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In the given situation the given values can be correctly modeled by a (B) linear function.

What is a linear function?
A linear function has a straight line as its graph. A linear function has the form shown below. a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable.

The independent and dependent variables are X and Y, respectively.

In mathematics, the terms "linear function" refers to two distinct but connected concepts: In calculus and related subjects, a polynomial function of degree zero or one with a graph that is a straight line is referred to as a linear function.

Therefore, in the given situation the given values can be correctly modeled by a (B) linear function.

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We have demonstrated the definition of an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

The isosceles triangle has both two equal sides and two equal angles. The name derives from the Greek iso (same) and Skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

The given diagram shows an isosceles triangle.

Hence, we have demonstrated the definition of an isosceles triangle.

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Answer:

-13x + 21

Step-by-step explanation:

12+5x-18x+9

Like terms: 5x, -18x and 12, 9

Add like terms: 5x + -18x = -13x, 12 + 9 = 21

12 + 5x - 18x + 9 = -13x + 21

I hope this helps :D

The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

Answer:

The Answer is gonna be D. 2

This is the right Answer:3

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Answer:

1. Eight minus five

2. The sum of n and five

3. The sum of x and itself

4. X added to the sum of five and seven

5. Eight added to x

6. Right subtracted from x

7. Five minus n

8. The sum of eight and two subtracted from x

9. The difference of eight and two added to x

10. Five subtracted from n

Step-by-step explanation:

Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

Answer:

a = 19

Step-by-step explanation:

\( \frac{3a - 1}{8} = \frac{a + 9}{4} \)

\(4(3a - 1) = 8(a + 9)\)

\(12a - 4 = 8a + 72\)

\(12a - 8a = 72 + 4\)

\(4a = 76\)

\(a = 76 \div 4\)

\(a = 19\)

Answer:

(9/5, 8/5)

Step-by-step explanation:

First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.

y = 2x - 2

y = 1/3x + 1

Then you do 2x - 2 = 1/3x + 1

Then you do some maths and you get 9/5, and 8/5

The upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes can be determined by multiplying the standard deviation by three and adding it to the mean. However, since the mean and standard deviation are not provided in the question, a specific numerical answer cannot be given.

In statistical process control, the three-sigma control limits are commonly used to establish the range within which a process is considered to be in control. The three-sigma limits represent a statistical measure that encompasses approximately 99.7% of the data if the process is stable and normally distributed.

By calculating the UCL using the mean and standard deviation, organizations can set an upper boundary that helps monitor the software upgrade time. If any data point exceeds the UCL, it suggests a potential variation or issue in the process, warranting further investigation and corrective actions to ensure the software upgrade time remains within acceptable limits. The UCL serves as a reference point for identifying significant deviations from the expected mean and facilitates continuous process improvement in software upgrade operations.

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Answer:

It's 5 which is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The reasonable domain for the function 2 ( l + w ) = 64 is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

A function is defined as a relation between a set of inputs having one output each.

We have,

A function of the perimeter of a rectangle:

2 ( l + w ) = 64

Here,

l = length and w = width

We need to find the value of length and width such that the perimeter of the rectangle is 64.

Now,

2 ( l + w ) = 64

l + w = 32

This means the combined measure of length and width must give us 32.

We need to write as a function for length where width is given.

We can assume the width to be: 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We consider,

Width = 5, 10, 15, 20, and 25 to be the domain.

Length = 27, 22, 17, 12, and 7 to be the range.

We consider width values as the x-axis and length values as the y-axis.

The graph is given below.

Thus the reasonable domain for the situation given above is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

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Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Answer:

$3.07

Step-by-step explanation:

Ms. Gantt has a $15 gift card to Starbucks.

She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3

2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58

and a juice for $3.05. = 1 × 3.05 = $3.05

Now,

$15 - $5.3 - $3.58 - $3.05 = $3.07

Thus, $3.07 remains on her gift card

Answer:

a)

i) Interquartile range is   2.4  

ii) Upper boundary is 10.8  

The Lower boundary is 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1

b) The modified boxplot with one outlier is given in the diagram.                                                          

c) The 80th percentile is    

The minimum rating the hotel can get is 7.3

Step-by-step explanation:

a)

i) Interquartile range is  

IQR = Q3-Q1 = 7.2-4.8 = 2.4  

ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8  

Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1  

c) The 80th percentile is given by  

n= 12  

k = 0.80  

Index is given by k*n =0.80*12 = 9.6  

Round to nearest whole number, that is 10th  

80th percentile is the 10th number (arranged in ascending order)  

80th percentile = 7.3  

The minimum rating the hotel can get is 7.3.

b) The modified boxplot with one outlier is given as follows,  

The probability of selecting a three and then selecting a five is 0.6%

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur.

Probability is computed by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct ideas. Odds are calculated by dividing the probability that something will occur by the probability that it will not occur.

Because there are four threes in the deck, the probability of picking one is 4/52.

Then, for the second draw, there are four fives as well, but because you already chose a card and did not replace it, there are only 51 cards in the deck, therefore the likelihood of drawing a five is 4/51.

The product of the two individual probabilities is the likelihood of both events occurring.

So,

(4/52) × (4/51)= 16/2652

= 4/663

= 0.6%

Hence,  the probability of selecting a three and then selecting a five is 0.6%

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Answer:

1.67

Step-by-step explanation:

1.5x*6=9x and after that you would want to get x on one side so 3.4+11.6=15 and then you would divide 9 by 15 because you want x alone on one side which gives you 5/3 or 1.66666666667

I know some of these words

On solving the provided question, we can say that We can use the trigonometry sine to solve for the other side: sin 65 = y/20 => y = 18.126

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study.

We can arrange a right triangle with 20 feet as the hypotenuse and 65 degrees as the angle between the hypotenuse and adjacent side assuming that the ground and wall meet at a 90 degree angle. The side across from the angle would be the amount of feet the ladder extends up the wall

We can use the trigonometric function sine to solve for the other side:

sin 65 = y/20

y = sin(65) . 20

y = 18.126

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Answer:

Step-by-step explanation:  i think the answer is A

Answer:

36π

Step-by-step explanation:

2πR= 12π so R=6

S= πR^2=36π

The amount of candy that costs $1. 80 per pound that she will be able to use would be = 107 candies.

The mass of candy that Miss Ann has selected = 80 pounds

The cost of each pound of the candy = $2.40 per pound

The cost of the selected candy by its mass = 80×2.4 = $192

But the amount of candy that cost $1.80 per pound she will be able to make = 192/1.8 = 107 (approximately)

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Answer:

it should be c. 5/8

Step-by-step explanation:

Since the spinner is out of 8 and the probability is asking for above 3, subtract the 3 from the 8, and you get 5/8

im not too sure if this makes sense, or if it works for everything, but it does help with this. Hope i helped :)

Answer:

C. 5/8

Step-by-step explanation:

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

greater than 3·30

370%=3.7

3.7×30= 111

3×30=90

111>90

I hope this helps: