the graph shown below expresses a radical function that can be written in the form f(x) =a(x+k) ^1/n +c what does the graph tell you about the value of k in this function

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

Just did it! <3

Hope this helps!

Answer:

the slope is \(\frac{7}{4}\)

Step-by-step explanation:

Given: 4y - 7x = 10; solve y

4y - 7x = 10; add 7x to both sides to isolate the 4y variable

4y = 7x + 10; now divide by 4

y = \(\frac{7}{4}\)x + \(\frac{10}{4}\); reduce the fraction

y = \(\frac{7}{4}\)x + \(\frac{5}{2}\); the slope is

Answer:

m= 7/4

Step-by-step explanation:

2090

Step-by-step explanation:

220 divided by 2 hours is 110 per hour

19 times 110 equals 2090

Answer:

-69/8

Step-by-step explanation:

-2/3y - 3/4 = 5

-2/3y = 23/4

y = -69/8

Answer:

the answer is D

Step-by-step explanation:

I don't have an explanation for you but I did my research and I'm positive D is the correct answer

hope this helps :)

The a) , c) & d) are convergent series and b) is divergent series.

a)

Given series,

\(\sum \limits^\infty_{n=1} (7+n(7))^{-7}\\ \\=\sum \limits^\infty_{n=1}7^{-7}+\sum \limits^\infty_{n=1}(7^nn)^{-7}\\\)

consider,

\(\sum \limits^\infty_{n=1}(7^nn)^{-7}=\sum \limits^\infty_{n=1}(n)^{-7}(7)^{-7}\\\\=\sum \limits^\infty_{n=1}(n)^{-7}(7)^{-7}\\\\=\sum \limits^\infty_{n=1}(n)^{-7}(\frac{1}{7})^{7}\)

comparing \(=\sum \limits^\infty_{n=1}(n)^kr^n\) we get,

\(k=-7\ and\ r=\frac{1}{7^7}=\frac{1}{823543}\)

here, \(|r|=|\frac{1}{7^7}|=1.2142*10^{-6}\) which is < 1

here |r| < 1,

Thus, the given series converges.

b)

Given series,

\(\sum \limits^\infty_{n=1} n^{\pi}(\frac{7^{2n}}{6^n+n^9})=\sum \limits^\infty_{n=1}n^kr^n\)clearly, k=π

To find r we need to use ratio test for \(a_n\)

\(a_n=\frac{7^{2n}}{6^n+n^9}\\\\L= \lim_{n \to \infty}|\frac{a_n+1}{a_n} |\\\\=\lim_{n \to \infty}|\frac{7^{2n+2}}{6^{n+1}+(n+1)^{9}}*\frac{6^{n}+(n)^{9}}{7^{2n}}|\\\\=\lim_{n \to \infty}|\frac{7^2(6^n+n^9)}{6{n+1}+(n+1)^9}|\\\\=\lim_{n \to \infty}|\frac{49(6^n+n^9)}{6^{n+1}+(n+1)^9}|\)

here \(r=\frac{49}{6}\) > 1

hence. the series diverges.

c)

Given series,

\(\sum \limits^\infty_{n=1}\frac{n^5+2}{n^6+7}\)

let \(u_n=\frac{n^5+2}{n^6+7}\)

take \(v_n=\frac{n^5}{n^6}=\frac{1}{n}\)

Now,

\(\lim_{n \to \infty} \frac{u_n}{v_n}= \lim_{n \to \infty}\frac{n^5+2}{n^6+2}*\frac{n}{1}\\=1\\Now,\\\\\sum v_n=\sum \frac{1}{n}\\\\=\sum (n)^{-1}(1)^n\\\\\)

comparing with \(\sum n^kr^n\) we get,

k=-1 and r=1

So, the series converges.

d)

Given series,

\(\sum \limits^\infty_{n=1} (\frac{2n^2+7n+7^{-3n}}{8^{n+2}+6n+7\sqrt{n}})^3\)

The dominant terms are \(2n^2\) and \(8^{n+2}\), the sum can be approximated as,

\(\sum \limits^ \infty_{n=1} (\frac{2n^2}{8^{2+n}})^3\\\\=\frac{2^3}{8^6}\sum \limits^ \infty_{n=1} n^6(\frac{1}{512})^n\)

comparing with \(\sum n^kr^n\) we get,k=6 and \(r=\frac{1}{512}\)

here also 0 < r <1,

Thus, the series converges.

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Answer:

its 8/3 and 2

Step-by-step explanation:

its that answer because on the chart its f(x and g(x and there both on there

Answer:

It should be C

Step-by-step explanation:

I hope this helps!

The coefficient of determination measures goodness of fit.

The coefficient of determination, often referred to as R-squared, measures the goodness of fit in a regression analysis. It does not measure the independence of variables, economic plausibility, or independence of residuals.

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Answer:

Red

Step-by-step explanation:

it is 10

Answer: I do not understand

Step-by-step explanation:

Answer:

Umm mentally?

Step-by-step explanation:

Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

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Answer:

The answer for this question is 3+4 =7

Step-by-step explanation:

=3+4

=7 answer

Applying the ratio test to the given series results in the inequality lim nnÏ 2/17n<1, which implies that the series converges. Therefore, the correct answer is (A).

The ratio test is a method used to determine the convergence or divergence of an infinite series. The test involves taking the limit of the ratio of consecutive terms in the series as n approaches infinity. If this limit is less than 1, then the series converges, and if it is greater than 1, then the series diverges.

In this case, applying the ratio test to the given series involves taking the limit of the ratio of the (n+1)th term and nth term as n approaches infinity. Simplifying this ratio using the given expression for the nth term, we get [(n+1)/n] Ï 2/17. Taking the limit of this expression as n approaches infinity gives us 2/17, which is less than 1. Therefore, the series converges.

