find the simple interest on each amount 1500 at 11% for two years

If the equation has infinitely many solutions for x, the value of b that results in infinitely many solutions for x is b = 5/2.

To determine the value of b in the equation a(x + b) = 4x + 10, we can analyze the conditions that would result in infinitely many solutions for x.

First, let's simplify the equation:

a(x + b) = 4x + 10

Expanding the left side of the equation

ax + ab = 4x + 10

Now, let's rearrange the equation to isolate x:

ax - 4x = 10 - ab

Factor out x on the left side:

x(a - 4) = 10 - ab

For the equation to have infinitely many solutions, the coefficient of x (a - 4) must be zero, because any value of x would satisfy the equation.

Therefore, we have:

a - 4 = 0

Solving for a:

a = 4

Substituting the value of a into the equation:

4 - 4 = 0

0 = 0

The equation holds true, indicating that a = 4 satisfies the condition for infinitely many solutions. Now, we can find the value of b.

Substituting a = 4 into the original equation:

4(x + b) = 4x + 10

Expanding:

4x + 4b = 4x + 10

Since the x terms cancel out, we are left with:

4b = 10

Dividing both sides by 4:

b = 10/4

Simplifying:

b = 5/2

Therefore, the value of b that results in infinitely many solutions for x is b = 5/2.

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Answer:

  2 1/4

Step-by-step explanation:

An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.

Based on the weight of the plastic to the weight of the paper, the ratio of plastic to paper in the simplest form is 6 : 1

To find the ratio of plastic to paper, there is a need to convert the weights such that they have the same units.

Assuming we convert the plastics to grams, the number of grams of plastic would be:

= 3 kg x 1,000 grams per kg

= 3,000 grams

The ratio then would be:

3,000 grams of plastic   : 500 grams of paper

To get to the simplest form, divide both sides by 500:

3,000 / 500 : 500 / 500

6 : 1

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The angle be 5x - 12 and 3x - 8 then the value of x  = 25.

The angle created by the two rays or arms at a shared vertex is known as the angle measure in geometry.

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

A protractor is a precision tool for measuring angles. Angles are measured in degrees, therefore the term "degree measure." Because one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

Let the two angle be 5x - 12 and 3x - 8

5x + 3x - 12 - 8 = 180

Add similar elements: 5x + 3x = 8x

8x - 12 - 8 = 180

Subtract the numbers: -12 - 8 = -20

8x - 20 = 180

Move 20 to the right side

8x = 200

Divide both sides by 8

= 8x / 8 = 200 / 8

x  = 25

Therefore, the value of x  = 25.

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13% of 11900 films are action films =1547 films.

Answer:

\({ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films\)

Answer:

X=1, y=6

Step-by-step explanation:

Let's solve your system by substitution.

−8x−2y=−20;x+2y=13

Rewrite equations:

x+2y=13;−8x−2y=−20

Step: Solvex+2y=13for x:

x+2y=13

x+2y+−2y=13+−2y(Add -2y to both sides)

x=−2y+13

Step: Substitute−2y+13forxin−8x−2y=−20:

−8x−2y=−20

−8(−2y+13)−2y=−20

14y−104=−20(Simplify both sides of the equation)

14y−104+104=−20+104(Add 104 to both sides)

14y=84

14y

14

=

84

14

(Divide both sides by 14)

y=6

Step: Substitute6foryinx=−2y+13:

x=−2y+13

x=(−2)(6)+13

x=1(Simplify both sides of the equation)

Answer:

x=1 and y=6

Hope this helped!

Answer:

the answer is in the image above

Answer:

A triangular prism has 5 faces (3 rectangular and 2 triangular), 9 vertices and 6 edges.

Answer:

5

Step-by-step explanation:

Answer: We are given Quadrilateral LMNO is reflected over a line.

Also given Quadrilateral LMNO is congruent Quadrilateral CDAB, that is

LMNO ≅ CDAB.

Note: Reflection over a line represents mirror images of the figures.

From the given image we can see

LM is congruent to CD.

ON is congruent to BA.

LO is congruent to BC.

MN is congruent to AD.

Therefore,  DC segment corresponds to ML.

Hope i helped you out!

Answer:

The correct answer is A.) 45 + 70x < 250.

y = mx + b

She started at 45 miles (+ 45).

