NEED HELP ASAP!! Trigonometry!! Need to find x

NEED HELP ASAP!! Trigonometry!! Need To Find X

Answers

Answer 1

Answer:

Hey there!

We have tangent x=8/10

This simplifies to tangent x=0.8

Arctan=0.8, x=38.7 degrees.

Let me know if this helps :)

Answer 2

Answer:

38.7

Step-by-step explanation:

You are given the lengths of the legs of the triangle.

The trig ratio that relates the lengths of the legs is the tangent.

tan x = opp/adj

tan x = 8/10

tan x = 0.8

Use the inverse tangent function to find x.

tan^(-1) 0.8 = 38.7 deg

Answer: x = 38.7 deg


Related Questions

Find the particular solution of the differential equation that satisfies the initial condition(s). (Remember to use absolute values where appropriate.) f ''(x) = 4 x2 , f '(1) = 2, f(1) = 5

Answers

Looks like either [tex]f''(x)=4x^2[/tex] or [tex]f''(x)=\frac4{x^2}[/tex]...

In the first case, integrate both sides twice to get

[tex]f''(x)=4x^2\implies f'(x)=\dfrac43x^3+C_1\implies f(x)=\dfrac13x^4+C_1x+C_2[/tex]

Then the initial conditions give

[tex]f'(1)=2\implies 2=\dfrac43\cdot1^3+C_1\implies C_1=\dfrac23[/tex]

[tex]f(1)=5\implies 5=\dfrac13\cdot1^4+C_1\cdot1+C_2\implies C_2=4[/tex]

so that the particular solution is

[tex]f(x)=\dfrac{x^4}3+\dfrac{2x}3+4[/tex]

If instead [tex]f''(x)=\frac4{x^2}[/tex], we have

[tex]f''(x)=\dfrac4{x^2}\implies f'(x)=-\dfrac4x+C_1\implies f(x)=-4\ln|x|+C_1x+C_2[/tex]

[tex]f'(1)=2\implies 2=-\dfrac41+C_1\implies C_1=6[/tex]

[tex]f(1)=5\implies 5=-4\ln|1|+C_1\cdot1+C_2\implies C_2=-1[/tex]

[tex]\implies f(x)=-4\ln|x|+6x-1[/tex]

Reduce 24/64 to its lowest terms.

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

To simplify the fraction [tex]\frac{24}{64}[/tex], we need to find its greatest common factor.

Both 24 and 64 are divisible by 2, but that's not the biggest.

Both 24 and 64 are divisible by 4, but that's not the biggest either.

Both 24 and 64 are divisible by 8, and that's the highest we can go.

So:

[tex]\frac{24\div8}{64\div8} = \frac{3}{8}[/tex].

Hope this helped!

PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.

Answers

Answer:

Step-by-step explanation:

You must multiply the first two equation which is 5x+1 and x this will give you

5x^2 + x. The bold goes in the first box.

Then do the same thing for 2x+1 and x+1 which will give you 2x^2+2x+x+1 or 2x^2+3x+1. This goes in the second box.

In the last box you will add 5x^2 +x and 2x^2 +3x +1, which gives you 7x^2 +4x +1.

Goes in the last box.

Hope this helps you.

PLEASE FAST 40 POINTS

A box contains four tiles, numbered 1,4.5, and 8 as shown.

Kelly randomly chooses one tile, places it back in the box, then chooses a second tile.

What is the probability that the sum of the two chosen tiles is greater than 7?

A. 1/4
B. 5/16
C. 2/3
D. 11/16

Answers

Answer:

[tex]\bold{\dfrac{11}{16}}[/tex]

Step-by-step explanation:

Given four tiles with numbers:

1, 4, 5 and 8

Tile chosen once and then replaced, after that another tile chosen:

All possibilities are:

{(1, 1) ,(1, 4) ,(1, 5) ,(1, 8)

(4, 1) ,(4, 4) ,(4, 5) ,(4, 8)

(5, 1) ,(5, 4) ,(5, 5) ,(5, 8)

(8, 1) ,(8, 4) ,(8, 5) ,(8, 8) }

Total number of possibilities = 16

When the sum is greater than 7, the possibilities are:

