Find the value of x.
48°
126°

Compare the linear relationships shows that

Equation B has the greater slope. It has a slope of 106, and Equation A has a slope of 58, which is smaller.

Equation A is given as y = 58x

The slope is 58

For Equation B  

Slope of Equation B = (change in y) / (change in x)

= (729 - 623) / (13 - 12)

= 106 / 1

= 106

Comparing the slopes, we can see that the slope of Equation B (106) is greater than the slope of Equation A (58)

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Answer:

To calculate the distance around the outside of the circular fire pit (circumference), we can use the formula:

Circumference = π × diameter

Given that the diameter of the pit is 3 feet, we can substitute this value into the formula:

Circumference = π × 3 feet

For the exact distance, we can use the value of π (pi) as 3.14159 (approximately):

Circumference ≈ 3.14159 × 3 feet

Circumference ≈ 9.42477 feet

For the approximate distance, we can round π to 3:

Circumference ≈ 3 × 3 feet

Circumference ≈ 9 feet

To calculate the area inside the circular fire pit, we can use the formula:

Area = π × (radius)^2

The radius is half of the diameter, so in this case, the radius is 1.5 feet.

For the exact area, using π as 3.14159:

Area ≈ 3.14159 × (1.5 feet)^2

Area ≈ 7.06858 square feet

For the approximate area, rounding π to 3:

Area ≈ 3 × (1.5 feet)^2

Area ≈ 6.75 square feet

Therefore, the homeowner would need to buy approximately 9 bricks to outline the pit, and approximately 7.07 square feet of sand to cover the space inside the pit (or approximately 6.75 square feet if rounding to a whole number).

Step-by-step explanation:

The arc lengths and the angle measures are arc length = 0.67 meters, AC = 45 degrees and TV = 23 degrees

Arc length

Given that

Central angle = 6 degrees

Circumference = 40 meters

The arc length is calculated as

arc length = Central angle/360 * Circumference

So, we have

arc length = 6/360 * 40

Evaluate

arc length = 0.67 meters

The measurement of AC

Here, the arc AC subtends the angle 45 degrees at the center of the circle

This means that

AC = 45 degrees

The measurement of TV

Here, the arc TV subtends the angle 23 degrees at the center of the circle

This means that

TV = 23 degrees

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Answer:

The correct answer is (D) 4/5.

Step-by-step explanation:

First, we need to find the number of cars that are neither red nor have a backup camera.

Number of cars that are not red = 50 - 12 = 38

Number of cars that do not have a backup camera = 50 - 10 = 40

Number of cars that are neither red nor have a backup camera = 38 + 10 - 50 = 8

Therefore, the probability of selecting a car that is not red and does not have a backup camera is:

P(not red and no backup camera) = 8/50

Simplifying:

P(not red and no backup camera) = 4/25

So the correct answer is (D) 4/5.

Answer:

so do i get brainiliest???

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

We solve the given equation to obtain value of x

Step 1: We open the bracket:

8x-6-8=4+2x

Step 2: We transform terms with x to left hand side and constants to the right hand side and change their signs

8x-2x=4+6+8

6x=18

x=18/6

Thus, x=3

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The orbital increased by factor [tex]2^3^/^2[/tex] .Hence, correctander is option D by equation  T²=A³

The relationship between a planet’s orbital period(T) and the planet’s mean distance from the sun(A)  is given by equation T²=A³

Given equation is T²=A³

The distance between the planet X and sun is represented by d

Time-period of the planet X:

T²=d³

Distance between planet Y and the sun is represented by d'

d'= 2d

T'²=d'² = (2d)³ = 8d³

On dividing  (1)and (2).

T'/T = 8d³/d³

=8

=2√2

=[tex]2^3^/^2[/tex]

Hence, the orbital increased by factor [tex]2^3^/^2[/tex] .

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The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased? A. 2^1/3. B. 2^1/2. C. 2^2/3. D. 2^3/2

A. Since the remainder is zero, (x+2) is indeed a factor of f(x).

B. So, f(x) is completely factored as (x+2)(x-1)(x-3).

C. The zeros of F(x) are: -2, 1, and 3.

To determine if (x+2) is a factor of f(x) = x³-3x²-7x+6 can use synthetic division or long division.

