The measures of the three sides of a triangle are 21 feet, 28 feet, and 35
feet. Determine whether the triangle is a right triangle.

The sales manager should allocate approximately 341311.111 for advertising in the budget.

Generally, Advertising expenditure refers to the amount of money that a company or organization spends on promoting their products or services through various forms of advertising media, such as television, radio, print, and online.

This can include costs for creating and producing advertisements, as well as fees for placing them on different platforms. Advertising expenditure can also be referred to as "advertising budget" or "advertising spend."

To find the advertising expenditure needed to reach a target sales volume of $200,000, we can use the equation provided: Estimated Sales Volume = 46.41 + 0.45(Advertising Expenditures)

We can set the target sales volume as the left-hand side of the equation and solve for the advertising expenditure:

200,000 = 46.41 + 0.45(Advertising Expenditures)

Subtracting 46.41 from both sides:

153,590 = 0.45(Advertising Expenditures)

To find the Advertising Expenditures, divide 153,590 by 0.45:

Advertising Expenditures = 341311.111

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Answer:

20x + 10

Step-by-step explanation:

Given that :

Number of $20 bill = x

Number of $10 bill = 1

Total amount of money can be expressed as :

Σ(Value of bill * number of bill)

Hence,

($20 * x) + ($10 * 1)

20x + 10

The expression for the amount of money Donald has is : 20x + 10

Answer:

Option (1)

Step-by-step explanation:

From the given number line,

Arrow starts from x = 1 with a hollow circle and moves towards negative numbers.

Hollow circle represents the sign of less than (<) or Greater than (>).

And arrow towards negative numbers represents the sign of less than (<)

Therefore, x < 1 will be the answer.

Option (1) will be the correct option.

The distance that Nick has to drive to reach Kansas will be at least 250 miles.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.

An inequality to determine how much farther Nick has to drive to reach Kansas City will be:

x > 325 -75

x > 250

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From the given data, the first and third graph are correct.

1. For the first graph,

the two equation are -

y = -2x - 4

-4x + y = 2

Let us check the common points for the given graph,

(-1,-2)                                            

y = -2x - 4                              - 4x + y = 2

-2 = -2(-1) - 4                           -4(-1) + (-2) = 2

-2 = -2                                       2 = 2

Hence it is correct.

2. For the second graph,

y = -3/2x - 2

y = -1/4x + 3

Common points are - (4,4)

y = -3/2x - 2                               y = -1/4x + 3

4 ≠ -8                                          4 ≠ 2

Hence it is not correct.

3. For the third graph,

y = -5

y = 3x + 1

Common points are - (-2,-5)

y = 3x + 1

-5 = -5

Hence it is correct.

The correct graph for 2, graph is below,

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Answer:

It would be triangles A & C

Step-by-step explanation:

This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:

Tri A:

180-110-30 = 40

Tri B:

180-45-30 = 105

Tri C:

180-110-40 = 30

When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.

Therefore, the two triangles are congruent.

Answer:

12.

Step-by-step explanation:

right!!

Yes Michael has 36 doughnuts 6 extra

3*12=36

36>30

Answer:

0.28

Step-by-step explanation:

1% = 0.01

0.01 × 28 = 0.28

Answer:

Integer - 72

Decimal - 72.3

Answer:

.here is the answer ............

The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logb(x)

The domain of the logarithmic function [tex]f(x) = log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logb(x)

The domain of the logarithmic function [tex]f(x)=log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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Answer:

483000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

48300000

We can write the above number as

4.83 x 10000000

=4.83 x 10 ^7

If the value of y = 0, then it make the straight line on the graph.

The term graph in math is defined as the way that is used to represent a set of data to make it easier to understand and interpret statistical information.

Here we have the expression y = 0.

And here we know that the y coordinate is constant which is 0 for given equation and only x coordinate is variable.

Therefore it represent the x-axis.

Therefore, basically y=0 is the linear equation to denote the x - axis, here as all the points on the x- axis, then we have their y co-ordinate = 0.

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Answer:

Very last choice is the answer.

Step-by-step explanation:

Remark

The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.

Solution

Hello there!

Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.

Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.

24 cars lacked power steering but did have air conditioning and an automatic gearbox.

According to the question,

No. of cars with Air conditioning = 88

No. of cars with Automatic transmission = 96

No. of cars with power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Power steering and automatic transmission both = 11

The calculation for missing values:

11 - 4 = 7

96-61-4-7 = 24

88-24-4-23=37

It is obvious that 24 cars lacked power steering but did have air conditioning and an automatic gearbox.

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Answer:

x = 11.2

Step-by-step explanation:

[tex]\frac{6.4}{x}[/tex] = [tex]\frac{4}{7}[/tex]

4x = 44.8

x = 11.2

Answer:

-24

Step-by-step explanation:

2(6)(-2)

Answer:

1.5

Step-by-step explanation:

a : b = 1 : 12/5

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius  

Let the radius of circle a = 1

Area of circle A = 1π

Radius of circle A = square root of 12/5 = 1.5

The circumference of a circle = 2nr

n = 3.14

circumference of circle A = 2 x n x 1 = 2n

circumference of circle B = 2 x n x 1.5 = 3n

ratio of circumference = 3n / 2n = 1.5

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.

In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulae.

In order to determine sin a without using the Pythagorean theorem, we will need to have the value of the opposite side and angle. Sin (a) = opposite / hypotenuseHere, the hypotenuse is not given, so we will need to have the value of the opposite side and angle (a) in order to determine sin a without using the Pythagorean theorem.

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To solve this we must be knowing each and every concept related to probability and its calculations. Therefore, the  probability of tossing heads is 0.000976.

Probability is the branch of mathematics concerned with the outcomes of random occurrences. Probability refers to the chance or potential of an outcome. It describes the likelihood of a specific occurrence occurring.

Probability denotes the possibility of something happening. It is a statistical discipline that deals only with probability of such a random event. The number ranges from 0 to 1, with 0 being an improbable event and 1 representing a certain event.

P(getting heads on one toss) = 1/2

P(getting all heads in 10 tosses)=(1/2)¹⁰

                                                     =1/1024

                                                   =0.000976

Therefore, the  probability of tossing heads is 0.000976.

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Answer:

x>8

Step-by-step explanation:

If x>5, then adding 3 to it must mean the term is greater than 3+5 which is 8.

Using the Central Limit Theorem for proportions, the correct option is:

E. The statistic is biased.

In plain English, what is the central limit theorem?

According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.

What is the central limit theorem and why is it significant?

Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.

                  Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.

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Answer:1

Step-by-step explanation:;

Answer:

3/22

Step-by-step explanation:

There's a very neat trick for this kind of problem.

First, choose a letter to represent the number.

n = 0.1363636...

Observe that there is a 2-digit block that repeats ("36"), but that block does not repeat immediately to the right of the decimal point.  Do two muliplications, one to put the decimal point in front of the repeating block, the other to put the decimal point after the block.

    10n =    1.363636...

1000n = 136.363636...

Here comes the cool part:  subtract the first equation from the second.

990 n = 135  See? The repeating decimal parts, all lined up as they are, subtract to zeros.

Finally, n = 135/990 = 15/110 = 3/22