Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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Answer:

n = [tex]\sqrt{32}[/tex]

Step-by-step explanation:

The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion

[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )

n² = 32 ( take the square root of both sides )

n = [tex]\sqrt{32}[/tex]

Answer:

Three times a number minus two times a number

3x-2x

=x

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Answer:

3x - 124

Step-by-step explanation:

kindly find solutions in the picture above

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6

Combine all like terms.

(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6

(8x² - 73x²) + 2x + 6

-65x² + 2x + 6

There are no common factors or like-terms to simplify.

So,

The simplified form is -65x² + 2x + 6

Thus,

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

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Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Answer:

C

Step-by-step explanation:

You can distribute the values or even plug in x=2 and see which one matches.

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Answer:

17.5 units

Step-by-step explanation:

im not good at explaining sorry

Answer:

Step-by-step explanation:

Side - side - side. In fact the two triangles have the side CD in common

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{ }[/tex]

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

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Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h

Radius (r) = 3

Height (h) = 3

2 x pi x 3^2 + 2 x pi x 3 x 3

2 x pi x 9 + 2 x pi x 9

18pi + 18pi

36pi = 113.1 cm^2

Hope this helps!

The surface area of the cylinder is 113.0973 square centimeter.

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.

The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r

where r is the radius of the cylinder and h is the height of the cylinder from its base.

In the given problem, r = 3cm and h = 3cm .

⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.

= 36π = 113.0973 square centimeters.

∴ Surface area = 113.0973 square centimeters.

Thus the surface area of the cylinder is 113.0973 square centimeter.

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Answer:

-1

Step-by-step explanation:

=-251x3+281 +251x3-1+281

=-1

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

Answer:

18

Step-by-step explanation:

The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):

[tex]\frac{3(1.5)^2(8)}{3}[/tex]

We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Answer:

Yup

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The correct inequality that represents the given situation is: A.) n - 87 < 320.

The situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.

Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.

Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.

This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.

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