Or

Camille has a can of soup in the pantry. The circular lid has a radius of 3 inches. What is the lid's area?


Use 3. 14 for ​

Answer:

Step-by-step explanation:

boody boody

Answer:

x

Step-by-step explanation:

you do your x and y on anything

Answer:15

Step-by-step explanation:

width - 6

height - 5

6 x 5 / 2 = 15

(Please tell me if I read it wrong, It's not really clear)

Answer:

1 teaspoon

Step-by-step explanation:

Answer:

3\(\sqrt{7}\)

Step-by-step explanation:

Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

\(\frac{231}{23} = 10.043....\)

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

\(11 * 2.13 = 23.43\)$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

\(23.43 + 13.92 + 32.98 = t\)

\(t = 70.43\)

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

The value of f(-2) is -2 and the function f in the slope intercept form is y = (1/2)x - 1.

From the graph, we can observe that, the x-intercept is 2 and the y-intercept is -1.

Hence,

Coordinates of x-intercept = (0,-1)

Coordinates of y-intercept = (2,0)

Slope, m of the line = (-1-0)/(0-2) = -1/(-2) = 1/2.

General equation of the line in the slope intercept form :-

y = mx + c

Putting (0,-1) in the equation, we get,

-1 = (1/2)*(0) + c

-1 = 0 + c

c = -1

Hence, the equation of the function will be:-

y = (1/2)x - 1.

Now, value of f(-2) = (1/2)(-2) - 1 = -1 - 1 = -2.

To learn more about slope intercept form, here:-

https://brainly.com/question/9682526

#SPJ1

Out of the three given series, only series I (3n) diverges, while series II (18 + 18^2 + 18^3 + ...) and series III (n!) also diverge. None of the given series are convergent.

Let's analyze each series to determine their convergence.

I. The series \(3n\) does not converge because it grows without bound as \(n\) increases. The terms of the series \(3n\) become larger and larger without approaching a specific value, indicating that the series diverges.

II. The series \(18 + 18^2 + 18^3 + \ldots\) is a geometric series with a common ratio of \(18\). For a geometric series to converge, the absolute value of the common ratio must be less than 1. In this case, \(|18|\) is greater than 1, so the series diverges.

III. The series \(n!\) represents the factorial of \(n\), which is the product of all positive integers from 1 to \(n\). The factorial function grows very rapidly, so the terms of the series \(n!\) become larger and larger as \(n\) increases. Therefore, the series \(n!\) diverges.

Learn more about geometric series here:

https://brainly.com/question/30264021

#SPJ11

Answer:

25 cm

Step-by-step explanation:

hope it helps.....

Answer:

25 cm

Step-by-step explanation:

Use Algebra:

Area of a triangle is  \(A = \frac{1}{2} bh\)  

\(\frac{1}{2}b\) × 32 = 400

\(\frac{1}{2}b\) = 12.5

\(b = 25 cm\)

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

Learn more about  volume from

https://brainly.com/question/27710307

#SPJ11

Answer:

I believe the answer you chose is correct. Hope this helps and please mark as helpful if I was correct. THanks!

Step-by-step explanation:

The measure of angle DEH is 60°. The solution is obtained using the properties of rhombus.

What is a rhombus?

The rhombus is a distinct variant of the parallelogram. The opposing sides and angles of a rhombus are parallel and equal.

We are given that the quadrilateral EFGH is a rhombus.

We know that the diagonals of a rhombus bisect each other at right angles i.e. 90°.

Therefore, Angle FDE = 90°

In triangle FDE, using angle sum property, we get

⇒ 30° + 90° + ∠FED = 180°

⇒ 120° + ∠FED = 180°

⇒∠FED = 60°

We know that the diagonals of the rhombus bisect the angles.

This means that ∠FED = ∠DEH

Therefore, ∠DEH = 60°

Hence, the measure of angle DEH is 60°.

Learn more about rhombus from the given link

https://brainly.com/question/88523

#SPJ1

Answer:

The largest number is 190.

Step-by-step explanation:

Given that,

Two whole numbers add up to 337 and their difference 43.

Let two whole number is x and y.

The sum of two whole number is

\(x+y=337\)

The difference of two whole number is

\(x-y=43\)

We need to calculate the numbers

Using equation (I) and (II)

\(x+y=337\)

\(x-y=43\)

Now, add the equations

\(2x=380\)

\(x=\dfrac{380}{2}\)

\(x=190\)

Put the value of x in equation (I)

\(190+y=337\)

\(y=337-190\)

\(y=147\)

The numbers are 190 and 147.

Hence, The largest number is 190.

