Factor and simplify the algebraic expression.

3x^-4/3 +6x^1/3

Thanks in advance if you can help me!

Answers

Answer 1
[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}} \\\\\\ and\qquad a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\[/tex]

[tex]\fb 3x^{-\frac{4}{3}}+6x^{\frac{1}{3}}\implies 3\cdot \cfrac{1}{x^{\frac{4}{3}}}+6x^{\frac{1}{3}}\implies \cfrac{3}{x^{\frac{4}{3}}}+6x^{\frac{1}{3}}\impliedby LCD=x^{\frac{4}{3}} \\\\\\ \cfrac{3+(6x^{\frac{1}{3}})(x^{\frac{4}{3}})}{x^{\frac{4}{3}}}\implies \cfrac{3+6x^{\frac{1}{3}+\frac{4}{3}}}{x^{\frac{4}{3}}}\implies \cfrac{3+6x^{\frac{5}{3}}}{x^{\frac{4}{3}}}\implies \cfrac{3+6\sqrt[3]{x^5}}{\sqrt[3]{x^4}}[/tex]

that'd be hmmm a kinda simplification of it, not sure if I could call it a simplified version, more like an expansion though.

Related Questions

can someone pls answer

Answers

9y = -11x +36

 y = -11/9 +4

y = 4

Makers Corp. had additions to retained earnings for the year just ended of $395,000. The firm paid out $195,000 in cash dividends, and it has ending total equity of $5.3 million. What is the net income?

Answers

Net income=Additions to retained earnings+Dividends

Net income=395,000+195,000
Net income=590,000

a car is traveling at a rate of of 55 miles per hour. how many feet oer hour does the car travel?

Answers

There are 5280 ft in a mile. 55*5280=290400. So the car is travelling 290,400 ft/hour

Find the amount of time to the nearest day it would take a deposit of $1300 to grow to 1 million at 17% compounded continuously. The amount of time it would take to grow the deposit to $1 million is____ years ___ days

Answers

[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ A = Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\to 1000000\\ P=\textit{original amount deposited}\to& \$1300\\ r=rate\to 17\%\to \frac{17}{100}\to &0.017\\ t=years \end{cases}[/tex]

[tex]\bf 1000000=1300e^{0.17t}\implies \cfrac{1000000}{1300}=e^{0.17t}\implies \cfrac{10000}{13}=e^{0.17t} \\\\\\ ln\left( \frac{1000000}{1300} \right)=ln(e^{0.17t})\implies ln\left( \frac{1000000}{1300} \right)=0.17t \\\\\\ \cfrac{ln\left( \frac{1000000}{1300} \right)}{0.17}=t\impliedby years[/tex]

now, how many days? simply multiply t * 365.

It would take approximately 39 years and 183 days for the deposit to grow to $1 million.

Use the concept of compound interest defined as:

The interest that is computed using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

Given that,

Initial deposit: $1300

Target amount: $1 million

Interest rate: 17%

Compounding: Continuous

Time to calculate: To the nearest day

To find the amount of time it would take,

Use the formula:

[tex]t = \dfrac{ln(\frac{M}{P})}{r}[/tex]

Where,

t = time in years

M = final amount ($1 million)

P = initial deposit ($1300)

r = interest rate (17% or 0.17)

Find the natural logarithm of the ratio M/P:

ln(1,000,000 / 1,300) ≈ 6.64

Divide the result by the interest rate:

t = 6.64 / 0.17

t ≈ 39.05 years

So, it would take approximately 39 years to grow the deposit to $1 million.

To determine the number of days,

Multiply the decimal part of the years by 365 (assuming a non-leap year):

0.05 x 365 ≈ 183 days

Hence,

Rounding to the nearest day, it would take approximately 39 years and 183 days for the deposit to grow to $1 million.

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Water weighs about 8.34 pounds per gallon. About how many ounces per gallon is the weight of water?

