Use the graph of f below. Assume the entire function is graphed below.Find ƒ(−1).ƒ(−1) = 0ƒ(−1) = −3ƒ(−1) = −1ƒ(−1) = −5

Age of Judy = 12 yrs old

Age of x = 8 yrs old

Age of Mukta= 16 yrs old

Ratio between the 3 ages = 12 : 8 : 16

Since all the three numbers are divisible by 4

Therefore the ratio comes out to be 3 : 2 : 4 or 3 ratio 2 ratio 4

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Answer:

= 12 : 8 : 16

all the three numbers are divisible by 4

the ratio is 3 : 2 : 4

ok

Measures base = 3cm

height = 4cm

tall = x

volume = 144 cm^3

Volume = Area of the base * tall

Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2

144 = 6*x

x = 144/6

x = 24 cm

Result: The chocolate is 24 cm tall.

Answer:

2x - 14 = -4

that is the equation simplified

Answer:

option

Step-by-step explanation:

THE THIRD GRAPH(X)

The exponential equation that represents the table is given as y = 81(3)^x.

Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.

The standard exponential form is expressed according to the formula;

y= ab^x

Using the coordinate points (2, 9) and (3, 3) from the table, we can create simultaneous equation as shown;

9 = ab^2

3 = ab^3

Divide both equations

3/9 = ab^3/ab^2

1/3 = b^3/b^2

1/3 = b

Substitute b = 1/3 into any of the equations

3 = ab^3

3 = a(1/3)^3

3 = 1/27 a

a = 81

Determine the required equation

y = ab^x

y = 81(3)^x

This gives the required equation of the function.

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Answer: 81

Step-by-step explanation: Took the test & got it right :)

The length of x in the isosceles right triangle is 15.6 units.

An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.

The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.

Using Pythagoras's theorem, let's find the side x

c² = a² + b²

where

Therefore,

11² + 11² = x²

121 + 121 = x²

x = √242

x = 15.5563491861

Therefore,

x = 15.6 units

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Answer:

120

2 1/2 hours is 150 minutes and your covers 150 miles in 150 minutes, so remove 30 minutes because 1/2 an hour is 30 minutes and remove 30 miles because you're going of time because 1 minute = 1 mile

Answer: w=2.56

Step-by-step explanation:

7.68/3=2.56

Given the graph, you can identify that x-axis represents the number of the corresponding month, and the y-axis represents the Number of Newspapers distributed (in hundreds).

You know these points:

Notice that 200 school newspapers were distributed in the second month, and 300 school newspapers were distributed in the fourth month. Therefore, you can conclude that the number of school newspapers that were distributed in the second month must be between 200 and 300. You can set up that, for:

The y-value is:

Hence, the answer is: Second option.

The linear equation that represents the problem is  4w + 30 = 150.

The dimension(width and length) of the rectangle is 30 cm and 45 cm .

A rectangle is a quadrilateral with 4 sides.

Opposite sides of a rectangle are equal to each other.

Opposite sides of a rectangle are parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.

Therefore,

perimeter of rectangle = 150 cm

l = 15 + w

Hence,

150 = 2(15 + w + w)

150 = 2(15 + 2w)

150 = 30 + 4w

Therefore, the linear equation to represent the problem is  4w + 30 = 150.

Let's solve for the dimension of the rectangle.

4w + 30 = 150.

4w = 150 - 30

4w = 120

w = 120 / 4

w = 30 cm

L = 15 + 30 = 45 cm

Therefore,

length = 45 cm

width = 30 cm

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The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

The slope of two parallel lines is always the same.

The slope y-intercept form of an equation is y = mx + c where m is the slope.

Given the parallel equation y = -2x + 5 by compare slope = -2

Therefore,the equation will become y = -2x + c

Substitute,(1,-4) into this

-4 = -2(1) + c ⇒ c = -2

So equation converts as y = -2x - 2.

Hence "The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2".

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Answer: do c to my very ecucated guess bc c is always right

Step-by-step explanation:

Step-by-step explanation:

The sum of  -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).

