What is a 8-sided shape called?

Answer:

$25

Step-by-step explanation:

Let's first subtract the savings account

87.80 - 37.80 = $50

Which means after 10 weeks, she saves $50

$50/10weeks = $5/1 week

Now they save 20% of the route. Which means $5 is 20% of the route.

To get to 100% we multiply 20% by 5.

That means we multiply the $5 by 5 also, giving us $25.

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

Answer:  $29830

Step-by-step explanation:

Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.

Answer: 4.5

Step-by-step explanation:

Answer:

.55b = 30

Step-by-step explanation:

55% is .55

You have .55 of b = 30

.55b=30

Answer: B. 240

Step-by-step explanation: Hi there here is why your answer is this:

Area =  b × h

=  12 × 20

=  240 feet2

Hope this helps you!

Answer:

484ft

Step-by-step explanation:

Split the shape into different shapes like triangles and squares.

area of a triangle: [tex]A=\frac{ab}{2}[/tex]

Area of a square: A = l x w

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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The college running back ran for a total of 1732 yards in the regular season.

We can use the table provided to find out how many yards he gained after select games.

127 + 252 + 372 + 495 + 612 + 732 + 853 + 974 + 1089 + 1212 + 1335 + 1458 + 1581 + 1704 = 1732

From the table, we can see that the running back gained 127 yards in the first game, 252 yards in the second game, 372 yards in the third game, and so on. By adding up the yards gained in each game, we can find the total number of yards gained in the regular season.

Therefore, the college running back ran for a total of 1732 yards in the regular season.

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Knowing the height of a rim and the diameter of the rim, we have that the rim diameter is 27.4 in.

The tire diameter can be calculated by adding the rim diameter and two times the tire height.
Formula: Tire diameter = Rim diameter + (2 x Tire height)

Given:
Tire height = 5.2 in
Rim diameter = 17 in

Plug in the given values into the formula to find the value of the tire diameter:
Tire diameter = 17 in + (2 x 5.2 in)
Tire diameter = 17 in + 10.4 in
Tire diameter = 27.4 in

Therefore, the correct answer is 27.4 in.

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The given table is studied and the probability for each case of the question is found as given below.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.

Number of families surveyed = 2400

Number of families earning  10000 - 13000 per month and owning exactly 2 vehicles = 29

Therefore required probability = 29/2400 = 0.0121

2)  Earning 16000 or more per month and owning exactly 1 vehicle.

Number of families surveyed = 2400

Number of families earning 16000 or more per month and owning exactly 1 vehicle  = 579

Therefore required probability = 579/2400 = 0.241

3) Earning less than 7000 per month and does not own any vehicle.

 Number of families surveyed = 2400

Number of families earning less than 7000 per month and does not own any vehicle = 10

Therefore required probability = 10/2400 = 1/240

4) Earning 13000 - 16000 per month and owning more than 2 vehicles.

   Number of families surveyed = 2400

Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25

Therefore required probability = 25/2400

5)  Number of families surveyed = 2400

Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle

= (10+0+1+2+1)+(160+305+535+469+579)

= 2062

Therefore required probability = 2062/2400  = 0.86

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The mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

The outcomes of events that can be counted or are finite are included in a discrete probability distribution.

Contrast this with continuous distributions, where results can occur anywhere along a continuum.

The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

Data tests of "counts" or "how many instances" an incident occurs are frequently used in these distributions.

Discrete distributions are utilized in finance to price options and predict recessions or market shocks.

Using the graphing calculator, the mean and standard deviation of the discrete probability is calculated as follows.

Hence, the mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

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A subset is when all elements of any set A are present in another set B. Its working has been explained below.

Let us take two sets on random i.e., set A and set B. If we find that all elements of set A can be found in set B as well, we deem it to be a subset of set B. If we were to explain in simpler terms, we can say that set A is a part of set B.

