1 pound is equivalent to ____ grams.

Answer:

17

Step-by-step explanation:

The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:

[tex]10, 12, 14, 16, 18, 20, 22, 24[/tex]

Since there is an even number of data values in this data set, there are two middle numbers. With 8 data values, the middle numbers are the data values at positions 4 and 5. These are 16 and 18. The median is the average of these numbers. We have

[tex]{\frac{ 16 + 18 }{2}}[/tex]

Therefore, the median is

[tex]17[/tex]

Answer:

8 > u > 6

Step-by-step explanation:

We have to solve this inequality as 2 separate inequalities.

==============================================================

Inequality 1 :

⇒ 10 > 5u/4

⇒ 5u < 10 × 4

⇒ 5u < 40

⇒ u < 8 [Box 1]

============================================================

Inequality 2 :

⇒ 5u/4 > 15/2

⇒ 5u/2 > 15

⇒ u/2 > 3

⇒ u > 3 × 2

⇒ u > 6 [Box 2]

============================================================

Solution :

⇒ 8 > u > 6

Answer:

Answer : Length(l) = 32 cm

Step-by-step explanation:

Given,

          Perimeter(P)=96 cm

          Length(l)=?

We know that,

                        P      = 3l

                        96    = 3l

                        96÷3 = l

                         32    = l

Therefore, length(l) = 32 cm

By applying the equation for the rotation around the origin we conclude that the image of the point (7, 8) after rotating 90° counterclockwise is (-8, 7).

In this question we must apply a rigid transformation on a point to find its image, rigid transformations are transformations applied on geometric loci such that Euclidean distances are observed in every point of the loci. A rotation about the origin is a kind of rigid transformation and is defined by the following expression:

(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where:

Please notice that positive values of θ represents a counterclockwise rotation. If we know that (x, y) = (7, 8) and θ = 90°, then the resulting point is:

(x', y') = (7 · cos 90° - 8 · sin 90°,  7 · sin 90° + 8 · cos 90°)

(x', y') = (-8, 7)

By applying the equation for the rotation around the origin we conclude that the image of the point (7, 8) after rotating 90° counterclockwise is (-8, 7).

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Answer:

About 12 blue m&m’s

Step-by-step explanation:

Answer:

Step-by-step explanation:

√(5²+12²) = ∛(64a³)

√(25+144)=√(64a)

√169 = √(64a)

13 = 4a

a = 13/4

Ty's brother will get 3/4th part of the pizza.

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Here, Total number of Pizza = 1

         Number of parts required = 4

Now, each member will get the part of pizza = 1/4

Total number of brothers = 3

Ty's brother will get pizza = 3 X 1/4

                                           = 3/4

Thus, Ty's brother will get 3/4th part of the pizza.

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Answer:

3/4

Step-by-step explanation:

because there are 4 people so ty get 1/4 and his brothers get the rest.

Answer:

[tex]\dfrac{2x+4}{x(x+2)(x-4)} \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}[/tex]

Step-by-step explanation:

Write out the expression as an identity:

[tex]\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+\dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\\implies \dfrac{x(2x+4)(x+2)(x-4)}{x(x+2)(x-4)} & \equiv \dfrac{Ax(x+2)(x-4)}{x}+\dfrac{Bx(x+2)(x-4)}{(x+2)}+\dfrac{Cx(x+2)(x-4)}{(x-4)}\\\\\implies 2x+4 & \equiv A(x+2)(x+4)+ Bx(x-4)+Cx(x+2)\end{aligned}[/tex]

Calculate the values of A, B and C using substitution:

[tex]\begin{aligned}2x+4 & = A(x+2)(x-4)+Bx(x-4)+Cx(x+2)\\\\x=4 \implies 12 & = A(0)+B(0)+C(24)\implies C=\dfrac{1}{2}\\\\x=-2 \implies 0 & = A(0)+B(12)+C(0) \implies B=0\\\\ x=0 \implies 4 & = A(-8)+B(0)+C(0) \implies A=-\dfrac{1}{2}\end{aligned}[/tex]

Replace A, B and C in the original identity:

[tex]\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+ \dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\& \equiv -\dfrac{1}{2x}+\dfrac{1}{2(x-4)}\\\\\implies \dfrac{2x+4}{x(x+2)(x-4)}& \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

                  = (x² - 14x + 49) - 49 - 15

                  =  (x² - 14x + 7²) - 49 - 15

                  =  (x − 7)² − (49 + 15)

                  =  (x − 7)² − 64

x² - 14x - 15 =  (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

Answer:

A - 84°

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle that intersects it.

The central angle of this circle measures 84° and it intercepts arc AB, meaning arc AB measures 84°

Answer: 67

Step-by-step explanation:

∛125 = 5

62 + 5 = 67

The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

or

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2   ⇒   b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1   ⇒   a = c + 4

(10 - c)/a = 1   ⇒   a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10)   ⇒   2a = 14   ⇒   a = 7

a - a = (c + 4) - (-c + 10)   ⇒   0 = 2c - 6   ⇒   c = 3

Finally, we have either

f(x) = a sin(bx) + c   ⇒   f(0) = c = 3

or

f(x) = a cos(bx) + c   ⇒   f(0) = a + c = 3

but the cosine case is impossible since a = 7.  