Answers

1 lb = 16 oz....so 8.34 lbs = (8.34 * 16) = 133.44 oz

the weight of the water is 133.44 oz per gallon

Which is a better deal on a $39.99 item: 50% off original price or 40% off, plus additional 20% at the register?

Answers

The answer is 40% off plus the 20% off at the register.
Hope this helps****; )

vito just put some money into a cd that pays 12.7 interest compound quarterly. according to the rule of 72,in the approximately how years will he have 4 times the amount of money that he has now

Answers

Answer:

11.34 years.

Step-by-step explanation:

We have been Vito put some money into a cd that pays 12.7 interest compound quarterly.

Since the rule of 72 states that to find the number of years it will take an amount to double, we need to divide 72 by annual interest rate.

First of all let us find the number of years it will take to double Vito's money by dividing 72 by 12.7.

[tex]\text{Time it will take to double Vito's money}=\frac{72}{12.7}[/tex]

[tex]\text{Time it will take to double Vito's money}=5.66929133858\approx 5.669[/tex]    

Since it will take 5.669 years to double Vito's money, so to find the time it will take Vito to have 4 times the money, we will multiply 5.669 by 2.

[tex]\text{Time it will take to have 4 times Vito's money}=5.669*2[/tex]

[tex]\text{Time it will take to have 4 times Vito's money}=11.338\approx 11.34[/tex]  

Therefore, approximately in 11.34 years Vito will have 4 times the amount of money that he has now.

If you flipped a fair coin 6 times and got 6 heads, what would be the probability of getting a head on the next toss? enter your answers as fractions.

Answers

I'm guessing it would 3/4 I might be wrong but that's what I think it would be.
If you toss the coin on the 6th attempt, the probability to get a head on the next attempt will be ½

If it is from the first attempt, to toss 7 heads in a row, the probability
= ½ × ½ × ½ × ½ × ½ × ½ × ½
= 1/128

Please Help ASAP
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x) =x^2-320x+40,052 . What is the minimum unit cost? Do not round your answer.

Answers

the C(x) equation is a parabola with a squared "x" and a positive leading term coefficient, meaning, is a vertical parabola and it opens upwards

the lowest point, or lowest cost value, it reaches, is the U-turn point, or vertex

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llccll} y = &{{ 1}}x^2&{{ -320}}x&{{ +40052}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)[/tex]

so, the lowest cost is at   [tex]\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}[/tex]

A 34 - m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36 m . Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answers

a^2 + b^2 = c^2
34^2 + b^2 = 36^2
1156 + b^2 = 1296
b^2 = 1296 - 1156
b2 = 140
b = sqrt 140
b = 11.8 m <==

Answer:

Length of the shadow is 11.8 meters.

Step-by-step explanation:

In the figure attached,

AB is a 34 meter tall building casting a shadow BC.

Let the measure of BC = x meters

It is given that the distance between A and C is 36 meters.

To find the length of BC we will apply Pythagoras theorem in the triangle.

AB² + BC² = AC²

(34)² + x² = (36)²

1156 + x² = 1296

x² = 1296 - 1156

x² = 140

x = √140

x = 11.832 meters

  ≈ 11.8 meters

Therefore, length of the shadow will be 11.8 meters.

f(x) = 2/3 x -5 what is the value f(6)?

Answers

f(6)=2/3(6)-5
f(6)=4-5
f(6)=-1

Final answer: f(6)= -1

What is the value of 2xy if x = 3 and y = 2

Answers

Substitute the values.
2(3)(2)=?
2*3=6
6*2=12
Final answer: 12

Answer:

the value of 2xy if x =3 and y= 2 is 12

Step-by-step explanation:

Write the ratio of 4 teachers to 134 students in simplest form.?

Answers

It would be 4/134, and simplified that is 2/67.

