the sum of twice a number and half the number is 10​

Answer:

Gary worked 41 and a half hours

Step-by-step explanation:

$310.42 divided by $7.48 per hour = 41.5 hours

The evaluated integral using substitution is (1/2.7)(1 + x^3)^2.7 + C.

We will use a substitution method to evaluate the integral of x^2 (1 + x^3)^1.7 dx.

Step 1: Choose a substitution. In this case, we'll let u = 1 + x^3. This substitution simplifies the integrand, as it directly involves a term inside the integral.

Step 2: Compute the differential du. Differentiating u with respect to x, we get du/dx = 3x^2. Rearranging, we have du = 3x^2 dx.

Step 3: Modify the integral using the substitution. The given integral becomes ∫(1/3)u^1.7 du, where we have divided by 3 to account for the 3x^2 dx term in our substitution.

Step 4: Evaluate the modified integral. To do this, we will use the power rule for integration:

∫u^n du = (1/(n+1))u^(n+1) + C, where n ≠ -1

In our case, n = 1.7, so the integral becomes:

(1/(1.7+1))u^(1.7+1) + C = (1/2.7)u^2.7 + C

Step 5: Replace u with the original expression in terms of x:

(1/2.7)(1 + x^3)^2.7 + C

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Answer:

i think it would be 0

Step-by-step explanation:

The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

Step-by-step explanation:

OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!

Answer:

18<1/2x=6

Step-by-step explanation:

The equation for the given description is 18 - 0.5x = 6

Since 18 less than half a number is 6

So here we assume the number be x

Now the equation is

18 - 0.5x = 6

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The eigenvalues λn are given by (iπ/L)^n, and the eigenfunctions yn(z) are yn(z) = Cn e^((iπ/L)^n z), where n is an integer and Cn is a constant. Each value of n corresponds to a unique eigenvalue, and the eigenfunctions satisfy the given boundary conditions y'(0) = 0 and y(L) = 0.

The eigenvalues (λn) and eigenfunctions (yn(z)) for the given boundary-value problem, y^n + λy = 0, y'(0) = 0, y(L) = 0, can be determined by solving the differential equation and applying the boundary conditions. The eigenvalues (λn) are obtained as the roots of a characteristic equation, and each eigenvalue corresponds to a unique value of n. The eigenfunctions (yn(z)) are given by the solutions of the differential equation for each eigenvalue, satisfying the boundary conditions. To find the eigenvalues (λn) and eigenfunctions (yn(z)), we start by solving the differential equation y^n + λy = 0. This is a linear homogeneous ordinary differential equation of nth order. The solutions to this equation are determined by the roots of the characteristic equation, which is obtained by assuming a solution of the form y(z) = e^(rz). Substituting this into the differential equation gives the characteristic equation r^n + λ = 0. Solving the characteristic equation, we find n distinct roots, denoted as r1, r2, ..., rn. Each root corresponds to a unique eigenvalue, given by λn = -r^n. Thus, we have a set of eigenvalues λ1, λ2, ..., λn. Next, we determine the eigenfunctions (yn(z)) associated with each eigenvalue. For each eigenvalue λn, the eigenfunctions are obtained by solving the differential equation y^n + λn y = 0. The general solution to this differential equation is a linear combination of functions, each of the form y(z) = Cn e^(λn z), where Cn is a constant. However, to satisfy the boundary condition y(L) = 0, we need to ensure that the eigenfunctions vanish at z = L. This requires that the constants Cn are chosen such that e^(λn L) = 0, which implies λn L = iπ, where i is the imaginary unit. Solving for λn, we obtain λn = (iπ/L)^n. Therefore, the eigenvalues are given by λn = (iπ/L)^n, and the corresponding eigenfunctions are yn(z) = Cn e^((iπ/L)^n z), where Cn is a constant determined by normalization and boundary conditions. In conclusion, the eigenvalues λn are given by (iπ/L)^n, and the eigenfunctions yn(z) are yn(z) = Cn e^((iπ/L)^n z), where n is an integer and Cn is a constant. Each value of n corresponds to a unique eigenvalue, and the eigenfunctions satisfy the given boundary conditions y'(0) = 0 and y(L) = 0.

