When a negative base is raised to the power of an even number, the answer is always​

Answer:

x = -15/4

Step-by-step explanation:

1 - 4/3x = 1/2(-x + 7)

~Simplify

1 - 4/3x = -1/2x + 7/2

~Subtract 1 from both sides

-4/3x = -1/2x + 5/2

~Add 1/2x to both sides

-2/3x = 5/2

~Multiply -3/2 to both sids

x = -15/4

Best of Luck~

The missing parts in the figure are

d. x = 42

e. x = 53

f. x = 119

To find x we use the principle that opposite angles of a parallelogram are equal

d.

(3x + 12) = 138

3x = 138 - 12

3x = 126

x = 42

e

2x + 21 = 127

2x = 127 - 21

2x = 106

x = 53

f.

This is a trapezoid, the principle used here is trapezoid contains two pairs of consecutive interior angles that are supplementary

61 + x = 180

x = 180 - 61

x = 119

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The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer: 0.95 of 700 is 6.65.

Step-by-step explanation:

0.95% of 700

700 x 0.95/100

6.65

Please give brainliest !!

Answer:

You forgot to put this:

9

7

6

8

The answer is 7

I took the quiz

interval notation of x<2

x=1

(a) The probability that the king of hearts is visible among the top eight cards of a shuffled deck is 1/13.

(b) When a second deck is shuffled and its top eight cards are turned over, the probability that a visible card from the first deck matches a visible card from the second deck depends on the number of visible cards from the first deck and the number of matching cards in the second deck.

(a) In a standard deck of 52 cards, there is only one king of hearts. When the top eight cards are turned over, the probability of the king of hearts being among those eight cards is 1/13 since there are 13 hearts in total.

(b) The probability that a visible card from the first deck matches a visible card from the second deck depends on the number of visible cards from the first deck and the number of matching cards in the second deck.

If all eight cards from the first deck are visible, there are eight chances for a match out of the remaining 44 cards in the second deck, resulting in a probability of 8/44.

If fewer than eight cards from the first deck are visible, the number of chances for a match decreases accordingly. For example, if only five cards are visible from the first deck, there are five chances for a match out of the remaining 44 cards in the second deck, resulting in a probability of 5/44.

The specific probability of a match between visible cards from the first and second decks depends on the actual cards turned over and the matching possibilities.

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Hello there!

4a-2b

4(6)-2(3)=24-6=18

So the answer is \(18.\)

Hope this helps you!

~Just a joyful teen

\(SilentNature\)

Answer:

$30 :)

Step-by-step explanation:

Answer:

the answer is 120

Step-by-step explanation:

Using probability of union set,

the probability that person you choose is either a woman or has never been married is 0.66..

We have given that

If X be random variable that an American adult selected.

Assume that

A : selected adult is a women

B : selected adult has never married

Probability that you choose a woman, P(A) = 0.52

Probability that the person you choose has never been married , P(B) = 0.25

Probability that you choose a woman who has never been married , P(A∩B) = 0.11

we have to calculate probability that person you choose is either a woman or has never been married, P(A∪B)

Using the formula,

P(A∪B ) = P(A) + P(B) - P(A∩B)

pluging all known values in above formula we get

=> P(A∪B ) = 0.52 + 0.25 - 0.11

=> P(A∪B) = 0.77 - 0.11 = 0.66

Hence, the required probability is 0.66..

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Answer:

Your answer : x = 9

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Angela will have cell phone service from tower 2 only , Option C is the answer.

An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.

The two inequalities given are

(x+5)² + (y+2)² ≤ 144

(x-8)² +(y-7)²  ≤100

The inequalities are plotted on the graph

and the location of Angels's Friends ( 4 , 8) is also plotted

If this lies in the area of the Inequalities she will have signal.

At Angela's friends house she will have the signal of Tower 2 only.

Therefore Option C is the answer.

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Answer:

ok i cant tell if the dot is a decimal or a spot, im thinking its just a spot

so the answer would be 8:2     4:1       2:0.5

Step-by-step explanation:

if it is a decimal

the first box would be 8:0.2

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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Answer:

area is 804.2477193

The differentiable function the value of f(4) is(d: 7.9541).

