An oatmeal container has a volume of 269 cubic inches. If the radius of the container is 3 cm, which statement below describes how to calculate the height?

Answers

Answer 1

The height of the volume of the container is 93.898cm.

We have given that,

An oatmeal container has a volume of 269 cubic inches.

Volume=269 cubic inches.

Radius=3cm

What is the formula for volume?

[tex]V=\pi r^2h[/tex]

[tex]269=\pi (3)^2h\\\269=9\pi h\\\h=\frac{269\pi }{9}\h=93.89871[/tex]

The height of the volume of the container is 93.898cm.

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Related Questions

Assessing the regression model on data other than the sample data that was used to generate the model is known as _____. Group of answer choices approximation cross-validation graphical validation postulation

Answers

Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

How to complete the blank?

From the question, we have the following highlights:

Sample data, not usedThe model is a regression model

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

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John is 36 years old now. 1/4 of his age is equal to 1/3 of sam's age. find their total age in 5 years time

Answers

Answer:

John = 41 years

Sam = 32 years

Step-by-step explanation:

I need this Asap Please and Thank you​

Answers

Answer:

[tex]a= 10,\:\: b=6[/tex]

Step-by-step explanation:

[tex]\frac{7^2\:.\:7^8}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow\frac{7^{2+8}}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow\frac{7^{10}}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow {7^{10-4}}={7^{a-4}}=7^b[/tex]

[tex]\rightarrow {7^{6}}={7^{a-4}}=7^b[/tex]

[tex]\rightarrow 6=a-4=b[/tex] (Bases are equal so exponents will also be equal)

[tex]\rightarrow 6=a-4,\:\: 6=b[/tex]

[tex]\rightarrow 6+4=a,\:\: 6=b[/tex]

[tex]\rightarrow a= 10,\:\: b=6[/tex]

find the total surface area of this triangular prism 21cm 29cm 20cm 22cm

Answers

Answer:

[tex]\huge\boxed{SA=1960cm^2}[/tex]

Step-by-step explanation:

We have:

2 rectangular triangles with legs 20cm and 21cm3 different rectangles 20cm × 22cm, 21cm × 22cm and 29cm × 22cm

The formula of an area of

a rectangular triangle:

[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]

a, b - legs

a rectangle a × b:

[tex]A_{\square}=a\cdot b[/tex]

Calculate:

Rectangular triangle

[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]

Rectangles:

[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]

Total surface:

[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?



The direct distance from A to C is more than yards.

Answers

The direct distance form A to C is represented by the inequality

AC < 40 yards.

What is a Triangle ?

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Distance form point A to B is 15 yards

Distance form point B to C is 25 yards.

Distance AC = ?

In a Triangle the sum of two sides is always greater than the third side.

Therefore

AC < 15 +25

AC < 40 yards.

Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.

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Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

6 m

Step-by-step explanation:

[tex]sin22 = x/16\\x = 16sin22\\x = 6[/tex]

what is the measure of

Answers

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

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What is the radius for a circle whose equation is +=367
O A 18
OB. 1296
O C. 6
O D. 36

Answers

You are correct the answer is a:18
The answer is 18 correct

Passengers under the age of 8 and whose height is less than 57 inches must be in the _________ seat of a vehicle.

Answers

Passengers under the age of 8 and whose height is less than 57 inches must be in the back seat of a vehicle.

When you journey in the backseat of a automobile, you take a seat within the row of seats behind the motive force. Kids once in a while combat over the front seat, not wanting to take a seat within the backseat. you may tour within the backseat of a car except you're the driver or are using a two-seat sports activities vehicle.

The cushion in which the driving force or passenger sits is either known as a horizontal cushion or seat cushion. The back of the automobile seat is called the seat again however it could additionally be called a backrest.

An infant protection seat every so often referred to as an toddler protection seat, infant restraint device, baby seat, child seat, car seat, or booster seat is a seat designed particularly to shield youngsters from injury or death throughout automobile collisions.

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The first term of an arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the last term is 81.

Answers

Answer:

n = 53

Step-by-step explanation:

the sum to n terms of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and a₅ = 9 , then

3 + 4d = 9 ( subtract 3 from both sides )

4d = 6 ( divide both sides by 4 )

d = 1.5

then solving for n

3 + 1.5(n - 1) = 81 ( subtract 3 from both sides )

1.5(n - 1) = 78 ( divide both sides by 1.5 )

n - 1 = 52 ( add 1 to both sides )

n = 53

there are 53 terms in the progression

Answer:

53 terms

Step-by-step explanation:

Finding common difference :

a = 3a + 4d = 94d = 6d = 1.5

Solving :

a_{n} = a + (n - 1)d81 = 3 + 1.5n - 1.579.5 = 1.5nn = 53

Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.

