Given h(x) = x24, find h(-8)

The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.

A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).

For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.

24 ÷ 12 = 2

36 ÷ 12 = 3

Therefore, the simplified fraction of 24/36 is 2/3.

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Answer:

3n + 6

Step-by-step explanation:

7.

three times a number: 3n

six more than three times a number: 3n + 6

Answer:

So what you're being asked to do for #4 is graph the line. The y-intercept would be -2, and then a line with a slope of 1/3(rise over run) will go through that y-intercept. For the second one, you need to convert it to y = mx + b form and then do the same thing.

Answer: To find the smallest non-zero whole number h for which 528h is a multiple of 540, we need to find the smallest positive whole number h such that 528h is divisible by 540.

First, we can simplify the prime factorization of 540:

540 = 22 x 3³ x 5

To make 528h a multiple of 540, we need to ensure that the prime factors of 528h are the same as the prime factors of 540.

528 = 24 x 3 x 11

So, 528h = (24 x 3 x 11)h = 24h x 3h x 11h

We can see that 24h and 11h are not factors of 540.

So, the only way to make 528h a multiple of 540 is to make 3h a factor of 3³.

3h = 3³ = 27

So, h = 27/3 = 9

So, the smallest non-zero whole number h for which 528h is a multiple of 540 is 9.

For (ii)

The smallest whole number k for which a factor of 540

540 = 22 x 3³ x 5

The smallest whole number k that is a factor of 540 is 5.

Step-by-step explanation:

Answer:

the answer is WU is congruent to UV

Answer:

А) 11

Step-by-step explanation:

65 = 6x - 1

6x = 65 + 1

6x = 66

x = 11

Answer:

2 and a half miles.....

Step-by-step explanation: I think......

a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

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Answer:

x-4

Step-by-step explanation:

6(x+1)-5(x+2)

=6x+6-5x-10

=x-4

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x - 9}}}}}\)

Step-by-step explanation:

\( \star \: \sf{6( x + 1) - 5(x + 2)}\)

Distribute 6 through the parentheses

Similarly, distribute -5 through the parentheses

\( \dashrightarrow{ \sf{6x + 6 - 5x - 10}}\)

Collect like terms

Like terms are those which have the same base

\( \dashrightarrow{ \sf{6x - 5x + 6 - 10}}\)

\( \dashrightarrow{ \sf{x + 6 - 10}}\)

The negative and positive integers are always subtracted but posses the sign of the bigger integer

\( \dashrightarrow{ \boxed{ \sf{x - 4}}}\)

Hope I helped!

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The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14

The height of the tree after x years can be represented as a linear equation thus :

Number of years when the tree will be 20 feets tall :

The tree would be atleast 20 feets tall in 14 years x this can be expressed thus

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Let r be a primitive root of the odd prime p.

Then, r has order (p - 1) modulo p.

This indicates that $r^{p-1} \equiv 1\pmod{p}$.

Therefore, $r^{(p-1)/2} \equiv -1\pmod{p}$.

Also, we can write that $(p-1)/2$ is an odd integer.

As p is 3 (mod 4), we can say that $(p-1)/2$ is an odd integer.

For example, when p = 7, (p-1)/2 = 3.

Let's consider $(-r)^{(p-1)/2} \equiv (-1)^{(p-1)/2} \cdot r^{(p-1)/2} \pmod{p}$;

as we know, $(p-1)/2$ is odd, we can say that $(-1)^{(p-1)/2} = -1$.

Therefore, $(-r)^{(p-1)/2} \equiv -1 \cdot r^{(p-1)/2} \equiv -1 \cdot (-1) = 1 \pmod{p}$.

This shows that the order of $(-r)^{(p-1)/2}$ modulo p is (p-1)/2.

As $(-r)^{(p-1)/2}$ has order (p-1)/2 modulo p, then -r has order (p-1)/2 modulo p.

This completes the proof.

The word "modulus" has not been used in the solution as it is a technical term in number theory and it was not necessary for this proof.

