5. Choose the correct answer.
is a price decrease from an original price of an item.
Retail
Markup
Wholesale
Markdown

Answer:

66.666666666666666666%

Step-by-step explanation:

Answer:

What do you want me to do? It is already solved

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

17 - 10 < x < 17 + 10

7 < x < 27

In terms of AC , then

7 < AC < 27 → B

Answer:

all u need to know is that a side of a triangle is always smaller ( not smaller or equall) than the sum of two other sides of the triangle which in this case means AC is smaller than 27 and the only choice that is meantioning this is B so yea thats it (u cab always eleminate options if u dont know eveythibg about question but u just know some of them are wrong for some reason)

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

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If your business starts with 3% awareness and grows awareness by 5% per week (compounded), how long will it take to reach 75% awareness is b) 66 weeks

Compound growth denotes the procedure of generating profits not only on the investment's principal amount, but also on the accumulated interest.

It is essentially reallocating its earnings where the investor's interest is integrated with the beginning sum, while additional interest is contingent on this amplified amount.

The purposeful act of compounding can yield noteworthy accomplishments over time, since interest earned from pre-existing income inflates drastically in value due to accruing interest outlays, and hence boosts the final outcome substantially and rapidly- resulting in exponential growth of the given input.

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Answer:

V = 628.3185307 units^3

Step-by-step explanation:

Volume of Cone: V = 1/3h(Pi)r^2

V = (1/3)(6)(Pi)(10^2)    >> multiply everything

V = (Pi)(200)

V = 628.3185307 units^3

The surface area of the rectangular prism is 954 inches².

The diagram above is a rectangular prism. The model box is modelled as a rectangular prism.

Therefore,

surface area of a rectangular prism = 2(lw + lh + wh)

Hence,

l = 24 inches

w = 15 inches

h = 3 inches

surface area of a rectangular prism = 2(24 × 15 + 24 × 3 + 15 × 3)

surface area of a rectangular prism = 2(360 + 72 + 45)

surface area of a rectangular prism = 2(477)

surface area of a rectangular prism = 954 inches²

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Answer: d

Step-by-step explanation:

Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower.  The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.

Given:

b = a · tanβ

tan(30°) = √3/3

Step 1:  Solve

b = (30/1) · (√3/3)

b = (30 · √3) / (1 · 3)

b = (30√3) / (3)

b = 10√3

Answer:$13.15/thirteen USD and fifteen cents

Step-by-step explanation: 50.00-36.85= 13.15

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

Answer:

\(\huge\boxed{\sf x = 37}\)

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

OR

x = 37

\(\rule[225]{225}{2}\)

If someone traded 18 bolts of silk in Ancient China, they would be able to obtain 12 horses, assuming the exchange rate remained constant.

In Ancient China, the exchange rate between silk bolts and horses was 3 bolts of silk for 2 horses. Therefore, if we divide 18 bolts of silk by 3, we get the equivalent number of horse pairs that can be obtained:

18 bolts of silk ÷ 3 = 6 horse pairs

However, since we are asked for the number of horses and not horse pairs, we need to multiply the number of horse pairs by 2 to get the total number of horses:

6 horse pairs × 2 horses per pair = 12 horses

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The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Answer:

as long as the equation has no exponents or square roots it is linear

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

its positive

Answer:

-25 ∠ 24

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

10m +n^2 /4

= 10*5 + 4^2 /4

= 50 + 16/4

= 50 + 4

= 54

Answer:

54

Step-by-step explanation:

Answer:A true

Step-by-step explanation:

something you should keep in mind is that all three angles in a triangle always add up to 180 degrees.

so, here, since you know the two other angles, you can find the third.

180 - 106 - 42 will give you the measure of that third angle.

your answer will be 32.

hope i helped, good luck!

Answer:

32

Step-by-step explanation:

as you triangle angle add up to 180 so you add 106 by 42 which gives you 148 then

you take 180 -148 which it will give you =32

The given ratio of men to women working for the company is "to". Since the exact ratio is not provided, let's assume the ratio is "x:y". We are also given that there are "z" women working for the company.

