7. The scatterplot shows the relationship between the number of minutes a person works out and the how many
calories they burn.

Based on the scatterplot, what is the best prediction of the amount of calories someone would burn if they worked out
for half an hour?

A.100
B. 150
C. 125
D. 25

Answer:

8/3 = k IG

Step-by-step explanation:

PLZ MARKK BRAINLIEST

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

= 20 + 7x

Step-by-step explanation:

2(5+3x) + (x + 10)

10 + 6x + (x + 10)

= 20 + 7x

The simplified expression is 20+7x.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given:

2(5+3x) + (x + 10)

Now, simplifying

10 + 6x + x +10

=10 + 10 + 6x + x

=20 + 7x

Hence, the simplified expression is 20+7x

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Answer:

Since Ian has $75 dollars, it would be enough to buy at least one DVD box set. However, there's not that much information in the statement.

Hope this helps with your question :)

The length of the diameter is 18 meters

from the question, we have the following parameters that can be used in our computation:

SA = 1017.36

The shape is a sphere

So, we have

SA = 4πr²

Substitute the known values in the above equation, so, we have the following representation

4πr² = 1017.36

So, we have

r² = 80.96

Take the square root

r = 9

Multiply by 2

d = 18

Hence, the diameter is 18 meters

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The formula for the test statistic Z depends on the specific hypothesis test being conducted. However,  the test statistic Z can be computed as:

Z = (x - μ) / (σ / √n)

The formula for the test statistic Z is:

Z = (x - μ) / (σ / √n)

where:

x is the sample mean

μ is the population mean (under the null hypothesis)

σ is the population standard deviation (under the null hypothesis)

n is the sample size

This formula is used for a z-test, which is a statistical test that assumes that the population is normally distributed and uses the standard normal distribution to calculate the p-value.

In some cases, the population standard deviation is unknown, and so the sample standard deviation (s) is used as an estimate. In these cases, the formula for the test statistic Z is:

Z = (x - μ) / (s / √n)

where s is the sample standard deviation.

It's important to note that the formula for the test statistic Z can vary depending on the specific hypothesis test being conducted.

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Multiplying by 1.23123

Explanation: Slide the decimal points over by 2 points

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Multiplying by 1.23123 number is equivalent to finding 123.123%.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

123.123%

now, we have,

Multiplying by 1.23123 number is equivalent to finding 123.123%.

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Answer:

Step-by-step explanation:b

The rate of change of [x] with respect to [y] will be 4.5.

Rate is the measure of rate of change of variable [y] with respect to variable [x]. Mathematically -

Rate [r] = dy/dx

Given is a table that shows a linear relationship between x and y.

In order to find the rate of change of [y] with respect to [x], we have to select any two coordinates from the given ones. Suppose that we take

(- 20, 96) and (- 12, 60).

The rate of change of [y] with respect to [x] can be calculated as follows -

r = (y₂ - y₁)/(x₂ - x₁)

r = (60 - 96)/(-12 + 20)

r = - 36/8

r = 4.5

The rate of change will be 4.5.

Therefore, the rate of change of [x] with respect to [y] will be 4.5.

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Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,  

We have, AD=AD (normal)  

∠A=∠A (Given)  

BA=CD (Sides inverse to rise to points are consistently equivalent)  

With the SAS rule of congruency,  

ΔABD≅ΔDCA

Brainliest?

Step-by-step explanation:

Volume of cube will be V = (3a)³ =27a³

If a=2

V= 27(2)³ = 27×8 = 216 units³

Answer:

1/2 OR 0.5

Step-by-step explanation:

(*￣3￣)╭

Answer:

1/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation.

The slope is the change in y over the change in x. If you look at the change in y, it goes from 2 to 3, and 3-2=1. If you look at the change in x, it goes from -1 to 3, and 3-(-1)=4 (if you subtract a negative it adds the number instead). IF you put the change in y over the change in x, you get 1/4, which is D

For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.

In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L

x→a⁻ x→a⁺

We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.

So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)

= 16+ 3h

Now, lim [ f(5 + h) − f(5)]/ h

h→0

= lim [(16 + 3h) − (16) ]/ h

h→0

= lim [ 16 + 3h - 16 ]/ h

h→0

= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]

h→0 h→0

= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]

h→0 h→0

= lim 3 (1) = 3 ( since, x⁰ = 1 )

h→0

Hence, the required limit value is 3.

