The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.

Answer:

The answer would be c) 8-14m

Answer:

C: 8-14m

Step-by-step explanation:

2(4-7m) = 8 - 14m

find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m

Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

Learn more about the Volume of a sphere at https://brainly.com/question/22716418

#SPJ4

Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function

A quadratic function can be written in the form y = a(x-h)² + k, where (h,k) is the vertex of the parabola and a determines the shape and direction of the opening of the parabola.

To satisfy the given conditions, we know that the vertex of the parabola must lie on the axis of symmetry x = -1, and that the maximum value of the function is 4.

Using this information, we can write the quadratic function as y = a(x+1)² + 4. To determine the value of a, we can use the fact that the function passes through the point (-16,-41).

Substituting these values into the equation, we get -41 = a(-16+1)² + 4. Solving for a, we get a = -1/9.

Therefore, the quadratic function that satisfies the given conditions is y = (-1/9)(x+1)² + 4.



To find a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41), we can use the general form y=a(x-h)²+k. Since the vertex of the parabola must lie on the axis of symmetry, we can set h=-1. The maximum value of the function occurs at the vertex, so we know k=4. By substituting the point (-16,-41) into the equation, we can solve for the value of a and obtain a=-1/9. Therefore, the quadratic function is y= (-1/9)(x+1))²+4.



In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function and the information given, we can determine the vertex and value of a, which allows us to write the equation of the parabola in standard form.

To know more about quadratic function visit:

brainly.com/question/18958913

#SPJ11

The correct answer is analysis of variance.

Given that,

Which ethnic group visits movie theaters most frequently That is the question being asked by a researcher. Metric is the dependent variable.

To find :  Which of the following tests is most appropriate

What is ANOVA ?

Analysis of variance (ANOVA) is a statistical technique for examining variations in means. It consists of a number of statistical models and the estimating techniques they require. The statistician Ronald Fisher is credited with creating the ANOVA. According to the law of total variance, which is the foundation of ANOVA, the observed variance in a given variable is divided into components that can be attributed to various causes of variation. ANOVA generalizes the t-test beyond two means by offering a straightforward statistical test for the equality of two or more population means. In other words, the ANOVA is employed to compare two or more means.

Therefore, the correct answer is analysis of variance.

To learn more about variance click here:

brainly.com/question/14116780

#SPJ4

Thus, the number of significant figures, the solubility of O2 in water is 2.3 x 10^-4 M.

To calculate the solubility of O2 in water, we can use Henry's law, which states that the concentration of a gas in a solution is directly proportional to its partial pressure above the solution.

First, we need to find the partial pressure of O2 in air:

partial pressure of O2 = mole fraction of O2 x total pressure
partial pressure of O2 = 0.21 x 0.83 atm
partial pressure of O2 = 0.1743 atm

Next, we can use Henry's law:

[O2] = kh x partial pressure of O2
[O2] = (1.3 x 10^-3 m/atm) x (0.1743 atm)
[O2] = 2.2629 x 10^-4 M

Rounding to the appropriate number of significant figures, the solubility of O2 in water is 2.3 x 10^-4 M.

Therefore, the correct answer is 2.3 x 10^-4 M.

Know more about the significant figures

https://brainly.com/question/28052368

#SPJ11

Answer:

My Answer (I apologize if it's wrong) 26.12

Step-by-step explanation:

I got -26.12

I multiplied -6.95 by 3 which gave me -20.85. Then I added the -5.27 to it and got -26.12.

Answer:

68

Step-by-step explanation:

let the angleAGF be y

then,

y+22=90

y=90-22

y=68

y=x(being vertically oppsite angle

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

To know more about linear approximation, visit:

https://brainly.com/question/1621850

#SPJ11

On solving the provided question, we can say that by addition T = 60 + 42 / 2 = 51

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.

value is   = T = 51 inches

by addition

T = 60 + 42 / 2 = 51

To know more about addition visit:

https://brainly.com/question/29560851

#SPJ4

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Answer:

\(2m=45\)

Step-by-step explanation:

He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.

With 95% confidence, the blue jelly beans in your sample will be within what range of 58% to 62%. The correct answer is C. (58%, 62%).

