the best graph to use for nominal or ordinal data is

Answer:

The only answer is 46.3. I'm not sure whether or not you mixed up one of the decimals, but this is the only answer out of the others.

I hope this helps.

The number 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸. As a result, option A is right and the other choices are false.

A fraction is a number that, when stated mathematically, designates a component of a whole. A fraction is a portion or division of any whole, which could be any number, a specific sum, or an actual object.

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

There are several types of fractions, some of them are :

According to the question,

(6.945 × 10¹⁰) / (1.5 × 10⁸)

= 463

Hence, it is concluded that 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸.

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x=256

[tex] {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} [/tex]

Answer: 12.9

Step-by-step explanation:

5 x 3 x 2= 30

5 x 3= 15

15 x 2= 30

D= M/V -> Try to remember the DMV

387 / 30= 12.9

30 x 10= 300

30 x 2= 60

30 x 1= 30

30 x .9= 27

10 + 2 + .9= 12.9

300 + 60 + 27= 387

Answer: 58 degrees

Step-by-step explanation:

a+b=90  ==> angles a and b are on a right angle which measures 90 degrees.

32+b=90

b=58 degrees

There are 5548 students majoring in computer science.

This problem is related to percentage we have to calculate the number of students with the percentage given. After multiplying the percent given to the total number of students we will get the required number of students.

Given that the total number of students in the university class is =7600

Also 73% of students are majoring in computer science.

Number of students majoring in computer science is = (73/100) of 7600

                                                                                   = 73×76

                                                                                   = 5548 students

So, the total number of students majoring in computer science is 5548.

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Answer:

A

Step-by-step explanation:

12.5% is 4 of 32. Devide 4 by 32 you get the 0125

Answer:

A 12.5%

Step-by-step explanation:

let p be the percentage that 4 represents.

[tex]32\longrightarrow 100 \%\\4 \longrightarrow \text{p} \%[/tex]

Then

[tex]p=\frac{4}{32} \times 100[/tex]

  [tex]= 0.125 \times 100[/tex]

  [tex]=12.5[/tex]

By using a linear equation, we can see that after the 19 day the population will be less than 1000 mold spores.

We know that the population decays at a rate of 30 spores per day, and we have an initial population of 1560 mold spores.

Then, the population of spores after x days is given by the linear equation:

P(x) = 1560 - 30*x

The population will be exactly 1000 spores when:

P(x) = 1000 =  1560 - 30*x

We need to solve that for x.

30x = 1560 - 1000 = 560

x = 560/30 = 18.67

So after 18.67 days the population is 1000, this means that after the 19 day the population will be less than 1000 mold spores.

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The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]

Given that a = 2i-3j +4k and b = 2i+4k

To find Projection,

Projection of "x" on "Y"=(X vector).(Y unit vecot)

Projection of "a" along "b" =  (a vector).(b unit vector)

Projection of "a" along "b" = ( 2i-3j +4k).([tex]\frac{2i+4k}{\sqrt{29} }[/tex])

Projection of "a" along "b" =[tex]\frac{4+16}{\sqrt{20} }[/tex]

Projection of "a" along "b" =[tex]\frac{20}{\sqrt{20} }[/tex]

Projection of "a" along "b" =[tex]\sqrt{20}[/tex]

Projection of "b" along "a" =  (b vector).(a unit vector)

Projection of "b" along "a" = ( 2i+4k).([tex]\frac{2i-3j +4k}{\sqrt{29} }[/tex])

Projection of "b" along "a" = [tex]\frac{20}{\sqrt{29} }[/tex]

Therefore,The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]

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Answer:

15, 16 and 17

Step-by-step explanation:

Consecutive numbers mean numbers that are separated by 1 from each other. For example 5, 6 and 7 are three consecutive numbers and 5 is the smallest

Let the smallest number be x
Then the next consecutive number is x + 1  
The next one after that is x + 2

Sum = x + x + 1 + x + 2 = x + x + x + 1 + 2 = 3x + 3

We are told that this sum is 33 more than the smallest number x

So 3x+3 = x + 33 Subtract x from both sides
3x - x + 3 = x + 33 -x
==>  2x + 3 = 33

Subtract 3 from both sides
==> 2x + 3 - 3 = 33 -3
==> 2x = 30
Divide both sides by 2

==> 2x/2 = 30/2
==> x = 15

So the smallest number is 15 and the three numbers are 15, 16 and 17

Verify by adding 15+16 +17 = 48
15 + 33 = 48 so consistent

A: The three consecutive numbers are 15, 16, 17.

