Sammy Speedster drives a truck for the Quick 'N Fast Delivery


Service. Every day he drives a route from Houston to San Antonio, a


distance of 200 miles. In his logbook, he keeps a record of the


amount of time it takes to drive the route.



what's a reasonable domain and range?

Answer:

yes .

Step-by-step explanation:

=======================================================

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like \(5*\square\)

Then let's say we fill that box with the value 7. We would then have \(5*\boxed{7}\)

If we put 3 in the box instead we'll have \(5*\boxed{3}\) and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

--------------------------

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

Answer:

-22x - 1

Step-by-step explanation:

(-12x+(-13)) - (10x+(-12))        

(-12x-13) - (10x-12)           Take away the plus sign since addition of a negative is            the same as subtraction.

(-12x-10x) + (-13+12)          Put like terms together.

-22x - 1                             Simplify

Answer:the answer is -22x-1 hope that helps

Step-by-step explanation:

Answer:

Useful for this exercise:

Finding missing angles:

#1

Use angle sum property

m<1

#2

Angles are complementary

m<2

#3.

Angles are supplementary

m<3

#4.

Use angle sum property

m<4

Inferences are drawn from collected data to make a conclusion or prediction about a larger population or phenomenon. Biased questions are designed to influence respondents and direct them towards a specific answer, potentially distorting the results. A statistics sample is drawn from a larger population and analyzed to make informed predictions or generalizations about the entire population.

1. Inferences are conclusions or predictions made based on the evidence or data collected. By analyzing a random sample, researchers can make reasonable inferences about the larger population or phenomenon.

2. Biased questions are designed to manipulate respondents by guiding them towards a predetermined answer. Such questions can skew the results and compromise the objectivity and reliability of the data collected.

3. Statistics involves the systematic process of gathering, organizing, and analyzing numerical information. This discipline utilizes various statistical techniques and tools to draw meaningful insights, identify patterns, and draw conclusions from the data.

4. An unbiased sample is one where every member of the population has an equal chance of being selected. This ensures fairness and minimizes potential biases in the sample, allowing for more accurate representation and generalization of the population.

5. Statistics samples are drawn from a larger population and analyzed to make predictions or generalizations about the entire population. By carefully selecting and analyzing the sample, statisticians can make informed predictions and draw conclusions about the characteristics or behavior of the larger population.

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Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

 and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Answer:

WHAT IS THE MID-POINT OF "AB"

A=(-3,3)

B=(-5,-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

The missing side length, n of the given triangle ΔQRS is n = 18. Where the scale factor is 2.25.

It is given that,

ΔABC ~ ΔQRS

The lengths of the ΔABC are:

AB = 4;

AC = 8;

The lengths of the ΔQRS are:

QR = 9;

QS = n;

Then, the scale factor is calculated by QR/AB = 9/4 = 2.25

Then, the required length of the larger triangle is

n = 2.25 × 8 = 18

Therefore, the value of n is 18.

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The type of sampling used in this scenario is called "random sampling" or "simple random sampling".

In random sampling, each member of the population (in this case, the 200 people) has an equal chance of being selected. Since the Excel generated random numbers and the corresponding names were chosen, without any specific criteria or bias, it represents a random selection process. Therefore, it is an example of random sampling.

what is  random sampling?

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal and independent chance of being chosen. It is a fundamental technique used in statistics and research to gather data and make inferences about the larger population.

In random sampling, every individual or element in the population has an equal probability of being selected for the sample. This ensures that the sample is representative of the population and reduces bias. Random sampling helps to generalize the findings from the sample to the entire population, as it provides a fair and unbiased representation.

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Answer:

7

Step-by-step explanation:

The corresponding non-trigonometric functions are:A. tan(arcsin(x/3)) - (x/sqrt(9-x^2))B. cos( arcsin (x/3)) - (sqrt(9-x^2)/3)C. (1/2) sin(2 arcsin(x/3)) - (x sqrt(9-x^2))/9D. sin(arctan(x/3)) - (x/sqrt(9+x^2))E. cos(arctan(x/3)) - (3/sqrt(9+x^2))

Trigonometric expressions are the functions of angles. The six trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

Taking the given values, \(\(\frac{x}{3}=\sin(\theta)\)\)

