-3y+7y+4y^3-2y^2+6y^3-7y^3-5y

Answer:

D = 9

Step-by-step explanation:

Answer:  9

Step-by-step explanation:

x1=4

y1=-7

x2=4

y2=2

      distance = Sqrt(x2-x1)^2+(y2-y1)^2)

                    =sqrt((4-4)^2+(2-(-7)^2)

                   =sqrt(0)^2+(9)^2

                  =  sqrt(81)

                =     9

The surface area of the box shown is 186 square inches (186 in²).

Surface area is the measure of the area on a two-dimensional surface. It is the sum of the areas of all the shapes that make up a two-dimensional object. It can be used to calculate the area of a sphere, a cylinder, a rectangular prism, and more.

The box shown is a three-dimensional rectangular prism. The surface area (S.A.) of a rectangular prism is calculated by adding the area of each of its six faces. The area of each face is calculated by multiplying the length of the face by its width.

For the box shown, the length is 3 inches (3 in), the width is 12 inches (12 in), and the height is 10 inches (10 in). To find the surface area, we need to calculate the area of each face and add them together. The surface area of this box is calculated as follows:

Front and back faces: 3 in x 10 in = 30 in²

Left and right faces: 12 in x 10 in = 120 in²

Top and bottom faces: 3 in x 12 in = 36 in²

Total surface area: 30 in² + 120 in² + 36 in² = 186 in²

Therefore, the surface area of the box shown is 186 square inches (186 in²).

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Answer:

274

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rotted %

The speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.

It is given that a plane traveled 3900 miles in 6.5 hours with wind and 3250 miles in 6.5 hours against wind.

We have to find out the speed of plane in still air and speed of wind.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

Distance travelled with wind in 6.5 hours = 3900 miles

Distance travelled against wind in 6.5 hours = 3250 miles

Let's assume speed of plane in still air be P and speed of wind be W.

So;

The total rate with the wind is the plane speed plus the wind speed and against the wind is speed of plane minus speed of wind.

i.e.,

d = rt

⇒ 6.5 ( P + W ) = 3900 miles  --- ---- --- --- -- ------- ----- --- Equation 1

and

⇒ 6.5 ( P - W ) = 3250 miles  --- ---- --- --- -- ------- ----- --- Equation 2

Let's solve the equations to get value of P and W ;

i.e.,

P + W = 3900 / 6.5

or

P + W = 600

and

P - W = 3250 / 6.5

or

P - W = 500

adding both equations ; we get ;

2P = 1100

or

P = 550 miles / hour

And

W = 50 miles / hour

Thus , the speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.

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Answer:

Formulas

\(\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}\)

\(\textsf{Area of a semicircle}=\dfrac{1}{2}\pi r^2 \quad \textsf{(where r is the radius)}\)

\(\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}\)

\(\textsf{Radius of a circle}=\sf \dfrac{1}{2}d\quad\textsf{(where d is the diameter)}\)

\(\textsf{Perimeter of a semicircle}=r(\pi +2) \quad \textsf{(where r is the radius)}\)

Use the above formulas to calculate the various measurements, remembering to calculate the radius first when given the diameter.

a) Radius = 2.7 cm

\(\implies \textsf{Area}=\sf \pi (2.7)^2=22.9\:\:cm^2\:(1\:d.p.)\)

\(\implies \textsf{Circumference}=\sf 2 \pi (2.7)=17.0\:\:cm\:(1\:d.p.)\)

-----------------------------------------------------------------------

b)  Diameter = 45 mm

\(\sf \implies Radius =\dfrac{45}{2}=22.5\:\:mm\)

\(\implies \sf Area= \pi (22.5)^2=1590.4\:\:mm^2\:(1\:d.p.)\)

\(\implies \sf Circumference= 2 \pi (22.5)=141.4\:\:mm\:(1\:d.p.)\)

a)  Radius = 8.5 cm

\(\implies \sf Area=\dfrac{1}{2}\pi (8.5)^2=113.5\:\:cm\:(1\:d.p.)\)

\(\sf \implies Perimeter=8.5(\pi +2)=43.7\:\:cm\:(1\:d.p.)\)

-----------------------------------------------------------------------

b)  Radius = 24 mm

\(\implies \sf Area=\dfrac{1}{2}\pi (24)^2=904.8\:\:mm\:(1\:d.p.)\)

\(\sf \implies Perimeter=24( \pi +2)=123.4\:\:cm\:(1\:d.p.)\)

-----------------------------------------------------------------------

c)  Diameter = 32 cm

\(\sf \implies Radius =\dfrac{32}{2}=16\:\:cm\)

\(\implies \sf Area=\dfrac{1}{2}\pi (16)^2=402.1\:\:cm\:(1\:d.p.)\)

\(\sf \implies Perimeter=16( \pi +2)=82.3\:\:cm\:(1\:d.p.)\)

-----------------------------------------------------------------------

d)  Diameter = 15 m

\(\sf \implies Radius =\dfrac{15}{2}=7.5\:\:m\)

\(\implies \sf Area=\dfrac{1}{2}\pi (7.5)^2=88.4\:\:m\:(1\:d.p.)\)

\(\sf \implies Perimeter=7.5( \pi +2)=38.6\:\:m\:(1\:d.p.)\)

