A vehicle travels 180 miles in 4 hours. At this rate, how many miles will the vehicle travel in 6 hours?

Answer:

37% between 1989and 2009

Step-by-step explanation:

20%+17%=37%

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:

25/6

Step-by-step explanation:

Answer:

30.93

Step-by-step explanation:

39 - 25% = 29.25

29.25 + 5.75 = 30.93

Answer:

(x-3)*(x-8)

Step-by-step explanation:

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

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:

14

√

2

=

7

√

2

Step-by-step explanation:

An isosceles right triangle is a right triangle with two legs equal in length and has angles of

45

∘

−

45

∘

−

90

∘

.

By Pythagorean Theorem, we know that,

hypotenuse

c

2

=

a

2

+

a

2

,

⇒

c

=

a

√

2

where

c

is the hypotenuse and

a

is the leg.

So for an isosceles right triangle with side length

a

, the hypotenuse has a length of

a

√

2

.

Similarly, if the hypotenuse of an isosceles right triangle has length of

a

, the legs have a length of

a

√

2

or

a

√

2

2

each.

Given that the hypotenuse of the isosceles right triangle

=

14

,

⇒

the length of each leg

=

14

√

2

=

7

√

2

Check :

(

7

√

2

)

2

+

(

7

√

2

)

2

=

196

=

14

2

(OK)

The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

The triangle is an isosceles right triangle.

That means, the triangle has two equal sides.

Let, base b = height h.

The area of the triangle = 1/2 x base x height.

800 = (1/2)b²

b² = 1600

b = 40 feet.

Now, using the Pythagoras theorem,

Hypotenuse = √(1600 + 1600)

Hypotenuse = √(3200)

Hypotenuse = 40√2 feet.

Therefore, height = 40 feet and hypotenuse = 40√2 feet.

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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:

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:

36a+18

Step-by-step explanation:

20a+16a=36a

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

Answer:

11 inch dummy

Step-by-step explanation:

4 + 7=11

Answer:

The rate of pay per hour is 10.25$ an hour

Step-by-step explanation:

61.50/6= 10.25

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.

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Answer:

96

Step-by-step explanation:

The pyramid formula: A = 6(6) + 6[tex]\sqrt{x} (6/2)^2 + 4^2 + 6 \sqrt{x} (6/2)^2 + 4^2[/tex]

Solve that to get you A = 96

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:

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: 1) h=5d+1.5

Step-by-step explanation:

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:

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:

c. 10, -10

Step-by-step explanation:

10x10=100

-10x-10=100

Answer:C

Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives

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:

ok so its no, yes, no, no

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

I guessed and got it right, trust

Measure of ∠ABD = 42°

Correct option is d.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given in the figure,

ABC is right angle triangle

∠BAD = 90°

∠ABD = ?

AB = 125 ft

AD = 140 ft

tan ∠ABD = AB/AD

      ∠ABD = tan⁻¹ (125/128)

     ∠ABD = 41.76° ≈ 42°

Hence, 42° is the measure of ∠ABD.

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Answer:d = rand(20);

figure(1)

imagesc(d)

text(5, 22, sprintf('\\uparrow\nLTO'), 'HorizontalAlignment','center', 'FontWeight','bold')

Step-by-step explanation:

i know

The graph of the function is attached.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

Given the graph of function,

The graph of any exponential function is parallel to an  axis and drop and increase show the decay or growth,

since the  equation,

y = -2(3ˣ) + 5

has a negative sign the graph will go down,

y-intercept for the graph is 3,

when x = 0, y = 3

and the graph will be in the fourth quadrant.

Hence the graph will be in the fourth quadrant.

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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

Answer:

try 30 1/4

Step-by-step explanation:

Answer:

The small gear would be spinning at 7.5MPH