find m<1
33°
28°
42°
47°

Find M&lt;133284247

Answers

Answer 1

Answer:

it's answer is 33°

Step-by-step explanation:

116° + 31° + m<1 = 180° [being sum of angles of triangle ]

147° + m< 1 = 180°

m<1 = 180° - 147°

m<1 = 33°

\(hope \: i t \: will \: help \)


Related Questions

A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.

Answers

Answer:

The parachute descended 112 feet

Step-by-step explanation:

Slope intercept of (-2,2) (0,-2)

Answers

Answer:

-4/2

Step-by-step explanation:

URGENT! PLEASE HELP!!!!! MATH PROBLEM!!!!

THANK YOU!!!!! :)

URGENT! PLEASE HELP!!!!! MATH PROBLEM!!!!THANK YOU!!!!! :)

Answers

Multiply length added per day by number of days and add that to the starting length:


Equation: L = 4D + 56


replace d with number of days and solve:

L = 4(34) + 56

L = 136 + 56

L = 192 miles


A 10-sided die numbered 1 to 10 is rolled once. Find these probabilities.
A. Pr(8)
B. Pr(odd)
C. Pr(even)
D. Pr(less than 6)
E. Pr(prime) (remember that 1 is not prime)
F. Pr(3 or 8)
G. Pr(8, 9 or 10)
H. Pr(greater than 9)

^please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?
^and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you

Answers

Answer:

A. Pr(8)   = 1/10

B.  Pr(odd)  = 1/2

C.  Pr(even)  = 1/2

D. Pr(less than 6)  = 1/2

E.  Pr(prime) = 2/5

F. Pr(3 or 8)  = 1 / 5

G. Pr(8, 9 or 10) = 3/10

H. Pr(greater than 9)  = P(10) = 1/10

Step-by-step explanation:

We assume a FAIR 10-faced die, meaning there is an equal probability of throwing any one of the ten numbers.

With 10 possible outcomes each with equal probability, the probability of throwing any number is 1/10.

(It is preferable to work with fractions in probability because fractions are exact numbers, while decimals can often be rounded, or truncated).

A. Pr(8)   means probability of throwing an 8,  therefore Pr(8) = 1/10

B. Pr(odd)  there are 5 odd number from 1 to 10, so Pr(odd) = 5/10 = 1/2

C. Pr(even)  there are 5 even number from 1 to 10, so Pr(even) = 5/10 = 1/2

D. Pr(less than 6)  there are 5 numbers less than 6 (between1 to 10),

       so Pr(less than 6) = 5/10 = 1/2

E. Pr(prime) (remember that 1 is not prime)

   A prime number is an integer not divisible by any number except one and itself.

   Between 1 to 10, the four prime numbers are 2,3,5,7

   therefore Pr(prime) = 4/10 = 2/5

F. Pr(3 or 8)  

(3 or 8) make 2 successful outcomes out of 10, so Pr(3 or 8) = 2/10 = 1 / 5

G. Pr(8, 9 or 10)

similarly, (8,9 or 10) make three successful possible outcomes out of 10, so

P(8,9 or 10) = 3/10

H. Pr(greater than 9)

there is only one successful outcome, namely "10" out of 10 possible outcomes.  So

P(greater than 9) = P(10) = 1/10

1. please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?

A die is singular for dice, which can take up any number of faces.  With a 10-faced solid, we can make a 10-faced die numbered 1 to 10.

2. and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you

See solutions above.

Answer:

Remember that standard probabilities are defined as the ratio between the number of favorable cases, and the total number of possible events.

In this case, we have a 10-sided die, which means its faces are numbered from 1 to 10, which gives us 10 total number of possible events. In other words, the denominator of the ratio is going to be 10.

Now we're able to find each probability.

(A) Probability of getting an 8:

\(P_{8} =\frac{1}{10}=0.10\)

The numerator is 1 because there's only one number 8 in the die, that means the number of favorable cases is 1, and, as we said before, the total number of possible events is 10.

(B) Probability of getting an odd number:

\(P_{odd} =\frac{5}{10}=0.5\)

The numerator is 5 because there are 5 odd numbers from 1 to 10. In other words, there are 5 favorable cases to this probability.