So it would be 2 teachers to 67 students

divide 134/4 = 33.5 that would be 1/33.5

since you can't have .5 student, multiply each side by 2

33.5*2 = 67

 so 2/67 would be the simplest form using whole numbers


write a formula for the nth term of the sequence. Identify your formula as recursive or explicit. -3,3,-3,3,-3,3

Answers

a sub 1= -3
a sub n= -1*a sub n-1
recursive

what is the least common multiple of 20 and 52

Answers

The LCM of 20 and 52 is 260
hope this helps:)

The least common multiple of 20 and 52 is, 420

What is Least common multiple?

The Least common multiple of two or more numbers are the smallest number that is multiple of two or more numbers.

Given that;

The numbers are,

⇒ 20 and 52

Now, The factors of numbers are,

⇒ 20 = 2 × 2 × 5

⇒ 42 = 2 × 3 × 7

Hence, The least common multiple of 20 and 52 is,

⇒ LCM of {20, 52} = 2 × 2 × 5 × 3 × 7

                             = 420

Thus, The least common multiple of 20 and 52 is, 420

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an ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of the ellipse?

Answers

Answer:  The equation of the ellipse is

[tex]\dfrac{x^2}{169}+\dfrac{y^2}{25}=1.[/tex]

Step-by-step explanation:  We are given to find the equation of an ellipse that has a center at the origin, a vertex along the major axis at (13, 0) and a focus at (12, 0).

Since the focus lies on the X-axis, so the standard equation of an ellipse with major axis as X-axis is given by

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

According to given information, we have

a vertex along the major axis, (a, 0) = (13, 0)  

⇒ length of the major axis, a = 13,

co-ordinates of focus, (c, 0) = (12, 0)

⇒ c = 12.

We know that

[tex]c^2=a^2-b^2.[/tex]

Therefore,

[tex]12^2=13^2-b^2\\\\\Rightarrow 144=169-b^2\\\\\Rightarrow b^2=169-144\\\\\Rightarrow b^2=25\\\\\Rightarrow b=5.[/tex]

Thus, from equation (i), we get

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\\\Rightarrow \dfrac{x^2}{13^2}+\dfrac{y^2}{5^2}=1\\\\\\\Rightarrow \dfrac{x^2}{169}+\dfrac{y^2}{25}=1.[/tex]

The equation of the ellipse is

[tex]\dfrac{x^2}{169}+\dfrac{y^2}{25}=1.[/tex]

The equation of the ellipse along the major axis at (13, 0), and a focus at (12, 0) is; x²/169 + y²/25 = 1

Equation of an ellipse

The equation of an ellipse whose center is the origin, (0,0) usually takes the form;

x²/a² + y²/b² = 1

The coordinates of the vertex on the major axis is given as; (13,0) and the focus at (12,0)

Hence, the square of the length of the minor axis;

b² = a² - c²

b² = 169 - 144

b² = 25.

Hence, the equation of the described ellipse is;

x²/169 + y²/25 = 1

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Given the function value of the acute angle find the other five trigonometric function values cos a= Sqrt 7/7

Answers

well, we know the angle is acute, that means is less than 90°, meaning is in the first quadrant, that means the "x" or adjacent side as well as the "y" or opposite side, are both positive.

[tex]\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\ -------------------------------\\\\ cos(a)=\cfrac{\sqrt{7}}{7}\cfrac{\leftarrow adjacent}{\leftarrow hypotenuse}\quad \textit{now, let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\bf \pm\sqrt{7^2-(\sqrt{7})^2}=b\implies \pm\sqrt{49-7}=b\implies \pm\sqrt{42}=b \\\\\\ \textit{now, which is it, the + or -? well, we're in the 1st quadrant, is }\sqrt{42} [/tex]

[tex]\bf \textit{now that you know all three sides, just plug them in} \\\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad % tangent tan(\theta)=\cfrac{opposite}{adjacent} \\\\\\ % cotangent cot(\theta)=\cfrac{adjacent}{opposite} \qquad % cosecant csc(\theta)=\cfrac{hypotenuse}{opposite} \quad % secant sec(\theta)=\cfrac{hypotenuse}{adjacent}[/tex]

Consider △LNM. Which statements are true for triangle LNM? Check all that apply. The side opposite ∠L is NM. The side opposite ∠N is ML. The hypotenuse is NM. The hypotenuse is LN. The side adjacent ∠L is NM. The side adjacent ∠N is ML.

