2. Determine if the diagram is a function.
Why or why not?
Please

Answer:

a) 24 minutes

b) 20 mph

Step-by-step explanation:

  time= 12 min

         [tex]\sf = \dfrac{12}{60} \ hour[/tex]

 speed = 60 mph

[tex]\sf \boxed{distance =speed * time}[/tex]

                [tex]\sf = 60 * \dfrac{12}{60}\\\\ = 12 \ m[/tex]    

a) Speed = 30 mph

      [tex]\sf \boxed{time = \dfrac{distance}{speed}}[/tex]

               [tex]\sf = \dfrac{12}{30}\\\\ = \dfrac{2}{5} \ hour\\\\ = \dfrac{2}{5}*60\\\\= 2 * 12\\\\= 24 \ minutes[/tex]

It will take 24 minutes.

c) time = 36 minutes

           [tex]\sf = \dfrac{36}{60} \hour[/tex]

 [tex]\sf \boxed{speed= \dfrac{distance}{time}}[/tex]

            [tex]\sf = \dfrac{12}{ \dfrac{36}{60}}\\\\\\ = 12* \dfrac{60}{36}\\\\= 20 \ mph[/tex]

Average speed = 20 mph

Answer:

Step-by-step explanation:

there is no question?

Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

The slope of the road is 159/53

What is a slope?

How steeply a line slopes from left to right is known as its slope. By dividing a line's rise, or vertical change, by run, or horizontal change, one can calculate a line's slope, the slope of a line is always constant (it never varies).

To calculate the slope of a line using the formula

m = rise / run = (y₂ - y₁)/(x₂ - x₁)

where, m = slope

(x₁, y₁) = coordinates of the first point in the line

(x₂, y₂) = coordinates of the second point in the line

Here, we have

rise = 795

run = 265

by using the slope formula,

m = rise/run

m = 795/265

m = 159/53

Hence, the slope of the road is 159/53.

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The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

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The price for 7 bags of trail mix and 4 bananas is  15.45  dollars.

The expression for x trail bag and y bananas is 1.35x + 1.50y.

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Therefore, the cost of a bag of trail mix at the corner store is 1.35 dollars  and the cost of a banana is 1.5 dollars.

The cost for 7 bags of trail mix and 4 bananas can be computed as follows;

let

x = bags of trail mix

y = number of banana

Therefore,

1.35x + 1.50y

1.35(7) + 1.50(4) = 9.45 + 6 = 15.45

Therefore, let's find the expression for x trail bag and y bananas.

Hence,

1.35x + 1.50y

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The line represents that x is anywhere from negative infinity to 1:

x < 1

Answer: x<1

Step-by-step explanation:

X is less than one on the graph because everything on the darker line is the solution.

Ex:

-1<1

The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = [tex]\frac{-x+23}{3}[/tex].

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = -2/6=-1/3

Now using slope formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=>y-8=-1/3(x+1)

=>3y-24=-x-1

=> 3y=-x+23

=> y = [tex]\frac{-x+23}{3}[/tex]

Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].

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Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

Considering the confidence interval, the non-reasonable value for the true mean weight of the residents of the town is:

A value that is less than 184 or more than 202.

The confidence interval for a population mean is given by the point estimate of this mean, which is the sample mean, plus/minus the margin of error.

For the context of this problem, these parameters are given as follows:

Hence the lower bound of the interval is:

193 pounds - 9 pounds = 174 pounds.

The upper bound of the interval is:

193 pounds + 9 pounds = 202 pounds.

All the values that are in the interval are reasonable values for the population mean, hence, in the context of this problem, the not reasonable values are given as follows:

A value that is less than 184 or more than 202.

(as they would be outside the confidence interval).

The options are not given, hence the answer was given in general terms.

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Answer:

Step-by-step explanation:

The z-score under which 3/4 of the data lies is of:

Z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.

Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.

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Answer:

i think it 8h

Step-by-step explanation:

The standard form of the equation, 3y = 9x -12, is -5x + y = 0.5. The correct option is the third option -5x+y=0.5

From the question, we are to write the given equation is standard form.

The given equation is

y = 5x + 0.5.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 5x + 0.5

Subtract 5x from both sides of the equation

y - 5x = 5x - 5x + 0.5

y - 5x = 0.5

Rewrite the equation, so that it would correspond to the standard form of a linear equation

-5x + y = 0.5

Hence, the standard form is -5x + y = 0.5

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Proved that the triangle ABW ≅ triangle DCW

In the given question,

The length of WA = The length of WD

The measure of angle 5 = The measure of angle 7

Here we have to prove that one angle and two sides of the triangle ABW is equal to the one angle and two sides of the triangle DCW

Consider the triangle ADW,

In the triangle ADW the length of the WA is equal to the length of WD.

Therefore the measure of angle A is equal to the measure of angle D.

So in triangle ABW and the triangle DCW, one side and two angles are equal.

Therefore the triangle ABW and triangle DCW are congruent

Hence, proved that the triangle ABW ≅ triangle DCW

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[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]

With 95% confidence, the margin of error is 19.523, population mean is (253.477, 292.523) and the change in cost over the two-year period is 19.21%.

In the given question,

The average cost per night of a hotel room in New York City(y) = $273

Number of rooms in hotel(n) = 45.

The sample standard deviation(s) = $65

(a.) Now finding the margin of error, with 95%(0.95) confidence.