Explanation:

Let x, y, z be the numbers.

x + y + z = x + 33

y = x + 1

z = x + 2

We will solve this system of equations using the substitution method.

x + x + 1 + x + 2 = x + 33

x + x + x - x = 33 - 1 - 2

2x = 30

x = 15

y = 15 + 1 = 16

z = 15 + 2 = 17

Solving for x + y + z = x + 33:

15 + 16 + 17 = 15 + 33

48 = 48

A: 15, 16, 17.

Answer:

126

Step-by-step explanation:

A number is divisible by 3 if its sum of digits is divisible by 3 (you can do it over and over again until it's one digit!).

A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8.

A number is divisible by 6 if it is divisible by 2 and by 3.

A number is divisible by 9 if its sum of digits is divisible by 9 (you can do it over and over again until it's one digit!).

So we need a number with last digit 0, 2, 4, 6, or 8 (because it's divisible by 6 hence by 2) and with a sum of digits divisible by 9 (because if it's divisible by 9 it's also divisible by 3).

130 is not divisible by 9, so the first digits must be 12X.

to get a number divisible by 9, we need to add a digit D so that 1+2+D is divisible by 9.

9 - 1 - 2 = 6

126 is divisible by 9 because it's sum of digits is 9. It's also divisible by 6, because it is divisible by 3 and its last digit is 6.

Answer:

that's like 77% off if im reading this right

Step-by-step explanation:

The mixed number as an improper fraction is 37/8

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

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Find the critical points of [tex]f_1[/tex] and [tex]f_2[/tex].

By the fundamental theorem of calculus,

[tex]{f_1}'(x) = \displaystyle \prod_{j=1}^{21} (x-j)^j = (x-1) (x-2)^2 (x-3)^3 \cdots (x-21)^{21}[/tex]

and [tex]{f_1}'=0[/tex] for [tex]x\in\{1,2,3,\ldots,21\}[/tex]. The stationary points at odd values have odd multiplicity, while the even ones have even multiplicity. At the points of odd multiplicity, [tex]{f_1}'[/tex] passes through the [tex]x[/tex]-axis and the sign of [tex]{f_1}'[/tex] changes, while at the points of even multiplicity, [tex]{f_1}'[/tex] is tangent the to [tex]x[/tex]-axis. We also have

[tex]\displaystyle \lim_{x\to-\infty} {f_1}'(x) = (-1)^{1+3+5+\cdots+21} \infty = (-1)^{11^2} \infty = -\infty[/tex]

[tex]\displaystyle \lim_{x\to\infty} {f_1}'(x) = \infty[/tex]

so the plot of [tex]{f_1}'[/tex] looks more or less like the attached curve. (Not drawn to scale)

Wherever the sign of [tex]{f_1}'[/tex] changes from negative to positive, as it does in the case of [tex]x\in\{1,5,9,13,17,21\}[/tex], there is a local minimum, so [tex]m_1 = 6[/tex]. Similarly, wherever the sign changes from negative to positive, as it does when [tex]x\in\{3,7,11,15,19\}[/tex], there is a local maximum, so [tex]n_1 = 5[/tex].

Repeat for [tex]f_2[/tex].

[tex]{f_2}'(x) = 4900 (x-1)^{49} - 29400 (x-1)^{48} = 4900 (x-1)^{48} (x-7)[/tex]

has roots at [tex]x=1[/tex] and [tex]x=7[/tex], but only the latter is a critical point due to odd multiplicity. A rough sketch of the plot of [tex]{f_2}'[/tex] is also attached. The sign of [tex]{f_2}'[/tex] changes from negative to positive at [tex]x=7[/tex], so [tex]m_2 = 1[/tex] and [tex]n_2=0[/tex].

We conclude that

Q.9) [tex]2m_1+3n_1+m_1n_1 = \boxed{57}[/tex]

Q.10) [tex]6m_2+4n_2+8m_2n_2 = \boxed{6}[/tex]

They will weigh the same at twenty-five months.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Let the number of months when they will weigh the same would be m

Given that Bill is losing two pounds per month and is currently 240 pounds.