Answers

According the diagram given the correct statements are: The hypotenuse is LN; The side opposite [tex]\rm \angle L[/tex] is NM and The side opposite to [tex]\rm \angle N[/tex] is ML.

Given :

Triangle LNM.

Acccording to the given triangle (attached below):

The base of the triangle LNM is LM.

The perpendicular of the triangle LMN is NM.

The hypotenuse of the triangle LMN is LN.

The opposite side of [tex]\rm \angle L[/tex] is MN.

The opposite side of [tex]\rm \angle N[/tex] is LM.

Therefore, the correct statements are: The hypotenuse is LN; The side opposite [tex]\rm \angle L[/tex] is NM and The side opposite to [tex]\rm \angle N[/tex] is ML.

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Final answer:

In triangle LNM, the side opposite angle L is NM, and the side opposite angle N is ML. The side adjacent to angle L is NM, and the side adjacent to angle N is ML. The hypotenuse of triangle LNM is LN, not NM.

Explanation:

In triangle LNM, the side opposite angle L is NM, so the statement "The side opposite ∠L is NM" is true.

In triangle LNM, the side opposite angle N is ML, so the statement "The side opposite ∠N is ML" is true.

The hypotenuse of triangle LNM is LN, not NM, so the statement "The hypotenuse is NM" is false.

The side adjacent to angle L is NM, so the statement "The side adjacent ∠L is NM" is true.

The side adjacent to angle N is ML, so the statement "The side adjacent ∠N is ML" is true.

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Erica bought 3 1/2 yards of Frederick if she uses 2/3 of the fabric to make a curtain how much will she have left

Answers

First, we need to convert 3 1/2 into an improper so we can multiply the two fractions.

3 1/2 
3*2=6
6+1=7
3 1/2 as an improper fraction would be 7/2

Now we multiply the fractions.
7/2*2/3
7*2=14
2*3=6
14/6
Now we can convert the improper fraction back into a proper fraction.

How many times does 6 fit into 14? 2 with a remainder of 2
The Fraction would be: 2 2/6 or reduced to 2 1/3
She used 2 1/3 yards of fabric.

The question asks for how much she has left so, we must subtract 2 1/3 from 3 1/2
However, we must have a common denominator to subtract.

To find this, we can list the multiples of both of the denominators:
2: 2,4,6,8,10
3: 3,6,9,12,15

The LCM (Lowest Common Denominator) is 6.
2*3=6
3*2=6

We must do the same for the numerator as what is done for one-half has to be done for the other.

1*3=3
1*2=2

The New fractions would be:
3 3/6
and 
2 2/6

Now we can subtract ;
3-2=1

3-2=1

We don't subtract the denominator

The answer is 1 1/6.

Erica would have 1 1/6 of the curtain left.

Hope this Helps! 
-Benjamin :)



2.5 million deaths per is how many deaths per minute

Answers

Is 2.5 million per hour? day? year?

The directions for mixing an insect spray say to use 1 3/4 ounces of chemical in each gallon of water. How many ounces of chemical should be mixed with 4 1/5 gallons of water?

Answers

Since 1 3/4 oz. chemical / 1 gallon water, convert that to an improper fraction--> 7/3oz./gallon water.
Now convert the new water gallons to an improper fraction: 4 1/5 gallons
--> 21/5 gallons
Now 21/5 gallons water × 7/3oz./gallon water = 21×7/5×3 = 7×7/5 = 49/5oz.--> convert to mixed number: 9 4/5oz. chemical in order to make 4 1/5 gallons of mixture.

7 7/20 ounces of chemical should be mixed with 4 1/5 gallons of water.

To determine the amount of chemical to mix with 4 1/5 gallons of water, you need to use the given ratio of 1 3/4 ounces of chemical per gallon of water.