{(1, 8)

(4, 4) ,(4, 5) ,(4, 8)

(5, 4) ,(5, 5) ,(5, 8)

(8, 1) ,(8, 4) ,(8, 5) ,(8, 8) }

Number of favorable cases = 11

Formula for probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Hence, the required probability is:

[tex]\Rightarrow \bold{\dfrac{11}{16}}[/tex]

Answer:11/16

Step-by-step explanation:i took the test

9. Find the mean of the following data :
Х
8
10
12
20
16
F
2
3
7
2
5​

Answers

Answer:

[tex] \boxed{13.15}[/tex]

Step-by-step explanation:

( See the attached picture )

Now,

Mean = [tex] \mathsf{\frac{Σfx}{n} }[/tex]

[tex] \mathsf{ = \frac{250}{19} }[/tex]

[tex] \mathsf{ = 13.15}[/tex]

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

In the case of repeated data , follow the steps given below to calculate the mean :

Draw a table with 3 columnsWrite down the items ( x ) in ascending or descending order in the first column and the corresponding frequencies in the second column.Find the product of each item and it's frequency ( fx ) and write in the third column.Find the total of f column and fx column.Divide the sum of fx by the sum of f ( total number of items ) , the quotient is the required mean.

Hope I helped!

Best regards!

please help me guys please find the value of 3x°​

Answers

Answer:

finding the value of x first

2x + 3x + 10 = 180 (linear pair)

5x = 180 - 10

x = 170 / 5

x = 34

3x = 102

A cubical sandbox has a volume of 91.125 cubic inches. What is the side length of the
sandbox?

Answers

Hey there! I'm happy to help!

To find the volume of a cube, you simply cube the side length (multiply it by itself three times). This is because all of the sides of a cube are the same and if you multiply the length by the width by the height it is the same number multiplied by itself three times.

We already know that the volume is 91.125 cubic inches. To find the side length, we simply do the cube root on our calculator, which tells us what number we cube to get 91.125.

∛91.125=4.5

Therefore, the side length of the sandbox is 4.5 inches.

I hope that this helps! Have a wonderful day! :D

The upper-left coordinates on a rectangle are (-1,4), and the upper-right coordinates are (3,4). The rectangle
has a perimeter of 24 units.
Draw the rectangle on the coordinate plane below.

Answers

Answer:

Step-by-step explanation:

Note that the perimeter of a rectangle P = 2(Length + Breadth)

The distance between the upper-left coordinates on a rectangle and the upper-right coordinates is the breadth of the rectangle. To get the breadth of the rectangle, we will use tgw formula for calculating the distance between two points as shown.

D = √(y2-y1)²+(x2-x1)²

Given the coordinates (-1,4) and (3,4), the distance between the coordinates where x1 = -1, y1 = 4, x2 = 3 and y2 = 4 will be expressed as.

B = √(4-4)²+(3-(-1))²

B = √0+4²

B = √16

B = 4

Hence the breadth of the rectangle is 4 units.

Substituting the breadth into the formula for calculating the perimeter will give;

P = 2(L+B)

24 = 2(L+4)

L+4 = 24/2

L+4 =12

L = 12-4

L = 8

Hence the length of the rectangle is 8 units.

The diagram of the rectangle on a coordinate is as given in the attachment below.

The weight of an object on moon is 1/6 of its weight on Earth. If an object weighs 1535 kg on Earth. How much would it weigh on the moon?

Answers

Answer:

255.8

Step-by-step explanation:

first

1/6*1535

=255.8

The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possible values for $a$? LOTS OF POINTS AND BRAINLIEST TO CORRECT ANSWER!

Answers

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

Use the order of operations to simplify this expression 1.2x3.5x4.1= What

Answers

[tex] 1.2\times3.5\times4.1=[(1+0.2)(3+0.5)](4+0.1)[/tex]

$=[1\times3+1\times0.5+0.2\times3+0.2\times0.5](4+0.1)$

$=(3+0.5+0.6+0.1)(4+0.1)$

$=(4.2)(4+0.1)=(4+0.2)(4+0.1)$

$=4\times4+4\times0.1+0.2\times4+0.2\times0.1$

$=16+0.4+0.8+0.02=17.22$

I dont understand how to do this

Answers

Answer:

Put 25 in the box.