(C) Probability of getting an even number:

\(P_{even}=\frac{5}{10}=0.5\)

There are 5 even numbers from 1 to 10, that's why we had the same probability.

(D) Probability of getting a number less than 6:

We know that there are only 5 numbers less than 6 for this die.

\(P_{<6}=\frac{5}{10}=0.5\)

(E) Probability of getting a prime number:

A prime number is such that it can be divided only by itself and the unit. So, there are four prime numbers from 1 to 10, which are 2, 3, 5, 7.

\(P_{prime}=\frac{4}{10}=0.4\)

(F) Probability of getting 3 or 8:

When we are going to find the probability of an event "or" another, we must sum those favorable cases.

\(P_{3 \ or \ 8} =\frac{1+1}{10}=\frac{2}{10}=0.2\)

(G) Probability of getting 8, 9, or 10:

In this case, we need to some all three favorable cases. The die has only one 8, one 9 and one 10. So, the probability is

\(P_{8,9,10}=\frac{1+1+1}{10}=\frac{3}{10} =0.3\)

(H) Probability of getting a number greater than 9:

We know that there's only one number greater than 10 on such die.

\(P_{>10}=\frac{1}{10}=0.1\)

Lastly, "die" refers to this special 10-sided dice. In other problems, you can find "a die" with more faces even. But, in general, "die" refers to a dice.

Daniel rode his bike for 6 hours and he jogged for 8 hours during the past 2 weeks. If he continues biking and jogging at the same rate, how many hours will he ride his bike and jog in 24 weeks?

A. 168 hours
B. 336 hours
C. 192 hours
D. 14 hours 8 hours 6 Hours 2 weeks​

Answers

Answer:

B. 336 hour's

Step-by-step explanation:

sana nakatulong :-)

Answer:

168hours

Step-by-step explanation:

2weeks=6+8=14

1 week=7

24×7=168

In the figure below, there are three right triangles. Complete the following.

In the figure below, there are three right triangles. Complete the following.

Answers

The similarity statement of the similar triangle is ΔLMJ ~ ΔLMK ~ Δ LKJ.

The proportion is as follows:

MJ / LJ = LJ / KJ

KJ / KL = KL / KM

How to find the side of similar triangle?

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

In other words, similar triangle has the side a ratio of each other and the angles are congruent to each other.

Therefore, let's write the similarity statements of the triangles.

ΔLMJ ~ ΔLMK ~ Δ LKJ

Therefore, the proportion is as follows:

MJ / LJ = LJ / KJ

KJ / KL = KL / KM

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The picture below is an example of which transformation? ​

The picture below is an example of which transformation?

Answers

Answer:answer....

Step-by-step explanation:how does it feel

Which equation represents a line which is parallel to the line
y =-4/3x-7?

Which equation represents a line which is parallel to the line y =-4/3x-7?

Answers

The equation 4x + 3y = -18 is parallel to the given line since they have the same slope.

Equation of a line

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the equation below

y =-4/3x-7

The slope of the line is -4/3.

In order to determine the equation that represents a line which is parallel to the line, we need to determine the line that has a slope of -4/3

For the equation 4x + 3y = -18:

3y = -4x - 18

Divide through by 3 to have:

3y/3 = -4x/3 - 18/3

y = -4/3 x - 6

Since the slope of the line is -4/3, hence the equation 4x + 3y = -18 is parallel to the given line.

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(1 point) some shrubs have the useful ability to resprout from their roots after their tops are destroyed. fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. one study of resprouting took place in a dry area of mexico. the investigation clipped the tops of samples of several species of shrubs. in some cases, they also applied a propane torch to the stumps to simulate a fire. of 14 specimens of a particular species, 6 resprouted after fire. estimate with 95% confidence the proportion of all shrubs of this species that will resprout after fire.

Answers

With a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

What is a confidence interval?

An area surrounding a measurement that indicates how accurate it is called a confidence interval.

Here, we have

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means the probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 14

x = 6

p = 6/14 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail.

Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 2.05. Thus, Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval is

0.42 ± 1.96√(0.58)(0.42)/14

The lower limit of the confidence interval is

0.42 - 0.25 = 0.17

The upper limit of the confidence interval is

0.42 + 0.25 = 0.67

Hence, with a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

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One sheet of aluminum is 0.229 incg thick. How thick is a stack of 31 sheets if aluminum?​​

Answers


The stack of 31 sheets of aluminum will be approximately 7.099 inches thick.



- One sheet of aluminum is 0.229 inches thick.
- To find the thickness of a stack of sheets, we need to multiply the thickness of one sheet by the number of sheets.
- So, to find the thickness of 31 sheets of aluminum, we need to multiply 0.229 inches by 31.
- 0.229 x 31 = 7.099 inches.
- Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.



To determine the thickness of a stack of 31 sheets of aluminum, we need to consider the thickness of one sheet and then multiply it by the number of sheets in the stack.

Firstly, we are given that one sheet of aluminum is 0.229 inches thick. This means that if we were to measure the thickness of one sheet using a ruler or calipers, we would get a reading of 0.229 inches.

Next, we need to find the thickness of 31 sheets of aluminum. To do this, we need to multiply the thickness of one sheet by the number of sheets. This can be expressed as:

Thickness of stack = Thickness of one sheet x Number of sheets

Substituting the values we have:

Thickness of stack = 0.229 x 31

Multiplying these two values gives us:

Thickness of stack = 7.099 inches

Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.

In conclusion, we can determine the thickness of a stack of sheets by multiplying the thickness of one sheet by the number of sheets. In this case, we were given the thickness of one sheet of aluminum and the number of sheets in the stack, which allowed us to calculate the thickness of the entire stack.

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what is the degree measure of one central angle of a regular octagon?

Answers

In this case the answer is very simple. .

Regular octagon:

central angle = 45

360 / 8 = 45

That is the answer.

what is the degree measure of one central angle of a regular octagon?

The tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100

Answers

Answer:

(1) For x = –12, g (x) = -9

   For x = –9, g (x) = -3

   For x = –6, g (x) = 3

   For x = –3, g (x) = 9

(2) The principal amount of money is $80.

Step-by-step explanation:

(1)

The expression of g (x) is,

\(g(x)=2x+15\)

The complete table is:

x                    g (x)

-15        \(2(-15)+15=-15\)

-12        \(2(-12)+15=-9\)

-9         \(2(-9)+15=-3\)

-6         \(2(-6)+15=3\)

-3         \(2(-3)+15=9\)

0         \(2(0)+15=15\)

(2)

The formula for simple interest is:

\(I=P\times r\times t\)

Given:

I = $40

r = 10%

t = 5 years.

Compute the value of P as follows:

\(I=P\times r\times t\)

\(P=\frac{I}{r\times t}\)

   \(=\frac{40}{0.10\times 5}\\\\=80\)

Thus, the principal amount of money is $80.

Answer:

80

Step-by-step explanation:

Consider this code: begin main int y=1; int x=1; printline(x ); end main what will this code print?

Answers

This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.

Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.

Since the value of 'x' is '1', the code will print '1' as the output.

In summary, the code will print the value of the variable 'x', which is '1'.

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Which inequality is true?
A. 5π > 15
B. π+9<12
C. 6/2m > 1
D. 47-2<10

Which inequality is true?A. 5 &gt; 15B. +9&lt;12C. 6/2m &gt; 1D. 47-2&lt;10

Answers

Answer: A

Step-by-step explanation:

\(\pi > 3 \implies 5\pi > 15\)

Colleen compared the ratios 3:8 and One-half. Her work is shown below.


Write the ratios as fractions: Three-eighths and One-half

The common denominator is 8.

Write each fraction using the common denominator: Three-eighths and One-eighth

Compare the numerators: 3 > 1

Write the correct statement: Three-eighths > One-half


Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8.

B. The numerators are compared incorrectly.

C. The fraction One-half should have been rewritten as 6 Over 8

D. The fraction One-half should have been rewritten as 4 Over 8

Answers

Answer: d

Step-by-step explanation: just took the test

the daily revenue at a university snack bar has been recorded for the past five years. records indicate that the mean daily revenue is $2500 and the standard deviation is $300. suppose that 100 days are randomly selected. what is the probability that the average daily revenue of the sample is between $2450 and $2460?

