What is 10 to the power of 18

1/(x+1)(x-2) is the simplest form of the expression  (x+2)/(4x²+5x+1) .(4x+1)/(x²-4)

The given expression is x+2/4x²+5x+1 .(4x+1)/(x²-4)

Let us factorize the denominators.

x+2/4x²+4x+x+1 .(4x+1)/(x+2)(x-2)

x+2/4x(x+1)+(x+1).(4x+1)/(x+2)(x-2)

The factored form of denominator:

(x+2)/(4x+1)(x+1) . (4x+1)/(x+2)(x-2)

Cancel out the common terms in numerator and denominator.

1/(x+1)(x-2)

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Answer:

BD is a perpendicular bisector of AC

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.

The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.

The next step is to branch from the starting point and show the possible results of the first event. This includes taking out  the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.

After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.

The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.

The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome

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we have

3x^4 - 5x^3 + 9x + 14

Find the zeros of the function

REmember that the zeros of the function are the values of x when the value of the function is equal to zero

so

equate to zero the given expression

3x^4 - 5x^3 + 9x + 14=0

using a graphing tool

see the attached figure

The function has no real solutions

therefore

It's not possible to express the width of the expression as (x + 2)

Answer:

dot plot a visual display in which each piece of data is represented by a dot above a number line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

3x+9+8x-25=28

11x-16=28

x=44/11

x=4

So, GE=3x+9=3*11+9=42

Answer:

  ∠2 = ∠4 = ∠6 = ∠8 = 114°

  ∠1 = ∠3 = ∠5 = ∠7 = 66°

Step-by-step explanation:

You want to know the measures of all of the angles where transversal t crosses parallel lines m and n. ∠4 is given as 114°.

Where a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. The obtuse and acute angles form linear pairs, so are supplementary.

In the given figure, the acute angles are numbered using odd numbers, and the obtuse angles are numbered using even numbers.

∠2 = ∠4 = ∠6 = ∠8 = 114°

∠1 = ∠3 = ∠5 = ∠7 = 180° -114° = 66°

Answer:

November 1st and 2nd

5. pan de Muerto

6. ofrenda

7. Mexico

Step-by-step explanation:

sorry i am Hispanic but i don't know the others :(.

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer: Number 2

Step-by-step explanation: yes

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

Answer:

1/4

Step-by-step explanation:

12/48=.25

.25 in fraction = 1/4

therefore the coupon is for 25% or 1/4 off

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

d

Step-by-step explanation:

metric system is most commonly used and will likely be the easiest to work with

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

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Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

x + 3y = -15

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-6, -3) so we have:

-3 = (-6)a + b      (1)

The line is also through the point (-9, -2) so we have:

-2 = (-9)a + b.       (2)

From (1) and (2) we get a equals -1/3, b equals -5. Then:

\(y=-\frac{1}{3} x - 5\)

<=> \(x + 3y=-15\)

The second way:

Let A(-6, -3) and B(-9, -2), then AB = (-3, 1).

=> The normal vector of this line is n = (1, 3).

The line that is through the points A(-6, -3) and B(-9, -2), and has the normal vector n=(1, 3) has the equation:

\(1(x+6) +3(y+3)=0\\x+3y +15=0\\x+3y=-15\)

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

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Answer:

14

Step-by-step explanation:

Assuming you meant to find MN.

Given that MN is parallel to the bases of the given trapezoid, and is connected to the midpoints of both sides, we can infer that MN is the midsegment of the given trapezoid.

The length of a midsegment is given by half the sum of the bases.
Therefore, MN = (18 + 10)/2 = 28/2 = 14

Step-by-step explanation:

there are many possibilities, 4 of them really easy.

the endpoint of a diameter is simply a point on the circle arc.

the easy options are to assume that the center of the circle is on the x- or the y-axis.

let's go with the x-axis (we only need 2 circles : one with the center left, and one with the center right of the origin).

we know the radius is 3.

so, the center of either circle is 3 units away from the origin.

so, center of circle1 = (-3, 0), center of circle2 = (3, 0).

the equation for a circle is

(x - h)² + (y - k)² = r²

r is the radius, (h, k) is the center point.

equation for circle1 :

(x - -3)² + (y - 0)² = 3²

(x + 3)² + y² = 9

equation for circle2 :

(x - 3)² + (y - 0)² = 3²

(x - 3)² + y² = 9

you see ?

the other 2 easy options would be to put the centers on the y-axis : (0, -3) and (0, 3)

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

Answer:

A

Step-by-step explanation:

To find the product of -4 and the vector [8, -1, -5, 9], you need to multiply each element of the vector by -4. Here's the calculation:

-4 * 8 = -32

-4 * -1 = 4

-4 * -5 = 20

-4 * 9 = -36

Therefore, the product of -4 and [8, -1, -5, 9] is:

[-32, 4, 20, -36]

So the correct answer is A: [-32, 4, 20, -36].

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

Below

Step-by-step explanation:

12:10 PM -   ( 1 + 1 ) hr = 10:10 AM    then subtract the 40 min to get 9:30 AM

Answer:

b.× = 14 16

Step-by-step explanation:

#stay safe

hope it helps

The probability that a randomly selected graduate of this state college system does not have a STEM degree and does not identify as female is 0.219

According to the question,

Let event of female graduates in the college be W and Graduates with STEM be "X"

Given , Percentage of female graduates  :52.5%

P(W) = 0.522

Percentage of  graduates with STEM degree = 37.7%

P(X)  = 0.377

Percentage of female graduating with STEM degree = 11.8%

P(W∩X) = 0.118

We have to calculate,

Probability that random selected graduate doesn't have STEM degree and not a female : P( male with not a degree of STEM)

=> 1 - P(W ∪ X)

=> 1 - P(W) - P(X) + P(W∩X)

=> 1 - 0.522 - 0.377 + 0.118

=> 0.219

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