suppose each license plate in a certain state has three letters followed by three digits. The letters H and L and the digits 1, 2, and 9 are not used. So, there are 24 letters and 7 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format.

Answers

Answer 1

Number of license plates = 24 x 24 x 7 x 7 x 7

= 197568


Related Questions

How to convert 1 million seconds to hours

Answers

Solution

Step 1

To convert seconds to hours, divide the seconds by 3600.

Step 2

1 million seconds = 1000000 seconds

[tex]\begin{gathered} To\text{ hours} \\ \\ \text{= }\frac{1000000}{3600} \\ \\ =\text{ }277\frac{7}{9}\text{ hours} \end{gathered}[/tex]

factor out the coefficient of the variable term 4x-20

Answers

the given expression is,

4x - 20 = 0

here 4 is the coefficient of variable x

4x = 20

x = 20/4

x = 5

thus, the value of x is 5


What is the value of x-9 if x = -24?

A. 33
B. 15
C. -15
B. -33

Answers

Answer:

D

Step-by-step explanation:

don't forget to follow rate like

Answer:

The second B) - 33

Step-by-step explanation:

-24 - 9 = -33.

Which describes how to find all rotation angles less that 360° that will map a regular polygon onto itself?

Answers

This question is about rotations of polygons.

To rotate a polygon onto itself, we need to know the exact rotation we have to do. This rotation depends on the type of polygons, specifically, the number of sides.

To know the exact angle rotation to map the polygon onto itself, we just have to divide 360° by the number of sides.

Therefore, the right answer is the third choice.

Answer:

This question is about rotations of polygons.

To rotate a polygon onto itself, we need to know the exact rotation we have to do. This rotation depends on the type of polygons, specifically, the number of sides.

To know the exact angle rotation to map the polygon onto itself, we have to divide 360° by the number of sides.

Therefore, the right answer is the third choice.

Step-by-step explanation:

How to find the products of binomials

Answers

Answer:

FOIL Method! (EXPLAINED BELOW)

Step-by-step explanation:

FOIL MEANS First Out In Last.

For example:

Binomial: (a+b) (a+b)

STEP 1: Multiply the first term of each bracket.

      (a+b) (a+b)

      So, a * a =    [tex]a^{2}[/tex]

      The number would be positive since both terms are positive.

STEP 2: Multiply the outer terms.

      (a+b) (a+b)

      So, a * b = ab

      The number would be positive since both terms are positive.

STEP 3: Multiply the inner terms.

       (a+b) (a+b)

      So, a * b = ab

      The number would be positive since both terms are positive.

STEP 4: Multiply the last terms.

       (a+b) (a+b)

       So, b * b = [tex]b^{2}[/tex]

      The number would be positive since both terms are positive.

STEP 5: Put them together with the appropriate signs.

      [tex]a^{2} + 2ab + b^{2}[/tex]

Write the slope-intercept form of an equation for
the line of fit. Use points (1997, 683) and (2003, 56).

Answers

Answer:

y = −209/332x + 644129/332

Step-by-step explanation:

Which is the domain and range of the parabola with the equation y = 0.5(x²-10x-5)?

Answers

The domain of the given function is the set of all real numbers that is represented as x ∈ (-∝,∝ ) and range of the function is [-15,∝).

What is domain and range of a function?

The set of values that can be plugged into a function is known as its domain.  The range of a function is the collection of all potential values that can result from the dependent variable, or the collection of all possible values after substituting the domain.

Domain of a polynomial function is the set of all real numbers which is given by x ∈ (-∝,∝ ).

Since the given function y = 0.5(x^2 - 10x - 5) is a polynomial function, it's domain is x ∈ (-∝,∝ ).

To obtain the range of the function, plot the graph of the parabola which is shown in the figure.

The vertex of the parabola is at (5,15). Value of y does not go below 15. Therefore the set of all possible values that the function takes is given by [-15,∝).

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Pleaseeeee helpppppp meeeee ​

Answers

The coordinates of the vertex and the range of the function y = |3 · x + 6| - 4 are (x, y) = (- 2, - 4) and y ≥ - 4, respectively. (Correct choice: B)

What is the vertex and the range of a function?