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

-3

Step-by-step explanation:

let the unknown be x.

x multiply by -5 = 9-2x

-5x=9-2x

-9=3x

x=-3

To estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T = R

825 + 0.06x = 1350 + 0.02x

Simplifying the equation, we get

x = 13125

We require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

For this case, we can assume that the total salary for Teresa T is given by T = 825 + 0.06x

Where x represents the number of sales. And similarly the total salary of Ramon we have:

R = 1350 + 0.02x

We want to estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T= R

825 + 0.06x = 1350 + 0.02x

Multiply both sides by 100

\($825 \cdot 100+0.06 x \cdot 100=1350 \cdot 100+0.02 x \cdot 100$\)

82500 + 6x = 135000 + 2 x

Subtract 82500 from both sides

82500 + 6x - 82500 = 135000 + 2x - 82500

6x = 2x + 52500

Subtract 2x from both sides

6x - 2x = 2x + 52500 - 2x

4x = 52500

Divide both sides by 4

\($\frac{4 x}{4}=\frac{52500}{4}$\)

x = 13125

So then we require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

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Answer:

I believe it is B.

Step-by-step explanation:

When you solve B, you get the expression that you are supposed to factor.

Answer:

The above answer is SAS, LL, AAS, LA

Step-by-step explanation: 100% on the test

Congruent shapes have equal corresponding sides and angles.

The congruence theorems that can be used to prove \(\triangle ABC \cong \triangle D EF\) are SAS, LL, AAS and LA

\(\triangle ABC \cong \triangle D EF\) means that, triangles ABC and DEF are congruent.

From the given figure, we have the following congruent sides and angle:

The above highlights mean that the following theorems can be used to prove that the triangles are congruent:

SAS, LL, AAS, LA

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Answer:

She needs to descend 20 feet per descent.

Step-by-step explanation:

100/5 = 20

Answer:

14 - 20 + 5

14 - 15 = -1

-1

If you take 14 meters and you go down 20 meters that is 14 - 20

Then, if you go up 5 meters, that is 14 - 20 + 5.

So simplify 14 - 20 + 5.

Simplified: 14 - 15

So the answer is -1 meter

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3÷12=0.25

12 goldfish for $3

Answer:

the level curve of the function that passes through the point is x² - y² = - 36

Step-by-step explanation:

Given that;

the function is;

f(x, y) = 64 - 4x² - 4y²

At the point P = ( 3√2, 3√2)

so we have

f( 3√2, 3√2) = 64 - 4(3√2)² - 4(3√2)²

= 64 - 72 - 72 = -80

so the level curve containing the point P = ( 3√2, 3√2) is the curve,

f(x,y) = -80

64 - 4x² - 4y² = -80

divide through by 4

4x² - 4y² = -80 - 64

4x² - 4y² = 144

divide through by 4

x² - y² = - 36

therefore, the level curve of the function that passes through the point is,

x² - y² = - 36

Answer: y=(3/2)x-4

Step-by-step explanation:

The slope-intercept form in linear equation: y=mx+b, where m is the slope and b is the y-intercept.

Slope=3/2

y-intercept=-4

y=mx+b

y=(slope) x + (y-intercept)

y=(3/2)x+(-4)

y=(3/2)x-4

Answer:

Below

Step-by-step explanation:

The slope and y-intercept equation has the following form:

● y = mx + b

Replace m by 3/2 and b by -4

● y = (3/2)m +(-4)

● y = (3/2)m - 4

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Step-by-step explanation:

a. nominal scales

occupation

Favorite beverage

b. Interval but not ratio.

Typing speed

c. ratio scale.

age

Handedness (e.g., left or right handed)

d. Ordinal scale of measurement but not a true interval scale.

Self-report of Assertiveness

year of birth

The given options are not clear enough, so i have attached the full question with the correct options.

Answer:

Option A:

Average rate of change=[f(b) - f(a)]/(b-a)

Instantaneous rate of change of y at x = a is found by finding the limit as "b" approaches "a"

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as the slope of the secant line, which is calculated by the formula;

[f(b) - f(a)]/(b - a)

While the instantaneous rate of change of f(x) at x = a is defined as the slope of the tangent line, which is calculated by finding the limit as "b" approaches "a". This is written as; f'(a) .

Looking at the options, the correct answer is option A.

Answer:

58

Step-by-step explanation:    

8(5)+2(9)

40+18

58

Answer:

  f(x) = 10^x -4

Step-by-step explanation:

The horizontal asymptote of this exponential function is at y=-4, so there is a vertical translation of -4 added to the function. That is, the function is expected to be of the form ...

  y = a·b^x -4

The graph crosses 1 unit above the horizontal asymptote at x=0, so there is no horizontal translation. Effectively, a=1 in the above equation.

The graph crosses 10 units above the horizontal asymptote at x=1, so the base of the exponent is b = 10.

The function appears to be ...

  f(x) = 10^x -4

Answer:

Step-by-step explanation - w= o

Reason:

There aren't any repeated items in the domain. Each x input goes to exactly one y output. This is why we have a function.

The y values can repeat, but the function wouldn't be one-to-one (i.e. injective).

Answer:

I think it's C but I'm still thinking about this but it's C I think

Step-by-step explanation:

Answer:

b. {(-3, 1), (0, 4), (2, 6)}

Step-by-step explanation: