Enter the correct answer in the box. Write your answer in the form y - mx + b, using the appropriate inequality symbol in place of
the equal sign.
What inequality is shown in the graph?

The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)

An equation is an expression that shows the relationship between two or more numbers and variables.

The conversion from polar to rectangular coordinates is:

x = rcosФ and y = rsinФ

Hence:

x = 6cos(π/2) = 0, y = 6sin(π/2) = 6

The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.

Given the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4

a. SUM

=8 + [tex]11* \frac{1}{4}[/tex]

= [tex]8 + \frac{45}{4}[/tex]

= [tex]\frac{32 + 4}{4}[/tex]

= [tex]\frac{36}{4}[/tex]

= 9

B. Difference

= 8 - (-4)

= 8 + 4

= 12

C. Product

= [tex]8 * \frac{45}{4}[/tex]

= [tex]2 * \frac{45}{1}[/tex]

= 90

D. Quotient

= [tex]8 * 3. 25[/tex]

= 26

Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.

Learn more about algebra here:

https://brainly.com/question/4344214

#SPJ1`

The formula that will help eli determine how much money he will earn in one week is a = 9h + nb

Let

a = (9 × h) + (n × b)

a = 9h + nb

Complete question:

Eli works in an electronics repair shop. he earns 9 dollars an hour plus a bonus for each item her repairs.

write a formula that will help eli determine how much money he will earn in one week

Learn more about formula:

https://brainly.com/question/3069172

#SPJ1

Answer:

a = -4

b=-29

Step-by-step explanation:

First write the radicals in simplest form.

i² = -1

[tex]\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)[/tex]

                                                          [tex]\sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i[/tex]

   [tex]\sf \boxed{a = -4 }\\\\\boxed{b=-29}[/tex]

Answer:

-2x-8

Step-by-step explanation:

-5x + (3x-8)

-5x +3x -8

-2x - 8

Answer:

-2x-8

Step-by-step explanation:

-5x+(3x-8)

-5x+3x-8

-2x-8

Try this

Answer:

Step-by-step explanation:

the triangles are similar, so same angles

the sum of the interior angles of a triangles is 180°

take away from 180° the know angles and you will have your answer

180 - 62 - 90 =

28°

The correct options about the dilation are; Options A, B and E

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; https://brainly.com/question/10253650

#SPJ1

1/216 is the equivalent expression for the given exponent [tex]6^{-3}[/tex].

An algebraic expression is a mathematical expression involving mathematical operations, variables, numbers, and mathematical quantities and combinations of them.

A negative exponent is the reciprocal of the same exponent with a positive value.

The reciprocal of any number is given by the fraction with the number as denominator and 1 as the numerator.

Here the given negative exponent is given by,

[tex]6^{-3}[/tex]

The exponent with positive value of the given negative exponent is given by [tex]6^3[/tex]

Reciprocal of the above exponent with positive value is given by,

[tex]\frac{1}{6^3}[/tex]

So now Calculating the negative exponent we have,

[tex]6^{-3} = \frac{1}{ {6}^{3} } = \frac{1}{216} [/tex]

Hence the equivalent expression for the given negative exponent is 1/216.

Learn more about Negative Exponent here -

https://brainly.com/question/1773695

#SPJ10

Answer:

Hello! The answer to your question is (-7, -4).

Step-by-step explanation:

To solve this problem, you have to use the midpoint formula:

[tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Now, we can substitute our values in:

[tex](\frac{-9 + -5}{2}, \frac{1 - 9}{2} )\\= (\frac{-14}{2} , \frac{-8}{2}) \\= (-7, -4)[/tex]

Answer:

3√5 or ≈ 6.71

Step-by-step explanation:

The Distance Formula is d = √((x2-x1)² + (y2-y1)²)

Given Points: (-3, 2) and (0, -4)

          Points: (x1, y1) and (x2, y2)

Find the difference between coordinates:

(x2 - x1) = (0 - (-3)) = 3

(y2-y1) = (-4 - 2) = -6

Square the results and sum them up:

(3)² + (-6)² = 9 + 36 = 45

Now Find the square root and that's your result:

Exact solution: √45 = 3√5

Approximate solution: 6.7082

Learn more about the Distance Formula here: https://brainly.com/question/661229

Answer:

There are 6 possible outcomes for die A and 6 possible outcomes for die B.