In this problem we have an absolute value function of the form y = |a · x + b| + c, of which we need to determine the coordinates of the vertex and the range of the function. The coordinates of the vertex is the point of the function such that:

x-Coordinate

|a · x + b| = 0

a · x + b = 0

x = - b / a

y-Coordinate

y - c = 0

y = c

And the range of the function is:

y ≥ c

If we know that a = 3, b = 6 and c = - 4, then the coordinates of the vertex and the range of the function are, respectively:

Coordinates of the vertex

(x, y) = (- 2, - 4)

Range of the function

y ≥ - 4

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help me please, correct answer gets brainliest

Answers

Answer:

Only D and B

Step-by-step explanation:

Consider a set of data in which the sample mean is 23.8 and the sample standard deviation is 6.6. Calculate the z score given that x= 26.7 round your answer two decimal places.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

[tex]\begin{gathered} mean(\mu)=23.8 \\ standard\text{ }deviation(\sigma)=6.6 \\ x=26.7 \end{gathered}[/tex]

STEP 2: Write the formula for calculating z-scores

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By substitution,

[tex]\begin{gathered} z=\frac{26.7-23.8}{6.6}=\frac{2.9}{6.6}=0.43939393939 \\ \\ z\approx0.44 \end{gathered}[/tex]

Hence, the z score is approximately 0.44 to 2 decimal places

Connor filled his 108 gallon pool with water in 8 hours. How many gallons per
hour did he use?

Answers

Answer:

I'm pretty sure it's 13.5.

Step-by-step explanation:

Boom first let's do 108 ÷ 8

After that you should get 13.5.

13 and a half gallons per hour.

What is the slope of the line that contains the points (-3, -4) and (-6, 2)?

Answers

The slope of the line that contains the (-3, -4) and (-6, 2) is -2.

How to find the slope of a line?

The slope of a line is the change in the dependent variable with respect to the change in the independent variables.

The slope is refer to as rise over run.

Therefore, the slope of the line that contains the points (-3, -4) and (-6, 2) can be found as follows:

slope = y₂ - y₁ / x₂ - x₁

where

x₁ = - 3

x₂ = - 6

y₁ = - 4

y₂ = 2

Therefore,

slope = m = 2 + 4 / -6 + 3

slope = 6/ -3

Therefore,

slope = - 2

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Graph the function h(x)=. I have a picture of the problem

Answers

Let's begin by listing out the given information

[tex]\begin{gathered} h(x)=-\frac{2}{3}x-2 \\ h(x)=y \\ y=-\frac{2}{3}x-2 \end{gathered}[/tex]

We will graph the function by assuming values for the independent variable (x = -3, 0, 3

[tex]\begin{gathered} y=-\frac{2}{3}x-2 \\ x=-3 \\ y=-\frac{2}{3}(-3)-2=2-2=0 \\ (x,y)=(-3,0) \\ x=0 \\ y=-\frac{2}{3}(0)-2=0-2=-2 \\ (x,y)=(0,-2) \\ x=3 \\ y=-\frac{2}{3}(3)-2=-2-2=-4 \\ (x,y)=(3,-4) \end{gathered}[/tex]

We will plot the ordered points (shown below)

Jaylene works at a book store. She is paid an hourly rate plus 10% commission on everything she sells. One week she was paid $381.25 for working 15 hours and selling $1,225 worth of books. What is her hourly rate?

Answers

She is paid an hourly rate plus 10% commission on everything she sells

Total amount she get = Hourly rate + 10% on sale price of the objects

One week she was paid $381.25 for working 15 hours and selling $1,225 worth of books.

Let the hourly wages is x

She paid $381.25 for working 15 hours

for hourly rate divide the amount by number of hours :

[tex]\begin{gathered} \text{ Hourly Rate=}\frac{381.25}{15} \\ \text{ Hourly rate=25.416} \end{gathered}[/tex]

The hourly rate is $25.416

Answer : The hourly rate is $25.416

PLEASE HELP ME I WILL MARK YOU BRANLYEST
Solve the inequality and graph the solution.

−0.8b + 2.3 > 8.7

number line with an open circle plotted at negative eight and arrow pointing right
number line with a closed circle plotted at negative eight and arrow pointing right
number line with an open circle plotted at negative eight and arrow pointing left
number line with a closed circle plotted at negative eight and arrow pointing left

Answers

The solution of the inequality:

-8 > b

And the graph can be seen below.

How to solve the inequality?

Here we start with the inequality:

-0.8*b + 2.3 > 8.7

To solve this we need to isolate the variable b.

