which two of the following have the same value as 4.032?

Answers

Answer 1

Answer:D

Step-by-step explanation:

It’s D for sure

Answer 2

Answer:

A and D

Step-by-step explanation:

A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002

(These are the options for reference.) -->

We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandths

So, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct

B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.

C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.

D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->

thus, A and D are our answers.

Hope this helps!


Related Questions

Which function represents g(x), a reflection of f(x) =
(10)^x across the x-axis?
g(x) = -2/5(10)^x
g(x) = -2/5(1/10)^x
g(x) =2/5(1/10)^-x
g(x) = 2/5(10)^-x

Answers

Answer:

Option A.

Step-by-step explanation:

Note: The given function should be [tex]f(x)=\dfrac{2}{5}(10)^x[/tex] instead of [tex]f(x)=(10)^x[/tex].

Consider the given function is  

[tex]f(x)=\dfrac{2}{5}(10)^x[/tex]

We need to find the function which represents a reflection of f(x) across the x-axis.

If a function f(x) is reflected across the x-axis, then the new function is

[tex]g(x)=-f(x)[/tex]

Using this rule, we get

[tex]g(x)=-\dfrac{2}{5}(10)^x[/tex]        [tex][\because f(x)=\dfrac{2}{5}(10)^x][/tex]

Therefore, the correct option is A.

What is the height of the cone below?

Answers

27inches
First, find the area of the base. (Area = pi r-squared)
5=3.14 r-squared
5/3.14=r-squared
1.59=r-squared
R=1.26
Then use the radius to find the height. (V=pi r-squared h/3)
45=3.14x1.26x1.26x h/3
9=h/3
9x3=h
H=27

HELP PLEASE !!!2. Solve for x in the figure below. Show your work.

Answers

3x + 11 + 22 = 90
3x = 57
X = 19

Answer:

×=19

Step-by-step explanation:

90-22=68

3x+11=68

68-11=57

3x=57

57÷3=19

x=19

Find the x-intercepts of the graph y = StartFraction 2 Over x squared EndFraction?


a.
(2, 0) and (-2,0)
c.
There are no x-intercepts
b.
(-1,0) and (1, 0)
d.
x-intercept is (3, 0)

Answers

Answer:

The answer is option c.

There are no x-intercepts

Hope this helps

Can someone help me solve this?

Answers

Answer:

(a) y = -3/5 x + 13/5

(b) y = 5/3 x + 1/3

Step-by-step explanation:

(a) The slope of the tangent line is dy/dx.  Use implicit differentiation:

x² + y² + 4x + 6y − 21 = 0

2x + 2y dy/dx + 4 + 6 dy/x = 0

2x + 4 + (2y + 6) dy/dx = 0

x + 2 + (y + 3) dy/dx = 0

(y + 3) dy/dx = -(x + 2)

dy/dx = -(x + 2) / (y + 3)

At the point (1, 2), the slope is:

dy/dx = -(1 + 2) / (2 + 3)

dy/dx = -3/5

Using point-slope form of a line:

y − 2 = -3/5 (x − 1)

Simplifying to slope-intercept form:

y − 2 = -3/5 x + 3/5

y = -3/5 x + 13/5

(b) The normal line is perpendicular to the tangent line, so its slope is 5/3.  It also passes through the point (1, 2), so point-slope form of the line is:

y − 2 = 5/3 (x − 1)

Simplifying to slope-intercept form:

y − 2 = 5/3 x − 5/3

y = 5/3 x + 1/3

PLEASE HELP!!!! I'M STUCK The graph shows two lines, A and B. A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6. Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points) Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Answer:

A: There is only one solution since the two lines meet up. If it was parallel or the two lines where on top of each other there would be either an infinite amount of solutions or zero.

B:(3,5)

Step-by-step explanation:

Find the area of the shaded polygons: all of them not one

Answers

Answer:

6 sq units, 4 sq units, 6 sq units

Step-by-step explanation:

Method:

count dots inside ...(a)

the ones on the border of the polygon and divide by two ...(b)

(a)+(b)-1 = area

use this method for the red, green, and yellow polygons.

Red:

(a): 2

(b): 10/2 = 5

2+5-1 = 6 sq units

Green:

(a): 0

(b): 10/2 = 5

0+5-1 = 4 sq units

Yellow:

(a): 3

(b): 8/2 = 4

3+4-1 = 6 sq units

I hope this helps, and plz mark me brainliest!!!!