Each of the 6 outcomes of die A can be combined with each of the 6 outcomes of die B. Therefore the total number of possible outcomes for each roll is given by:

6*6=36

Answer:

31,41,51,71

Step-by-step explanation:

Answer:

The answer is: 31,41,51,71

The Answer Is:

4z

Hope this helped!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{Identify the equivalent expression z + z + z + z}\downarrow[/tex]

[tex]\huge\textbf{Let's find out which one is equal to}\\\\\huge\textbf{the following expressions:}[/tex]

[tex]\large\textbf{z + z + z + z}[/tex]

[tex]\large\textbf{= 1z + 1z + 1z + 1z}[/tex]

[tex]\large\textbf{= 2z + 1z + 1z}[/tex]

[tex]\large\textbf{= 3z + 1z}[/tex]

[tex]\large\textbf{= 4z}[/tex]

[tex]\huge\textbf{Anwer:}[/tex]

[tex]\huge\boxed{\textsf{Option A. 4z}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

84 mm

Step-by-step explanation:

1 cm = 10 mm

8.4 cm = 84 mm

Answer:

40 people

Step-by-step explanation:

480.80 times 40 this equals 19,220

The true statements about the function are:

The table of values is given as:

x     f(x)

-3    -15

-2     0

-1      3

0      0

1      -3

2      0

3      15

From the table, the function values do not exceed 0 at the interval 0 to 2.

This means that f(x) ≤ 0 over the interval [0, 2].

Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0

This means that f(x)>0 over the interval (-2,0)

Also from the table, the function values are at least 0 at the intervals greater than 2

This means that f(x) ≥ 0 over the interval [2,∞)

Hence, the true statements are (b), (d) and (e)

Read more about functions at:

https://brainly.com/question/27831985

#SPJ1

Answer:

The answers are B, C, and D

Step-by-step explanation:

Edge 2023

The probability illustrates that the mean of the sample proportions equal the proportion of girls in two births.

The table that describes the sampling distribution of the sample proportion of girls from two births will be:

Girls Probability

0. 0.25

0.5. 0.5

1. 0.25

The mean of the sample proportions equal the proportion of girls in two births. This is illustrated as 1/2.

Also, the result suggest that the sample proportion is an unbiased estimator big the population proportion because rye sample proportion and population proportion are not the same.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

[tex]\bar{x}[/tex]=13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

[tex]\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end[/tex]

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

#SPJ4

If sin theta < 0 and tan theta > 0 as described in the task content, then, cos theta < 0 and 180<theta <270.

From the task content, it was described that sin theta < 0 and tan theta > 0.

Upon recall of angle quadrants, it follows that only the 3rd quadrant angles have positive tan values and negative sin values. Hence, it follows that the angle theta is in the 3rd quadrant and also has cos theta < 0.

Read more on quadrants;

https://brainly.com/question/1548800

#SPJ1

Using the hypergeometric distribution, there is a 0.2486 = 24.86% probability that the entire batch will be rejected.

The formula to find the hypergeometric distribution formula is

P(X=x)=P(x, N, n, K)[tex]=\frac{C_{k, x} C_{N-k, n-x} }{C_{N, n} }[/tex]

[tex]C_{n, x} =\frac{n!}{(n-x)!}[/tex]

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

For this problem, the values of the parameters are given as follows:

N = 8000, n = 7, k = 0.04 x 8000 = 320

The probability that the entire batch will be rejected is P(x≥1), given as follows: P(x≥1)=1-P(X=0)

In which,

P(X=0)=P(0, 8000, 7, 320)[tex]=\frac{C_{320, 0} C_{7680, 7} }{C_{8000, 320} }=0.7514[/tex]

Now, P(x≥1)=1-0.7514=0.2486

Therefore, 0.2486 = 24.86% probability that the entire batch will be rejected.