1.)  Convert 4 1/5 gallons to a mixed number:

4 1/5 = 21/5 gallons.

2.)  Multiply the amount of water by the chemical-to-water ratio:

(21/5) gallons * (7/4) ounces = 147/20 ounces.

3.)  Convert 147/20 ounces to a mixed number:

147/20 = 7 7/20 ounces.

Therefore, 7 7/20 ounces of chemical should be mixed with 4 1/5 gallons of water.

A total of 444 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

a + s = 444
s = 2a

a + 2a = 444
3a = 444
a = 444/3
a = 148 <== adults

s = 2a
s = 2(148)
s = 296 ...students
s=2a

a+s=444, using s from above

a+2a=444

3a=444

a=148

148 adult tickets were sold...

A rectangle field with area 300 square meters has a length that is 5 meters more than it's width. If W represents the width of the field then an equation that can be used to determine the value of W is?

A) w^2-1500
B) w^2-295
C) w^2+5w-300
D) w^2-5w-300
E) 5w^2-300

Answers

c because it makes the most sence

The equation that would be used to determine the value of w is expressed as: C. w² + 5w - 300

What is the Area of a Rectangle?

Area of a rectangle = (length)(width).

Given the following:

Area = 300 sq. mWidth = wLength = (w + 5) m

Therefore, equation that would be used to find the value of w is:

(w + 5)(w) = 300

w² + 5w = 300

w² + 5w - 300

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A tree is 6 feet 4 inches tall. How tall is it in inches?

Answers

 1 feet has 12 inches...so 6feet multiply by 12 inches is equal to 72 inches....But Be Careful!!! We also have 4 inches...so, we are suppose to add those 4 inches to 72 inches as well. So, 72+4 =76 inches....Hence, 76 inches is your final answer..


The number of inches in 6 feet 4 inches tall is 76 inches.

Given that, a tree is 6 feet 4 inches tall.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 feet = 12 inches

So, 6 feet = 6×12

= 72 inches

Now, in inches = 72+4

= 76 inches

Therefore, the number of inches in 6 feet 4 inches tall is 76 inches.

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Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = –3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = –3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences.

Answers

The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way. 

For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.

For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.


1) Which number rounds up when rounded to the nearest tenth?

55. 24

170.93

0.12

8.15

___________

2)

Estimate the value of 2968 + 9912 by rounding each number to the thousands.

14,000

13,000

12,000

7000
___________

3)

Which statement below shows the best use of friendly numbers to estimate the value of 27 ·times 4

25 times 4 = 100

30 times 5 = 150

27 times 4 = 108

20 times 4 = 80
_____________
4)

Marcus has 78 baseball cards and 45 basketball cards. Estimate the total number of cards Marcus has.

30

33

123

130
___________
5)

Determine which answer is reasonable for 4. 8 times 9.2.

14

45.36

432

870.4

(please be 100 sure)

Answers

#1: 
170.93
8.15

you are looking at the hundreds place to decided if one runs up or not. 5 or higher rounds up, 4 to zero stays the same

#2: 2913 = 3000; 9912 = 10000
10000 + 3000 = 13000
B.13000

#3: 27 x 4 = 108
if 'friendly' means making it easier, like 27 becomes 30 and 4 becomes 5, well idk what friendlier means so... i give you the exact number. But it looks like 30 x 5 if that is what friendlier means

#4: 78 + 45 = 80 + 50 (round it up)
80 + 50 = 130
D) 130

#5  4.8 x 9.2 = 44.16

closest is 45.36 so...
B) 45.36


hope this helps

the slope of a line is 2/3. what is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. do not include spaces in your answer. if necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).

Answers

-3/2 is the perpendicular slope since thats the opposite reciprocal of 2/3

What is the value of this expression? (-8)3

Answers

Answer:

Step-by-step explanation:

You could, if you wished, take out the negative sign, obtaining -(8)(3).  That would be -24.

