Determine the value of x in this diagram where lines a and b are parallel.

Answer:

Applying the product rule of exponents, (a²c)³ = .

What is the Product Rule of Exponents?

When multiplying two numbers with the same base, their powers/exponents would be added.

For example, .

Given:

(a²c)³

Therefore:

(a²c)³ = (a²c)(a²c)(a²c)

(a²c)³ =

(a²c)³ =

Therefore, applying the product rule of exponents, (a²c)³ = .

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Step-by-step explanation:

The quadratic formula is

ax² + bx + c = 0

the roots are -6 , 4

(x +6) (x -4 )

x² - 4x + 6x -24

= x² +2x -24

Answer:

24.2

Step-by-step explanation:

Answer:

D. 10/50

Step-by-step explanation:

3/5 = 60%

12/20 = 60%

15/25 = 60%

10/50 = 20%

3/5 = 60 % ,equal

12/20 = 60% , equal

15/25 = 60% , equal

10/50 = 20% , NOT EQUAL

Answer:

See images

Step-by-step explanation:

Either one should work.

An isosceles triangle is a triangle where two angles are the same & the third angle is the supplement of their sum.

If you wanted the matching angles to be 70 & 70, your final angle would be 40 because:

70 + 70 = 140

180 - 140 = 40

If you wanted the supplement angle to be 70, your matching angles would be 55 & 55 because:

180 - 70 = 110

110 / 2 = 55

Hope this helped. :)

Step-by-step explanation:

Looks like you want all equations converted into slope-intercept form.

Slope intercept form of a line

Now let's convert

#1

\(\\ \sf\longmapsto 2x+y=2\)

\(\\ \sf\longmapsto y=-2x+2\)

#2

\(\\ \sf\longmapsto x+2y=4\)

\(\\ \sf\longmapsto 2y=-x+4\)

\(\\ \sf\longmapsto y=\dfrac{-1}{2}x+2\)

#3

\(\\ \sf\longmapsto 2x-y=2\)

\(\\ \sf\longmapsto y=2x-2\)

#4

\(\\ \sf\longmapsto x-2y=4\)

\(\\ \sf\longmapsto 2y=x-4\)

\(\\ \sf\longmapsto y=1/2x-2\)

Answer:

21600

Step-by-step explanation:

24x10x90=

240x90=

21600

Answer:

A = 3x^2

B = -6x

C = 7

After symplifying you'll get 6x+6.

The graph is shown in the image.

Answer:

21.2

Step-by-step explanation:

4.1 + 6.5 = 10.6

10.6 x 2 = 21.2

The surface area of a regular square pyramid is 332.64 square cm

We know that the surface area of pyramid is nothing but the sum of the areas of its lateral faces and its base.

surface area of pyramid

= areas of lateral faces of pyramid + area of base of pyramid

We know that the formula for the lateral surface area of regular pyramid is:

A = ½ × P × l

where P is the perimeter of the base and l is slant height

Here, a base of regular square pyramid with has sides of 13. 2 cm

a = 13.2 cm and slant height of 6 cm i.e., l = 6 cm

Using the formula of area of square, the base area of pyramid would be,

B = (13.2)²

B = 174.24 sq.cm.

the perimeter of base is:

P = 4 × 13.2

P = 52.8 cm

So, using the above formula of lateral surface area of pyramid the lateral surface area would be

A1 = 1/2 ×  52.8 × 6

A1 = 158.4 sq. cm.

So, the surface area of the pyramid is:

A = A1 + B

A =  158.4 + 174.24

A = 332.64 square cm

Therefore, the surface area of the pyramid = 332.64 square cm

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Answer: the answer is sally only

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

The change in equilibrium real GDP is B220.

To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:

Y = AE = C + I + G + NX

Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:

C = 80 + (9/10)Y

DI = 1800

G = 1600

TR = 10

T = (1/3)Y

Substituting the values into the equation:

Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y

Simplifying the equation:

Y = 3490 + (5/6)Y

Multiplying through by 6 to remove the fraction:

6Y = 6(3490) + 5Y

6Y = 20940 + 5Y

Y = 20940

The initial equilibrium real GDP is 20940.

Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):

Y' = Y + ΔI

Substituting the values:

Y' = 20940 + B220

Calculating the change in equilibrium real GDP:

Change in Y = Y' - Y

Change in Y = (20940 + B220) - 20940

Change in Y = B220

The change in equilibrium real GDP is B220.

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Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225  = 346

- so NOT a right triangle.

To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.

a. Probability that X > 85:

To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.

First, let's calculate the z-score:

z = (X - μ) / σ

z = (85 - 100) / 10

z = -15 / 10

z = -1.5

Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.

Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).

b. Probability that X < 80:

Similarly, we'll calculate the z-score for X = 80:

z = (X - μ) / σ

z = (80 - 100) / 10

z = -20 / 10

z = -2

Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.

Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).

c. Probability that X < 90 or X > 130:

To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.

For X < 90:

z = (90 - 100) / 10

z = -10 / 10

z = -1

Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.

For X > 130:

z = (130 - 100) / 10

z = 30 / 10

z = 3

Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.