To find the value of f(4), integrate the given derivative of f(x). Let's integrate √(x²) + 2cos(x)/3 with respect to x.

∫√(x²) + 2cos(x)/3 dx

The integral of √(x²) simplified as follows:

∫√(x²) dx = ∫|x| dx = (1/2)(x |x|) + C

integrate 2cos(x)/3:

∫2cos(x)/3 dx = (2/3) ∫cos(x) dx = (2/3) sin(x) + C

∫(√(x²) + 2cos(x)/3) dx = (1/2)(x |x|) + (2/3) sin(x) + C

that f(1) = 2. So, this information to find the constant C.

f(1) = (1/2)(1 |1|) + (2/3) sin(1) + C

2 = (1/2)(1) + (2/3) sin(1) + C

2 = 1/2 + (2/3) sin(1) + C

C = 2 - 1/2 - (2/3) sin(1)

the constant C, f(4):

f(4) = (1/2)(4 |4|) + (2/3) sin(4) + C

f(4) = 2(4) + (2/3) sin(4) + (2 - 1/2 - (2/3) sin(1))

f(4) = 8 + (2/3) sin(4) + (2 - 1/2 - (2/3) sin(1))

To determine the exact value of f(4), the values of sin(4) and sin(1). sin(4) = -0.7568 and sin(1) =0.8415.

Substituting these values,

f(4) = 8 + (2/3)(-0.7568) + (2 - 1/2 - (2/3)(0.8415))

f(4) =8 - 1.511 + 1.666 - 0.5609

f(4) = 8 - 0.0459

f(4) = 7.9541

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Complete question:

let f be a differentiable function such that f(1)=2 and f′(x)=√x2 2cosx 3. what is the value of f(4) ?

a. 10.790

b. 8.790

c. 12.996

d. 7.9541.

e. -6.79

Answer:

1/3=33 1/3%

Step-by-step explanation:

Since there is 3 balls.

The required expression that includes the numbers 2,4, and 5, has a value of 50 is  5(4 + 2) + 5(4)

Expressions are mathematical statements having two or more variables and connected by mathematical signs. The mathematical signs can be +, - and *

According to the question, we are to form an expression with 2, 4, and 5 that will give 50.

Connecting the integers using the given signs, we will have:

5(4 + 2) + 5(4)

Checking:

Expand the expression using distributive law:

= 5(4) + 5(2) + 5(4)

= 20 + 10 + 20

= 30 + 20

= 50

This that one of the arrangement in parenthesis is 5(4 + 2) + 5(4)

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Answer:

The answer would be 2000

Step-by-step explanation:

Answer:

3.5 pounds

Step-by-step explanation:

7/8 / 1/4 =7/8*4=7/2=3.5

When x = 4 s, the position of the particle is approximately -14.22 meters, the velocity is approximately -163.68 m/s, and the acceleration is approximately -50.568 \(m/s^2\).

To determine the position of the particle when x = 4 s, we need to substitute x = 4 into the equation and solve for t:

\(4 = 1.5t^4 - 30t^2 + 5t + 10\)

Rearranging and simplifying, we get a quadratic equation:

\(1.5t^4 - 30t^2 + 5t + 6 = 0\)

Using a graphing calculator or computer software, we can find that the solution is approximately t = 2.184 seconds.

To find the position of the particle at this time, we can substitute t = 2.184 into the equation:

\(x = 1.5(2.184)^4 - 30(2.184)^2 + 5(2.184) + 10\)

x ≈ -14.22 meters

Therefore, the position of the particle when x = 4 s is approximately -14.22 meters.

To find the velocity of the particle at this time, we need to differentiate the equation with respect to time:

\(\frac{dx}{dt} = 6t^3 - 60t + 5\)

Substituting t = 2.184, we get:

dx/dt ≈ -163.68 meters/second

Therefore, the velocity of the particle when x = 4 s is approximately -163.68 m/s.

To find the acceleration of the particle at this time, we need to differentiate the velocity equation with respect to time:

\(\frac{d^2x}{dt^2} = 18t^2 - 60\)

Substituting t = 2.184, we get:

\(\frac{d^2x}{dt^2}\) ≈ \(-50.568\) \(m/s^2\)

Therefore, the acceleration of the particle when x = 4 s is approximately -50.568 \(m/s^2\).

