Amelia bought a pair of shoes for $135 and some t-shirts that cost $21 each. Define a variable and write an expression that can be used to determine how much money Amelia spent. If Amelia bought 4 t-shirts how much money did she spend before taxes.​

Answer:

35%

Step-by-step explanation:

35% percent of the cupcakes were mocha

Answer:

10

Step-by-step explanation:

He planted 12 plants last year

1/3 (12) + 6 is what he planted this year

1/3 of 12 = 4

4+6 = 10

Answer:

THE ANSWER IS 10

Step-by-step explanation:

Answer:

84 points

y= 100-2x where y= total score (0 through 100) and x= # of questions wrong (0 through 50)

Step-by-step explanation:

100- 2(8) = y

100-16 = y

84=y

Since each question (x) is worth two points (2) we have to multiply each wrong question by two (2x). And then since we're deducting point from the possible points (100) we have to subtract (100-2x)

Answer:

Step-by-step explanation:

The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Answer:

Step-by-step explanation:

Answer:

final point is (-8,-9)

Step-by-step explanation:

when u relfect 8,9 over the x axis u get 8,-9 because relfetion of x axis= (x,-y) but the question asks u to relfect that over the y axis which is (-x,y) and u get (-8,-9)

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The final coordinates of the point will be (-8,-9).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the point (8,9) is reflected along the x-axis, the new coordinates will be (-8,9). Reflecting the result across the y-axis, we will get (-8,-9).

Hence, the final coordinates of the point will be (-8,-9).

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The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Answer:the answer is perimeter

Step-by-step explanation:

Answer:

7.083

Step-by-step explanation:

well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D

Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

120 cm²

Step-by-step explanation:

Since there are 7 cubes and the total volume = 56 cm³, each cube must have a volume of 56/7 = 8cm³ since the cubes are identical

The volume of a cube of side a = a³

Therefore a³ = 8

a=∛8 = 2

So each cube has a side length of 2 cm

To calculate the surface area note that each cube presents only 5 of its faces to the outside world. The sixth face is hidden inside the block. Also out of the 7 cubes, one cube is completely enclosed and none of its faces contribute to the total surface area. So we take only 6 cubes total into consideration for computing surface area

The face area of each cube = a² = 2² = 4

So surface area of each cube = 4 x 5 = 20 cm²

Surface are of 6 cubes = 20 x 6 = 120 cm²

Answer:

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

Explanation:

D = number of days

After 1 day, the crew adds on 2 miles. After 2 days, it's 2*2 = 4 miles. And so on. In general, the crew adds 2D miles of new road. For example, if D = 10 days go by, then the crew adds 2D = 2*10 = 20 miles of additional road.

This is on top of the 53 miles already done. Overall, we have 53+2D or 2D+53 miles of road. This is exactly what L is defined to be in the instructions.

Therefore, the equation is L = 2D+53

We can think of the 2 as the slope to represent how fast the road is growing (rate of change) and the 53 is the initial or starting value (y intercept).

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

For the second part, we'll replace D with 33 to find out how much road we have after 33 days.

L = 2D+53

L = 2*33+53

L = 66+53

L = 119 miles is the length of the road at the 33 day mark.

Answer:

2 gallon bottle is the smallest because it would be 16 pints of cleaner and that is equal to 2 gallons.

Answer:

y = 1.705882353

Step-by-step explanation:Combine like terms: 20 + 9 = 29

29 + -10y + -7y = 0

Combine like terms: -10y + -7y = -17y

29 + -17y = 0

Solving

29 + -17y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

29 + -29 + -17y = 0 + -29

Combine like terms: 29 + -29 = 0

0 + -17y = 0 + -29

-17y = 0 + -29

Combine like terms: 0 + -29 = -29

-17y = -29

Divide each side by '-17'.

y = 1.705882353

Simplifying

y = 1.705882353

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

-5 > -6, 21 > 0, -162 < -29, -63 > -69

Explanation:

To compare the numbers, we plot each on the number line. The leftmost numbers are the smallest and the rightmost are the greatest

Answer:

(4, -2 1/2)

Step-by-step explanation:

The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.

Answer:

(4, -2 1/2)

Step-by-step explanation:

i did edge test

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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The number which is as represented on the calculator display is; Choice A; 0.000001231151

It follows from the task content that the number which is represented on the calculator display is to be identified.

By checking, The display of the calculator is; 1.231151 E-⁶.

The number above can be represented as follows;

1.231151 × 10-⁶.

Since a negative exponent on the number ten indicates a shift leftwards, it follows that the number represented on the calculator display is;

0.000001231151.

Therefore, the correct number represented on the calculator display is; Choice A; 0.000001231151.

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The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

2 2/5

Step-by-step explanation:

3 * 4/5

~Make the whole number a fraction by adding a 1 as the denominator

3/1 * 4/5

~Multiply both numerators and denominators

12/5 or 2 2/5

Best of Luck!

Answer:

12/5 :)

Step-by-step explanation:

3/1 x 4/5

3x4/1x5

12/1x5

12/5

C is the correct answer.

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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