A storage tank has a height of 10 feet and a diameter of 6 feet. The tank is half filled with oil. ,6 ft 10 ft Approximately how much oil, in cubic feet, is currently in the cylindrical tank?

Answer:

x-intercept (2, 0)

Step-by-step explanation:

y = 2x² - 6x + 4

Factor

(2x - 2)(x - 2) = 0

2x - 2 = 0

2x = 2

x = 1

x-intercept (1, 0)

x - 2 = 0

x = 2

x-intercept (2, 0)

By using the factor method,

the other x-intercept of the parabola is (2, 0).

A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the Directrix ).

Given:

One x-intercept for a parabola is at the point (1,0).

In factor form : (x - 1)

And the quadratic function,

y = 2x² - 6x + 4.

To find the factor of the equation:

2x² - 6x + 4 ÷ (x - 1)

We get,

(2x - 4) = 0

x = 4/2

x = 2

The other intercept of the parabola is (2, 0).

Therefore, the other x-intercept of the parabola is (2, 0).

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Given:

To find the volume of an oblique cylinder, use the formula V = πr²h where,

We can substitute the given values to the formula.

Answer:

Wxndy~~

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

A=πr2

Step-by-step explanation:

radius is half a circle and pi is 3.14

Answer

w+(w+5)=61

Step-by-step explanation:

Answer:

an answer could be Patricia is 33 and wyatt is 28 so x=33

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

if log 32 base 4 = x, then 32^x = 4 -> x = 2/5

if log 243 base 9 = y, then 243^y=9 -> y = 2/5

therefore, the answer is 2/5+2/5=4/5

Answer:

57.7 cubic inches

Step-by-step explanation:

1 ounce = 1.8 cubic inches

32 ounces = 57.7 cubic inches

So, the capacity is 57.7 cubic inches.

Answer:

Step-by-step explanation:

All numbers:

2, 3, 4 → 3

Numbers less than 4:

2 and 3 → 2

Odd number:

3 → 1

The probability of picking a number less than 4:

The probability of picking an odd number:

The probability of picking a number less than 4 and then picking an odd number:

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer:

150° I guess I'm not really sure

Answer:

150

Step-by-step explanation:

These angles will always equal to 360

s = 30

1 = 150

30 + 30 + 150 + 150 = 360

Have a good day! I hope this helps!

The first five terms of the sequence. an = [(−1)^n−1 / 3n] a1 = 1/3, a2 = -1/6, a3 = 1/9, a4 = -1/12 and a5 = 1/15

\(a1 = (-1)^0 / (3*1) = 1/3\\a2 = (-1)^1 / (3*2) = -1/6\\a3 = (-1)^2 / (3*3) = 1/9\\a4 = (-1)^3 / (3*4) = -1/12\\a5 = (-1)^4 / (3*5) = 1/15\\\)
The sequence is given by the formula an = [(−1)^(n−1) / 3n]. To find the first five terms, simply plug in the values of n from 1 to 5:

a1 = [(−1)^(1-1) / 3(1)] = [1 / 3] = 1/3
a2 = [(−1)^(2-1) / 3(2)] = [-1 / 6] = -1/6
a3 = [(−1)^(3-1) / 3(3)] = [1 / 9] = 1/9
a4 = [(−1)^(4-1) / 3(4)] = [-1 / 12] = -1/12
a5 = [(−1)^(5-1) / 3(5)] = [1 / 15] = 1/15

So, the first five terms of the sequence are:
a1 = 1/3
a2 = -1/6
a3 = 1/9
a4 = -1/12
a5 = 1/15

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This is the complement of both flips coming up heads, so the probability is 3/4. The expected value of X is -$1.

To find the expected value of the random variable X, we need to calculate the weighted average of its possible outcomes based on their probabilities.

Given:

If both flips come up heads, X = -7 (loss of $7)

If at least one flip comes up tails, X = 1 (win of $1)

Let's calculate the probabilities of each outcome:

Both flips come up heads:

The probability of getting a head on a fair coin flip is 1/2.

Since the flips are independent events, the probability of getting two heads in a row is (1/2) * (1/2) = 1/4.

At least one flip comes up tails:

This is the complement of both flips coming up heads, so the probability is 1 - 1/4 = 3/4.

Now, let's calculate the expected value of X:

E(X) = (-7) * P(X = -7) + (1) * P(X = 1)

E(X) = (-7) * (1/4) + (1) * (3/4)

= -7/4 + 3/4

= -4/4

= -1

Therefore, the expected value of X is -$1.

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Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer:

Face Value = 8

Place Value = 80

Step-by-step explanation:

What is the difference between face value and place value of 8 in the number 281 ?

First we define Place value and Face Value

Place value

Place value is defined as the digit multiplied wherever it is placed, either by tens, hundreds or thousands.

Face Value

Face value is defined as the digit itself within a number.

Now: we will find face value and place value of 8 in the number 281.

