angle P and angle Q are complementary. The measure of angle Q is 33.5°. What is the measure of angle P?​

Answers

Answer 1

Answer:

56.5 degrees

Step-by-step explanation:

Because complementary angles are when their sum is 90, you get the equation:

P + Q = 90

Since Q is 33.5,

P + 33.5 = 90

Subtracting 33.5 from both sides,

P = 56.5


Related Questions

Which is equivalent to (-m)4x n2 ?

Answers

Answer:

a.) m⁴n²

Step-by-step explanation:

( -m)⁴ × n ²

A negative base raised to an even powers equals a positive.

m ⁴ × n²

multiply the terms

m⁴n²

Answer:

a.) m⁴n²

Step-by-step explanation:

yea

what is the formula for triangle​

Answers

Answer:

A = 1/2 b × h

Step-by-step explanation:

hope it helps !!!!

Answer:

The formula for the area of a triangle is 1/2bh.  

All I need is number one

Answers

Answer:

a. 7 ÷ 4 yes

b. 4 ÷ 7 no

c. [tex]\frac{7}{4}[/tex] yes

d. [tex]\frac{4}{7}[/tex] no

e. 7 × [tex]\frac{1}{4}[/tex] yes

f. [tex]1\frac{3}{4}[/tex] yes

Step-by-step explanation:

hope this helps ^^

The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 41 hours. A single plant operates three galvanizing lines that are assumed to operate independently. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that none of the lines experiences a surface finish problem in 41 hours of operation?
(b) What is the probability that all three lines experience a surface finish problem between 24 and 41 hours of operation?

Answers

Answer:

a) The probability that none of the lines experiences a surface finish problem in 41 hours of operation is 0.0498.

b)The probability that all three lines experience a surface finish problem between 24 and 41 hours of operation is 0.0346.

Step-by-step explanation:

[tex]Mean = \frac{1}{\lambda} = 41\\P(X\leq x)= 1-e^{-\lambda x}[/tex]

[tex]P(X>x)= e^{-\lambda x}[/tex]

a)

[tex]P(x> 41, y>41, Z>41) = (P(X>41))^{3}\\\\P(X>41)=e^{^{-\frac{41}{41}}}=e^{-1}[/tex]

[tex]P(x> 41, y>41, Z>41) = \left (e^{-1} \right )^{3}\\\\P(x> 41, y>41, Z>41) = e^{-3} = 0.0498.[/tex]

b)

[tex]\lambda =\frac{24}{41}\\P(X=1)=e^{-\lambda }\cdot \lambda =\left ( e^{-0.585} \right )\left ( 0.585 \right )\\P(X=1)=0.326[/tex]

For 3 where, P(X=1, Y==1, Z=1)

                     [tex]= (0.326)^{3} \\\\= 0.0346[/tex]



Using the table above. Which statement below is true?

Answers

9514 1404 393

Answer:

  (d)  45% play basketball; 55% play soccer

Step-by-step explanation:

You just need a little number sense here. The total number who play sports is the number in the lower right of the table: 120.

The fraction who are males playing basketball is 42/120. Comparing that to 45/100, we see it cannot be 45%. (a) is false.

The fraction who are males is 72/120, more than half, so cannot be 40%. (b) is false.

Looking at males who play basketball, we have already determined the fraction 42/120 is well below 65%. (c) is false.

The fraction who play basketball is 54/120 = 45%. (d) is true.

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

Answers

Answer:

4

Step-by-step explanation:

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

-11+4*4+3*-4+7*-2+25

-11+16+-12+-14+25

4

We have 9 pens, of which 5 are green ink, 3 are red ink, and 1 is black. If we put the pens in a line, how many arrangements are possible

Answers

Answer:

504 arrangements are possible

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

Arrangements of n elements, divided into groups:

The number of arrangements of n elements, divided into groups of [tex]n_1, n_2,...,n_n[/tex] elements is given by:

[tex]A_{n}^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n!}[/tex]

In this case:

9 pens, into groups of 5, 3 and 1. So

[tex]A_{9}^{5,3,1} = \frac{9!}{5!3!1!} = 504[/tex]

504 arrangements are possible

Question 8
Points 3
Identify the functions whose lines are parallel.
0 3x + 2y = 45 and 8x + 4y = 135
x + y = 25 and 2x + y = 15
O 2x + 2y = 50 and 4x + 2y = 90
O 2x + 2y = 4 and 4x + 4y = 16

Answers

Answer:

2x + 2y = 4 and 4x + 4y = 16

Step-by-step explanation:

For two lines to be parallel, they must have the same slope.