Using synthetic division:

-2 | 1  -3  -7  6

   -2   10  -6

    1  -5   3  0

Using the result from part A we can write:

f(x) = (x+2)(x²-5x+3)

The quadratic factor can be factored further using the quadratic formula or factoring by grouping:

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

So, f(x) is completely factored as (x+2)(x-1)(x-3).

The zeros of f(x) are the values of x that make f(x) equal to zero.

From the factored form of f(x) we can see that the zeros are -2, 1 and 3. So:

The zeros of F(x) are: -2, 1, and 3.

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A reason that completes the proof for step 6 include the following: A. Definition of midsegment.

In Mathematics and Geometry, a midsegment can be defined as a type of line segment that is typically used for connecting the midpoints of two (2) sides of a triangle.

In order to prove that a midsegment is parallel to the median, it is imperative that the definition of the midsegment must be applied.

According to the definition of the midsegment, which states that a line segment connects the midpoints of the two (2) sides of a given triangle (ΔMNO), we can logically deduce the following:

P' = (r, s)

Q' = (r + t, s)

R' = (t, 0)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Hard bop energetic and emotional style of music developed in response to cool jazz and featured fast tempos, loud dynamics, and blues and gospel influences.

Step-by-step explanation:

The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.

We have,

To graph the line with the equation y = -x - 2, we can follow these steps:

- Step 1:

Plot two points on the graph.

Select any x-value and substitute it into the equation to find the corresponding y-value.

Repeat this process for a different x-value to find another y-value.

Let's choose x = 0:

y = -(0) - 2

y = -2

So we have the point (0, -2).

Let's choose x = 2:

y = -(2) - 2

y = -4

So we have the point (2, -4).

- Step 2:

Plot the points on a coordinate plane.

Plot the points (0, -2) and (2, -4) on a graph.

Step 3: Draw a line passing through the two plotted points.

Using a straightedge or by hand, draw a line that connects the two points.

Thus,

The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.

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The profit function is given as follows:

P(x) = -0.5x² + 53x - 300.

The profit if 53 mowers are sold is given as follows:

P(53) = -$1,598.5. (loss).

The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:

P(x) = R(x) - C(x).

The functions for this problem are given as follows:

Hence the profit function is given as follows:

P(x) = -0.5x² + 91x - (38x + 300)

P(x) = -0.5x² + 53x - 300.

The profit if 53 mowers are sold is given as follows:

P(53) = -0.5(53)² + 53(2) - 300

P(53) = -$1,598.5.

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Answer: t(x) or total amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

After 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.

To calculate the amount that Bernard will have saved after 4 years, we can use the formula for compound interest:

A = P(1 + r/n[tex])^{(nt)[/tex]

Where:

A = the amount of money Bernard will have saved after 4 years

P = the amount of money Bernard is putting into savings each month = $315

r = the annual interest rate = 7% = 0.07

n = the number of times interest is compounded per year (monthly compounding in this case) = 12

t = the number of years = 4

Substituting the given values into the formula, we get:

A = 315(1 + 0.07/12[tex])^{(12\times 4)[/tex]

A = 315(1.00583333[tex])^{48[/tex]

A = 315(1.31564)

A = $10,864.11

Therefore, after 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.

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The probability that at least one barrel develops a leak over a 20-year period is approximately 0.1813 or 18.13%.

Since leaks in different barrels are independent, the probability that none of the 10,000 barrels develops a leak in a given year is:

0.99999¹⁰⁰⁰⁰ = 0.9048

Therefore, the probability that at least one barrel develops a leak in a given year is:

1 - 0.9048 = 0.0952

Now we can use the same approach to find the probability that no barrel develops a leak in 20 years:

0.99999²⁰⁰⁰⁰⁰ = 0.8187

Therefore, the probability that at least one barrel develops a leak over a 20-year period is:

1 - 0.8187 = 0.1813

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Answer:

To simplify the expression |2(11-3)/2|^2, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

First, simplify the expression inside the absolute value:

2(11-3)/2 = 2(8)/2 = 16/2 = 8

Now, simplify the absolute value of 8, which is simply the magnitude of 8:

|8| = 8

Finally, square the result:

8^2 = 8 * 8 = 64

Therefore, the simplified value of |2(11-3)/2|^2 is 64.