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The expected value of the winnings from a game will be \(2.96\) .

Probability is the ratio of the number of possible outcomes to the total number of outcomes.

we have,

Payout    \((\$) = 0,\ \ \ 1,\ \ \ 2,\ \ \ 5,\ \ \ 10\)

Probability \(=0.12,0.2,0.38,0.2,0.1\)

So,

To find the expected value,

Now,

Multiply payout values with its probability and sum these values,

i.e.

Expected value \(= (0*0.12)+(1*0.2)+(2*0.38)+(5*0.2)+(10*0.1)\)

                          \(=0+0.2+0.76+1+1\)

Expected value \(=2.96\)

Hence, we can say that the expected value of the winnings from a game will be \(2.96\) .

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The equivalence class \([x^2 + 3x + 1]\) consists of all polynomials p(x).

To find the equivalence class \([x^2 + 3x + 1]\) using description notation without directly referencing R, we need to describe the set of all elements that are related to \(x^2 + 3x + 1\) under the given equivalence relation.

The equivalence relation from exercise 11.3 states that two polynomials are equivalent if their difference is divisible by x + 2.

Therefore, the equivalence class \([x^2 + 3x + 1]\)can be described as follows:

\([x^2 + 3x + 1] = {p(x) | p(x) - (x^2 + 3x + 1)\) is divisible by (x + 2)}

In other words, the equivalence class \([x^2 + 3x + 1]\) consists of all polynomials p(x) such that the difference between p(x) and \((x^2 + 3x + 1)\) is divisible by (x + 2).

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Answer:

8.19 units.

Step-by-step explanation:

I didn't use desmos, i completed the question with all steps and working and didn't require desmos. Hope this Helps. Question was solved using trignometric ratios.

The scale factor of the dilation is the ratio of the lengths of the corresponding sides of the two triangles. Since triangle ABC and triangle A'B'C' both have side lengths of AB, BC, and CA, the scale factor is 1.

1. Calculate the length of the sides of triangle ABC:

AB = length of side AB of triangle ABC

BC = length of side BC of triangle ABC

CA = length of side CA of triangle ABC

2. Calculate the length of the sides of triangle A'B'C':

A'B' = length of side A'B' of triangle A'B'C'

B'C' = length of side B'C' of triangle A'B'C'

C'A' = length of side C'A' of triangle A'B'C'

3. Calculate the scale factor of the dilation:

Scale factor = (AB/A'B') x (BC/B'C') x (CA/C'A')

= (length of side AB of triangle ABC / length of side A'B' of triangle A'B'C')

x (length of side BC of triangle ABC / length of side B'C' of triangle A'B'C')

x (length of side CA of triangle ABC / length of side C'A' of triangle A'B'C')

= 1 x 1 x 1

= 1

Therefore, the scale factor of the dilation is 1.

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The inequality 2x - 3y < 15 has it solution represented in the graph below

Inequality occurs when a non-equal comparison is made between two mathematical expressions or two numbers. In general, inequalities can be either numerical inequality or algebraic inequality or a combination of both. Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.

In the inequality given;

2x - 3y < 15 can be solved using graphical method.

Kindly checked the attached graph for the solution to the inequality.

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False. Engineering controls such as self-sheathing needles and sharps containers do not eliminate the sharp risk but rather minimize the potential for injury.

Engineering controls, including self-sheathing needles and sharps containers, are designed to minimize the risk of injury from sharp objects, but they do not entirely eliminate the risk. These controls are an essential part of a comprehensive approach to reduce occupational hazards, particularly in healthcare settings where exposure to sharps is a concern.

Self-sheathing needles are designed to automatically retract into a protective covering after use, reducing the likelihood of accidental needlestick injuries. Sharps containers, on the other hand, are puncture-resistant containers specifically designed for the safe disposal of used sharps, such as needles, scalpels, and broken glass.

While these engineering controls significantly reduce the risk of injuries, they do not completely eliminate the sharp risk. There is always a possibility of human error or unforeseen circumstances where the controls may fail. Therefore, it is crucial to combine engineering controls with other preventive measures like safe work practices, proper training, and the use of personal protective equipment (PPE) to ensure a comprehensive approach to worker safety.

