67

Name

_Michael Goodger Lesson 4 Homework

1.Convert and write an equation with an exponent.

A. 2 meters to centimeters

2m = 200 cm

2 x 10 = 200

B. 108 centimeters to meters 108 cm = 1 m

1.08% 101=108

C. 2.49 meters to centimeters 2.49 m = 249

cm

2.49x 103= 249

D. 50 centimeters to meters 50 cm = 1 m

50x1=50

E 6.3 meters to centimeters 6.3 m = 63 cm

6.3x63=63

F 7 centimeters to meters Icm = _

m

In the space below, list the letters of the problems where smaller units are converted to larger units.

2. Convert using an equation with an exponent. Use your meter strip when it helps you.

a. 4 meters to millimeters

mm

b. 1.7 meters to millimeters

mm

1050 millimetorn

m =

m =

Answers

Answer 1

Answer:

Step-by-step explanation:

1)

A. 2 meters to centimeters

1 m = 100 cm

[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]

B)108 centimeters to meters

100 cm =1 m

[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]

C)2.49 meters to centimeters

1 m = 100 cm

[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]

D)50 centimeters to meters

100 cm = 1m

[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]

E)6.3 meters to centimeters

1 m = 100 cm

[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]

F)7 centimeters to meters

100 cm = 1 m

[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]

2)

a)4 meters to millimeters

1 m = 1000 mm

[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]

b)1.7 meters to millimeters

1 m = 1000 mm

[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]


Related Questions

Marco reads that a honeybee can fly up to 2.548 meters per second. He rounded the number to 2.55. To which place value did Marco round the speed of a honeybee?

Answers

Answer: Nearest hundredth

Step-by-step explanation:

URGENT!!!!!!!! PLS HELP DUE IN 5 MINUTESSS

The graphs show the costs of four canoe outfitters on the Brazos River The outfitters charges a minimum fee to rent une
In addition to a rental charge for each hour.
Which graph shows a minimum fee of $10

A) A

B) B

C) C

D) D

Answers

I strongly believe that the answer is d. But I really believe that is the answer

Answer:

it should be A

Step-by-step explanation:

The x-axis is going up by 2 meaning that it should be half of 10 on the y'axis (so sorry if this is wrong)

translation: 4 units left and 4 units up
J(−1, −2), A(−1, 0), N(3, −3)

Answers

Answer:

(-5,2), (-5,4), and (-1,1)

Step-by-step explanation:

What is oppesite of running 150 feet east

Answers

150ft west?????

I think

Answer:

150 feet west?

Step-by-step explanation:

lol ion know

Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer

Answers

Answer:

Vanessa, she only needs to buy one ink cartridge according to the question

where Tia has to buy more? I need more info on the question

Step-by-step explanation:

Tia bought less expensive printer.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.

Equation that represents the cost for Vanessa's printer is -

V = 90 + 25c

Equation that represents the cost Tia's printer is -

T = 80 + 20c

For {c} = 1, the cost for Vanessa's printer is -

V(1) = $115

For {c} = 1, the cost for Tia's printer is -

T(1) = 80 + 20 = $100

Therefore, Tia bought less expensive printer.

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Given: cos(3x – 180°) = Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, where 0 ≤ x < 180°

Which values represent the solutions to the equation?

{10°, 110°, 130°}
{20°, 100°, 140°}
{30°, 330°, 390°}
{60°, 300°, 420°}

Answers

Answer:

A: {10°, 110°, 130°}

Step-by-step explanation:

Did on edge

The solution to the equation is:

10° , 110° , 130°

Given,

cos(3x - 180) = -√3/2

Now,

To solve the trigonometric function,

cos(3x - 180) = -√3/2

Taking inverse of cos,

3x - 180° = [tex]cos^{-1} (-\sqrt{3}/2 )[/tex]

[tex]cos^{-1} (-\sqrt{3}/2 )[/tex] = 150°

3x - 180° = 150°

x = 10°

Hence the solutions of equation is the value of x that satisfies the relation .

x = {10° , 110° , 130° }

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A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

this is for you RSM people.

1 hour=13.5

2 hours=27

3 hours=40.5

3.5 hours=47.25

Step-by-step explanation:

The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph

Giveb the Parameters :

Distance biked = 9 miles Time taken = 2/3 hours

Recall :

Speed = distance / time

Speed = 9 ÷ 2/3

Speed = 9 × 3/2

Speed = 27/2 = 13.5 miles per hour.

Therefore, the constant variation is 13.5 mph.

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What is the slope of the line shown

Answers

Answer:

-1/2

Step-by-step explanation:

using rise over run, we can see that we go down one and to the left 2. one divided by two is 1/2 meaning 1/2 is the correct answer.

Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1150 and 1308 grams? (b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.

Answers

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.

Answers

Answer: C

Step-by-step explanation:

I just took the quiz and I got it right

Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

What is Complex number?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit

What is Modulus of a complex number?

Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin

Given,

Complex number z divides by a second complex number w

To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction

From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w

Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

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Find the value of x.
(5x-11)
V
(3x - 7)º

Answers

Answer:

1222222+1222222

Step-by-step explanation:

and then add doodod

What is AOM under what type of equation?​

Answers

AOM is under zero, as stated in the sequential equation

is this relation a function justify your answer

Answers

Answer:

D

Step-by-step explanation:

because two points on the x value shouldn't have more that one y value

Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6

Answers

It would be b because

Please help I don’t know what to do and I have a whole test on it

Answers

Answer:

a

Step-by-step explanation:

<dfh=<ehgfh=hg<dhf=<hgf

Aaron gets paid $152.80 for 8 hours of work. How much does he get paid for
every hour?

Answers

Answer:

19.10

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

what is the largest six digit number you can make that ends in an even number using 134569.

Answers

Answer:

965314

Step-by-step explanation:

Please mark me brainlest and hope that help (=

Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.

A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10

Answers

I’m pretty sure it’s A. Sorry if it’s not. :(

Answer:

A

Step-by-step explanation:

B^2 + 11b + 18 ( Factor the question)
Help please!

Answers

(x+2)(x+9)
................................

Answer:

=b^2+(9+2)b+18

=b^2+9b+2b+18

=b(b+9)+2(b+9)

=(b+9)(b+2)

Find the simple interest earned after 12 years on $1,350 at an interest rate of 8%.

Answers

Answer:

1296$

Step-by-step explanation:

0.08*1350 = 108

108* 12= 1296

Thats the simplest way I can tell you

<3

Red

Chapter 4
Solve.
1. Two trains leave a station at the same time, heading in opposite directions.
One train is traveling at 80 km/h, the other at 90 km/h. How long will it
take for the trains to be 425 km apart?​

Answers

Answer:

8850

Step-by-step explanation:

coz the train goes too slowly and lazy

PLEASE MARK ME AS BRAINLIEST

The relationship between the total amount spent on food and drinks by the customers that a waiter serves at a restaurant during a particular week and the waiter's total income for that week can be modeled by the equation y = 0.2x + 300, where x is the amount spent by the customers in dollars and y is the waiter's total income in dollars. By how much does the waiter's weekly income increase for every $500 spent by his customers during that week?
A
$100

B
$300

C
$400

D
$500

Answers

Answer:

A

320

B

360

C

380

D

400

Step-by-step explanation:

You would insert your given numbers to x and solve.

Example (A)

y=100(0.2) + 300

y=20 + 300

y=320

If you would like me to explain the rest just ask!

Hope this helps! :))

Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of per hour. A research study will measure the cost of the new method over a sample production period. a. Develop the null and alternative hypotheses most appropriate for this study. : - Select your answer - : - Select your answer - b. Comment on the conclusion when cannot be rejected. We - Select your answer - conclude that the new method reduces costs. c. Comment on the conclusion when can be rejected. Consider implementing the new method based on the conclusion that it - Select your answer - the mean cost per hour.

Answers

Hi, you've asked an incomplete question. The full question reads;

Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period.

a. Develop the null and alternative hypotheses most appropriate for this study.

b. Comment on the conclusion when H0 cannot be rejected.

c. Comment on the conclusion when H0 can be rejected

Explanation:

Remember, the null hypothesis usually represents the view the researcher has and that he wants to test or verify, while the alternative hypothesis refers to the opposite expected outcome.

a) Therefore, the null hypothesis is that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.

While the alternative hypothesis is that the newly proposed manufacturing method will not reduce the cost to lesser than $220.

b) When H0 (null hypothesis) cannot be rejected, it means that indeed the research data proved to show that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.

c) When H0 (null hypothesis) can be rejected it means that research data proved to show that the newly proposed manufacturing method would not reduce the mean cost to lesser than the current mean cost of $220.  Hence, the manager's proposal would not be accepted.

Mr. Kiernan decides to purchase a new West Virginia flag for his room that is double
in size of the one he currently has. He purchased the flag for $48.00. In Virginia
Beach, there is a 4.5% sales tax. What is the total cost of the flag, including tax?

Answers

Answer:

$50.16

Step-by-step explanation:

There is a sale tax on the item to be purchased, and the tax is 4.5% of the amount of the flag i.e 4.5% × $48.00 = $2.16

After the rate of the sale tax has been changed to dollars, we then add the amount of the sales to the amount of the flag to give the total amount to be paid i.e $2.16 + $48.00 = $50.16

Thank You

The absolute value on number line

Answers

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute value of 5 is 5.

How do you write 554.1 in words

Answers

Answer: Five hundred fifty four point one

Answer:

Five hundred fifty-four and 10/100.

Step-by-step explanation:

I think? I hope this helps :/

Use the figure above to answer the questions.
A Name the quadrilateral.
B. Name the sides.
C. Name the angles.
D. Identify the congruent angles and the congruent sides.​

Answers

Answer:

the answer is d

Step-by-step explanation:

the shape of it as well

4,378 divided by 15help

Answers

Answer:

291

Step-by-step explanation:

Answer:291.87

Step-by-step explanation:

3.22 divided by 2.[tex]3.22 divided by 2[/tex]

Answers

the correct answer is 1.61

In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.

Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =

A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $

Answers

Step-by-step explanation:

The order of the numbers doesn't matter, so we'll use combinations instead of permutations.  The number of combinations is:

₄₅C₈ = 215,553,195

So the probability of a ticket having the winning combination is 1 / 215,553,195.

The expected value to the state is:

E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)

E(X) = $19954

The expected value to you is:

E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)

E(X) = -$19954

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