(1 point) The revenue, in dollars, from selling x items is R(x)=400x−x2, and the total cost, in dollars, is C(x)=50+9x. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.

Answer:

1200 miles

Step-by-step explanation:

Miss Turner drove 900 miles in March.

We are told that she drove 3 times as many miles in March as she did in January. This means that to get the number of miles she drove in January, we divide the number of miles she drove in March by 3:

900 / 3 = 300 miles

We are also told that she drove 4 times as many miles in February than January. This means that to get the number of miles she drove in February, we multiply the number of miles she drove in January by 4:

300 * 4 = 1200 miles.

Hence, she drove 1200 miles in February.

$ 1,100

Step-by-step explanation:

Well use the simple interest equation;

A = P(1 + rt)

Where:

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   R = Rate of Interest per year as a percent; R = r * 100

   t = Time Period involved in months or years

A = 500 (1 + 0.15*8)

A = 500 (2.2)

= 1100

Answer:  C = 2 x π x 6

Step-by-step explanation:

Hi, to answer this question we have to calculate the circumference of the circular flower garden.

Since it’s a circle we have to apply the next formula:

Circumference: 2 x π x radius

Replacing with the value given, the expression that represents this situation is:

C = 2 x π x 6  

If we solve it:

C= 37.69 feet

Answer:

C = 2 × π × 6

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

19 meters

Step-by-step explanation:

The area of a circle is given as [tex]90.25\pi[/tex]

-A circle's area is calculated using the formula:

[tex]A=\pi r^2, r=0.5D, D=Diameter[/tex]

#We substitute for area in the equation and solve for D;

[tex]A=\pi (0.5D)^2\\\\90.25\pi=\pi (0.5D)^2\\\\\sqrt{90.25}=0.5D\\\\D=19[/tex]

Hence, the circle's diameter is 19 meters

Diameter of a circle = 19 meters

Circle is a rounded figure that consists of points that are equidistance from the center

Area of a circle is the area enclosed by the circle . The distance between the center to the circumference of circle is the radius.

Diameter is a straight line from one end of circle to the other end and it passes through the center of the circle

Given that area of the circle is 90.25 pi square meters

Area of the circle formula is

[tex]Area = \pi r^2\\90.25\pi =\pi r^2\\divide \; both \; sides \; by \; pi\\90.25=r^2\\take \; square \; root \; on \; both \; sides\\r=\sqrt{90.25}\\ r=9.5[/tex]

diameter of the circle = 2 times of the radius

Diameter = 2 times 9.5=19 meters

Diameter of a circle = 19 meters

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Answer:

N = 5/4 = 1.25

Altogether they eat 1.25 chocolate bar

Step-by-step explanation:

Dayle and his two brothers each eat 5/12 (five-twelfths) of a chocolate bar;

Three of them ate = 5/12 chocolate bar each

Total for the 3 of them N;

N = 3 × 5/12 = 15/12

N = 5/4 = 1.25

Altogether they eat 1.25 chocolate bar

Answer:

209

Step-by-step explanation:

i hoped this helped saying no one else wanted to answer have a nice day

The solution is , 209 is the area of this composite figure, in square centimeters.

Area of triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

Formula: area= 1/2× base × height

here, we have,

given that,

A triangle with base of 11 centimeters and height of 6 centimeters is on top of a rectangle with length 16 centimeters and width 11 centimeters.

now, we know,

area of triangle:

area= 1/2× base × height

A = 1/2 * 11 * 6

   =33

again,

we have,

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

so, A = 16* 11

        =176

finally, the area of this composite figure, in square centimeters is,

33+176 = 209

Hence, The solution is , 209 is the area of this composite figure, in square centimeters.

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Answer:

0.083 is the required probability.

Step-by-step explanation:

We are given the following in the question:

Probability of captain hitting pirate's ship =

[tex]P(A) = \dfrac{1}{2}[/tex]

Probability of pirate hitting the captain's ship =

[tex]P(B) = \dfrac{1}{6}[/tex]

Probability that both the pirate and the Captain hit each other's ships:

[tex]P(A\cap B) = P(A)\times P(B)[/tex]

Putting values, we get,

[tex]P(A\cap B) =\dfrac{1}{2}\times \dfrac{1}{6} = \dfrac{1}{12} \\\\P(A\cap B) = 0 .083[/tex]

0.083 is the probability that both the pirate and the Captain hit each other's ships.

