Use f(x)=x^2+4x-12 Does the graph of a function open upward or downward?

Answer:

48, 110,140

Step-by-step explanation:

Question 1

V= 4 * (6+6)

V=4 * 12

V= 48

Question 2

V= 11 * 10

V= 110

Question 3

V= (7 + 7) *10

V= 14 * 10

V= 140

Answer:

21 m^2

Step-by-step explanation:

0.5 x 14 x 3

hope this helps

have a good day

Answer:

The answer is 21 m^2

cmiller did it first so giver her brainlliest if you were going to do it to me.

Answer:

(B) -6x + 4y = 11

Step-by-step explanation:

Two lines are parallel if they have the same slope

In the line equation, y = mx + b, m = slope

For y = 3/2*x - 7/4, slope = 3/2

(B) can be written as

4y = 6x +11

Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question

Using same strategies for the other lines, you will see
(A) has slope -3/2

(C) has slope 1/2

(D) has slope -3/2

The amount of paint needed to cover all parts of the table will be 3703 square inches. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The top of the table can be modeled with a cylinder, and the legs can be modeled with rectangular prisms.

The table is shown below.

The surface area of the cylinder will be

SA of cylinder = 2πr² + 2πrh

SA of cylinder = 2π (18² + 18 × 3)

SA of cylinder = 2375 square inches

Then the surface area of the prism will be

SA of prism = 4 [WL + 2(WH + LH)]

SA of prism = 4 [2 x 6 + 2 (2 x 20 + 6 x 20)]

SA of prism = 4 [12 + 2 x 160]

SA of prism = 4 [12 + 320]

SA of prism = 1328 square inches

Then the total surface area of the table will be

Total surface area = SA of prism + SA of cylinder

Total surface area = 1328 + 2375

Total surface area = 3703 square inches

Thus, the amount of paint needed to cover all parts of the table will be 3703 square inches.

Then the correct option is B.

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The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.

We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

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Answer:

A

Step-by-step explanation:

took the test

Answer:

15

Step-by-step explanation:

Just add the number of kids disregarding their age

Answer:

The correct answer is 15.

Step-by-step explanation:

To get this answer, all we have to do is add up the data from the graph.

3 + 4 + 2 + 5 + 1 = 15

Hope this helps:) Goodluck!

Answer:

y= -3/2x - 3/2

Step-by-step explanation:

So you know the gradient of the line is -3/2x since that is the gradient.

So the equation so far is y=-3/2x +c

Then, substitute the co-ordinates to find c so:

-3 = -3/2 +c

-3/2 = c

The equation is y = -3/2x -3/2

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

[tex] \large \sf \underline{Question:}[/tex]

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

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \qquad \huge \bold{8cm}[/tex]

To solve for the area of rectangle, you use this formula A = length × width. But we're doing it reversal, we will divide the width to the area

Therefore, The length is 8cm.

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

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a rectangle having area 48 cm² and width 6 cm . We are asked to find the length of rectangle .

We know that ,

[tex] \qquad \qquad\underline{\boxed{\frak{Area_{(Rectangle)} = l \times w}}}[/tex]

Where ,

SOLUTION : -

We are finding value of length by substituting value of width as 6 cm and area as 48 cm² in the formula . So ,

[tex] \quad\longmapsto \qquad \:48 = 6 \times l[/tex]

or ,

[tex] \quad\longmapsto \qquad \:48 = 6l[/tex]

Dividing with 6 on both sides :

[tex] \quad\longmapsto \qquad \: \cancel{\dfrac{48}{6}} = \dfrac{ \cancel{6}l}{ \cancel{6}} [/tex]

We get ,

[tex] \quad\longmapsto \qquad \: \orange{\underline{\boxed{ \frak{l = 8 \: cm}}}} \quad \bigstar[/tex]

Verifying : -

We are verifying our answer by substituting value of length and width in formula and equating it with given area . So ,

Therefore , our answer is correct .

The volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h where:

r is the radius

h is the height

Given the following parameters

h = 12mm

r = 18/2 = 9mm

Substitute

V = π(9)²(12)
V = 972π mm^3

Hence the volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

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Answer:

I think it's just water bro

Answer:

B & C

Step-by-step explanation:

If he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

The formula for calculating the kinetic energy of an object is expressed as:

KE = 1/2mv²

where:

m is the mass of an object

v is the velocity

If he’s moving at 2 meters/second and has 40 joules of kinetic energy, the mass is calculated as:

40 = 0.5(2)²m

40 = 2m
m = 20 kg

If he doubles his speed when he sees his friends ahead of him, his kinetic energy will be:

KE = 0.5(20)(4)²
KE = 10*16
KE = 160joules

Hence if he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

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Answer:

$4000

Step-by-step explanation:

so $2800 was the starting price

100%-30%=70%

So 2800=70%

2800/7=400

400=10%

400*10=$4000

Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer:

rise is 11 and run is 2

Step-by-step explanation:

i believe but not fully sure

Answer:

5.5

Step-by-step explanation:

Applying the Pythagorean theorem, the distance between the Earth's horizon and the satellite would be 5756.70 miles.

To calculate the distance from the satellite to the Earth's horizon, it is necessary to use the Pythagorean Theorem as follows:

We must identify the data we have:

To calculate the distance from the satellite to the Earth's horizon, we must first establish the distance from the center of the Earth to the satellite, for this we calculate the radius of the Earth and add the distance to the satellite:

With these data we can draw an imaginary triangle from the center of the Earth, one of its legs would be the distance between the center of the Earth and the satellite, the other leg would be the distance between the center of the Earth and the Earth's horizon (at 90° to the other leg).