Find the area ratio of a cube with volume 125m3 to a cube with volume 64m3.

Answers

Answer:

25:16

Step-by-step explanation:

i think its right

Factorise
(a + c)2- 62

AWARDING BRANLIEST FOR FIRST CORRECT ANSWER

Answers

See answer below! Hope this this helps

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5. Pls help ASAP btw, the answer isn't -12/19 or 12/19

Answers

Answer:

The found values are:

A = 1/3

B = -8/3

Step-by-step explanation:

We know that general equation is given by:

y = mx + c

where m is the slope and c is a constant.

x + 3y = -5

y = -(1/3)x - 1/3(5)

Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:

Ax + By = 3

By = -Ax - 3

By = (1/3)x - 3

Hence, A = 1/3

Substitute point (-7,2) into the equation:

B(2) = (1/3)(-7) -3

B(2) = -7/3 - 3

B(2) = -16/3

B = -16/6

B = -8/3

Imagine you have a very long belt. Well, extremely long, really … in fact, it’s just long enough that it can wrap snugly around the circumference of our entire planet. (For the sake of simplicity, let’s suppose Earth is perfectly round, with no mountains, oceans, or other barriers in the way of the belt.) Naturally, you’re very proud of your belt. But then your brother, Peter, shows up—and to your disgruntlement, he produces a belt that’s just a bit longer than yours. He brags his belt is longer by exactly his height: 6 feet. If Peter were also to wrap his belt around the circumference of Earth, how far above the surface could he suspend the belt if he pulled it tautly and uniformly?

Answers

Answer:

H = 0.95 feet

Step-by-step explanation:

The circumference of Earth = 2πR

My belt = 2πR    (Where R is the radius of the Earth)

Peter's belt = 2πR+6

We have to find the Height "h" so the radius of the circle for Peter's belt becomes R+h So the expression becomes 2π(R+h)

But we already know,

Peter's belt = 2πR+6

So,

2πR+6 = 2π(R+H)

2πR + 6 = 2πR + 2πH

Subtracting 2πR to both sides

=> 6 = 2πH

OR

=> H = 6/2π

=> H = 3/π

Where π = 3.14

=> H = 0.95 feet

Answer: 0.00016 miles

Step-by-step explanation:

According to Google, the circumference of the Earth is 24,901.461 miles. Using the formula 2*pi*r = circumference, the radius of your belt is around 3963.19061 miles. Now, 6 feet is 0.001 miles. So his belt is 24,901.461+0.001 = 24,901.462 miles. Use 2*pi*r to get 3963.19077 miles, a full 0.00016 miles above the surface!

five sixths of a number equals 4,375. What is the number

Answers

Answer:

The number is 5250

Step-by-step explanation:

5/6 * x = 4375

Multiply each side by 6/5 to isolate x

6/5 * 5/6 x = 4375 * 6/5

x =5250

Answer:

5250

Step-by-step explanation:

5/6x= 4375

x= 4375*6/5

x= 5250

please help me and hurry

Answers

Answer:

median: 90

mode: 91

mean: 84.2 or round it to 84

Step-by-step explanation:

Let me know if this helps! have a great day! :)

Answer:

a) Median = 91

b) mode = 91

c)Mean 84.2

Step-by-step explanation:

a) Median is the middle term. So, 6th term

Median = 91

b) Mode is the score which occurs more number of times

91 occurs 3 times

Mode = 91

c) Mean= sum of all data's/Number of data's

            = 85 + 91 + 48 +98 + 99 /5

            = 421/5

  Mean = 84.2

The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples

from 29 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined

sample to test positive? Note that the combined sample tests positive if at least one person has the virus.

The probability that the combined sample will test positive is

(Round to three decimal places as needed.)

Answers

Answer:

The probability that the combined sample tests positive  for the virus is 0.083

Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined  sample to test positive.

The probability that the combined sample will test positive is 0.083

Step-by-step explanation:

Given that:

The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.

P = 0.003

number of blood sample size n = 29

The probability mass function of X is as follows;

[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]

Thus; the required probability is;

[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]

[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]

[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]

[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]

[tex]P(X \geq 1) = 1 - 0.9166[/tex]

[tex]P(X \geq 1) = 0.0834[/tex]

Therefore; the probability that the combined sample tests positive  for the virus is 0.083

Is it unlikely for such a combined  sample to test positive?