To find the total number of employees, we need to determine the number of men working for the company.

Using the given ratio, we can set up the equation:
x/y = z/1

Cross-multiplying, we have:
x = z * y

Now, to find the total number of employees, we add the number of men and women:
Total employees = number of men + number of women
Total employees = x + z

Substituting the value of x from the equation above, we get:
Total employees = (z * y) + z

Simplifying the expression, we have:
Total employees = z * (y + 1)

In conclusion, the total number of employees in the company is z times the sum of the ratio (y+1).

Note: Since the exact ratio is not given, we cannot provide a numerical value for the total number of employees.

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Answer:

1. 42 cm²

2. 128 cm²

6. 66 cm²

Step-by-step explanation:

In each case, I am using the front and back faces as bases with length and width. The bottom right dimension is the height.

1.

SA = 2(L + W)H + 2LW

SA = 2(3 cm + 2 cm)(3 cm) + 2(3 cm)(2 cm)

SA = 42 cm²

2.

SA = 2(L + W)H + 2LW

SA = 2(6 cm + 4 cm)(4 cm) + 2(6 cm)(4 cm)

SA = 128 cm²

6.

SA = 2(L + W)H + 2LW

SA = 2(3 cm + 3 cm)(4 cm) + 2(3 cm)(3 cm)

SA = 66 cm²

Answer:

1=40 2=252 3=200 4=36

Step-by-step explanation:

I dint do the top two so start on 3

3#= 1

Step-by-step explanation:

1)

5/8 × 39/10

1/8 × 39/2

39/16

2) 1/3 × 9/10

3/10

3) 3/4 × 2/3

1/2

\( \huge \purple{\tt{Answer:}} \)

The probability that you won't pick out a red peanut butter M&M from a bag of M&Ms is 76%.

The peanut butter M&Ms come in various colors and the percentage of these colors in the bag are: brown (14%), yellow (13%), red (24%), blue (20%), orange (16%) and green (13%). We have to find the probability of not choosing a red peanut butter M&M. The probability of not choosing a red peanut butter M&M is the same as choosing any other color except red.Therefore, we'll add the percentages of all other colors except red and subtract them from 100% to find the answer. The sum of all other colors is 76%.We can use this probability formula:Probability of the event = (Number of favourable outcomes) / (Total number of possible outcomes)Probability of not picking a red peanut butter M&M = 76% / 100% = 0.76 = 76/100 = 19/25

Conclusively, the probability of not choosing a red peanut butter M&M from the bag of peanut butter M&Ms is 76%.

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Answer:

45.45 batteries

Step-by-step explanation:

The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

\(E= \frac{1}{11}*500\\E=45.45\ batteries\)

45.45 batteries are expected to be defective.

Answer:

45

Step-by-step explanation:

π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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The function is given as,

The graph representing the above equation is green colour.

The length of the midsegment of the trapezoid is 8 units

Trapezoid

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.

In this problem

The two non-parallel sides of the trapezoid are AD and BC

Step 1

Find the midpoint side of AD

Let

E the midpoint AD

A ( 2,4 ) D (-2,-1)

Find the x-coordinate of the midpoint AD

\(x = \frac{2-2}{2} = 0\)

Find the y-coordinate of the midpoint AD

\(y = \frac{4 - 1}{2} = 1.5\)

the point E is equal to (0, 1.5 )

Step 2

Find the midpoint side of BC

Let

F the midpoint BC

\(B ( 7,4) C ( 9, -1)\)

Find the x-coordinate of the midpoint BC

\(x = \frac{9+2}{7} = 8\)

Find the y-coordinate of the midpoint BC

\(y = \frac{4 - 1}{2} = 1.5\)

The point F is equal to ( 8 , 1.5 )

Step 3

Find the distance EF

Know that

The formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)

we have

E ( 0 ,1.5) F ( 8, 1.5)

substitute the values

\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)

d = 8 units

Therefore

The length of the midsegment of the trapezoid is 8 units

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