Answer:

f(0) = 3

Step-by-step explanation:

f(0) = -3(0-1)

f(0) = -3(-1)

f(0) = 3

Answer:

- 36

Step-by-step explanation:

First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).

g(18) = \(\sqrt{2(18)}\) = \(\sqrt{36}\) = 6, then

h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then

f(12) = - 3(12) = - 36

Answer:

12/7

Step-by-step explanation:

Point C is at ( 0,0)

Point D is at ( 7,12)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( 12-0)/(7-0) = 12/7

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

To know more about a mixed fraction follow

https://brainly.com/question/1746829

#SPJ1

The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

To find the extreme values of V, we need to take the derivative of V and set it equal to zero. So, let's begin:

\(V(x) = x(10-2x)(16-2x)\)
Taking the derivative with respect to x:
\(V'(x) = 10x - 4x^2 - 32x + 12x^2 + 320 - 48x\)
Setting V'(x) = 0 and solving for x:
\(10x - 4x^2 - 32x + 12x^2 + 320 - 48x = 0\\8x^2 - 30x + 320 = 0\)
Solving for x using the quadratic formula:
\(x = (30 ± \sqrt{(30^2 - 4(8)(320))) / (2(8))\\x = (30 ± \sqrt{(1680)) / 16\\x = 0.93 or x =5.07\)
So, the extreme values of V occur at x ≈ 0.93 and x ≈ 5.07. To determine whether these are maximum or minimum values, we need to examine the second derivative of V. If the second derivative is positive, then the function has a minimum at that point. If the second derivative is negative, then the function has a maximum at that point. If the second derivative is zero, then we need to use a different method to determine whether it's a maximum or minimum.

Taking the second derivative of V:
V''(x) = 10 - 8x - 24x + 24x + 96
V''(x) = -8x + 106

Plugging in x = 0.93 and x = 5.07:
V''(0.93) ≈ 98.36 > 0, so V has a minimum at x ≈ 0.93.
V''(5.07) ≈ -56.56 < 0, so V has a maximum at x ≈ 5.07.

Now, to interpret these values in terms of the volume of the box, we need to remember that V(x) represents the volume of a box with length 2x, width 2x, and height x. So, the maximum value of V occurs at x ≈ 5.07, which means that the volume of the box is greatest when the height is about 5.07 units. The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

learn more about extreme values

https://brainly.com/question/1286349

#SPJ11

a) The extreme values of V are:

Minimum value: V(0) = 0

Relative maximum value: V(3) = 216

Absolute maximum value: V(4) = 128

b) The absolute maximum value of V at x = 4 represents the case where the box has a square base of side length 4 units, height 2 units, and width 8 units, which has a volume of 128 cubic units.

a) To find the extreme values of V, we first need to find the critical points of the function. This means we need to find where the derivative of the function equals zero or is undefined.

Taking the derivative of V(x), we get:

\(V'(x) = 48x - 36x^2 - 4x^3\)

Setting this equal to zero and solving for x, we get:

\(48x - 36x^2 - 4x^3 = 0\)
4x(4-x)(3-x) = 0

So the critical points are x = 0, x = 4, and x = 3.

We now need to test these critical points to see which ones correspond to maximum or minimum values of V.

We can use the second derivative test to do this. Taking the derivative of V'(x), we get:

\(V''(x) = 48 - 72x - 12x^2\)

Plugging in the critical points, we get:

V''(0) = 48 > 0 (so x = 0 corresponds to a minimum value of V)
V''(4) = -48 < 0 (so x = 4 corresponds to a maximum value of V)
V''(3) = 0 (so we need to do further testing to see what this critical point corresponds to)

To test the critical point x = 3, we can simply plug it into V(x) and compare it to the values at x = 0 and x = 4:

V(0) = 0
V(3) = 216
V(4) = 128

So x = 3 corresponds to a relative maximum value of V.
b) In terms of the volume of the box, the function V(x) represents the volume of a rectangular box with a square base of side length x and height (10-2x) and width (16-2x).
The minimum value of V at x = 0 represents the case where the box has no dimensions (i.e. it's a point), so the volume is zero.
The relative maximum value of V at x = 3 represents the case where the box is a cube with side length 3 units, which has a volume of 216 cubic units.
for such more question on extreme values

https://brainly.com/question/30886356

#SPJ11

Required:

We need to find the statement which is NOT a misuse of statistics.

Explanation:

Recall that misuse of statistics occurs when a statistical argument asserts a falsehood.

Utilizing valid statistical methods and correct sampling techniques is not a misuse of statistics.

Final answer:

A. Utilizing valid statistical methods and correct sampling techniques

Population: All customers who bought tablets in the previous month (570 people).

Sample: 300 randomly selected tablet buyers who received the survey.

In this scenario, the population refers to the entire group of customers who bought tablets from the electronics store in the previous month. Therefore, the population in this case would be the 570 people who bought tablets.

The sample, on the other hand, is a subset of the population that is selected to represent the larger group. In this scenario, the sample would be the 300 people who were randomly selected from the population of 570 tablet buyers to receive the survey.