To determine the correct answer to the question, we shall determine the slope of each equation in the given options to see which have the same slope. This can be obtained as follow:

1st option:

3x + 2y = 45 and 8x + 4y = 135

We shall rearrange the above equations to look like y = mx + c

NOTE: m is the slope.

3x + 2y = 45

rearrange

2y = –3x + 45

Divide both side by 2

y = –3x/2 + 45/2

Slope (m) = –3/2

8x + 4y = 135

Rearrange

4y = –8x + 135

Divide both side by 4

y = –8x/4 + 135/4

Slope (m) = –8/4 = –2

The two equation has different slopes. Thus, they are not parallel.

2nd option:

x + y = 25 and 2x + y = 15

x + y = 25

Rearrange

y = –x + 25

Slope (m) = –1

2x + y = 15

Rearrange

y = –2x + 15

Slope (m) = –2

The two equations has different slopes. Thus, they are not parallel.

3rd option:

2x + 2y = 50 and 4x + 2y = 90

2x + 2y = 50

Rearrange

2y = –2x + 50

Divide both side by 2

y = –2x/2 + 50/2

Slope (m) = –2/2 = –1

4x + 2y = 90

Rearrange

2y = –4x + 90

Divide both side by 2

y = –4x/2 + 90/2

Slope (m) = –4/2 = –2

The two equations has different slopes. Thus, they are not parallel.

4th option:

2x + 2y = 4 and 4x + 4y = 16

2x + 2y = 4

Rearrange

2y = –2x + 4

Divide both side by 2

y = –2x/2 + 4/2

Slope (m) = –2/2 = –1

4x + 4y = 16

Rearrange

4y = –4x + 16

Divide both side by 4

y = –4x/4 + 16/4

Slope (m) = –4/4 = –1

The two equations have the same slopes. Thus, they are parallel.

Find the area of the quadrilateral.

Answers

Answer:

320 cm²

Step-by-step explanation:

If 3 units = 12cm

Then 1 unit = 12/3 = 4cm

Formula for Area Trapezoid = height*(base1+base2)/2

Base 1 = 12

Base 2 = 7 * 4 = 28

12 + 28 = 40

40 * (4*4) = 40 * 16 = 640

640 / 2 = 320

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

98 POINTS!!!
Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4. What is the average rate of change?

Answers

Answer:

The average rate of change is 5.

Step-by-step explanation:

First plug in the x values.

y=5x+1

=(0)5+1

=1

y=5x+1

=(4)5+1

=21

Average rate of change = the change in the output divided by the change in the input.

Output change: 21-1=20

Input change: 4-0=4

20/4=5

20/4 = 5 sorry if its wrong

Melanie has D dimes and Q quarters. She has no less than $4 worth of coins altogether. Write this situation as an inequality.

Answers

Step-by-step explanation:

D(.10) + Q(.25) = 4

I think

Answer:

D(.10) + Q(.25) = 4

Step-by-step explanation:

I need this to pass summer school​

Answers

Answer: The answer is b

I think the same thing, b. Hope this helps

What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
15
D 4 B
A. 7.7
B. 3.8
O C. 15
D. 4

Answers

Answer:

Step-by-step explanation:

I need help please it’s for math

Answers

Answer:

139

Step-by-step explanation:

Since the given is a parallelogram then angle <D and angle <B are equal angles

10x - 21 = 9x - 5

10x - 9x = 21 - 5

x = 16 replace x with 16 to find the measure of angle <B

16*9 - 5 = 139

in a class of 38 student,30 are good in mathematics and 22 are good in physics how many students are good in both mathematics and physics

