A student earned a grade of 70% on a math test that had 20 problems. How many problems on this test did the student answer correctly?

The retail price is $354.65.

What is retail price?

The price at which a product's manufacturer ostensibly recommends that a retailer sell it is referred to as the list price, also known as the manufacturer's suggested retail price, recommended retail price, or suggested retail price of a product.

Given: An import/export business marks up imported merchandise by 105%.

A wicker chair imported from Singapore originally costs from the manufacturer $173.

We have to find the retail price.

Retail price = \(= 173 + 173*\frac{105}{100} \\\)

                   = 173 + 181. 65

Retail price  = 354.65

Hence,  Retail Price is $ 354.65.

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Answer:

14

Step-by-step explanation:

3*6=18

18-4=14

Answer:

14

Step-by-step explanation:

I got it right on the test

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

to find x

2x+c=d

2x= d-c

x= (d-c)/2

to find c

2x+c=d

c=d-2x

to find d

2x+c=d

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 \(\rm y = ae^k^x\)

Plug x = 1 and y = 1050

\(\rm 1050 = ae^k\) ...(1)

Plug x = 2 and y = 1103

\(\rm 1103 = ae^2^k\)  ...(2)

Divide equation (2) with (1)

\(\rm e^k = 1.0504\)

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

\(\rm y = (999.6902)e^{0.0491}^x\)

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

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all i know is that it would not be 13.9

Answer:

12in

Step-by-step explanation:

this is the only subject i'm good at in math XDDD.

Each cross-section perpendicular to the x-axis is an equilateral triangle. The volume of the solid is\((sqrt(3)/36) × s^3.\)

To find the volume of a solid whose each cross-section perpendicular to the x-axis is an equilateral triangle, we need to use calculus. Let us denote the area of an equilateral triangle with side length s as A(s).

Hence, the volume of the solid will be∫baf(x)dx, where f(x) is the function that gives the area of the cross-sectional triangle whose base is the x-axis and b and a are the limits of the interval over which we want to find the volume.

As each cross-section is an equilateral triangle, the area of the triangle whose base is the x-axis will be

\(A(f(x)) = (\sqrt{(3)/4)} \times(f(x))^2.\)

We have to find the limits of the interval for which we need to find the volume. As we are finding the volume of a solid, we know that the interval will be in the x-direction. Hence, we need to find the limits of the interval of the x-axis. We can see that the cross-sectional triangles are equilateral triangles.

Hence, they will be similar, and we can set up a proportion to find the value of x for which the triangle has side length s. We know that the height of an equilateral triangle with side length s is \((sqrt(3)/2) × s.\) As the cross-sectional triangles are perpendicular to the x-axis, their height will be equal to the value of x.

Hence, we can set up a proportion to find the value of x. We know that:

\((sqrt(3)/2) × s = x. => s = (2/sqrt(3)) × x.\)

Hence, the limits of the interval will be x = 0 and \(x = (sqrt(3)/2) × s. => x = 0\)and \(x = s/(2 × sqrt(3)).\)

Now, let us find the volume. We know that \(f(x) = (sqrt(3)/4) × x^2.\)

Hence, the volume will be: \(V = ∫(s/(2 × sqrt(3))0(sqrt(3)/4) × x^2dx => V = (sqrt(3)/36) × s^3\)

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The probability that all 3 cards are clubs will be 0.0129

To find the chance that all three cards are clubs,

We can use the following formula:

\(P(\text{all 3 are clubs}) = \frac{\text{number of favorable outcomes}}{\text{number of possible outcomes}}\)

The number of favorable outcomes is the number of ways to choose 3 clubs from the 13 clubs in the deck, which is given by the given binomial coefficient \({13 \choose 3} = 286\)

The number of possible outcomes is the number of ways to choose 3 cards from the deck, which is given by the binomial coefficient \({52 \choose 3} = 22,!100\)

Therefore, the value of the probability that all 3 cards are clubs is:

\(P(\text{all 3 are clubs}) = \frac{\text{number of favorable outcomes}}{\text{number of possible outcomes}} \\= \frac{286}{22,!100} \\\approx 0.0129\)

Rounding to 3 decimal places, the answer is 0.013.