Step-by-step explanation:

A circle with Centre [tex](a,b)[/tex]  has the general equation:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where [tex]r[/tex] is the radius and [tex](a,b)[/tex] is the Centre.

Given that the Centre is at [tex](0,9)[/tex], the equation is as follows:

[tex](x-0)^2 + (y-9)^2 = r^2[/tex]

If we simplify, we get:

[tex]x^2 + (y-9)^2 = r^2[/tex]

The fact that the circle comprises the coordinates  [tex](65,12)[/tex]  is also provided. Therefore, we may change these values into the equation and find [tex]r[/tex]:

[tex]65^2 + (12-9)^2 = r^2[/tex]

[tex]4225 + 9 = r^2[/tex]

[tex]r^2 = 4234[/tex]

When we square the two sides, we obtain:

[tex]r = \sqrt{4234}[/tex]

The circle's equation is as follows:

[tex]x^2 + (y-9)^2 = 4234[/tex]

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The zero of f is x = -2. C.

The equation of the linear function can be found using the point-slope formula:

y - y1 = m(x - x1)

m is the slope and (x1, y1) is a point on the line.

Plugging in the given values, we get:

y - 4 = 4(x + 1)

Expanding and simplifying, we get:

y = 4x + 8

The zero of f (where f(x) = y) set y = 0 and solve for x:

0 = 4x + 8

4x = -8

x = -2

The point-slope formula may be used to determine the equation of the linear function:

y - y1 = m(x - x1)

(X1, Y1) is a point on the line, and m is the slope.

With the above variables obtain:

y - 4 = 4(x + 1)

By enlarging and condensing, we obtain:

y = 4x + 8

y = 0, you may solve for x using the zero of f (where f(x) = y):

0 = 4x + 8 4x

= -8 x

= -2

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The factorization of p(x) is p(x) = (x + 5)^2 (x - 3).

There are different methods to find the zeros of a polynomial, but one common approach is to use the Rational Root Theorem to test possible rational roots and then use polynomial division to factor out the roots found.

The Rational Root Theorem states that if a polynomial with integer coefficients has a rational root p/q (where p and q are integers with no common factors other than 1), then p must divide the constant term and q must divide the leading coefficient.

In the case of p(x) = x³ + x² + 8x - 60, the constant term is -60 and the leading coefficient is 1, so the possible rational roots are of the form p/q, where p is a factor of -60 and q is a factor of 1. Therefore, the possible rational roots are ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60.

Since the remainder is not zero, x = 1 is not a root of p(x). We can repeat this process with each possible root until we find all the actual roots.

Using this method, we find that the zeros of p(x) are:

x = -5 (with multiplicity 2) and x = 3.

Therefore, the factorization of p(x) is:

p(x) = (x + 5)² (x - 3)

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The number of pounds of 40% alloy and 61% alloy required to make the third alloy containing 46% aluminum is 16.29 pounds and 40.71 pounds respectively.

Let

[tex]\sf x + y = 57[/tex]

[tex]\sf 40x + 61y = 46\times57[/tex]

[tex]\sf x + y = 57[/tex]

[tex]\sf 40x + 61y = 2622[/tex]

Solve simultaneously

From (1)

[tex]\sf x = 57 - y[/tex]

Substitute into (2)

[tex]\sf 40x + 61y = 2622[/tex]

[tex]\sf 40(57-y) + 61y = 2622[/tex]

[tex]\sf 2280 -40y+61y = 2622[/tex]

[tex]\sf -40y+61y = 2622-2280[/tex]

[tex]\sf 21y = 342[/tex]

[tex]\sf y = \dfrac{342}{21}[/tex]

[tex]\sf y = 16.29 \ pounds[/tex]

Substitute y = 16.29 pounds into (1)

[tex]\sf x + y = 57[/tex]

[tex]\sf x + 16.29 = 57[/tex]

[tex]\sf x = 57 - 16.29[/tex]

[tex]\sf x = 40.71 \ pounds[/tex]

So therefore, the number of pounds of 40% alloy and 61% alloy is 16.29 pounds and 40.71 pounds respectively.

