A composite figure has a radius of 10cm. What is the area of this composite figure. Use 3.14

Answer:

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

Step-by-step explanation:

The function N(t) = 800 t -  5t², represents the number of cars produced at a time t hours in a day, where 0 ≤ t ≤ 10

The function C(N) = 30,000 + 8,000 N, represents the cost C​ (in dollars) of producing N cars

We need to find The cost C as a function of the time t

That means Substitute N in C by its function by other word find the composite function (C о N)(t)

∵ C(N) = 30,000 + 8,000 N

∵ N(t) = 800 t - 5 t²

- Substitute N in C by 800 t - 5 t²

∴ C(N(t)) = 30,000 + 8000(800 t - 5 t²)

- Multiply the bracket by 8000

∴ C(N(t)) = 30,000 + 8000(800 t) - 8000(5 t²)

∴ C(N(t)) = 30,000 + 6,400,000 t - 40,000 t²

- C(N(t) = C(t)

∴ C(t) = 30,000 + 6,400,000 t - 40,000 t²

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

The cost C as a function of time t of operation is given by the equation C(t) = 30000 + 6400000t - 40000t^2. This equation factors in the initial costs, the revenue from the cars produced, and the costs per each additional hour of operation.

To answer your question, we first need to find a relationship between the cost C(N) and the number of cars produced N(t) as a function of time. We know that N(t) = 800t - 5t2 and C(N) = 30000 + 8000N. We can substitute N(t) into C(N) to find C as a function of time t.

Therefore, the cost C as a function of time t, denoted as C(t), is C(t) = 30000 + 8000 * (800t - 5t2).

This simplifies further to C(t) = 30000 + 6400000t - 40000t2.

In other words, the cost of operations in the factory is a function of the time it operates, taking into account the initial costs, the revenue from the cars produced, and the cost associated with each additional hour of operation.

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Answer:

the radius

Step-by-step explanation:

4/3*pi*r squared

The circumference of a circle with a radius of 9 millimeters is approximately 56.54867 mm, or 57 mm when rounded to two significant figures.

The circumference of a circle can be calculated using the formula C = 2πr, where π (pi) is approximately 3.14159 and r is the radius of the circle. Given that the radius of the circle is 9 millimeters, we can plug this value into the formula to find the circumference.

C = 2 × 3.14159 × 9 mm

After calculating, the circumference (C) is 56.54867 mm. However, if we keep the significant figures consistent with the given radius, the circumference is approximately 57 mm.

The circumference of the circle with a radius of 9 millimeters is approximately 56.55 millimeters, calculated using the formula [tex]\(C = 2 \pi r\)[/tex].

The circumference (C) of a circle is calculated using the formula [tex]\(C = 2 \pi r\)[/tex], where r is the radius of the circle. Given that the radius (r) is 9 millimeters, substitute this value into the formula:

[tex]\[ C = 2 \pi \times 9 \][/tex]

Using an approximate value for [tex]\(\pi\)[/tex], which is 3.14159, the calculation is:

[tex]\[ C \approx 2 \times 3.14159 \times 9 \][/tex]

[tex]\[ C \approx 56.54867 \][/tex]

Therefore, the circumference of the circle with a radius of 9 millimeters is approximately 56.55 millimeters.

Answer:

9x^4-25x^2+16

Step-by-step explanation:

(x^2−1)(3x−4)(3x+4)=(*)

(x^2−1)((3x)^2−4^2) =

(x^2 - 1)(9x^2-16)=

x^2*9x^2 - x^2*16 - 1*9x^2 +16=

9x^4-16x^2-9x^2+16=

9x^4-25x^2+16

(*) (A-B)(A+B) =A^2 - B^2

Ok, so we know she can make 6 sandwiches in 15 minutes. So, in 30 minutes she can make 12 sandwiches. It takes her 2.5 minutes to make one sandwhich. Therefore for another 3 sandwiches it would take 7.5 minutes.