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The complete questions should be:

A standard deck of cards has 52 cards. There are 4 suits clubs, diamonds, hearts, and spades each of which has 13 cards. Suppose you draw 3 cards without replacement. What is the chance that all three are clubs? Round your answer to 3 decimal places

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

The  critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636

The given parameters to help us understand this are

The sample size = 19

The sample mean is 1.4

The sample standard deviation is 0.7

The confidence level = 90% = 0.90

The level of significance  = 0.10

The degree of freedom

Df= n-1

The critical value of t using TINV(0.10.11) is

Critₓ = α/2 d.f

t= (0.5,11) = ±1.76

The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19

Therefore this is equal to 0.76≤μ≤0.04

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Answer:

Let x be one of the numbers

then since they differ by 3... Let (x-3) be the 2nd Number

Their product is 88

(x-3)x = 88

x²-3x =88

x² - 3x - 88=0

Solving The quadratic eqn

x=11 or x = -8.

To check this answer

since the Numbers are x and x-3

x= 11

x-3 = 11 - 3 = 8

(x-3)x = 8x11 = 88.

Or When x=-8

(x-3) = -8 - 3 = -11

x= -8

(x-3)x = -8 x - 11 = 88.

Have a great day!

Answer:

First Set: [11, 8], Second Set: [-8, -11]

Step-by-step explanation:

The first number will be x. The second number is x-3. So now make an equation: x(x-3)=88 because their product equals 88. So now solve.

Solving:

\((x)(x-3)=88\)

\(x^{2}-3x-88=0\)

Now you can factor:

\((x-11)(x+8)=0\)

\(x=11, x=-8\)

Now plug in each number for x for the following equation:

\((x)(x-3)=88\)

\((11)(11-3)=88\)

\(88=88\)

This is true.

\((-8)(-8-3)=88\)

\(88=88\)

This is true.

Both are true. So now you have two sets of answers.

Your welcome!

The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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Answer:

p = 0.42n.

Step-by-step explanation:

To derive an equation, the price per orange will need to be found. Since 6 oranges costed $2.52, simply divide to find the price:

2.52/ 6 = $0.42 per orange.

Therefore, an equation representing the total price for 'n' amount of oranges would be:

p = 0.42n.

The statement "a rectangular table can be detrimental by emphasizing status differences between learners" is true.

Rectangular tables, unlike round or oval tables, can make it difficult for all learners to be equal since rectangular tables often have a head or primary position.

Therefore, the person who is sitting in the primary position can quickly become the central focus of the group, causing other members to feel inferior. This is particularly important for learners in a classroom environment, where creating a sense of equality and encouraging everyone to participate and share ideas is crucial.

Learners might feel isolated or overlooked when seated around a rectangular table, particularly if they are at the end of the table or farther from the primary position. This can have an impact on their self-confidence and participation in group activities, as well as their capacity to learn.

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Answer:

I believe 57

Step-by-step explanation:

7 trees per 3 hours

6 hours = 14 trees

plus the 2 hours which I'm assuming 5 to 4 trees

so you multiply 19 trees per day

19 x 3 = 57 if I'm wrong please correct me :)

Answer: 1250

Step-by-step explanation:

0.25x1000=250

+ 1km/1000 meters

1000+250=1250

Answer:

2500m

Step-by-step explanation:

1.25km is 1250m. 1250 multipled by 2 is 2500m.

Answer:

⁴√16³ˣ

Step-by-step explanation:

16³/⁴ ˣ

The above can be expressed as follow:

16³/⁴ ˣ = 16³ˣ/⁴

Recall:

Aᵐ/ⁿ = ⁿ√Aᵐ

Therefore,

16³ˣ/⁴ = ⁴√16³ˣ

Thus, 16³/⁴ ˣ is equivalent to ⁴√16³ˣ

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Applying the definition of complementary angles, the value of x in the figure given is: 12

Complementary angles are angles that give 90 degrees when added up.