Let us further assume that set A has the elements {1,2,3} and set {1,2,3,4,5,6}. From what we can see is that all elements in set A are also present in set B. This means that set A is a subset of set B.

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Answer:

1. y = 4x^2-4x+5 does not cross the x axis

2. C has imaginary roots

Step-by-step explanation:

See attached worksheet.

The interest rate that would be required is 5.39%. The solution has been obtained by using concept of compound interest.

What is compound interest?

Both the principal and the interest that has accumulated over the preceding period are taken into account when interest is calculated. In contrast to simple interest, which does not take the principal into account when calculating the interest for the following month, compound interest does. Compound interest is usually represented in algebra by the letter C.I.

We are given that Lamonte is going to invest $48,000 and leave it in an account for 17 years. She wants to end up with $120,000.

So, from this we get the equation as

120,000 = 48000e¹⁷ⁿ     ( n is the interest rate)

Solving this, we get

e¹⁷ⁿ = 2.5

n = 5.39%

Hence, the interest rate that would be required is 5.39%.

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Answer: The price is now 1.5 of what it was before is the correct answer.

Step-by-step explanation:For the given situation,

The statement is given as price increased by 1/2.

Let us assume, we have an item costs 1$.

Now the price is increased by 1/2, so we need to add the fraction to 1.

Answer:

1

Step-by-step explanation:

To predict the number of students who will receive historical fiction novels for free reading time, we need to use the concept of probability. Probability is the likelihood of an event occurring, and is expressed as a number between 0 and 1.

In this case, there are a total of 10 + 2 + 8 = 20 books in Miss Nestor's basket. Of these, 2 are historical fiction novels. Therefore, the probability of a student randomly selecting a historical fiction novel from the basket is:

P(historical fiction) = number of historical fiction novels / total number of books

P(historical fiction) = 2/20 = 0.1

This means that there is a 10% chance that a student will randomly select a historical fiction novel from the basket. To predict the number of students who will receive historical fiction novels, we can multiply the probability by the total number of students:

Number of students receiving historical fiction = Probability of historical fiction * Total number of students

Number of students receiving historical fiction = 0.1 * 10

Number of students receiving historical fiction = 1

Therefore, the best prediction of the number of students who will receive historical fiction novels for free reading time is 1.

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The height of the silo, to the nearest meter is, 84.9 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A surveyor needs to determine the height of a large grain silo.

And,  He positions his transit 65 m from the silo and records an angle of elevation of 52º.

Now, By the given condition we can formulate;

tan 52° = x / 65

x = 83.2 m

Here, the height of the transit is 1.7 m,

Thus, The height of the silo, to the nearest meter is,

83.2 + 1.7 m

84.9 m

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Answer:

392ft²

Step-by-step explanation:

We need to find out the area of the side walk .The area of the sidewalk will the difference of the areas of rectangles ABCD and EFGH .

The dimensions of rectangle EFGH is 35ft * 14ft

So it's area would be ,

A = l*b

A = 14ft * 35ft

A = 490ft²

Now the length of the rectangle EFGH will be,

l = 35ft + 2*3.5ft

l = 35ft + 7ft

l = 42ft

Again,its breadth will be,

b = 14ft + 2*3.5ft

b = 14ft + 7ft

b = 21ft

So it's area would be,

A = l * b

A = 42ft * 21ft

A = 882ft²

Therefore the area of the sidewalk will be,

ar(sidewalk) = ar(ABCD) - ar(EFGH)

ar(sidewalk) = 882ft² - 490ft2

ar(sidewalk) = 392ft²

and we are done!

Anser 15

Step-by-step explanation:

Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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The two planes that have created the parallel traits would be airplane 3 and airplane 5

To get the parallel lines, we would have to check the angles that are formed

for angle 3 angles on a line is 180

x + 110 = 180

x = 70 degrees

For angle 5

we can see that the position of x in 3 is the same position in 5

hence we can see that in plane 5, x = 70

hence these two would be parallel

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A polar to rectangular calculator equation is an online tool that converts polar coordinates (r, θ) to rectangular coordinates (x, y).