Answer: 37.5 minutes to make 15 sandwiches

Answer:

37.5 minutes

Step-by-step explanation:

You must find the rate at which she can make sandwhiches and use that to find your answer

Answer:

The answer to your question is  77/500    

Step-by-step explanation:

Data

decimal number = 0.154

fraction number = ?

Process

To convert a decimal number into a fraction, express the decimal number without the zero and the decimal point (this number will be the numerator) and write as a denominator a number one plus as many zeros after this number as numbers there are after the decimal point of the numerator.

Example

              0.154 has three number after the decimal point then we write 1000

                             154/1000 =

Simplify

                              77/500            

Answer:

1.6

Step-by-step explanation:

[tex] \tan \: A = \frac{4}{5} \\ \\ \cot \: A = \frac{1}{ \tan \: A } = \frac{1}{ \frac{4}{5} } = \frac{5}{4} \\ \\ csc\: A = \sqrt{1 + {cot}^{2}\: A} \\ = \sqrt{1 + { \bigg( \frac{5}{4} \bigg)}^{2} } \\ = \sqrt{1 + \frac{25}{16} } \\ = \sqrt{\frac{16 + 25}{16} } \\ = \sqrt{\frac{41}{16}} \\ = \frac{ \sqrt{41} }{4} \\ = \frac{6.40312424}{4} \\ = 1.60078106 \\ \therefore \: csc \: A =1.6[/tex]

Question:

Temperatures for 5 Days This Week and Last Week

Low Temperatures This Week (Degrees Fahrenheit) 4 10 6 9 6 Low Temperatures Last Week (Degrees Fahrenheit) 13 9 5 8 5 Which measures of center or variability are greater than 5 degrees? Select three choices.

a) the mean of this week’s temperatures

b) the mean of last week’s temperatures

c) the range of this week’s temperatures

d)the mean absolute deviation of this week’s temperatures

e) the mean absolute deviation of last week’s temperatures

Answer:

a) the mean of this week’s temperatures

b) the mean of last week’s temperatures

c) the range of this week’s temperatures

Step-by-step explanation:

I would be verifying the options a, b, and c in my answer above through calculations which are shown below.

We were given the following data:

Low Temperatures This Week (Degrees Fahrenheit)

4, 10, 6, 9, 6

Low Temperatures Last Week (Degrees Fahrenheit)

13, 9, 5, 8, 5

We are to find which measures of center or variability are greater than 5 degrees.

Option a

The mean of this week’s temperatures

(4+ 10+ 6+9+ 6) °F ÷ 5 = 35 °F ÷5 = 7°F

Option a is correct because it measures of center or variability which is 7 °F is higher than 5°F

Option b

The mean of last week’s temperatures

(13+ 9 + 5 + 8 + 5) °F = 40°F ÷ 5 = 8°F

Option b is correct , because its measure of variability which is 8°F is greater than 5°F.

Option c

the range of this week’s temperatures

This week's temperature is given as

(4, 10, 6, 9, 6) °F

Range is defined as the difference between the highest number and the lowest number

Range of this week's temperature = (10 - 4) °F = 6°F

Hence Option c is correct because it measures of center or variability which is 6°F is greater than 5°F

From the above calculations we can accurately confirm that options a, b, and c are correct because the measures of their center or variability is greater than 5°F

Answer:

A,B,C

Step-by-step explanation:

Answer:

The tank can hold 4110.26 gallons of water.

Step-by-step explanation:

In order to solve this question we need to compute the volume of this tank, the volume is given by:

V = (area of the base)*height

Since the base is circullar, it is given by:

area of the base = pi*r^2

So we have:

V = height*pi*r^2

The radius of circle is the diameter divided by 2, so in this case r = 10/2 = 5 ft. We can now use the values on the equations:

V = 7*3.14*(5)^2 = 549.5 ft^3

Since each cubic foot holds 7.48 gallons of water the volume in gallons is:

V = 549.5*7.48 = 4110.26 gallons

The tank can hold 4110.26 gallons of water.