P(combined  sample test positive  for the virus ) = 0.0834

Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined  sample to test positive.

The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.

P = 0.003

number of blood sample size n = 29

The probability mass function of X is as follows;

[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]

Thus; the required probability is;

[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]

[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]

[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]

[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]

[tex]P(X \geq 1) = 1 - 0.9166[/tex]

[tex]P(X \geq 1) = 0.0834[/tex]

The probability that the combined sample will test positive is 0.083

Help plz with this question. Needed fast. I will mark brainliest.

Answers

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

Answer:

Step-by-step explanation:

 To find the size of YXZ we should use some trigonometry but first let's find the length of YZ

The Pythagorian theorem :

(XZ)²+(ZY)²=(YX)²

YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]

    =4[tex]\sqrt{29}[/tex]

We khow that sin(YXZ)=(YZ)/(YX)                                         = 20/(4[tex]\sqrt{29}[/tex])                                         = 5/[tex]\sqrt{29}[/tex]using a calculator we get (YXZ)=  68°

A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?

Answers

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

The height of the tree will be 30 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Given; A tree casts a shadow 21 m long.

The angle of elevation of the sun is 55°.

Let h be the height of tree.

Then the height of the tree will be;

tan(55) = h/21

21*tan(55)=h

29.99=h

h = 29.99 = 30 feet

Therefore, The height of the tree will be 30 feet.

More about the right-angle triangle link is given below;

brainly.com/question/3770177

#SPJ2

the skateboard Rita would like to buy cost $6 less than three times the amount she has saved the skateboard cost $69 how much does Rita have to save?

Choose the steps that show how to solve this problem using arithmetic. ​

Answers

Answer: Rita has $25 saved.

Step-by-step explanation:

You could think about it this way: $69 is $6 less than 3 times the amount of money that she has. So, let's solve this:

1) First you would add $6 to the $69 that the skateboard costs because you     need to know what her savings would be if she multiplied it by 3.

      $69+$6=$75  

2) Now that we know that if we tripled her savings, we would have $75. We can now find out how much she actually has saved up by dividing the total of $75 by 3.

      $75÷3=$25

I hope this helped you with your question!

Answer:

she saved $25

Step-by-step explanation:

1 Point
Which of the following best describes a random event?
A. The number of doctor visits a person makes in a year
B. The winner of an election
C. The age at which a baby will get her first tooth
D. The age at which a person is legally allowed to drive in the state of
California
SEBNI

Answers

Answer: B

Step-by-step explanation:

Makes the most sense out of all the options because it’s the most random or unpredictable

It’s B, the winner of an election because you cannot predict it compared to the others

Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? Yes or No?

Answers

Answer:

12 rational

Step-by-step explanation:

2√3×√12 =

= 2√3×√2²·3

= 2√3×2√3

= 2×2×√3×√3

= 4×3

= 12

* PLEASE ANSWER TY! *

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

thus the, Equation of circle with centres as (h, k) is given as,

(y-k)^2 + (x-h) ^2 = r^2

where, r is the radius if the circle.

so here, we can see that,

[tex] {r}^{2} = 100 \\ r = 10 \\ [/tex]

thus , we can say that, 2r = d

thus diameter = 20 units

20 units is the answer, anyway not sure why i have to use 20 words

What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5

Answers

Answer:

x = 5, -6

Step-by-step explanation:

Step 1: Write out equation

x² + 2x - 25 = x + 5

Step 2: Move everything to one side

x² + x - 30 = 0

Step 3: Factor

(x - 5)(x + 6) = 0

Step 4: Find roots

x - 5 = 0

x = 5

x + 6 = 0

x = -6

In the diagram, which pair of angles are corresponding angles?

Answers

Answer:

You shoulda showed us the diagram but corresponding angles are the 2 angles on the diagram which are the same, look closely and you could tell which 2 are the same, they also have to be on THE SAME SIDE, right or left

Hope that helps!

Step-by-step explanation:

Answer:

C, Angle 3 and Angle 7

Step-by-step explanation:

heres the full question


In the diagram, which pair of angles are corresponding angles?