\(\(\theta=\arcsin(\frac{x}{3})\)  \(\frac{x}{3}=\sin(\theta)\)  \(\frac{\sqrt{9-x^2}}{3}=\cos(\theta)\)A. tan(arcsin(x/3))\)

This expression can be evaluated as \(\(\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{x}{3}}{\frac{\sqrt{9-x^2}}{3}}=\frac{x}{\sqrt{9-x^2}}\)B. cos( arcsin (x/3))\)

From the above derivation, we have\(\(\cos(arcsin(x/3))=\frac{\sqrt{9-x^2}}{3}\)C. (1/2) sin(2 arcsin(x/3))We have \(\sin(2\theta)=2\sin(\theta)\cos(\theta)\)\)

From this, we have\(\(\sin(2\arcsin(x/3))=2\sin(\arcsin(x/3))\cos(\arcsin(x/3))\)Then, \(\sin(2\arcsin(x/3))=2\frac{x}{3}\times\frac{\sqrt{9-x^2}}{3}\)\)

Finally,\(\(\frac{1}{2}\sin(2\arcsin(x/3))=\frac{x\sqrt{9-x^2}}{9}\)D. sin(arctan(x/3))Taking the given values, \(\frac{x}{3}=\tan(\theta)\)

From this, we get \(\(\theta=\arct\)an(\frac{x}{3})\)Then, \(\sin(arctan(x/3))=\frac{x}{\sqrt{9+x^2}}\)E. cos(arctan(x/3))\)

Taking the given values,\(\(\frac{x}{3}=\tan(\theta)\)From this, we get \(\theta=\arctan(\frac{x}{3})\)Then, \(\cos(arctan(x/3))=\frac{3}{\sqrt{9+x^2}}\)\)

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The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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Answer: 64 degrees and Corresponding Angles Theorem and Linear Pair Theorem

If you start testing out every theorem then at a conclusion you will reach the answer of which theorem is used at first. So let's clear out all the theorem's

Alternate Interior Angle Theorem:  States that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

So, in the figure below, if k ∥ l , then ∠2≅∠8 and ∠3≅∠5 . (the first image)

So in order to find angle 15, if we only use the Alternate Interior Angle Theorem then the match won't be finished so it is excluded.

Corresponding Angles Theorem: States that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent.(2nd image)

So, if we follow this then we can find angle 16 only from angle 8. Another theorem is also mentioned with it so let's do that as well so that we see if it works out.

Linear Pair Theorem: If two angles form a linear pair, then the measures of the angles add up to 180°. (3rd image)

So if we know the value of angle 16 so if we subtract it from 180, then the value comes as the line is a straight line. So we can find angle 15 from it. Let's do the sum then,

As said angle 8 is corresponding to angle 16 so their values will be the same which is 116 degrees. Now subtract 116 from 180, 180-116 which is 64 degrees.

Just for more information:

Vertical Angle Theorem: If two angles form a linear pair, then the measures of the angles add up to 180°. Basically if two lines intersect then the opposite angles are equal.

Sorry for making it too long! And brainliest pwease if it is correct! <3 ~ ~ ~

the correct answer to the given question about car loan is option D: $2,315.38; $383.22.

To determine the interest and monthly payment for the car loan, we can use the add-on interest formula:

Total Interest = Principal x Rate x Time

where:

Principal = $16,079 (the amount of the loan)

Rate = 3.6% (the add-on interest rate)

Time = 4 years

Total Interest = $16,079 x 0.036 x 4

Total Interest = $2,315.38

So the total amount of interest on the loan is $2,315.38.

To calculate the monthly payment, we can use the following formula:

Monthly Payment = (Principal + Total Interest) / (Number of Payments)

where:

Principal = $16,079 (the amount of the loan)

Total Interest = $2,315.38 (the total interest on the loan)

Number of Payments = 4 x 12 = 48 (since the loan is for 4 years, and there are 12 months in a year)

Monthly Payment = ($16,079 + $2,315.38) / 48

Monthly Payment = $383.22

Therefore, the amount of interest on the loan is $2,315.38 and the monthly payment for the car loan is $383.22.  

