How many roots does this equation have?
x2 = 64 and OSX< +00

The value of x is given as follows:

x = 17.

We obtain the value of x for this problem considering that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of the triangle is given as follows:

The sum of the measures of the angles is of 180º, hence the value of x is given as follows:

4x + 3 + x + 7 + 5x = 180

10x + 10 = 180

10x = 170

x = 17.

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Answer:

12

Step-by-step explanation:

the angles on top of a line (or below a line) sum up to 180 degrees, as a line stands in that regard for a flip from left to right - which is a half circle or 180 degrees.

therefore, the sum of both angles must be 180.

10x - 20 + 6x + 8 = 180

16x -12 = 180

16x = 192

x = 12

Answer: 6

Step-by-step explanation:

1. 3x - 6 = 12

2. add 6 to both sides

3. 3x = 18

4. x=6

I hope this is right

Answer:

sure i can help

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

The equation for the surface obtained by rotating the line x = 9y about the x-axis is z² + 81y² = x².(1)

To find this equation, start with the given line x = 9y. Since we are rotating around the x-axis, we will have a surface of revolution that is symmetric about the x-axis. This means that the equation will only involve x, y, and z².

Rewrite the given line as y = (1/9)x. Next, square both sides of this equation to get y² = (1/81)x². Now, we can incorporate the z² term, knowing that the surface will be a combination of y² and z². Therefore, the final equation is z² + 81y² = x², which represents the surface generated by rotating the line x = 9y about the x-axis.(1)

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There was scarcity of energy and water resources throughout the state of Arizona according to the data collected in 2010.

The major cause of the scarcity was extensive drought conditions that occurred to the Colorado River system that supplies 36%o f Arizona's total water use.

In conclusion, the government have been employing many policies to increase their water reservoir level.

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Answer: Water

Step-by-step explanation:

Answer:

  25π yd²

Step-by-step explanation:

You want the exact area of a 40° sector of a circle of radius 15 yards.

The area of a sector is given by ...

  A = 1/2r²θ

where θ is the central angle in radians.

There are π radians in 180°, so there are (40/180)π = 2π/9 radians in 40°.

Then the area of the sector is ...

  A = 1/2(15 yd)²(2π/9) = 25π yd²

The area of sector GPH  is 25π square yards.

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Answer:

is there a graph or any other options to go with this?

Step-by-step explanation:

Answer: Sym. Prop. of ≅

Step-by-step explanation:

no explanation

Answer:

First pic X= 13.036

Second pic x= 11.23

Step-by-step explanation:

0.13% of the test-takers Scored better than the trainee who scored 77.

To determine the percentage of test-takers who scored better than a trainee who scored 77, we can use the standard deviation and the concept of z-scores in a normal distribution.

Given that the distribution of scores is mound-shaped and symmetric, we can assume that the scores follow a normal distribution.

First, we need to calculate the z-score for the trainee who scored 77. The z-score measures how many standard deviations a particular value is from the mean. It is calculated using the formula:

z = (x - μ) / σ

Where:

- x is the individual score (77 in this case)

- μ is the mean (83 in this case)

- σ is the standard deviation (2 in this case)

Plugging in the values, we get:

z = (77 - 83) / 2 = -3

The z-score of -3 indicates that the trainee who scored 77 is 3 standard deviations below the mean.

To find the percentage of test-takers who scored better, we need to find the area under the normal curve to the right of the z-score -3. We can look up this value in a standard normal distribution table or use statistical software.

Using a standard normal distribution table, we find that the area to the right of -3 is approximately 0.0013.

To find the percentage, we multiply this area by 100:

Percentage = 0.0013 * 100 = 0.13%

Therefore, approximately 0.13% of the test-takers scored better than the trainee who scored 77.

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The median, µ, is the point in the domain of a continuous random variable X that splits the area under the probability density function (PDF) of X in half, hence F(˜µ) = 1/2. Therefore, 1/2 = µ⁴, and so µ = 2⁻¹/⁴ = 0.8409 (approx. to 4 decimal places).

Expectation of a continuous random variable X is given by: E(X) = ∫x f(x) dx, where f(x) is the probability density function of X, hence E(X) = ∫0¹x4x³dx = 4∫0¹x⁴dx = [4(x⁵/5)]₀¹ = 4/5. Therefore, E(X) = 4/5.(b) Variance of a continuous random variable X is given by: V(X) = E(X²) - [E(X)]². Hence E(X²) = ∫0¹x²4x³dx = 4∫0¹x⁵dx = [4(x⁶/6)]₀¹ = 2/3. Therefore, V(X) = E(X²) - [E(X)]² = 2/3 - (4/5)² = 2/75.(c) The cumulative distribution function (CDF) of a continuous random variable X is given by: F(x) = ∫₋∞ᵡf(t) dt, where f(t) is the probability density function of X, hence F(x) = ∫₀ˣ4t³dt = t⁴(4)₀ˣ = x⁴.

The median, µ, is the point in the domain of a continuous random variable X that splits the area under the probability density function (PDF) of X in half, hence F(µ) = 1/2. Therefore, 1/2 = µ⁴, and so µ = 2⁻¹/⁴ = 0.8409 (approx. to 4 decimal places).

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a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

If a and b are both divisible by c, then a−b is divisible by c. At least one of k, k+1, or 2k+1 is divisible by 3.

3. Let's assume that a and b are both divisible by c. This means there exist integers k1 and k2 such that a = ck1 and b = ck2. We can express their difference as (a - b) = ck1 - ck2 = c*(k1 - k2). Since k1 - k2 is also an integer, we can conclude that (a - b) is divisible by c.

