feeding trough is in the shape of a
right triangular prism. The triangular end
of the trough measures 3 ft across and
1
is 1 4 it deep. The feeding trough is 40
feet long. How much cattle feed can the
trough hold?

The regression line equation y = 0.502x +12.250 is a linear regression

The regression line equation is given as:

y = 0.502x +12.250

Substitute 100 for x

y = 0.502 * 100 +12.250

Evaluate the sum

y = 62.45

The regression line equation is given as:

y = 0.502x +12.250

Substitute 500 for x

y = 0.502 * 500 +12.250

Evaluate the sum

y = 263.25

It is unlikely that the speed of the roller coaster would reach 263.25

Read more about regression line equations at:

https://brainly.com/question/6774275

Answer:

see explanation

Step-by-step explanation:

a represents adults and c represents children , then the system of equations is

a + c = 35 → (1)

12a + 7c = 315 → (2)

Answer:

a + c = 35 → (1)

12a + 7c = 315 → (2)

Step-by-step explanation:

a + c = 35 → (1)

12a + 7c = 315 → (2)

Answer:

[tex]\begin{aligned}\lbrace & \; 3,\, 5,\, 6,\, 7,\, 9,\, 10, \\ &\; 11,\, 12,\, 13,\, 14,\, 15,\, 17, \\ &\; 18,\, 19,\, 20\rbrace\end{aligned}[/tex].

Step-by-step explanation:

The integer powers of [tex]2[/tex] between [tex]1[/tex] and [tex]20[/tex] are:

Thus, [tex]A = \lbrace 1,\, 2,\, 4,\, 8,\, 16 \rbrace[/tex].

The complement of set [tex]A[/tex] (denoted as [tex]A^{C}[/tex]) includes all elements of the universal set [tex]U[/tex] that are not in set [tex]A\![/tex].

For example, the element [tex]1[/tex] is in [tex]U[/tex] and is also in [tex]A[/tex]. Thus, [tex]1[/tex] isn't in [tex]A^{C}[/tex].

The element [tex]3[/tex] is in [tex]U[/tex] and isn't in [tex]A[/tex]. Thus, [tex]3[/tex] is in [tex]A^{C}[/tex].

Repeat this decision process for each element of [tex]U[/tex] to enumerate [tex]A^{C}[/tex]:

[tex]\lbrace 3,\, 5,\, 6,\, 7,\, 9,\, 10, \, 11,\, 12,\, 13,\, 14,\, 15,\, 17, \, 18,\, 19,\, 20\rbrace[/tex].

Answer:

[tex]\boxed{a=2,\:b=4}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}3a+5b=26\\ a+5b=22\end{bmatrix}[/tex]

Isolate a from 3a + 5b = 26,

[tex]a=\cfrac{26-5b}{3}[/tex]

[tex]\begin{bmatrix}\cfrac{26-5b}{3}+5b=22\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\cfrac{26+10b}{3}=22\end{bmatrix}[/tex]

Now, Isolate b for  

[tex]\cfrac{26+10b}{3}=22\:\:\boxed{b=4}[/tex]

Now, Substitute b=4

[tex]a=\cfrac{26-5\times \:4}{3}[/tex]

[tex]\cfrac{26-5\times \:4}{3}\:\:\boxed{a=2}[/tex]

[tex]\boxed{a=2,\:b=4}[/tex]

~

Answer:

220.35

Step-by-step explanation:

Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12

The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.

Add the products for the whole area.

Answer:

Answer is A

Step-by-step explanation:

X is below -3

Answer:

x>3=2>3

Step-by-step explanation:

Answer:

r = 7

Step-by-step explanation:

Calculate the slope using the slope formula then equate to - [tex]\frac{1}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, r ) and (x₂, y₂ ) = (2, 5 )

m = [tex]\frac{5-r}{2-(-6)}[/tex] = [tex]\frac{5-r}{2+6}[/tex] = [tex]\frac{5-r}{8}[/tex] , then

[tex]\frac{5-r}{8}[/tex] = - [tex]\frac{1}{4}[/tex] ( multiply both sides by 8 to clear the fractions )

5 - r = - 2 ( subtract 5 from both sides )

- r = - 7 ( multiply both sides by - 1 )

r = 7

Answer:

[tex]\displaystyle 7[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\\ \\ \frac{-r + 5}{6 + 2} = m \Rightarrow \frac{-r + 5}{8} \hookrightarrow -\frac{2}{8} = -\frac{1}{4} \\ \\ \boxed{7 = r}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

[tex]x + 10 = 20\\x = 20 - 10\\x = 10[/tex]

Answer:

10

Step-by-step explanation:

x+10=20

x=20-10

=10

Answer:

HCF of 49 and 84 is 7.

Step-by-step explanation:

mark me brainliest

Answer:

Step-by-step explanation:

Like a lot of algebraic manipulation associated with average rate of change, it is not difficult, but it can be tedious.

  [tex]f(x+h)=2(x+h)^2-(x+h) +2 = 2(x^2 +2xh +h^2)-x -h +2\\\\\boxed{f(x+h)=2x^2-x+2+4xh-h+2h^2}[/tex]

__

Then the difference quotient is ...

  [tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(2x^2-x+2)+4xh-h+2h^2-(2x^2-x+2)}{h}\\\\=\dfrac{4xh-h+2h^2}{h}\\\\\boxed{\dfrac{f(x+h)-f(x)}{h}=4x-1+2h}[/tex]

Answer:

[tex]y = - 2x - 7[/tex]

Step-by-step explanation:

One way is to differentiate the function

[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]

Use Power Rule

[tex]2x - 0[/tex]

[tex]2x[/tex]

P

[tex] - 2[/tex]

Plug in -1 so we get

That gives us the slope of the tangent line. we must find the point it passes through.

