PQR is a triangle in which /PQ/ = /PR/. S is a point on /PR/ such that /QS/ = /QR/. If <PQS = 30°. Calculate <QPR. l​

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

Answer:

Pentagon

Step-by-step explanation:

This is my choice. Since a baseball base is a quadrilateral when it has 4 bases, it should pentagon when it has an extra base..

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

Her return is  \(R = 0.10\)

Step-by-step explanation:

From the question we are told that

   The number of shares purchased is \(n = 100 \ shares\)

    The  cost price  of each share is  \(x = \$ 20\)

    The limit order is    \(y = \$ 33\)

    The first  market price for each share is  \(k = \$ 23\)

    The second   market price for each share is \(u = \$ 26\)

     The  third market price for each share is  \(w = \$ 22\)

Generally the  limit order would  not be  executed given that it is higher than the market opening and  closing price.

  Considering Rebecca's initial investment of $ 20 per share, her return is mathematically evaluated as

         \(R = \frac{w + d - x}{x}\)

Here d stands for the dividend but since we are told that the stock did not pay any dividend

        \(R = \frac{22 + 0 - 20}{20}\)

         \(R = 0.10\)

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

Answer:

  a) 30 kangaroos in 2030

  b) decreasing 8% per year

  c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo

Step-by-step explanation:

We assume your equation is supposed to be ...

  P(t) = 76(0.92^t)

__

a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30

In the year 2030, the population of kangaroos in the province is modeled to be 30.

__

b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.

The population is decreasing by 8% each year.

__

c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.

  P(100) = 75(0.92^100) = 76(0.0002392)

  P(100) ≈ 0.0182, about 1/55th of a kangaroo

Answer:

The jet could fly a total of 2,530 miles in 11 hours.

The rate of the jet is 230 miles per hour.

Step-by-step explanation:

Divide: 460/2 = 230

Then multiply the speed per hour by the number of hours: 230*11 = 2,530

Hope this helps :)

Answer:

4500

Step-by-step explanation:

250 x 18 = 4500

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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\( = \frac{4s - 4 + 3 {r}^{2} }{r \: s \: - \: r } \\ \\ \\ \\ hope \: \: it \: \: helps\)

Step-by-step explanation:

\(2 ln(3) = ln(x - 4) \)

For logarithms, this is a property

\( ln(x {}^{n} ) = n ln(x) \)

So we have

\( ln( {3}^{2} ) = ln(x - 4) \)

\( ln(9) = ln(x - 4) \)

If

\( ln(a) = ln(b) \)

a=b

So

\(9 = x - 4\)

\(13 = x\)

Answer:

x=106 degrees

Step-by-step explanation:

The two opposite angles in a parallelogram are always the same and we know 360 degrees in a parallelogram.

x+x+74+74=360.

2x+148=360

2x=212

x=106 degrees

The calculated value of the surface area of the shape is 192 square cm

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

The triangle (see attachment)

The surface area is calculated as

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 24 * 16

Evaluate

Area = 192

Hence, the surface area is 192 sq cm

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Answer:

Where is the question. and answer choices

The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

Given that,

We have two points they are (1,-9) and (-3,3).

We have to find the slope of the line that contains the points.

We know that,

The slope or steepness of a line is determined using the slope formula. It may be used to calculate any line's slope by comparing the change in the y-axis to the change in the x-axis. The slope of a line is the ratio of the change in the line's "y" coordinate to the change in its "x" coordinate.

Slope = y₂-y₁/x₂-x₁

So,

The points (1,-9) and (-3,3).

Slope = 3-(-9)/-3-1 = 3+9/-3-1 = 12/-4 = -3

Therefore, The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

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Answer:

6,690 boxes per hour

Step-by-step explanation:

Given:

Number of boxes fill = 6,021

Time is taken = 0.9 hour

Find:

Number of boxes fill per hour

Computation:

Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)

Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)

Number of boxes fill per hour = 6,690

Answer: 116.985 mm2

Step-by-step explanation:

One line will be formed which will be parallel to the slant edge option third is correct.

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special type of ellipse).

We have a statement:

Which degenerate conic is formed when a double cone is cut through the top by a plane parallel to the slant edge of the cone?

As we can see in the attached picture if the double cone is cut through the top by a plane parallel to the slant edge of the cone one line will be formed which will be parallel to the slant edge.

Thus, one line will be formed which will be parallel to the slant edge option third is correct.

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Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

Answer: True

The errors represent how far off the guess is to the true value. The points on the residual plot must be scattered randomly around 0, in both positive and negative regions. Ideally, the smaller the errors, the better the fit. So we want these errors to be as close to 0 as possible. This is why we try to minimize the sum of the squared error (SSE) when trying to find the linear regression equation. The r and r^2 value are related to this idea as well.

If we don't have randomly scattered errors, and some pattern shows up, then this means a linear equation is not a good fit. Another model such as a quadratic model may be the better option.

As for the "why" this works, try to think of a person throwing darts. Their accuracy isn't perfect so they'll likely miss on the left and right sides of the target. Stuff on the left is negative territory, while stuff on the right is positive. Each side is fairly equal assuming the thrower isn't biased in some way. That's why we have randomly scattered points in both regions. In the case of a regression line, that's where our guess goes while the actual data point is the observed value. The difference between the two is the error.

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

adjacent angle .................

Based on the progressive tax rates, the state income tax owed on an $80,000 per year salary is $4,342.50.

With the progressive tax system, the tax rates increase as the taxable income of the eligible tax payer increases.

Thus, the progressive tax system does not impose a flat rate or amount on the tax payer.  Individuals with lower incomes pay less taxes.

Income Progressive Range ($)   Tax Rate

0 - 3000                                           2%

3001 - 5000                                     3%

5001 - 17,000                                   5%

17,001 and up                                  5.75%

Annual salary = $80,000

State Income Tax:

Income               Tax

$3,000 x 2% = $60

$2,000 x 3% = $60

$12,000 x 5% = $600

$63,000 x 5.75% = $3,622.50

$80,000   =       $4,342.50

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Answer:

I didn't really now but I did this to day