Can someone help me with my non right triangle trigonometry work? Please

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

\(4\sqrt[3]{2}\)

Step-by-step explanation:

\(\sqrt[3]{128} = \sqrt[3]{64 (2)} = 4\sqrt[3]{2}\)

Answer

x=5 y=2

Step-by-step explanation:

The inequality expression has a solution of "-8" greater than x

From the question, the inequality is given as

3 − (2x − 5) < −4(x + 2)

This gives

3 − 2x + 5 < −4x - 8

Collect the like terms in the above inequality

So, we have the following representation

4x - 2x < -8 - 3 - 5

Evaluate the like terms

So, we have the following representation

2x < -16

Divide by 2

x < -8

Rewrite the inequality as follows

So, we have the following representation

-8 > x

This is represented as

"-8" greater than x

Hence, the solution to the expression is "-8" greater than x

Read more about inequality at

brainly.com/question/25275758

#SPJ1

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

Find out more information about difference quotient here:

https://brainly.com/question/18270597

#SPJ4

Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

The equation into the form of a sum of cubes is \(\rm (4x^2)^3 + 3^3\).

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

What is \(\rm 64x^6 + 27\) written as a sum of cubes?

To write the equation into a sum of cubes following all the steps given below.

Then,

The equation into a sum of cubes is;

\(\rm= 64x^6 + 27\\\\= 4^3(x^2)^3+3^3\\\\=(4x^2)^3 + 3^3\)

Hence, the equation into the form of a sum of cubes is \(\rm (4x^2)^3 + 3^3\).

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

Learn more about subspace

brainly.com/question/30318872

#SPJ11

Answer:

10

Step-by-step explanation:

sum of two Number the second Number is 5x the first so....

45+5=10

so five times equal to 5+5=10

so the first is 45 second Number is 10

Answer:

15/17

Step-by-step explanation:

SOH-CAH-TOA

Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Because the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, we use a two-tailed test to account for the possibility of a significant difference in either direction.

Let's delve into the details of why a two-tailed test is appropriate when the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City.

In hypothesis testing, we compare a null hypothesis (H0) to an alternative hypothesis (H1). The null hypothesis typically assumes no effect or no difference between groups, while the alternative hypothesis suggests the presence of an effect or a difference.

In this case, the null hypothesis (H0) states that there is no difference between the mean net income of retail stores in Chicago and New York City. The alternative hypothesis (H1) would then state that there is a difference between the mean net income of the two cities.

When we perform a hypothesis test, we collect data from both cities and calculate sample means for each group. We then analyze whether the difference between these sample means is statistically significant or if it could have occurred by chance.

A two-tailed test is used when we are interested in detecting a difference in either direction. In other words, we want to determine if the mean net income in Chicago is significantly higher or lower than the mean net income in New York City. Therefore, a two-tailed test allows us to consider both possibilities and evaluate the statistical significance of the observed difference.

To conduct a two-tailed test, we compare the observed test statistic (such as a t-statistic or z-statistic) to a critical value determined by the chosen significance level (alpha). The critical value helps us establish the threshold for determining statistical significance. If the observed test statistic falls within the critical region (either in the upper or lower tail), we reject the null hypothesis in favor of the alternative hypothesis, concluding that there is a statistically significant difference between the mean net incomes of the two cities.

In summary, because the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, we use a two-tailed test to account for the possibility of a significant difference in either direction. This approach allows us to evaluate the statistical significance of the observed difference and make conclusions about the net income comparison between the two cities.

Learn more about hypothesis test here:

https://brainly.com/question/29996729

#SPJ11

Answer:

7 or -3

Step-by-step explanation:

its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.

steps for 7 :

7 + (10)

7 + 1 ‧ 0

7 + 0

7

steps for -3 :

7 + ( -10 )

7 - 10

-3

It's not the complete question

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ1

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:

Precalculus Examples

Popular Problems Precalculus Find the Center and Radius x^2+y^2=121

x^2+y^2=121

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)^2+(y−k)^2=r^2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r=11

h=0

k=0

The center of the circle is found at (h,k).

Center: (0,0)

These values represent the important values for graphing and analyzing a circle.

Center: (0,0)

Radius: 11

Step-by-step explanation:

Hope it is helpful......

Answer:

b = 21

Step-by-step explanation:

If there are 5 arithmetic means between 5 and b and the last term is 25, then we can find the value of b by using the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.

We know that there are 5 arithmetic means between 5 and b. Therefore, there are 7 terms in total (including 5 and b). We also know that the last term is 25. So we have:

a_7 = 25 a_1 = 5 n = 7

We can use these values to solve for d:

a_n = a_1 + (n - 1)d 25 = 5 + (7 - 1)d d = 4

Now that we know d, we can find b by using the formula for the fifth term:

a_5 = a_1 + (5 - 1)d a_5 = 5 + (4)(4) a_5 = 21

Therefore, b = 21.

