In triangle ABC, A = 38° and B = C. Find B.
A)71
B)26
C)142

Answer:

y = -4/3x + 12

Step-by-step explanation:

y - y1 = m (x - x1)

the y1 and x1 are where your coordinates go. The m is the slope.

So now we just plug it in.

y - (-4) = -4/3 (x - 12)

we can clean it up some more to make it into the y = mx + b format.

y + 4 = -4/3x - (-4/3)12

y + 4 = -4/3x + 16

y = -4/3x + 12

Answer:

22

Step-by-step explanation:

Simplify the following:

3 (2 + 7) - 5

Hint: | Evaluate 2 + 7.

2 + 7 = 9:

3×9 - 5

Hint: | Multiply 3 and 9 together.

3×9 = 27:

27 - 5

Hint: | Subtract 5 from 27.

| 2 | 7

- | | 5

| 2 | 2:

Answer: 22

Answer:22

Step-by-step explanation:

add the numbers in the  parathieses  so 2+7 and you get 9 so then your equation is 3(9)-5 or 3×9-5

then you multiply 3×9 and get 27 so then subtract 27 -5 and get 22 as your answer

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

employee's hours worked per week

Step-by-step explanation:

check answer

Answer:

In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Answer:

14.

Step-by-step explanation:

1. RS=RU+US, - US is unknown yet;

2. the property of bisector is:

RU/US=RT/ST;

3. according to the property above:

US=RU*ST/RT; US=12*6/9=8;

4. RS=RU+US; ⇒ RS=6+8=14.

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Answer:

the expected population after 3 years is 863.7009

Step-by-step explanation:

The computation of the expected population after 3 years is shown below

P = P_0 × e^rt

where,

r = 21% = 0.21

t = 3 years

P_0 = 460

Now place these values to the above formula

P = 460 × exp(0.21 × 3)

= 863.7009

hence, the expected population after 3 years is 863.7009

We simply applied the above formula so that the correct value could come

And, the same is to be considered

The minimum growth rate you would require from this stock is 11.75%.

To determine the minimum growth rate you would require from this stock, you can use the dividend discount model. The dividend discount model is a method of valuing a stock based on the present value of its expected future dividends. In this case, the formula would be:

Expected Return = Dividend Yield + Growth Rate

where:

Dividend Yield = Annual Dividend / Stock Price

In this case, the annual dividend is $2.25 and the stock price is $53, so:

Dividend Yield = $2.25 / $53 = 0.0425 or 4.25%

You require a return of 16%, so:

Expected Return = 0.16

Substituting the values we have:

0.16 = 0.0425 + Growth Rate

Solving for Growth Rate:

Growth Rate = 0.16 - 0.0425 = 0.1175 or 11.75%

Therefore, the minimum growth rate you would require from this stock is 11.75%.

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Answer:

D

Step-by-step explanation:

a right angle is 90° so if it's complementary, both angles have add up to 90° and 70° + 20° = 90°

Answer:

maybe pemdas or choose c lol

Answer:x= 0.5,−3

Step-by-step explanation:

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Based on probability calculations, approximately 7% of the people in the large group should obtain counts in the range of 20 to 30 aces when rolling a die 150 times.

When rolling a fair six-sided die, the probability of getting an ace (a single dot) is 1/6. Therefore, the probability of not getting an ace in a single roll is 5/6. To calculate the probability of obtaining a specific number of aces in 150 rolls, we can use the binomial distribution. In this case, the number of trials is 150, and the probability of success (getting an ace) in each trial is 1/6.

Using statistical calculations, we can determine the probability of obtaining counts between 20 and 30 aces. This involves summing the probabilities of getting 20, 21, 22, ..., 30 aces individually. This range of counts corresponds to a relatively small portion of the entire distribution. By calculating these probabilities and summing them, we find that the percentage of people who should obtain counts in the range 20 to 30 is approximately 7% of the total group size.

It's important to note that these calculations assume a fair six-sided die and independent rolls. The actual outcomes may vary due to chance, but on average, about 7% of the individuals in the large group would be expected to have counts in the specified range.