To determine the range for the percentage of blue jelly beans in the sample with 95% confidence, we can use the formula for a confidence interval for a proportion:

p ± zsqrt((p(1-p))/n)

where p is the sample proportion, z is the critical value for the desired confidence level (95% in this case), and n is the sample size.

First, we need to calculate the sample proportion of blue jelly beans:

p = 4000/6000 = 0.667

Next, we need to find the critical value of z for a 95% confidence level. Since we have a large sample size (n = 600), we can use a normal distribution and the z-score for a 95% confidence level is 1.96.

Now, we can substitute the values into the formula:

0.667 ± 1.96sqrt((0.667(1-0.667))/600) = (0.583, 0.62)

Therefore, with 95% confidence, we predict that the percentage of blue jelly beans in the sample will be within the range of 58.3% to 62%.

So the correct answer is C. (58%, 62%).

Learn more about probability at https://brainly.com/question/16936776

#SPJ11

The greatest common factor of 42 and 50 is 2.

The given numbers are 42 and 50

The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly.

To find the GCF of 42 and 50,

We can start by listing the factors of each number.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Similarly, the factors of 50 are 1, 2, 5, 10, 25, and 50.

By comparing the factors,

We can see that the highest common factor is 2.

Therefore, the GCF of 42 and 50 is 2.

This means that 2 is the largest number that can divide both 42 and 50 without leaving a remainder.

To learn more about the greatest common factor visit:

https://brainly.com/question/29584814

#SPJ6

Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

To know about probability visit here

https://brainly.com/question/11234923

#SPJ4

No, 25 is not a prime number. It can be divided by 5 without a remainder, so it has factors other than 1 and itself.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and by itself. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.

The factors of 25 are 1, 5 and 25. Prime numbers are numbers that are divisible by only 1 and themselves. So 25 is not a prime number.

To know more on prime number

https://brainly.com/question/11799672

#SPJ4

The average speed jerry takes for his entire journey is 15.56 km/hr

What is meant by average speed and how to calculate it?

The mean value of a body's speed over a span of time is its average speed. Since a moving body's speed fluctuates over time, the average speed formula is required. The values of total time and total distance traveled can be used even when the speed varies, and with the aid of the average speed formula, we can identify a single value that sums up the complete motion.

        Speed = Distance/Time

∴ Average speed = total distance traveled/total time taken

   ⇒ S = (d₁+d₂+d₃+...+dₙ)/(t₁+t₂+t₃+...+tₙ)   OR

   ⇒ S = (s₁t₁+s₂t₂+s₃t₃+...+sₙtn)/(t₁+t₂+t₃+...+tₙ)  OR

   ⇒ S = (d₁+d₂+d₃+...+dₙ)/(d₁/s₁+d₂/s₂+d₃/s₃+...+dₙ/sₙ)

a) Time taken for bus journey = Distance/Speed

                                                 = 7.2/36

                                                 = 0.2 hr

b) Speed by walk = Distance/time

                             = 1.2/(20/60)

                             = 3.6 km/hr

c) Average speed for his entire journey = (d₁+d₂+d₃+...+dₙ)/(t₁+t₂+t₃+...+tₙ)

                                                                  = (7.2+1.2)/(0.2+0.34)

                                                                  = 15.56 km/hr

To know more about Average speed visit:

brainly.com/question/9834403

#SPJ1

Answer:

$94.24

Step-by-step explanation:

Given :

Diameter of circular slab = 18feet

Thickness of slab = 3 inches ; inches to ft = 3 /12 = 0.25 feets

Volume of slab = πd²t/4 = (π*18²*0.25) / 4 = 63.6 ft³

1 cubic yard = 27 feet

Volume in yard = 63.6 / 27 = 2.356 yd³

Concrete = $40 per yd³

Cost = $40 * 2.356 = $94.24

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

To know more about annual interest rate,

https://brainly.com/question/33696451

#SPJ11

Answer:

9m³n⁴

Step-by-step explanation:

18m^5n^4 = 2×3² m^5n^4

45m^3n^6 = 3²×5 m^3n^6

GFC = 3² m³n⁴ = 9m³n⁴

Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at \(\$59.99\)

It is marked down by \(15\%\)

Final price is

\(\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99\)

The left cosets of {1, 11} in u(30) are: {{1, 11}, {7, 17}, {13, 23}, {19, 29}}.