Answer:

C = (13)π meters

Step-by-step explanation:

Its circumference is C = πd, which here has the value C = (13)π meters.

Final answer:

The circumference of a circle with a diameter of 13 meters is 13
meters, using the formula C =
d where C is the circumference and d is the diameter.

Explanation:

The question involves finding the circumference of a circle when given its diameter, in terms of
(pi). The diameter of the circle is provided as 13 meters. To find the circumference, we use the formula C =
d, where C is the circumference, r is the radius, and d is the diameter of the circle. Since the diameter is twice the radius (d = 2r), the formula can also be written as C = 2
r. However, since we are given the diameter, we use the first formula.

For this particular problem, we have d = 13 meters. Thus, the circumference of the circle calculated in terms of pi is:

C = imes d

C = imes 13 m

The circumference of the circle in terms of pi is therefore 13
meters.

Answer:

126 hrs

Step-by-step explanation:

-Given the school year has 180 days and the non-working student spends 42 minutes more than the working student.

-The total time during the school year is calculated as;

[tex]Total Time=Time/day \times No \ of \ Days\\\\=42\ minutes \times 180\\\\=7560\ minutes[/tex]

We convert our calculated time in hour(1hr=60 minutes):

[tex]=\frac{7560\ mins}{60\ mins}\\\\=126\ hrs[/tex]

Hence, the average non-working spends an average of 126 hrs that the working student.

Answer:

weekday,Weekday

Step-by-step explanation:

HAVE A GREAT DAY!!!!!! :)) wrong question lol

Answer:

the correct volume is 120in.3

Step-by-step explanation:

he did his math wrong, 20 x 6 is not 26.

V = 5 x 4 x 6 = 20 x 6 = 120

Answer:

He added instead of multiplying 20 and 6. The correct answer is 120 cubic inches.

Step-by-step explanation:

on edg2020

Answer:

△RST ~ △RYX by the SSS similarity theorem. Which ratio is also equal to RT/RX and RS/RY ?

A.XY/TS

B.SY/RY

C.RX/XT

D.ST/YX

Step-by-step explanation:

Check attachment for solution

Answer:

D

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

search up on quizizz

Answer:

143

Step-by-step explanation:

Because triangles JKL and JUV are similar, the ratio of JV:LJ also applies to the ratio of UJ:JK. JV:LJ=130:60=13:6, so 17x+7=13\6*(66).

KJ=17x+7=11*13=143

Hope this helps!

Answer:

P(T₀ < 200) = 0.99856

P(150 < T₀ < 200) = 0.99856

Step-by-step explanation:

The expected values for each of the tasks is μ₁ = 60, μ₂ = 60, μ₃ = 60

The variances for each of the 3 tasks

σ₁² = 15, σ₂² = 15, σ₃² = 15

calculate P(T₀ < 200) and P(150 < T₀ < 200)

When independent distributions are combined, the combined mean and combined variance are given through the relation

Combined mean = Σ λᵢμᵢ

(summing all of the distributions in the manner that they are combined)

Combined variance = Σ λᵢ²σᵢ²

(summing all of the distributions in the manner that they are combined)

Distribution of total time taken for the 3 successive tasks

= X₁ + X₂ + X₃

Expected value = Combined Mean = μ₁ + μ₂ + μ₃ = 60 + 60 + 60 = 180

Combined Variance = 1²σ₁² + 1²σ₂² + 1²σ₃²

= (1² × 15) + (1² × 15) + (1² × 15)

= 45

standard deviation of the combined distribution = √(variance) = √45 = 6.708

Since each of the distributions are said to be normal, the combined distribution too, is normal.

P(T₀ < 200)

We first standardize 200

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (200 - 180)/6.708 = 2.98

The required probability

= P(T₀ < 200) = P(z < 2.98)

We'll use data from the normal probability table for these probabilities

P(T₀ < 200) = P(z < 2.98) = 0.99856

b) P(150 < T₀ < 200)

We first standardize 150 and 200

For 150

z = (x - μ)/σ = (150 - 180)/6.708 = -4.47

For 200

z = (x - μ)/σ = (200 - 180)/6.708 = 2.98

The required probability

= P(150 < T₀ < 200) = P(-4.47 < T₀ < 2.98)

We'll use data from the normal probability table for these probabilities

P(150 < T₀ < 200) = P(-4.47 < T₀ < 2.98)

= P(z < 2.98) - P(z < -4.47)

= 0.99856 - 0.0000 = 0.99856

Hope this Helps!!!