(3x + 6) + 48 = 90 [definition of complementary angles]

Solve for x

3x + 54 = 90

3x = 90 - 54

3x = 36

x = 36/3

x = 12

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Question:

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer: 13 dollars per hour

Step-by-step explanation:

The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x2, y2)

Point b = (2, 26) = (x1, y1)

Calculating the gradient or slope :

Rate of change = (y2 - y1) / (x2 - x1)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

= 13 dollars per hour

Answer:

I think that the answer is D

Answer:

4:3.

Step-by-step explanation:

Number of boys = 12 and number girls = 16.

Ratio girls to boys = 16:12

= 4:3.

a) The common radius of the reversed curve, the distance between the parallel tangents, and the stationing of the new PT can vary depending on the specific measurements and layout of the compound curve.

b) Measure the distance between the two outer tangent lines. This distance represents the distance between the parallel tangents of the reversed curve.

c)  The stationing of the new PT can be calculated by subtracting the distance between X and Y from the stationing of point A.

To replace the compound curve with a simple curve that is tangent to the three tangent lines and forms a reversed curve with parallel tangents and equal radii, you can follow these steps:
a. Common radius of the reversed curve:
1. Draw the compound curve and the three tangent lines.
2. Find the point of tangency between the compound curve and the middle tangent line. Let's call this point A.
3. Draw a line perpendicular to the middle tangent line at point A. This line represents the centerline of the reversed curve.
4. Measure the distance between point A and the middle tangent line. This distance is equal to the common radius of the reversed curve.

b. Distance between the parallel tangents:
1. Measure the distance between the two outer tangent lines. This distance represents the distance between the parallel tangents of the reversed curve.

c. Stationing of the new PT:
1. Determine the stationing of the point of tangency between the compound curve and the middle tangent line. Let's call this stationing value X.
2. Determine the stationing of the point where the reversed curve starts. Let's call this stationing value Y.
3. The stationing of the new PT (point of tangency between the reversed curve and the middle tangent line) can be calculated by subtracting the distance between X and Y from the stationing of point A.
Remember, the common radius of the reversed curve, the distance between the parallel tangents, and the stationing of the new PT can vary depending on the specific measurements and layout of the compound curve.

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Answer:

They just have to go, 'cause they don't know wack

Step-by-step explanation:

The domain of the function is (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. It is the set of values that can be substituted into the function to obtain a valid output value.

In this case, we have:

f(x) = 4/|x| - 2

The absolute value of x is always non-negative, so |x| > 0. Thus, we can rewrite the function as:

f(x) = 4/(|x| - 2)

To find the domain of this function, we need to identify any values of x that make the denominator zero, since division by zero is undefined. In this case, we have:

|x| - 2 = 0

|x| = 2

So, the function is undefined for x = ±2. This means that the domain of the function is all real numbers except x = ±2. In interval notation, we can write:

Domain: (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).

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Answer:

Δ SHD ≅ Δ STD (By SAS)

Step-by-step explanation:

Given:

SD⊥HT

SH=ST

Prove:

Δ SHD ≅ Δ STD

Computation:

SH=ST (Given)

SD = SD (Common)

∠SHD = ∠SDT (right angle) (SD⊥HT)

So,

Δ SHD ≅ Δ STD (By SAS)

The proof of \(\Delta SHD\cong \Delta STD\) is given below.

Given, SD is perpendicular to HT.

We have to prove \(\Delta SHD\cong \Delta STD\).

Now, In \(\Delta SHD\ and\ \Delta STD\),

\(\angle SDH=\angle SDT\) ( since SD perpendicular to HT, so both will be 90 ).

\(SH=ST\) ( given in question ).

\(SD= SD\) ( common side in both the triangle ).

So, by Right angle hypotenuse congruence rule,

\(\Delta SHD\cong \Delta STD\).

Hence the \(\Delta SHD\cong \Delta STD\) proved above.

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Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

Answer:

187

Step-by-step explanation: