what are the solutions to the equation |2x+8|-14?

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/28/20 Time:  9:19 am CST

Answer:

-12

Explanation:

(-3)4 = -12

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris  

Answer:

-12

Step-by-step explanation:

( -3 ) 4

= -12

hope this helps

Geometric series is convergent if the |r|<1 where r is the common ratio.

Let Sn=∑ni=0(−3/4)i then

Sn=(−3/4)n+1−1(−3/4)−1

Now take n→∞ then

Sn→0−1(−3/4)−1=4/7

because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is

lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.

Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.

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1. the answer is the vector [-11 -9] and 2. The answer is the vector [-30 -24].

First, let's recall the definition of eigenvectors and eigenvalues. An eigenvector of a matrix A is a non-zero vector v such that when A is multiplied by v, the result is a scalar multiple of v. That scalar multiple is called the eigenvalue corresponding to that eigenvector. In other words, if v is an eigenvector of A with eigenvalue λ, then Av = λv.
Now, let's use this definition to answer your questions.
1. A(v1+v2) = Av1 + Av2 = λ1v1 + λ2v2. Substituting in the given values of λ1, λ2, v1, and v2, we get:
A(v1+v2) = 3[-5 -4] + (-1)[-4 -3]
= [-15 -12] + [4 3]
= [-11 -9]
So the answer is the vector [-11 -9].
2. A(-2v1) = -2Av1 = -2λ1v1. Substituting in the given value of λ1 and v1, we get:
A(-2v1) = -2(3)[-5 -4]
= [-30 -24]
So the answer is the vector [-30 -24].

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1.the answer is the vector [-11  -9] and  2.The answer is the vector [-30  -24].

Since \(v_{1}\) and \(v_{2}\) are eigenvectors of matrix A, we know that:
A \(v_{1}\) = λ1 \(v_{1}\)
A \(v_{2}\) = λ2 \(v_{2}\)
Let's use this information to solve the given problems:
1. A( \(v_{1}\) + \(v_{2}\) ) = A \(v_{1}\)  + A \(v_{2}\) = λ1 \(v_{1}\) + λ2 \(v_{2}\)
Substituting the values of λ1, \(v_{1}\) , λ2, \(v_{2}\) and  that were given:

A( \(v_{1}\) + \(v_{2}\) ) = 3[-5  -4] + (-1)[-4  -3]
= [-15  -12] + [4 3] = [-11  -9]
So the answer is the vector [-11  -9].
2. A(-2\(v_{1}\) ) = -2 A \(v_{1}\)
Using the given equation for A \(v_{1}\) , we get:
A(-2\(v_{1}\) ) = -2 λ1 \(v_{1}\)
Substituting the values of λ1 and \(v_{1}\)  that were given:

A(-2\(v_{1}\)) = -2(3)[-5  -4] = [30  24]
So the answer is the vector [30  24].

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To construct a 3x3 nonzero matrix A such that the vector [2 4 1 2 1 3 5] is a solution of the equation Ax = 0, we can choose the matrix A = [1 -1 2; -2 1 -3; 0 0 0].

Let's consider the equation Ax = d, where A is a 3x3 matrix, x is the vector [2 4 1], and d is the zero vector [0 0 0]. We want to find a matrix A that satisfies this equation.

We can write the equation as a system of linear equations:

2a + 4b + c = 0

2d + 1e + 3f = 0

5g = 0

To satisfy the equation, we need to choose values for the variables a, b, c, d, e, f, and g that make all the equations true.

For example, we can choose:

a = 1, b = -1, c = 2, d = -2, e = 1, f = -3, g = 0

Substituting these values into the equations, we get:

2(1) + 4(-1) + 2 = 0

2(-2) + 1(1) + 3(-3) = 0

5(0) = 0

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Answer:

77

Step-by-step explanation:

11- 6(x – 8)

f(-3)

11-6(-3-8)

11+18+48

=77

1. The task is to write a C source code that computes the solution of the given wave equation for a given pair (t, x).2. The solution is expressed using the provided formula and involves evaluating integrals and calculating the area of a triangle.3. The code should be compiled and run to verify its correctness, and the known antiderivative of g(x) allows for an exact computation of the double integral.

To complete the task, a C source code needs to be written to compute the solution of the given wave equation for a given pair (t, x). The solution is expressed using a formula that involves evaluating integrals and calculating the area of a triangle. The known antiderivative of g(x) allows for an exact computation of the double integral. Therefore, the code should include a function to compute the area of a triangle given its three vertices.

Once the code is written, it should be compiled and run to ensure its correctness. By comparing the results obtained from the code with the expected values, any errors or issues in the implementation can be identified and addressed. The code should accurately calculate the solution of the wave equation for any given pair (t, x), providing a reliable tool for further analysis and calculations.

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Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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Answer: z=16

Step-by-step explanation:

Angles on a straight line add up to 180.

As AB is a straight line we can use that to help us find z.

So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).

Then you would do 180-164=16

So z=16

Hope this helps :)

Answer:

392

Step-by-step explanation:

(10 x 25) = 250

250 + 54 + 100 - 12 = 392

Hope it helped! :)

Step-by-step explanation:

2 1/2 + 1 1/16

Adding whole number parts and fraction parts together,

(2+1) + (1/2 + 1/16)

= 3 + (1*8/2*8 + 1/16)

= 3 + (8/16 + 1/16)

= 3 + 9/16

= 3 and 9/16

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

Answer:

£756

Step-by-step explanation:

To fill the tank completely, Mr. Patel needed:

500 liters initially + (total capacity of the tank - 500 liters) = 500 + (tank capacity - 500) = tank capacity

To find the tank capacity, we need to know how many liters of oil Mr. Patel bought initially:

Total cost of oil bought initially = 900

Cost per liter of oil = £0.60

Number of liters of oil bought initially = 900 / 0.60 = 1500

Therefore, the tank capacity is:

500 + (tank capacity - 500) = 1500

Tank capacity - 500 = 1000

Tank capacity = 1500 liters

At the beginning of February, Mr. Patel had 300 liters of oil left in his tank, so he needed to buy:

1500 - 300 = 1200 liters of oil

The cost of oil had increased by 5%, so the cost per liter was:

£0.60 + (£0.60 x 0.05) = £0.63

Therefore, the total cost of the oil in February was:

1200 x £0.63 = £756

Answer:

the slope is -1/4

Step-by-step explanation:

the change in y over the change in x from point (-2,-2) to (2,-3) is how to find the slope

y1-y2/x1-x2 = m

-2--3/-2-2 = -1/4

Answer:

Correct answer D. y = 4x2 + 5x – 6

Step-by-step explanation:

just took the test

Answer:

h = \(\frac{S-2\pi r^2}{2\pi r}\)

Step-by-step explanation:

S = 2πr² + 2πrh ( subtract 2πr² from both sides )

S - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )

\(\frac{S-2\pi r^2}{2\pi r}\) = h

1) 47

2) 6/11

3) 5x + 13

4) 8x - 3

5) x = 98

6) x = 3

7)

a) Slope = 4

b) The slope-intercept form is y = 4x - 17.

c) Distance = √272

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

(15 - 7)² - 3.4  - 5

= 8² - 12 - 5

= 64 - 17

= 47

2)

6(8 - 4) / 6.8 - 4

= 6 x 4 / (48 - 4)

= 24/44

= 6/11

3)

Number = x

Expression = 5x + 13

4)

Number = x

Expression = 8x - 3

5)

x/7 - 9 = 5

x/7 = 5 + 9

x/7 = 14

x = 14 x 7

x = 98

6)

8(2x - 5) + 3x = 4x + 5

16x - 40 + 3x = 4x + 5

19x - 4x = 5 + 40

15x = 45

x = 3

7)

A = (3, -5)

B = (7, 11)

a)

Slope = (11 + 5)/(7 - 3) = 16/4 = 4

b)

m = 4

(3, -5) = (x, y)

-5 = 4 x 3 + c

-5 = 12 + c

c = -5 - 12

c = -17

So,

y = 4x - 17

The slope intercept form is y = 4x - 17.

c)

Distance between A and B.

= √(7 - 3²) + (11 + 5)²

= √(16 + 256)

= √272

Thus,

Each statement is given above.

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Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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Answer:

$10,004  ??

Step-by-step explanation:

y = the amount of profit

x= Number of widget.

We know that,

The maximum value of a function  only when the value of

Here a= -15 and b=1039

Plug them into x=-(b)/2(a)

y=(-15)(-1039/-30)^2+1039(-1039/-30)-7988

y=10004.016  round up to nearest dollar

y=$10,004

Answer:

Step-by-step explanation:

my answer is  3 1/9 gallons

Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.