Let's do that in the right side:

-8.7 + 2.3 > 0.8*b

-6.4 > 0.8*b

-6.4/0.8 > b

-8 > b

So b is smaller than -8. then the correct graph is:

"number line with an open circle plotted at negative eight and arrow pointing left"

.

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Given the inequality 4(n-5) <3(n + 11), determine which integer makes the inequality false.
S:{4}
S:{11}
S:{53}
S:{-8}​

Answers

The integer n = 53 will make the inequality 4(n - 5) < 3(n + 11) false

Inequality

In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

In this expression, we can solve and find what makes it's true and take the odd one out.

4(n - 5) < 3(n + 11)

4n - 20 < 3n + 33

n < 53

From the options given, the value of n that will make the inequality true is less than 53 and that makes the integer 53 to be false.

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Suppose the cost per ton y to build an oil platform of x thousand tons is approximately by:What is the cost per ton for x=300?

Answers

The cost per ton of x = 300 is 318.18

To solve this, we need to reaplce x in the function:

[tex]\begin{gathered} \begin{cases}f(x)=\frac{262,500}{x+525} \\ x=300\end{cases} \\ f(300)=\frac{262,500}{300+525}=\frac{262,500}{825} \\ f(300)\approx318.18 \end{gathered}[/tex]

And then we get the anser

Identify the maximum or minimum point from the graph:f(x)=|x-3|Answer as an ordered pair (x,y)

Answers

we have

f(x)=|x-3|

the vertex of the function is the point (3,0)

the function has a minimum

the vertex is the minimum

so the answer is

the minimum is the point (3,0)

1. How many total engineers liked science 2. Which type of engineer was surveyed the most 3. P(mechanical engineer)4. P(engineer who liked math)5. P(engineer who liked science or is a chemical engineer)6. P(electrical or chemical engineer)7. P(mechanical engineer who liked science)8. P(engineer who liked math and is an electrical engineer)Answer the following problems about two way frequency tables fill in the missing cells of each table make sure to reduce your fraction.

Answers

Step 1; Complete the table

1. The number of engineers that like science are 266

2. The engineer surveyed the most is Electrical Engineers

3. Pr(mechanical Engineer) is

[tex]\begin{gathered} \frac{total\text{ number of mechanical engin}er}{\text{total}} \\ \text{Total number pf mechanical engine}er\text{ =170} \\ \text{Total =516} \\ =\frac{170}{516} \\ =0.33 \end{gathered}[/tex]

4. Pr(engineer who liked maths ) is

[tex]\frac{Total\text{ number of engin}er\text{ who liked maths }}{ground\text{ total}}=\frac{254}{516}=0.49[/tex]

5. Pr( Engineer who like science or is a chemical engineer) is

Let Pr(engineer like science)=E and Pr(a chemical engineer)=S

The Pr( Engineer who like science or is a chemical engineer) is given as

[tex]\begin{gathered} Pr(E)+Pr(S)-Pr(\text{EnS)} \\ \text{where Pr(E)=}\frac{262}{516},\text{ Pr(S)=}\frac{171}{516},\text{ Pr(EnS)=}\frac{91}{516} \end{gathered}[/tex]

Hence, we have

[tex]\begin{gathered} \frac{262}{516}+\frac{171}{516}-\frac{91}{516} \\ =\frac{262+171-91}{516}=\frac{342}{516}=0.66 \end{gathered}[/tex]

6. Pr( Electrical or chemical) is

[tex]\begin{gathered} Pr(\text{Electrical) +Pr(chemical)} \\ Pr(\text{electrical)}=\frac{175}{516},\text{ Pr(chemical)}=\frac{171}{516} \\ \text{hence,} \\ \frac{175}{516}+\frac{171}{516}=\frac{346}{516}=0.67 \\ \end{gathered}[/tex]

7. Pr(Mechanical engineer who liked science) is given as

[tex]\begin{gathered} Pr(M|S)=\frac{Pr(MnS)}{Pr(S)} \\ Pr(MnS)=\frac{81}{516},\text{ Pr(S)=}\frac{262}{516} \\ Pr(M|S)=\frac{81}{516}\times\frac{516}{262}=\frac{81}{262}=0.31 \end{gathered}[/tex]

8. Pr(an engineer who liked maths and is an electrical engineer)

[tex]\frac{85}{175}=0.49[/tex]

the school cafeteria orders for cartons of regular milk for every three cartons of chocolate milk a. complete the bar diagram to show the ratio b. the school ordered 120 cartons of regular milk. Divide 120 cartons of regular milk by underscore_because there are__boxes in the top row c.write the value of each box in both rows of the bar diagram d.how many cartons of chocolate milk did the school order?

