Solve Equations 36+v=15h-94=-6827+j=-189

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Answer:

9.42

Step-by-step explanation:

C= 2 times pie times radius

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

SA = 2(lw + lh + hw), where:

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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Answer:

If x is equal to the sum of the series 1+2+3+4, then the value of x is 10.

The sum of the series 1+2+3+4 is calculated by adding each term in the series:

1 + 2 + 3 + 4 = 10

So, x = 10.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

It is not possible to determine the value of x without knowing the upper limit of the series of numbers being added together. If the series of numbers being added together is finite, then x can be calculated by adding up all of the numbers in the series.

For example, if x is equal to the sum of the first ten positive integers (1+2+3+4+5+6+7+8+9+10), then x would be equal to 55.

To find the sum of the first n positive integers, you can use the formula:

x = (n * (n + 1)) / 2

where n is the number of integers in the series. For example, if n is equal to 4, then the formula would be:

x = (4 * (4 + 1)) / 2 = (4 * 5) / 2 = 20 / 2 = 10

This formula can be used to quickly and easily calculate the sum of the first n positive integers for any value of n.

Answer:

5

Step-by-step explanation:

90% of 50 is 45.

So 50-45

5

Hope this helps

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

Step-by-step explanation:

4). Given functions are,

   \(f(x)=\frac{1}{3x}\)

   For \(x=\frac{1}{12}\)

   \(f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}\)

             \(=\frac{1}{\frac{1}{4}}\)

             \(=1\times\frac{4}{1}\)

             \(=4\)

   \(g(x)=\frac{1}{x^2}\)

   For \(x=\frac{1}{5}\),

   \(g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}\)

           \(=\frac{1}{\frac{1}{25}}\)

           \(=25\)

  \(f(\frac{1}{12})-g(\frac{1}{5})=4-25\)

                       \(=-21\)

5). f(x) = -2x² + 3x - 8

    f(k + 4) = -2(k + 4)² + 3(k + 4) - 8

                = -2(k² + 8k + 16) + 3(k + 4) - 8

                = -2k² - 16k - 32 + 3k + 12 - 8

                = -2k² - 13k - 28

Answer:

6/1

Step-by-step explanation:

Equal to 6

use the numerator

 32

45

x6

Step-by-step explanation: 32

5

x6

9

=

32

45

x6

Answer:

-46

Step-by-step explanation:

Both containers hold the same amount of water.

Given are two solid figures, we need to compare which of them holds more water,

The container one has a base dimension of 3 ft × 180 in with height 90 in. and the second container has base dimension of 3 ft × 180 in with height 90 in.

To compare which container holds more water, we can calculate the volume of each container.

For consistency, let's convert all measurements to a single unit.

1 foot is equal to 12 inches, so the base dimensions of both containers can be expressed as

3 ft × (180 in + 3 ft × 12 in/ft) = 3 ft × 216 in

= 648 in × 648 in.

The volume of a container is calculated by multiplying the base area by the height.

Therefore, the volume of each container can be determined as follows:

Container 1:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Container 2:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Since the base dimensions and the height are identical for both containers, their volumes will also be the same.

Therefore, both containers hold the same amount of water.

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Answer:

f(10) = 110 , f(a) = a² + 10

Step-by-step explanation:

(a)

to evaluate f(10) , substitute x = 10 into f(x)

f(10) = 10² + 10 = 100 + 10 = 110

(b)

to evaluate f(a) , substitute x = a into f(x)

f(a) = a² + 10

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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The functions for this problem are classified as follows:

a) q(x) is an odd function.

b) r(x) is an even function.

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Answer:

  x = 3

Step-by-step explanation:

Your knowledge of excluded values tells you that x=2 and x=4 must be excluded from the solution set, because they make the equation undefined. That only leaves x=3. A quick check shows it is the solution.

  x = 3

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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Answer:

Linear Pair Theorem

Step-by-step explanation:

Linear Pair Theorem:

If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180°.

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

Step-by-step explanation:

Divide the numbers and write what you got in distributive property

Option (B) is correct. Thus, percentage of students with scores between 70 and 130 is 95% .

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation.

It reveals the average deviation of each score from the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that √(5.2/5) = 1.01 will be the standard deviation.

Here:

μ = 100, σ = 15

Thus we have

30 μ - kσ = 70

= 100 – k(15) = 70

= k= 30/15 = 2

Also we have, μ + Ασ: = 130

100+ k(15) = 130

k = 30/15 = 2

Now, the percentage of students with scores between 70 and 130 is same as the percentage of students between μ - 2σ, μ+ 2σ  and by empirical rule the area between μ (+-) 2σ  is 95%. Thus, percentage of students with scores between 70 and 130 is 95%

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The lower of cost or market (LCM) method states that when valuing a company's inventory, it is recorded on the balance sheet at either the historical cost or the market value. Historical cost refers to the cost at which the inventory was purchased.

The lower of cost or market rule states that a business must record the cost of inventory at whichever cost is lower – the original cost or its current market price.

The value of a good can shift over time. LCM holds significance, because if the price at which the inventory can be sold falls below the net realizable value of the item, thus triggering a loss for the company, then the lower of cost or market method can be employed to record the loss.

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The volume of A and B are 28m³ and 16m³ respectively.

For volume of A

The formula for volume of a cuboid is given as:

Volume = length × width × height

Substitute the values

Volume = 7 × 2 × 2

Volume = 28m³

For cuboid B

Volume = length× width × height

Substitute the values

Volume = 4 × 2 × 2

Volume = 16m³

Thus, the volume of A and B are 28m³ and 16m³ respectively.

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Answer:

parallel

Step-by-step explanation:

all the details are in the attached picture.