The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.

The line of symmetry for the above figure is attached accordingly.

In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.

That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.

After inserting the symmetry lines, the above resulted in a kite.

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When y = ex is used, its range is [2,  ∞] In quadrant 2 of a coordinate surface, a curve approaches y = 1.

The collection of all feasible output values, or y-values, of a function is known as the range in mathematics. It symbolizes the variation between the largest and smallest values in the collection of function output values. For instance, the range of a function f(x) = x2 defined over the domain [-2, 2] would be [0, 4], as the output numbers fall between 0 and 4. In other words, given the domain, the range is the collection of all feasible values for the dependent variable (y-values) of a function (x-values). It is a crucial idea in mathematics, especially when it comes to functions and their graphs, as it aids in describing a function's behavior and potential values.

given

We know that the function's range contains all positive real numbers greater than or equal to 1 because the curve approaches y = 1 in quadrant 2 and increases into quadrant 1.

We can use the fact that the function grows without bound as x gets closer to positive infinity to determine the upper bound of the range. The range therefore encompasses all real positive integers.

Since the function crosses the y-axis at (0, 2), which indicates that the range contains all positive real numbers greater than or equal to 2,

When y = ex is used, its range is [2,  ∞] In quadrant 2 of a coordinate surface, a curve approaches y = 1.

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The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer: There are 3 days until all the food is gone.

Step-by-step explanation:

If you take 1 1/2 x 3 = 1 1/2  and then take 4 1/2 and divide that by the 1 1/2 you got, You will then get your answer which is 3. Looks like he might wanna get more dog food within 3 days.

Answer:

3 days

Step-by-step explanation:

we first turn 4 1/2 into its decimal 4.5 then divide it by 1/2 or .5 and get 9. we then take 9 and divide it by 3 for the amount of times a day the puppy gets fed. after that step we have out answer of 3 days.

Answer:

67,500

Step-by-step explanation:

i think this is the answer.

Answer:  67500

This is because 536 is closer to 500 than it is to 600

Answer: y1-2/x1-x2

Step-by-step explanation:

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

B. 0.597

Step-by-step explanation:

Probability (p) of A and B = p(A)*p(B)

Answer:

C is correct! for the slope, N is represented.

Step-by-step explanation:

The slope of the line that contains the points (1, 9) and (3, 4) is 4−93−1=−52.

slope=y2−y1x2−x1=4−93−1=−52

The negative reciprocal is 25, which is the slope of the perpendicular line.

Answer:

The total cost of the grapes, obtained by multiplying the quantity by the unit price = $8.25.

Step-by-step explanation:

It implies that 3 grapes were purchased and the cost of each is $2.75 per unit.

Therefore, the total cost of the grapes will be given by the following 3*2.75 or quantity multiplied by unit price,

which is equal to 8.25 after multiplication.  Then the dollar sign or any other currency sign is added to depict value in monetary terms.

Answer:

Step-by-step explanation:

the answer is 2

Answer: 1000000

Step-by-step explanation:

Answer:

answer 1000000

have a nice day

The graph of the function f(x) = x^3 + x^2 - 9x - 9 will have an upward curve with one or more turning points. The end behavior shows that as x approaches positive or negative infinity, f(x) also approaches positive or negative infinity, respectively. The zeros of the function can be found by solving the equation x^3 + x^2 - 9x - 9 = 0, and the y-intercept is at (0, -9).

To sketch the graph of the function f(x) = x^3 + x^2 - 9x - 9, we can analyze its properties and identify key points.

End Behavior:

As x approaches positive infinity or negative infinity, the function will also approach positive infinity or negative infinity, respectively. This is because the highest power of x in the function is x^3, which dominates the behavior for large values of x.

Zeros:

To find the zeros of the function, we set f(x) equal to zero and solve for x:

x^3 + x^2 - 9x - 9 = 0

Unfortunately, this cubic equation does not have simple rational zeros that can be easily found. Therefore, we will need to approximate the zeros using numerical methods or graphing tools.

Y-Intercept:

To find the y-intercept, we set x = 0 and evaluate f(x):

f(0) = (0)^3 + (0)^2 - 9(0) - 9 = -9

Therefore, the y-intercept is (0, -9).

Based on the information above, we can now sketch the graph. However, without the precise values of the zeros, the graph will be an approximation.

The graph will have an upward curve with one or more turning points. It will approach positive infinity as x goes to positive infinity and negative infinity as x goes to negative infinity. The y-intercept is at (0, -9).

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Before we begin we will order the data set given

4, 6, 7, 9, 10, 11, 11, 12, 15, 16

Mean.

The mean of a data set is given by:

where the denominator means that we have to add the points on the data and then divide them result by the number of points in the data. In this case we have:

Hence the mean of the data set is 10.1

Median.

The median is the central value of the ordered data set. In this case we have an even number of values which means that the median is the average of the central values. The central values in this set are the the fifth and sixth term, that is, 10 and 11. The median is then:

Mode

The mode is value that occur most frequently. In this case only the 11 repeats itsefl, hence the mode is 11.

Summing up we have:

Mean 10.1

Median 10.5

Mode 11

A like radical to the one shown is Option C.

We know that we can be able to perform mathematical operations on the radicals such as adding and subtracting but this must be performed when we have like radicals.

When we talk about like radicals we mean that the radicals must be such that it easy for the radical to be worked upon as we have it in the question that is before us here to locate a like radical among the options.

The radical in option C has the same 2x and power as the given radical hence they are like radicals.

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Answer:

5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The solutions to the given variables are given as follows:

To solve an equation for a given variable, we isolate the variable and find it's value.

The first equation is:

3A = -30.

To isolate A, we apply the division, which is the inverse operation of the multiplication, hence:

A = -30/3

A = -10. (negative number divided by positive is negative).

The second equation is:

-9B = 45.

Hence we isolate B similarly to the previous item, applying the division, hence:

B = -45/9

B = -5.

The solutions are A = -10 and B = -5.

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Answer:

31 days

Step-by-step explanation:

155/5=31

Answer: 31

Step-by-step explanation:

155 divided by 5 equals 31

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

Answer:

7623 divided by 77=99

99 x 77=7623

Step-by-step explanation:

The product of the two numbers = 7623

One of the number = 77

The other number.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{Solution⤵}}}}}∘\)

The other number is 99. ✅

Let the other number be \(x\).

As per the condition,

\(x \times 77 = 7623 \\ ✒ \: x = \frac{7623}{77} \\ ✒ \: x = 99\)

Hence, the two numbers are \(\sf\purple{77}\) and \(\sf\pink{99}\) respectively.

To verify:-

\(99 \times 77 = 7623 \\ ➪ \: 7623 = 7623\)

➪ L. H. S = R. H. S.

Hence verified.

\(\large\colorbox{orange}{Happy\:learning.✌️}\)

Answer:

x = 80

Step-by-step explanation:

supplementary angles sum to 180°

sum the 2 angles and equate to 180

x + 40 + x - 20 = 180

2x + 20 = 180 ( subtract 20 from both sides )

2x = 160 ( divide both sides by 2 )

x = 80

Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

Dawn10÷4=40% Elena50÷25=50% 50 is better than 40

Answer:

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

If the system of linear equations has infinitely many solutions, it means the two lines overlap.

In other words, each point of one of the lines also belongs to the second line.

Choices a, b, c  give us one or no solutions and therefore not the answer.

Choice d is reflecting the infinitely many solutions and hence is the correct one.