Given the following table with selected values of f (x) and g(x), evaluate f (g(2)).

x –5 –4 –1 2 4 7
f (x) 0 2 7 –1 –6 –4
g(x) –8 –1 2 4 7 1

–4
2
4
–6

Answer: 2 over 3

Step-by-step explanation: The GCF of 90 and 135 is 45. So,

divide 90 by 45 = 2

divide 135 by 45 = 3

Answer: 2/3

The value of 29% of the number 10 will be 2.9.

The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The value of 29% of 10 is calculated as,

⇒ 29% of 10

⇒ 0.29 x 10

⇒ 2.9

The value of 29% of the number 10 will be 2.9.

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Answer:

Step-by-step explanation:

To solve this problem, we need to standardize the IQ score using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

So, for x = 98, we have:

z = (98 - 100) / 15 = -0.1333

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.

Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).

Answer:

27 blocks not used in the castle

Step-by-step explanation:

35+18= 53

53-26=27

Answer:

John is 19 and Ann 26

Step-by-step explanation:

to be for real i just counted

Step-by-step explanation:

328×5×3÷100

100÷5=20

20÷2=10

328÷2=164

For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.

A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.

Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.

Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.

To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.

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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'

Answer:

D 40 square feet

Step-by-step explanation:

2×8=16

16÷2=8 is area of one triangle

8+8=16 is area of both triangles

8×3=24 is area of rectangle

24+16=40 square feet

Answer:

89.974

Step-by-step explanation:

The required quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.

Arithmetic involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

Here,
To simplify the given expression, we can start by factoring out the common factor of 2x from the numerator. This gives:

(16x⁻² - 8x⁻² - 2x⁻⁹) / 2x

Next, we can simplify the terms in the numerator by combining the like terms:

= (4x⁻² - x⁻⁹) / x

= 4x⁻²⁻¹ - x⁻⁹⁻¹
= 4x⁻³ - x⁻¹⁰

= 4x⁻³ - x⁻¹⁰

Therefore, the quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.

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Answer:

14.4 - proofs attached to answer

Step-by-step explanation:

proofs attached to answer

For the given sequence we have.

We have a sequence where each term is the double of the previous one.

So if we start with 9, we have:

g(1) = 9

g(2) = 2*9 = 18

g(3) = 2*18 = 36

g(4) = 2*36 = 72

That is the value of g(4).

Now the recursive formulas are trivial:

g(n) = 2*g(n - 1)

g(n) = 4*g(n - 2)

g(n) = 8*g(n - 3)

And finally, the quotient, we can write:

g(24)/g(21) as:

g(n)/g(n - 3)

And by the last recursive formula,we know that:

g(n) = 8*g(n - 3)

g(n)/g(n -3) = 8

So that is the answer there.

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There are 90 calories to 1 serving.

Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.

In the given question, we can deduce that;

270 calories in 3 servings would give;

amount of calories in 1 serving = 270/ 3

                                                   = 90

Also,

450 calories in 5 servings would give;

amount of calories in 1 serving = 450/ 5

                                                   = 90

Therefore, there are 90 calories to 1 serving.

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We can say that approximately 4.29 inches of rain fell in 15 minutes.

We can apply a proportion to determine the amount of rain that fell in 15 minutes.

We can calculate the proportion because we know that 12 inches of rain fell in 42 minutes:

x inches in 15 minutes equals 12 inches in 42 minutes.

where x is how much rain fell in 15 minutes.

We can cross-multiply and simplify to find x's value:

42 minutes equals 12 inches times 15 minutes (x inches)

180 = 42x

x = 180 / 42

x = 4.2857...

We may estimate that 4.29 inches of rain, rounded to the nearest hundredth, fell in 15 minutes.

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Answer:

60%

Step-by-step explanation:

Answer:

Option 1 is the correct choice

Step-by-step explanation:

All possible outcomes are represented with the exception of {HHT}

This would correspond to x

Option 1 is the correct choice

Answer:

Coordinates of center: (0, 5)

Radius of circle: 3

All statements and reasons are shown below.