Answers

1) Gathering the data

a) Since each Regular milk has four cartons and chocolate 3. If we multiply by 30 we get 120 for Regular Milk and 90 for Chocolate Milk

Regular Milk 4

Chocolate Milk: 3

Regular Milk: 120

Chocolate Milk: 90

The ratio is 4/3, 4 cartons of regular milk for every 3 cartons of chocolate milk.

b) Divide the 120 cartons by 30 because there are 4 boxes in the top row

c) write the value of each box in both rows of the bar diagram

d) According to the bar graph the School ordered 90 cartons of chocolate milk

Question 3(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
In AJKL, mZJ = 67° and mL = 90°. Determine the measure of the exterior angle to ZK.
23°
113°
O 157°
O 78.5°

Answers

By applying the exterior angle theorem, the measure of the exterior angle to angle ZK in triangle JKL is equal to 157°

What is the exterior angle theorem?

In Mathematics, the exterior angle theorem can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle.

How to determine the value of angle ZK?

In order to determine the value of ∠G in triangle JKL (ΔJKL), we would have to apply exterior angle theorem. Mathematically, the exterior angle theorem can be used to model the angles in triangle JKL (ΔJKL) and this is given by:

m<G = m<ZJ + m<L

Substituting the given parameters into the formula above, we have;

m<ZK = 67° + 90°.

m<ZK = 157°.

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Cuatro pintores tardan 6,3 horas en pintar un almacén. Se decide contratar a 9 pintores.
a) ¿Cuánto tardarán en pintar el almacén? Expresa el resultado en formato de horas y minutos. (Como por ejemplo: 3 horas 15 minutos.)
b) ¿Cuánto hay que pagar en total por el trabajo a los nueve pintores si cada pintor cobra 8,5 euros por hora trabajada?

Answers

By using unitary method, it is obtained that

a)  9 painters took 2hours 48 minutes to paint a ware house

b)  9 painters earns 214.2 euros by working 2.8 hours

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, unitary method is used

a) Four painters took  6.3 hours to paint a ware house

    1 painter take [tex]6.3 \times 4[/tex] hours to paint a ware house

    9 painters took [tex]\frac{6.3 \times 4}{9}[/tex] hours to paint a ware house

    9 painters took 2.8 hours to paint a ware house

    9 painters took 2hour + [tex]0.8 \times 60[/tex] minutes to paint a ware house

    9 painters took 2hours 48 minutes to paint a ware house

b) Each painter earns 8.5 euros per hour worked

   Each painter earns 8.5 [tex]\times[/tex] 2.8 euros by working 2.8 hours

   9 painters earns 8.5 [tex]\times[/tex] 2.8 [tex]\times[/tex] 9 euros by working 2.8 hours

    9 painters earns 214.2 euros by working 2.8 hours

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What is an equation of the line that passes through the point (2,-5)(2,−5) and is parallel to the line x-2y=16x−2y=16?

Answers

The slope intercept form of the required line is x -2y = 12

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

The given line is

[tex]x - 2y = 16\\2y = x - 16\\y = \frac{1}{2}x - \frac{16}{2}\\[/tex]

Slope of the line = [tex]\frac{1}{2}[/tex]

Slope of the line parallel to this line = [tex]\frac{1}{2}[/tex]

The line passes through (2, -5).

Equation of the required line-

[tex]y - (-5)= \frac{1}{2}(x - 2)\\2y + 10 = x - 2\\ x - 2y = 10 + 2\\x-2y = 12[/tex]

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Question 7After Anishing his workout,Justin's heart rate decreased 3beats per minute for each of thenext 4 minutes. What was thechange in Justin's heart rateafter 4 minutes?

