Simplify the following:

a. (x5)(x8) =

b. k9/k2 =

c. (w6)3 =

d. (53)(54) =

Answer:

E

Step-by-step explanation:

We are given that a particle's position along the x-axis at time t is modeled by:

[tex]x(t)=2t^3-21t^2+72t-53[/tex]

And we want to determine at which time(s) t is the particle at rest.

If the particle is at rest, this suggests that its velocity at that time is 0.

Since are we given the position function, we can differentiate it to find the velocity function.

So, by differentiating both sides with respect to t, we acquire:

[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]

Differentiate. So, our velocity function is:

[tex]v(t)=6t^2-42t+72[/tex]

So, we will set the velocity to 0 and solve for t. Hence:

[tex]0=6t^2-42t+72[/tex]

We can divide both sides by 6:

[tex]0=t^2-7t+12[/tex]

Factoring yields:

[tex](t-3)(t-4)=0[/tex]

By the Zero Product Property:

[tex]t-3\text{ and } t-4=0[/tex]

Hence:

[tex]t=3\text{ and } t=4[/tex]

Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.

Our answer is E.

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

Complete Question

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.0°C. Find the probability that a randomly selected thermometer reads between 0.50°C and 1.50°C and draw a sketch of the region.

Answer:

0.24173

Step-by-step explanation:

We would solve this question using Z score formula.

z = (x-μ)/σ

where:

x is the raw score

μ is the population mean = 0°C

σ is the population standard deviation =  1°C

For x = 0.5°C

z = (0.5 - 0)/1

z = 0.5

Probability value from Z-Table:

P(x = 0.5) = 0.69146

For x = 1.5°C

z = (1.5 - 0)/1

z = 1.5

Probability value from Z-Table:

P(x = 1.5) = 0.93319

The probability of that a randomly selected thermometer reads between 0.50°C and 1.50°C is calculated as:

P(0.5 < Z < 1.5) = P(x = 1.5) - P(x = 0.5)

= 0.93319 - 0.69146

= 0.24173

Find attached to this answer the sketch of the region.

Answer:

true

Step-by-step explanation:

udh xxx yxdydudhxhxhddhdhdhududududdu

Answer: equal

Step-by-step explanation:

The square root of 35 is 5.9

5 9/10 = 5.9

Answer:

v = 1 1/4   (1.25)

Step-by-step explanation:

4/5 + v = 41/20

16/20 + v = 41/20

16/20          16/20

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

v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4

Answer:

a. The measure of angle ABC = The measure of angle A prime B prime C

Step-by-step explanation:

Answer Below

30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.

Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store

Purchase online- $112

Purchase in-store-$96

The better deal is in-store

Answer:

(A) $208   (B) 224   (C) the online one. it cost less

Step-by-step explanation:

(A) find 30% of $160 and add it to 160. put that answer in dollars.

(B) find 40% of $160 and add it to 160. put that answer in dollars.

(C) it is the one that costs less

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)

Answer:

2/3

Step-by-step explanation:

[tex] \frac{3}{4} n = \frac{1}{2} \\ \\ multiply \: both \: sides \: by \: \frac{4}{3} \\ \\ \frac{ \cancel4}{\cancel3} \times \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \: \: \red{ \bold2}}{3} \times \frac{1}{ \cancel2} \\ \\n = \frac{2 \times 1}{3 \times 1} \\ \\ n = \frac{2}{3} [/tex]

Answer:

I'm pretty sure the answer to this is y=3

Answer:

infinity

Step-by-step explanation:

lol

Answer:

y=5x+25

Step-by-step explanation:

Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25

y=5(0)+25

y=0+25

y=25

Answer:

x=1

Step-by-step explanation:

22-18=4  18-18=/

18x1=18

22=18(1)+4

22-18(1)=4

Answer:

22=18x + 4

Step-by-step explanation:

collect like terms 22 and +4

+4 crosses equality sign and turns to -4

you get 22-4=18x

therefore 18x=18

cancel 18 in both sides x = 1

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

[tex]|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.[/tex]

[tex]|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.[/tex]

[tex]|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.[/tex]

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

[tex]Class\ width =\frac{83-7}{6}[/tex]

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

For more information on this visit

https://brainly.com/question/17871636?referrer=searchResults

Answer:

1/2 cups of brown sugar.

Step-by-step explanation:

1/18 per serving

9 servings

multiply 1/18 by 9.

Your answer is 9/18, which can be reduced to 1/2. Hope this helps

Answer:

[tex] = ( \frac{1}{18} \times 9) \\ = \frac{1}{2} cups \: of \: brown \: sugar[/tex]

Answer:

y = 16, don't know if I'm 100% right but hope this helps.

Step-by-step explanation:

since they both equal Y they may be equal to each other

Then you would subtract 2x from both sides canceling it out on one side

2x + 8 = 5x - 4

-2x         -2x

This would make the equation 8 = 3x - 4

next you add the 4 from both sides

8  = 3x - 4

+4         +4

This will leave you with 12 = 3x

now you divide 3 from both sides and 12/3 = 4 makes X = 4

next you take (4) and plug it in to one of the equations

y = 2(4) + 8

y = 8 + 8

y = 16

Answer:

[tex]5.6 *10^7[/tex]

Step-by-step explanation:

Given

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Required

Solve

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Apply distributive law of algebra

[tex](4.54 - 3.98) *10^8[/tex]

Evaluate the expression in bracket

[tex](0.56) *10^8[/tex]

Remove bracket

[tex]0.56 *10^8[/tex]

When a number is in standard form: [tex]a * 10^n[/tex]

The value of a must be: [tex]1 \le a \le 10[/tex]

So, the expression becomes:

[tex]5.6 *10^{-1}*10^8[/tex]

Apply law of indices

[tex]5.6 *10^{-1+8}[/tex]

[tex]5.6 *10^7[/tex]

Answer: A closed, two-dimensional or flat figure

Step-by-step explanation:

Answer:

Different plane shapes have different attributes, such as the numbers of sides or corners. There are many kinds of plane shapes, but these are the most known squares, rectangles, circles, triangles, and octagons.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying:

Step-by-step explanation:

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

Answer:

1.5

Step-by-step explanation:

Answer:

I think it's A because that's only 10,620

Answer: b. 11 laptops and 19 tablets

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because -4 is greater than -7