Kent has a board which is 3-3/4 inches long. Darren has a board which is 2/3 as long. how long is Darren's board

Answer: just multiple the numerator and denominator by the same number

Step-by-step explanation:

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

Answer:

Mean: 10.3

Median: 12

Mode: 13

Range: 15

Step-by-step explanation:

First, let's define what all these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a range whenever the numbers are put in ascending order. If there are two numbers in the middle instead of one, then take the average of those two numbers. Mode is the number that occurs the most in the set of data. Range is the difference between the largest and the smallest number in a set of data.

To make things a little easier overall, let's just go ahead and put all our numbers in ascending order, which will be as follows: 1, 6, 7, 7, 11, 13, 13, 13, 16, 16.

To find the mean, just add up all the numbers and divide by how many there are. So we'll add 1 + 6 + 7 + 7... and so on to get a total of 103. Next, we'll divide that number by 10 since there are 10 students. This gives us a mean of 10.3.

Next, we'll find the median. To find this, just figure out which number(s) is in the center of your data. Since we have an even number of terms (10), we'll have two numbers in the middle, being 11 and 13. To find our median from here, just add 11 and 13 and then divide by 2. 11 + 13 = 24 and then 24 / 2 = 12. This means that our median is 12.

Next, we'll find the mode. The mode is the number that is seen the most in a set of numbers. In our set, we see that there are three 13s. Since 13 is the most frequently used number in our set, this makes it the mode.

Finally, we'll find the range. The range is just the largest number in the set minus the smallest number in the set. In our set, 16 is our largest number and 1 is our smallest. Just do 16 - 1 = 15 and we'll see that 15 is the range of the set. Hope this helps!

Answer: 11a+4b+3

Step-by-step explanation: 4(5a+b)−9a+3

(4)(5a)+(4)(b)+−9a+3

20a+4b+−9a+3

(20a+−9a)+(4b)+(3)

11a+4b+3

Answer:

x is greater than or equal to -8

Step-by-step explanation:

35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

Answer:

-6p+9q

Step-by-step explanation:

Multiply -3 with 2p and multiply -3 with 3q.

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

Answer:

No.

Step-by-step explanation:

-2(3)-5=-6-5=-11

-2(3)-2(-5)=-6+10=4, not -4.

Answer:

The slope is 3/2 or 1.5

Step-by-step explanation:

The slope is Rise/Run.

The difference in y-values, –1 -(-4) =3 is the rise.

the difference in x-values, 3 –1 = 2 is the run.

Answer:

200 + 28= 228

..................

The values of the numbers in the boxes is 57 x 4 = 200 + 28 = 228

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be represented as p

where the value of p = 57

Let the second number be represented as q

where the value of q = 4

And , A = 57 x 4

where the blank spaces in the boxes are by distributive property and

A = 57 x 4

( 50 + 7 ) 4 = ( 50 x 4 ) + ( 7 x 4 )

On simplifying the equation , we get

A = 200 + 28

A = 228

Therefore , the value of A is 228

Hence , the expression is A = 228

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Answer:

0.006

Step-by-step explanation:

Answer:

0.006 inches of rain

Hope that helps

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

Answer:

1:1.5

Step-by-step explanation:

i dont know if thats the answer u want but ye

Answer:

Mean: 12.857

Median: 13

Mode: 15

Range: 9

Step-by-step explanation:

First, let's define what each of these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a set of data after being put in ascending order. Mode is the number most frequently seen in a set of data. Range is the difference between the largest and the smallest number in a set of data.

First, let's go ahead and put all our terms in ascending order. It'll look like this: 8, 10, 12, 13, 15, 15, 17.

To find our mean, we'll add up all the terms and divide them by how many there are. First, we'll add up 8 + 10 + 12... and so on for a total of 90. Next, we'll divide 90 by 7 since there are 7 different terms in our set. 90 / 7 should roughly give you a mean of 12.857, but you can round it as needed.

Next, we'll find the median. The median is the number that is in the exact middle of a set once the terms are put in ascending order. Since, we put our terms in order already, we can see that the number in the middle of our set is 13, and I underlined it in the set to give you a visual!

Next, we'll find the mode. The mode is the number most frequently seen in our set of data. Since 15 is listed the most frequently (twice) it is our mode!

Finally, we'll find the range. The range is just the biggest number minus the smallest number. Our biggest number here is 17, and our smallest number here is 8. Just do 17 - 8 for a range of 9. Let me know if you have any other questions!

Answer:

-3(3+20w)

Step-by-step explanation:

Factor the expression

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Answer:

[tex](6 * n + 3)^{3}[/tex] - 12

Step-by-step explanation:

Twelve less than the cube of the sum of six times a number and three.

1. Change the words into numbers and math symbols.

Twelve = 12

Less than = subtract -

sum of six times a number and three = (6 * n + 3)

cube = exponent 3

2. Write the problem.

[tex](6 * n + 3)^{3}[/tex] - 12

Answer:

19

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342