Pls help!!!!!!!!!!!!!!!!

Answer:

3:55

Step-by-step explanation:

3:55

Answer:

Step-by-step explanation:

To calculate the values of the given function, substitute the given values of x into the function f(x) = 7x^2 - 8x + 8:

f(-2) = 7(-2)^2 - 8(-2) + 8

= 7(4) + 16 + 8

= 28 + 16 + 8

= 52

f(-1) = 7(-1)^2 - 8(-1) + 8

= 7(1) + 8 + 8

= 7 + 8 + 8

= 23

f(0) = 7(0)^2 - 8(0) + 8

= 0 - 0 + 8

= 8

f(1) = 7(1)^2 - 8(1) + 8

= 7(1) - 8 + 8

= 7 - 8 + 8

= 7

f(2) = 7(2)^2 - 8(2) + 8

= 7(4) - 16 + 8

= 28 - 16 + 8

= 20

Therefore, the values of the function for the given inputs are:

f(-2) = 52

f(-1) = 23

f(0) = 8

f(1) = 7

f(2) = 20

The expression O cos(k0 + 0) + i sin(k0 + 0) is commonly used in proofs involving complex numbers and trigonometric functions, representing the complex exponential function [tex]e^(ik0)[/tex].

The expression that will complete the proof depends on the given context and what exactly needs to be proved. However, in general, the expression O cos(k0 + 0) + i sin(k0 + 0) is often used in proofs involving complex numbers and trigonometric functions.

This expression represents the complex exponential function [tex]e^(ik0)[/tex], where k0 is a constant. The cosine term represents the real part of the complex number, while the sine term represents the imaginary part.

The addition of 0 in the arguments of both cosine and sine indicates that the complex number is in polar form, with a magnitude of 1 ([tex]since cos^2 +[/tex] [tex]sin^2 = 1[/tex] for all angles).

Using this expression, we can perform various operations and manipulations to prove different results, such as De Moivre's theorem or Euler's formula.

Ultimately, the choice of expression will depend on the specific problem and what needs to be proved.

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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: t(x) or total amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

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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Answer:

In mathematics, a function is a rule that assigns one unique output value for each input value. A linear function is a function that has a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will form a straight line.

For example, the function f(x) = 2x + 1 is a linear function because its graph is a straight line. As x increases by 1, the output of the function increases by 2.

On the other hand, a nonlinear function is a function that does not have a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will not form a straight line.

For example, the function f(x) = x^2 is a nonlinear function because its graph is a curve. As x increases, the output of the function increases at an increasing rate.

In general, nonlinear functions can take many different forms and can have complex behaviors, whereas linear functions have a simple, predictable behavior.

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 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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Answer:

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

Step-by-step explanation:

The resolution of the given force applied to the shovel is: A vertical force of 592 NA horizontal force of 215.47 N

The components of a force represent the combined vertical and horizontal forces that combine to make the resultant force. Components are two vectors that add up to the given vector which are perpendicular to each other.

Now, when we apply a force F to an object at an angle θ, it can be said that the resolution of the forces is:

In the horizontal direction: F_x = F * cos θIn the vertical direction: F_y = F * sin θTyri pushes a shovel into the ground with a force of 630 newtons at an angle of 70° with the ground.

Thus, the diagram that shows the resolution of the forces is:

A vertical line showing a force of 630 * sin 70 = 592 N

A horizontal line showing a force of 630 * cos 70 = 215.47 N

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The monthly payments on the 20 yrs mortgage would be $946.69.

According to the question, the down payment on the house is 20% of $165000, which is:

0.2 * $165,000 = $33,000

The amount that is needed to be financed is:

$165,000 - $33,000 = $132,000

This rate of interest on the payment is 7.5% per year, which is equal to 0.075 as a decimal. We know that the mortgage is for 20 yrs or 240 months:

To calculate the monthly payment, we can use the formula:

monthly payment = [tex][P * r * (1 + r)^n] / [(1 + r)^n - 1][/tex]

where P is the principal amount i.e. the amount being borrowed, r is the monthly interest rate, whereas n is the number of payments.

we need to find the monthly interest rate, for which we can use divide the yearly interest by the number of months in a year, we get:

r = 0.075 / 12 = 0.00625

Now substituting the values into the formula above we get:

monthly payment = [tex][$132,000 * 0.00625 * (1 + 0.00625)^240] / [(1 + 0.00625)^240 - 1][/tex]

monthly payment = $946.69 which is rounded to the nearest cent.