Step-by-step explanation:

Apply the exponent rule: (ax)^n = a^n × x^n

So we have:

(5x)^2 = 5^2 × x^2

= 25x^2

Best Regards!

arthur walks 5/8 mi to school jonathan rides a bus 8 times that far> How far does Jonathan ride to school

Answers

Answer:

Step-by-step explanation:

Distance walked by Arthur = 5/8 miles

Distance ride  by Jonathan = 8 times that of Arthur

it means that Distance rode on bus by Jonathan is 8 multiplied by Distance walked by Arthur

Distance rode on bus by Jonathan = 8 * Distance walked by Arthur

Distance rode on bus by Jonathan = 8 * 5/8 = 5 Miles Answer

what must be added to 2/3 of 5.25 to make it 7.00​

Answers

(2/3)(5.25) + x = 7
3.5 + x = 7
x = 3.5

Answer:

3.5

Step-by-step explanation:

Well you have to find first 2/3 of 5.25. This means multiplication, which is 3.5. so to find how much to add to this to get 7, we have to subtract 3.5 from 7. 7-3.5=3.5. so we must add 3.5 to get 7. Hope this helps :D

Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 19 4 12 35

Female 3 13 5 21

Total 22 17 17 56

Let pp represent the percentage of all male students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p to three decimal places.

Enter your answer as a tri-linear inequality using decimals (not percents).

< p

Answers

Answer:

Using Anova for a tri linear probability at ∝= 0.005

Step-by-step explanation:

Here simple probability cannot be used because  we want to enter your answer as a tri-linear inequality using decimals (not percents).

So we can use ANOVA

Null hypothesis

H0: µA = µB=µC

all the means are equal

Alternative hypothesis

H1: Not all means are equal.

The significance level is set at α-0.005

The test statistic to use is

F = sb²/ sw²

Which if H0 is true has an F distribution with v₁=k-1 and v₂= n-k degrees of freedom .

The computations are as follows

                     XA (XA)²            XB (XB)²         XC (XC)²       Total   ∑X²

Male                   19(361)          4(16)                 12(144)           35     521    

Female               3(9)                13 (169)           5  (25)            21      203  

TotalTj                  22                   17                      17              56     724

T²j                       (22)(22)

                             484                 289                  289        1062  

∑X²                     370               285                     169

Correction Factor = CF = Tj²/n = (56)²/6= 522.67

Total SS ∑∑X²- C. F = 724- 522.67= 201.33

Between SS ∑T²j/r - C.F = 1062/ 2 - 522.877 =8.33

Within SS = Total SS - Between SS

=201.33- 8.33= 193

The Analysis of Variance Table is

Source Of                Sum of          Mean         Computed

Variation        d.f    Squares      Squares                    F

Between

Samples           1        8.33               8.33           8.33/ 48.25= 0.1726

Within

Samples          4       193              48.25                                  

The critical region is F >F ₀.₀₀₅ (1,4) = 31.3328

Calculated value of F = 0.1726

Since it is smaller than 5 %  reject H0.

However the decimal probability will be

Male 19 4 12 35

Female 3 13 5 21

Total 22 17 17 56

There are total 22 people who get an A but only 19 males who get an A

So the probability that a male gets an A is = 19/22= 0.8636

Which of the following describes a situation in which the total distance a ball travels is zero meters from its starting point? (5 points)
a
b
The ball first bounces up to a height of 4 meters, and then falls 2 meters towards the ground.
The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground.
The ball first bounces up to a height of 2 meters, and then falls 4 meters towards the ground.
The ball first bounces up to a height of 4 meters, and then falls 0 meters towards the ground.
С
d

Answers

Answer:

The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground

Step-by-step explanation:

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an = 1/sqrt(n)

Answers

This sequence converges to 0.

Proof: Recall that

[tex]\displaystyle\lim_{n\to\infty}\frac1{\sqrt n}=0[/tex]

is to say that for any given [tex]\varepsilon>0[/tex], there is some [tex]N[/tex] for which [tex]\left|\frac1{\sqrt n}-0\right|=\frac1{\sqrt n}<\varepsilon[/tex] for all [tex]n>N[/tex].

