The function g(x) = |5x| -4 is a horizontal ______ of the function f(x) = |x|-4.

Answer:thxx

Step-by-step explanation:

The diameter of the cone is 40 in. Option D

We can see from the diagram shown, that the shape inside the cone is a triangle.

Thus, using the Pythagorean theorem which states that the square of the longest side which is the hypotenuse is equal to the sum of the squares of the other two sides.

We then have that;

36² = 30² + r²

find the squares

1296 = 900+ r²

collect like terms

r² = 396

Find the square root of the sides

r = 19. 89 in

Then,

Diameter = 2(radius)

Substitute

Diameter = 39. 79in

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The rate of consumption of fuel of Matt's car is 37 miles per gallon (mpg).

Matt's car can travel a total distance of 555 miles.
The fuel required to travel the total distance is 15 gallons by Matt's car.
Hence the rate of consumption of fuel of Matt's car can be measured in mpg (miles per gallons) as = Total distance travelled / Total gallons required to travel that distance
(that is, total distance travelled divided by the total amount of gallons to travel the same)
Thus the mpg of Matt's car is = 555 miles / 15 gallons
= 37 miles per gallon
(that is 37 mpg)

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Answer: here ya go

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Answer:

A.) Two sides and the included angle of a triangle are congruent to the CP of another triangle

Step-by-step explanation:

So, SAS. The Side-Angle-Side congruence postulate.

To have SAS congruence, 2 adjacent sides of a triangle need to be congruent to another triangle's adjacent sides, AND the angles between (re: included angles) them need to be congruent as well.

The answer most similar to that would be A!

By the way, is that Savvas? We use that in our class too!

Anyhow, have a nice day fam. Spread The Love

Lines 31-34 ("Segregation in.... schools") serve primarily to: express ambitious hopes for the future (Option A).

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

Hence, the correct option is A, i.e., Lines 31-34 ("Segregation in.... schools") serve primarily to: express ambitious hopes for the future (Option A).

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Answer: 2√3

The square root of 12 is equal to 2√3. Since 2√3 cannot be further simplified, that is our answer

The domain restrictions on the rational function \(\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}\) are (b) x = 3 or and (d) x = -4

The function as expressed in the correct format is:

\(\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}\)

Factorize the denominators of the fractions

\(\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}\)

Factor out x and -3

\(\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}\)

Factor out x + 4

\(\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}\)

Set the denominators to 0

4(x - 3) = 0

(x - 3)(x + 4) = 0

Solve for x:

4(x - 3) = 0 ⇒ x = 3

(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4

This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4

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See attachment for math work and answer.

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

B

Step-by-step explanation:

Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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The cosine function with amplitude 2 and period 6π is given by:

y = 2cos(x/3).

The standard cosine function is given by:

y = Acos(Bx).

In which:

For a cosine function with amplitude 2 and period 6π, we have that A = 2 and B = 1/3, hence:

y = 2cos(x/3).

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Answer:

is it 1232

Step-by-step explanation:

uhh good luck

OK! SO, I'm not accurately sure, But I typed your problems into any online (Problem Solver) and got (3,2) for the first one and (4,4) for the second equation.

I'm sorry if this answer isn't right.

Step-by-step explanation:

Just type them into any online problem solver.

Answer:

$54·ω·

Step-by-step explanation:

72-67=5+49=54

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is \(w\), then the length is \(w+3\).

\(w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4\)

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!!  :)

The probability of choosing the red card will be 0.03%

In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is

P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(13/39)⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,

P(B)=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%

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2.5(cos 5π/6  + i sin 5π/6) is the polar form  of the complex number

Complex numbers are numbers that are expressed in the form of a+ib, where a and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1)

Given: the complex number (5√3)/4 - 5/4 i

In polar form:

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

θ  = tan⁻¹( (-5/4) / (5√3 /4) )

θ = -30°

θ = -30+180 = 150°

θ = 5π/6

r = √( (5√3)/4)² +(- 5/4)²) = 2.5

Thus,

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

r(cosθ + isinθ) = 2.5(cos 5π/6  + i sin 5π/6 )

Therefore, the polar form  of the complex number is 2.5(cos 5π/6  + i sin 5π/6)

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The rate of interest at which Dylan invested is 3.09%.

The practice of adding interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the collateral for the loan rather than paid out, or when the borrower is forced to pay it, resulting in interest being created on the principal amount plus any accumulated interest the following period. Compound interest is a prominent concept in finance and economics.

Compound interest allows interest to accumulate over time, in contrast to simple interest, which does not compound because past interest is not returned to the principle for the present period.

principal =360

time =5 years

n=5×4=20 (compounded quarterly)

Amount = 420

Now: 420 = 360(1+r)²⁰

solving for r we get:

r= 0.007737

required rate percent = 0.007737×4 = 0.00193 × 100 = 3.09%

hence the simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year is 3.09%.

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According to the population growth law, the size of a population grows exponentially over time, with a growth rate proportional to population size. If the population doubling time is t, then the population size P can be written as:

\(P = P_0 * 2^{t/t_d)}\)

where P_0 is the initial population size, t is the time elapsed, and t_d is the doubling time.

To find the time it will take for the population to increase to 3 times its original population size, we can set \(P = 3P_0\) and solve for t:

\(3P_0 = P_0 * 2^{t/t_d}\)

Dividing both sides by \(P_0\) gives:

\(3 = 2^{t/t_d}\)

Taking the logarithm of both sides (using any base) gives:

\(log(3) = log(2^{t/t_d} )\)

Using the logarithmic identity

\(log(a^b) = b*log(a),\)

we can rewrite this as:

\(log(3) = (t/t_d)*log(2)\)

Solving for t, we get:

\(t = t_d * (log(3)/log(2))\)

Substituting \(t_d\) = 6 hours (given in the problem), we get:

\(t = 6 * (log(3)/log(2)) hours\)

Simplifying using the change of base formula

\((log(a)/log(b) = log_b(a))\), we get:

\(t = 6 * log_2(3)\) hours

Therefore, the answer is (f) None of the above.

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Correct question should be

Click on image for question

Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>

The probabilities of picking an A, a B or a C is given as follows:

167/210.

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.

For each event, the probabilities in this problem are given as follows:

To find the or probability, we add the probabilities of the desired outcomes, hence:

P(A) + P(B) + P(C) = 1/5 + 3/7 + 1/6 = (42 + 90 + 35)/210 = 167/210.

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Answer:

the integers are 8 and 9

Step-by-step explanation:

consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.

Answer:

y=2/3x-2

Step-by-step explanation:

Answer:

6. 33% increase

Step-by-step explanation:

Equation of increase/decrease: (Final value-initial value)÷(Initial Value)

6. (66-44)÷(66)=0.33

-Multiply by 100 to get 33% increase

7. (6.5-6)÷(6)=0.083

-Round and multiply by 100 to get 8.0% increase

8. (56-36)÷(56)=0.357

Round and multiply by 100 to get 36% decrease

9. (72-18)÷72=0.75

Multiply by 100 to get 75% decrease

Answer:

from 44 to 66 7 from 6 to 6.5

1415.9090909091%

667 - 44

44

x 100% = 1415.9090909091%

8.3333333333%

6.5 - 6

6

x 100% = 8.3333333333%

i dont know the other one sorry :(