What is 15/15+3(6+35)

Answer:

Frank scored 10 runs

B) the mean is 20

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:

40 / 8 = 5

So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.

Hope this helps :)

Answer:

59

Step-by-step explanation:

180-60-61= 59

hope this helps

Answer:

59 degrees

Step-by-step explanation:

It says the answer in the question.

The angles add up to 180 degrees.

60 + 61 = 121 degrees

180 - 121 = 59 degrees

Answer:

See below

Step-by-step explanation:

Answer:

= -4.41666666667

Step-by-step explanation:

Answer:

    \(-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\\)

LCM (3, 2 ,4) = 12

   \(\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}\)

The given sequence is

1, 1/2, 1/4, 1/8......

we can see that the ratio of the consecutive terms is the same. We have

1/2/1 = (1/4)/(1/2) = (1/8)/(1/4) = 1/2

This means that it is a geometric sequence

To find the amount of the substance left after 21 half lifes, we would find the 21st term of the sequence. The formula for finding the nth term of a geometric sequence is

an = a1r^(n - 1)

a1 = 1

n = 21

r = 0.5

Thus,

a21 = 1 * 0.5^(21 - 1) = 0.5^20

a21 = 0.00000095367

a21 = 1/1048576

The answer makes sense in the problem context because it follows the common ratio that was established at the begining.

Answer:

145cm                      

Step-by-step explanation:

90+10+9+8+7+6+5+4+3+2+1

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

In accordance with the information presented in the statement, we find a parabola whose axis of symmetry is parallel to the y-axis. The location of the vertex is the midpoint of the segment between the focus and a point of the directrix.

V(x, y) = 0.5 · (- 3, 4) + 0.5 · (- 3, 2)

V(x, y) = (- 3, 3)

The distance between the focus with respect to the vertex (p) is:

D(x, y) = F(x, y) - V(x, y)

D(x, y) = (- 3, 2) - (- 3, 3)

D(x, y) = (0, - 1)

Which a distance equal to - 1.

The standard form of the equation of the parabola is based on this model:

4 · p · (y - k) = (x - h)²             (1)

Where (h, k) are the coordinates of the vertex.

If we know that (h, k) = (- 3, 3) and p = - 1, then the standard form of the equation of the parabola is:

- 4 · (y - 3) = (x + 3)²

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

The statement has typing and orthographical mistakes. Correct form is presented below:

What is the standard form of the equation of the parabola with a focus at (x, y) = (- 3, 2) and directrix at y = 4.

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Answer:  41 or 85

Step-by-step explanation:

Range is the difference between the largest number and the smallest number.

The largest number is 72.  72 - 31 = 41

The smallest number is 54.  54 + 31 = 85

Adding either ONE of those numbers will result in a range of 31.

the expression \((2x^3)^3\) millimeters per second , after simplification we get \(8x^9\)

Given

The company uses the expression \((2x^3)^3\) millimeters per second to calculate the maximum capacity with area \(x^3\)

Lets apply the property of exponents to simplify the expression  \((2x^3)^3\)

We apply power property of exponents.

If we have exponent inside and outside the parenthesis then we multiply it

we distribute outside exponent inside the parenthesis

\((a^nb^m)^k=a^{nk}b^{mk}\)

In the given expression , 2 has exponent 1

\((2x^3)^3\\(2^1x^3)^3\\2^{1\cdot 3}x^{3 \cdot 3}\\2^3x^9\\8x^9\)

The simplified expression after applying the property is \(8x^9\)

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Answer:

8x^9

Step-by-step explanation:

(2x^3)(2x^3)(2x^3)

8x^9

Answer:32%

Step-by-step explanation:1000- 680=320

100-68=32

32%

The required equation of the line consisting of the hypotenuse is y = -3/4x + 5.

Given that,

The points​ A(0,5), B(4,2), and​ C(0,2) form the vertices of a right triangle in the coordinate plane, and the equation of the line that forms the​ hypotenuse is to be determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The coordinate of the hypotenuse is (0, 5) and (4, 2)
The required equation of the line is given as,

y - y₁ = [(y₂ - y₁) /  (x₂ - x₁)] (x - x₁)

Substitute the point in the above equation,
y - 5 = [2-5/4-0](x -0)
y = -3/4x + 5

Thus, the required equation of the line consisting of the hypotenuse is y = -3/4x + 5.

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Answer:

It is 4

Step-by-step explanation: I know its four because 72 divided by 18 is four. I also know that 64 divided by 18 is 3.555 which is close to four.

The mean of the sampling distribution (p) and The standard error of the mean (o)  are 56 and 2 respectively.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.

(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:

o = 12 / √36 = 2

(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.

This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.

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Step-by-step explanation:

the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)

= (3,14 ×16)+(196)

= 50,24 +196

= 246,24

= 246,2

Answer: x = 14.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/x = 5/9     just cross multiply

5x = 8(9)

x = 72/5     divide 5 both sides

x = 14.4

Answer:

B

Step-by-step explanation:

B is the only option between 0, 10 and 12, 1

The missing length from Fabian's measurement is 22.5

In this question, it is given that the scale factor is 2:5

And the widths are 6 and 15.

And the length is 9.

We have to find the measurement of the length after the scale factor .

And for that we multiply 9 with the scale factor, and on doing so, we will get

9 x 2.5 = 22.5

So the missing length from Fabian's measurement is 22.5

The concept of "scale factor" pertains to a numerical value which magnifies or scales the scale or dimension of an entity or system in a proportional manner. Resizing or rescaling objects while preserving their proportional relationships is a prevalent practice in multiple domains, such as mathematics, physics, engineering, and computer graphics.