In summary, when x = 4 s, the position of the particle is approximately -14.22 meters, the velocity is approximately -163.68 m/s, and the acceleration is approximately -50.568 \(m/s^2\).

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The complete question is :

The movement of a particle is defined by the equation \(x = 1.5t^4 - 30t^2 + 5t + 10\) , where x and t are expressed in meters and seconds, respectively. Determine the position, velocity, and acceleration of the particle when x = 4 s.

The slope of line r is -1/2

The equation of line q is given as

\(-2x + y =1\)

Make y the subject

\(y =1 + 2x\)

Rewrite the equation, as follows:

\(y =2x + 1\)

The slope of the above equation is:

\(m = 2\)

Line r is perpendicular to line q.

So, the slope (m2) of line r is calculated as:

\(m_2 = -\frac 1m\)

This gives

\(m_2 = -\frac 12\)

Hence, the slope of line r is -1/2

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Answer:

birr 40,000

Step-by-step explanation:

Given that :

Shares owns by a man in a business =  \($\frac{3}{4}$\)

Fraction of the shares sold by the man = \($\frac{1}{3}$\)

Amount for which the shares were sold = 10,000 birr

Let the value of the business of the ma be = x

Therefore, according to the question,

\($\frac{1}{3} \text{ of } \left(\frac{3}{4}x\right) = 10000$\)

\($\Rightarrow \frac{1}{4}x = 10000$\)

\($\Rightarrow x = 4\times10000$\)

       = 40,000

Therefore, the value of the share is birr 40,000

Answer:

(a+1)(a+1) or (a+1)^2

Step-by-step explanation:

a^2+2a+1=(a+1)(a+1)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer What does 1.5 mean on a number?

If a half = 0.5 and one =1, than one and a half is 1+0.5=1.5. So, 1.5 = one and a half.

Step-by-step explanation:

Answer:

the expression would be y=75x+100

Step-by-step explanation:

so what u would do is have multiples of 75. the worker gets paid 75 per hour, so in the chart u do 75, 150, so on. the flat fee is 100 dollars, this the y intercept in the equation. the 75x is the slope. so for the question, it asks how much it costs for 5 hours. here u would do 5 times 75. hope this helps :)

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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The length would be expressed as 1×10²⁰⁰⁰⁰mm.
===================================================================Hope this helped!
- bucketsarecool

The solar panels installed on the university parking garage require approximately 10,952 hours of operation per year to break even, based on the given parameters and a maximum operational capacity of 12,321 hours per year.


To calculate the number of hours per year the solar panels need to operate to break even, we need to consider the present value of operating the solar panels for 1 hour per year.
The initial investment cost for installing the solar panels is $2 million. We’ll calculate the present value of this cost over 20 years using a discount rate of 20%.
PV = Initial Cost / (1 + Discount Rate)^Years
PV = $2,000,000 / (1 + 0.20)^20
PV = $2,000,000 / (1.20)^20
PV = $2,000,000 / 6.191736
PV = $323,035.53
The present value of operating the solar panels for 1 hour per year is $323,035.53.
Now, we’ll calculate the revenue generated by operating the solar panels for 1 hour per year. The capacity of the solar panels is 300 kW, and the electricity can be purchased at $0.10 per kWh. Therefore, the revenue generated per hour is:
Revenue per hour = Capacity (kW) * Price per kWh
Revenue per hour = 300 kW * $0.10/kWh
Revenue per hour = $30
To break even, the revenue generated per hour should be equal to the present value of the installation cost:
Revenue per hour = PV
$30 = $323,035.53
Now, we can calculate the number of hours per year the solar panels need to operate to break even:
Number of hours per year = PV / Revenue per hour
Number of hours per year = $323,035.53 / $30
Number of hours per year ≈ 10,767.85
Since the solar panels can operate only for a maximum of 12,321 hours per year, the project will break even at approximately 10,768 hours per year.
Among the given options, the closest number to 10,768 is 10,952.15, so the answer is 10,952.15.

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