Which of the following equations has both -7−7minus, 7 and 777 as possible values of fff?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
f^2 = 49f
2
=49f, squared, equals, 49

(Choice B)
B
f^3 = 343f
3
=343f, cubed, equals, 343

(Choice C)
C
None of the above

Answer:

x = 9

Step-by-step explanation:

Both the triangles are similar, so the corresponding sides are also similar.

That is,

12 / 8 = x / 6

Cross multiply,

x * 8 = 12 * 6

8x = 72

Divide 8 on both sides,

x = 72 / 8

x = 9

Answer:

He would need 2/4 gallon... if not then sorry

Step-by-step explanation:

4/7 of a chance.  There are a total of 14 cars.  6 are yellow.  8 are not.  8/14 of the cards are not yellow.  8/14 simplifyed= 4/7.

Answer: Hello there user! Your answer would be 8/14, or, simplified, 4/7.

Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.

The radius of a circle with equation is x² + y² + 8x - 6y + 21 = 0 is 2  units .

In the question ,

it is given that ,

the equation of circle is ⇒ x² + y² + 8x - 6y + 21 = 0 ,

we know that the general equation of the circle is x²+y²+2fx+2gy+c=0

so , the radius of the circle is calculated using the formula ,

radius = √(f² + g² - c)

On comparing the given equation with general equation

we get , the values of f as 4 and g as -3 .

So after substituting the values of f , g and c in the radius formula ,

we get ,

radius = √(16 + 9 - 21)

= √(16 + 9 - 21)

= √(25 - 21)

= √(4) = 2 .

Therefore , the radius of given circle is 2 units .

The given question is incomplete , the complete question is

What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0  ?

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Answer:

Can you please send the length of the height if possible.

Step-by-step explanation:

Also the the formula to solve this is the exact opposite of Area= base times height divided by 2.

first step you need to do is multiply 4.5 by 2 to get 9. then you have to divide 9 by the height. Then you will get the value of the height. Hope you understood!

Answer: 3

Step-by-step explanation: 3

Answer:

Vertical angles

Step-by-step explanation:

When two lines intersect each other, each pair of angles formed without arm common arm is called vertical angles and they are congruent.

Answer:

Yes, this is an arithmetic sequence.

The difference is -3, so a(n+1) = a(n) - 3

The 21st term is -53, calculated as follows:

a(21) = 7 + (21 - 1)(-3) = -53

The next three terms are -5, -8, and -11.

The number 3 107/125 is greater than  3.151.

A number that is stated as bοth a whοle number and a fractiοn, such 3 1/2, is referred tο as a mixed number. A fractiοn, such as 7/2, that has the numeratοr higher than οr equal tο the denοminatοr is referred tο as an imprοper fractiοn. Yοu must multiply the whοle number by the denοminatοr, add the numeratοr, and then place it οver the οriginal   denοminatοr in οrder tο cοnvert a  mixed number tο an imprοper fractiοn.

Divide the numeratοr by the denοminatοr and then write the residue as a fractiοn with the same denοminatοr tο turn an imprοper fractiοn intο a mixed number.

The given numbers are: 3.515 οr 3 107/125.

Cοnvert 3 107/125 tο a decimal.

3 107/125 = (3 * 125 + 107)/125 = 482/125 = 3.856

Cοmparing the twο 3.515 and 3.856 we οbserve that 3.856 is greater than 3.515.

Hence, the number 3 107/125 is greater than 3.151.

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Mr. Alvarez creates a walkway using 3 cement slabs, each with a volume of 4 cubic feet. The total volume used for the walkway is 14 cubic feet.

1. Each cement slab has a volume of 4 cubic feet, and Mr. Alvarez uses 3 slabs for the walkway.

2. Therefore, the total volume of the slabs used for the walkway is 4 cubic feet per slab * 3 slabs = 12 cubic feet.

3. However, we are given that the total volume used for the walkway is 14 cubic feet.

4. To account for the additional 2 cubic feet, Mr. Alvarez must have used some additional material, such as mortar or filler, to secure the slabs and fill any gaps.

5. Thus, the walkway consists of 3 cement slabs with a total volume of 12 cubic feet, and an additional 2 cubic feet of material were used to complete the walkway, bringing the total volume used to 14 cubic feet.

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The probability of time lapsed between two consecutive trades longer than 17 seconds is equal to 0.87 or 87%.

Mean of the normal distribution (μ) = 15 seconds

To find the probability that the time lapsed between two consecutive trades on the New York Stock Exchange will be longer than 17 seconds,

Use the information provided about the normal distribution and probabilities.

Determine the probability of the time lapsed being greater than 17 seconds.

First, the z-scores corresponding to the given probabilities.

To find the z-score for the lower bound, where the time lapsed is below 13 seconds,

P(X < 13) = 0.07

This gives us the area to the left of 13 seconds, and

The z-score corresponding to this probability.

