What is the value of x
What is the value of x?

Answer:

Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]

Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]

Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]

Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]

Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]

Step-by-step explanation:

we know that

Angle [tex]\theta[/tex] lie on Quadrant I

so

[tex]sin(\theta)[/tex] is positive

[tex]cos(\theta)[/tex] is positive

[tex]tan(\theta)[/tex] is positive

[tex]cot(\theta)[/tex] is positive

[tex]sec(\theta)[/tex] is positive

[tex]csc(\theta)[/tex] is positive

step 1

Find the value of  [tex]cos(\theta)[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

we know that

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

substitute

[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]

[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]

[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]

[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

step 2

Find the value of [tex]tan(\theta)[/tex]

we know that

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

substitute

[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]

[tex]tan(\theta)=\frac{84}{13}[/tex]

step 3

Find the value of [tex]cot(\theta)[/tex]

we know that

[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]

we have

[tex]tan(\theta)=\frac{84}{13}[/tex]

therefore

[tex]cot(\theta)=\frac{13}{84}[/tex]

step 4

Find the value of [tex]sec(\theta)[/tex]

we know that

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

we have

[tex]cos(\theta)=(\frac{13}{85})[/tex]

therefore

[tex]sec(\theta)=\frac{85}{13}[/tex]

step 5

Find the value of [tex]csc(\theta)[/tex]

we know that

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

therefore

[tex]csc(\theta)=\frac{85}{84}[/tex]

Answer:

16

Step-by-step explanation:

20-4=16

pls give brainliest

C: 16√2 is the best choice for your question since 82/3 = about 27 and 16√2 = about 27 too, meaning that the answer that got rounded is C.

Hope this helped!

Nate

The value of n in the equation is 1

Step-by-step explanation:

The equation is [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -9 + 4(2n + 1)

At first we must do that:

1. Open the brackets in both sides

2. Add like terms

3. Solve to find n

L.H.S:

∵ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n - 2 + 6

∴ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n + 4

R.H.S:

∵ -9 + 4(2n + 1) = -9 + 8n + 4

∴ -9 + 4(2n + 1) = 8n - 5

∴ -n + 4 = 8n - 5

- Add 5 to both sides

∴ -n + 9 = 8n

- Add n to both sides

∴ 9 = 9n

- Divide both sides by 9

∴ n = 1

The value of n in the equation is 1

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ANSWER : The number one

Step-by-step explanation:

got it right

To find the percentage of faculty with 5 or more years of service, count the faculty with 5 or more years on the histogram, divide by the total faculty and multiply by 100.

The task requires calculating the percentage of English department faculty with 5 or more years of service based on the data presented in the histogram.

Percentages

are calculated by dividing the part by the whole and multiplying by 100. We need to find the number of faculty members (y-axis) corresponding to service years of 5 and above (x-axis) and then calculate it as a percentage of the total faculty. Assume the total number of faculty is T and the number of faculty with 5 or more years of service is F, the percentage can be calculated as (F/T)*100. Please remember to count all the faculty in the histogram values starting from 5 years of service to the end. Ensure to consider these steps of data interpretation when dealing with histograms

.

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The 40% of the department faculty have 5 or more years of service.

To calculate the percentage of department faculty with 5 or more years of service, we can divide the number of faculty with 5 or more years of service by the total number of faculty and multiply by 100%.

% with 5 or more years of service = (number with 5 or more years of service) / (total number of faculty) * 100%

From the histogram, we can see that there are 10 faculty with 5 or more years of service and a total of 25 faculty in the department. Therefore, the percentage of department faculty with 5 or more years of service is:

% with 5 or more years of service = (10 faculty) / (25 faculty) * 100%

% with 5 or more years of service = 40%

Therefore, 40% of the department faculty have 5 or more years of service.

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Answer:

The answer is 8/27

The probability that all three balls that Jaime picked were red is '0.064'

Now the box contains 6 red balls, 7 yellow balls, and 2 green balls

Thus the total number of balls in the box can be find by summing up all the balls in the box

Thus we get,

Total number of balls =  6 + 7 + 2 = 15 balls

Thus there are total of 15 balls in the box

Now Jamie picks a ball from the box, records the color, then returns the ball to the box.

Thus in the first try, the probability that the ball picked up is red:

Probability that the first ball picked is red = [tex]\frac{6}{15}[/tex]

where, '6' is the number of red balls

and '15' is the number of total balls in the box

Similarly as the ball picked up is again returned to the box the number of red balls and total number of balls won't change

Similarly probability that the second ball picked is red = [tex]\frac{6}{15}[/tex]

Similarly probability that the third ball picked is red = [tex]\frac{6}{15}[/tex]

Thus to find the combined probability we need to multiply all three probabilities

Thus probability that all three balls that Jaime picked were red is,

[tex]\frac{6}{15} *\frac{6}{15} *\frac{6}{15} = \frac{36}{225}* \frac{6}{15}\\ \frac{6}{15} *\frac{6}{15} *\frac{6}{15} =\frac{216}{3375}\\ \frac{6}{15} *\frac{6}{15} *\frac{6}{15} =0.064[/tex]

Thus '0.064' is our required answer

Connor can reasonably estimate that about 2323 cars are stuck in the traffic jam.