Since these events are mutually exclusive, we can add their probabilities:

P(X < 90 or X > 130) = P(X < 90) + P(X > 130)

P(X < 90 or X > 130) = 0.1587 + 0.0013

P(X < 90 or X > 130) = 0.1600

Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?

To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.

For the left tail:

z = invNorm(0.005)

z ≈ -2.576

For the right tail:

z = invNorm(0.995)

z ≈ 2.576

Now we can find the corresponding X-values:

X1 = μ + z1 * σ

X1 = 100 + (-2.576) * 10

X1 = 100 - 25.76

X1 ≈ 74.24

X2 = μ + z2 * σ

X2 = 100 + 2.576 * 10

X2 = 100 + 25.76

X2 ≈ 125.76

Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).

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Gale needs to get a 77 on his next test to get a B for the term since the average of the 5 tests need to be 84 in order to get a B.

To calculate Gale's average grade for the term, we need to find the sum of his five test grades and then divide by the number of tests. We know that his first four grades are 80, 95, 78, and 90, so the sum of these four grades is:

80 + 95 + 78 + 90 = 343

In order to get an average of 84 for the term, Gale needs to have a total of 84 * 5 = 420 points for the five tests. Since he already has 343 points from the first four tests, he needs to get 420 - 343 = 77 points on the next test. So, Gale needs to get a 77 on his next test to get a B for the term

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Complete question: gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and 90. in order to get a b for the term, gale needs to have an average of 84. what grade must gale get on the next test to get a b for the term?

Answer: 7) B: n 8) 8 9) 36- degree rotation

Step-by-step explanation: plz mark me brainliest

Answer:

only B

Step-by-step explanation:

to be a function each value of x must have exactly one value of associated y.

in A x = 1 has 2 different y values (1 and 3) associated. no function.

in C the curve shows that many values of x have multiple different y values.

e.g. x = 0 has y = -2, 0 and 2

no function.

in D x = 6 has 2 different y values (5 and 7). no function.

A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

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Answer:

Are you sure you're not missing any brackets? Cause if you do, the answer might be different

Answer:

-1

Step-by-step explanation:

-[(5-8)+12]÷9

\(=-(-3+12)\)÷9

\(=-(9)\)÷9

\(=\frac{-9}{9} \\=-1\)

Answer:

Step-by-step explanation:

Its A on EDGE!

The solutions to the equation 2x² + 1 - 9 = 0, in the form x = N ± √D/M, are found by solving the equation and determining the values of N, D, and M. The value of N is -1, D is 19, and M is 2.

To solve the given equation 2x² + 1 - 9 = 0, we first combine like terms to obtain 2x² - 8 = 0. Next, we isolate the variable by subtracting 8 from both sides, resulting in 2x² = 8. Dividing both sides by 2, we get x² = 4. Taking the square root of both sides, we have x = ±√4. Simplifying, we find x = ±2.

Now we can express the solutions in the desired form x = N ± √D/M. Comparing with the solutions obtained, we have N = -1, D = 4, and M = 2. The value of N is obtained by taking the opposite sign of the constant term in the equation, which in this case is -1.

The value of D is the quantity under the radical sign, which is 4.

Lastly, M is the coefficient of the variable x, which is 2.

Using a calculator to approximate the solutions, we find that x ≈ -2.00 and x ≈ 2.00. Therefore, rounding each answer to two decimal places, the solutions in the desired format are -2.00, 2.00.

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The number of field goals the team made in the game is equal to b. 3

The number of field goals the team made can be determined using an algebraic expression. An algebraic expression can be defined as an expression or equation that consists of both letters and numbers in it.

If the team scored 14 points from touchdowns and made x goals which are worth three points each, then an algebraic expression can be given as;

3(x) + 14 = 23

Solving for x;

3x = 23 - 14

3x = 9

x = 9 ÷ 3

x = 3

Hence, the team made a total of 3 field goals that are worth three points each.

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Answer:

n-4>58

Step-by-step explanation:

Answer:

n-4>58

Step-by-step explanation:

The correct statements are:

b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).

c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.

In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.

b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.

c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.

a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.

d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.

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The value 5 is a solution to the inequality x + x > 8 from the set {2, 3, 4, 5}.

What is meant by set?

In mathematics, a set is a collection of distinct objects or elements that share a common characteristic or property. Sets can be composed of numbers, letters, symbols, or even other sets.

To solve the inequality x + x > 8, we can simplify the left-hand side by combining like terms:

2x > 8

Then, we can solve for x by dividing both sides by 2:

x > 4

So any value of x greater than 4 would be a solution to the inequality.

From the set {2, 3, 4, 5}, the only value that satisfies this inequality is 5, since 5 is greater than 4:

5 + 5 = 10 > 8

Therefore, the value 5 is a solution to the inequality x + x > 8 from the set {2, 3, 4, 5}.

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Answer:

7

Step-by-step explanation:

4 ÷ 2 = 2

2 × 5 = 10

17 - 10 = 7

Answer:

24

Step-by-step explanation:

17 minus 5 is 12

12 times 4 is 48

48 divided by 2 is 24

yeah....