Face Value = 8

Place Value = 8 x 10 (because 8 is at tens place) = 80

So, the answer is:

Face Value = 8

Place Value = 80

Answer:

1A 60. B 100. C. 80. 2. 84 / 75 / 77

The steps used to solve the quadratic equation are

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Given the equation;

8x² + 16x + 3 = 0

Collect like terms

8x² + 16x = -3

Take the common factors, we have

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation in the right side

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square

\(8(x + 1)^2} = 5\)

Make 'x' subject

\((x + 1)^2= \frac{5}{8}\)

\((x + 1) =\) ±\(\sqrt{\frac{5}{8} }\)

\(x =\) -1 ±\(\sqrt{\frac{5}{8} } }\)

Thus, we can clearly see the steps used to solve the quadratic equation are

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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The probability that she gets 1 purple marble, 1 pink marble, and 2 green marble are 0.03.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

The probability of getting 1 purple marble = 6/12 = 1/2

Now the number of marbles in jar B = 12 - 1 = 11

The probability of getting 1 pink marble from jar B = 4/11

The probability of getting 1 green marble from jar A = 4/9

The number of remaining marbles = 9 - 1 = 8 and the remaining green marble = 3.

The probability of getting 2nd-time green marble = 3/8

The probability of getting 1 purple marble, 1 pink marble, and 2 green marble ⇒ 1/2 x 4/11 x 4/9 x 3/8 = 48/1584 = 0.03

Hence "There is a 0.03 percent chance that she will receive one purple marble, one pink marble, and two green marbles".

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Answer:

The answers should be...

13. t= -2

14. x= -1

15. x= -1

Step-by-step explanation:

The  speed on the plane is 104mph while that of the wind is 78mph

The formula for calculating distance is expressed as:

Speed = Distance/Time

If the plane is flying with the wind;

3(r+ w) = 312

r + w = 104 ................... 1

If against the wind

4(r - w )= 312

r- w = 78 .................. 2

Add both equations

2r = 104  + 78

2r = 182

r = 91

Since r + w = 104

w = 104 - 91

w = 13

Speed on the plane  = r + w  = 91 + 13 = 104mi/hr

Speed on the wind = 91 - 13 = 78mi/hr

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The answer  is that the quadratic function is the one that models the situation.

The function that models the situation is a quadratic function in the form of ax² + bx + c.

In this scenario, the engineer is designing a flashlight with a parabolic mirror. A parabolic mirror has a shape that can be represented by a quadratic function. Quadratic functions are typically in the form of f(x) = ax² + bx + c, where a, b, and c are constants.

The explanation for this is that a parabolic mirror reflects light in a way that the reflected rays converge at the focus, which is the vertex of the parabola. This means that the distance between the reflector and the light source should be the same as the distance between the reflector and the focus. The shape of the parabolic mirror is defined by a quadratic function, which is y = ax²

The variable y represents the height of the mirror at a given point, x represents the distance from the vertex, and a is a constant that determines the steepness of the curve. Therefore, the engineer can use this equation to design the parabolic mirror that will maximize the output of the flashlight.
.

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Answer:

8.38 × 10^7

Step-by-step explanation:

first digit of number X 10 raised to however many digits are after the first

The solution is Option D.

The length of the Zambezi river written in scientific notation is

L = 8.38 x 10⁷ feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The length of the Zambezi river in feet L = 83,800,000 feet

Now , the scientific notation is given by in powers of 10

So ,

The value of L in scientific notation is given by

The value of L = 838 x 10⁵ feet

The value of L = 8.38 x 10² x 10⁵ feet

So , on simplifying the equation , we get

The value of L = 8.38 x 10⁷ feet

Therefore , the value of L is 8.38 x 10⁷ feet

Hence , The length of the Zambezi river written in scientific notation is

L = 8.38 x 10⁷ feet

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The given statement " If A and B are n x n and invertible, then A⁻¹B⁻¹ is the inverse of AB." is true because  A and B are invertible matrices, it means that they both have an inverse (A⁻¹and B⁻¹, respectively). The product of A and B, represented by AB, is also an n x n matrix.

To show that A⁻¹B⁻¹is the inverse of AB, we must demonstrate that the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix, which is an n x n matrix with 1s along the diagonal and 0s elsewhere.
To verify this, we'll multiply (AB) with (A⁻¹B⁻¹) and check if the result is the identity matrix:
(AB)(A⁻¹B⁻¹) = A(BA⁻¹)B⁻¹ (associative property of matrix multiplication)
Since B and A^-1 are inverses of each other, their product equals the identity matrix:

A(BA⁻¹)B⁻¹= AI B⁻¹(where I is the identity matrix)
Multiplying A and I doesn't change A:
AI B⁻¹= A B⁻¹
Now, A and B⁻¹are inverses of each other as well, so their product also equals the identity matrix:
A B⁻¹= I
Thus, A⁻¹B⁻¹ is indeed the inverse of AB, as the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix.

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Answer:

9³

Step-by-step explanation:

We need to find the value of \(\dfrac{9^5}{9^2}\).

We know that,

\(\dfrac{x^a}{x^b}=x^{a-b}\)

Here, a = 5 and b = 2.

So,

\(\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3\)

So, the answer to the given expression is 9³.

The median of the stem-and-leaf plot is 23

The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

Given:

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

Hence we get the required answer.

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Answer: YES!

Step-by-step explanation:

The greatest common factor (GCF) of 1 and 15 is 1. Convert 1/15 to its simplest form by dividing the numerator and denominator by its GCF

The prime factors of 15 are all the prime numbers that you multiply together to get 15. The prime factors of 15 are:

3 x 5

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:

1/15

= repeating

Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation:

Answer:

55 is one of the numbers in your problem that help you find the answer

Answer:

4

Step-by-step explanation:

Answer:

this don't make any sense bro

Step-by-step explanation:

what is the number in between 2 3