At a store, apples cost each and oranges cost each. Harry buys some apples and oranges and spends . He buys a total of pieces of fruit.

Answer:

0.777,0.707,0.77,0.7,0.077

Step-by-step explanation:

Answer:

51,51,78

Step-by-step explanation:

First of all equate the two angles since it is isoceles.

3x+9= 4x-5 , therefore x= 14

sub that in and find the rest of the angles.

angle G---> 4*14 -5 = 51

angle I--->3*14+9= 51

last angle 180 - 2*51 = 78

The number of text messages teenagers in the United States send each month is,

⇒ =3.24 × 10¹⁰

Given that:

Total teenagers = 27 million

Number of text messages per month = 1200

Total messages sent by teenagers per month = 27 million × 1200

= 32,400,000,000

Decimal point should be after the first significant value from the left.

Count the number of digits remaining after the decimal point

= 3.24 × 10¹⁰

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Answer:

The inequality for the given graph is;

Explanation:

From the given number line;

Using x as the variable;

Since the Dot is shaded and it is located on 3 and the arrow is pointing to the right direction;

Then the sign is either greater than or equal to 3.

So we have;

Therefore, The inequality for the given graph is;

Answer:

D

Step-by-step explanation:

D

The amount of points are irrelevant.

Answer:

X = 1

Step-by-step explanation:

You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1

Hope this helped

-A3miz

Age:13

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:

Yes, it is linear. y=-1/2x+3/4

Step-by-step explanation:

To put it in standard form, you need to get the y by itself.

4y=-2x+3

Divide by 4.

y=-1/2x+3/4

The factors of the polynomial are \(\rm 4(3x^2 + 1)(x-5)\).

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial;\(\rm 12x^3 - 60x^2 + 4x -20\)

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\(\rm 12x^3 - 60x^2 + 4x -20\\\\ 12x^3(x-5)+4(x-5)\\\\(12x^3+4)(x-5)\\\\ 4(3x^2 + 1)(x-5)\)

Hence, the factors of the polynomial are \(\rm 4(3x^2 + 1)(x-5)\).

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We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

Answer:

\(y = \frac{x}{3} \)

Step-by-step explanation:

divide both sides by 3 to get the answer

Answer:

the answer is \(m=\frac{8}{17}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer:

6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5          -5

6= x  or x = 6

Hope this helps!!

To plot the SMC curve, we can take the derivative of the AC curve with respect to q:

dAC/dq = -40/q^2 + 0.

a. The short-run total cost (STC) is the sum of variable costs (SVC) and fixed costs (SFC). In this case, the function for STC is given by:

STC(q) = 0.1q^2 + 10q + 40

To find the variable cost (SVC), we need to subtract the fixed cost (SFC) from STC. Since the fixed cost is constant, it is equal to the STC at zero output. Therefore:

SFC = STC(0) = 0.1(0)^2 + 10(0) + 40 = 40

To find the variable cost, we subtract SFC from STC:

SVC(q) = STC(q) - SFC = 0.1q^2 + 10q

Therefore, SVC(q) = 0.1q^2 + 10q and SFC = 40.

b. The average cost (AC) is the total cost per unit of output. It is the sum of the average fixed cost (AFC) and the average variable cost (AVC):

AC(q) = AFC(q) + AVC(q)

The average fixed cost (AFC) is the fixed cost per unit of output. It decreases as the output increases. In this case, AFC is:

AFC(q) = SFC / q = 40 / q

The average variable cost (AVC) is the variable cost per unit of output. It increases as the output increases due to diminishing marginal returns. In this case, AVC is:

AVC(q) = SVC(q) / q = (0.1q^2 + 10q) / q = 0.1q + 10

Therefore, the average cost (AC) is:

AC(q) = AFC(q) + AVC(q) = 40/q + 0.1q + 10

To plot the curves, we need to find the points where the average cost (AC) is minimized, and then plot the average fixed cost (AFC), average variable cost (AVC), and average cost (AC) curves passing through that point.

To find the minimum point of AC, we take the derivative of AC with respect to q and set it equal to zero:

dAC/dq = -40/q^2 + 0.1 = 0

Solving for q, we get:

q = 20

Therefore, the minimum point of AC is at q = 20. Plugging this into the equations for AFC and AVC, we get:

AFC(20) = 2

AVC(20) = 12

Now we can plot the curves. Note that AFC decreases as output increases, and AVC increases as output increases.