Now, to identify the distance between the horizon and the satellite, we apply the Pythagorean Theorem:

According to the above, the distance between the satellite and the horizon would be 5756.70 miles.

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Answer:

  29.05°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...

  Tan = Opposite/Adjacent

__

Using the given values, we have ...

  tan(D) = (25 ft)/(45 ft) = 5/9

The value of the angle is found using the inverse tangent function.

  D = arctan(5/9) ≈ 29.05°

The measure of angle D is about 29.05°.

Answer:  The original number was 18.25 or 18 1/4

18.25 plus 6 is 24.25

24.25 times 2 is 48.5

Step-by-step explanation:

mark as brilliant answer

Answer:

18.25

Step-by-step explanation:

x = number

add 6:    (x+6)  

double it :   2(x+6)

result = 48.5

2 (x+6) = 48.5

x+6 = 24.25

x = 18.25

The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Let's suppose P(A) is the probability of adults who lift weights regularly.

P(A) = 18% = 0.18

Similarly,

P(B) = 32% = 0.32

P(A∩B) = 0.07

We know:

[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]

P(A|B) = 0.219  or

P(A|B) = 21.9%

Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

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Answer: The answer would be (-2,0),(-4,0), and (5,0)

Step-by-step explanation:

Guessing the answer choices are

(-2,0)

(4,0)

(0,10)

(-4,0)

(0,-2)

(0,-10)

(5,0)

Answer:

750 cm^3

Step-by-step explanation:

VOLUME  = base * height  = 50 cm^2 x 15 cm = 750 cm^3  

Answer:

36

Step-by-step explanation:

We know all angles in a triangle must add up to 180°

The square in the triangle that angle is equal to 90°

We can now solve for x

90 + 54 + x = 180

144 + x = 180

x = 36

That is your answer

- Kan Academy Advance

Answer:

h = 5.80

[tex]V = \pi r^2h[/tex]

[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80

   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    Find the slope using the following points:

        (20, -10) (6, -20)

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

                    [tex]\LARGE\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Replace letters with numbers as follows:-

                             [tex]\Large\text{$\displaystyle\frac{-20-(-10)}{6-20}$}[/tex]

On simplification,

                                  [tex]\Large\text{$\displaystyle\frac{-20+10}{-14}$}[/tex]

On further simplification,

                                        [tex]\Large\text{$\displaystyle\frac{-10}{-14}$}[/tex]

Reducing the fraction,

                               [tex]\large\text{$\displaystyle\frac{10}{14}$}[/tex]

               [tex]\large\text{$\displaystyle\frac{5}{7}$}\leftarrow\:slope[/tex]

[tex]\rule{300}{1}[/tex]

All the area measure units should have square above them.

Hence, option A, C, D is correct.

Answer:

a) c) d)

Step-by-step explanation:

Length is a one-dimensional measure, therefore it is measured in single units.

⇒ m

⇒ cm

⇒ ft

The area of a shape is a two-dimensional quantity (e.g. length × width), therefore it is measured in square units.

⇒ m × m = m²

⇒ cm × cm = cm²

⇒ ft × ft = ft²

The volume of a shape is a three-dimensional quantity (e.g. length × width × height), therefore it is measured in cubic units.

⇒ m × m × m = m³

⇒ cm × cm × cm = cm³

⇒ ft × ft × ft = ft³

Therefore,

Answer:

[tex]27c^3-27c^2d+9cd^2-d^3[/tex]

Step-by-step explanation:

Binomial Theorem

[tex](a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n[/tex]

[tex]\textsf{If }(a+b)^n=(3c-d)^3 \: \textsf{ then}:[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}(3c-d)^3 & =(3c)^3+\dfrac{3!}{1!(3-1)!}(3c)^{3-1}(-d)+\dfrac{3!}{2!(3-2)!}(3c)^{3-2}(-d)^2+(-d)^3\\\\& =(3c)^3+3(3c)^2(-d)+3(3c)^1(-d)^2+(-d)^3\\\\& =27c^3-27c^2d+9cd^2-d^3\end{aligned}[/tex]

c=√a2+b2 I really hope this helps

The side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

The length of the side of the square and the height will be

6.98 cm and 13.96 cm.

Pyramid is a three dimensional Structure ,having square , rectangle , hexagonal base , the faces for a square pyramid and hexagonal pyramid are triangle meeting at one point .

It is given in the question that

A toy is being constructed in the shape of a pyramid.

the maximum amount of material to cover the sides and bottom of the pyramid is 250 square centimeters.

the height of the toy is double the side length

Let us assume the side length to be x

and therefore the height of the toy is 2x

The surface area of the toy is given = 250 sq.cm

First let us consider for a square base

The surface area of a square pyramid is given by

[tex]\rm A = a^2 + 2 a\sqrt {\dfrac{a^2}{4}+h^2}[/tex]

Here a is the side length which x for us and h = 2x

[tex]\rm 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+(2x)^2}\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+4x^2}\\\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{17 x^2}{4}}\\\\\\250 = x^2 + x^2 \sqrt{17}\\\\\\250 = 5.132 x^2\\\\\\48.71 = x^2\\\\\\x = 6.98 cm .[/tex]

Therefore the length of the side of the square and the height will be

6.98 cm and 13.96 cm.

For a hexagonal base

The total surface area is given by

[tex]A =6ah + 3 \sqrt{3}a^2\\\\\\A = 6 \times x \times 2x + 3\sqrt{3} (x)^2\\\\250= 12x^2 + 3\sqrt{3} x^2\\\\\\250 = 17.196 x^2\\\\\\14.54 = x^2\\\\x = 3.81 cm\\\\[/tex]

Therefore the side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

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Answer:

[tex]y=\frac{x}{5}[/tex]

Step-by-step explanation:

hope this helps