To find the number of gallons a cylindrical tank can hold, calculate the volume in cubic feet using the formula V = πr^2h, where the diameter is 10 feet (radius is 5 feet) and the height is 7 feet, then multiply the volume by 7.48 gallons per cubic foot.

To calculate the number of gallons a cylindrical tank can hold, we first need to find the volume of the cylinder in cubic feet and then convert that volume to gallons. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

Since the diameter of the tank is given as 10 feet, the radius (r) would be half of that, which is 5 feet. The height (h) is given as 7 feet. Plugging these values into the formula, we get:

V = π(5)^2(7) = π(25)(7) = π(175) cubic feet.

Using the conversion factor 7.48 gallons per cubic foot, we can find the total gallons the tank holds:

Gallons = Cubic feet × 7.48 gallons/cubic foot

Gallons = π(175) × 7.48 gallons/cubic foot

We thus calculate the total volume in gallons.

Answer:

[tex] ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

And replacing we got:

[tex] ME= 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}= 0.0432[/tex]

And replacing into the confidence interval formula we got:

[tex]0.37 - 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}=0.327[/tex]

[tex]0.37 + 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}=0.413[/tex]

And the 95% confidence interval would be given (0.327;0.413).

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

Assuming a 95% of confidence. For the 95% confidence interval the value of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2=0.025[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=1.96[/tex]

The margin of error would be:

[tex] ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

And replacing we got:

[tex] ME= 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}= 0.0432[/tex]

And replacing into the confidence interval formula we got:

[tex]0.37 - 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}=0.327[/tex]

[tex]0.37 + 1.96 *\sqrt{\frac{0.37 (1-0.37)}{480}}=0.413[/tex]

And the 95% confidence interval would be given (0.327;0.413).

Answer:

1 - If method I is used, population of generalization will include all those people who may have varying exercising habits or routines.  They may or may not have a regular excersing habit.  In his case sample is taken from a more diverse population

2 - Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

Past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

Method I involves randomized assignment and its generalization population is those willing to participate in such a study. Method II samples a fitness center population and cannot isolate causality.

(i) Method I uses a randomized control trial, where volunteers are randomly assigned to exercise either with a partner or alone. The population of generalization is all people willing to participate in such a study, which likely skews towards those who are more interested in exercise and possibly more health-conscious.

(ii) Method II uses a random sample from a community fitness center, allowing the researchers to control less for participant choice as they directly ask each person about their workout habits. The population of generalization is all people who exercise at a community fitness center.

(b) If the results of the investigation are statistically significant using method I, we can conclude that exercising with a training partner causes a greater increase in targeted exercise intensity, due to the random assignment removing confounding variables. This conclusion can not be drawn using method II because it is observational and not experimental.

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Answer:

it'd be an obtuse triangle. If any angle is greater than 90 degrees it makes it obtuse.

Step-by-step explanation:

Answer:

obtuse triangle

Step-by-step explanation:

Answer:

Use the value for the variable to solve for the other unknowns.  Substitute the value for the variable into the expression for the number of seats on the middle level.  Substitute the value for the variable into the expression for the number of seats on the lower level.

Step-by-step explanation:

The diameter of the steering wheel of a car is 15.5 inches.

Circumference of the wheel = 15.5π = 48.6

If you turn the steering wheel through an arc of 90 degrees without taking your hands from the wheel,

The distance moved by hands = [tex]\frac{48.67}{4}[/tex] = 12 inches.

Answer:

Step-by-step explanation:

Answer:

its 30

Step-by-step explanation:

you have to divide 450 by 15 to see what it takes

Answer:

[tex]a.\ P(C<8.0)=0.1587\\\\b. \ P(8.2<C<8.3)=0.1359\\\\c. 7.87\ oz[/tex]

Step-by-step explanation:

a. Let C be the normally distributed random variable.

-Given the chocolates is normally distributed with mean =8.1 oz and standard deviation =0.1 oz.

