Solve the equation 3n + 3 = 39 for n.

n =

Answer:

Step-by-step explanation :

\( \sqrt{ \frac{243}{3} } \)

\( = \sqrt{81} \)

\( = \sqrt{9 \times 9} \)

= 9(Ans)

hope it helps you have a good day

sorry for bad picture

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.

We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Here we have 4 selections.

Now let's find the number of options for each of these:

First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9×10×10×10 = 9,000

So, we can conclude that the correct option is D.

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Answer:

d

Step-by-step explanation:

trust

The value of the discriminant for the following given polynomial 2x²+5√3x+6=0 is 27.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

It is actually a polynomial function of the original polynomial's coefficients.

So, we have the following polynomial:

2x²+5√3x+6=0

In contrast to ax² + bx + c = 0, we obtain:

a = 2 , b = 5√3 , c = 6

Let discriminating start with "D."

Discriminate = b² - 4c

Now, insert values as follows:
D = (5√3)² - 4 × 2 × 6

D = 25 × 3 - 8 × 6

D = 75 - 48

D = 27

Therefore, the value of the discriminant for the following given polynomial 2x²+5√3x+6=0 is 27.

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Using cylindrical coordiantes system ,

the value of triple integral is 68.66π cubic units .

Cylindrical Coordinates System

Let x = rcos(θ) and y = rsin(θ). The upper bound of the solid is z = 16 - 4(x²+y²) = 16 - 4r² and the lower bound of the solid is z = 0. That is, z varies 0<z<16-4r².

and 0=16-4(x² + y²) yields x² + y²=4 which shows that the projection of the solid into the xy- plane is the circular region with radius 2, i.e., 0< r < 2 and 0< θ< 2π.

so, volume will be dV = r dr dθ dz

Therefore, the triple integral can be looks like that

I = ₀∫²ᵖᶦ ₀∫² ₀∫¹⁶⁻⁴⁽ˣ²⁺ʸ²⁾ 2 r²dz dr dθ => I = ₀∫²ᵖⁱ ₀∫²[ 2r²(16-4r² ) - 2r²×0 ]dr dθ

=> I = ₀∫²ᵖᶦ₀∫²(32r² - 8r⁴)dr dθ

=> I= ₀∫²ᵖᶦ( 32/3 r³ ⁻ 8/5 r⁵) limits varies from 0 to 2 dθ

=> I = ₀ ∫²ᵖᶦ ( 256/3 - 256/5 )dθ

=> I = ₀∫²ᵖᶦ 512/15 dθ

=> I = 512/15×2π = 68.66π

Hence, the value of triple integral is 68.66π cubic units .

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Complete question :

Use cylindrical coordinates to evaluate the triple integral

∭E√x2+y2 dV,

where E is the solid bounded by the circular paraboloid z=16−4(x2+y2) and the xy-plane.

Answer:

1.  7\(\frac{1}{2}\) = \(\sqrt{7}\)

2. 4\(\frac{7}{2}\) = \(\sqrt{4} x^{7}\)

3. 7\(\frac{1}{4}\) = \(\sqrt[4]{7}\)

4. 4\(\frac{1}{7}\) = \(\sqrt[7]{4}\)

Step-by-step explanation:

Good evening,

Answer:

z=32°

Step-by-step explanation:

54°+94°+z=180° (sum of angle of triangle)

z=180-148

z=32°

Answer:

One way is to:

First, multiply 2 by the term inside the parenthesis.

Second, add eleven on both sides.

Third, divide using 4x on both sides.

This will give you your first method.

Now try to get the second on your own.