Let [tex]N=\left\lceil\frac1{\varepsilon^2}\right\rceil[/tex]. Then

[tex]n>\left\lceil\dfrac1{\varepsilon^2}\right\rceil\ge\dfrac1{\varepsilon^2}[/tex]

[tex]\implies\dfrac1n<\varepsilon^2[/tex]

[tex]\implies\dfrac1{\sqrt n}<\varepsilon[/tex]

as required.

PLEASE HELP ASAP WILL GIVE BRAINLIEST

Answers

It would be D
Rational functions are fractions where numerator and denominator are polynomials.

What is the difference in their elevations?
An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level

Answers

Answer:

their difference in elevations are: they both don't fly one fly and one dive if you take the airplane it works quicker but if you take the submarine you won't reach faster

3

2

Vx

1

1

2 3 4 5 6 7 8 9 10 11 12 X

Magnets

Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.

The cost of 2 magnets is $1.

The cost of 9 magnets is $3.

The cost of 10 magnets is $3.

The cost of 4 magnets is $2.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Next

Submit

Save and Exit

Mark this and retum

Answers

Answer:

The cost of 3 magnets is $1

The cost of 9 magnets is $3

The cost of 6 magnets is $2

Step-by-step explanation:

The cost of magnets is calculated using the equivalent ratio. If 3 magnets cost  $ then the multiple used for the calculations of more magnets is 3. The ratio for every magnet price is 1 : 3 which means every dollar will be equal to 3 magnets. The cost of 3 magnets is $1, the cost of 6 magnets is $2 and cost of 9 magnets is $3.

BRAINLEST , If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2.

Answers

Answer:

Question 18: B. 104

Question 19: [tex] x = \frac{3}{2} [/tex]

Step-by-step Explanation:

Question 18:

Step 1: express the inverse relationship with an equation

[tex] y = \frac{k}{x^2} [/tex] ,

where k is constant

y = 26 when x = 4,

Constant, k, = [tex] y*x^2 = k [/tex]

[tex] k = 26*4^2 = 416 [/tex]

The equation would be [tex] y*x^2 = 416 [/tex]

Step 2: use the equation to find y when X = 2.

[tex] y*x^2 = 416 [/tex]

[tex] y*2^2 = 416 [/tex]

[tex] y*4 = 416 [/tex]

Divide both sides by 4

[tex] \frac{y*4}{4} = \frac{416}{4} [/tex]

[tex] y = 104 [/tex]

Question 19:

[tex] \frac{x}{3} = \frac{x + 2}{7} [/tex]

Cross multiply

[tex] x(7) = 3(x + 2) [/tex]

[tex] 7x = 3x + 6 [/tex]

Subtract 3x from both sides

[tex] 7x - 3x = 3x + 6 - 3x [/tex]

[tex] 4x = 6 [/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{6}{4} [/tex]

[tex] x = \frac{3}{2} [/tex]

Answer: D.) 52

Explanation: I guessed and got it right lol

Find the total area the regular pyramid. T.A=

Answers

Answer:

  18√91 +54√3

Step-by-step explanation:

Name the point at the top of the pyramid "A", the point at the left front corner "B", and the one in the center of the hexagonal base "C". Then right triangle ABC is shown. The "base" BC of that triangle is the same measure as the front edge (6), because the diameter of a regular hexagon is equal to twice the side length.

Using the Pythagorean theorem, we can find the face edge length to be ...

  AB^2 = BC^2 +AC^2

  AB^2 = 6^2 +8^2 = 100

  AB = √100 = 10

If we call the midpoint of the front edge "D", then we need to find the length of AD in order to determine the face area. Again, we can use the Pythagorean theorem.

  AB^2 = BD^2 +AD^2

  AD^2 = AB^2 -BD^2 = 10^2 -3^2 = 91

  AD = √91

The area of one of the 6 lateral faces is ...

  A = (1/2)bh = (1/2)(6)√91 = 3√91

The area of one of the 6 equilateral triangles that make up the base is ...