Answers

Justin"s heart rate decreased 3 beats per minute for each of next 4 minutes

Let his heart rate be be 1

For the first minutes

1 minute his heart rate was 1 - 3 = -2

This is because the heart rate is decreasing 3 beats per minutes

2minutes later, his heart beat will be -2 -3

-2 - 3 = -5

3 minutes later, his heart beat will be -5 - 3

-5 - 3 = -8

4 minutes later, -8 - 3

-8 - 3 = -11

Change = Final heart beat - initial heart beat / initial heart beat

Change = -11 -2 / -2

Change = -13/-2

Change = 13/2

= 6.5

Question 1 Which expression is equivalent to r-1.y? a Ob y? Ос ty-2 Od xy2

Answers

Step 1

State a law of indices that can be used to simplify the problem

[tex]\begin{gathered} a^{-1\text{ }}=\frac{1}{a^{-1}} \\ \end{gathered}[/tex]

Step 2

Apply this to the question and get the solution

[tex]\begin{gathered} x^{-1\text{ }}=\text{ }\frac{1}{x} \\ \text{Hence} \\ \frac{1}{x}.y^2^{} \\ =\frac{y^2}{x} \end{gathered}[/tex]

Hence option B

What did you like most about CodeMonkey?

Answers

The thing that I like most about CodeMonkey is that it makes it easier for children to learn computer coding and that it also boost their intelligence.

What is the advantage of using CodeMonkey?

CodeMonkey is a computer coding educational environment that teaches beginners computer programming concepts and languages. CodeMonkey is designed for students aged 6 to 14.

Students who use critical thinking, problem solving, reasoning, logic, computational, and algorithmic thinking perform better in class. Because these abilities carry over into their daily learning, the skills they develop integrate with core subjects.

Computer programming is the process of carrying out a specific computation, typically by designing and constructing an executable computer program. Programming tasks include analysis, algorithm generation, algorithm accuracy, and resource consumption profiling, and algorithm implementation.

CodeMonkey is a fantastic learning tool for people of all ages! The courses cover the entire curriculum for grades K-8. It is best to start teaching code at a young age. Anyone can learn to code, and it can be enjoyable.

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One popular smoothie recipe uses 2/3 oz of acai juice to make one smoothie. Acai juice typically comes in a 5-oz container, and you want to know how many smoothies can be made from one container. (Write both a multiplication equation and division equation that represents this scenario) (Determine the number of smoothies can be made from one oz of acai)

Answers

You can make one and a half smoothies from one oz of acai juice

How to write multiplication equation and division equation?

Given that:

smoothie recipe uses 2/3 oz of acai juice to make one smoothie and

Acai juice comes in a 5-oz container

In order to know how many smoothies can be made from one container, you divide the volume of the Acai juice container by the volume needed to make one smoothie. Thus the equation is:

No. of smoothies = volume of container/volume needed for one smoothie

The number of smoothies that can be made from one oz of acai is:

No. of smoothie = 1/(2/3) =  1 1/2 smoothies

Therefore, the number that can be made from one oz is one and half smoothies

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On a snow day, Robert created two snowmen in his backyard. Snowman A was built to a height of 33 inches and Snowman B was built to a height of 45 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 6 inches per hour and Snowman B's height decreased by 9 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Graph each function and determine which Snowman is taller after 3 hours.

Answers

Answer: Snowman B is taller than snowman A.

Step-by-step explanation:
Multiply 6 by three to see the amount of decrease in snowman A. Then, multiply 9 by three to see the amount of decrease in snowman B. Then subtract the 6 x 3 by 33. (33-(6x3) = the height of snowman A. Now, time for snowman B, subtract 45 by the
9 x3. 45- (9 x 3). Compare you answer and you'll see who is taller after the three hours.

Your welcome

A recipe calls for 5 teaspoons of orange juice. A can of orange juice is 21 fluid ounces. How many teaspoons of juice is in the can?

Answers

Answer:

21 fluid ounces = 126 teaspoons

Step-by-step explanation:

1 teaspoons is 0.166667 fluid ounces

Now we just have to think 0.166667 * x = 21

21 ounces = 126 teaspoons

Hope this helped :)

Answer: the can contains 126 teaspoons in the can of range juice.

Step-by-step explanation:

given,

no. of teaspoons of orange juice is the call= 5 teaspoons

ounces in the orange juice can= 21 fluid ounces

if 1 ounce = 6 teaspoons

then, 21 ounces= 126 teaspoons.

