Kyndal wants to buy a lamp that
originally cost $82, but went on sale for
20% off. The store is having an
additional sale that is 40% off the sale
price. What is the price of the lamp?

Answer:

B. The function shown on the graph has a smaller rate of change but a higher starting point

Step-by-step explanation:

Question options obtained from a similar question are;

A. The function shown on the graph has a greater rate of change and a higher starting point

B. The function shown on the graph has a smaller rate of change but a higher starting point

C. The function shown on the graph has a greater rate of change but a lower starting point

The function shown on the graph has a smaller rate of change but a higher starting point

Explanation;

The given function with which the graph is compared is y = 4·x + 2

From the given function, we have;

The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4

When y = 0, 4·x + 2 = 0,

∴ x = -2/4 = -0.5

The y-intercept is given when x = 0

∴ The y-intercept, y = 4 × 0 + 2 = 2

The starting point of the function, is (0, 2)

From the graph, we have;

The y-intercept = (0, 4)

Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)

The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)

The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3

Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4

When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.

The option that summarizes a t-test that was significant and associated with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

In this option, the t-value is 2.95, indicating a significant result. The p-value is less than .05, indicating that the result is statistically significant at the chosen significance level. Furthermore, the effect size is large, with a Cohen's d value of .82. A large effect size suggests a substantial difference between the groups being compared.

The summary presented in option d is as follows:

t(12) = 2.95, p < .05, d = .82

- t(12) represents the t-value and the degrees of freedom (df) associated with the t-test. In this case, the t-value is 2.95, indicating the magnitude of the difference between the groups being compared. The degrees of freedom is 12, which is determined by the sample size and the design of the study.

- p < .05 indicates the p-value, which is a measure of the probability of obtaining the observed results by chance alone. In this case, the p-value is less than .05, indicating that the difference observed is statistically significant at the .05 significance level.

- d = .82 represents the effect size, specifically Cohen's d. Effect size measures the magnitude of the difference between groups or the strength of the relationship between variables.

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The radius of the sector, considering the angle measure and the area of the circle, is given as follows:

3 meters.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

The entire circle has an angle measure of 360º, hence for an angle measure of 45º, the equation is given as follows:

A = 0.125πr²

(as 45/360 = 0.125).

The area is of 4 m², hence the radius is obtained as follows:

4 = 0.125πr²

r = sqrt(4/(0.125π))

r = 3 meters.

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Answer:

4, they are not related

Step-by-step explanation:

x - y = 2 and y = x + 1

x - y = 2

subtract x

-y = 2 - x

divide by the negative

y = -2 + x or y = x - 2

they are not related

Answer:

The Answer Is A) they are parallel

Step-by-step explanation: i took the test and it was right i hope i helped!

3,200 + 560 + 16 √

(400 × 8) + (70 × 8) + (2 × 8) √

(400 × 8) × (70 × 8) × (2 × 8) X

3,776 √

3,200 × 560 × 16 √

(400 + 70 + 2) × 8 √

(400 × 70 × 2) × 8 X

28,672,000 X

\( \)

Answer:

\(750cm/hour\)

Step-by-step explanation:

Sidney's speed: \(180m/24hours\)

Sidney's average speed per hour: \(180m\div24/24hours\div24 = 7.5m/hour\)

Because \(1m=100cm\)

Sidney's average speed in cm per hour = \(750cm/hour\)

Hope this helps :)

Answer:

239 mm^2

Step-by-step explanation:

We will split the figure into 3 pieces

The bottom rectangle

A = l*w = 7*3 = 21 mm^2

The top rectangle

A = l*w = 5*10 = 50 mm^2

The right triangle

A = 1/2 b*h = 1/2 ( 16) * (16+5) = 8 * (21) = 168 mm^2

The total area is 21+50+168 =239

Answer: the area of the circle is 2827.43cm²

Step-by-step explanation:

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

Answer:

17.

Step-by-step explanation:

Multiply rate by 2

8 1/2 * 2 = 17

Answer:

8 x 3 = 24. 24/5 is greater than 4 so they must order 5 pizzas.

Answer:

Step-by-step explanation:

The visitor might be exactly 54 inches or above 54 inches.

