Type the correct answer in the box. Round off your answer to the nearest integer.
Angle A and Angle C are right angles. m

Answer:

The first one

Step-by-step explanation:

[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]

The expression removes the first 9 terms of the summation so the summation goes from 10 to 19

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

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Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

when we count, we know that there are 8 possible outcomes as to where the spinner will land.

{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}

We know that two of these 8 possibilities are "A"

This means that A has a 2/8 chance of being landed on

we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions

to calculate percentage, we can follow through with our equation of 1/4

[divide 1 by 4]

1 / 4 = 0.25

We multiply this number by 100 to find percentage,

0.25 × 100 = 25

meaning that A has a 25% chance of being spun

hope this helps!! have a lovely day :)

Answer:

25%

Step-by-step explanation:

2 / 8 = 0.25

0.25 = 25%

Answer: Choice C

[tex]x < -2 \text{ or } x \ge 4[/tex]

==========================================

Reason:

The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.

The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.

We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.

The rotation about the origin that is equivalent to R-200° is; C. R160

We are given;

Origin = -200°

Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.

Thus;

By adding 360° to -200°, we have;

α = -200° + 360°

α = 160°

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The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

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Answer:

DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.

Step-by-step explanation:

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A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

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Answer:

−1, 2, −3; continues downward to the left and upward to the right

Step-by-step explanation:

The length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of a rectangle is represented by the expression [tex]6x^3y^5[/tex].

The area of the rectangle = [tex]2x^2y^2 \times 3xy^3[/tex]

                                          = [tex]6x^3y^5[/tex]

So, the length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]

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Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)

[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction -1(-7) / 4 x 9.

[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]

Answer:

No

Step-by-step explanation:

I will not do hard questions

An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.

Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,

Rope left = 84 inches - 34.5 inches

Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,

The number of sections, n = Rope left/8.25 inches

                                             = (84 -34.5)inches /8.25 inches

                                              = 6

Hence, the number of sections that Mario can cut from the rope is 6.

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The correct simplification of the expression is  4x¹⁴y¹⁷

Given,

The expression is (2x⁷ y)² (y⁵)³

To distribute the exponent, apply the power rule (ab)ⁿ = aⁿbⁿ

Implement the product rule to (2x⁷y)².

Here, we have a = 2x⁷ , b = y and n = 2

=(2x⁷)² y²(y⁵)³

= 2²(x⁷)² y²(y⁵)³

= 4(x⁷)² y²(y⁵)³

Now exponents should be multiplied while using the product rule.

The product rule is (aˣ)ⁿ = aˣⁿ

We apply this to (x⁷)² and (y⁵)³

So the expression becomes,

=4x⁷·² y² (y⁵·³)

= 4x¹⁴ y² y¹⁵

∵ In exponents we have a rule that if bases are same then powers are added i.e, aˣ aⁿ = aˣ⁺ⁿ

∴ 4x¹⁴ y¹⁵ ⁺ ²

= 4x¹⁴ y¹⁷

Hence we get the answer as 4x¹⁴ y¹⁷

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Answer:

x = 10

Step-by-step explanation:

4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side

4x + 3x - 3 = 67

7x - 3 = 67 ( add 3 to both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Hi. . .

✦•···················•✦•···················•✦

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

Let's solve your equation step-by-step ~

[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]

[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]

[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]

[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]

[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]

[tex]\sf{7x \: - \: 3 = 67}[/tex]

[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]

[tex]\sf{7x = 70}[/tex]

[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

Hope It Helps...

Answer:

59 ° F

Step-by-step explanation:

F = 9/5 C + 32

 = 9/5 (15) + 32 = 59 °  F

Answer:

What is the common ratio between successive terms in the sequence?

27, 9, 9, 1,

3,

of

Answer:

(n/m) - p

Step-by-step explanation:

Image attached

The figure that shows the reflection of the letter Z is C

The figure shows the letter Z and four of its transformed images—A, B, C, and D

Which of the four images was formed by a reflection of the letter Z?

A   B   C    D

From the graph, see attachment, we have the following highlights:

The letter Z is in the second quadrant.

Also, B and D are letter Z.

So, they cannot represent the reflection

When reflected across the x-axis, the reflection is C

Hence, the figure that shows the reflection of the letter Z is C

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Answer:

the answer is A K= -2.5

Step-by-step explanation:

i did the problem

Answer: 7/8

What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (HCF) of both the number, 35 and 40.

Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.

So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.

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Use the Pythagorean theorem.

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

The required slope of the line given by m = -3/4.

The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)

A line can be defined by a shortest distance between two points is called as a line.

equation of the given line is |

 y =[tex]\frac{-3}{4}[/tex]x + 2

slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.

Thus the required slope of line   y =[tex]\frac{-3}{4}[/tex]x + 2is given by  m= -3/4 , This line passes through points  (0, 2) and (4, -1).

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We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

Answer: B. 55°

Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.

180°- 125° = 55°

Therefore, the answer is B. 55°.

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The three quantities needed are the mean of X, the mean of Y, and the slope

The y-intercept of a linear regression is calculated using:

[tex]a = \bar y - a\bar x[/tex]

Where:

Hence, the three quantities needed are the mean of X, the mean of Y, and the slope

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Answer:

0

y = 2

Step-by-step explanation:

Since it's a flat line, the slope is 0.

Since all of the points have a y-value of 2, the equation is y = 2.

Answer:

Slope = 0

Equation: y = 2

Step-by-step explanation:

PQ is parallel  to x-axis. Slope of the line parallel to x-axis = 0.

Slope of diagonal PQ = 0

Equation of line parallel to x-axis : y = a

Equation of diagonal PQ: y = 2  or y -2 = 0

Answer:

The number is 32

Explanation :

Let the 2 number digit be 10x + z

Solution:

X-z=1

(10x+z+8) / (x+z) =8

10x+z+8=8x+8z

2x-7z-(2x-2z)=-8-2

-5=-10

Z = 10/5

Z =2

X=1+2

X=3

10×3+2 = 30 +2 = 32

The answer is 32

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

3 = 3/1

(multiply top and bottom separately for fractions)

[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

multiplying three (3) and two(2) and express the product of three and two over five.

five can enter in six three times , remainder 1

The fraction in lowest terms is one whole number , one over five.