Learn more about Sample https://brainly.com/question/24466382

#SPJ1

Each student paid £4.25

Multiply number of students by amount paid:

36 x £4.25 = £153

Each parent paid twice as much: £4.25 x 2 = £8.50

3 parents x 8.50 = £25.50

Total paid: 153 + 25.50 = £178.50

178.50 is less than the coach ( 195)

Rate of change

Option B

Answer:

78

Step-by-step explanation:

because I know everything

24 is an outlier and it is possible that there are other outliers at the high end of the data set. There are no outliers at the low end of the data set.

Summary measures are shown below.

Min = 12

Max = 24

Lower quartile = 15

Upper quartile = 18

Median = 16

n=10

To find the outlier(s) in this data set, we can use the interquartile range (IQR) method. The IQR is calculated as the difference between the upper quartile (Q3) and lower quartile (Q1), which in this case is 18 - 15 = 3.

We can then use the IQR to define the limits for what is considered an outlier. Anything below Q1 - 1.5 x IQR or above Q3 + 1.5 x IQR is considered an outlier.

Using these calculations, the outlier limits for this data set are:

Lower limit = Q1 - 1.5 x IQR = 15 - 1.5 * 3 = 9.5

Upper limit = Q3 + 1.5 x IQR = 18 + 1.5 * 3 = 24.5

Thus, 24 is an outlier, and there may be further outliers at the top end of the data set. At the bottom end of the data set, there are no outliers.

Hence, the correct answer would be option (D).

Learn more about the interquartile range here:

brainly.com/question/11647487

#SPJ2

Using the the Distributive Property to express 64 + 24 is 88.

This property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

When you multiply a value by a sum, the distributive property of multiplication over addition is used. For instance, suppose you want to multiply 5 by the sum of 10 + 3. When we have similar terms, we usually add the numbers first and then multiply by 5. 5(10 + 3) = 5(13) = 65.

In this case, 64 + 24 will be;

= 8(8 + 3)

= 88

Learn more about distributive property on:

https://brainly.com/question/4077386

#SPJ1

To solve the equation 5v^2 - 26v = 24 using the zero-product property, we first rewrite the equation in quadratic form by moving all terms to one side: the solutions to the equation 5v^2 - 26v = 24 are v = -4/5 and v = 6.

5v^2 - 26v - 24 = 0

Next, we factor the quadratic equation:

(5v + 4)(v - 6) = 0

According to the zero-product property, for the product of two factors to be zero, at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for v:

5v + 4 = 0   -->   5v = -4   -->   v = -4/5

v - 6 = 0   -->   v = 6

Thus, the solutions to the equation 5v^2 - 26v = 24 are v = -4/5 and v = 6.

know more about quadratic equation :brainly.com/question/12186700

#SPJ11

To calculate the average speed of a car that travels 67.6 meters in 2.7 seconds, we have to use the formula: Average speed = Distance / Time

Given:

Distance = 67.6 meters

Time = 2.7 seconds

Plugging in the values:

Average speed = 67.6 meters / 2.7 seconds

Calculate the average speed to two decimal places.

Question 7:

To find the time it takes for an airplane traveling at 936 m/s to come to a stop with a deceleration rate of 17.1 m/s², we can use the equation:

Final velocity = Initial velocity + (Acceleration × Time)

Given:

Initial velocity = 936 m/s

Acceleration = -17.1 m/s² (negative because it's deceleration)

Final velocity = 0 m/s (the plane comes to a stop)

Plugging in the values:

0 = 936 m/s + (-17.1 m/s²) × Time

Solve the equation for Time, rounding the answer to two decimal places.

Question 8:

To calculate the average speed of a car that travels 67.6 meters in 27 seconds, we use the formula:

Average speed = Distance / Time

Given:

Distance = 67.6 meters

Time = 27 seconds

Plugging in the values:

Average speed = 67.6 meters / 27 seconds

Calculate the average speed to two decimal places.

Question 9:

To find the acceleration rate of a car that accelerates from 35.8 m/s to 54 m/s in 42 seconds, we can use the equation:

Acceleration = (Change in velocity) / Time

Given:

Initial velocity = 35.8 m/s

Final velocity = 54 m/s

Time = 42 seconds

Plugging in the values:

Acceleration = (54 m/s - 35.8 m/s) / 42 seconds

Calculate the acceleration rate to two decimal places.

Question 10:

To calculate the initial speed of a ball that hits the ground 2.62 seconds after being dropped from rest, we can use the equation:

Initial velocity = Distance / Time

Given:

Distance = 0 (since it's being dropped from rest)

Time = 2.62 seconds

Plugging in the values:

Initial velocity = 0 / 2.62 seconds

Calculate the initial speed, rounding the answer to one decimal place.

Question 11:

To calculate the distance traveled by a car traveling at a speed of 162 m/s in 3.9 seconds, we use the formula:

Distance = Speed × Time

Given:

Speed = 162 m/s

Time = 3.9 seconds

Plugging in the values:

Distance = 162 m/s × 3.9 seconds

Calculate the distance traveled, rounding the answer to two decimal places.

Learn more about acceleration rate from the given link!

https://brainly.com/question/25876659

#SPJ11