No. of gallons required to spray 2 lawns = x

So, first of all we should divide 3 1/2 with 2 1/4

now this division we should equalise with  x/3

(3 1/2 ÷ 2 1/4)  = x ÷ 2

after doing this we have got the value of x = 28/9  or 3 1/9

hence, 3 1/9 gallons is required to spray 2  lawns.

So . this question is related to capacity.

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Answer:

B

Step-by-step explanation:

time = 8 years

principle = 6000

Money earned = 3000

Money earned= p * r * t

3000 = 6000 * r/100 * 8

3000 = 48000 * r/100

3000 = 480 * r

3000 / 480 = r

6.25 % = r

I need a little more information is there anymore that you could give me?

The probability of rolling a 4 on the first toss of a standard six-sided die and a 6 on the second toss is 1/36 or approximately 0.0278.

Each toss of a standard six-sided die is an independent event with six possible outcomes (numbers 1 to 6). To find the probability of rolling a 4 on the first toss and a 6 on the second toss, we need to consider the probabilities of each event separately and then multiply them together.

The probability of rolling a 4 on the first toss is 1/6 since there is one favorable outcome (rolling a 4) out of six possible outcomes. Similarly, the probability of rolling a 6 on the second toss is also 1/6.

To find the probability of both events occurring, we multiply the individual probabilities together: (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a 4 on the first toss of a standard six-sided die and a 6 on the second toss is 1/36 or approximately 0.0278.

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Answer:

Step-by-step explanation:

Perimeter 165 cm

1st.   65 cm < 2s

3rd.  10 cm < s

The 2nd side is twice than the first side but 10cm longer than the

3rd side, so it'll be

2nd.   2s + 10

a triangle has a perimeter of 165 cm. the first side is 65cm less than twice the second side. the third side is 10cm less than the second side. write and solve an equation to find the length of each side of the triangle

FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.

Let a = first side

Let b = second side

Let c = third side

NOW, we can turn the words into equations:

"a triangle has a perimeter of 165 cm."

a + b + c = 165

"the first side is 65cm less than twice the second side."

a = 2b - 65

"the third side is 10cm less than the second side."

c = b - 10

Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]

If we could get this to have only one variable, we could solve it. Substitution to the rescue!

a + b + c = 165 (rewrote equation from above)

(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)

See how that works? Let's solve it.

2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)

4b - 75 = 165 (combined like terms)

4b = 240 (added 75 to both sides)

b = 60 (divided both sides by 4)

We found the second side! We can find the first and third sides using those equations from above:

a = 2b - 65

a = 2*60 - 65

a = 120 - 65

a = 55

c = b - 10

c = 60 - 10

c = 50

All done.

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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There are no values of c that satisfy the conclusion of Rolle's Theorem. Thus, the answer is N.

To apply Rolle's Theorem, we need to check if the function satisfies the following conditions:

f(x) is continuous on the closed interval [a, b].

f(x) is differentiable on the open interval (a, b).

f(a) = f(b).

The function f(x) = x² - 9x + 2 is a polynomial, so it is continuous and differentiable everywhere. We need to check the third condition.

f(0) = (0)² - 9(0) + 2 = 2

f(9) = (9)² - 9(9) + 2 = -61

Since f(0) is not equal to f(9), we can't apply Rolle's Theorem to this function on the interval [0, 9].

Therefore, there are no values of c that satisfy the conclusion of Rolle's Theorem. Thus, the answer is N.

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The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

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The three steps of decimal place value are the decimal, decimal point, and place value.

The decimal is a number that is expressed using place value, with each digit representing a different power of 10. Decimals are used to represent parts of a whole or a fraction, and can be expressed as a fraction or a percentage.

The decimal point is a symbol used to separate the whole number part from the decimal part of a number. It is placed after the ones place in a whole number, and the position of the decimal point determines the value of the digits to its left and right.

The place value is the value of a digit in a number based on its position from the decimal point.

Each digit to the left of the decimal point represents a power of 10 that is greater than the previous digit, while each digit to the right of the decimal point represents a power of 10 that is smaller than the previous digit.

For example, in the number 123.45, the decimal is the number 5, the decimal point is the symbol between 3 and 4, and the place value of the digits are as follows:

1 is in the hundreds place

2 is in the tens place

3 is in the ones place

4 is in the tenths place

5 is in the hundredths place

Understanding decimal place value is important for performing mathematical operations with decimals, such as addition, subtraction, multiplication, and division.

By knowing the value of each digit in a decimal number, we can correctly place the decimal point and obtain the correct result.

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