  A = (√3)/4·s^2 = (√3)/4(6^2) = 9√3

Then the total area of the pyramid is ...

  total area = 6 × (face area + partial base area)

  = 6(3√91 +9√3)

  total area =  18√91 +54√3

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, mode of the listed numbers. 30 31 64 59 57 33 54 77 56 41 What is the mean? Select the correct choice below and ,if necessary ,fill in the answer box within your choice.(around to one decimal place as needed)

Answers

Answer:

30 31 64 59 58 33 54 77 56 41 (arrange it)

30 31 33 41 54 56 58 59 64 77 (done!)

Mean: Find the number in the middle (54+56)/2= 110/2 = 55

Mode: None

Mean: (30+31+33+41+54+56+58+59+64+77)/10=503/10= 50,3

A box is 1 m high, 2.5 m long, and 1.5 m wide, what is its volume?

Answers

Answer:

3.75

Step-by-step explanation:

[tex]v = lbh \\ 2.5 \times 1.5 \times 1 \\ = 3.75[/tex]

The volume of the rectangular prism will be 3.75 cubic meters.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A box is 1 m high, 2.5 m long, and 1.5 m wide.

Then the volume of the rectangular prism will be

V = L x W x H

V = 1 x 2.5 x 1.5

V = 3.75 cubic meters

Thus, the volume of the rectangular prism will be 3.75 cubic meters.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

Given: x - 5 > -2. Choose the solution set.

Answers

Answer: x>3

Step-by-step explanation:

x-5>2

x>+5-2

x>3

How do i do this equation
-3(-2y-4)-5y-2=

Answers

Answer:

Step-by-step explanation: distribute -3 to the parenthesis (-2y-4) to eliminate the parenthesis. you’ll be left with 6y +12 -5y-2. From there you combine like terms. do 6y-5y= 1y or just y and 12-2 = 10. your answer would be 10

jana has 3 banana muffins, 3 poppy seed muffins, 3 spice muffins and 3 blurry muffins she put 1/2 of the muffins on a late how many muffins did janna put on the plate

Answers

Answer:

  6

Step-by-step explanation:

Jana had a total of 3+3+3+3 = 12 muffins. Half that number is 3+3 = 6 muffins.

Jana put 6 muffins on the plate.

which function represents the area of the triangle h(x)=1/2f(x)g(x)

Answers

Answer:

h=1/2fg

Step-by-step explanation:

Solve for x, h=1/2fg

It is true for all x; h=1/2fg

h=1/2fg

Both sides are equal

It is true for all x; h=1/2fg

Frank and Gregory leave Centreville traveling in opposite directions on a straight road. Gregory drives 22 miles per hour faster than Frank. After 2.25 hours, they are 216 miles apart. Find Frank's speed and Gregory's speed.

Answers

Answer:

Frank speed = 37mi/hGregory speed = 59mi/hr

Step-by-step explanation:

Let the speed of Frank be x and speed of Gregory be y. If Gregory drives 22 miles per hour faster than Frank, then y = 22+x. SInce they they are 216miles apart after 2.25 hours,

Speed = Distance/Time

Total time travelled by them = 2.25hours

Total distance = 216 hours

Total speed = x+y = x+22+x

Substituting this parameters into the formula given to get x we will have;

x+22+x = 216/2.25

2x+22 = 96

2x = 96-22

2x = 74

x = 74/2

x = 37

Hence the speed of Frank is 37miles per hour while that of gregory is 37+22 = 59miles/hour

Need Help
*Please Show Work*​

Answers

Hi there! :)

Answer:

y = -2x + 3

Step-by-step explanation:

We can write an equation in slope-intercept form. Use the slope formula to find the rate of change in the table:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in values from the table:

[tex]m = \frac{5 - 7}{-1 - (-2)}[/tex]

Simplify:

m = -2 (rate of change)

Use a point from the table (-2, 7) and the slope to solve for the equation for the linear function:

7 = -2(-2) + b

7 = 4 + b

7 -4 = b

b = 3

Rewrite:

y = -2x + 3 is the equation for the linear function.