So his model expression of weight would be: 240 - 2m

And Bill is losing four pounds per month and is currently 290 pounds.

So his model expression of weight would be: 290 - 4m

As per the condition, they will weigh the same

⇒ 240 - 2m = 290 - 4m

⇒ 4m - 2m = 290 - 240

⇒ 2m = 50

⇒ m = 25

Therefore, they will weigh the same at twenty-five months.

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Answer:

3.4

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

Steps

1. Isolate the variable subtract 4.25 since it's positive.

4.25 - 1.25x = 0

- 4.25 - 4.25

- 1.25x = - 4.25

2. Divide by - 1.25 in both sides of equation.

- 1.25x = - 4.25

--------- ---------- <------- fraction bar/ divide

-1.25 -1.25

x = 3.4

Check:

4.25 - 1.25 (3.4) = 0

4.25 - 4.25 = 0

0 = 0

True statement.

Answer:

He can buy 2 full sets

Step-by-step explanation:

$25 divided by $9 per set is 2.8 sets.  Assuming sets are only sold as whole packages that would be 2 full sets.

Answer:

The answer to your problem is -1/3

Step-by-step explanation:

Let me know if you need the steps. Thanks

Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

From the sum of the columns:

From the diagonals:

The system is composed by all these equations.

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D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

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The square root of 58 is around 7.6

The entire number is, 7.61577310586...

1) The angular speed is approximately 12.566 radians per second.  

2) The linear speed of a point on the edge of the disk is 1.257 meters per second.

1) Herein we have a disk that spins at constant angular speed (ω), in radians per second, whose magnitude is found dimensional analysis and unit conversions:

ω = 120 rev / min × (2π rad / 1 rev) × (1 min / 60 s)

ω ≈ 12.566 rad / s

The angular speed is approximately 12.566 radians per second.  

2) The linear speed (v), in meters per second, on the edge of the disk is described by the following formula:

v = R · ω  

Where R is the radius of the spinning disk, in meters.

If we know that R = 0.1 m and ω ≈ 12.566 rad / s, then the linear speed is:

v = (0.1 m) · (12.566 rad / s)

v = 1.257 m / s

The linear speed of a point on the edge of the disk is 1.257 meters per second.

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false is the answer of that Q

Answer:

X represents 32

Step-by-step explanation:

Bc x plus 30 = 62 - 30 equals 32 0-0

Answer:

1st=5, 2nd=10, 3rd=25

Step-by-step explanation:

We can make an equation to figure out the lengths of all 3 peices:

1st piece is represented as x

2nd piece is twice as long as the first, so 2x will represent that.

3rd piece is 5 times as long as the first, so 5x will represent that

together that is x+2x+5x=40

you can then simplify that to be 8x=40

40/8=5 so x=5

You then plug 5 in as x to figure out the lengths of the other pieces

1st=

5

2nd=2(5)

10

3rd=5(5)

25

:D

Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.

Answer:

Mary drew 66 buildings and Tess drew 33 buildings.

Step-by-step explanation:

Let's label the number of buildings drawn by Mary as x and the number of buildings drawn by Tess as y.

We know there are 99 buildings drawn. This means

99=x+y

We also know that Mary drew twice as many buildings as Tess. We can represent this as

x=2y

Now, let's substitute x for 2y, since that would put us in common terms

99=2y+y

Add common variables together and you get

99=3y

Solve for y by dividing 99 by 3

y=33

We now know that Tess drew 33 buildings, as well as y=33. Substitute y in the equation for how many buildings Mary drew:

x=2(33)

Now we know that Mary drew 66 buildings.

To check our work,

99=x+y

99=66+33

99=99

Answer:

If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.

Answer:

the answer is 16 feet

Step-by-step explanation:

The speed of the faster cyclist is 30 mph.

Two cyclists, distance = 90 miles.

let the speed of one cyclist is = x and

let the speed of the other cyclist = 2x

time after which both the cyclists will meet = 3 hours.

Since they are travelling towards each other the effective speed = 2x ₊ x

= 3x

we know that time = distance/speed

3 = 90/3x

3x = 30

x = 10 mph speed of one cyclist.

speed of the other cyclist will be 3x = 3 × 10 = 30 mph

The speed of the fastest cyclist is 30 mph.

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