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Applying properties of exponents, the quotient is given as follows:

\(2\sqrt[3]{3} - \sqrt[3]{18}\)

The expression is given by:

\(\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}}\)

The 3 can be inserted into the cube root, as follows:

\(\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}} = \frac{6 - \sqrt[3]{6 \times 3³}}{\sqrt[3]{9}}\)

Applying the subtraction, we have that the expression is:

\(\frac{6}{\sqrt[3]{9}} - \frac{\sqrt[3]{162}}{\sqrt[3]{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{\frac{162}{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{18}\)

The denominator can be simplified as follows:

\(\sqrt[3]{9} = \sqrt[3]{3^2} = 3^{\frac{2}{3}}\)

Then:

\(\frac{6}{\sqrt[3]{9}} = \frac{2 \times 3}{3^{\frac{2}{3}}} = 2 \times 3^{1 - \frac{2}{3}} = 2 \times 3^{\frac{1}{3}} = 2\sqrt[3]{3}\)

Hence the quotient is given by:

\(2\sqrt[3]{3} - \sqrt[3]{18}\)

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The expected value or the average number of times a customer visits the store, given the probability distribution of X, is 1.4.

To find the expected value of X, we need to multiply each possible value of X by its corresponding probability and then sum up the products. In this case, we have:

E(X) = (0 x 0.1) + (1 x 0.4) + (2 x 0.4) + (3 x 0.1)

= 0 + 0.4 + 0.8 + 0.3

= 1.4

Therefore, the expected value or the average number of times a customer visits the store in a one week period is 1.4. This means that if we were to observe a large number of customers over a long period of time, we would expect the average number of visits per customer to be approximately 1.4.

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

Explanation:

If it is possible to draw a single vertical line through more than one point on the blue graph, then that graph is not a function. We consider it failing the vertical line test. Such a thing happens in the middle of the top row (graph 2). A vertical line intersects the sideways parabola at more than one point.

Recall a function is when any given input leads to exactly one output. We can't have the input x = 4 lead to both y = 1 and y = -3 at the same time for instance.

Graph 4 is another instance where we don't have a function for similar reasoning. This graph fails the vertical line test. So does graph 6.

The other graphs (1, 3, and 5) all pass the vertical line test since it's not possible to draw a single vertical line to intersect through more than one  blue point.

The probability of getting exactly 10 successes in 12 independent trials, given the probability of success in each trial is 0.7, is 0.0159 or approximately 1.59%.

Now, let's consider a binomial probability experiment with the given parameters: n= 12​, p= 0.7​, x= 10. Here, n represents the total number of independent trials, p represents the probability of success in each trial, and x represents the number of successful trials that we are interested in calculating the probability for.

Using the given values, we can substitute them into the formula to find the probability of 10 successes in 12 independent trials:

P(10) = \((^{12}C_{10}) \times 0.7^{10} \times (1-0.7)^{12-10}\)

P(10) = (66) x 0.02824 x 0.0081

P(10) = 0.0159 or approximately 1.59%

This means that if we were to repeat this experiment many times, we would expect to get exactly 10 successes in about 1.59% of the trials.

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The average number of pairs of consecutive integers in a randomly selected subset of 5 distinct integers chosen from the set is approximately 1.032.

To find the average number of pairs of consecutive integers in a randomly selected subset of 5 distinct integers chosen from a set, we can consider the possible scenarios.

1. If all 5 integers are consecutive: In this case, there is only one pair of consecutive integers.
2. If 4 integers are consecutive and the fifth one is not: There are 4 possible subsets with this arrangement, and each subset will have 2 pairs of consecutive integers.
3. If 3 integers are consecutive and the other 2 are not: There are 10 possible subsets with this arrangement, and each subset will have 2 pairs of consecutive integers.
4. If 2 integers are consecutive and the other 3 are not: There are 10 possible subsets with this arrangement, and each subset will have 1 pair of consecutive integers.
5. If 1 integer is consecutive and the other 4 are not: There are 5 possible subsets with this arrangement, and each subset will have 1 pair of consecutive integers.
6. If no integers are consecutive: There is only one possible subset with this arrangement, and it will have no pairs of consecutive integers.

Now, let's calculate the average:
(1 * 1 + 4 * 2 + 10 * 2 + 10 * 1 + 5 * 1 + 1 * 0) / (1 + 4 + 10 + 10 + 5 + 1) = 32 / 31 ≈ 1.032

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Two triangles are said to be congruent if their sides (S) and angles (A) are the same. SAS, ASA, SSS, and RHS serve as the triangle's congruence criteria. A triangle's congruency is not determined by SSA.

What does a math congruent mean?

Congruent refers to objects that are precisely the same size and shape. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

                   Draw two circles with the same radius, for instance, then cut them out and stack them.

How are three congruent?