Angle 1 and Angle 8

Angle 4 and Angle 6

Angle 3 and Angle 7

Angle 2 and Angle 4

Based on the graph below, what is a reasonable estimate for the у value when x is 4?

Answers

Y=6
Simply double the y value
Since the line is keeping a constant slope.

Please answer fast ASAPPPP

Answers

Answer:

[tex]\frac{13}{3}[/tex] ÷ [tex](-\frac{5}{6})[/tex]

Step-by-step explanation:

[tex]4\frac{1}{3}/(-\frac{5}{6})=\\\\\frac{13}{3}/(-\frac{5}{6})[/tex]

Answer:

13/3  ÷ - 5/6

Step-by-step explanation:

4 1/3 ÷ - 5/6

Change the mixed number to an improper fraction

4 1/3 = (3*4 +1)/3 = 13/3

13/3  ÷ - 5/6

Why is the slope of line segment AC the same as the slope of line segment DF in the figure below?
A.because AB/EF=BC/DE? ...................................
B.because AB/DE=BC/DF ?...............................
C.because AB=EF ?...............................
D.because BC=DE?............................

Answers

Answer:

The answer would be A. because AB/EF=BC/DE

Step-by-step explanation:

AB = 2

EF = 5

BC = 1

DE = 2.5

2/5 = 0.4

1/2.5 = 0.4

The equation AB/EF=BC/DE is correct. All of the others are not.

The slope of line segment AC the same as the slope of line segment DF in the figure below because AB/EF = BC/DE.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We need to find the proportionality statement for the ratio of the sides of the triangles.

If two triangles are similar, then the corresponding sides are proportional.

ABC ≈ DEF,

Here AB, BC, and AC are corresponding sides of DE, EF, and DF respectively.

Using the definition of similarity we ge

AB = 2

EF = 5

BC = 1

DE = 2.5

2/5 = 0.4

1/2.5 = 0.4

The equation AB/EF = BC/DE is correct. All of the others are not.

Learn more about a triangle;

https://brainly.com/question/7116550

#SPJ2

I need help on these questions pls answer asap 1.) A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel? 2.)The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?

Answers

Answer:

1. The train is will cross the tunnel in 2 minutes.

The train is traveling at 30 km every hour or 60 minutes, so it will move 1 km every 60/30 minutes, or every 2 minutes.

2. Explanation here first: 22 free throws means 22 points and 22 field goals.

184-22=162 points they still needed to get, and

85-22=63 goals they still needed to score

We can now use a system of equations, (where x is 3-point goals, and y is 2-point goals) to solve the problem:

3x+2y=162

x+y=63 (-2)

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

3x+2y=162

-2x-2y= -126

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

x=36, and y=27 so the NBA players got 36 3-point goals, and 27 2-point goals

We can check this:

(36*3) + (27*2) + 22 = 108+54+22 = 184 total points

Step-by-step explanation:

Hope this helps!

10a - 41=19 pls help!!!!!

Answers

Answer:

a = 6

Step-by-step explanation:

10a - 41 = 19

10a = 19 + 41

10a = 60

a = 60/10

a = 6

Answer:

a=  6

Step-by-step explanation:

10a - 41=19

+41         +41

10a = 60

÷10    ÷10

a=  6

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024

Answers

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where, [tex]a_1[/tex] is first term, d is common difference.

Substitute [tex]a_1=24, d=6 \text{ and }n=500[/tex] in the above formula.

[tex]a_{500}=24+(500-1)(6)[/tex]

[tex]a_{500}=24+(499)(6)[/tex]

[tex]a_{500}=24+2994[/tex]

[tex]a_{500}=3018[/tex]

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

Answer:

A is correct

Step-by-step explanation:

Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?​

Answers

Answer:

There are 9 llamas.

Step-by-step explanation:

For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.

As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.

If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.

If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.

We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.

9 ÷ 3 = 3.

This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6,  because she has twice the amount of lambs.

Billy has 2 lambs and 6 llamas.

Milly has 6 lambs and 3 llamas.

The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.