To find about how many cars are stuck in the traffic jam, Connor can divide the total length of the traffic jam by the length of each car.

Given:

- Length of traffic jam: 5.5 miles

- Length of each car: 12.5 feet

First, let's convert the length of the traffic jam from miles to feet since the length of each car is given in feet.

1 mile = 5280 feet

So, the length of the traffic jam in feet is:

[tex]\[ 5.5 \text{ miles} \times 5280 \text{ feet/mile} = 29040 \text{ feet} \][/tex]

Now, Connor can divide the total length of the traffic jam by the length of each car to find about how many cars are stuck:

[tex]\[ \frac{29040 \text{ feet}}{12.5 \text{ feet/car}} \approx 2323 \text{ cars} \][/tex]

Answer:

You can!

It's 2\sqrt{3\\

Step-by-step explanation:

18 = 2*9

\sqrt{18} = 2\sqrt{3\\

It took Manuel approximately 1.07 hours longer to clean the den compared to the bathroom. This was calculated by converting the mixed numbers to improper fractions and subtracting.

In this problem, we are comparing the time it took Manuel to clean the den and bathroom. To do this, we need to subtract. Firstly, you need to convert the mixed numbers, 2 2/5 hours and 1 1/3 hours, into improper fractions for ease. This would be 12/5 hours and 4/3 hours respectively. Now we subtract 4/3 from 12/5. You can use the least common denominator (LCD) to make this easier: 12/5 (which is 2.4 in decimal) minus 4/3 (which is 1.33 in decimal) equals approximately 1.07 hours. It means Manuel took 1.07 hours(approximately) longer to clean the den compared to the bathroom.

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Answer:

x=3

Step-by-step explanation:

Answer: The answer is -8640.

Step-by-step explanation:You would first off by multiplying what's in the parenthesis by its exponent: (12)^3(1)= 1720. Then multiply 1728 by 5 so get your overall correct answer of -8640. Hope I helped you a lot and my answer is correct.!!

this will equal 86 is the anwer to question u have asked

Answer:86

Step-by-step explanation:

Step 1:Put 2,332 the (dividend) in the brackets,(in the box)

The divisor is 27 ,so it's outside of the brackets or outside of the box

Step 2:What is 232 into 27 , the reason I skipped 2 and 3 because there smaller than 27. 232 into 27 is 8 because it's closest to 232 which is 216 because 27*8 equals 216.  8 is now on top of the bracket and now you subtract 232-216 which is 16.

Step 3:Bring down 2 ,because 2 is the last number left.

Now we have to figure out what goes into 162

6 goes into 162 because 27*6=162

Step 4:Subtract 162-162=0

We stop because there's no more to go into unless it was a different number than 162 then we would of brung down the 0 because there's no more numbers after 2 and the number would of been a decimal but there's no more to go into.

6 down goes above the bracket next to 8 now we have an answer of 86.

So the quotient/answer=86

Answer:

The equations that represent the reflected function are

[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]

[tex]f(x)=5(5)^{x}[/tex]

Step-by-step explanation:

The correct question in the attached figure

we have the function

[tex]f(x)=5(\frac{1}{5})^{x}[/tex]

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

[tex]f(−x) = f(x).[/tex]

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]

An equivalent form will be

[tex]f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}[/tex]

therefore

The equations that represent the reflected function are

[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]

[tex]f(x)=5(5)^{x}[/tex]

Answer:

c,d

Step-by-step explanation:

Marcie needs 30 more points. 20-30=(-10)

Answer:

first answer- zero point zero fourty nine thousdanths

Step-by-step explanation:

Answer: 15.5 or 15 1/2

Step-by-step explanation: becuz 15 3/4 - 1/4 = 15.5

To divide two fractions, multiply them by their reciprocals.

3/5 / 3/15

3/5 * 15/3

45/15

3

Answer:

9n - 8

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is common

d = 10 - 1 = 19 - 10 = 28 - 19 = 9

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 9, thus

[tex]a_{n}[/tex] = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence

[tex]a_{n}[/tex] = 9n - 8

We are required to find the nth term of the sequence 1, 10, 19, 28,....

The nth term of the sequence 1, 10, 19, 28, is 9n - 8

Given:

1, 10, 19, 28,

First term, a = 1

Common difference, d = difference between consecutive terms

10 - 1 = 9

19 - 10 = 9

28 - 19 = 9

nth term = a + (n - 1)d

nth term = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

Therefore, nth term of the sequence 1, 10, 19, 28, is 9n - 8

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Answer:

Step-by-step explanation:

-8(x + 4) -6x = -8 * x  + (-8) * 4 - 6x

                     = -8x - 32 -6x

                      = -14x -32

Answer: A

Step-by-step explanation: The expected value is over $300, so Laura will likely need more money to cover her expenses.

its not that hard

It's not reasonable for Laura to set her medical budget at $300 for the year. Considering her predicted medical expenses, her expected annual cost is $315, making her budget slightly understated.