The AC curve is U-shaped because the AFC curve decreases more rapidly than the AVC curve increases, up to the minimum point, and then the opposite happens. The curves are:

AFC(q) = 40/q

AVC(q) = 0.1q + 10

AC(q) = 40/q + 0.1q + 10

Note that the curves intersect at q = 20, AFC = 2, AVC = 12, and AC = 22.

c. The short-run marginal cost (SMC) is the additional cost of producing one more unit of output. In this case, the SMC is given by:

SMC(q) = dSTC/dq = 0.2q + 10

To plot the SMC curve, we can take the derivative of the AC curve with respect to q:

dAC/dq = -40/q^2 + 0.

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Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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The factors of the quadratic equation x² + 21x + 38 = 0 are (x + 2) and (x + 19), and the solutions are x = -2 and x = -19.

The process of factoring the quadratic equation x² + 21x + 38 = 0

Identify the coefficients of the quadratic equation.

The quadratic equation is in the form ax² + bx + c = 0. In this case, a = 1, b = 21, and c = 38.

Determine the factors of the constant term (c).

The constant term is 38. We need to find two numbers that multiply to 38. The possible pairs of factors of 38 are (1, 38) and (2, 19).

Find the pair of factors that sum up to the coefficient of the linear term (b).

The coefficient of the linear term is 21. We need to find the pair of factors from step 2 that add up to 21. The pair of factors (2, 19) satisfies this condition.

Write the quadratic equation in factored form.

Using the pair of factors (2, 19), we can write the quadratic equation in factored form as:

(x + 2)(x + 19) = 0

Solve for x by setting each factor equal to zero.

To find the solutions, we set each factor equal to zero and solve for x:

x + 2 = 0 => x = -2

x + 19 = 0 => x = -19

Therefore, the factors of the quadratic equation x² + 21x + 38 = 0 are (x + 2) and (x + 19), and the solutions are x = -2 and x = -19.

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Analysis of variance can be used to determine differences in test scores of more than two groups. It is true.

What is variance?

Apart from the measurement of statistics range and interquartile range, variance is a measure of dispersion that takes into account the spread of all data points in a data set. It is the measure of dispersion which has the most often utility, along with the standard deviation, which is nothing but the square root of the variance.

An analysis of variance (ANOVA) is called an analysis tool in statistics which separates an observed aggregate  variability which is found inside a two part data set.

As ANOVA is the extension of of t-tests and z-tests so a one way ANOVA can be used for three or more groups of data  in the purpose to gain information about the relationship in between dependent and independent variable.

So ANOVA can be used to determine differences in test scores of more than two groups.

Hence, the statement is true.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

Step-by-step explanation:

\(f(x)=\sqrt{25-x^2}\\\\f(3)=\sqrt{25-3^2}=\sqrt{25-9}=\sqrt{16}=4\)

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

Answer:

even i dont know can help

Answer:

a) $1,298   b) $1,448

Step-by-step explanation:

a)  total of monthly payments:  11 x 118 = $1,298

b ) total cost of refrigerator:   deposit + sum of monthly payments

                                              = 150 + 1298

                                              = $1,448

All the values of the solution are,

a) r'(t) = (1, 2t, 3t²)

b) T(1) = (1/√14, 2/√14, 3/√14)

c) r''(t) = r'(t) x r''(t) = (6t, -3t, 2).

We have to given that,

The function is,

⇒ y(t) = (t, t², t³)

a) For r'(t), we need to take the derivative of r(t) = (t, t², t³) with respect to t:

r'(t) = (1, 2t, 3t²)

b) For T(1), we need to normalize r'(t) at t = 1:

r'(1) = (1, 2, 3)

||r'(1)|| = √(1 + 2 + 3) = √14

Therefore, T(1) = r'(1) / ||r'(1)|| = (1/√14, 2/√14, 3/√14)

c) For r''(t), we need to take the second derivative of r(t) with respect to t:

r''(t) = (0, 2, 6t)

Then, we can find r'(t) x r''(t) by taking the cross product:

r'(t) x r''(t) = (6t, -3t, 2)

Therefore, r''(t) = r'(t) x r''(t) = (6t, -3t, 2).

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Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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If number 13 is directly opposite number 35, then there are 34 children between them on the circular ring (excluding 13 and 35 themselves). There are 34 + 2 = 36 children in the ring (including both 13 and 35).

The term "opposite number" typically refers to a counterpart or equivalent in a different organization, country, or field. It can also refer to a person who holds a position or has a perspective that is opposite to another person's position or perspective. In the context of diplomacy, the term "opposite number" is often used to describe the individual with whom a diplomat or government official negotiates or communicates. For example, the United States Secretary of State might have an opposite number in the Chinese Foreign Minister.

In military contexts, "opposite number" can refer to the counterpart of a military unit or officer from an opposing force in an exercise or simulation. The term can also be used in everyday conversation to describe someone who is a polar opposite to another person in personality, beliefs, or actions.

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Answer:

24+4x

Step-by-step explanation:

4(6)= 24

4(x)= 4x