This question relates to the times needed for repair tasks at a service facility and involves concepts such as expected values, variances, and probability distributions. It also mentions sample standard deviations, estimates of population standard deviations, and sample means.

The question is about the times necessary to perform three successive repair tasks at a service facility. Let x1, x2, and x3 represent the times for each task. Assuming they are independent, normal random variables, we can calculate the expected values and variances using the given information. For example, the expected value of x1 is m1, and the variance is s21.

The question also refers to different figures that represent probability distributions for the repair times. In Figure 5.19, the shaded area represents the probability that the repair time is less than three. In Figure 5.18, the shaded area represents the probability that the repair time is greater than two. These figures provide visual representations of the probabilities associated with the repair times.

Finally, the question mentions the concepts of sample standard deviations, estimates of population standard deviations, sample means, and population means. These concepts are relevant for analyzing the repair times and understanding the characteristics of the data.

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The midpoint of the line segment AB with points A at (-5, -4) and B at (5, -3) can be found by averaging the x and y coordinates of the two points. The x-coordinate of the midpoint is 0 and the y-coordinate is -3.5, hence the midpoint is (0, -3.5).

The subject of this question is Mathematics, specifically discussing the concept of finding the midpoint of a line segment in a 2D coordinate system. The midpoint of a line segment can be calculated using the coordinates of the two ends of the line segment. To find it, you add the coordinates (x, y) of the two points and divide each sum by 2. In this case, the coordinates of points A and B are (-5, -4) and (5, -3) respectively. Thus, the x-coordinate of the midpoint is (-5 + 5)/2 = 0 and the y-coordinate of the midpoint is (-3 - 4)/2 = -3.5. Therefore, the midpoint of line segment AB is at (0, -3.5).

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Answer:

C. 270

Step-by-step explanation:

If there are 10 millimeters in 1 centimeter, that means there is 10 times the number of millimeters in a centimeter. So, we would multiply 27 centimeters by 10 to find the number of millimeters.

Answer:

x = 4

Step-by-step explanation:

  Extracting the key information from the question:

*** A fraction has 20 as its denominator.

*** The value of the denominator = 20 - x

*** If the fraction is equivalent to or the same as 4/5.

*** We are basically required to calculate the value of x.

  Since we are not told what the fraction is equivalent to, we can fix any random fraction in order to help us to understand what we are basically required to do in to get through this sort of question. Now, let us assume that the fraction that this unknown fraction is equivalent to is 4/5.

  We have also been informed that this fraction has a denominator of 20 and a numerator that is x less than the denominator. This means/ signifies that the denominator = 20 and the numerator = 20 - x.

i.e the fraction in question = (20 - x)/20.

 Since this very fraction is equivalent to 4/5, then:

   20-x/20 = 4/5

We will then cross multiply and make "x" the subject of the formula.

   (20-x)×5 = 20×4

  100 - 5x = 80

     5x = 100 - 80

     5x = 20

      x = 20/5

      x = 4

Answer:

The height of Sydney opera house in the model is 2.13 feet.

Step-by-step explanation:

We are given the following in the question:

Height of Sydney opera house = 213 feet

Height in model =

[tex]\dfrac{1}{100}\text{ of the actual height}[/tex]

We have to evaluate the height of Sydney opera house in model.

Height in model =

[tex]=\dfrac{1}{100}\times 213\\\\=2.13\text{ feet}[/tex]

Thus, the height of Sydney opera house in the model is 2.13 feet.

Answer:

212

Step-by-step explanation:

47 goes into 99 2 times

Bring down the 5

47 goes into 56 1 time

Bring the 9

47 goes into 94 2 times

Answer:

60 degrees

Step-by-step explanation:

it is a special 30-60-90 triangle

Answer:67.4

Step-by-step explanation:

This is a basic triangle you have to memorize these angles

Answer:

24

Step-by-step explanation:

3t⁶ × 8(t^-6)

3 × 8 × t⁶ × t^-6

24 × t^(6-6)

24 × t⁰

24 × 1

24

Answer:

The student will have to save $404.2 minimum monthly

Step-by-step explanation:

Given that the total cost for the first year= $19,700

The grandparents paid half the amount = 1/2(19700)= $9850

The remaining balance to be paid is

19,700 - 9850=$9850

If an athlete paid $5000

The the remaining balance to be paid = 9850-5000=$4850

For the student to clear this amount in 12 months he must save

monthly 4850/12= $404.166

Hence the minimum amount to be saved per month is $404.2

Answer:

The student will have to save a minimum of $404.17 every month.

