20 points!!!


1. (07.01 MC)

Part A: Explain why x = 5 makes 4x - 1 s 19 true but not 4x -1 < 19. (5 points)


Part B: What value from the set {6, 7, 8, 9, 10) makes the equation 5x + 2 = 47 true? Show your work. (5 points)

​

Answer:

1. 8000mm is the same as 8 metres. So 8km is greater than 8000mm

2. 5000m is the same as 5 km. So 50 km is greater than 5000m

3. 100cm is the same as 1 m. So 10m is greater than 100cm

4. 40 cm is the same as 400mm. So 4mm is less than 40cm.

Answer:

0.5s

Step-by-step explanation:

His initial mean would be calculated by:
His minimum race time = 19.8s

The maximum race time = 19.8 + 5.6 = 25.4s

Since the mode is also 25.4, there are 2 25.4s races.

Since the median is 23.8s and the number of race times is even, the final race time can be calculated by:

25.4- 23.8s = 1.6s

23.8-1.6 = 22.2s

So the race times are 19.8s, 22.2s, 25.4s and 25.4s.

This means that his initial mean was (19.8+22.2+25.4+25.4)/4 = (42+50.8)/4= 92.8 /4 = 23.2s

With the new race time, the equation will change to (92.8+25.7)/(4+1)= 118.5/5= 23.7s

So the mean change would be 23.7 - 23.2 = 0.5 s.

Hope this helps!

Answer:

It is called the test statistic

Step-by-step explanation:

Hope this helps:)...if not then sorry for wastign your time and may God bless you:)

x=2

_______

x= [tex]\frac{1}{3}[/tex]

Answer:

2-5f ≤ 52, so -5f ≤ 50

f≥-10, because we flip the sign when multiplying or dividing by a neg number for inequalities.

Draw a closed circle on -10 and in the direction all the way towards the right arrow.

Answer: x>=200

Step-by-step explanation:

Note the derivative rule

[tex]\\ \boxed{\star\bf \dfrac{d}{dx}(x^n)=nx^{n-1}}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(2^{x+1}-2^{x-1})[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}2^{x+1}-\dfrac{d}{dx}2^{x-1}[/tex]

[tex]\\ \rm\Rrightarrow (x+1)2^{x+1-1}-(x-1)2^{x-1-1}[/tex]

[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^{x-2}[/tex]

[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x/2^2[/tex]

[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 2^x(x+1-(x-1)2^{-2})[/tex]

[tex]\\ \rm\Rrightarrow 2^x(x+1-x/4-1/4)[/tex]

Answer:

Rational number

Step-by-step explanation:

√16 is Rational number simply because its value is 4, which can be expressed as a Ratio of Two Numbers

Answer:

3,500

Step-by-step explanation:

700,000/200

7,000/2

3,500

Answer:

125 ways

Step-by-step explanation:

5 x 25 = 125

Hope this helps!

The line of best fit shows that Luther can expect the speed to be 51 miles/hour when he throws 80 pitches and 64 miles/hour when he throws 54 pitches.

The average speed of Luther's pitches when he throws 80 pitches will be:

y = -0.511x + 91.636

= -0.511(80) + 91.636

= 50.756

= 51

Also, the number of pitches that Luther can throw when the speed is 64 miles per hour will be:

y = -0.511x + 91.638

64 = -0.511x + 91.638

0.511x = 91.638 - 64

0.511x = 27.636

x = 54

Therefore, the number of pitches will be 54.

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Answer:240

Step-by-step explanation: ×/6 =40

Multiply both sides by 6

× is 240

Answer:

$15.00

Step-by-step explanation:

Just did the quiz

By evaluating the piecewise function, we will see that the brother owes $15.

The piecewise function is:

y = 26,   if 0 < h < 4

y = 26 + 5*(h - 4),  if 4 < h < 8

y = 60, if 8 < h

Barbara uses it for 3 hours, so we only need to use the first part for her, so she needs to pay $26.

Then the brother uses it for 4 hours (and we need to add the 3 hours that Barbara used it, so we have h = 7).

Then for the 7 hours the two brothers need to pay:

y = $26 + $5*(7 - 4) = $41

If we subtract the part that Barbara needs to pay we get.

$41 - $26 = $15

This means that the correct option is $15.

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Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The cost of 500 shares of Delta Air is $25,305.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of a single share is $50.61, therefore, the cost of 500 shares will be,

Cost of 500 shares = 500 × cost of single share

                                 = 500 × $50.61

                                 = $25,305

Hence, the cost of 500 shares of Delta Air is $25,305.