Answers

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is approximately 0.0443 or 4.43%.

The distribution of the sample means of size n = 100 from a population with mean μ = $2500 and standard deviation σ = $300 can be approximated by a normal distribution with mean = μ = $2500 and standard deviation = σ/√n = $300/√100 = $30.

Thus, we need to find the probability that the sample mean falls between $2450 and $2460.

Z-score for $2450:

z = (2450 - 2500) / 30 = -1.67

Z-score for $2460:

z = (2460 - 2500) / 30 = -1.33

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores:

P(z < -1.67) = 0.0475

P(z < -1.33) = 0.0918

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is:

P(-1.67 < z < -1.33) = P(z < -1.33) - P(z < -1.67)

= 0.0918 - 0.0475

= 0.0443

So, the probability is approximately 0.0443 or 4.43%.

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How many members did not vote there is 75% and 60 people?

Answers

Answer:

15

Step-by-step explanation:

if 75% voted that is 45 people meaning 15 did not vote.

what’s the leading coefficient of 2x^3 - 2x^2 - x + 14?

Answers

Answer:

2

Step-by-step explanation:

Does anyone know this?

Does anyone know this?

Answers

Answer:

I can tell you the points

(6 , 11) and (-7 , -11)

Step-by-step explanation:

A stack of boards is 24 inches high. Each board is 38 of an inch thick. How many boards are in the stack? 10 points pls help this is a math test

Answers

There are 64 boards in the stack.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

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Maribel deposited $1,500 in a new account at her bank. -The bank pays 4.5% annual simple interest on this account. -Maribel did not make any additional deposits or withdrawals. What is the balance of the account at the end of five years?

Answers

Answer:

1500+337.50 = $1,837.5

Step-by-step explanation:

You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $1500.00.

r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:

The interest is: $337.50

a man in a plane is looking down at a building below. if the man is 40,000 feet away from the building and the altitude of the man is 33,000 feel what is the angle of depression from the man to the building below

Answers

The angle of depression from the man to the building below is approximately 39.81°.

To find the angle of depression from the man to the building below, we'll use the tangent function and the given information.

Given:
- The man is 40,000 feet away from the building horizontally.
- The man's altitude is 33,000 feet.

Step 1: Identify the opposite and adjacent sides in relation to the angle of depression.
- The opposite side is the altitude (33,000 feet).
- The adjacent side is the horizontal distance (40,000 feet).

Step 2: Use the tangent function to find the angle of depression.
tan(angle) = opposite/adjacent
tan(angle) = 33,000/40,000

Step 3: Find the inverse tangent of the ratio to get the angle.
angle = arctan(33,000/40,000)

Step 4: Calculate the angle.
angle ≈ 39.81°

The angle of depression from the man to the building below is approximately 39.81°.

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2) Slove the equation .2x + 1.2 = .5x

Answers

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Answers

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle



1. You plant a garden. The dimensions of the garden are 10ft by 15ft. Your neighbor decides to plant a garden

that doubles the dimensions of your garden. You spent $30 on landscape timbers around your garden and $45

to cover it with mulch.

$60

1)

a.

a. How much does it cost your neighbor to put

landscape timbers around their garden?

590

b.

b. How much does it cost your neighbor to

mulch their garden?

2. OfficeMax prints a poster that is 3ft by 5ft. It costs $10 to print the poster and an additional $3 to print a border

around the poster.

$13.3

$9[

2)

a.

a.

How much would it cost to print a border around by 15

a poster with dimensions that are three times larger?

b. How much would it cost to print a poster (no border)

that has dimensions three times larger?

10.3

100 150

b.




BRAINLIEST

Answers

For the first problem, the cost for the neighbor to put landscape timbers around their garden would be $120, and the cost to mulch their garden would be $180. For the second problem, it would cost $39 to print a border around a poster with dimensions three times larger and $30 to print a poster with dimensions three times larger (no border).