Answers

Answer:

8 are bad in math and 16 in physics

Step-by-step explanation:

If A = {x, y, z} then the number of non-empty subsets of A is ________.

a) 8 b) 5 c) 6 d) 7​

Answers

Answer:

(d) 7

Step-by-step explanation:

The total number of subsets that can be derived from a set with n elements is given by;

2ⁿ

Out of these subsets, there is one empty set. Therefore, the total number of non-empty subsets is given by;

2ⁿ - 1

Given:

A = {x, y, z}

Set A has 3 elements. This means that n = 3

Therefore, the total number of subsets that can be derived from set A is

2ⁿ = 2³ = 8

One of these 8 subsets is an empty set, therefore, the total number of non-empty subsets of A is;

2ⁿ - 1 = 2³ - 1

8 - 1 = 7

This can be checked by writing all the possible subsets of A as follows;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Removing the empty set ∅, the non-empty subsets of A are;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

What two methods are the best choices to factor this expression?

18x2 − 8

Answers

Answer:

18x2 is 36 but you have to minus it so the answer is 28.

18x2 which is 36 but than you have to subtract the 8 so you are left with 28

The half-life of a newly discovered radioactive element is 30 seconds. To the nearest tenth of a second, how long will it take for a sample of 9 grams to decay to 0.72 grams

Answers

Answer:

It will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

Step-by-step explanation:

We can write a half-life function to model our function.

A half-life function has the form:

[tex]\displaystyle A=A_0\left(\frac{1}{2}\right)^{t/d}[/tex]

Where A₀ is the initial amount, t is the time that has passes (in this case seconds), d is the half-life, and A is the amount after t seconds.

Since the half-life of the element is 30 seconds, d = 30. Our initial sample has nine grams, so A₀ is 9. Substitute:

[tex]\displaystyle A=9\left(\frac{1}{2}\right)^{t/30}[/tex]

We want to find the time it will take for the element to decay to 0.72 grams. So, we can let A = 0.72 and solve for t:

[tex]\displaystyle 0.72=9\left(\frac{1}{2}\right)^{t/30}[/tex]

Divide both sides by 9:

[tex]\displaystyle 0.08=\left(\frac{1}{2}\right)^{t/30}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln(0.08)=\ln\left(\left(\frac{1}{2}\right)^{t/30}\right)[/tex]

By logarithm properties:

[tex]\displaystyle \ln(0.08)=\frac{t}{30}\ln(0.5)[/tex]

Solve for t:

[tex]\displaystyle t=\frac{30\ln(0.08)}{\ln(0.5)}\approx109.3\text{ seconds}[/tex]

So, it will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

help me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me

Answers

Volume of the 3d composite figure is,

(7×6×5)+(7×6×5)/3

= 210+70

= 280 cm³

Relationship between the two volumes,

Volume of the rectangular prism is 3 times the volume of the pyramid.

Answered by GAUTHMATH

Answer:

I was gonna anwer it but somone already did.

Step-by-step explanation:

Rewrite the expression by factoring out (u-8).3u^2(u-8)-2(u-8)

Answers

Answer:

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]3u^2(u - 8) - 2(u - 8)[/tex]

Factoring out (u-8)

Place (u-8) to the front, and then divide each term by (u-8). So

[tex]3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)[/tex]

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

when a force of 400N is applied on a body at angle of 60 degree to the horizontal displacement,the body covers a distance of 8m.what is the work done?

Answers

Answer:

1600N

Step-by-step explanation:

Force = 400 N

Angle with horizontal = 60°

Displacement in horizontal direction = 8 m

work done formula when angle is included: Force * distance * cos(angle)

400 * 8 * cos(60)

= 400 * 8 * 1/2

= 1600N

Examine the following expression.

p squared minus 3 + 3 p minus 8 + p + p cubed

Which statements about the expression are true? Check all that apply.
The constants, –3 and –8, are like terms.
The terms 3 p and p are like terms.
The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.
The expression contains six terms.
The terms p squared and p cubed are like terms.
Like terms have the same variables raised to the same powers.
The expression contains seven terms.