To show that at least one of k, k+1, or 2k+1 is divisible by 3, we can consider the three possible cases:

a) If k is divisible by 3, then k is the desired number.

b) If k+1 is divisible by 3, then k+1 is the desired number.

c) If neither k nor k+1 is divisible by 3, we can conclude that (k+2) is divisible by 3. This is because if two consecutive numbers are not divisible by 3, the next number must be divisible by 3 according to the properties of integers. Therefore, at least one of k, k+1, or 2k+1 is divisible by 3.

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After the additional registrations, there were 100 more voters registered as Democrats than as Republicans in the district by using the concept ratio.

Let's assume the initial number of registered Republicans in the district is 3x, and the initial number of registered Democrats is 5x.

According to the given information, the ratio of Republicans to Democrats before the additional registrations was 3/5. Therefore, we have the equation:

(3x + 600) / (5x + 500) = 3/5

To solve this equation, we can cross-multiply:

5(3x + 600) = 3(5x + 500)

15x + 3000 = 15x + 1500

By subtracting 15x from both sides, we get:

3000 = 1500

This equation is inconsistent and cannot be satisfied. This means there is no valid solution based on the given information. However, if we assume the ratio before the additional registrations was 5/3 instead of 3/5, we can solve the equation:

(3x + 600) / (5x + 500) = 5/3

Cross-multiplying again:

3(3x + 600) = 5(5x + 500)

9x + 1800 = 25x + 2500

Simplifying and rearranging the equation:

16x = 700

x = 700/16 ≈ 43.75

Now we can find the number of registered Democrats and Republicans after the additional registrations:

Democrats: 5x + 500 = 5(43.75) + 500 ≈ 319.75

Republicans: 3x + 600 = 3(43.75) + 600 ≈ 331.25

The difference between the number of registered Democrats and Republicans is:

319.75 - 331.25 ≈ -11.5

Since we're only interested in the absolute difference, the result is approximately 11.5 voters. Thus, there were approximately 11.5 more voters registered as Republicans than as Democrats after the additional registrations.

Based on the given information, there is no valid solution that satisfies the ratio of 3/5 after the additional registrations. However, if we assume the ratio was 5/3, then there were approximately 11.5 more voters registered as Republicans than as Democrats after the registrations.

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Answer:

the answer to this will most likely be nine 9

Answer:

9

Step-by-step explanation:

27 divided by 3 is 9!

Please mark brainliest if possible and have a nice day!

Answer:

(16y-3) (4y+1)

Step-by-step explanation:

using quadratic formula i.e.ay^2+by+c=0

64y^2+4y-3

64y^2+16y-12y-3

16y(4y+1)-3(4y+1)

(16y-3) (4y+1)

hope it help yuh...mark brianliest if my answer suit your question.

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

15/4 = 3 3/4

Step-by-step explanation:

15/4 = 3 R 3 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5

f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559

g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72

h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

-------------------------------------------------------------------

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

\(H_0: p = 0.6\)

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

\(H_1: p \neq 0.6\)

-------------------------------------------------------------------

Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of \(|Z_c| = 1.645\), and the decision rule is:

Accept the null hypothesis: \(|Z| < 1.645\)

Reject the null hypothesis: \(|Z| > 1.645\)

-------------------------------------------------------------------

Test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that \(\mu = 0.6, \sigma = 0.4\)

75 out of a sample of 140:

This means that:

\(n = 140, \pi = \frac{75}{140} = 0.5357\)

-------------------------------------------------------------------

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}\)

\(z = -1.55\)

So |z| = 1.55

-------------------------------------------------------------------

Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

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Answer:

b

Step-by-step explanation:

Answer:

Just N

Step-by-step explanation:

Combine like terms to leave you with: 1n

Answer:

n

Step-by-step explanation:

-9n+10n=1n/n

Also can be 10n-9n=1n/n

Looking at this figure, we can see it has 4 sides, so it is a quadrilateral.

All sides have different sizes, and there are no parallel sides.

So the only description we can use is quadrilateral.

Therefore the only option that applies is B.

Answer:

E) No solution

Step-by-step explanation:

Answer:

E) no solution

Step-by-step explanation:

-144x + 288 < 288 - 144x

both sides are identical so there is no solution

The additional ordered pair to form the function (12, 7)

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value.

Given that, a table which is showing a function,

We need to find one ordered pair that can shows a function,

According to the definition of the function, we know that each value of x will have a unique value of y,

From the numbers given, the only ordered pair that shows a function is (12, 7)

Hence, the additional ordered pair to form the function (12, 7)

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The Inverse Laplace Transform of F(s)=(9)+(15/s)+(16/s∧2) is f(t) = 9*del(t) + 15 + 16*t.

To determine the Inverse Laplace Transform of F(s) = 9 + (15/s) + (16/s^2), we will use the given form f(t) = A*del(t) + B + Ct, where del(t) is the delta function equal to 1 at t=0 and zero everywhere else.

Step 1: Identify the corresponding inverse Laplace transforms for each term.
- For the constant term 9, its inverse Laplace transform is 9*del(t), where A = 9.
- For the term 15/s, its inverse Laplace transform is 15, where B = 15.
- For the term 16/s^2, its inverse Laplace transform is 16*t, where C = 16.

Step 2: Combine the inverse Laplace transforms.
f(t) = 9*del(t) + 15 + 16*t

So, the Inverse Laplace Transform of F(s) = 9 + (15/s) + (16/s^2) is f(t) = 9*del(t) + 15 + 16*t.

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