.5 unit

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From the given equation y=16, it implies that the line has no slope.

Hence, the slope is zero (0).

From the given point:

The equation of the line is given by the equation:

Hence, the equation of the line is y=43

The volume of the cone:

The radius of the cone, r = 2 in

The height of the cone, h = 4 in

The volume, V, of a cone is given by the formula:

Substituting r = 2, h = 4, and π = 3.14 into the formula for calculating the volume shown above:

Remember that

If f is continuous over [a,b] and differentiable over (a,b), then there exists c∈(a,b) such that

In this problem, we have the function

over the interval [1,3]

so

f(a)=f(1)=9/(1)^3=9

f(b)=f(3)=9/(3)^3=1/3

substitute

Find out the first derivative f'(x)

Equate the first derivative to -13/3

therefore