A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.

According to the given figure:

4. In ΔFGH and ΔFJH,

        Statement                                   Reason

5. In ΔTVY and ΔXWY,

        Statement                                   Reason

6. In ΔKML and ΔPMN,

        Statement                                   Reason

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Answer:It has no solution

Step-by-step explanation:

The correct option c ) m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.

When a transversal divides two parallel lines, the resulting alternate interior angles are congruent.

Thus,  m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.

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The value of the function f(-10), f(2) and f(3) is 20201, 17 and 142 respectively.

According to the remainder theorem, when a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, the remainder is given by r = p(a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.

Given that, f(x)=2x⁴+x²-10x+1.

Here, f(-10)

Substitute x=-10 in the given function, we get

f(-10)= 2(-10)⁴+(-10)²-10(-10)+1

= 20000+100+100+1

= 20201

Substitute x=2 in the given function, we get

f(2)= 2(2)⁴+(2)²-10(2)+1

= 32+4-20+1

= 17

Substitute x=3 in the given function, we get

f(3)= 2(3)⁴+(3)²-10(3)+1

= 162+9-30+1

= 142

Therefore, the value of the function for x=-10 is 20201.

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The width of the canyon in the given image is 70 ft wide.

To find the width of the canyon, we can visually extend side DC and AE to form two sides of a rectangle.

Given that side DC is the same as side AE (80 ft), we can use this same reasoning to determine that the width is the sum of side AB and side BC, which is 35 + 35.

This gives us a width of 70 ft.

In a rectangle, the longer side is known as the length and the shorter side is known as the width.

Therefore, using the sum of side AB and side BC, we get a width of 70 ft for the canyon.

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Answer:

Step-by-step explanation:

200,000 square kilometers is a good estimate for the area of South Dakota because the actual area of South Dakota is approximately 199,729 square kilometers according to the United States Geological Survey (USGS).

This means that the estimate is only off by about 0.1% of the actual area. This level of accuracy is generally considered to be very good for an estimate, especially when dealing with large areas like states or countries.

Additionally, 200,000 square kilometers is a round number and easy to remember, making it a useful estimate in contexts where a precise value is not necessary. It also allows for quick comparisons with other areas or states that may be roughly similar in size.

Overall, 200,000 square kilometers is a good estimate for the area of South Dakota because it is reasonably close to the actual value, easy to remember, and useful for rough comparisons with other areas.

ALSO:

South Dakota is approximately 383 miles long (east to west) and 237 miles wide (north to south).

It has the approximate shape of a rectangle, its Area = (Base x Height)= (383 x 237)= 90,771.00 miles ^2 which are 235,095.81 Km^2. So by this geometric reasoning we can have a correct approximation of the area of ​​South Dakota.

Answer: (3,-1) = (0,2) (5,-2) = (2,1) (3,-5) = (0,-2) (-5,-5) = (-2,-2)

Step-by-step explanation:

We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).

To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.

We can start by graphing the set of points:

From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.

Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.

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As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.

Heat transfer is the transfer of energy from one place to another due to a difference in temperature. Heat transfer can occur through conduction, convection, and radiation. Heat is always transferred from hotter to colder objects and the rate of transfer depends on the temperature difference between the two and the material it is passing through. Heat transfer is essential in many natural and man-made processes.

The energy is moving in two directions. Cold is moving from the pan and into the butter, while the heat is moving from the butter and into the pan. This is known as a heat transfer. Heat transfers occur when two objects at different temperatures come into contact with each other. In this case, the cold pan is coming into contact with the warm butter, causing the heat to move from the butter and into the pan. This heat transfer causes the butter to melt. As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.

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Answer: it is 4:2

Step-by-step explanation: because it is a ratio, both sides can be divided by the same number and still have the same meaning. btw in this case both divided by 2

Answer:

94.3/C

Step-by-step explanation:

Hope this helps!