In conclusion, engineering controls such as self-sheathing needles and sharps containers are valuable tools in minimizing the risk of sharp-related injuries, but they do not eliminate the risk entirely. A multi-faceted approach that includes a combination of engineering controls, administrative controls, and PPE is necessary to ensure the highest level of worker safety.

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It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).

Given,

The equation is :

-5x - 3y = 12

To find the which ordered pair is a solution of above equation.

Now, According to the question:

-5x - 3y = 12

Value is (3, 9) of (x , y)

Substitute in above equation:

-5(3) - 3(9) = 12

-15 - 27 = 12

-42  ≠ 12

Values of (x , y)                                  Equation : -5x -3y = 12

(-5, 5)                                                         = - 10 < 12                                            

(3, -6)                                                         = -33 < 12

(-2, -5)                                                        = -25 < 12

(2, 8)                                                          =  14 > 12

(-6, 0)                                                         = 30 > 12

Hence, There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).

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Answer:

what do you want to know about it??

Step-by-step explanation:

The measure Circle of angle ∠RTS is 96°, and the measure of ∠RTQ is 84° in . Therefore, the answer is (b) 84°.

Let's call the measure of ∠RTS as x. Then, according to the problem, the measure of ∠RTQ is 12° less than x, so it's equal to x - 12°.

We know that angles ∠RTS and ∠RTQ are on a straight line, so their measures add up to 180°. Therefore:

x + (x - 12°) = 180°

Simplifying this equation, we get:

2x - 12° = 180°

2x = 192°

x = 96°

So the measure of ∠RTS is 96°, and the measure of ∠RTQ is x - 12°, which is:

96° - 12° = 84°

Therefore, the answer is (b) 84°.

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Answer:

480= 96x5

Step-by-step explanation:

multiply on a caluculater

Answer:

(-4, 2)

Step-by-step explanation:

5x + 15y = 10 ---› Eqn. 1

5x - 10y = -40 ---› Eqn. 2

Subtract the eqn 2 from 1 to eliminate the x variable

Thus:

25y = 50

Divide both sides by 25

y = 50/25

y = 2

Substitute y = 2 into eqn 1.

5x + 15y = 10 ---› Eqn. 1

5x + 15(2) = 10

5x + 30 = 10

Subtract 30 from each side

5x = 10 - 30

5x = -20

Divide both sides by 5

5x/5 = -20/5

x = -4

Solution would therefore be (-4, 2)

Answer:

The formula to calculate pressure at an altitude in this case is:

P = original pressure x (1 + rate of change)^(number of changing)

in which,

original pressure = 101 kilopascals

rate of change = -11.9% = - 0.119

number of changing = 2000/1000 = 2

=> P = 101 x (1 - 0.119)^2 = 78.39 kilopascals

Hope this helps!

:)

If the population standard deviation is unknown, then the t statistic (t ratio) is equal to the formula mentioned above.

When performing statistical inference with a sample of data, if the population standard deviation is unknown, then the t statistic (t ratio) is equal to:

\((sample mean - population mean) / (sample standard deviation / sqrt(sample size)).\)

When it comes to performing statistical inference, t-ratios or t-statistics are used to test hypotheses. The formula for t-ratio is calculated as the difference between the sample mean and the population mean, divided by the standard error of the difference.

When we do not know the population standard deviation and the sample size is small, then we use t-ratio instead of z-score.

This is because we need to estimate the population standard deviation from the sample data when performing statistical inference.

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The point of concurrence that is determined by the altitudes of the sides of the triangle is the orthocenter, in the attached image you will see an example.

A triangle is a geometric figure with three sides, which intersect at a point and form three angles that added together give 180°.

When we trace the heights from the sides of the triangle, there will be a point of concurrence of these three heights, this point of concurrence is called orthocenter.

I will show you an image so you can visualize the idea of a possible location, since this varies according to the type of triangle.

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Answer:

She used 2 17/20 strings of grey beads

Step-by-step explanation:

Here, we want to know the number of grey beads used

To calculate this, we simply add up the black beads number with the number of grey beads

Mathematically, that will be;

1 1/20 + 1 4/5

= 21/20 + 9/5

= (21 + 36)/20

= 57/20 = 2 17/20