The formula of margin of error is

ME= [tex]z_{\alpha /2}\times \frac{s}{\sqrt n}[/tex]

Now find the value of [tex]z_{\alpha /2}[/tex].

[tex]\alpha[/tex] = 1-0.95

[tex]\alpha[/tex] = 0.05

[tex]\alpha[/tex]/2 = 0.05/2

[tex]\alpha[/tex]/2 = 0.025

Now the value of [tex]z_{\alpha /2}[/tex]

[tex]z_{\alpha /2}=z_{0.025}[/tex]

From the standard table of z is 2.015.

Now putting the value in formula

ME= 2.015 × 65/√45

ME= 2.015 × 65/6.708

ME= 2.015 × 9.689

ME= 19.523

Hence, with 95% confidence, the margin of error is 19.523.

(b) Now finding .the 95% confidence interval estimate of the population mean.

Population Mean = y ± ME

Population Mean = 273 ± 19.523

Population Mean = {(273-19.523), (273+19.523)}

Population Mean = (253.477, 292.523)

(c) Now two years ago the average cost of a hotel room in New York City was $229 then the change in cost over the two-year period is

The change in cost = difference between the cost/old cost

The change in cost = (273-229)/229 *100

The change in cost = 44/229 *100

The change in cost = 0.1921 *100

The change in cost = 19.21%

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Answer:

try to show it step by step

Answer:

6 and - 18

Step-by-step explanation:

let the 2 integers be a and b , then

a + b = - 12 → (1)

[tex]\frac{a}{b}[/tex] = - 3 → (2)

multiply both sides by b ( b ≠ 0 )

a = - 3b

substitute a = - 3b into (1)

- 3b + b = - 12

- 2b = - 12 ( divide both sides by - 2 )

b = 6

substitute b = 6 into (1) and solve for a

a + 6 = - 12 ( subtract 6 from both sides )

a = - 18

the two integers are - 18 and 6

The freezing point of water in relation to the freezing point of acetone, is 169 °F

The difference between the freezing point of water (how much warmer the freezing point of water is) and the freezing point of acetone can be found by the formula:
= Freezing point of water - Freezing point of acetone

Freezing point of water = 32°F

Freezing point of Acetone = – 137°F

In relation to the freezing point of acetone, the degrees warmer that the freezing point of water is:

= 32 - (- 137)

= 32 + 137

= 169 °F

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The probability that the proportion of airborne viruses in a sample of 533 viruses would differ is 0.0062.

From the information, the scientist claims that 9% of viruses are airborne and the proportion of airborne viruses in a sample is 533 viruses.

The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.

The mean is 0.09 and the standard deviation is 0.012.

The probability will be:

= 1 - P[Z < (0.12 - 0.09/0.013)]

= 1 - P(Z < 2.5)

= 1 - 0.99379

= 0.0062

This shows the concept of solving probability regarding z values.

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85

Step-by-step explanation:

Given,

[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]

Put x = 9 in Eqⁿ (1)

[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]

[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]

[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]

Let

[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]

Substitute the value of h(9) in Eqⁿ (2)

[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]

[tex]{ \green{ \sf{23 + 62}}}[/tex]

[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]

The value of x for the triangle by the mid point theorem is obtained as 5.

For the given diagram in the question.

As, the sides of the triangle is divided in equal parts.

By the mid -point theorem-

(1/2)24 = x + 7

12 = x + 7

x = 12 - 7

x = 5

Thus, the value of x for the triangle by the mid point theorem is obtained as 5.

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Answer:

5 pounds

Step-by-step explanation:

1 kg = 2.205 lbs.

2.25×2.205

⇒4.96125

Check the picture below.

The required solution of the given absolute value equation is z = 4/3 and z = 1/3.

Given that,
To solve the absolute value equation |6z-3|=5

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)

6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3

Thus, the required solution of the given absolute value equation is

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The quotient estimated value of 394.6/9 is 43.84

A quotient is the number which is generated when we perform division operations on two numbers. Basically, it is the result of the division method. There are four main terminologies used in the arithmetic division such as divisor, dividend, quotient and remainder. For example, 15/3= 5 .The number that is being divided ( 15) is called the dividend, and the number that it is being divided by (3) is called the divisor. The result of the division(5) is the quotient.

Therefore the quotient of 394.6/9= 43.84

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The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).

A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.

The functions are given below.

f(x) = x

g(x) = -3f(x) + 1

g(x) = -3x + 1

The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.

The functions g(x) and f(x) are shown below.

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Answer:

x = 12

Step-by-step explanation:

if l and m are parallel that means that since the two angles are consecutive interior they add to 180

so add them both and set that to 180

9x - 4 + 5x + 16 = 180

now combine like terms

14x + 12 = 180

subtract 12 from both sides

14x = 168

divide everything by 14

x = 12

that is the answer

Answer:

Step-by-step explanation:

Let's find x:-

[tex]\sf 9x-4+5x+16=180^o[/tex]

Combine like terms:-

[tex]\sf 9x+5x-4+16=180[/tex]

[tex]\sf 14x-4+16=180[/tex]

[tex]\sf 14x+12=180[/tex]

Add/Subtract numbers:-

[tex]\sf 14x+12-12=180-12[/tex]

[tex]\sf 14x=168[/tex]

Divide both sides by 14:-

[tex]\sf \cfrac{14x}{14}=\cfrac{168}{14}[/tex]

[tex]\sf x=12^o[/tex]

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