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Pattern A starts at 20 and has the rule 'subtract 2 Pattern B starts at 20 and hasthe rule 'subtract I". Which shows the first several terms of Patterns A and B?Pattern A: 20, 17, 15, 13, 11, Pattern B: 20, 19, 18, 17, 16, 15Pattern A: 20, 18, 16, 14, 12, 10Pattern B: 20, 21, 22, 23, 24, 25Pattern A: 20, 18, 16, 14, 12, 10Pattern B: 20, 19, 18, 17, 16, 15Pattern A: 20, 22, 24, 26, 28, 30Pattern B: 20, 21, 22, 23, 24, 25 Decreasing the number of stocks in a portfolio from 50 to 10 would likely ________________. A. increase the systematic risk of the portfolio B. increase the unsystematic risk of the portfolio C. increase the return of the portfolio D. decrease the variation in returns the investor faces in any one year WHAWhich of the following statements would most likely have been spoken by a Democrat during the Jacksonian era?In this tuta.) "We are convinced that the national bank is popular with voters, and the president should bend to the willof the people."platformathe nationOanger contrenew theb.) "A national bank is an institution that exists only for the benefit of elite businessmen and merchants."Jackson adAmerican pac.) "The government's right to establish a national bank is supported by the Constitution and is necessary fornational economic stability."Our discussid1. The Bank2. The Bankd.) "Our party grew out of opposition to Andrew Jackson and his policies."3. The After4. Whigs5. Rise of theSUBMIT MY ANSWER1. The Banks which approach does procedural programming follow? bottom up, top down, random, or object oriented What type of languages attaches prefixes or suffixes to denote different meanings to words? A. isolating languages B. amalgamating languages C. inflectional languages D. agglutinating languages A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent. The carrying value of Blossoms net identifiable assets, including the goodwill, at year-end is $855,000. Prepare Cullumbers journal entry, if necessary, to record impairment of goodwill. In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is drawn (at random) from ten red balls numbered from $11$ to $20$. When you buy a ticket, you choose three numbers from $1$ to $10,$ and one number from $11$ to $20$. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize? Which is represented by the image? A. f(x) = -x^2 - x - 4B. f(x) = -x^2 + 4C. f(x) = x^2 + 3x + 4D. f(x) = x^2 + 4 Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth. Match the words to the correct blanks in the sentences. Use each choice only once. a. The collapse of a protostar with less than 0.08 times the mass of the Sun is halted by________. b. As a protostar shrinks in size, its central temperature rises along with its________. c. A star that has not yet finished forming is called a_______. d. A forming star spins more rapidly as it collapses because of conservation of________. e. If a protostar has a mass too small for it to sustain nuclear fusion it becomes the type of object known as a________.A. thermal pressureB. angular momentumC. energy balanceD. degeneracy pressureE. brown dwarfF. gravitational equilibriumG. protostar One day, you decide to pop some popcorn. You put the bag in the microwave, but after a couple of minutes of cooking it is clear the popcorn is not popping. Why did this happen? What steps could you take to help locate the problem? Explain why within any set of ten integers chosen from 2 through 24, there are at least two integers with a common divisor greater than 1 g How does the direction of current flow in the coil affect the orientation of the magnetic field produced by the electromagnet In its first year of operations, Roma Company reports the following. Earned revenues of $57,000 ($49,000 cash received from customers). Incurred expenses of $31,500 ($24,450 cash paid toward them). Prepaid $9,750 cash for costs that will not be expensed until next year.Compute the company's first year net income under both thecash basis and the accrual basis of accounting. Salaries of 42 college graduates who took a statistics course in college have a mean, , of . Assuming a standard deviation, , of $, construct a % confidence interval for estimating the population mean . If a bank has required reserves of $27,000,000, excess reserves of $41,000,000, and deposits of $90,000,000 with a required reserve ratio of 30 percent, how much can the bank lend out? Clalm: Students should be required to wear schooluniforms.Which statement is an example of a reasonable counterclaim to this claim?A. Bullying is a big problem in most public high schools today.B. School uniforms are expensive and unaffordable for manystudents.C. The use of smartphones should also be banned in public highschoolsO D. Students who wear uniforms to school are almost never late toclass. A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?