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Answer:

\(\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}\)

Step-by-step explanation:

The rate of the inflation of the balloon with time can be denoted as:

\(\dfrac{dv}{dt} = 500 \ cm^3/m\)

To determine; how fast does the radius change with time.

i.e.

\(\dfrac{dr}{dt}=???\)

where r = 40 cm and the volume of sphere = \(\dfrac{4}{3} \pi r^2\)

∴

\(\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}\)

\(500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}\)

\(500= 13404.13 \dfrac{dr}{dt}\)

\(\dfrac{500}{13404.13} = \dfrac{dr}{dt}\)

\(\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}\)

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

Given expression,

(negative 2 m + 5 n) squared

By using (a+b)² = a² + 2ab + b²,

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus,  is a perfect square trinomial.

To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.

A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.

A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.

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Nicole would have $73,036.70 - $56,772.25 = $16,264.45 more money than Bentley after 14 years at the given interest rate.

Simple interest refers to an interest rate where the interest is just calculated on the principal sum of money. For the duration of the loan or investment, the interest rate is only applied once to the principal sum. On the other hand, compound interest is a type of interest where the interest is computed using both the principal and the interest from prior periods. After each compounding period, the interest rate is applied to the newly created balance.

The compound interest is given as:

\(A = P * e^{(rt)}\)

Substituting the given values:

\(A = 29000 * e^{(0.0541 * 14)} = $73,036.70\)

Now, after 14 years:

\(A = P * (1 + r/100)^t\)

Substituting the values:

\(A = 29000 * (1 + 0.04885)^{14} = $56,772.25\)

Hence, Nicole would have $73,036.70 - $56,772.25 = $16,264.45 more money than Bentley after 14 years

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Answer:

Hi could you specify the question, I don't see any question in here, else I'd answer it.

Step-by-step explanation:

Solution :

The null and alternative hypothesis is given by

\($H_0: \mu = 11$\)

\($H_a: \mu \ne 11$\)

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

Step-by-step explanation:

ima ask a question is that time4learning.com if so what chapter is that bc im on the same thang and if you want to we can work together on it

Answer: 192

Step-by-step explanation:

160 + (20% × 160) =

160 + 20% × 160 =

(1 + 20%) × 160 =

(100% + 20%) × 160 =

120% × 160 =

120 ÷ 100 × 160 =

120 × 160 ÷ 100 =

19,200 ÷ 100 =

Welcomeeee

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

Answer:

=5·14+5·14+5·14+1  2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54- SQUARED

≈231.65064

Step-by-step explanation:

Answer:

The best estimate of each owner share is 296

Step-by-step explanation:

Now, we know that that the profit was shared equally and we have 13 recipients of the share

The best estimate for each owner’s share is to divide the amount shared in the month by the number of the recipients

That would be 3,849/13 = 296.08

This is best estimated as 296

Step-by-step explanation:

\(\frac{rise}{run}\)

Initially, as X increases, Y stays constant.

Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.

Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.

The greatest value of y is 4 at x = 5. (5, 4)

Answer:

Initially, as x increases, y remains constant.

Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.

The slope of the graph is equal to -1 between x = 5 and x = 9.

The greatest value of y = 4, and it occurs when x = 5.

Step-by-step explanation:

Slope = \(\frac{rise}{run}\)

The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).

From 3-5 the slope = \(\frac{4}{2}\) =  2 → it goes up 2 units for every one unit right.

From 5-9 the slope = \(\frac{-4}{4}\) = -1 → it goes down (-) 1 unit for every one unit right.

Answer:

7 & 12

Step-by-step explanation:

7²=49

12²=144

144+49=193

12-7=5

Answer:

2

Step-by-step explanation:

we replace x with -3

f(-3)=2(-3)+8

f(-3)=-6+8

f(-3)=2

hopes this helps please mark brainliest

The approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

To find the number of cell sites in the years 1998, 2008, and 2015 using the given model equation:

y = 336.01/(1 + 29.39e^(-0.256))

We substitute the respective years into the equation and calculate the value of y.