The answer to whether Laura's medical budget of $300 for the year is reasonable or not involves a concept in probability known as expected costs. Let's consider both events: there is a 75% chance of spending $400 and a 5% chance of spending $300.

We calculate the expected cost for both scenarios:

Adding these costs, we find that her expected annual medical costs are $315, not $300. Therefore, Laura might need to reconsider her budget, possibly increasing it slightly.

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Good evening ,

______

Answer:

w=6.5in

___________________

Step-by-step explanation:

L : length

w : width

p : perimeter

38=2L+2w

38 =2(w+6)+2w

38 = 4w+12

38-12=4w

26=4w

26/4=w

w=6.5 in.

:)

Answer:

[tex]m = - 1[/tex]

Step-by-step explanation:

[tex]3m - (7m + 12) = 2(m - 3)[/tex]

simplifying bracket first

[tex]3m - 7m - 12 = 2m - 6[/tex]

[tex] - 4m - 12 = 2m - 6[/tex]

grouping like terms

[tex] - 4m - 2m = - 6 + 12[/tex]

[tex] - 6m = 6[/tex]

dividing through by -6

[tex] \frac{ - 6m}{ - 6} = \frac{6}{ - 6} [/tex]

[tex]m = - 1[/tex]

Answer:

should be 3x^3+4 because all other choices don't make sense

Answer:

B

Step-by-step explanation:

(3x^2+4)*(x+1)

(3x^2+4)*x+(3x^2+1)*1

3x^3+4x+3x^2+1

3x^3+3x^2+4x+1

Answer:

Option G. 27.4 ft

Step-by-step explanation:

step 1

Calculate the maximum number of cans of paint Kieran can buy with $45

Let

x -----> the number of cans of paint

we know that

The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45

so

[tex]9.75+17.00x \leq 45[/tex]

Solve the inequality for x

Subtract 9.75 both sides

[tex]17.00x \leq 45-9.75[/tex]

[tex]17.00x \leq 35.25[/tex]

Divide by 17 both sides

[tex]x \leq 2.07\ cans[/tex]

so

The maximum number of cans that Kieran can purchase is 2 cans

step 2

Find the maximum area covered with 2 cans of paint

we know that

One can of paint covers approximately 375 square feet

therefore

To find out the area covered with 2 cans multiply 375 by 2

[tex]375(2)=750\ ft^2[/tex]

step 3

Find the maximum possible length side of the wooden platform

we know that

The wooden platform is in the shape of a square

so

The area of a square is

[tex]A=b^{2}[/tex]

where

b is the length side of the square

we have

[tex]A=750\ ft^2[/tex]

substitute and solve for b

[tex]750=b^{2}[/tex]

square root both sides

[tex]b=27.4\ ft[/tex]

Answer:

You'd have to buy 3 shirts in order to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99

One particular brand of shirts is on sale for 20% off the original price.

$17.99*0.2= $3.60 (amount taken off for each shirt)

Now subtract $3.60 from $17.99.

$17.99 - $3.60 = $14.39 (per shirt)

40 / 14.39 = 2.779 (round to 3)

You'd have to buy 3 shirts in order to use your coupon.

$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40

Answer:

y = -2x -7

Step-by-step explanation:

Plug in and Solve.

Answer:

57/80L

Step-by-step explanation:

Given that the capacity (i.e maximum possible volume) of a pitcher is 9/10L

1st Pitcher is 3/8 full of milk

Hence Vol of milk in 1st pitcher = 9/10 x 3/8 = 27/80L

2nd Pitcher is 5/12 full of milk

Hence Vol of milk in 2nd pitcher = 9/10 x 5/12 = 3/8 = 30/80L

Total volume = 27/80 + 30/80 = 57/80L

Final answer:

Adding the milk from the two separate pitchers gives a total of 19/24 liters of milk together.

Explanation:

You are asking about a volume measurement related to liters, which indeed is a unit of capacity. One pitcher contains 3/8 of a liter of milk, and the other pitcher contains 5/12 of a liter. To find out how much milk is there altogether, we will simply add the volumes:

[tex]\(\frac{3}{8} + \frac{5}{12} = \frac{9}{24} + \frac{10}{24} = \frac{19}{24}\) liters[/tex]

To calculate this, we first find a common denominator, which is 24 (the least common multiple of 8 and 12). Then we convert each fraction to an equivalent fraction with a denominator of 24, before adding them together. So, the total amount of milk in both pitchers together is 19/24 liters.

Answer:

13/9 or 1 4/9

Step-by-step explanation:

Answer:

0.05714285714

Step-by-step explanation:

given:

2 divided 5 over 7

(2/5)/7

decimal value of 2/5 is 0.4

0.4/7=4/70=0.05714285714