So, the given function has equation

f(x) = 7 sin(4x) + 3

Answer:

2

Step-by-step explanation:

I think Mrs. Nygaard would need 2 hours to work over the weekend to finish grading the projects .

( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’

Finding the solution for the inequality is as follows:-

y ≤  x² +x-4 by putting x and y equal to 0.

0 ≤ 0 + 0 -4

0 ≤ - 4

This is incorrect so (0,0) can not be the solution for this inequality.

y < x²+2x+1.

0 < 0 + 0 + 1

0 < 1

This inequality is showing the solution for (0,0)

Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

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Answer:

7 cm³

Step-by-step explanation:

Assume each cube has an edge 1 cm in length.

Each cube has volume 1 cm³.

There are 7 cubes.

volume = 7 cm³

Answer:

We know that the y intercept is -3 because that is where it intersects! The point for the y intercept is (0, -3)

Step-by-step explanation:

Answer:

  143

Step-by-step explanation:

The interval of interest extends from the mean score (71) to 2 standard deviations above the mean (71+2(6) = 83). The area under the normal distribution curve in this interval can be found using a suitable table, probability app, spreadsheet, or web site. It can also be found using the "empirical rule", which tells you that the 95% of the area is within 2 standard deviations of the mean.

__

Since the curve is symmetrical, and we're only interested in the area above the mean, the empirical rule tells us that 95%/2 = 47.5% of the sample will be in the range of interest.

  0.475 × 300 = 142.5 ≈ 143

143 students will have a score between 71 and 83.

__

The attachment shows a calculator output for the same calculation. You will notice it is slightly different from the "empirical rule," which is only an approximation. Either way, we find 143 students have scores in the range.

19 players x 87kg = 1653 total kg

1653 kg + 102kg = 1755 kg

1755kg / 20 players = 87.75kg mean mass

Answer: 87.75 kg

The answer to the all parts given below.

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.

For 5 cuts number of pieces will be 11 pieces.

General formula:

Tn= 2n+1

For 153 rope pieces number of rope cutting

2n+1=153

2n= 152

n= 76

For 11 cuttings rope pieces will be

2(11)+1

= 23

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The value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a probability distribution shown in the picture.

To find the probability P(X<3) = area up to 3

From the probability distribution:

P(X<3) = (1/2)×3×(0.20)

P(X<3) = 1.5×0.20

P(X<3) = 0.3

Thus, the value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

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Answer:

B. 0.08

Step-by-step explanation:

In order to solve this problem, we must account for all possibilities. The sum of all posssiblities must sum up to 1.

1 - High Attendance/No Rain

0.9*0.8 = 0.72

2- High Attendance/ Rain

0.4*0.2 = 0.08

3 - Low Attendance/No Rain

0.1*0.8 = 0.08

4 - High Attendance/No Rain

0.6*0.2 = 0.12

Now we answer the question of rain and high attendance.

0.08/1 = 0.08

[tex]~~~~\log_3 (x) = 4\\\\\implies x= 3^4 \\\\\implies x= 81[/tex]

Answer:

Point D

Step-by-step explanation:

[tex] \huge \qquad \sf Answer[/tex]

How to locate a point on a graph (x - y plane) :

The x - coordinate of a point on the graph shows its distance from y - axis and sign refers to its direction that is +ve sign means right side of y - axis and -ve sign means left side of y - axis.

We have been given its x - coordinate as 9, so the required point should be At a distance of 9 units from y - axis and in right side of y - axis.

And similarly, y - coordinate shows distance of point from x - axis, +ve for upward direction and -ve for downward direction.

and we have given the y - coordinate as 0, ao its distance from x - axis is 0. that means the point lies of x - axis.

And by Observing the points clearly we can figure out that the required point is D. that satisfy the condition.

[tex]\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}[/tex]

Let's substitute according to the formula.

[tex]A= 50000(1+ \frac{10}{100}{)}^{5}[/tex]

A= $80525.5

Now, we can find the interest paid

[tex]\large\boxed{I= A-P}[/tex]

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

[tex]I= 80525.5-50000[/tex]

I= $30525.5

Hence, the total amount paid after 5 years is $80525.5 and $30525.5 was paid as interest.

Answer:

6 schools

Step-by-step explanation:

I did the same assignment

Hi student, let me help you out! :)

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

We are asked to simplify the expression 2(7x+3)+9x.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

So, let's compute...

\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\//\\//\\\/

After performing multiplication we obtain

[tex]\star~\mathrm{14x+6+9x}[/tex]

Now add 9x:

[tex]\star~\mathrm{23x+6}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

$1 every 3 minutes

Step-by-step explanation:

Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.