Firstly, we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the addition of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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Answer:

Explanation:

The volume of a gas in a container varies inversely with the pressure on the gas

Let V represent volume

Let P represent Pressure

Rewrting the statement above Mathematically:

when V = 230 in³

P = 8 lb/in³

Substitute the value of P and V in the equation in order to ger k:

Answer:

I got you, the answer is c+32.

Step-by-step explanation:

Hope this helps. Please mark branliest if right.

Given:

Price of chair = $320

Price of lamp = $55

Total cost of furniture Greg purchased is = $320 + $55 = $375

Since the store charges a 7% sales tax, it means the amount Greg paid in tax is

7% of Total cost of furniture purchased.

Thus, the amount Greg paid in tax is:

The amount Greg paid in tax

Answer:

Step-by-step explanation:-32x³z³+48x∧4z

Let's first calculate the percentage for 1/4

Let's first calculate the percentage for 1/6

The two equations with infinitely many solutions are the ones in options B and C.

An equation only has infinitely many solutions if we have a true equation that does not depend of x.

For example, if you look at option B, we have:

-76x + 76 = -76x + 76

We have the same expression in both sides, if we subtract it in both sides we get:

0 = 0

This is true, and does not depend of x, so this equation has infinitely many solutions.

The same thing happens for equation C.

76x+76=76x+76

Where we have the same thing in both sides.

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Answer:

x = -3

Step-by-step explanation:

Add 7 to -8 = -1

1/3x = -1

Divide -1 by 1/3

x = -3

Answer:

x=-3

Step-by-step explanation:

Height of the triangle is = 14m

Given,

Base of the triangle is 8m

Area of the triangle is = 56m^2

To find the height of the triangle.

Now, According to the question:

We know that

Area of the triangle is = 1/2 x b x h

where, b = base

h = height

Plug all the values of base and area in above formula:

56m^2 = 1/2 x 8m x h

56 x 2 / 8 = h

h = 14m

Hence, Height of the triangle is = 14m

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SOLUTION

To get how many more stickers were shipped last month than this month, we simply subtract this month's shipment from last month's shipment.

This becomes

Therefore, the we have 1,000,000,000 to the nearest billion.

Option D is the correct answer

Answer:

Step-by-step explanation:



ANSWER:

We can see the answer in the drawing.

STEP-BY-STEP EXPLANATION:

In this case, we make the diagram as follows:

tan 5 = x / 35

0.0874 = x / 35

cross- mulltiply

x = 35 x 0.0874

x = 3 . 059 = 3. 06 feet

Given data:

Total packs 3x3 sticky notes: 24 packs

Cost of 24 packs: 28.99

Number of sticky notes in a pack: 100

With the information above, we can proceed to find the answers to the questions

Part A: What is the price for each pack?

Since 24 packs cost 28.99

Then 1 pack will cost =

Hence, a pack will cost $1.21

Part B: How much is every single sticky note?

Since each pack cost 1.21, and each pack has 100 sticky notes, then

each sticky note will cost

=> every single sticky note will cost $0.012

The product of linear factors for p(x) is given as (x-4)(x^2+x-6).

The factor theorem states that;

From the question, given that x-4 is a factor of

p(x) = x^3 − 3x^2 − 10x + 24,

then it is divisible by x-4 and p(4)=0.

Dividing x^3 − 3x^2 − 10x + 24 by x-4 using the long division will result to another factor x^2+x-6 with a remainder of zero.

We can then conclude that (x-4)(x^2+x-6) is the product of linear factors for p(x).

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Answer:

the value of 2/3 ^-2 is 18

In the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

In the question ,

the data set is given as {30,45,49,50,63,75,75,77,84}

as the data set has 9 terms , the median will be the central term that is 5th term .

so the median is 63 .

For finding the lower and upper quartile , we break the set into two half .

lower half = {30,45,49,50}

the lower quartile will be the central value ,that is (45+49)/2 = 47

so, the lower quartile(Q₁) is 47 .

upper half = {75,75,77,84}

the upper quartile will be the central value ,that is (75+77)/2 = 76

so, the upper quartile(Q₃) is 76 .

Therefore , in the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

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