Using a standard normal distribution calculator,

The z-score corresponding to the cumulative probability of 0.07.

Let's denote this z-score as z₁.

Next, the z-score for the upper bound, where the time lapsed is between 16 and 17 seconds,

P(16 < X < 17) = 0.13

This gives us the area between 16 and 17 seconds, and

the z-scores corresponding to these probabilities.

The z-scores corresponding to the cumulative probabilities of 0.13 for both 16 seconds and 17 seconds.

Let's denote these z-scores as z₂ and z₃, respectively.

Now, to find the probability that the time lapsed between two consecutive trades will be longer than 17 seconds,

calculate the area to the right of 17 seconds under the normal distribution curve.

P(X > 17) = 1 - P(X < 17)

Since the z-scores corresponding to the lower bounds (13 seconds) and the upper bounds (16 seconds and 17 seconds),

calculate the probability using the cumulative distribution function (CDF) or the standard normal distribution.

P(X > 17) = 1 - P(X < 17)

P(X > 17) = 1 - P(Z < z3)

Using the z-scores, calculate the probability.

Please use standard normal distribution notation with Z representing the z-score.

Probability (P(Z < z₁)) = 0.07

Probability (P(Z < z₂)) = 0.13

Probability (P(Z < z₃)) = 0.13

Now, let's substitute these probabilities into the equation,

P(X > 17) = 1 - P(Z < z₃)

P(X > 17) = 1 - 0.13

Finally, calculate the probability,

P(X > 17) = 1 - 0.13

P(X > 17) = 0.87

Therefore, probability of time lapsed between two consecutive trades on New York Stock Exchange will be longer than 17 seconds is 0.87 or 87%.

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Answer:

5/6

Step-by-step explanation:

I used my graphing calculator, but you can use the equation y-y/x-x.

At the instant when the volume of the sphere is 6161 cm³, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

The formula for the volume of the square is:

V = 4/3 πr³

Take the derivative with respect to t (time):

dV/dt = 4 πr² dr/dt

At an instant, the volume of the square is 6161 cm³

6161  = 4/3 πr³

r³ = (3/4) x 6161 / π = 1,470

r = 11.37 cm

dV/dt = 4 πr² dr/dt

399 = 4 π (11.37)² dr/dt

dr/dt = 0.24 cm/minute

The surface area of a sphere is:

A = 4 πr²

dA/dt =  8 πr dr/dt

          = 8 π (11.37) (0.24) = 68.5

Hence, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

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Answer:

60°

Step-by-step explanation:

Because that is an equiangular triangle all the angles are the same. Which is 60°

Answer:

60 Degrees

Step-by-step explanation:

Because it's an equilateral triangle and all the angles are all the same!

It adds up to 180 Degree

Answer:

Answer D I believe :)

Step-by-step explanation:

x^4-33x^2-108

rewrite as a difference

x^4+3x^2-36x^2-108

factor out x^2

x^2(x^2+3)-36x^2-108

factor out -36

x^2(x^2+3)-36(x^2+3)

factor out x^2+3

(x^2+3)(x^2-36)

factor x^2-36

(x^2+3)(x-6)(x+6)

set x^2+3 equal to 0

x^2+3=0

solve for x

x=+/-\(\sqrt{3}\)i

set at factors

(x+6)(x-6)(x+\(\sqrt{3}\)i)(x-\(\sqrt{3}\)i)

I hope this helps.

Answer:

8

Step-by-step explanation:

To obtain scale factor of a particular drawing:

We use the relation:

Scale factor = Scale drawing dimension / original dimension

Given :

Scale drawing dimension = 24

Original dimension = 3

Scale factor = 24 / 3

Scale factor = 8

Answer:

an enlargement

Step-by-step explanation:

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

(a)

• C(x)=88000+5500x

• R(x)=7500x

(b)55 times

Explanation:

Let the number of performances = x

• The cost of producing the musical = $88,000

• The cost per performance = $5900

(a)Thus, the total cost for x performances:

The revenue per performance is $7500, therefore, the equation for revenue is:

(b)To break even, the cost must be equal to revenue.

Next, solve for x.

The musical must be performed 55 times to break even.

Answer:

\(\boxed{k=\frac{p}{r \ s} }\)

Second option is correct.

Step-by-step explanation:

We have been given that p varies jointly with r and s.

Thus, we can write it mathematically as

\(p=krs\)

Here, k is the constant of variation.

Now, we have to find the value of k.

Divide the above equation by rs

\(\dfrac{p}{r \ s}=\dfrac{kr\ s}{rs}\)

\(k=\dfrac{p}{r s}\)

Hence, the value of k is \(k=\dfrac{p}{r s}\)

Second option is correct.

Answer:

B

Step-by-step explanation:

edge 23

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

The largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we need to evaluate the function f(x) = ∫\(x^6\) f(t) dt for each given value of x.

