What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18

Answer:

196, obtuse

Step-by-step explanation:

To go around a point, you would go 360 degrees

Let x be the third angle

113+51+x=360

164+x = 360

x = 360-164

x=196

Since the angle is bigger than 180 the angle is obtuse

Answer:

x= 21/4

Step-by-step explanation:

1- Convert the expressions

5 ( x - 3 3/4 ) = 7 1/2

2- Remove the parentheses

5 ( x - 15/4 ) = 15/2

3- Move the constant to the right

5x - 75/4 = 15/2

4- Calculate the sum

5x = 15/2 + 75/4

5- Divide both sides

5x = 15/2 + 75/4

Answer:

Step-by-step explanation:

13,000

The perimeter of shaded figure is 10 unit.

We know,

The perimeter of a figure is the total distance around its boundary. To calculate the perimeter, you need to sum the lengths of all the sides of the figure.

From the figure

length of rectangle = 4 unit

width of rectangle =  1 unit

Now, the perimeter of shaded figure

= 2 (l + w)

= 2 (4 +1 )

= 2 x 5

= 10 unit

Thus, the perimeter of figure is 10 unit.

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The measure of the angles are 60 degrees each

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

AOB = 138 degrees

Also, we have:

The line OX bisects the angle AOB

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

AOX = AOB/2 = 138/2 = 69

Also, we have

XOB = AOB/2 = 138/2 = 69

Hence, the angles are 69 degrees each

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Answer:

I think the answer are C, B, C, and A.

We have the experssion:

From this we can solve for y:

Now, we start our table, form -10 to 10:

x = -10 => y = -26/3

x = -9 => y = -8

x = -8 => y = -22/3

x = -7 => y = -20/3

x = -6 => y = -6

x = -5 => y = -16/3

x = -4 => y = -14/3

x = -3 => y = -4

x = -2 => y = -10/3

x = -1 => y = -8/3

x = 0 => y = -2

x = 1 => y = -4/3

x = 2 => y = -2/3

x = 3 => y = 0

x = 4 => y = 2/3

x = 5 => y = 4/3

x = 6 => y = 2

x = 7 => y = 8/3

x = 8 => y = 10/3

x = 9 => y = 4

x = 10 => y = 14/3

Here is the graph:

Answer:

Constantine

Step-by-step explanation:

In 330 A.D., Roman Emperor Constantine I chose Byzantium as the site of a “New Rome” with an eponymous capital city, Constantinople. Five years earlier, at the Council of Nicaea, Constantine had established Christianity — once an obscure Jewish sect — as Rome's official religion.

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

Since there are two of 112 blocks, it will be 112 ÷ 2

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

It should be noted that experimental probability is based on past observations and might not accurately predict future events.

It has been established that experimental probability is based on past observations or on historical data.

To determine the experimental probability of the high temperature being over 75 degrees on June 23rd, one would basically gather historical data of high temperatures on June 23rd from previous years. Then, one would calculate the proportion of times the temperature was over 75 degrees.

For example, if one had data for the past 10 years and on 7 of those years the temperature was over 75 degrees on June 23rd, the experimental probability would be 7/10 or 0.7 (or 70%).

Therefore, it's always a good idea to consult meteorological sources or weather forecasts for the most up-to-date and accurate information.

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Answer:

8.033

Step-by-step explanation:

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer:

Cov(X, Y) = 0

Step-by-step explanation:

X = Sum of the outcomes

Y = Difference between the outcomes (first - second)

Let the two outcomes of the die be A and B

X = A + B

Y = A - B

Cov(X, Y) = Cov( A+B, A-B)

Cov(X, Y) = Cov(A,A) - Cov(A,B) + Cov(B,A) - Cov(B,B)

Cov(X,Y) = Cov(A, A) - Cov(B, B)

Cov(X, Y) = Var(A) - Var(B)

A and B are identically distributed, Var(A) = Var(B)

This means that: Cov(X, Y) = 0

Answer:

1 1\8 cup

Step-by-step explanation:

take 2 1\4 divid by 2 = 1 1/4 cup

Answer:

Step-by-step explanation:

Given

Each recipe is

Answer:

$31.5

Step-by-step explanation:

-$45

-30 percent off of $45

30 times 45 divided by 100

1350/100

13.5

45-13.5

$31.5

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

Standard Form:

33,240

Expanded Notation Form:

 33,240 =

 30,000  

+ 3,000  

+ 200  

+ 40  

+ 0  

Expanded Factors Form:

   33,240 =

 3 × 10,000  

+ 3 × 1,000  

+ 2 × 100  

+ 4 × 10  

+ 0 × 1  

Expanded Exponential Form:

 33,240 =

       3 × 10^4

+ 3 × 10^3

+ 2 × 10^2

+ 4 × 10^1

+ 0 × 10^0

Word Form:

33,240 =

thirty-three thousand two hundred forty

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

275 miles

Step-by-step explanation:

Divide 605/11 to find out the rate.

Rate is 55 miles per hour.

5 * 55 = 275 miles

Answer:

Step-by-step explanation:

you can solve with an equation

605 : 11 = x : 5

x = 605 * 5 : 11

x = 3025 : 11

x = 275

or

605 : 11 * 5 =

55 * 5 = 275

The values of a and b if they are integers are -10 and 3

Surd functions are square root of prime numbers. Given the following equation;

10 - √18 = a +b√2

Equate the real and surd part to form the equation

b√2 = √18

2b² = 18

b² = 9

b = 3

Similarly

a = -10

Hence the values of a and b if they are integers are -10 and 3

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Answer:

Step-by-step explanation:

The function to find the number of phone users t years after 1996 is y= \(170(1.75)^t\).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.

Let the number of phone users t years after 1996 be y

The number of phone users t years after 1996 is

y= \(170(1+\frac{75}{100})^t\)

y= \(170(1.75)^t\)

Therefore, the function to find the number of phone users t years after 1996 is y= \(170(1.75)^t\).

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Answer: POQ = 125

Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

I accidentally gave myself a one star rating, that sucks.