For the year 1998:

Substituting t = 1998 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*1998))

For the year 2008:

Substituting t = 2008 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2008))

For the year 2015:

Substituting t = 2015 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2015))

To find the actual numerical values, we need to evaluate these expressions using a calculator or a computer program that can handle exponentiation and arithmetic calculations.

Please note that it is important to follow the correct order of operations when evaluating the exponent term, particularly the negative sign and the multiplication. The exponent term should be calculated first, and then the result should be multiplied by -0.256.

By substituting the respective years into the equation and evaluating the expression, you will obtain the approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

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Answer:

there are 40% black ball a

white ball we don't know

so, we let = x

40\100 × x

now we cutting

ans is 10x

Answer:

$ 14.50

Step-by-step explanation:

So 2/3 is $7, right?

If we multiply to find how much it would be to get to one pound, you would find that 1.5 would get you to that number.

So, that means two 2/3, and a half, meaning:

7+7+0.5=14.5

Leading to your answer: $ 14.50

Hope this helps :)

The probability that the difference between the two numbers that appear will be less than 3 is 6/36 or 1/6.

There are 36 possible outcomes when two balanced dice are rolled, and 6 of those outcomes have a difference of less than 3. Thus, the probability of the difference between the two numbers being less than 3 is 6/36 or 1/6.

The probability of the difference between two numbers appearing when two balanced dice are rolled is determined by the number of possible outcomes that have a difference less than 3. Out of the 36 possible outcomes, 6 of them have a difference of less than 3, so the probability of the difference being less than 3 is 6/36 or 1/6.

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The domain of the composition of the functions f(x) and g(x) in the interval notation is (-∞, -4) ∪ (-4, ∞)

Given that:

f(x) = \(\frac{4}{10x-20}\)

g(x) = \(\sqrt{2x+12}\)

It is first required to find the composition of the functions f(x) and g(x).

That is f(g(x)).

Now,

f(g(x)) = f(\(\sqrt{2x+12}\))

Here, substitute in the expression for f(x) where x is replaced by the expression for g(x).

So,

f(g(x)) = \(\frac{4}{10\sqrt{2x+12} -20}\)

Now, find the domain of this composite function.

That is, find the values of x where the function is defined.

The function f(g(x)) is defined only when the denominator is not equal to 0.

\({10\sqrt{2x+12} -20}\) ≠ 0

Add both sides with 20.

\({10\sqrt{2x+12}\) ≠ 20

Divide both sides by 10.

\(\sqrt{2x+12}\) ≠ 2

Square both sides.

2x + 12 ≠ 4

Subtract both sides by 12.

2x ≠ -8

Divide both sides by 2.

x ≠ -4

Hence, the domain is (-∞, -4) ∪ (-4, ∞).

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The domain of the composition of the functions f(x) and g(x) in the interval notation is (-∞, -4) ∪ (-4, ∞)

f(x) = 4/10x-20

g(x) = √2x + 12

It is first required to find the composition of the functions f(x) and g(x).

That is f(g(x)).

Now,

f(g(x)) = f(√2x + 12)

Here, substitute in the expression for f(x) where x is replaced by the expression for g(x).

So,

f(g(x)) = 4/ 10√2x + 12-20

Now, find the domain of this composite function.

That is, find the values of x where the function is defined.

The function f(g(x)) is defined only when the denominator is not equal to 0.

10√2x + 12-20≠ 0

Add both sides with 20.

10√2x + 12 ≠ 20

Divide both sides by 10.

√2x + 12 ≠ 2

Square both sides.

2x + 12 ≠ 4

Subtract both sides by 12.

2x ≠ -8

Divide both sides by 2.

x ≠ -4

Hence, the domain is (-∞, -4) ∪ (-4, ∞).

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The standard error of the estimate is like a standard deviation for all error scores in a regression.

The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population.

The measure of the sample mean of the population is expressed as the standard deviation of the measure of the standard error of the mean, also known as the standard deviation of the mean. It is referred to as SEM. For instance, the sample mean typically serves as an estimator of the population mean. However, if we take yet another sample from the same population, it can yield a different result.

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Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.