at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?

Answer:

The GCF is 27.

Step-by-step explanation:

hope this helps

The factors of 27 are: 1, 3, 9, 27

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 27.

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

8

Step-by-step explanation:

48-{(18+12)÷6}×2

=48-{30÷6}×2

=48-5×2

=48-10

=8 ans

The value of this expression 48−{(18+12)÷6}×2 is 8.

When an expression is written as result of multiplication of some terms, then that multiplication form is called the factored form of that expression.

Example:   6 = 3 x 2 is a factored way of writing 6.

Given expression;

48-{(18+12)÷6}×2

=48-{30÷6}×2

=48-5×2

=48-10

=8

Hence, the value of this expression 48−{(18+12)÷6}×2 is 8.

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Step-by-step explanation:

Similar triangle ratio:

15  is to 10    as  AB is to 6

15/10 = AB / 6

6 * 15/10 =   AB  =  9   units

Suppose a sector of a circle with radius \(r\) has a central angle of \(\theta\). Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of a central angle to the measure of a full rotation of the circle. A full rotation of a circle is \(2\pi\) radians. This proportion can be written as \(\boxed{\frac{A}{\pi r^{2}}=\frac{\theta}{2\pi}}\). Multiply both sides by \(\pi r^2\) and simplify to get \(\boxed{A=\frac{\theta}{2} r^{2}}\), where \(\theta\) is the central angle of the sector and r is the radius of the circle.

Answer: 13.48

Step-By-Step:

Hello there! I will be showing the steps. Let me know if you have any questions or concerns in the comments.

Step 1: For the denominator, recognize that 25 × 4 = 100.

Multiple = 4

Step 2: Multiply both the numerator and denominator by the multiple 4.

\(\frac{337 *4 }{25 * 4}\)  

Step 3: Simplify.

\(\frac{1348}{100}\)

Step 4: Simplify.

13.48

~I hope I helped you! :)~

The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.

The given statement is: "If x equals 3, then 2b + 5 equals 11."

Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.

The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.

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The simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

The expression is given as:

\(\frac{x^{3}-8x^{2}}{x^2-64}\)

Factor the numerator

\(\frac{x^{2}(x-8)}{x^2-64}\)

Express the denominator as a difference of two squares

\(\frac{x^{2}(x-8)}{(x-8)(x + 8)}\)

Cancel out the common factor

\(\frac{x^2}{x + 8}\)

Hence, the simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

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Answer:

Step-by-step explanation:

Remember that if you're dividing a number by 1/2, it would be equivilent to multiplying that number by 2.

So 48/1/2 = 48 x 2 = 96.

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

0.6608

this is the probability that the equipment will work for at least 5years

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by \(\frac{2017^2+2016^2}{2017^2+2016^2}\) which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

Answer:

46.1

Step-by-step explanation:

Mark BRAINLIEST

Answer:

Hello! The correct answer is 2.95 \(ft^{2}\)

Answer:

0.445 as a fraction in simplest form: 89/200

0.445 as a percent: 44.5%

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The correct option regarding the mean of X + Y is given as follows:

a. MX+MY.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.

This means that the correct option is given by option A.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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Answer:

i assume the question is 115-5x=10

Step-by-step explanation:

if yes then the answer will be

-5x=125

-5x/-5=125/-5

x=25

The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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Answer: 10

Step-by-step explanation:

using \(d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }\) when \(P_{1} =(x_{1} ,y_{1} )\) and \(P_{2} = (x_{2}, y_{2})\)

so \(d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }\)

\(d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }\)

\(d = \sqrt{(-8)^{2}+(-6)^{2} }\)

\(d = \sqrt{64+36}\)

\(d= \sqrt{100}\)

\(d = 10\)

please give me a brainliest answer

Answer: 1.5% and 16 times

Step-by-step explanation:

a) The equivalent interest rate = 1.5 %

b) The number of times the interest is compounded is n = 16 times

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the compound interest amount be represented as A

Now , the interest rate r = 6 %

The number of times the interest is applied = quarterly

The principal amount P = $ 300

So , the equivalent interest rate r = 6 / 4 = 1.5 %

Now , the number of times the interest is compounded is n = 4 x 4 = 16 times

Hence , the compound interest is calculated

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Answer:

3.6

Step-by-step explanation:

subtract the numbers

Answer:

The toy store has the higher price

Step-by-step explanation:

if you can get 6 games online for $33.60 that would be $5.60 per game. If you buy from the toy store it would cost $17.36 more than online

Step-by-step explanation:

ΔJLK = ΔNLM ( vertically opposite Δ)

ΔJKL = ΔNML ( each 90° )

so,

triangle JKL = triangle NML (by AA similarity)

JK / KL = NM / ML

JK / 21m = 42m / 49m

JK = 42 × 21 ÷ 49

JK = 18m

Answer:

Probability that it is a red card: 50%

Probability that it is a black card: 50%

Step-by-step explanation:

You have an even probability of getting a red card or a black card. This is true because there are an even number of red cards and black cards. (25 or 26 of each, depending on if you include jokers.) Therefore, there is an even probability of getting a red card or a black card. It has to be 50%, because that is the only number in which two options can have equal numbers.

Hope this helps! :D

Answer:

Yes, they are consistent.

A 99​% confidence interval is consistent with a​ two-sided test with significance level alpha=0.01 because if a​ two-sided test with this significance level does not reject the null​ hypothesis, then the confidence interval does contains the value in the null hypothesis.

Step-by-step explanation:

Yes, they are consistent.

A 99​% confidence interval is consistent with a​ two-sided test with significance level alpha=0.01 because if a​ two-sided test with this significance level does not reject the null​ hypothesis, then the confidence interval does contains the value in the null hypothesis.

The critical values of the confidence level are equivalent to the critical values in the hypothesis test. In the case that the conclusion of the test is to not reject the null hypothesis, the test statistic falls within the acceptance region: its value is within the critical values of the two-sided test.

Then, it is also within the critical values of the confidence interval and the sample mean (or other measure) will be within the confidence interval bounds.