Therefore, the monthly payments on the 20 yrs mortgage would be $946.69.

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Answer: D: 1/5

Step-by-step explanation:

sinx = 5/13

this ratio is special; it is a 5-12-13 right triangle, (pythagorean triple).

there is also a formula to find tan(x/2); It is tan(x/2) = ±[tex]\sqrt{\frac{1-cosx}{1+cosx} }[/tex]

the + or - sign is decided by the quadrant the half angle is in;

since x is in quad one, it is somewhere between 0 and pi/2. To find the half angles position, simply divide it; x/2 is somewhere between 0/2 and pi/4.

so its also in the first quadrant. Since tangent is positive in the first quadrant, we will take the positive answer:

One more thing. we need the cosx in our formula. cosx will be 12/13, since this is a special right triangle as we said before.

tan(x/2) = [tex]\sqrt{\frac{1-12/13}{1+12/13} }[/tex]

tan(x/2) = [tex]\sqrt{\frac{1/13}{25/13} }[/tex]

tan(x/2)= [tex]\sqrt{1/25}[/tex]

tan(x/2) = 1/5

Option D is the answer :)

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

Answer:

1/9

Step-by-step explanation:

P =

[tex](no \: of \: favorable \: outcomes) \div (total \: numeber \: of \: outcomes \: )[/tex]

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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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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.

The data is best described by an increasing function. The regression equation is y =0.0965x - 0.61.

Here is a table of the data:

Temperature (K) Gas Volume (cm³)

173     16

223     21

273     26

323     30

373     36

423     40

The data is best described by an increasing function, and it is likely to be linear since the volume of the gas increases uniformly with the temperature.

Let x be the temperature and y be the volume of the gas.

The slope is given by (nΣxy - ΣxΣy) / (nΣx² - (Σx)²),

where n is the number of data points, Σxy is the sum of the products of x and y, Σx is the sum of x, Σy is the sum of y, and Σx² is the sum of the squares of x.

The y-intercept is given by (Σy - bΣx) / n, where b is the slope.

Using the data, we have n = 6, Σx = 17788, Σy = 169, Σxy = 4225, and Σx² = 43750.

Substituting these values into the formulas gives the slope b = 0.09657 and the y-intercept a = -0.61.

Therefore, the regression equation is y =0.0965x - 0.61.

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The number of green t-shirts sold are 45.

Given that a bar graph showing the sell of t-shirts of 4 different colour,

It is saying that the sell has increased by 50% next week, we need to find the number of green t-shirts to be sold in next week,

So, the number of green t-shirts sold in previous week = 30

So this week the sell should have been increased by 50%

Therefore, the number of green t-shirts sold this week = 150/100 × 30

= 1.5 × 30 = 45

Hence the number of green t-shirts sold are 45.

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Answer:

Step-by-step explanation:

General formula

(x-h)^2 + (y-k)^2 = r^2

where (h,k) center of circle whose radius r

applying the formula to our Q

(x – 5)² + y² = 81

(x – 5)² + (y-0)² = 9^2

---> center of circle (5,0)

---> radius is 9

Answer:

so do i get brainiliest???

Step-by-step explanation:

The area of the given rectangle is 121/16 square inches.

As know that the area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To find the area of the rectangle, we need to multiply the length by the width. We have:

Length = 2 3/4 inches = 11/4 inches

Width = 2 3/4 inches = 11/4 inches

Area = Length x Width

Area = (11/4) inches x (11/4) inches

Area = 121/16 square inches

Therefore, the area of the rectangle is 121/16 square inches.

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Answer:

Option : A

Step-by-step explanation:

To find the x-coordinate of the solution to the system of equations, we need to solve the system by eliminating either x or y. Let's eliminate y by multiplying the first equation by 3 and the second equation by 1:

Equation 1: 2x + y = -4 (multiply by 3)

Equation 2: 5x + 3y = -6 (multiply by 1)

Multiplying equation 1 by 3 gives us:

6x + 3y = -12

Multiplying equation 2 by 1 gives us:

5x + 3y = -6

Now we can subtract equation 2 from equation 1 to eliminate y:

(6x + 3y) - (5x + 3y) = -12 - (-6)

6x + 3y - 5x - 3y = -12 + 6

x = -6

Therefore, the x-coordinate of the solution to the system of equations is x = -6.

The correct option is: Ox=-6.[tex][/tex]

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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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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