What is the lateral surface area of the triangular prism below ***GIVING BRANIEST TO FIRST CORRECT ANSWER***

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

[tex]x = \sqrt[4]{64}[/tex]

x = 2.83

Answer:

its b

Step-by-step explanation:

Answer:

c i think

Step-by-step explanation:

set the denominator to equal 0

(x-7)(x+5) = 0

x = 7, x = -5

all real numbers except -5 and 7

Answer:

33.98

Step-by-step explanation:

To find the diameter of a circle when you have a circumference, all you need to do is divide the circumference by pi. (So 106.76 ÷ π)

So:

106.76 ÷ π = 33.98276344.... (irrational number)

I just cut off the rest of the numbers at the hundredth place for simplicity. Another way you could put it is:

[tex]\frac{106.76}{\pi }[/tex] which is basically saying 106.76 divided by pi.

Hope this helps and have a nice day!

Answer:

The small gear would be spinning at 7.5MPH

Answer:

try 30 1/4

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

f(x) = 2x² + 4

g(x) = x - 6

f(-5) = 2 * (-5)² + 4

= 50 + 4

= 54

g(-5) = - 5 - 6

= - 11

f(-5) - g(-5) = 54 + 11 = 65

Hope it will help you :)

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

Answer:

ok so its no, yes, no, no

Step-by-step explanation:

A number line with a closed dot at -4 is shaded to the right. Option A is correct.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Given inequality,
c – 12 ≥ –16

Add 12 on both sides
c ≥ -4

So the required number line would be as a closed dot at -4 and shaded to the right.

Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.

Learn more about number line here:

brainly.com/question/17683084

#SPJ2

Answer:

y = 1/4 x - 1/2

Step-by-step explanation:

Remark

The general equation for a line is y = mx + b

You know that m = 1/4. The problem is what do you do about (2,0)?

Solution

y = 1/4 x + b                  Let x = 2 when y = 0

0 = 1/4 * 2 + b               multiply 2 * 1/4

0 = 1/2 + b                     Subtract 1/2 from both sides

b = - 1/2

equation y = 1/4 x - 1/2

Graph

Answer:

11 inch dummy

Step-by-step explanation:

4 + 7=11

Answer:

30.93

Step-by-step explanation:

39 - 25% = 29.25

29.25 + 5.75 = 30.93

Answer:

A

Step-by-step explanation:

The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The three altitudes of a triangle are always concurrent, meaning that they meet at the same point. As a quick reminder, the altitude is the line segment that is perpendicular a side and touches the corner opposite to the side.

Answer:

36a+18

Step-by-step explanation:

20a+16a=36a

18 does not have a "like term", so just leave it.

Answer:

V = 288π [tex]unit^{3}[/tex]

Step-by-step explanation:

The volume of the sphere = [tex]\frac{4}{3}[/tex] * π * [tex]r^{3}[/tex]

V =  [tex]\frac{4}{3}[/tex] * π *[tex]6^{3}[/tex]

V = 288π [tex]unit^{3}[/tex]

(π is pi or 3.14)

Answer:

The answer is 0.60 cents

Step-by-step explanation:

1.20 ÷ 2 = .60

.60 × 2 = 1.20

.60 × 4 = 2.40

.60 × 7 = 4.20

.60 × 12 = 7.20

Answer:

A is correct

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Answer:

37% between 1989and 2009

Step-by-step explanation:

20%+17%=37%

Answer: 1) h=5d+1.5

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer:

$161.29

Step-by-step explanation:

140.25 increase 15% =

140.25 × (1 + 15%) = 140.25 × (1 + 0.15) = 161.2875

Given:

The revenue function is

[tex]R(x)=126.98x-0.5x^2[/tex]

The cost function is

[tex]C(x)=3809.40+0.7x^2[/tex]

To find:

The profit function.

Solution:

We know that, the total profit P is defined as total revenue R minus total cost​ C.

So, the profit function is

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=126.98x-0.5x^2-(3809.40+0.7x^2)[/tex]

[tex]P(x)=126.98x-0.5x^2-3809.40-0.7x^2[/tex]

[tex]P(x)=-3682.42-1.2x^2[/tex]

Therefore, the profit function is [tex]P(x)=-3682.42-1.2x^2[/tex].

Answer:

The rate of pay per hour is 10.25$ an hour

Step-by-step explanation:

61.50/6= 10.25

Answer: yrs

Step-by-step explanation: yes

Answer:

No, they aren't equal

Step-by-step explanation:

5x & 5+x

let's say x=1

5(1)=5

but 5+(1)=6

Therefore they aren't equal

Answer:

Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants

Step-by-step explanation:

Answer: $2192

Step-by-step explanation:

Answer:

25/6

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Formula- a/b = n/100

36/45 = n/100

do cross multiplication:

3600/45 = 80