Step-by-step explanation:

The total cost of attending the sate university is $19, 700 for the first year alone.

Total cost for a year  = $19700

A student's grandparent will pay half of the cost . This means the grand parents will pay

1/2 of the total cost for a year

1/2 × 19700 = $9850

The grand parent will pay $9850

An athletic scholarship will pay $5000 . It will be 9850 - 5000 = 4850 . The remaining amount to pay is $4850 .

At the end of 12 months the minimum amount the student will save every month to be able to pay the remaining amount will be the amount payable divided by 12 month.

minimum amount to save every month = 4850/12

minimum amount to save every month = 404.16666667

minimum amount to save every month ≈ 404.17

A geometric random variable represents the number of games played until a player loses. The probability can be calculated using the formula P(X = k) = (1-p)^(k-1) * p, where p is the probability of losing a game and k is the number of games.

A geometric random variable, denoted as X, represents the number of games played until a player loses. It is a type of random variable in probability theory. We can calculate the probability that it takes a certain number of games until the player loses by using the formula P(X = k) = (1-p)^(k-1) * p, where p is the probability of losing a game and k is the number of games. For example, if p = 0.57 and we want to find the probability that it takes five games until the player loses, we can calculate P(X = 5) = (1-0.57)^(5-1) * 0.57.

Answer:

-1.596

Step-by-step explanation:

4^(x + 3) = 7

log4 both sides

log4[4^(x + 3)] = log4(7)

(x + 3) × log4(4) = lg7/lg4

x + 3 = 1.403677461

x = -1.596322539

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

[tex]h=\sqrt{x^2+y^2}[/tex]

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

[tex]h=\sqrt{42^2+56^2}=70 yd[/tex]

Answer:

70

Step-by-step explanation: i don't why it only says one answer i thing brainly messed up cause it says i have no brainliest ether to.

Answer:

i am not 100% sure but i believ the answer is C i hope im not too late

Step-by-step explanation:

Answer:

f(-5)= -17

Step-by-step explanation:

We want to find at what value of f(x), or y, does x=-5

So, to find when x=-5, or f(-5), substitute -5 in for x

f(x)=3x-2

f(-5)=3(-5)-2

Multiply first (PEMDAS)

f(-5)=-15-2

Subtract

f(-5)= -17

Hope this helps! :)

Answer:

f(-5) = -17

Step-by-step explanation:

f(x) = 3x – 2        Substitute -5 for x

f(-5) = 3(-5) - 2      Multiply

f(-5) = -15 - 2         Subtract

f(-5) = -17

Answer:

1 metre = 100 centimetres

Step-by-step explanation:

12 bottles of paint does she need to paint 70 ornaments. Hence 12 is correct answer.

1. Calculate the surface area of one cone:
The surface area of a cone is the sum of the area of the base (a circle) and the lateral surface area. Since the cone is cut in half vertically, we only need to consider half of the base and lateral surface area.
Base area: The base is a circle with radius r. The area of a circle is πr². Since the cone is cut in half, the base area is πr² / 2.
Lateral surface area: The lateral surface area is a sector of a circle with radius r and arc length equal to the circumference of the base. The circumference of the base is 2πr. The area of a sector is (arc length × radius) / 2. In this case, area of sector is (2πr×r) / 2 = πr^2.
Therefore, total surface area of one cone is (πr²/ 2) + πr² = 3πr² / 2.
2. Calculate the surface area of one ornament:
Since each ornament is made up of two identical cones, the surface area of one ornament is twice the surface area of one cone. Therefore, the surface area of one ornament is 2×(3πr² / 2) = 3πr^2.
3. Calculate the total surface area of all ornaments:
If Donna needs to paint 70 ornaments, the total surface area she needs to cover is 70×3πr² = 210πr².
4. Convert the surface area to square meters:
However, if you provide the radius in meters, you can multiply the surface area you calculated in 3 by 1 to convert it to square meters.
5. Estimate the number of bottles of paint needed:
The total surface area in square meters, you can estimate the number of bottles of paint Donna needs by dividing the surface area by the coverage area of one bottle of paint. This information is typically available on the paint bottle itself. For example, if one bottle of paint covers 10 square meters, and the total surface area of the ornaments is 210 square meters, Donna would need approximately 210 square meters / 10 square meters/bottle = 21 bottles of paint.