She has to go at least 250 miles (< 250).

She is driving at a constant, unchanging speed of 70 mph (70x).

Answer:

Clare is faster

Step-by-step explanation:

They are both traveling the same distance but Clare travelled it in less time which means she is going faster.

Answer: Clare

Step-by-step explanation: If it the same mile, just look whoever’s time is the least is the fastest.

Answer:

The slope is 2!

Stay safe,

PumpkinSpice1♥

\(~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\underset{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 6i-4j\\ 2i-6j \end{cases}\implies \stackrel{\qquad a~\hfill b\qquad }{\begin{array}{llll} < 6~~,~~-4 > \\ < 2~~,~~-6 > \end{array}}\)

\(\stackrel{\textit{\Large dot product}}{ < 6~~,~~-4 > \cdot < 2~~,~~-6 > \implies (6\cdot 2)+(-4\cdot -6)}\implies 12+24\implies 36 \\\\\\ \stackrel{\textit{\Large magnitudes}}{|| < 6~~,~~-4 > ||\implies \sqrt{6^2+(-4)^2}\implies \sqrt{52}} \\\\\\ || < 2~~,~~-6 > ||\implies \sqrt{2^2+(-6)^2}\implies \sqrt{40} \\\\[-0.35em] ~\dotfill\)

\(\measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right)\implies \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right) \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{2080}} \right)\implies \measuredangle \theta \approx 37.9^o\)

Answer:

45.5

Step-by-step explanation:

To find the mean is to find the average number of the data set.

In order to do this you add up all of the numbers, then divide it by the value how many numbers are in the set.

40+58+37+23+66+42+35+37+51+42+56+37+61+52= 637/14=45.5

The mean housing cost for the given cities is $20.42.

The standard deviation of housing costs for the given cities is 1.91.

The mean is calculated by summing up all the values in the dataset and dividing the sum by the total number of values. In this case, we have the following data for housing costs in different cities:

Comparative City Housing Cost

NY $16.00

Coors $20.00

Los Angeles $22.05

Santa Barbara $18.70

Oceanside $22.90

Porterville $20.50

New York $21.40

To calculate the mean, we add up all the values:

Sum = $16.00 + $20.00 + $22.05 + $18.70 + $22.90 + $20.50 + $21.40 = $141.55

Next, we divide the sum by the total number of values, which is 7 in this case:

Mean = $141.55 / 7 = $20.42

Therefore, the mean housing cost for the given cities is $20.42.

The standard deviation is a measure of the spread or variability in the dataset. It tells us how much the individual values deviate from the mean.

The formula for calculating the standard deviation is:

σ = sqrt[(Σ(x - μ)^2) / N]

Where:

σ is the standard deviation

Σ represents the sum of

x represents each individual value

μ is the mean

N is the total number of values

Using the given data, we substitute the values into the formula:

σ = sqrt[((16 - 20.42)^2 + (20 - 20.42)^2 + (22.05 - 20.42)^2 + (18.70 - 20.42)^2 + (22.90 - 20.42)^2 + (20.50 - 20.42)^2 + (21.40 - 20.42)^2) / 7]

Simplifying the expression within the square root:

σ = sqrt[(5.2364 + 0.0016 + 0.0264 + 2.7164 + 0.0524 + 0.0064 + 0.0064) / 7]

σ = sqrt[8.0456 / 7]

σ = sqrt(1.1494)

σ ≈ 1.07

Therefore, the standard deviation of housing costs for the given cities is approximately 1.07.

These calculations provide a measure of the average and spread of the housing costs across the different cities.

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There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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1. True: If Spain has an absolute productivity advantage in producing shoes, then it will have a lower opportunity cost for producing shoes than the rest of the world, allowing them to sell them at a lower price, which would encourage exporting.

2. True: The Ricardian Model explains how nations can gain by specializing in the production of goods that they are relatively more efficient in producing and then trading. It can be used to explain how workers in the same sector can be differently affected due to international trade. 3. Uncertain: The extent to which a specific or mobile factor of production benefits from trade (or trade liberalization) depends on several factors, and cannot be generalized.

4. False: Suppose that Home has a relative abundance of L compared with Foreign, then it means that K is scarce relative to L in Home. Thus, K owners in Home will benefit from free trade policies as it will lead to an increase in the demand for K.