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Fabian used a ratio table to show the original dimensions of a rectangle and the dimensions when the rectangle is changed by a scale factor. He forgot to enter the length of the new rectangle.

Scale factor

1

2.5

Width

6

15

Length

9

Which length is missing from Fabian’s table?

3.6

11.5

21.6

22.5

Answer:

\(P(Green) = \frac{6}{15}\)

Step-by-step explanation:

Given

\(Red = 9\)

\(Green = 6\)

Required

The probability of selecting green marble

This is calculated as:

\(P(Green) = \frac{Green}{Green + Red}\)

\(P(Green) = \frac{6}{9+6}\)

\(P(Green) = \frac{6}{15}\)

Answer:

60.5 or 60 1/2

Step-by-step explanation:

7 (2)

8.5 (1)

9 (1)

9.5 (2)

10 (1)

14 + 8.5 + 9 + 19 + 10

60.5

Answer:

300/60=5 Hours

Hope it helps

Answer:

5hours

Step-by-step explanation:

................

300÷60

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

1. The change per week is $40 as it is the coefficient.

2. The starting amount is $550 as it is the constant.

1. The change per week in the amount of money in the account is $40.

2. The starting amount of money in the account is $550.

Given that,

Ravi is putting money into a checking account.

Suppose that x and y are related by the equation;

y = 550 + 40x

Now, the change per week in the amount of money in the account, look at the coefficient of the x-term in the equation y = 550 + 40x.

In this case, the coefficient of x is 40.

Therefore, the change per week in the amount of money in the account is $40.

Now, for the starting amount of money in the account, look at the y-intercept of the equation y = 550 + 40x.

The y-intercept is the value of y when x is 0.

In this case, when x is 0, the equation becomes;

y = 550 + 40(0)

y = 550.

Therefore, the starting amount of money in the account is $550.

So, the change per week in the amount of money in the account is $40, and the starting amount of money in the account is $550.

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Answer:

5.5

Step-by-step explanation:

6 feet =12

6 feet = 6x2

11 feet shadow 11/2

answer=5.5

The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

Since

HEIGHT Eduardo is 6 feet tall and casts a 12-foot shadow. At the same time, Diane casts an 11-foot shadow.

So,

6 feet tall = 12

Now for 11 foot it should be half like 5.5

Hence, The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

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Answer:

4

Step-by-step explanation:

I used Desmos

We will see that the y-intercept of g(x) is larger than the y-intercept of f(x).

For a function y = f(x), the y-intercept is the value that takes y when we evaluate in x = 0.

So, for the first function:

\(f(x) = (1/5)*|x - 15|\)

The y-intercept is:

\(f(0) =  (1/5)*|0 - 15| = 15/5 = 3\)

For the second function:

\(g(x) = (x - 2)^2\)

The y-intercept is:

\(g(0) = (0 - 2)^2 = (-2)^2 = 4\)

Then we can see that g(x) has a greater y-intercept than f(x).

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The result of adding -4 (row 1) to row 3 is determined as (0  - 9   2)|12.

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [1  2  1] | -5

To multiply row by -4, we will multiply each entity by 4 as shown below;

= -4(1 2  1) | -5

= (-4  -8  - 4) |20

To add the result to 3;

(-4  -8  - 4)|20 + (4  - 1   6) | -8

= (0  - 9   2)|12

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, by - 4.

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The sequence given by b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2) is neither arithmetic nor geometric.

To determine the first five terms of the sequence and whether it is arithmetic, geometric, or neither, let's calculate the values step by step.

Sequence 1: b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2)

Let's find the first five terms:

b(1) = 2 (given)

b(2) = 2 × b(1) - 1 = 2 × 2 - 1 = 4 - 1 = 3

b(3) = 2 × b(2) - 1 = 2 × 3 - 1 = 6 - 1 = 5

b(4) = 2 × b(3) - 1 = 2 × 5 - 1 = 10 - 1 = 9

b(5) = 2 × b(4) - 1 = 2 × 9 - 1 = 18 - 1 = 17

The first five terms of the sequence are: 2, 3, 5, 9, 17.

To determine whether this sequence is arithmetic, geometric, or neither, we can calculate the common difference (d) for arithmetic sequences and the common ratio (r) for geometric sequences.

Arithmetic sequences have a constant difference between consecutive terms, while geometric sequences have a constant ratio between consecutive terms.

Let's check the differences between consecutive terms:

d(1) = b(2) - b(1) = 3 - 2 = 1

d(2) = b(3) - b(2) = 5 - 3 = 2

d(3) = b(4) - b(3) = 9 - 5 = 4

d(4) = b(5) - b(4) = 17 - 9 = 8

The differences are not constant, so the sequence is not arithmetic.

Now, let's check the ratios between consecutive terms:

r(1) = b(2) / b(1) = 3 / 2 = 1.5

r(2) = b(3) / b(2) = 5 / 3 ≈ 1.6667

r(3) = b(4) / b(3) = 9 / 5 = 1.8

r(4) = b(5) / b(4) = 17 / 9 ≈ 1.8889

The ratios are also not constant, so the sequence is not geometric either.

Therefore, the sequence given by b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2) is neither arithmetic nor geometric.

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Answer:

<2 = 35degrees

<3 = 55degrees

Step-by-step explanation:

Find the diagram attached:

From the diagram:

<3 + <4 = 90

<3 + 35 = 90

<3 = 90 - 35

<3 = 55degrees

Also m<1 + m<2+ m<3 = 180 (sum of angles in a traingle)

90+<2+55=180

145+<2 = 180

<2 = 180 - 145

<2 = 35degrees