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The table of values represents an exponential function.

What is the y-coordinate of -3f(x-1) when x = 0
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Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

From the box-and-whisker plot, we have that:

a) City B had more noon temperatures above 76ºF.

b) City A had the largest IQR.

c) City B had the larger median temperature.

d) City A had the highest noon temperature.

For City A, the measures are given as follows:

Hence the interquartile range of temperatures is of:

75 - 67 = 8ºF.

For City B, the measures are given as follows:

Hence the interquartile range of temperatures is of:

80 - 73 = 7ºF.

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Answer:

it would be 8736x^2-728x

Step-by-step explanation:

Based on the various assets and liabilities that the family has, the debt ratio can be calculated to be D. 54.1%.

the debt ratio can be found as:

= Total debt / Total assets

Solving:

= (5,500 + 210,000 + 180,000+ 25,000) / (3,000 + 13,000 + 320,000 + 25,000 + 15,000 + 64,000 + 39,000)

= 258,500 / 479,000

= 54.1%

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Answer:

Y= -3

Step-by-step explanation:

Step 1- 5y+2=-13 [move constant to the right]

Step 2- 5y=-13-2 [Calculate]

Step 3- 5y=-15 [Divide both sides]

And with doing these steps you'll end up with the answer Y= -3

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Answer:

\(y = -4\frac{1}{2}\)

Step-by-step explanation:

\(16-(3-4y) = 2(y+2)\)

Distribute.

\(16 - 3 + 4y = 2y + 4\)

Combine like terms.

\(13 + 4y = 2y + 4\)

Subtract \(2y\) from both sides.

\(13 + 2y = 4\)

Subtract 13 from both sides.

\(2y = -9\)

Divide both sides by 2.

\(y = -4\frac{1}{2}\)

I hope this helps!

If you divide the dough into 275-gram loaves, we can make 27 loaves from the recipe.

To find the number of 275-gram loaves that can be made from 7.5 kg of dough, we need to divide the total weight of the dough by the weight of each loaf:

Number of loaves = Total weight of dough / Weight of each loaf

We can convert the total weight of dough from kilograms to grams by multiplying by 1000:

Total weight of dough = 7.5 kg × 1000 g/kg = 7500 g

So the number of loaves is:

Number of loaves = 7500 g / 275 g/loaf ≈ 27.27

We can't have a fractional number of loaves, so we need to round down to the nearest whole number. Therefore, we can make 27 loaves from the recipe.

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#1

Domain

Here the arrows are going infinite directions

#2

Smae for range

Arrows approaching infinity

#3

It fails in horizontal line test and vertical line test

Also

Answer:

60 inches squared

Step-by-step explanation:

This problem can be solved by splitting the arrow into a triangle and a rectangle, and then adding the areas together.

For the rectangle, you can multiply 4 (the base) by 12 (the height) in order to get 48 inches squared.

Then, for the triangle, you can split it into two right triangles since you know that half of the base is 6, and the height is 4. Then, you would get 24 inches squared. Ordinarily you would multiply the height and base of a triangle and then divide by two to get the area, but as both right triangles are exactly the same you would end up getting double of what you dividing by two anyways.

Finally, after adding 48 and 24, you get 72 inches squared.

Answer: it's a function

Step-by-step explanation:

Answer: The expression 5x - 3(2x-4) is equivalent to the expression 12 - x is True.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

Point Slope form

Step-by-step explanation:

y − y1 = m(x − x1)

Answer:

It shows for each gallon consumed, we multiply by 30 to get the amount of miles

This applies for the three questions

Step-by-step explanation:

10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.

300/10 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.

150/5 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.

30/1= 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

13 1/8 km

Step-by-step explanation:

Given the man walks 3 3/4 km in 1 hour,

=> Speed of the man = 15/4 kmph

Distance walked by the man in 7/2 hours (3 1/2 hours) is,

= 15/4 * 7/2 = 105/8 km = 13 1/8 km

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

B. years

Explanation:

The domain is the set of numbers in the horizontal axis. In this case, the horizontal axis has the age which units are years. So, the unit of the domain values is

B. Years

Answer:

X = -21

Step-by-step explanation:

X / 3 + 5 = -2

X / 3 = -7

X = -21

Answer:

x = -9

Step-by-step explanation:

x + 15 = 6

x = 6 - 15

x = -9

Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.

A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"

In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.

Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:

x + (x+4) * 3 = 84

Expanding and solving for x:

x + 3x + 12 = 84

4x = 72

x = 18

So the three consecutive even integers are 18, 20, and 22.

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This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

The answer to number one is 3 1/2, the answer to number two is 3 1/3, the answer to number three is 1 1/4, the answer to number four is 1 3/5, the answer to number five is 3 1/5, the answer to number six is 19/4, the answer to number seven is 27/5, the answer to number eight is 35/3, the answer to number nine is 24/7, and the answer to number ten is 13/6.

Step-by-step explanation:

To change an improper fraction into a mixed number, you hate to divide the numerator by the denominator. For example, if the improper fraction was 10/5, you would get 2 because 5 goes into 10 two times. If the improper fraction was 8/5, you would do the same thing and get 1 3/5 because 5 goes into 8 once, and since 8 minus 5 is 3, you get 3 over 5.

To change a mixed number into an improper fraction, you have to multiply the denominator my the whole number, and then take that number and add it by the numerator. For example, if the mixed number was 8 2/3, the improper fraction would be 26/3 because 3 times 8 is 24, and 24 plus 2 is 26.

I hope this helps you have a wonderful day :D

Answer:

for some reason the picture glitched for me

Step-by-step explanation:

:|

Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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