More can be learned about the hypergeometric distribution at

brainly.com/question/24826394

#SPJ1

Answer:

200+500

Step-by-step explanation:

its wrong i answered the wrong question

Answer:

Yes

Step-by-step explanation:

To find out whether or not a graph is a function, we can do the vertical line test. If the vertical line only touches one point, then the graph is a function. This is because in a function, an input can only have one output.

Answer:

x=80

Step-by-step explanation:

So normally when x is in the numerator, you multiply both sides of the equation by whatever the denominator is to cancel out the fraction. But in this case since you don't have the fraction alone, you normally want to isolate it first So let's do that

Original equation:

[tex]\frac{x}{4}+7=27[/tex]

Subtract 7 from both sides

[tex]\frac{x}{4}=20[/tex]

Multiply both sides by 4 to cancel out the denominator:

[tex]x=80[/tex]

the segment DE is perpendicular to segment AC

==========================================================

Explanation:

The tiny square marker indicates we have a 90 degree angle, which in turn means the two segments DE and AC are perpendicular.

Furthermore, DE is a perpendicular bisector of AC because AC is broken into two equal pieces (AE and EC). The term "bisect" means "split in equal halves". We know that AE = EC due to the small tickmarks on each mentioned segment.

Choice B states "AC is a perpendicular bisector". This is incorrect because AC does not split any segments into two equal pieces. If choice B said "DE is a perpendicular bisector", then it would be correct.

Answer: 13 questions

Step-by-step explanation:

52% of 25 is 13

25/x=100%/52%

x=13

The rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.

Given mechanic first worked 20 hours and mechanic second worked 15 hours and they charged $1650. The sum of rates of first mechanic and second mechanic is $95 per hour.

let the rate charged by first mechanic be x .

let the rate charged by second mechanic be y.

According to question

x +y=95-----------1

20x+15y=1650----------2

Multiply equation 1 by 20 and subtract equation 2 from 1.

20x+20y-20x-15y=1900-1650

5y=250

y=50

put the value of y=50 in 1 to get the value of x.

x +y=95

x+50=95

x=95-50

x=45

Hence the rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.

Learn more about equation at https://brainly.com/question/2972832

#SPJ4

Question is incomplete as it should be as under:

Two mechanics worked on a car, the first mechanic worked 20 hrs. and the second mechanic worked 15 hours together. They charged a total of $ 1650.  What is the rate charged per hour for each mechanic if the sum of the two rates per hour was $95 per hour?

Answer:

one hundred and two years

Answer:

  42

Step-by-step explanation:

Each ages at the same rate. In 3 years, all will be 3 years older.

The sum of their ages now is ...

  A +J +D = 33

In 3 years, the sum will be ...

  (A +3) +(J +3) +(D +3) = (A +J +D) +(3 +3 +3) = 33 +9 = 42

In 3 years, the sum of their ages will be 42.

Answer:

[tex] \frac{2 ln(5) }{3 ln(2) } [/tex]

Step-by-step explanation:

[tex] log_{8}(25) = \frac{ ln(25) }{ ln(8) } = \frac{ ln( {5}^{2} ) }{ ln( {2}^{3} ) } = \frac{2 ln(5) }{3 ln(2) } [/tex]

Using the normal distribution, it is found that there is a 0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The proportion and the sample size are given, respectively, by:

p = 0.4, n = 743

Hence the mean and the standard error are given, respectively, by:

The probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3% is the p-value of Z when X = 0.43 subtracted by the p-value of Z when X = 0.37, hence:

X = 0.43:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.4}{0.018}[/tex]

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

X = 0.37:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.37 - 0.4}{0.018}[/tex]

Z = -1.67

Z = -1.67 has a p-value of 0.0475.

0.9525 - 0.0475 = 0.905.

0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

B

Step-by-step explanation:

The only x,y pair in the table is  4,2