[tex]( - 1) {}^{2} - 6 = - 5[/tex]

So it have a slope of -2 and passes through (-1,-5)

So we use point slope form

[tex]y + 5 = - 2(x + 1)[/tex]

[tex]y = - 2x - 7[/tex]

Answer:

b³

Step-by-step explanation:

The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:

Thus, the answer is b³

what is bird flu? when was it first detected among human?

Answer:

28

Step-by-step explanation:

3/10 x X= 12

X=12/(3/10)

X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28

Answer:

$49.55

Step-by-step explanation:

She earns $5.25 every week for 12 weeks, so we multiply her weekly income by 12.

$5.25 * 12 = $63.00

Then she spends $13.45, so we deduct that from her earnings.

$63.00 - $5.25 = $49.55

That shows us that she has $49.55 left.

Expand the left side:

(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2

Then a = 15 and b = 13, so a - b = 2.

Answer:

14 cubic units

Step-by-step explanation:

The Formula for Volume is

V = L x W x H

Since there are 2, you need to add the two totals together.

Cubic one:

4 x 1 x 2  =  8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)

Cubic Two:

1 x 3 x 2 = 6

Now just add the totals together:

6 + 8 = 14

Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:

The volume of the solid will be equal to the sum of volume of given two cuboid

For 1st cuboid :

Therefore, Volume:

➝ V = l × w × h

➝ V = 4 × 2 × 1

➝ V = 8 unit³

For 2nd cuboid:

Therefore, Volume:

➝ V = l × w × h

➝ V = 1 × 2 × 3

➝ V = 6 unit ³

Now, Volume of solid :

‎ㅤ‎ㅤ‎ㅤ➙ sum of V of cuboid

‎ㅤ‎ㅤ‎ㅤ➙ 8 + 6

‎ㅤ‎ㅤ‎ㅤ➙ 14 unit ³

Answer:

Area of rectangle is L*B

Lm *Bm

L*Bm²

Answer:

204

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

Given the following question:

[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]

In order to solve we will convert the mixed numbers into improper fractions and then solve by multiplying the numerators by the numerators and multiplying the denominators by the denominators.

[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
[tex]10\frac{2}{3} \times3[/tex]
[tex]10\frac{2}{3} =3\times10=30+2=32=\frac{32}{3}[/tex]

[tex]3=\frac{3}{1}[/tex]

[tex]\frac{32}{3} \times\frac{3}{1}[/tex]
[tex]32\times3=96[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{96}{3}[/tex]

[tex]\frac{96}{3}\times6\frac{3}{8}[/tex]
[tex]6\frac{3}{8} =8\times6=48+3=51=\frac{51}{8}[/tex]
[tex]\frac{96}{3}\times\frac{51}{8}[/tex]
[tex]96\times51=4896[/tex]
[tex]3\times8=24[/tex]
[tex]=\frac{4986}{24}[/tex]

Simplify by reducing:
[tex]=\frac{4986}{24}\div2=\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}[/tex]
[tex]\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}=2493\div12=204[/tex]
[tex]=204[/tex]

Your answer is indeed "204."

Hope this helps.

Answer:

Less than $833.33 per month or greater than $2666.67

Step-by-step explanation:

→ Divide both figures by 12

32000 ÷ 12 = 2666.67

10000 ÷ 12 = 833.33

Step by step explanation:

Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.

sorry if wrong

I hope this helps

Answer:

The average rate of change is 20.

Step-by-step explanation:

To find the answer, plug in the 2 and 5 for x.

g(2) = 2(2)^2 - 8(2)

g(2) = 16 - 16

g(2) = 0

g(5) = 2(5)^2 - 8(5)

g(5) = 100 - 40

g(5) = 60

g(5)-g(2)/5-2 = the average rate of change

60/3=20

Answer:

7/9

Step-by-step explanation:

If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.

The probability that the marble will not be blue is 28/36. This can be simplified to 7/9

Hope this helps!

Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.

Solution:

Step-1: Use point slope form.

Step-2: Identify the equation of the line.

Option B is correct.

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-4=3(x-2)[/tex]

[tex]\\ \rm\Rrightarrow y-4=3x-6[/tex]

[tex]\\ \rm\Rrightarrow 3x-y-6+4=0[/tex]

[tex]\\ \rm\Rrightarrow 3x-y-2=0[/tex]

Answer:

40 dollar

Step-by-step explanation:

half of 80 is 40

Answer:

40$

Step-by-step explanation:

sale price(S.P.)=discount% of M.P.(marked price)

S.P.=50% of 80$

S.P=50/100*80$

Hence,S.P.(selling price)=0.5*80$=40$

Answer:

  72

Step-by-step explanation:

The given word description can be translated to math symbols this way, when x represents the number:

  3/4x -3/16x = 81

Multiplying by 16 gives ...

  12x -3x = 1296

  9x = 1296 . . . . . . simplify

We want to find the value of half the number, so we can divide this by 18 to get ...

  x/2 = 1296/18 = 72

Half the number is 72.

Answer:

It's 1/9

Step-by-step explanation:

Multiply 2/3 x 3/3 to equal the denominator with the 7/9 and the ?/9. 2/3 turns into 6/9. 7/9 - 6/9 is 1/9.

The answer is 1/9