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Jayson reads the first 48 pages of a 480-page book in 3 days. marcus reads the first 50 pages of a 400-page book in 4 days. nina reads the first 120 pages of a 600-page book in 5 days. check your work on zearn. 1. if they continue to read at these rates, who will finish first? will finish the book first. 2. how many days will each student take to finish his or her book? it will take jayson days to finish his book. it will take marcus days to finish his book. it will take nina days to finish her book.

Answers

Nina will take the shortest time finishing her book.

What is division ?

Division is the opposite of multiplication. If you divide 12 into three equally sized groups, you will get four in each group if the three groups of four sum up to 12, which they do when you multiply. The main goal of division is to count the total number of evenly distributed groups or the total number of people in each group following a fair distribution.

Calculation

Let's calculate how many pages each person reads in one day:

Jayson ⇒ 48 pages / 3 days = 16 pages/dayMarcus ⇒ 50 pages / 4 days = 12.5 pages/dayNina ⇒ 120 pages / 5 days = 24 pages/day

Then we divide the number of pages of each book by reading speed of the respective person:

Jayson ⇒ 480 pages ÷ 16 pages/day = 30 daysMarcus ⇒ 400 pages ÷ 12.5 pages/day = 32 daysNina ⇒ 600 pages ÷ 24 pages/day = 25 days

Thus Nina will take the shortest time finishing her book.

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One thermos of hot chocolate uses 2/3 cup of cocoa powder. How many thermoses can nalli make with 3 cups of cocoa powder? solve the equation -8y + 8 = 37y - 7 during ______, dna serves as a template to assemble a strand of rna. a. transcription b. translation c. dna transfer d. transcriptional modifications e. replication Use diagram to find the following 1. m angle RVS = 2. M angle TVU = A block has a velocity of 6 m/s to the East and 360 J of kinetic energy. The block is pushed West with a 30 N external force, while the block moves 3 m East. How much work is done by the force? In ACDE, mZC = (4x 16), m D = (6x - 1)", and mZE = (4x - 13). Find mZC. What is one advantage of a trade school education?A. Statistically, your lifetime earnings will be higher than a collegegraduate's.B. You will have a greater selection of electives.C. It is less costly than attending a four-year college.D. You can postpone getting a job longer. when a compact disk with a 12.0 in diameter is rotating at 34.6 rad/s, what are (a) the linear speed, and (b) the centripetal acceleration of a point on its outer rim? ACTIVE VOICE TO PASSIVE VOICEActive1. I clean my bedroomPassive1._______________________ The board of directors of a company must have select a president, a secretary and a treasurer in how many possible ways can this be accomplished if there are 22 members on the board What is the measurement of DC? How do you know ? Construct a 95% confidence interval of the population proportion using the given information x=180, n = 300 the lower bound is the upper bound isRound to three decimal places as needed In NOP, PNOP and m2O = 32. Find m P. the new products division of testar company, had operating income of $9,100,000 and operating assets of $45,900,000 during the current year. the new products division has developed a potential new product that would require $9,600,000 in operating assets and would be expected to provide $2,500,000 in operating income each year. testar has set a target return on investment (roi) of 20% for each of its divisions. assuming that the new product is put into production, calculate the residual income for the division. Suppose Maya multiplied 9368x68754323 cubes. Then she divided the awnser by 9 and turned the Answer Into a fraction and multiplied that by 38And then split that awnser into 6 equal groups. How many cubes would she put in each group? On this problem, the answer has been worked out, but you must fill in the blanks in the solution.A study of carbon monoxide deaths showed that a random sample of 6 recent years had a standard deviation of 4.1 deaths per year. Find the 99% confidence interval of the variance and the standard deviation. Round answers to the nearest tenth (one digit after the decimal point).Solution: We are finding confidence intervals for the variance and standard deviation, so we use the formulas 1. If 2 measures 120, what is the measure of 1? Explain how you found the measure of 1.2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are 1 and 5?3. Use the relationship between 1 and 5 to decide whether the top and middle shelves are parallel.(Needs exterior angles)4. Is the bottom shelf parallel to the top shelf? Explain.5. Is the bottom shelf parallel to the middle shelf? Explain. Find -7/8 - 2 1/6. Write your answer as a mixed number in simplest form. What is the sum of 7/8 and 11/8 Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities. Snowfall Summary 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 Number of inches (a) What was the least amount of snowfall in any of the cities? (b) In which quarter is the data most concentrated? Explain how you know. (c) In which quarter is the data most spread out? Explain how you know.