A company finds that on average, they use 43 minutes for each meeting. An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings. If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information? Drag and drop the correct number into the box. Response area

Answer:

12y² - 32

Step-by-step explanation:

4y² + 4(2y² - 8) = 4y² + 8y² - 32 = 12y² - 32

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

$290.00

Step-by-step explanation:

The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.

Answer:

400.00

Step-by-step explanation:

is that what you meen ?

Hello, the answer is $450.

Here's how I got the answer...

We know Bill earns $10 per hour.. He works 40 hours at regular rate, which would make about $400.

He then works for 2 more hours, makes that $20..

He also then works for 3 more hours, makes that $30..

Now you add that up. The answer would be $450.

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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Answer:

576 students choose cheeseburgers

Step-by-step explanation:

Given: In a survey, it was determined that 40% of students preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos.

To find: Number of students out of 1800 who choose cheeseburgers

Solution:

Percentage of students who preferred cheeseburgers = 32%

Total number of students = 1800

Number of students out of 1800 who choose cheeseburgers = \(\frac{32}{100}(1800)=576\)

Answer:

The value of 4 is 400

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Answer:

1716

Step-by-step explanation:

We can use the nCr equation to find this

n=13

r=7

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

A = 94.6ft^2

Step-by-step explanation:

In order to be able to find the area of a trapezoid or any quadrilateral shape we need to use the equation:

A= a+b/2h

As we know we have the number base 7.7ft, base 14.3ft, and height of 8.6ft so then we take these numbers :

7.7 + 14.3/2 x 8.6 = 94.6

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Step-by-step explanation:

a line with undefined slope is a vertical line, because x does not change on this line at all, and therefore the shoe is y/0.

a vertical line is parallel to the y-axis.

and to go through the given point, it has to use the x- coordinate.

so, the equation is

x = -5

that's really it.

this is the line of all points with the x-coordinate = -5. any value for y is valid.

Step-by-step explanation:

Given equation, 2x

3

+3x

2

+3x+1=0

⟹2x

3

+2x

2

+x

2

+2x+x+1=0⟹(2x+1)(x

2

+x+1)=0

Solving the 2 equations, we have x=

2

−1

,

2

−1±

3

i

Answer:

y( y^2+1+2y+2)

Step-by-step explanation:

taking common of all

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

Step-by-step explanation:

a-b=21

5a-2b=18

Using elimination, we have

5a-5b=105

5a-2b=18

So:

3b=-87 so b=-29

Substituting, a=-8

(a,b)=(-8,-29)

Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:

-4.8

Step-by-step explanation:

-4 4/5 = -(4 + 4/5) = -(4 + 0.8) = -(4.8) = -4.8

Answer:

\(g^{-1}\)(x)=-\(\frac{3x}{2}\)-\(\frac{15}{2}\)

Step-by-step explanation:

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Formula for circumference is C= πd, meaning pi multiplied by diameter. I will complete the question using both 3.14 for pi, and the pi key on the calculator, as I am not sure what the rules are for your mathematics class.

Formula C=πd, where diameter (given: 56) is 56 and pi is 3.14.

C=πd

  = 3.14 x 56

  =175.84

∴ The circumference of the wheel is about 175.8cm.

To find how much distance covered in 100 revolutions, we must multiply the distance covered in one revolution by 100.

175.84 x 100= 17584

The question does not ask to convert to meters or kilometers so I may leave it like this.

If you are told otherwise, follow the rules for converting.

∴ The distance covered in 100 revolutions is 17,584cm.

Formula C=πd where d equals 56 and pi is the full value of pi (3.1415926....)

C=πd

 = π x 56

 =175.929

As you can see, we get a more accurate answer, but again, it is all up to your class rules.

∴ About 175.93 cm circumference

Revolutions:

175.93 x 100 = 17593

∴ About 17, 593cm.

I hope this helps!

The speed of the ball after one second is given as follows:

9.175 m/s.

The speed function is the derivative of the position function, which is graphed in this problem.

The position function, in meters, for a projectile's height, is given as follows:

h(t) = -4.9t² + v(0)t + h(0).

In which:

From the graph, the initial height is given as follows:

h(0) = 6.

When t = 4, h = 2.5, hence the initial velocity is obtained as follows:

2.5 = -4.9(4)² + 4v(0) + 6

4v(0) = 2.5 - 5 + 4.9(4)²

4v(0) = 75.9

v(0) = 75.9/4

v(0) = 18.975.

Then the position function is of:

h(t) = -4.9t² + 18.975t + 6.

The velocity function is the derivative of the position, hence:

v(t) = -9.8t + 18.975.

Then the velocity after one second is of:

v(1) = -9.8 + 18.975 = 9.175 m/s.

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According to the properties of equality,

In our case,

Therefore, the missing number is 3.

Answer:

  D'E' = 4/5

Step-by-step explanation:

Corresponding sides have the same scale factor (the dilation factor).

  D'E'/DE = E'F'/EF

  D'E' = (DE)(E'F'/EF) = 8((3/5)/6) . . . multiply by DE; substitute given values

  D'E' = 4/5

Answer:

1/6 chance

Step-by-step explanation:

Answer:

the measurement of angle 6 is 60