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Probability helps us to know the chances of an event occurring. The probability that a person will be a female and prefer suspense movies is 0.047.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The total number of people who were surveyed are:

Total Number of people = 82 + 94 +18 + 46 + 48 + 91 = 379

Also, it is mentioned in the table that the number of females who prefers suspense movies is 18. Therefore, the probability that a person will be a female and prefer suspense movies will be,

[tex]\rm Probability = \dfrac{\text{Number of females who prefers suspense movies}}{\text{Total Number of people}}\\\\Probability = \dfrac{18}{379} = 0.047[/tex]

Hence, the probability that a person will be a female and prefer suspense movies is 0.047.

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Answer:

Greatest diameter of hemisphere = 14 cm

Surface area of solid = 1330 cm²

Step-by-step explanation:

Side of the cube (a) = 14 cm

If a cube is surmounted (placed right over its top) by a hemisphere, then that means that the greatest diameter of the hemisphere will be equal to the measure of the edge of the cube (a cube has equal sides). Hence,  the greatest diameter of the hemisphere is 14 cm & the radius (r) will be 14/2  = 7 cm (radius = ½ diameter)

Now, we need to find the surface area of the solid.

Here, the solid comprises of a cube & a hemisphere sharing a same circular base area. Hence,

Surface area of the solid

= Surface area of cube + Curved surface of hemisphere - Circular base area

= 6a² + 2πr² - πr²

= 6a² + πr²

= 6(14)² + 22/7×(7)²        [π = 22/7]

= 1176 + 154

= 1330 cm²

[tex]\rule{150pt}{2pt}[/tex]

NOTE:

Refer to the attached picture to see how a hemisphere is surmounted on top of a cube.

[tex]\rule{150pt}{2pt}[/tex]

Please find attached herewith the solution of your question.

If you have any doubt, feel free to ask.

answer:62.5

a dozen=12 eggs

12× 2 eggs=300

5 eggs=x

cross multiply

24x=1500

thus x=62.5

Answer: $15.49.

Step-by-step explanation: So far, her pizza already costs $13.99 because she chose large.  However, she also ordered two toppings for $0.75 each, which is $1.50.  We need to add $13.99 and $1.50 to find out the total cost of her custom pizza.

$13.99 + $1.50 = $15.49.

Therefore, the total cost of her pizza is $15.49.

Have a great day! :)

Ty total compensation for the week where he earns a base rate of $12 per hour and receive a weekly attendance award of $20 is $500.

Rate is the ratio between two related quantities in different units.

Therefore, he earn a base rate of $12 per hour and receives a weekly attendance award of $20.

If he works 40 hours a week, his compensation will be as follows:

let

y = total compensation

x = number of hours worked

Hence,

y = 12x + 20

y = 12(40) + 20

y = 480 + 20

y = $500

Therefore, Ty total compensation is $500.

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Answer:

1. 360 km

2. 2 seconds

Step-by-step explanation:

Formula

distance = speed × time

Given:

⇒ distance = 120 × 3 = 360 km

----------------------------------------------------------------------------------

Given:

To find time (t), use the SUVAT equation:  v = u + at

⇒ 20 = 0 + 10t

⇒ 20 = 10t

⇒ t = 20/10

⇒ t = 2 s

Step-by-step explanation:

normal 100 part sale 15 part saple price 85 part

85/100 = 272000/normal price

normal price = 272000 × 100/85

= 320000

Answer:

312800

Step-by-step explanation:

You could do 272000 times 15% then add the discount price

which is 272000 + 40800 = 312800

Answer:

Day 44

Step-by-step explanation:

Given function:

[tex]f(t)=500t^2[/tex]

where:

To find the day on which the number of daily hits reaches 1,000,000, set the function to 1,000,000 and solve for t:

[tex]\begin{aligned}f(t) & =1000000\\ \implies 500t^2 & = 1000000\\ t^2&=\dfrac{1000000}{500}\\ t^2 & = 2000\\ t & = \pm \sqrt{2000}\\ t & = \pm 44.72135955...\end{aligned}[/tex]

As time in positive, t = 44.72135955 only.

This tells us that the number of daily hits reaches 1,000,000 during the 44th day.  

Answer:

Exact Form:

3√5

Decimal Form:

6.70820393

Step-by-step explanation:

Answer:

Distance = 3√5 or 6.708203932,,,

Step-by-step explanation:

Find the distance between the y-values and x-values which in this case would be 6 and 3. Use the Pythagorean theorem.

[tex]3^2 + 6^2 = 45[/tex]

Simplify.

[tex]\sqrt{45} = 3\sqrt{5}[/tex]

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Answer:

y = -2x +2 I think

Step-by-step explanation:

Answer:

x*5.5 + y* 7.25 = 45.5

x + y = 7

Step-by-step explanation:

every Espresso cost 5.5 => x*5.5

And the total cost is 45.5 so the sum should be 45.5

there are 7 coffees. means that the number of Espresso and latte is 7

Answer:

A. 3,703 inches squared

Step-by-step explanation:

I took the test and got it right. #platofam