Answers

Answer:

the terms in the expression are p squared, negative 3,3p, negative 8,p,p cubed

Step-by-step explanation:

hope that helps

find the slope and y-intercept of line 3x +y -9=0

Answers

Answer:

x-intercept(s):(3,0)

y-intercept(s):(0,9)

Step-by-step explanation:

Will give brainliest answer please give explanation


If this block dropped into 23.0mL of water, what will the new volume be?

Answers

The information for volume of the block is missing.

Volume of block X 1ml/1cm^3 = x mL

23.0 mL + x = final answer mL

Dale hikes up a mountain trail at 2 mph. Because Dale hikes at 4 mph downhill, the trip down the mountain takes 30 minutes less time than the trip up, even though the downward trail is 3 miles longer. How many mile did Dale hike in all?

Answers

Answer:

13 miles

Step-by-step explanation:

He hikes 4 mph downhill and it takes 30 minutes or 0.5 hours lesser than the trip uphill at 2 mph.

Thus, if the distance upward is x and we are told the distance downhill is 3 miles longer.

Then, since time = distance/speed, we have;

((x + 3)/4) + 0.5 = x/2

Multiply through by 4 to get;

x + 3 + (0.5 × 4) = 2x

x + 5 = 2x

2x - x = 5

x = 5 miles

Now, it means distance uphill = 5 miles and distance downhill = 5 + 3 = 8 miles

Thus, total distance covered = 8 + 5 = 13 miles

Which expression gives the best estimate of 30 percent of 61?

The answers are below:

Hurry, please!

Answers

Answer:

it would be 1/4(60)

Step-by-step explanation:

30 percent of 61 is 18.3 and 1/4 of 60 is 15 which is closest to 18.3

The angle of elevation of the top of the tower from a point on the ground is 30 degree, If the height of the tower is 40 space m e t e r s, then the distance between the tower and the point is​

Answers

Answer:

[tex]40\sqrt3\ m[/tex]

Step-by-step explanation:

Given that,

The height of the tower, h = 40 m

The angle of elevation is 30°

We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,

[tex]\tan(30)=\dfrac{h}{x}\\\\\dfrac{1}{\sqrt3}=\dfrac{40}{x}\\\\x=40\sqrt3\ m[/tex]

So, the distance between the tower and the point is equal to [tex]40\sqrt3\ m[/tex].

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answers

9514 1404 393

Answer:

(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15

Step-by-step explanation:

Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...

  (x -3) +(x -1) +(x +1) +(x +3) = -72

  4x = -72

  x = -18

The four integers are -21, -19, -17, -15.

_____

Additional comment

You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.

As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.

You work at Happy Joe's family restaurant and want to see if customer meal satisfaction and gender are related to one another. You take a sample of customers and ask them if they were satisfied with their meal and note their gender. To determine if Satisfaction and Gender are dependent, what are the appropriate hypotheses

Answers

Answer:

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

Step-by-step explanation:

Given

Parameters: Meal satisfaction and Gender

Test: If both parameters are dependent

Required

The appropriate hypotheses

To do this, we set the null hypothesis to independence of both parameters

i.e.

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

The alternate hypothesis will be the opposite, i.e. dependence of both parameters

i.e.

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

We know that 1 1 − r = [infinity] n = 0 rn has interval of convergence (−1, 1). This means the series converges for |r| < 1. Therefore, the series f(x) = 1 2 + x = [infinity] n = 0 (−1)n xn 2n + 1 will converge when − x 2 < 1. Thus, what is the interval of convergence for f(x)? (Enter your answer using interval notation.)

Answers

Answer: hello your question is poorly written attached below is the complete question

answer :

I = ( -2, 2 )

Step-by-step explanation:

Determine the internal convergence for f(x)

given that f(x) converges at  |-x/2 | < 1

I ( internal convergence for f(x) ) = ( -2, 2 )

Attached below is the detailed solution

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