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Answer:

\(\huge\boxed{\sf y = 1/3}\)

Step-by-step explanation:

-4 + 3y = -3

Add 4 to both sides

3y = -3 + 4

3y = 1

Divide 3 to both sides

\(\rule[225]{225}{2}\)

Answer:

lenght of the garden: 99 m

Step-by-step explanation:

\(p=2w+2l\)

\(310=2(56)+2l\)

\(310=112+2l\)

\(310-112=2l\)

\(198=2l\)

\(198/2=l=99\)

Hope this helps

An equation which suggests how the range of skeins of yarn remaining, y, relies upon at the range of hats Anna knits, x is y =6- 1.2x.

An expression is a mathematical equation that is used to reveal the connection present among or extra variables and numerical quantities.

Let y constitute the range of skeins of yarn remaining. Let x constitute the range of hats Anna knits.

Mathematically, an equation which fashions the connection among x and y is given by: Mathematically, an equation which fashions the connection among x and y is given by

Remaining yarn = Total quantity of yarns -

Number of yarns used in keeping with hats

Substituting the given parameters into the formula, we have;

y = 6 - 1.2x

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Answer:

the first order linear differential equations among the given options are:

B. \(sin(x)dy/dx - 3y = 0\)

F. \(xdy/dx - 4y = x^6*e^x\)

Step-by-step explanation:

A first order linear differential equation has the form:

\(dy/dx + p(x)y = q(x)\)

where p(x) and q(x) are functions of x.

Using this form, we can identify the first order linear differential equations among the given options:

A.\(dP/dt + 2tP = P + 4t - 2\)(Not first order linear)

B.\(sin(x)dy/dx - 3y = 0\) (First order linear)

C. \(dy/dx = y^2 - 3y\) (Not first order linear)

D. \(d^2y/dx^2 + sin(x)dy/dx = cos(x)\) (Not first order linear)

E.\((dy/dx)^2 + cos(x)y = 5\) (Not first order linear)

F.\(xdy/dx - 4y = x^6e^x\) (First order linear)

Therefore, the first order linear differential equations among the given options are:

B. \(sin(x)dy/dx - 3y = 0\)

F\(xdy/dx - 4y = x^6*e^x\)

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Answer:

I think the answer is 45 but that may be wrong

Answer:

y = -1 and u = 3.333

Step-by-step explanation:

The given equations are :

3u + y = 9 ...(1)

3u-5y = 15 ...(2)

Subtract equation (2) from (1).

3u + y-( 3u-5y)= 9 -15

y+5y = -6

6y = -6

y = -1

Put the value of y in equation (1).

3u + (-1) = 9

3u-1 = 9

3u = 10

u = 10/3

u = 3.333

The attached figure shows the graph for the above equations.

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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Answer:

c = 21 + k

Step-by-step explanation:

Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.

Let the constant = k

The relationship is written as:

c = p×h + k

P = cost of parking

h = Number of hours parked

c = $7 × 3 + k

c = 21 + k

Answer:

c=7/3p

Step-by-step explanation:

i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that

Answer:

-1

Step-by-step explanation:

2 - 3 = -1

Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

Answer:

r=-2

Step-by-step explanation:

because i had this questiion and i got it right

Answer:

X-4=4

or, X=4+4

.°. X=8 ans

Hope this helps you!

Answer:

Each person gets 7/9 of a bag

Step-by-step explanation:

7 bags between (divided by) nine people.

Answer:

C) 60 ft

Step-by-step explanation:

From any dot in the graph you can figure out the speed.

Let's take the one at 2 minutes, because it is on a grid point.

That one tells us that in 2 minutes, the animal travels 40 feet.

That means in 1 minute, it travels half that, i.e., 20 feet.

So in 3 minutes it will travel 20*3=60 feet.

Based on the information represented by the boxplot ;

1.) The Lowest amount of sale made by Latasha in one month

2.) 50% of sales made by Kayla :

3.) Spread of the middle 50% of sales :

For Latasha :

For Kayla :

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