Answer:

Billy: Has 4 lots of animals

Milly: Has 3 lots of animals

17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total

What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equation?
y = -x-1
OA
y =
OB
y =
- + 9
o + 16
1 - 12
Oc.
y =
OD.
y =
+ 19

Answers

Answer:

y = x + 16

Step-by-step explanation:

Step 1: Find slope of perpendicular line

Take the negative reciprocal of the 1st line

m = 1

Step 2: Find b

y = x + b

14 = -2 + b

b = 16

Step 3: Write equation

y = x + 16

Answer:

y = x + 16

Step-by-step explanation:

Given the equation y = -x - 1, we see that the slope (the coefficient of the x term) is -1.  A line perpendicular to this one has a slope which is the negative reciprocal of the given equation:   +1.

Using the point-slope formula for the equation of a straight line, we get:

y - 14 = +1(x + 2), or y - 14 = x + 2, or y = x + 16

Other Questions
Experto/a en la salud. Eres experto/a en la salud y el peridico de la universidad ha pedido que escribas unos consejos para llevar una vida saludable. Completa los consejos con la forma correcta de los verbos entre parntesis. Usa el contexto de la oracin para decidir si debes usar el subjuntivo, el indicativo o el infinitivo. MODELO: Para fortalecer el corazn, sugiero que las personas hagan (hacer) ejercicio cinco veces a la semana. 15) Para fortalecer los msculos, recomiendo que ustedes _____ (levantar) pesas tres veces a la semana. 16) Para fortalecer los pulmones, es bueno que t _______ (correr) treinta minutos, cinco veces a la semana. 17) No se olviden de consultar a un mdico antes de ______ (empezar) un programa de ejercicios. 18) En combinacin con el ejercicio, es necesario que nosotros ______ (comer) una dieta equilibrada. 19) Las personas saludables _______ (controlar) su dieta. 20) Finalmente, insisto en que ustedes ______ (dormir) bien para tener buena salud. Expand to write an equivalent expression: -1/4(-8x+12y) The average position of the polar jet stream, and hence the paths followed by cyclones and anticyclones, migrate ________ with the approach of winter. Please answer this question now Help please! THANK YOU! Mary is searching for an image that will help illustrate the use of the Burn tool for an article. Which of these images can Mary use to represent the before phase most effectively? Are biogeochemical cycles transported by water?? A quadrilateral has angle measures of 120 degrees ,37 degrees and 48 degrees what is the measure of the forth angle One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race? Who would benefit if the exchange rate with yen (in U.S. dollars) increased (i.e. one dollar can buy more yens)? 15. A zoo is building a glass cylindrical tankfor the small sharks. The tank is 10 feethigh and has a diameter of 16 feet. Howmuch water is needed to fill the tank?(The volume of a right circular cylinder isV = Tr?h, where r is the radius, h is theheight, and a = 3.14.) You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased? How many grams of LiNO3 must be added to 25.0 g of water to prepare a 5.00% (m/m) solution of LiNO3? Will give brainliest answer write the coordinate point for the vertex of this parabola x=-1/8y^2 Name 3 ways that African Americans participated in the War Effort (supporting details) help Find (f + g)(x)f(x) = 6x2 + 3x + 1g(x) = 2x2 - 9 Change the following sentence into indirect speech.1. A fairy godmother said, "don't cry crindella". 2. She said, "I don't have a gown to wear for the party. 3. The fairy godmother said," crindella this magic will only last j till midnight. 4. The handsome Prince asked, "Do you want to dance?" 5. The Prince said, "I will find her." 6. The Prince said, "Let her also try on slippers." The climate region labeled with the number one on the map above is __________.A.highlandsB.semiaridC.subarcticD.tundra Verizox Company uses a job order cost system with manufacturing overhead applied to products based on direct labor hours. At the beginning of the most recent year, the company estimated its manufacturing overhead cost at $181,090. Estimated direct labor cost was $481,580 for 19,900 hours.Actual costs for the most recent month are summarized here:Item Description Total CostDirect labor (1,800 hours) $46,361Indirect costs Indirect labor 2,540Indirect materials 3,420Factory rent 3,300Factory supervision 4,730Factory depreciation 5,760Factory janitorial work 1,270Factory insurance 1,890General and administrative salaries 4,240Selling expenses 5,350Required1. Calculate the predetermined overhead rate. (Round your answer to 2 decimal places.)Predetermined Overhead Rate _____ Per DL Hour2. Calculate the amount of applied manufacturing overhead.Applied Overhead Rate _____3. Calculate actual manufacturing overhead costs.Actual Manufacturing Overhead Costs _____4. Compute over- or underapplied overhead.Overhead _____