The given function represents the indefinite integral of f(t) with respect to t, where f(t) is the function whose graph is given.

The integral represents the area under the curve of f(t) from 0 to \(x^6\). By evaluating the integral at different values of x, we can find the corresponding values of F(x).

Since the function f(t) is not specified, we cannot determine the exact values of F(0), F(3), F(6), F(9), and F(12) without additional information.

The values of F(x) depend on the specific form and properties of f(t).

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we would need to know the function f(t) and evaluate the integral at each specific value of x.

Without further information, it is not possible to determine which of the given values is the largest.

In summary, the largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

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When the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

If a 3 is five times more likely to appear than each of the other five numbers on the die, we can assign the following probabilities to each outcome:

\(P(1) = P(2) = P(4) = P(5) = P(6) = x\) (some common probability)

\(P(3) = 5x\)

Since the sum of the probabilities for all possible outcomes must be equal to 1, we have:

\(P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + x + 5x + x + x + x = 9x = 1\)

Solving for x, we get:

\(x = 1/9\)

Therefore, the probabilities for each outcome are:

\(P(1) = P(2) = P(4) = P(5) = P(6) = 1/9\\P(3) = 5/9\)

So when the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

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The weakest linear correlation between independent (x) and dependent (y) variables is represented by an r-value of 0, indicating no linear relationship.

In statistics, the correlation coefficient (r-value) measures the strength and direction of the linear relationship between two variables.

An r-value of 0 means that there is no linear correlation between the independent (x) and dependent (y) variables. This implies that as the x values change, there is no predictable pattern or trend in the corresponding y values.

In other words, knowing the x value provides no information about the y value. Therefore, the option B. 0 represents the weakest linear correlation among the given choices, as it suggests a complete absence of linear relationship between x and y.

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The cylinder with maximum volume has a radius of 6.5 feet and a height of 2.5 feet.

Let the radius and height of the cylinder be r and h, respectively. Since the cylinder is inscribed in the cone, its height and radius must satisfy the following conditions:

The height of the cylinder must be equal to the height of the cone, i.e. h = 2.5 feet.

The radius of the cylinder must be less than or equal to the radius of the base of the cone, i.e. r ≤ 6.5 feet.

To maximize the volume of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

Substituting h = 2.5, we get:

V = 2.5πr^2

Now, we can express the volume of the cylinder in terms of a single variable, r. To do this, we use the fact that the cylinder is inscribed in the cone, so the cross-sectional area of the cylinder is a fraction of the cross-sectional area of the cone. Specifically, the ratio of the areas is equal to the square of the ratio of the radii:

r/6.5 = h/2.5

Solving for h, we get:

h = 2.5r/6.5

Substituting into the formula for the volume of the cylinder, we get:

V = 2.5πr^2 = 2.5πr^2(h/2.5) = πr^2(2r/6.5)

Simplifying, we get:

V = (4π/13)r^3

To find the value of r that maximizes V, we can take the derivative of V with respect to r and set it equal to zero:

dV/dr = (4π/13)3r^2 = 0

Solving for r, we get:

r = 0

This is not a valid solution since r must be greater than zero. Therefore, we must look for a maximum value of V on the interval 0 < r ≤ 6.5.

To do this, we can evaluate V at the endpoints of the interval and at any critical points in the interior. Since we already know that there are no critical points, we just need to evaluate V at the endpoints:

V(0) = 0

V(6.5) = (4π/13)(6.5)^3 ≈ 724.06

Therefore, the cylinder with maximum volume has a radius of 6.5 feet and a height of 2.5(6.5/6.5) = 2.5 feet.

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Step-by-step explanation:

(22 + (-6/20) × (214 - 10 ( -6/20)) - (284.75)

(22 - 6/20) × (214 + 60/20) - (284.75)

(22 - 0.3) × (214 + 3) - (284.75)

(21.7 × 217) - 284.75

4708.9 - 284.75

= 4424.15

Answer: 1/8

Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!

Answer:

$41.05

Step-by-step explanation:

\(\frac{40}{100} =\frac{16.42}{x}\)

\(40x=1642\)

\(x=41.05\)

So, the original price is $41.05.

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

9, 16, 23, 30

Step-by-step explanation:

The arithmetic means are the terms of an arithmetic sequence, that is

2, a₂, a₃, a₄, a₅, 37

The nth term of the sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and a₆ = 37 , that is

a₁ + 5d = 37

2 + 5d = 37 ( subtract 2 from both sides )

5d = 35 ( divide both sides by 5 )

d = 7

Then

a₂ = a₁ + 7 = 2 + 7 = 9

a₃ = a₂ + 7 = 9 + 7 = 16

a₄ = a₃ + 7 = 16 + 7 = 23

a₅ = a₄ + 7 = 23 + 7 = 30

The 4 arithmetic means between 2 and 37 are 9, 16, 23, 30