Answer:

2.5

Step-by-step explanation:

15/6 (3p + 3s) = 2.5
18/7 (4p + 3s) = 2.5

The mean is 6

The variance is 4/3

The standard deviation is approximately 1.15.

How we Calculate the mean?
The mean (μ) of a uniformly distributed random variable is the average of the endpoints of the interval. So, in this case:
μ = (4 + 8) / 2 = 12 / 2 = 6

How we Calculate the variance?
The variance (σ²) of a uniformly distributed random variable is given by the formula:
σ² = (b - a)² / 12
where a and b are the endpoints of the interval. In this case:
σ² = (8 - 4)² / 12 = 4² / 12 = 16 / 12 = 4 / 3

How we Calculate the standard deviation?
The standard deviation (σ) is the square root of the variance. So, in this case:
σ = √(4 / 3) ≈ 1.15

Learn more about Standard deviation

brainly.com/question/29088233

#SPJ11

The variance of (X + Y)/2 is 5/9. The variance of a random variable is defined as E[(X - E[X])^2], where E[X] is the expected value of the random variable.

We are given the joint probability density function of X and Y as f(x,y) = (x+y)/8 for 0 < x < 2 and 0 < y < 2.

We need to find the variance of (X + Y)/2.

Let Z = (X + Y)/2. Then, the expected value of Z is:

E[Z] = E[(X + Y)/2] = E[X]/2 + E[Y]/2

We can find E[X] and E[Y] as follows:

E[X] = ∫∫x f(x,y) dxdy = ∫∫x(x+y)/8 dxdy

= ∫0²∫0²x(x+y)/8 dydx = 2/3

Similarly, E[Y] = 2/3.

Therefore, E[Z] = 2/3.

Now, we need to find E[Z^2]:

E[Z^2] = E[(X + Y)^2/4] = E[X^2]/4 + E[Y^2]/4 + E[XY]/2

We can find E[X^2], E[Y^2], and E[XY] as follows:

E[X^2] = ∫∫x^2 f(x,y) dxdy = ∫0²∫0²x^2(x+y)/8 dydx = 2

E[Y^2] = ∫∫y^2 f(x,y) dxdy = ∫0²∫0²y^2(x+y)/8 dydx = 2

E[XY] = ∫∫xy f(x,y) dxdy = ∫0²∫0²xy(x+y)/8 dydx = 1/2

Therefore, E[Z^2] = (2/4) + (2/4) + (1/4) = 1.

Finally, we can find the variance of Z as:

Var(Z) = E[Z^2] - E[Z]^2 = 1 - (2/3)^2 = 5/9.

Therefore, the variance of (X + Y)/2 is 5/9.

Learn more about variance here

https://brainly.com/question/15858152

#SPJ11

The symmetries of the graphs are mentioned below -

Given are the graphs as shown in the image.

For each graph we can discuss the symmetry below -

Graph {A} -

Graph {B} -

Graph {C} -

Therefore, the symmetries of the graphs are mentioned below -

To solve more questions on axis of symmetry, visit the link below -https://brainly.com/question/22495480

#SPJ12

Based on the given algebraic expression, the value of b in 7.8b - 2.14 = -42.7 is -5.2

7.8b - 2.14 = -42.7

7.8b = -42.7 + 2.14

7.8b = -40.56

b = -40.56 / 7.8

b = -5.2

Check:

7.8b - 2.14 = -42.7

substitute the value of b into the equation

7.8(-5.2) - 2.14 = -42.7

-40.56 - 2.14 = -42.7

- 42.7 = -42.7

In conclusion, the solution to the algebraic expression 7.8b - 2.14 = -42.7 is b = -5.2

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

Let x be the temperature of a freezer; at a restaurant, all the freezers are set to a temperature that is below 3°F. The inequality x < 3 is used to denote temperatures below 3°F. Hence, Option C is correct.

The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.

In mathematics, various signs are used to denote the inequality among values.

Therefore, inequality x < 3 is used to denote temperatures below 3°F. Option C is correct.

Learn more about inequality from here:

https://brainly.com/question/28823603

#SPJ1

Answer:

5(10k + 1) + 2(2+8k)

Use distributive property

5(10k)+5(1)+2(2)+2(8k)

50k+5+4+16k

combine like terms (50k and 16k are alike as well as 5 and 4)

50k+16k and 5+4

66k+9 is the answer

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

soln,

2x+3x+x=180[Being angle on a line]

or,6x=180

or,x=180/6

or,x=30

Please give me brainliest answer