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The value of x in the parallel line is as follows:

1. x = 50

2. x = 55

3. 102 - 2v

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles, linear angles etc.

Therefore, let's use the angle relationship to find the value of x as follows:

1.

m∠1 = m∠8(alternate interior angles)

2x + 25 = x + 75

2x - x = 75 - 25

x = 50

2.

m∠2 = m∠6(corresponding angles)

3x - 10 = 2x + 45

3x - 2x = 45 + 10

x = 55

3.

m∠3 + m∠8 = 180(same side interior angles)

4v - 31 + 2x + 7 = 180

2x = 180 + 31 - 7 - 4v

2x = 204 - 4v

x = 102 - 2v

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Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

Answer:

Choice 3 and 5

Step-by-step explanation:

Answer: A,B,E

Step-by-step explanation:

Just trust me

Answer:

Side is equal to \((z+6)\) feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to \(90\)°

Area of a square = side × side

Area of a square \(=z^2+12z+36\)

Here, write \(12z=6z+6z\)

Therefore,

Area of a square \(=z^2+6z+6z+36\)

\(=z(z+6)+6(z+6)\)

\(=(z+6)^2\) square feet

So,

side × side \(=(z+6)^2\)

This implies side is equal to \((z+6)\) feet.

Step-by-step explanation:

A³B = 4T

A³=4T/B

A = cbrt 4T/B. or

³√(4T/B)

hope this helps.

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Kanene needs to use a total of 54 square feet of wrapping paper to cover the cube.

To find the surface area of the cube, we can use the formula SA = 6s², where s is the length of one side of the cube. Since all sides of a cube are equal, we can use the given information to determine s.

Let's say the length of one side of the cube is 3 feet. Then, using the formula, we can calculate the surface area:

SA = 6s²
SA = 6(3²)
SA = 6(9)
SA = 54

Therefore, the cube has a surface area of 54 square feet. This means that Kanene needs 54 square feet of wrapping paper to cover the entire cube.

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The Taylor polynomial approximation of \(\(\cos(0.03)\)\) using n=3 is \(\(p_3(0.03) = 1 - \frac{0.03^2}{2} + \frac{0.03^4}{24}\)\).

The absolute error in the approximation can be computed by finding the difference between the actual value of \(\(\cos(0.03)\)\) and the value obtained from the Taylor polynomial approximation. Using a calculator to determine the exact value, we have \(\(\cos(0.03) \approx 0.999550\)\).

Substituting x = 0.03 into the Taylor polynomial, we get:

\(\(p_3(0.03) = 1 - \frac{0.03^2}{2} + \frac{0.03^4}{24}\) \\\\\(= 1 - \frac{0.0009}{2} + \frac{0.00000009}{24}\) \\\\\(= 1 - 0.00045 + 0.00000000375\) \\\\\(= 0.99954925\)\)

To compute the absolute error, we subtract the approximation obtained from the actual value:

\(Absolute \,error \(= |0.999550 - 0.99954925|\) \\\\\(= 0.00000075\)\)

Therefore, the absolute error in the approximation of \(\(\cos(0.03)\)\) using a Taylor polynomial with n=3 is 0.00000075.

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In this problem, and in general statistics, z represents the standard score of the data.

This standard score is the number of standard deviations that there are above or below a sample.

We have the mean: 173.38 cm

and the standard deviation: 8.78 cm

We first determined the standard score for the tallest living man:

We obtain the difference between this sample and the mean:

Then we calculate how many standard deviations are in this difference:

Then the standard score for the tallest living man is 9.87

We need to do the same to the shortest living man:

Remember that if the sample is minor than the mean we take the absolute value.

Then the standard score:

Then the standard score for the shortest living man is 7.38

The height that was more extreme is the height that has a standard score major, then we can conclude:

The standard score for the tallest living man is 9.87

The standard score for the shortest living man is 7.38

And the height that was more extreme is the tallest living man's height

Answer:

False.

Step-by-step explanation:

18 ÷ 3 + 12 ÷ 2 = 9 × 1

6 + 6 = 9

12 ≠ 9

=》 Hence, equation is false.

Remember the PEDMAS rule while solving this question.

First parentheses, then exponent, division, multiplication, addition & subtraction.

_________

Hope this helps

Answer: NO