Use the fact that the graph passes through (1, -18)
to find the coefficient a in
f(x) = a(x + 2)(x + 2)(x-3).

a^2 + b^2 = c^2

18^2 + 18^2 = 36^2;

324 + 324 = 1296

not equal, no

Answer:

2

Step-by-step explanation:

The prime multiples are 1 and 5.

Answer:

there is 2.

5 and 1

Step-by-step explanation:

Answer:

refer the attachment pls

The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)

This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.

The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.

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Answer:

Nina would have total expenses and sales $156 after selling 4 necklaces.

Step-by-step explanation:

Let x represent the amount of necklaces made and sold.

The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing x necklaces can be represented as:

\(\displaystyle 140 + 4x\)

Each necklace sells for $39. Hence, the total profit after selling x necklaces can be represented as:

\(\displaystyle 39x\)

To break even, the total cost and profit must be equivalent. Hence:

\(\displaystyle 140 + 4x = 39x\)

Solve for x:

\(\displaystyle \begin{aligned} 140 + 4x & = 39x \\ \\ 140 & = 35x \\ \\ x & = 4 \end{aligned}\)

Hence, the break even, Nina would need to sell four necklaces.

And the total expenses/profit would be:

\(\displaystyle \$39(4) = \$156\)

In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.

Answer:

Step-by-step explanation:

We know that:

Work:

Now, let's substitute the value of x into any equation to find the total expenses and sales.

Hence, the total expenses is $156 is the total necklaces sold is 4.

Hoped this helped.

\(BrainiacUser1357\)

Write out the given dimension with respect to the unknown angle

From the right-angled triangle given,

State the relationship between the trigonometry ratio and the sides of the right-angled triangle

From the given dimension, the appropriate trigonometry to use is cosine

Hence the unknown angle is 46.83°

Answer:

false

Step-by-step explanation:

There are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

To determine the number of ways to award first, second, and third prizes in a contest with 950 contestants, we can use the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of contestants and r is the number of prizes to be awarded (in this case, 3).

Using this formula, we get:

P(950, 3) = 950! / (950 - 3)!

= 950! / 947!

= 950 × 949 × 948

= 853,818,600

Therefore, there are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

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Answer:

1 gallon is the better deal

Step-by-step explanation:

If you divide 3.99/4 you get 0.9975. Therefore, a quart of apple juice costs 0.9975. If you divide 3.59/3, you get 1.19 which is more expensive than 0.9975. The answer is 1 gallon of apple juice for 3.99 is the better deal.

40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Answer:

B

Step-by-step explanation: I just did it on edge

Answer:

The answer is B.

Answer:

4^10 = 1,048,576

A, C, E

Step-by-step explanation:

A= 1,048,576

B= 10,000

C= 1,048,576

D= 16,384

E= 1,048,576

An expression is defined as a set of numbers, variables, and mathematical operations. The expressions are A, C, and E.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to 4¹⁰ is,

Hence, the expressions are A, C, and E.

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The area of a square is given by the following formula:

To find the sidelength of the square, solve the equation for s:

Replace the given value in the equation to find the sidelength:

The sidelength is 4/7cm.

Answer:

\(x=\frac{83}{36}\)

Step-by-step explanation:

1) Convert \(2\frac{1}{4}\) to  improper fraction. Use this rule: \(a\frac{b}{c} =\frac{ac+b}{c}\).

\(x-\frac{2\times4+1}{4} = \frac{1}{18}\)

2) Simplify \(2\times4\) to 8.

\(x-\frac{8+1}{4} =\frac{1}{18}\)

3) Simplify \(8+1\) to 9.

\(x-\frac{9}{4} =\frac{1}{18}\)

4) Add \(\frac{9}{4}\) to both sides.

\(x=\frac{1}{18} +\frac{9}{4}\)

5) Simplify \(\frac{1}{18} +\frac{9}{4}\) to \(\frac{83}{36}\).