Answers

Answer:

(0, 0) and (2, 1760)

Step-by-step explanation:

Pretty sure that is the answer.

Which formulas could you use to find the volume of a right circular
cone?
OA) V = B-h where B = I-w
OB) V=B-h where B=1r'
OC) V=B-h where B = Tr
OD) V=B-h where B=1-w

Answers

Answer:

The formula for the volume of a cone is V=1/3hπr².

A competition to catch the most rainbow trout on Lake Rainbow pitched the men against the ladies. 16 men and 12 women participated. Each participant had a total of 15 attempts before they retired from the competition. It was predicted that the men would have a 9% chance of catching a rainbow trout at each attempt. One participant's experience resulted in 3 successful catches. The probability that this participant was a woman is 40%. Find the probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman.

Answers

The probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman is 0.0042.

P(woman) = 12/28

= 3/7

P(men) = 16/28

= 4/7

P(3 trouts) = P(3 trout | women)*P(woman) + P(3 trout | men)*P(man)

= P(3 trout | women)*(3/7) + (15C3 * (0.09^3)*(1-0.09)^(15*3))*(4/7)

= P(3 trout | women)*(3/7) + (0.00476)*(4/7)

P(woman | 3 trout) = P(3 trout | women)*P(woman) / P(3 trouts)

{P(3 trout | women) = p}

p*(3/7) / (p*(3/7) + (0.00476)*(4/7)) = 0.40

p*(3/7)/0.40 = (p*(3/7) + (0.00476)*(4/7))

p*((3/7)/0.40 - (3/7)) = (0.00476)*(4/7)

p = [(0.00476)*(4/7)] / [((3/7)/0.40 - (3/7))]

= 0.0042

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what is te equation of the line that passes through the point (6, -5) and is perpendicular to the line represented by y= 3/4x +2?

Help me pls

Answers

y=Mx+c
Since both lines are perpendicular, then their product is -1
y = 3/4x. +. 2
M= 3/4
M. M2 = -1
3/4 . M2 = -1
M2 = -4/3

M2=y-y1/x- x2
Since th
M2=y - (-5). /. x- 6
-4/3 = y+5. / x-6
-4(x-6) = 3(y+5)
-4x + 24 = 3y + 15
3y= -4x+24-15
3y = -4x + 9
y= -4/3x + 3


Answer is y= -4/3x + 3

Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Both functions are increasing, but function f increases at a faster average rate. B. Only function f is increasing, but both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Only function f is increasing, and only function f is negative.

Answers

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume [tex]f(x)=ab^x+c[/tex]

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

[tex]f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}[/tex]

[tex]f'(x) > 0[/tex]

So we can say that f(x) is an increasing function.

[tex]g(x) = - 18 (\frac{1}{3} )^ x + 2[/tex]

[tex]g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)[/tex]

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) [tex]g'(x) > f'(x)[/tex]

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

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Proving Triangle Similarity


helpppppppppppppppp edge 2022


30 reward thing

edit: nvm i got it

Answers

The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a given two triangles as shown in the picture.

As we have given QR ⊥ PT

And

Angle QPR ≅ Angle STR  (given)

From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.

Angle QRP ≅ Angle SRT

By angle-angle or AA

Triangle PQR is similar to Triangle TSR

Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

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PLEASE ANSWER ASAP!!!!!!!!
Sally plots (−4,π)on the polar plane.

How does she proceed?

Drag a phrase to each box to correctly complete the statements.

Is this correct???

Answers

The drag phase you have given the interference would be a positive x-axis.

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis.

The first block then should be the negative x-axis if r is positive and on the positive x-axis if r is negative.

What is the interference form?

It is a phenomenon in which two or more waves superimpose to form a resultant wave of greater or lower amplitude.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence.

Which would mean interference from the above statements, from the drag phase you have given the interference would be a positive x-axis.

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Triangle AA'B'C' is the image of AABC under a dilation.

Answers

The scale factor is 3

2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3

Answers

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

What is number line?

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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2m² + 2m – 12 = 0
m=?
a. 2,-12
b. 3,1
c. 1.-3
d. -2.2​

Answers

Step-by-step explanation:

F1/A1 = F2/A2

10/2=F2/4

5=F2/4

F2=5x4

F2=20

Add.

(3+x3+3x2)+(2x3−2−4x2)



Express the answer in standard form.

Enter your answer in the box.

Answers

Step-by-step explanation:

(3+3+3*2)+(2*3-2-4*2)

The value of the addition of the two polynomials is 3x³ - x² + 1.

