10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?

Answer:

6,000

Step-by-step explanation:

1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.

Have a great day!

Answer:

Step-by-step explanation:

y - 9 = -2(x + 5)

y - 9 = -2x - 10

y = -2x - 1

The parent function of the graph is an exponential function

The equation of the parent function could be  y = 2^x

From the question, we understand that:

y doubles, as x increases by 1

The above means that the parent function is an exponential function that has a rate of 2

So, we have:

y = 2^x

Hence, the equation of the parent function could be  y = 2^x

Read more about parent functions at:

https://brainly.com/question/17586310

Answer:

It's not b

Step-by-step explanation:

Picked b like that guy said and got it wrong on edge 2022

The probability of choosing a number that is not a multiple of 2 is P = 0.44

We need to count the number of options for each digit.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

8 × square root of 2

Step-by-step explanation:

50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.

18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.

then we just find the sum

Answer:

-0.0092

Step-by-step explanation:

sin160°cos110° + sin290°cos340° + tan110°tan160°

(0.34)(-0.34) + (-0.94)(0.94) + (-2.75)(-0.36)

- 0.1156 - 0.8836 + 0.99

-0.0092

I hope this helps!

[tex]\sin 160^{\circ} \cos 110^{\circ} + \sin 290^{\circ} \cos 340^{\circ} + \tan 110^{\circ} \tan 160^{\circ}\\\\=\sin\left(2 \times 90^{\circ} - 20^{\circ} \right) \cos \left(90^{\circ} + 20^{\circ} \right) + \sin \left(3 \times 90^{\circ}+20^{\circ}\right) \cos\left(4 \times 90^{\circ}-20^{\circ \right) + 20^{\circ} \right) + \tan \left( 90^{\circ} +20^{\circ}\right) \tan\left( 2 \times 90^{\circ} - 20^{\circ} \right)\\\\[/tex]

[tex]=-\sin 20^{\circ} \sin 20^{\circ} -\cos 20^{\circ} \cos 20^{\circ}+\cot 20^{\circ} \tan 20^{\circ}\\\\=-\left(\sin^2 20^{\circ} + \cos^2 20^{\circ} \right) + \tan 20^{\circ} \cdot \dfrac 1{\tan 20^{\circ}}\\\\=-1 + 1\\\\=0[/tex]

Answer:

no event can be impossible

Answer: no event can be impossible

Step-by-step explanation:

Answer:

1848 square inches

Step-by-step explanation:

surface area is the combined area of all the outside surfaces.

area of triangle is base x height / 2

There are two, so no need to divide

18 x 12 = 216

Area of rectangle is base x height

15 x 34 + 15 x 34 + 18 x 34 = 1632

Then add

216 + 1632 = 1848

Answer:

Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2

Step-by-step explanation:

Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)

If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.

Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.

We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.

The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.

The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.

Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Period :

Difference between two successive crest or trough is known as period, so here :

period = 9 - 3 = 6

Frequency

Now, we know that frequency = 1/period

So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz

The required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y = a \cos(bx) + k[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]

Answer:

3x^2-2x

Step-by-step explanation:

Step-by-step explanation:

so, they want to sell 200,000 tickets (and we assume they can really sell all of these).

they have to pay the prize money afterwards :

1 × $8,000 = $8,000

10 × $300 = $3,000

75 × $50 = $3,750

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

$14,750

and they have to pay for the ticket production at the beginning.

this is not really well defined, but I assume the following :

C(20) = 4500 + 6x

x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).

that means the cost for these 200,000 tickets is then

4500 + 6×20 = $4,620

$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).

and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).

so, the total expenses are

$14,750 + $4,620 = $19,370

under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be

19,370 / 200,000 = $ 0.09685 ≈ $0.10

if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.

for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?

then the printing costs would be

4500 + 6×200000 = $1,204,500

and the total expenses would be

$14,750 + $1,204,500 = $1,219,250

and the prize per ticket would have to be

1,219,250 / 200,000 = $ 6.09625 ≈ $6.10

The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

Given that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:

Therefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

Learn more about amount calculation in https://brainly.com/question/14695611

Answer:

Below

Step-by-step explanation:

281.6x20%= 56.32

281.6+56.31=337.91

337.91x12%=40.55

337.91+40.55=378.46

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

Answer:

  1982.0 ft³

Step-by-step explanation:

The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.

__

The square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.

That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:

  h² +(6√2)² = 10²

  h² = 100 -72 = 28

  h = 2√7 ≈ 5.291503 . . . ft

The volume of the pyramid is ...

  V = 1/3Bh = 1/3s²h

  V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³

__

The volume of a cube is given by ...

  V = s³

  V = (12 ft)³ = 1728 ft³

__

The total volume of the figure is the sum of the pyramid volume and the cube volume:

  total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³

The volume of the figure is about 1982.0 ft³.

_____

Additional comment

Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...

  h² +6² = 8²

  h² = 64 -36 = 28 . . . . as above

The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.

Answer:

Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve

Answer:

13) 80 in sq

14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.

15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.

Step-by-step explanation:

Answer:

13) easy but long way, count all the blue squares

harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80

14) basically the harder way but fast way mentioned above

15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34

Step-by-step explanation:

13: remember, these are coordinates and not the actual number.

these are the measurements of the blue box

length, 16-2 = 14

width, 14-4=10

these are the measurements of the white box inside the blue box

length, 14-4 =10

width, 12-6=6

find area of both which comes to 140 and 60. subtract 60 from 140 to get 80

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

More can be learned about cancellation in a fraction at https://brainly.com/question/571030

Answer:

b. 350x2

Step-by-step explanation:

the answer is 350x2 because if you do 350x2 you will get 700

r = 50/2.5 = 20 cm

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

Clock pendulums swing 8 degrees or less, which is an included angle of ~0.28 radians

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

Answer: Angle 3 and Angle 2

Step-by-step explanation:

The angles form a linear pair, which means they are supplementary.

Answer:

the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah

Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:

a) Rounded to the nearest integer, the square root of 46 is of 7.

b) Rounded to the nearest tenth, the square root of 46 is of 6.8.

Using a calculator, we have that the square root of 46 is of 6.78.

More can be learned about rounding concepts at https://brainly.com/question/17248958

#SPJ1

Answer: 0.18

Step-by-step explanation:

Using the sin rule:

11/sin(∠G) = 61/90

sin(∠G) = 11/61

sin(∠G) = 0.18°

Therefore, the value of angle G is 0.18 degrees