A polar to rectangular calculator equation is a math tool used to convert polar coordinates to rectangular coordinates. Polar coordinates are expressed in terms of a radius r and an angle θ, while rectangular coordinates are expressed in terms of x and y.

To use the calculator, users input the radius and angle in degrees or radians, and the calculator uses the formulas x = r cos(θ) and y = r sin(θ) to calculate the corresponding rectangular coordinates. This tool is commonly used in physics, engineering, and other applications that involve two-dimensional coordinates. It is also useful in graphing polar functions, such as polar curves or polar graphs.

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If the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The number of marbles you have will depend on the total mass of the marbles, as the number of moles is a measure of the amount of substance (in this case, marbles) rather than the actual number of marbles.

To calculate the number of marbles, you would need to know the mass of one marble, and then divide the total mass of the marbles by the mass of one marble.

For example, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would first calculate the total mass:

mass = number of moles x molar mass

where the molar mass of a single marble is equal to its mass in grams, and the number of moles is given as 2:

mass = 2 moles x 5 grams/mole = 10 grams

Then, you can calculate the number of marbles by dividing the total mass by the mass of one marble:

number of marbles = total mass / mass of one marble

number of marbles = 10 grams / 5 grams/marble = 2 marbles

Therefore, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

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The sum of the expressions 8x - 2 and - 3x² - 7 is, - 3x² + 8x - 9.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

Given, Two expressions, 8x - 2 and - 3x² - 7.

Now, Sum implies adding.

Therefore, The sum of 8x - 2 and - 3x² - 7 is,

(8x - 2) + (- 3x² - 7).

= - 3x² + 8x - 2 - 7.

= - 3x² + 8x - 9.

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The value of the missing angle of the diagram above would be = 78°

The total interior angle of a triangle = 180°

The value of the available angles given = 44° and 34°

The value of the third angle of the triangle = ?

That is ;

180 = 44+34+?

make ? the subject of formula;

? = 180 -78

? = 102°

But angle of a straight line = 180°

Therefore, <1 = 180-102 = 78°

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Answer:

I'd say the first and third options would be correct.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

If it is a fair spinner then

First option is true

second option is true

third option cannot be determined from info given  

4th option is true

The simplified form of the expression is -7/14, which is option C.

A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:

4/14 - 11/14 = (4 - 11)/14 = -7/14

Hence, the simplified form of the expression is -7/14, which is option C.

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1 milligram equals 0.001 grams. 1 gram is equal to 1000 milligrams.

So, 500 milligrams is equivalent to 0.5 grams.

The International System of Units uses the unit of mass known as the gramme (symbol: g) (SI).

The kilogramme serves as the basis for the definition of the gramme.

The SI base unit of mass is the gramme, which is one thousandth of a kilogramme.

The kilogramme, the foundation unit of mass in the SI (International System of Units), serves as the basis for the weight and mass unit known as the milligramme.

It is equivalent to 1/1,000,000 kilos or 1/1,000 gramme.

500 milligrammes equal 0.5 grammes.

grammes (g) from milligrammes (mg) (g),

You can divide the number of milligrams by 1000:

500 mg ÷ 1000 = 0.5 g

So,

500 milligrams is equivalent to 0.5 grams.

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From the given information provided, out of total sodas served, 42% of the sodas served were regular.

To find the percentage of sodas served that were regular, we need to calculate the ratio of the number of regular sodas to the total number of sodas served, and then express this ratio as a percentage.

The total number of sodas served is the sum of regular and diet sodas:

Total sodas served = 21 + 29 = 50

The number of regular sodas served is 21.

To find the percentage of sodas served that were regular, we can use the following formula:

Percentage of regular sodas = (Number of regular sodas / Total number of sodas served) x 100%

Substituting the values, we get:

Percentage of regular sodas = (21 / 50) x 100%

Percentage of regular sodas = 42%

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