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Pythagorean theorem is represented by triangle B.

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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Answer:

A pentagonal pyramid. There are 6 faces on the solid. There are 10 edges and there are 6 vertices on the solid.

A pentagonal pyramid is defined as a type of pyramid that has a base with the shape of a regular polygon.

The properties of a pentagonal pyramid include the following:

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The measure of angle a is 35°

The chord of a circle is the line segment joining any two points on the circumference of the circle.

The diameter is the longest chord of a circle which passes through the center of the circle.

For chords that meet inside of a circle, the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Using the above concept (That is the given hint in the question), we can say:

∠a = (29 + 41)/2

∠a = 70/2

∠a = 35°

Therefore, the measure of angle a is 35°

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Complete Question

Check attached image

The box plot contains a median of 9, Q1 as 7, and Q3 as 12.

The Smallest: value is 5 and the largest value is 15.

Option B is the correct answer.

We have,

To find the median, we need to arrange the numbers in order:

5, 6, 8, 9, 9, 11, 11, 13, 15

The median is the middle number, which is 9.

To find the quartiles, we first need to find the median of the lower half and upper half of the data.

Lower half: 5, 6, 8, 9, 9

Upper half: 11, 11, 13, 15

To find Q1, we find the median of the lower half:

(6 + 8)/2 = 7

To find Q3, we find the median of the upper half:

(11 + 13)/2 = 12

The smallest number is 5 and the largest number is 15.

Therefore,

Median: 9

Q1: 7

Q3: 12

Smallest: 5

Largest: 15

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Answer:

6)  $35,198.32

7)  $43,492.33

Step-by-step explanation:

To solve both these problems, we can use the formula for compound interest:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given values:

Substitute the given values into the formula and solve for A:

[tex]A=8000\left(1+\dfrac{0.1}{4}\right)^{4\cdot 15}[/tex]

[tex]A=8000\left(1+0.025\right)^{60}[/tex]

[tex]A=8000\left(1.025\right)^{60}[/tex]

[tex]A=35198.3179905[/tex]

[tex]A=35198.32[/tex]

Therefore, the balance of Anisha's account after 15 years will be $35,198.32.

[tex]\hrulefill[/tex]

Given values:

Substitute the given values into the formula and solve for A:

[tex]A=32500\left(1+\dfrac{0.06}{1}\right)^{1\cdot 5}[/tex]

[tex]A=32500\left(1+0.06\right)^{5}[/tex]

[tex]A=32500\left(1.06\right)^{5}[/tex]

[tex]A=43492.331272[/tex]

[tex]A=43492.33[/tex]

Therefore, Kevin will pay a total of $43,492.33 over the course of the 5 year loan (assuming he doesn't pay any of the loan back over those 5 years).

Answer:

5 burgers and 7 milkshakes

Step-by-step explanation:

1.5x5=7.5

2x7=14

7.5+14=21.5

Answer:

The option that the margin of error accounts for in the given interval is sampling variation.

Step-by-step explanation:

The solution is, the nth term of the sequence is: an = 250 * 0.4(n-1)

To find a formula for the nth term of the sequence 250, 100, 40, we need to first determine the pattern or rule that generates the sequence. If we divide each term by the previous term, we get the following ratios:

100/250 = 0.4

40/100 = 0.4

We can see that each term is obtained by multiplying the previous term by the common ratio of 0.4.

So, the formula for the nth term of the sequence is:

an = a1* r(n-1)

where a1= 250 is the first term, r = 0.4 is the common ratio, and n is the term number.

The solution is, the nth term of the sequence is: an = 250 * 0.4(n-1)

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compplete question:

What is a formula for the nth term of the given sequence 250,100,40

Answer:

L'' = (6, - 5 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 3, y - 3 ) means

add 3 to the original x- coordinate and

subtract 3 from the original y- coordinate

then

L (3, - 2 ) → L'' (3 + 3, - 2 - 3 ) → L'' (6, - 5 )