What is addition of polynomial?

The addition of polynomials involves combining like terms of two or more polynomials to create a new polynomial. A polynomial is an expression consisting of variables, coefficients, and exponents, connected by addition and subtraction operations.

To add the given polynomials:

(3 + x³ + 3x²) + (2x³ - 2 - 4x²)

First, let's group the like terms:

(x³ + 2x³) + (3x² - 4x²) + (3 - 2)

Combine the coefficients of the like terms:

3x³ + 3x² - 4x² + 3 - 2

Simplify the expression:

3x³ - x² + 1

Therefore, the sum of the given polynomials is: 3x³ - x² + 1.

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whats the answer to this?​

Answers

Answer:

[tex](x)(x^{2} +9x+8)[/tex]

Step-by-step explanation:

GCF is a way to simplify a polynomial by separating out one factor.

GCF

GCF stands for greatest common factor. This means the GCF is the largest number that is a factor of each term.

For example, the GCF of 15 and 25 is 5 because that is the greatest common factor between the 2 numbers.

Finding the GCF

To find the GCF, first look at the coefficients of each term.

In order, the coefficients are 1, 9, and 8

These numbers have no shared factors besides 1, which doesn't help because factoring out 1 does nothing.

However, next, we can move on to the variables. You can factor out variables the same way you do constants.

All of the terms share a GCF of x.

Factoring Out X

The question states that we only need to do GCF to solve. So, we can just factor out x. Remember that factoring is like dividing each term by x.

The completely factored expression is:

[tex](x)(x^{2} +9x+8)[/tex]

Here we have divided each term by x and then added x as a new factor in the expression.

Answer:

X(x+1)(x+8)

Step-by-step explanation:

U just have to find the comment number

Construct a truth table for the following symbolic statement.

Use the type of truth table where each variable or operator in the given expression has its own column. Fill in the rows of the truth table one at a time.

Answers

The truth table is completed for each column as T T F F T T T

What is a truth table?

A truth table is a mathematical table which shows all the truth values of a given combination of logic statements.

Analysis:

The truth table is shown in the attached file

in the attached file, the first two columns were given,

The third column is the negation of p, and P is true(T) which means its negation is false(F).

The fourth column is the negation of Q, which means Q is true(T) so its negation is false(F).

In the fifth column, negation P is implies negation Q. The truth table for implication, is only false if Q is false, else it is True.

Same as in the sixth column.

The last column is bi-implication, the truth table for this only true, if both statements are false or both are true else, it is false.

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Given two points of a line, find its slope.
(3, 1), (7,4)

Answers

Answer:

3/4 is the slope

Step-by-step explanation:

25:50=4x:8. What is the value of X​

Answers

Answer: X = 1

Step-by-step explanation:

25/50 = 4x/8

First, multiply both sides by 8, therefore, the 8 on the right side will be canceled out.

25*8/50 = 4x*8/8

25*8/50 = 4x

25*8 = 200

200 divided by 50 = 4

4 = 4x

After that, you just need to divide 4 on both sides, therefore, the 4 on the right side will cancel out.

4/4 = 4x/4

1 = x

X = 1

Hope I helped! :]

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours
there will be 800 bacteria.

Answers

The population after t hours is 160 x (1.3797)^t.

What is the population after t hours?

The first step is to determine the growth rate of the bacteria:

growth rate = (future population / initial population) ^(1/number of years) - 1

(800 / 160)^(1/5) - 1= 37.97

The exponential function : 160 x (1.3797)^t

Here is the complete question:

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours

there will be 800 bacteria. Express the population after t hours as a function of t. population:

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whats 555 divided by 5

Answers

Answer:

111

Step-by-step explanation:

555÷5=111
and just to check, 5×111=555

Answer:

555 divided by 5 = 111

Step-by-step explanation:

This is common knowledge. The 5 in the hundreds place is divisible by 5 to get a quotient of 1. The 5 in the tens place is also divisible by 5 to get a quotient of 1 and the same is equally true for the 5 in the ones place.

Hence, the quotient of 555/5 = 111

Hope this helps! :D

Express cos L as a fraction in simplest terms

Answers

Answer:

cos L = [tex]\frac{23}{25}[/tex]

Step-by-step explanation:

cos L  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]

∠C, ∠F are rt. ∠'s; AB = DE; BC = EF

Answers

abt=de yeah hope it helps

Marquis wrote the linear regression equation y = 1.245 x minus 3.684 to predict the cost, y, of x songs purchased. marquis spent $40 on songs. which is the best estimate of the number of songs that marquis purchased? 29 32 35 46

Answers

Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

Answer:

Answer is C.) 35

Step-by-step explanation:

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