Among all pairs of numbers whose sum is 100, find a pair whose product is as large as
possible. (Hint: express the product as a function of x)

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer:

8

Step-by-step explanation:

The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.

A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.

For the given situation,

The function is \(t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75\)

The temperature for months are calculated using the function t.

Here m = 1 refers January,

m = 2 refers February and so on.

Now substitute m = 1 for January,

⇒ \(t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-6) )+43.75\)

⇒ \(t=22.2\)

For February m = 2,

⇒ \(t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-5) )+43.75\)

⇒ \(t=25.08\)

For march m = 3,

⇒ \(t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-4) )+43.75\)

⇒ \(t=32.9\)

For April m = 4,

⇒ \(t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-3) )+43.75\)

⇒ \(t=43.75\)

For May m = 5,

⇒ \(t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-2) )+43.75\)

⇒ \(t=54.525\)

For June m = 6,

⇒ \(t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(-1) )+43.75\)

⇒ \(t=62.41\)

For July m = 7,

⇒ \(t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(0) )+43.75\)

⇒ \(t=65.3\)

For August m = 8,

⇒ \(t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(1) )+43.75\)

⇒ \(t=62.41\)

For September m = 9,

⇒ \(t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(2) )+43.75\)

⇒ \(t=54.525\)

For October m = 10,

⇒ \(t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(3) )+43.75\)

⇒ \(t=43.75\)

For November m = 11,

⇒ \(t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(4) )+43.75\)

⇒ \(t=32.975\)

For December m = 12,

⇒ \(t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75\)

⇒ \(t=21.55 cos(\frac{\pi }{6}(5) )+43.75\)

⇒ \(t=25.087\)

Thus from the above temperatures of each month, the temperature for three months are less than 32°F.

Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.

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Answer:

C, B, A

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

C

Step-by-step explanation:

each input has exactly one out put... brainliest plssss

Answer:

2x - 10=65-x

2x+x=65+10

3x=75

x=75/3

x=25 (1.)

2x - 10

2*25-10

50-10

40 (2.)

The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is

8363 square inches

The rate of change is the derivative, the rate of change is calculated by differentiation the area

formula for area of concentric circle is given by

Area A = π(R^2 - r^2) =

R = radius of the inner circle

r = radius of the outer circle

δA/δt = δA/δRδr * δRδr/δt

δA/δt = π * (2RδR/δt - 2rδr/δt)

δA/δt = π * 2(R * δR/δt - r * δr/δt)

where R = 44 and δR/δt = 22

r = 33 and δr/δt = -11

= 2π(44 * 22 - 33 * -11)

= 2π (968 - -363)

=  2π (1331)

= 2662π

= 8362.9196 square inches

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Answer: 10z + 6

Step-by-step explanation:

this is a short problem.. sometimes you would need to distribute, but since there is no number in front of parenthesis you can just get rid of them

that gives you: 3z + 1 +5 + 7z

now from here we combined liked terms

7z + 3z = 10z

1 + 5 = 6

so that gives you: 10z + 6

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

Answer:

2t+16

Step-by-step explanation:

this should 2t+16

because 2t contains a variable and there are no available numbers/figits that match up

and 9 +7 is 16

hope i could help

Answer:

2t +16

Step-by-step explanation:

2t + 9 + 7

Combine like terms

2t +16

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Complete Question:

The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)

Answer:

C. 5(1.06)^7

Step-by-step explanation:

The volume of a tree increases by 7% every year

The formula we would be using is

V(t) = Vo (1 + r)t

Where V(t) = Volume after t years

Vo = Present of initial volume

r = rate of increase

t = time

From the question,

V(t) = Volume after t years = unknown

Vo = Present of initial volume = 5m³

r = rate of increase = 6% = 0.06

t = time = 7 in years

V(t) = 5 × ( 1 + 0.06)^ 7

V(t) =(5)(1.06)^7

Therefore, its volume be after 7 years if its volume is 5 cubic meters now is

Option C: (5)(1.06)^7

The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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The perimeter of the triangle will be 41ft

The perimeter of a triangle is the sum of all the sides of the triangle

From the given triangle, we need to get the third sidee firse as shown:

h² = 12² + 12²

h² = 144 + 144

h² = 288

h = 17ft

Perimeter = 12 + 12 + 17

Perimeter = 41ft

Hence the perimeter of the triangle will be 41ft

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Answer: 41 ft

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

If you want to know if a plot has a correlation you have to see if the points follow a pattern, for example:

So the answer to the question will be C because as you can see the points in the graph are the most scattered and don't follow any pattern.