To find the total cost of renting a car from Countrywide Auto or Smart Auto, we need to use the system of equations. The total cost is equal when the number of miles driven is \(800\), and the total cost at this point is $\($198\).

System of equations in which \(y\) represents the total cost and \(x\) represents the number of miles driven. For Countrywide Auto, the equation would be \(y = 0.21x + 30\), and for Smart Auto, it would be \(y = 0.18x + 54.\)

To compare the total cost between the two rental car companies, we need to set the two equations equal to each other and solve for x. This will give us the number of miles at which the total cost of renting from Countrywide Auto is equal to the total cost of renting from Smart Auto. \(0.21x + 30 = 0.18x + 54 0.03x = 24 x = 800\)

Therefore, the total cost of renting from Countrywide Auto is equal to the total cost of renting from Smart Auto when the number of miles driven is \(800\).

To find the total cost at this point, we can substitute \(x = 800\) into either of the equations.

For Countrywide auto,\(y = 0.21(800) + 30 =\) $\(198\), and for Smart auto, \(y = 0.18(800) + 54 =\) $\(198\).

In conclusion, the system of equations \(y = 0.21x + 30\) and \(y = 0.18x + 54\) can be used to compare the total cost of renting a car from Countrywide Auto and Smart Auto. The total cost is equal when the number of miles driven is \(800\), and the total cost at this point is $\(198\).

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89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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Answer:

Measure of arc TSU = 201°

Step-by-step explanation:

For the inscribed circle of  triangle XYZ, we have;

∠XZY = 21°

Segment TZ and segment  UZ are tangent to circle R

Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)

Length UR = Length TR = Radius of circle R

∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency

∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)

∠XZY = ∠RZT + ∠RZU (Angle summation)

21° = ∠RZT + ∠RZU  = 2×∠RZU (Transitive property)

∠RZU = 21°/2 = 10.5° = ∠RZT

∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)

arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)

∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)

Measure of arc TSU = 201°.

Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:2

Step-by-step explanation:

named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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Answer:

180

Step-by-step explanation:

(a/2) + (360-a)/2 = (360-a+a)/2 = 360/2 = 180

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

From the question, we have the following expression that can be used in our computation:

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Answer:

The dimensions of the field is 185 yards by 48 yards

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the field.

Let the width of the field be x yards

From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width

So mathematically, the length of the field will be ;

(4x -7) yards

The perimeter of the field mathematically is:

2(l + b)

Thus;

2(x + 4x- 7) = 466

2(5x -7) = 466

divide both side by 2

5x - 7 = 466/2

5x - 7 = 233

5x = 233 + 7

5x = 240

x = 240/5

x = 48 yards

Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards

Answer:

first blank= 2

second blank= 3

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

Answer:

A) gradient is 6/5

B) gradient is 1/10

C) gradient is 4/5

Answer:

75

Step-by-step explanation:

x = 5

Input 5 into the f(x) equation.

f(5) = 3(5)²

f(5) = 3 × 25

f(5) = 75

Hope that helps.

Answer:

75 is the correct answer for above questions.

The employee will be earning $10.00 per hour after approximately 3.7 years, and the doubling time, which is the time it takes for the employee's hourly wage to double, is approximately 7.5 years.

The new employee starts with an hourly wage of $7.08 and receives a 4% raise each year. We need to find the amount of time it takes for the employee's hourly wage to reach $10.00. To do this, we can set up the equation $7.08(1.04)^t = $10.00, where t represents the number of years. To solve for t, we divide both sides of the equation by $7.08 and take the logarithm of both sides. This gives us t = log($10.00/$7.08) / log(1.04). Using a calculator, we find that t is approximately 3.7 years. Now let's determine the doubling time, which is the amount of time it takes for the employee's hourly wage to double from its initial value. In this case, we want to find when the hourly wage reaches $14.16 ($7.08 * 2). We can set up the equation $7.08(1.04)^t = $14.16 and solve for t using similar steps as before. Dividing both sides by $7.08 and taking the logarithm gives us t = log($14.16/$7.08) / log(1.04). Using a calculator, we find that t is approximately 7.5 years.

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Answer:

hope you can understand