1a. The dimensions of the neighbor's garden are 20ft by 30ft (doubled dimensions of your garden). The perimeter of the garden is 100ft. Since you spent $30 on landscape timbers around your garden, the cost of the neighbor's garden would be $30 * 2 = $60.

1b. The area of the neighbor's garden is 20ft x 30ft = 600 sq ft. Since you spent $45 to cover your garden with mulch, the cost of the neighbor's garden would be $45 * 4 = $180.

2a. The dimensions of the poster are multiplied by three, so the new dimensions are 9ft by 15ft. The perimeter of the poster is 48ft. The cost of printing the border would be $3 * 16 = $48. The total cost of printing the poster with the border would be $10 + $48 = $58.

2b. The area of the new poster is 27 times the area of the original poster. Since it costs $10 to print the original poster, the cost of printing the new poster would be $10 * 27 = $270.

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I will give brainliest

I will give brainliest

Answers

Answer:

Garage A- 3x12+10=46

Garage B- 4x12+3=51

Garage A is $5 cheaper than Garage B when parking for 12 hours

Step-by-step explanation:

You plug in the variables given to each garage into y=mx+b. Both Garage A and B have a constant (A-$10, B-$3). X in this equation would be the number of hours and m is the amount charged per hour.

The subscription rates in the United States and Canada for a civil engineering magazine are 1 year, $7.50;2 years, $12.00;3 years, $16.00; and 5 years, $22.00. Compute the rate of return on the investment for purchasers of: a) 2-year subscriptions b) 3-year subscriptions c) 5-year subscriptions.

Answers

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

To compute the rate of return on the investment for purchasers of different subscription lengths, we need to calculate the average annual cost of each subscription option.

a) 2-year subscriptions:

The cost of a 2-year subscription is $12.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $12.00 / 2 = $6.00

b) 3-year subscriptions:

The cost of a 3-year subscription is $16.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $16.00 / 3 = $5.33 (rounded to two decimal places)

c) 5-year subscriptions:

The cost of a 5-year subscription is $22.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $22.00 / 5 = $4.40

Now, to calculate the rate of return on the investment, we need to compare the average annual cost to the regular 1-year subscription rate of $7.50.

a) For 2-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $6.00 / $7.50) * 100% ≈ 20%

b) For 3-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $5.33 / $7.50) * 100% ≈ 29.56%

c) For 5-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $4.40 / $7.50) * 100% ≈ 41.33%

Therefore, the rate of return on the investment for purchasers of:

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

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if a watch loses 30 seconds every 1 hour .if the watch was set right on sunday at 11:30pm what time did it show after 10hrs

Answers

Answer:

9:25

Step-by-step explanation:

Answer:

9:25 am

Step-by-step explanation:

losing 30 seconds every hour would be the same as losing one minute every 2 hours

since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes

instead of 9:30am it is 9:25 am

Can someone please help me quick I don’t need help with the graphing part, I just need help with stating the coordinates.

Can someone please help me quick I dont need help with the graphing part, I just need help with stating

Answers

Answer:1

Step-by-step explanation:

So you need to graph it by 2,5 2,6 2,9 and then you need to
Can someone please help me quick I dont need help with the graphing part, I just need help with stating

please PLEASE help me!!! Write an expression that can be used to produce vector r from vectors p and q. Explain how you determined that expression

please PLEASE help me!!! Write an expression that can be used to produce vector r from vectors p and

Answers

Answer:

r = p - q

Step-by-step explanation:

Write the two given vectors using i and j components.

i = unit vector in x direction

j = unit vector in y direction

p = -i - 3j

q = 3i - 4j

Now how can you combine these two vectors and get r when

r = -4i + j?

Adding p and q gives this:

p + q = -i - 3j + 3i - 4j = 2i - 7j

That is not r, so the addition of the vectors p and q does not work.

How about subtraction?

Start with -i from p and subtract 3i from q. You do get -4i which is the x-component of r.

Then start with -3j from p and subtract -4j from q. You get -3j - (-4j) = -3j + 4j = j which is the y-component of r.

That subtraction works.

p - q = -i - 3j - (3i - 4j) = -i - 3j - 3i + 4j = -4i + j which is exactly what r is.

Answer: r = p - q

Answer:

Step-by-step explanation:

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