Step-by-step explanation:

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

The given equation is\(y = sin - 4(x).\) To find the derivative, we need to use the chain rule. Let's break down the steps:

Rewrite the equation using the definition of inverse: \(sin - 4(x) = (sin(4x))⁻¹\)

Apply the chain rule: \(d/dx [(sin(4x))⁻¹] = -4(cos(4x))/(sin(4x))²\)

Simplify the expression\(: y' = -4cos(4x)/(sin(4x))²\)

So, the derivative of \(y = sin - 4(x) is y' = -4cos(4x)/(sin(4x))².\)

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Answer:

y = \(\frac{x^{2} + 27}{8}\)

Step-by-step explanation:

To find the inverse, we will set it equal to y, switch the x and y values, then solve for y.

[Given] h(x)=3 square root x -3

[Rewrite] y = 3 \(\sqrt{x-3}\)

[Switch values] x = 3 \(\sqrt{y-3}\)

[Square both sides] x² = 9(y - 3)

[Distrubte] x² = 8y - 27

[Add 27 to both sides & flip equation] 8y =  x² + 27

[Divide both sides of 8] y = \(\frac{x^{2} + 27}{8}\)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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Answer:

21.8

Step-by-step explanation:

5m is adjacent and 3m is opposite so you use the formula

tan theta=opposite/adjacent

To find the proability we need to remember the product rule of proabbility that states that:

in this case event A is "getting head" and event B is "getting tail"; we know that each of this events have a proability of 1/2, then:

Therefore the probability we are looking for is 1/4.

The value of k for the function f(x+3) = f((x-3) + 3) is 2 by simplifying the function and substituting the values.

Let's substitute x-3 for x in the given function: f(x+3) = f((x-3) + 3) = f(x).

Then, we can rewrite the given function as f(x) = (x-3)² + k(x-3) - 21.

To find the value of k, we can set x=0 and solve for k: f(0) = (0-3)^2 + k(0-3) - 21 = -12 + 3k - 21 = 3k - 33.

We know that f(0) = f(3-3) = f(-3), so we can also calculate f(-3) using the given function:

f(-3+3) = f(0) = 0² + k(0) - 21 = -21.

Setting f(-3) = -21, we get:

-21 = (-3)² + k(-3) - 21, which simplifies to k = 2.

Therefore, the value of k is 2.

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Answer:

Choice a :  x= 102 degrees because 180°- (63°+39° ) = 78° and 180° - 78° = 102°

Step-by-step explanation:

Two angles are given as  63° and 39°

To find the third angle we subtract the other two angles from 180°

180°- 63°-39° gives 78°as the third inner angle .

The third angle and the outer angle x lie on the straight line making a total of 180°.

To find x we again subtract the inner angle 78° from 180°.

This gives the value of x to be 102°

180°- 78°=102°

Choice a is the best option.

Answer:

Step-by-step explanation:

Answer:

the jacket price was reduced by 40%.

Step-by-step explanation:

if $50 is 100% then every one dollar is 2%.

Percentage of the reduction of price of the jacket is 40%.

Percentage is defined as the parts of a number per fraction of 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Original price of the jacket = $50

Let x be the percentage of reduction of the price of the jacket.

50 - (x × 50) = 30

50x = 50 - 30

50x = 20

x = 20 / 50

x = 0.4

Percentage = 0.4 × 100 = 40%

Hence the percentage reduction is 40%.

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Answer:

1

Step-by-step explanation:

its in the picture

i need brainliest for level up please

Answer:

y = - 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = - 2 + c ⇒ c = 7 + 2 = 9

y = - 2x + 9 ← equation of line

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

Answer: plz mark as brainliest

Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:

1470 / Divisor = Quotient

To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:

1470 / 1 = 1470

1470 / 2 = 735

1470 / 3 = 490

1470 / 4 = 367.5

etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.

The Divisors of 1470 are as follows:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.

The value of the Ford truck decreased by a factor of 0.1169 over the 8 years. The percentage decrease in the value of the truck is 88.3%.

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

For #3, the initial value of the Ford truck was $52,000, and it depreciated 18% each year for 8 years.

