Lincoln had 2 books in his backpack One book had a mass of 3 pounds , 7 ounces and the other mass of 2 pounds 10 ounces what was the total mass , in ounces of the book?

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Answer:

4056 is the correct answer I think

Step-by-step explanation:

13×13×24=4056

Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

:)

Answer:

5.32255ft

Step-by-step explanation:

A

π=89

π

Answer:

5.3

Step-by-step explanation:

The equation is A=πr²

The area is 89 so 89=πr²

89/π=r²

√89/π =r

r=5.322554

Answer:

[tex]f(6) = \frac{6 {}^{2} - 2.6 - 8}{6 {}^{2} - 14.6 + 45} = \frac{16}{ - 3} = \frac{ - 16}{3} [/tex]

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

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Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

Answer:

Perpendicular(p)=21

base(b)=20

hypotenuse(h)=29

Step-by-step explanation:

Now by using the formula:

cos A=b/h

i.e 20 by 29

Step-by-step explanation:

[tex]4 \times \frac{3}{8} [/tex]

[tex] \frac{4}{1} \times \frac{3}{8} [/tex]

=12/8

=1 4/8=

= 1 1/2

Answer:

it might be this 8.74777778 im not sure if it is tho so if im wrong then im sorry

Step-by-step explanation:

Answer: The total would be 40.53

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

In all Triangle, the sum of the interior angles =180

180-86-46=4x

4x=48

x=12

Answer:

It would be Angles GFC and EFH.

Think of it like I'm drawing a capital X. Would you consider the top and bottom parts of the X to be the same? Or would you consider the top and left parts to be the same?

The correct answer for this would be that the top and bottom parts of X are the same size. Now, remember that whenever two lines are making an X. this is because the two angles only touch each other in the center point and don't share a side.

Answer:

no solution?

Step-by-step explanation:

Answer:

M=2/3

m=1/2

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Answer:

63

Step-by-step explanation:

Mean=Sum of all values/number of observation

=53+71+89+10+87/5

=310/5

=62

It's 62

Just took test

Answer:

1.A

2.B

3.A

Step-by-step explanation:

edge 2021 yw :)

Answer:

1. a

2. b

3. a

Step-by-step explanation:

Answer:

The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

Step-by-step explanation:

The correct statement is; The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

IQR(interquartile range)  is the difference between third and first quartile.

[tex]IQR = Q_3 -Q_1[/tex]

The lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

The third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

From the given plots, we have:

Republican

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 356 - 170.5

IQR = 185.5

Democratic

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 367.5 - 181

IQR = 186.5

Hence, The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

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Answer:

x = 13/12

Step-by-step explanation:

explain on image

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.