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Answer:

{0, 1, -1}

Step-by-step explanation:

2x - 6 = 3x + 1 - x - 7

2x - 6 = 2x - 6

0 gives you -6 = -6

1 gives you -4 = -4

-1 gives you -8 = -8

Answer: $51.10

Step-by-step explanation:

Formula: Price x Percentage not needed to pay(discount)

= 146 x 0.35

= $51.10

Answer:

A = 93.31 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 6.2, b₁ = 7.8, b₂ = 14.7 + 7.6 = 22.3 , then

A = \(\frac{1}{2}\) × 6.2 × (7.8 + 22.3) = 3.1 × 30.1 = 93.31 ft²

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

y = -x + 5 or  y = -1x + 5

you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk

Step-by-step explanation:

5 (6 - x) = 5 (1 + y)

30 - 5x = 5 + 5y

-5             - 5    

25 - 5x = 5y

5y = -5x + 25

5            5

y = -x + 5

The number οf histοry bοοks is 180 that sοld in a week. The number οf chemistry textbοοks is 108 sοld in a week.

There are many different ways tο define an equatiοn. The definitiοn οf an equatiοn in algebra is a mathematical declaratiοn that illustrates the equality οf twο mathematical expressiοns.

Given that the tοtal number οf bοοks that sοld in a week is 288.

The number οf chemistry textbοοks sοld was 72 less than the number οf histοry textbοοks sοld.

Assume that the number οf histοry textbοοks sοld was x.

The number οf chemistry textbοοks sοld was (x-72)

The tοtal number οf bοοks sοld was x + (x-72) = 2x - 72.

Accοrding tο the questiοn:

2x - 72 = 288

Add 72 frοm bοth sides:

2x - 72 + 72 = 288 + 72

2x = 360

Divide bοth sides by 2:

x = 360/2

x = 180

The number οf histοry textbοοks sοld was 180.

The number οf chemistry textbοοks sοld was (180-72) = 108.

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No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.

The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.

The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.

Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.

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Answer:

at least 16 caps

Step-by-step explanation:

150-3c=12.5c

subtract 3c from each side

150=9.5c

divide each side by 9.5

≈15.8

up to 16

The least number of caps that need to be sold to make a profit is 16 caps.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The total cost of ordering x caps.

= 150 + 3x

Now,

Cost of selling one cap = $12.50

Number of x caps to sell to make a profit.

12.50x > 150 + 3x

12.50 - 3x > 150

9.50x > 150

x > 150/9.50

x > 15.78

We can cross-check.

The total cost of ordering 16 caps.

= 150 + 3 x 16 = 150 + 48 = $198

Amount after selling 16 caps.

= 12.50 x 16

= $200

Thus,

16 caps need to be sold to make a profit.

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Answer:

30.7

Step-by-step explanation:

Answer:

The answer is H

Step-by-step explanation:

I'm almost 100% sure its F:(x - 16)(x - 4)

Answer:

$15.27

Step-by-step explanation:

80.00 - 64.73

Take -1 from each digit until all digits are subtractable

7-6 = 1

9-4 = 5

9-7 = 2

10-3 = 7

15.27

Natasha get $15.27 in change.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Natasha bought a pair of boots for $64.73.

Natasha  gave the cashier $80.00.

So, she get

= 80- 64.73

= $15.27

Hence, Natasha get $15.27 in change.

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Answer:

A

Step-by-step explanation:

We are given the two functions:

\(f(x)=4x+5\text{ and } g(x)=x^2-2x-2\)

And we want to find:

\((f+g)(x)\)

This is equivalent to:

\(=f(x)+g(x)\)

Substitute:

\(=(4x+5)+(x^2-2x-2)\)

Rearrange:

\(=(x^2)+(4x-2x)+(5-2)\)

Combine like terms. Hence:

\((f+g)(x)=x^2+2x+3\)

Our answer is A.

The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is 1/3.

The volume of a pyramid is (1/3) (base area) (height)

Volume of the lower pyramid = (1/3) (base area) (height) Volume of the upper pyramid = (1/3) (basearea × height)

The combined volume of both pyramids = (2/3) × (base area) (height) .

Their base area is  (length x width) of the prism, and their height is  (1/2 the height) of the prism.

From here, we'll work with the dimensions of the prism ... L, W, and H .

Combined volume of the pyramids = (2/3) (L x W) (1/2 H)

=  (1/3) (L x W x H) .

Volume of the prism  =  (L x W x H)

The pyramids occupy 1/3 the volume of the prism.

The ratio is  1/3 .

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Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is