An equilateral triangle is one that has all three of its sides be in line with one another. We add a slash mark to the sides that are congruent. An equilateral triangle's angles are 60°.

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The Reynolds number is 900, the frictional dissipation per meter per kg flowing is 8, and the pressure drop per meter is 78480 Pa/m.

Density of the polymer, ρ = 1000 kg/m³

Dynamic viscosity of the polymer, μ = 0.01 kg/m s

Diameter of the pipe, D = 0.03 m

Average velocity of the polymer, um = 0.3 m/s

Reynolds number is defined as the ratio of inertial forces of a fluid to its viscous forces.

Reynolds number can be calculated as follows:

Re = ρuD/μ

Where:

ρ = 1000 kg/m³

u = 0.3 m/s

D = 0.03 m

μ = 0.01 kg/m s

Substituting these values in the formula:

Re = (1000 × 0.3 × 0.03) / 0.01

Re = 900

Frictional dissipation per meter per kg flowing is defined as the force per unit area required to maintain a given velocity gradient in a fluid over a fixed distance.

Frictional dissipation can be calculated as follows:

hf = (4fLρu²) / (2gD)

Where:

f = friction factor

L = length

u = velocity of the fluid in the pipe

D = diameter of the pipe

g = acceleration due to gravity

Substituting these values in the formula:

hf = (4fLρu²) / (2gD)

hf = (4 × 0.0268 × 1 × 0.3² × 1000) / (2 × 9.81 × 0.03)

hf = 8.00

Pressure drop per meter is defined as the loss of pressure when fluid flows through a pipe.

Pressure drop can be calculated as follows:

ΔP = hfρg

Where:

hf = frictional head loss per unit length

ρ = density of the fluid

g = acceleration due to gravity

Substituting these values in the formula:

ΔP = hfρg

ΔP = 8.00 × 1000 × 9.81

ΔP = 78480 Pa/m

Therefore, the Reynolds number is 900, the frictional dissipation per meter per kg flowing is 8, and the pressure drop per meter is 78480 Pa/m.

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Answer:

Width is 11 inches

Step-by-step explanation:

I am not sure what the question is.  I think you might be looking for the width length.  The perimeter is the distance around a rectangle.  If the whole distance around is 48.  We have 2 lengths and 2 widths.  They tell us that the length is 13.  We have two lengths so the lengths add up to 26.  We can subtract that from 48 and that leaves us with 22 (48-26)  This is the total for the 2 widths.  Since the 2 widths are the same length we divide that number by 2 to get 11.

11 + 11+ 13 + 13 = 48

Answer:

x = - 9/10

workings

2/3 x = - 3/5

multiply by 3/2 on both sides

x = - 9/10

Answer:

2/3x=-3/5

x=-3/5*3/2

x=-8/10

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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The expression -2.2f + 0.8f - 11 - 8 when simplified is -1.4f - 19

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

-2.2f+0.8f-11-8=

Express properly

So, we have

-2.2f + 0.8f - 11 - 8

When the like terms are collected, we have

-2.2f + 0.8f - 11 - 8 = -2.2f + 0.8f - 11 - 8

When the like terms are evaluated, we have

-2.2f + 0.8f - 11 - 8 = -1.4f - 19

Hence, the expression when simplified is -1.4f - 19

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Answer: 450 rest 100

Step-by-step explanation:

So, we need to calculate this division 100.000/222 and get the rest.

Well, 222 enters in 1000 by 4 times.

222 times 4 is 888

So, 100.000/222 = 4

       888-

We subtract 888 from 1000.

That will be 112

100.000/222 = 4

888

  112

Now, get the next 0 down next to 112

100.000/222 = 4

888

 1120

222 get in 1120 by 5 times.

5 times 222 = 1110

divide 1120 by 1110

100.000/222 = 45

888

 1120

 1110

That will be 10

100.000/222 = 45

888

 1120

 ==10

Get the next zero down

100.000/222 = 45

888

 1120

 ==100

222 gets in 100 by 0 times.

100.000/222 = 450

888

 1120

 ==100

         0

100 subtracted by 0 is 100

100.000/222 = 450

888

 1120

 ==100

         0

     100

The rest is 100 and the result is 450

Now, you can do the verification:

222 time 450 is 99,900.

If you add the rest to 99,900 it will be 100.000. So the result is good

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

Answer:yes,no,yes,no i think

Step-by-step explanation:

Answer$550.32

Step-by-step explanation: 7day = $320

commission = 8% of 2879

=230.32

 total earnings = 320 + 230.32

= 550.32