The other options presented in the question involve taking the limit of different expressions, which do not correspond to the ratio test for infinite series. Therefore, they do not provide a valid method for determining the convergence or divergence of the given series.

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Answer:

120 miles

Step-by-step explanation:

200/5 = 40 miles per hour

3 hours = 40*3 = 120 miles

PLS GIVE BRAINLIEST

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

y+x=21 2/3

Step-by-step explanation:

AHHHHH I love these types of problems!

So we know that 95+85+2y-5+3x+55=360. Congrats! we now have an equation!

Let's do the easy part first. What's 95+85?

You guessed it! That's 180.

So we know that 2y-5+3x+55=180. Let's simplify this to make it easier!

2y+3x+50=180

Then we solve

2y+3x+50=180

           -50 -50

2y+3x=130

/2         /2

y+3x=65.

 /3      /3

y+x=21 2/3

There you have it! 21 2/3.

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

25$ each

Step-by-step explanation:

Answer:$23.98

Step-by-step explanation:

No solutions exist to this system of equations

A system of equations is said to be inconsistent if the two equations do not agree, meaning that there is no set of values that can simultaneously satisfy each equation. For example, the most basic inconsistent system of equations could be x = 4 a nd x = 5 at same time which is not possible.

A single equation in three unknowns can be interpreted geometrically in 3-dimensional space. If we look at a system of such linear equations, the solution set is the set of all points lying in all of the corresponding planes.

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes and one intersecting plane, or three planes that intersect the other two but not at the same location.

Hence, No solutions exist to this system of equations

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Answer:

a

Step-by-step explanation:

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Answer:

(x^2-9)

Step-by-step explanation:

To have roots plusminus 3, the factors need to be (x+3) and (x-3)

You can FOIL those and multiply those out to get x^2-9.

Or you can remember the rule of Difference of Squares and know that the first term minus squared the second term squared is equal to first term + second term and first term minus second term.

Basically, (a^2-b^2) = (a+b)(a-b)

This does not work if it is (a^2+b^2)

Answer:

g

Step-by-step explanation:

gg

The value of the function g(7) will be 770.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function is g(x) = 175 + 85x. The value of the function at x =7 will be calculated as,

g(x) = 175 + 85x

g(7) = 175 + ( 85 x 7 )

g(7) = 175 + 595

g(7) = 770

Hence, the value of the function will be 770.

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When producing a scale model of an object by extending each dimension by a constant, the shape of the object must be similar and maintain proportional relationships between its dimensions.

In order to understand why the shape of the object must be similar, we can consider the concept of similarity in geometry. Similarity refers to objects that have the same shape but possibly different sizes. When we extend each dimension of an object by a constant to create a scale model, we are essentially creating a smaller or larger version of the original object while preserving its shape.

The reason the shape must be similar is that geometric properties such as angles and ratios of lengths remain unchanged under scaling. If the shape of the object were not similar, the angles and proportions would change, and the resulting model would not accurately represent the original object. By maintaining the shape and proportional relationships, the scale model provides an accurate representation of the object, albeit at a different size.

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If Caleb dinner was for $21 then the total bill including tip will be $27.51   .

Caleb went out for the dinner ;

the amount for the dinner = $21 ;

the percent of tip that Caleb want to leave = 31% ;

that means ; tip amount = 31% of dinner amount ;

So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;

the tip amount = $6.51 ;

the total bill = bill for dinner + tip amount = $21 + $6.51 ;

= $27.51 .

Therefore , the total bill amount is 27 dollars and 51 cents   .

The given question is incomplete , the complete question is

Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?

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It is given that P = principal, R = rate of interest and T = time

Formula to find compound interest is:

A = P(1 + R/100)^T

where A = amount received after n years

P = principal amount invested

R = rate of interest

T = time for which the amount is invested

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

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Answer:

3a² + 6ax + 5a

Explanation:

Given the following function

g(x) = 3x² - 5x

Determine g(x+a)

g(x+a) = 3(x+a)² - 5(x+a)

Expand the result

g(x+a) = 3(x² + 2ax + a²) - (5x - 5a)

g(x+a) = 3x² + 6ax + 3a² - 5x + 5a

Determine g(x + a) - g(x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - (3x² - 5x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - 3x² + 5x

Collect the like terms

g(x + a) - g(x) = 3x² - 3x² - 5x + 5x + 6ax + 3a² + + 5a

g(x + a) - g(x) = 6ax + 3a² + 5a

g(x + a) - g(x) = 3a² + 6ax + 5a

Hence the required result for the function g(x + a) - g(x) is 3a² + 6ax + 5a

Answer:

When dropped from 450 feet, the crate and medical supplies will not survive the impact

Step-by-step explanation:

The impact that the crate can withstand when dropped = 165 ft,/sec

The function for the height of the crate at 450 ft. = 450 - 16·t²

The time the crate will land after drop = 5.3 sec

Therefore, we have;

Velocity, V(t) = d(h)/dt

∴ v(t) = d(450 - 16·t²)/dt = -32·t

Given that the time the cate lands after drop, t = 5.3 seconds, we have;

The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6

The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)

Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.

Answer:

proper fraction

Step-by-step explanation:

Mixed number   has a whole number and a fraction  a  b/c

Improper fraction  has a numerator that is greater than the denominator a/b  where a is greater than b  a>b

Proper fraction  has a numerator that is less than the denominator a/b  where a is less than b  a<b

Answer:

Proper fraction

Step-by-step explanation:

Numerator is less than the denominator, making it a proper fraction.

Answer:

$720

Step-by-step explanation:

I = Prt

I = (9000)(0.04)(2)

I = 720