Find the Central arc measure

Answer:

750

Step-by-step explanation:

A relative value indicating hundredth parts of any quantity. 1.5 is 0.2% of 750.

A relative value indicating hundredth parts of any quantity.

We need to find the number whose 1.5 is 0.2%.(one point five is zero point two percent)

Let x be the number which is 0.2% of a number 1.5.

The percentage value is converted to decimal value by dividing with 100.

0.2/100×x=1.5

zero point two divided by hundred time of x is equal to one point five.

0.002x=1.5

Divide both sides by 0.002

x=1.5/0.002

x equal to one point five by zero point zero zero two.

x=750.

x equal to seven hundred fifty.

Hence 1.5 is 0.2% of 750.

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Answer:

-36

Step-by-step explanation:

\( \frac{8 \times 2}{ - 4} - 8 \times 4 = \frac{16}{ - 4} - 32 = - 4 - 32 = - 36\)

Answer:

-36

Step-by-step explanation:

8x2=16 divided by -4 = -4 -32= -36

Answer:

411.39

Step-by-step explanation:

6.53 x 63 = 411.39

Answer:

13, 9, 0.75, 1/2, -0.75, -5, -7

-7, -5, -0.75, 1/2, 0.75, 9, 13

Step-by-step explanation:

Answer: 13, 9, 1/2, 0.75, -0.75, -5 , -7

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:

30

60

90

120

180

210

240

hope it helped have a good day mate

Answer:

-1.5

Step-by-step explanation:

To work out the gradient of the line, we use this equation:

\( \frac{y2 - y1}{x2 - x1} \)

Substituting in, we get:

\( \frac{5 - ( - 4)}{ - 2 - 4} \)

Which simplifies to:

\( \frac{9}{ - 6} = \frac{3}{ - 2} = - \frac{3}{2} = - 1.5\)

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

The possible rational zeros of f are:

±1/1, ±3/1, ±1/2, ±3/2

What is the Rational Zero Theorem?

The Rational Zero Theorem states that if a polynomial function f(x) has integer coefficients, then every rational zero of f has the form p/q, where p is a factor of the constant term of f and q is a factor of the leading coefficient of f.

In the case of the function f(x) = 2x³ - 8x² + 5x + 3, the constant term is 3 and the leading coefficient is 2. Therefore, the possible rational zeros of f are of the form:

p/q, where p is a factor of 3 and q is a factor of 2.

The factors of 3 are 1 and 3, and the factors of 2 are 1 and 2. Therefore, the possible rational zeros of f are:

±1/1, ±3/1, ±1/2, ±3/2

These are the possible rational zeros of f(x) based on the Rational Zero Theorem. However, not all of them may be actual zeros of f(x).

To determine which of these possible zeros are actual zeros of f(x), we can use synthetic division or other methods to test each possible zero.

Therefore, the possible rational zeros of f are

±1/1, ±3/1, ±1/2, ±3/2

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Answer:

See below

Step-by-step explanation:

Answer:

a. constant

Step-by-step explanation:

Answer:

No more than 10 dollars

Step-by-step explanation:

Facts!

The amount of the sale of the home is $2090181.82

From the question, we have the following parameters that can be used in our computation:

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

120 balls

Step-by-step explanation:

Ten dozen is 120.

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

Answer:

q=6 r=7

Step-by-step explanation:

2(15q-4r=62)

30q-8r=124

5q + 8r = 86

35q=210

q=6

5(6)+8r=86

30+8r=86

8r=56

r=7

The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.

Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.

Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.

-320 + 288 - 4m + 16 = 0.

-16 - 4m = 0

4m = -16

m = -16/4

m = -4.

Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

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Answer:

5/16

because you spent 5 of the 16th

Answer:

5/16

Step-by-step explanation:

true true because the total was 6 and she spent only 5.:>

Answer:

Step-by-step explanation:

It will be (4,-3) because when you do 180 degrees clockwise you are just doing the opposite of your coordinates. For exzample if you had the point m which is (-1,4) then you would rotate it 90 degrees clockwise on the graph which would be (1,4). now take the point positive (1,4) and rotate it 90 degrees again to get (1,-4). That will be rotating 180 degrees clockwise altogether.

The numeric values of the function are given as follows:

When x = 1, the function has a closed value on the graph at y = 4, hence:

g(1) = 4.

When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:

g(-12) = -10.

The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:

g(x) = -6 for -8 ≤ x < -1.

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