\(x=\frac{83}{36}\)

Decimal Form: 2.305556

Answer:

83/36

Step-by-step explanation:

x - 2 1/4 = 1/18

x = 1/18 + 9/4

L.C.M= 36,

x = 1x2/18x2 + 9x9/4x9

x = 2/36 + 81/36

x = 83/36

Decimal form = 2.305556

2π/40t

Explanation:

There are 2π radians in a full rev

2πR/3 Rev/ min =   2/3π minutes per rev    

R= 2.0944 min per rev

Period is 2/3π

2π/x = 2/3π    

∴ x = 3

∴sin xt = sin 3t

He starts at 3 o'clock position which is 1/2 way between low and high points, so there is no phase shift

Amplitude = 44                

44 sin 3t    = height above center

Height above ground is shifted by 48 feet up from center        

∴ 44 sin (3t) + 48  would be height above ground   ( at time = 0 he is 48 ft above ground)

Answer:

1.88261%

Step-by-step explanation:

Use the formula (E - T) / |T| * 100

(92 - 90.3) / |90.3| * 100

1.7 / 90.3 * 100

0.0188261 * 100

And you get a 1.88261 percent error :)

Answer:

73 cents

Step-by-step explanation:

$2.20/3 = $0.73 = 73 cents

Answer:

watch the picture

Step-by-step explanation:

sum of all angles = 360°

c = 23° (opposite vertical angles so congruent)

b = (360° - 23 - 23) : 2    (opposite vertical angles so congruent)

b = 314 : 2

b = 157

----------------------

check

23 + 23 + 157 + 157 = 360°

the answer is good

Answer:

I think it is C

Step-by-step explanation:

Answer:

angles 4 7 and 6........

Answer:

Here: 2 7/18

Step-by-step explanation:

Hope this helped and brainlest please!

19/8 or 2 3/8 you choose :)

The solution is x = 8.

The solution to the equation 2ln(x) = ln(4) + ln(16) should be determined, taking into account any extraneous solutions. The steps to accomplish this are as follows:2ln(x) = ln(4) + ln(16)ln(x^2) = ln(4*16)ln(x^2) = ln(64)By taking the exponential of both sides, this expression can be resolved.x^2 = 64x = ±8Since the natural logarithm is only defined for positive numbers, only the positive value of x is taken into account. Therefore, the solution is x = 8.The process of checking for extraneous solutions involves substituting the answer obtained into the original equation and evaluating it to see whether it is accurate or not.2ln(8) = ln(4) + ln(16)The above equation can be simplified to become: ln(64) = ln(64)The answer is consistent. As a result, the solution is accurate and does not include any extraneous values. The solution is x = 8.

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Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO SANP (ADAMBELAL839)

The null and alternative hypotheses are \(H_o\) μ= 64.2 and \(H_a\): μ ≠  64.2 respectively.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

The average height of an 18-year-old American woman is 64.2 inches

Hypotheses state claims about a population parameter.

p: population proportion: population mean

σ: population standard deviation

The null hypothesis asserts that the sample size equals the claim value:

\(H_o\) :μ= 64.2

The alternate hypothesis expresses the inverse of the null hypothesis (As per the claim):

\(H_a\) : μ ≠  64.2

μ = The average height of 18-year-old American women in the population.

\(H_o\) :μ= 64.2

\(H_a\) : μ ≠  64.2

Thus, the null and alternative hypotheses are \(H_o\) μ= 64.2 and \(H_a\): μ ≠  64.2 respectively.

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Answer:

I’m not sure I am correct but I think it is either c or d.

Step-by-step explanation:

Answer:

Its C my guy

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

\( \frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22} \)

we start with 12 red marbles out of 25 marbles, that's the probability for the first.

in the second step we have one red marble less, wich also means one marble less overall

and so on

\( \frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22} \)

\( = \frac{11880}{303600} \)

can be reduced by 1320 (step by step) to

\( \frac{9}{230} \)

Answer: x=-2

Step-by-step explanation:

-3(x+5)= 3(x-1)

-3x-15=3x-3

-3x-15=3x-3

-15=6x-3

6x=-12

x=-2

Answer:

45 minutes

Step-by-step explanation:

Answer:

probably atleest a hour so it will be 4:30 and then you'll be at home at 4:45

Step-by-step explanation:

I calculated it in 60 seconds

Answer:

s

Step-by-step explanation:

s