Here, u(30) represents the group of integers that are relatively prime to 30 under multiplication.

To find the left cosets of {1, 11} in u(30), we need to find all the possible subsets of u(30) that are of the form a(1,11) = {a, a*11} for some integer a.

First, we can list the elements of u(30), which are: {1, 7, 11, 13, 17, 19, 23, 29}.

Next, we can choose an integer a that is relatively prime to 30 and form the subset a(1,11) as follows:

If a = 1, then a(1,11) = {1, 11}.

If a = 7, then a(1,11) = {7, 17}.

If a = 11, then a(1,11) = {11, 1}.

If a = 13, then a(1,11) = {13, 23}.

If a = 17, then a(1,11) = {17, 7}.

If a = 19, then a(1,11) = {19, 29}.

If a = 23, then a(1,11) = {23, 13}.

If a = 29, then a(1,11) = {29, 19}.

For similar question on cosets.

https://brainly.com/question/31981332

#SPJ11

The last sentence of the proof states, "By the Pythagorean theorem, since a squared plus b squared equals c squared, the sum of f and e is equal to c."

The proof establishes the proportions and similarities between the triangles in the diagram. It shows that the ratios of corresponding sides in the similar triangles hold true, leading to the proportions a/c = c/a and b/c = c/e. These proportions can be rearranged to obtain a2 = cf and b2 = ce.

The next step in the proof adds b2 to both sides of the equation a2 = cf, resulting in a2 + b2 = cf + b2. Since b2 = ce, we substitute ce into the equation, giving us a2 + b2 = cf + ce.

The final step applies the converse of the distributive property, which states that if a + b = c, then a(b + d) = ab + ad. In this case, we have a2 + b2 = cf + ce, which can be rewritten as a2 + b2 = c(f + e).

Therefore, the last sentence of the proof concludes that because a2 + b2 = c2 (as derived from the previous steps), it follows that f + e = c. This statement completes the proof and establishes the relationship between the lengths of the sides and the altitude in the right triangle. Option C is correct.

For more such question on  Pythagorean theorem, . visit :

https://brainly.com/question/343682

#SPJ8

Answer:

64:27

Step-by-step explanation:

If the ratio between the old and new radius is described with the ratio: 4:3, then if the first radius was 3, then the new radius is 4.

Also if you multiply 3 by (4/3) it also equals 4

The volume of a sphere is described as:  \(\frac{4}{3} \pi r^{3}\)

So let's plug in 3 and 4 and see their ratio.

\(\frac{\frac{4}{3}\pi 4^{3} }{ \frac{4}{3}\pi 3^{3} }} = \frac{4^{3} }{3^{3} } = \frac{64}{27}\)

The answer is 64/27 or (4/3)^3

Answer:

by a factor of 64/27   or   64:27

Step-by-step explanation:

Volume of a sphere = 4/3  pi  r^3    

    now increase the radius  by 4/3      ( this is  4:3)

               new volume = 4/3 pi  (4/3 r)^3  

                                     = 64/27  *  4/3 pi r^3

so the original volume is increased by  64/27

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

To know more about functions visit-

brainly.com/question/2273042

#SPJ11

68 miles per hour.

Simply divide the total number of miles by the time it took in a decimal format.

6 1/4 hours=6.25

425/6.25=68

Answer:

True,c,b,a

Step-by-step explanation:

Hopes this helped:)

Answer:

y = a(1 + r) ^v

y = 6200( 1 + 0.05)^v

y = 6200(1.05)^v

Step-by-step explanation:

Fred purchased a piece of artwork for 6200, and it is expected to increase in value by 5% per year. Write a function y to represent the value of the piece of artwork after v years.

The function we can used to represent the above question is given as Exponential Growth function.

Where the number of years = v

The value of the artwork = y

y = a(1 + r) ^v

Where

a = Initial value of the artwork = 6200

r = Growth rate = 5% = 0.05

v = number of years

Therefore, the function y to represent the value of the piece of artwork after v years is written as:

y = 6200( 1 + 0.05)^v

y = 6200(1.05)^v