#The proportion of those less than 8.0 oz can be calculated as:

[tex]P(C<8.0)=P(Z<\frac{\bar X-\mu}{\sigma})\\\\\\=P(Z<\frac{8.0-8.1}{0.1})\\\\\\=P(Z<-1)=0.1587[/tex]

Hence, the proportion of bars weighing below 8 ounces is 0.1587 or 15.87%

b. We use the z-test to determine the probability or proportion of bars weighing between 8.2 and 8.3 ounces:

[tex]P(8.2<C<8.3)=P(\frac{\bar X-\mu}{\sigma}<Z<\frac{\bar X-\mu}{\sigma})\\\\\\=P(\frac{8.2-8.1}{0.1}<Z<\frac{8.3-8.1}{0.1})\\\\\\=P(1<Z<2)\\\\\\=0.9772-0.8413\\\\=0.1359[/tex]

Hence, the proportion of bars weighing between 8.2 and 8.3 ounces is 0.1359 or 13.59%

c. To label the wrappers such that only 1% are underweight.

#Find B such that

P(C<B)=0.01

#Now find z-value such that:

[tex]P(Z<B)=0.01[/tex]

Using the z-tables, z=-2.33

Therefore:

[tex]C=z\sigma +\mu\\\\=-2.333\times 0.1+8.1\\\\=7.8667\approx 7.87 \ oz[/tex]

Hence, the wrappers should be labelled as 7.87 ounces

Approximately 15.87% of the chocolate bars weigh less than 8.0 oz. Approximately 13.59% of the bars weigh between 8.2 and 8.3 oz. The wrappers should be labeled as 7.867 oz to ensure only 1% of the bars are considered underweight.

In order to answer the student's questions, we have to find the Z-scores, which correspond to the given weights, in the standard normal distribution table.

(A) To find the proportion of chocolate bars that weigh less than 8.0 oz, we first find the Z-score using the formula Z = (X-μ)/σ, where X is the weight, μ is the mean, and σ is the standard deviation. Thus, Z = (8.0-8.1)/0.1 = -1, implying the bar is one standard deviation below the mean. Referring to the Z-table, Z = -1 corresponds to 0.1587, or 15.87% of the population. Therefore, approximately 15.87% of the chocolate bars weigh less than 8.0 oz.

(B) To find the proportion of chocolate bars weighing between 8.2 and 8.3 oz, find the Z-scores for 8.2 and 8.3 oz. Using the Z-score formula, Z_8.2 = (8.2-8.1)/0.1 = 1 and Z_8.3 = (8.3-8.1)/0.1 = 2. From the Z-table, the proportions corresponding to these Z-scores are 0.8413 and 0.9772 respectively. Thus, the proportion between these weights is 0.9772 - 0.8413 = 0.1359, or 13.59%.

(C) For only 1% of the bars to be underweight, we need a weight that is at the 1% mark in the standard normal distribution. Looking up the Z-table, Z = -2.33 corresponds with the lower 1%. Using the Z = (X-μ)/σ formula rearranged to X = Z*σ + μ, we get X = -2.33*0.1 + 8.1 = 7.867 oz. Therefore, to ensure only 1% of bars are underweight, the wrappers should be labeled as 7.867 oz.

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Answer:

10

Step-by-step explanation:

You can use process of elimination for this question

Since one of the chord is drawn in and part on the radius is connected to it, that "part" radius bisects the chord

Therefore, the chord is 16 units long

Then the diameter must be even longer

The only option that works for the radius is 10 as the diameter would be 20

If the radius was 5, the diameter would be 10 which is less than the chord

If the radius was 6, the diameter would be 12 which is less than the chord

Answer:C 1/2

Step-by-step explanation:

If 11 are boys that means the left over 11 from the 22 are girls.

22-11=11

11/22 simplified is 1/2 as you divide both sides by 11.

Hope this helps!

Answer:

(m - n ) = b

mn = c

The relationship between m and n is such that their product is c  and their difference is b

Step-by-step explanation:

roots are   x = -m   and  x = n

-m   =   -b/2 - root(b*b + 4c)/2

n = -b/2 + root(b*b + 4c)/2

(x + m)(x -n) =  x*x +(m - n)x  - mn

(m - n ) = b

mn = c

Sample Answer: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

its right ur welcome

Answer:

Ruby pays a dollar every 12 messages.

