Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it​

Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9

The value of k based on the information given will be k = 2.

It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).

The slope of x will be:

= (4 - 0)/(0 + 4)

= 4/4

= 1

By using slope point form, y = kx + 4.

Substitute x = 2.

g(-2) = -2k + 4 = 0

2k = 4

k = 4/2 = 2

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Answer:

the answer to the question above would be the option 3 (vertex)

Answer:

$ 8874.11 after 5 years

Step-by-step explanation:

 Each year it is worth 85 % of its value

20 000 ( .85)^5 = 8874.11

The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.

The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.

There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:

P(eye shadow) = 4/20 = 1/5

This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.

The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.

We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.

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Answer:

200

Step-by-step explanation:

20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200

Answer:

200

Step-by-step explanation:

40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20

it would help to set up proportions like:

40    20

/    =  

x      100

and cross multiply and divide.

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

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Answer:

A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

[tex]...[/tex]

Answer:

The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.

that act itself is not electronic.

at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.

Answer:

C

Step-by-step explanation:

It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.

The amount of glue that eric used for his project is [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]

The interpretation of the line plot involves a careful approach to how a series of data points are connected on coordinate planes.

From the Glue for summer project line plot:

The amount of glue Eric used for the project is;

[tex]\mathbf{=\dfrac{3}{4}\times 2\dfrac{1}{4}}[/tex]

[tex]\mathbf{=\dfrac{3}{4}\times \dfrac{9}{4}}[/tex]

[tex]\mathbf{=\dfrac{27}{16}}[/tex]

[tex]\mathbf{= 1\dfrac{11}{16}}[/tex]

Therefore, we can conclude that the amount of glue used by Eric for this project is: [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]

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Answer:

u=30

x=150

z=150

y=30

Step-by-step explanation:

u=y [ being vertically opposite angle]

x+u=180[ being linear pair]

x+30=180

x=180-30

x=150

z=x[being vertically opposite angle]

z=150

y=u[ being voa]

Answer:

=40°

Step-by-step explanation:

Sorry that's all I know

^keep safe^

Answer:

B. -113 inches

Step-by-step explanation:

First you have to find the radius of the two pizzas. The radius is half of the diameter. So, the first pizza would have a radius of 8 inches, since 8 is half of 16. The second pizza would have a radius of 10 inches, since 10 is half of 20. Then you would use the area formula to find the area of the two pizzas. The area formula is A=3.14R^2. The area of the first pizza is 201.06. The area of the second pizza is 314.16. Then you subtract those two numbers to get -113.1. The answer is -113 inches.

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]

Answer:

0.4= 4/10= 2/5

Step-by-step explanation:

The first decimal place after the point represent the place holder "tenth's"

0.4 = 4/10

This can simply to 2/5

Hope it will help:-)

2 over 5

Step-by-step explanation:

0.4=4 over 10 simplify=2over5

Answer:

  $3.65

Step-by-step explanation:

The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.

__

Let x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...

  5x +3y = 23.50

  5x +y = 20.00

Rearranging the second equation, we have an expression for y:

  y = 20.00 -5x . . . . . . subtract 5x from both sides

Substituting this into the first equation gives ...

  5x +3(20.00 -5x) = 23.50 . . . . . substitute for y

  -10x +60.00 = 23.50 . . . . . . simplify

  x -6.00 = -2.35 . . . . . . . . divide by -10

  x = 3.65 . . . . . . . . . . . add 6

One hockey puck costs $3.65.

The probability that the next customer will pay with a credit card is 0.61.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that Cristian's customers pay using, cash, debit cards and credit cards,

He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card.

We need to find the probability that the next customer will pay with a credit card,

Therefore,

The favorable outcomes = 38

Total outcomes = 38+10+14 = 62

Therefore,

P(credit cards) = 38/62 = 0.61

Hence the probability that the next customer will pay with a credit card is 0.61.

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If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.

[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]

Then swapping out 4x + 5 for x gives

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

The inverse of f(x), if it exists, is a function f⁻¹(x) such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Evaluate f at f⁻¹ and solve for f⁻¹ :

[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]

If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.

[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]

Number Line:

Closed Circles are used when signs are "≤" or "≥"

Open Circles are used when signs are "<" or ">"

The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"

Graph should look like this:

Answer:

a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class

B. 12 boys

If each student like at least one activity, the number of student that like both is 25

The class have 75 students.

50 like visiting and 50 like picnic.

Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;

let

x = student that like both

75 = 50 + 50 - x

Therefore,

75 = 100 - x

75 - 100 = -x

-25 = -x

x = 25

Therefore, the number of students who like both are 25.

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Answer:

w=7

Step-by-step explanation:

A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0

9w=63

w=7!!!
and we can double check.

16w-81=15w-74
16w=15w+7
w=7

The area of the triangle is 608 cm².

Area is the region bounded by a plane shape.

To calculate the area of the triangle, we use the formula below.

Formula:

Where:

From the question,

Given:

If

Substitute these values into equation 1

Hence, the area is 608 cm².

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Answer:

V =512 m^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 8^3

V =512 m^3

Answer:

My sister is doing this, I if remember correctly graph B?

Answer:

A

Step-by-step explanation:y-5=6(x+1)

y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11