To find the factor by which the value decreased, we can use the formula:

factor of decrease = (1 - rate of decrease)^number of years

Plugging in the values, we get:

factor of decrease = (1 - 0.18)^8 = 0.1169

Therefore, the value of the truck decreased by a factor of 0.1169 over the 8 years.

To find the percentage decrease, we can use the formula:

percentage decrease = (initial value - final value) / initial value * 100%

The final value can be calculated as the initial value multiplied by the factor of decrease:

final value = initial value * factor of decrease = $52,000 * 0.1169 = $6,082.80

Plugging in the values, we get:

percentage decrease = ($52,000 - $6,082.80) / $52,000 * 100% = 88.3%

the value of the Ford truck decreased by 88.3% over the 8 years.

Therefore, The value of the Ford truck decreased by a factor of 0.1169 over the 8 years. The percentage decrease in the value of the truck is 88.3%.

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Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

The test statistic (42.19) falls between the lower and upper critical values (13.839 and 42.982) and the p-value (0.057) is greater than the significance level (0.05), we do not reject the null hypothesis.

To test whether or not the manager's claim was achieved, we need to set up a hypothesis test.

Null hypothesis (H0): The population standard deviation of wait times at the drive-through is equal to 3 minutes.
Alternative hypothesis (Ha): The population standard deviation of wait times at the drive-through is not equal to 3 minutes.

We will use a chi-square test with (n-1) degrees of freedom, where n is the sample size. At a 5% level of significance, the critical values are 12.242 (lower) and 41.337 (upper).

To calculate the test statistic, we use the formula:
χ^2 = (n-1) * s^2 / σ^2

where n is the sample size, s is the sample standard deviation, and σ is the hypothesized population standard deviation.

Plugging in the values, we get:
χ^2 = (28-1) * 3.75^2 / 3^2 = 30.1875

The corresponding p-value for this test statistic is 0.168, which is greater than 0.05. Therefore, we fail to reject the null hypothesis.

Our conclusion is: Do not reject the null hypothesis. There is insufficient evidence to support the Manager's claim.
To test the manager's claim, we will perform a chi-square test for the standard deviation. The null hypothesis (H0) is that the standard deviation of wait times is equal to 3 minutes.

First, we calculate the test statistic (rounded to 2 decimal places):

Chi-square = (n - 1) * (s^2) / σ^2
Chi-square = (28 - 1) * (3.75^2) / (3^2)
Chi-square = 27 * (14.0625) / 9
Chi-square = 42.19

Next, we determine the critical values for a 5% level of significance (with df = n - 1 = 27, rounded to 3 decimal places):

Lower critical value: 13.839
Upper critical value: 42.982

Now, we find the p-value (rounded to 3 decimal places):

p-value = P(Chi-square > 42.19) = 0.057

Since the test statistic (42.19) falls between the lower and upper critical values (13.839 and 42.982) and the p-value (0.057) is greater than the significance level (0.05), we do not reject the null hypothesis. There is insufficient evidence to support the manager's claim.

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The two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

Given the equation; 6x² - 35 = -11x

The quadratic formula is expressed as;

x = [ -b±√( b² - 4(ac)  ]/2a

First, we re-arrange our equation in the form of ax² + bx + c = 0

6x² + 11x - 35 = 0

We substitute into the formula.

x = [ -b±√( b² - 4(ac)  ]/2a

x = [ -11±√( 11² - 4( 6 × -35 )  ]/2×6

x = [ -11±√( 121 + 840 ]/12

x = [ -11±√961 ]/12

x = [ -11 ± 31 ]/12

x = (-11 + 31)/12,  (-11 + 31 )/12

x = 20/12,  -42/12

x = 5/3, -7/2

Therefore, the two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

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Answer:

13+37=50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

y = 2x - 6

Step-by-step explanation:

Cuzz i'm different ;)

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

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The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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Answer:

HE IS PORE THAT IS WHAT HE IS

Step-by-step explanation:

HE IS PORE THAT IS WHAT HE IS