Step-by-step explanation:

It costs Ruby $4 to send 48 text messages. To find the unit rate, you would divide 48 by 4. So the result would lead to 12 messages per dollar.

Answer: radius = 3.61 cm

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 299 cm³

Height = 7.3 cm

Therefore,

299 = 3.14 × r² × 7.3

299 = 22.922r²

r² = 299/22.922 = 13.044

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 3.61 cm

If we are looking for when they would be the same at a given time:

First, we need to set them to each other:

50 + 10x = 25 + 15x

Move them around and then get this:

25 = 5x

Divide by 5 from both sides

5 = x

Answer:

4x^3 + 41x^2 +51x + 54

Step-by-step explanation:

This is a polynomial distribution

(x + 9 )(4x^2 + 5x + 6) We start by multiplying every term with x

4x^3 + 5x^2 + 6x there is plus sign between (x+9) so we put plus and start multiplying every term by 9

4x^3 + 5x^2 + 6x + 36x^2 + 45x + 54

4x^3 + 41x^2 +51x + 54

Answer:

We will need [tex]13\frac{1}{3}[/tex] quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.

Step-by-step explanation:

A certain shade of blue is made by mixing [tex]1\frac{1}{2}[/tex] quarts of blue paint with 5 quarts of white paint. This means the ratio of quantity of blue paint to white paint is:

[tex]1\frac{1}{2}:5\\\\ \frac{3}{2}:5\\\\ 3:10[/tex]

If we want to prepare this certain shade then we have to maintain this ratio of blue paint to white paint.  We have 4 quarts of blue paint and we need to find how many quarts of white paint we need. Let the amount of white paint needed be x quarts. So ratio of blue to white will be 4 : x

Since, this ratio must be equal to 3 : 10, we can set both ratios equal and find the value of x

[tex]3:10 = 4:x\\\\\frac{3}{10}=\frac{4}{x}\\\\ 3x=40\\\\ x=\frac{40}{3}\\\\ x=13\frac{1}{3}[/tex]

This mean we will need [tex]13\frac{1}{3}[/tex] quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.

6/5

Step-by-step explanation:

Answer:

24.8746859277

Step-by-step explanation:

sqrt(625 - 25/4)

sqrt[(2500-25)/4]

sqrt(2475/4)

sqrt(618.75)

24.8746859277

Answer:

24.87

Step-by-step explanation:

Answer:

B) 8

( I Hope this was helpful)

Answer:

The answer is D. Equilateral

Step-by-step explanation:

Answer on edg

The triangle ΔJLM is an equilateral triangle. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, two angles and their opposite sides are equal.

In an equilateral triangle, all the angles and sides of the triangle are congruent.

Circle M is shown. Line segments MJ and ML are radii.

Tangents JK and LK intersect at point K outside the circle.

Major arc JL is 300 degrees.

Then the measure of the minor arc will be

Major arc + minor arc = 360°

       300° + minor arc = 360°

                   Minor arc = 60°

Then the measure of angle ∠MLJ will be

Minor arc = ∠LMJ = 60°

Then the sides MJ and ML congruent, then their opposite angles are also congruent.

∠MJL = ∠MLJ

Then the measure of the angle ∠MLJ will be

∠MJL + ∠MLJ + ∠LMJ = 180

   ∠MLJ + ∠MLJ + 60° = 180°

                        2∠MLJ = 120°

                          ∠MLJ = 60°

All the angles of the triangle are congruent.

Then the correct option is D.

More about the triangle link is given below.

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Answer:

B.- There is no vertical asymptote at x=0

E.- There is a removable discontinuity at x= -a

Step-by-step explanation:

Answer:

The above answers are correct! The correct options are B and E!

Step-by-step explanation:

Hope this helped confirm :)

Have a great day!

Answer:

y = 5[tex]e^{tan(x)}[/tex]

Step-by-step explanation:

work in picture below