Answer:

C. 20

Step-by-step explanation:

1.) x + 36 = 14 + 3x + 54

2.) -2x + 36 = 14 + 54

3.) -2x + 36 = 68

4.) -2x = 32

5.) x = -16

6.) -16 + 36 = 20

Answer:

17

Step-by-step explanation:

\(6 + 12 > x\)

\(6 + x > 12 \)

From these, we have

\(6 < x < 18\)

STEP - BY - STEP EXPLANATION

What to find?

P(x=6)

Given:

n=7 p=0.3

p+q = 1

⇒q = 1- p = 1-0.3 =0.7

Step 1

Recall the formula.

Step 2

Substitute the values into the formula.

Step 3

Simplify the above.

ANSWER

0.0035721

Answer:

n-3

(-1)-3=-4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

To be honest

Step-by-step explanation:

14

Kayla flipped a quarter 200 times and got 93 heads and 107 tails. This can be attributed to random variation.'

The fact that Kayla flipped a quarter 200 times and got 93 heads and 107 tails is an excellent example of the concept of random variation. Flipping a coin is a chance event, and each flip of the coin has a 50% chance of resulting in heads and a 50% chance of resulting in tails. However, it is important to note that this does not imply that each side will appear an equal number of times.

Random variation is a concept that refers to the expected fluctuation of outcomes in a series of independent trials. As a result, a minor difference like the one observed in Kayla's case can be attributed to random variation. Thus, her outcome is quite normal and predictable.

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1

Step-by-step explanation:

Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.

Answer:

(3x+4)(x³+2)

Step-by-step explanation:

Follow me Please

Answer:

Hope it can help you and mark me as brainlist.

Answer:

x = 12.5

Step-by-step explanation:

f(x) = 35    .... y = 35   it's a horizontal line

for any value of x, the y value will be always 35.

f(2) = 35

2x + 10 = 35

2x = 25

x = 12.5

(3,5)

Step-by-step explanation:

Answer:

5,0

Step-by-step explanation:

Use the website Desmos to help u in this question

The length of the shorter leg of the triangle ABC is approximately 24.49 units. Let's denote the right triangle ABC, where C is the right angle.

Let D be the midpoint of AB, and E be the foot of the altitude from C to AB. Then we have:

CD = 1/2 AB (definition of median)

CE = 12 (given altitude to the hypotenuse)

Let x be the length of the shorter leg of the triangle ABC. Then we have:

AE = x (definition of altitude)

EB = AB - x (definition of complementary leg)

By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

(2CD)^2 = AB^2 + x^2

AB^2 = 4CD^2 - x^2

By the similarity of triangles AEC and ABC, we have:

CE/AC = AE/AB

12 / (AB + BC) = x / AB

AB = x / (12/x + 1)

Substituting AB into the previous equation, we get:

4CD^2 - x^2 = x^2 / (12/x + 1)^2

Simplifying and solving for x, we get:

x^4 - 576x^2 - 14400 = 0

This is a quadratic equation in x^2, so we can solve for it using the quadratic formula:

x^2 = [576 ± sqrt(576^2 + 4*14400)] / 2

x^2 = [576 ± 624] / 2

Since x is a length, we take the positive square root:

x^2 = 600

x ≈ 24.49

Therefore, the length of the shorter leg of the triangle ABC is approximately 24.49 units.

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Answer:

(65) (64)

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

This problem is solved using substitution. So you need to start by substituting in the -9 for the 'x' in the main equation. This will give you something that looks like this:

\(7(-9)-10y=17\)

Now just solve!

\(7(-9)-10y=17\\\\-63-10y=17\\\\-10y=80\\\\y=-8\)

Hope this helps :)

Answer: y = -8

hope th

Answer:

Step-by-step explanation:

Its C. a-6

Answer:

c

Step-by-step explanation:

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