But if you meant exponentiation, it would look like (-8)^3, or (-8)³, and that would be equal to 8*8*8 = 512.

A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?

Answers

s/18=64/288  multiply both sides by 18

s=1152/288

s=4 ft

So Sarah is four feet tall.

For what value of a does 9=(1/27)^a+3

Answers

Given: 9=(1/27)^(a+3)

[Note:  Please review rules of PEMDAS.  
The question posted as is means
9=[(1/27)^a]+3 which is probably not what you mean.  It has been interpreted with (a+3) as the exponent, please check.]

Need to find value of a that satisfies above.

We will first isolate a in order to solve for its value.
9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3

Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok

Answer: a=-11/3 or a=-3.667 (approx.)

The value of a in the equation [tex]9=(\frac{1}{27})^{a+3}[/tex] is a = -11/3

Solving indical equations

The given equation is:

[tex]9=(\frac{1}{27})^{a+3}[/tex]

This can be rewritten as:

[tex]9=27^{-1(a+3)}[/tex]

Which can be further simplified as:

[tex]3^2=3^{-3(a+3)}[/tex]

Since the bases are equal, they cancel out

The equation becomes:

2  =  -3(a  +  3)

2  =  -3a  -  9

2+9  =  -3a

-3a  =  11

a  =  -11/3

Therefore, the value of a in the equation [tex]9=(\frac{1}{27})^{a+3}[/tex] is a = -11/3

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Compared with the first new deal, the second new deal focused on __________ instead of relief programs. In an atom, electrons ____. a. are located in the nucleus c. travel outside the nucleus b. are paired with neutrons d. are always in the same place in an atom The death of a star occurs when its _____ stops A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for football or baseball. Out of the total 77 people who liked football, 48 also liked baseball. There were 65 people who liked baseball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for football or baseball. Out of the total 77 people who liked football, 48 also liked baseball. There were 65 people who liked baseball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like footballDo not like footballTotal Like baseballADG Do not like baseballBEH TotalCFI Part B: What percentage of the survey respondents did not like either football or baseball? (3 points) Part C: Do the survey results reveal a greater dislike for football or baseball? Justify your answer. (2 points) A person wishes to mix coffee worth nine dollars per pound with coffee worth three dollars per pound to get 240 pounds of a mixture worth five dollars per pound how many pounds of the nine dollars and the three dollar coffee will be needed Something new with the united states, is the concept that birth (and residence or naturalization) in a country imparts basic rights One molecule of glucose can yield _____ ATP after glycolysis and aerobic respiration.2364none of the above the area of the cross section of a sphere at the largest point is 100 Pi square miles. What is the total surface area of the sphere? Which person had theories that brought him in to conflict with the church and the inquisition Jane does not believe in spending on high-end fashion brands. however, when she is out shopping with her colleagues who regularly splurge on luxury brands, she ends up buying expensive apparels to impress them. jane is most likely to score high on the _____ variable. help me solve this equation 3x-7=4x Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Gary earned $408 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points) Under the Constitution, if the president vetoes a bill, Congress can Read the following excerpt from The Great Gatsby:Suddenly, with a strained sound, Daisy bent her head into the shirts and began to cry stormily. "They're such beautiful shirts," she sobbed, her voice muffled in the thick folds. "It makes me sad because I've never seen suchsuch beautiful shirts before."Based on this excerpt, which statement best explains Daisy's reaction to Gatsby's shirts? A.She is reminded of the beauty of the unattainable American Dream. B.She is being ironic and really thinks the shirts are rather ugly. C.She regrets that she was never able to make such beautiful shirts for her husband. D.She is a woman who appreciates beauty, no matter what form it takes. Jamie unfolded a cardboard box. The figure of the unfolded box is shown below: Which expression can be used to calculate the area of cardboard, in square inches, that was used to make the box? 6 x 4 x 4 4 x 6 x 6 6 x 2 x 2 2 x 6 x 6 Whenever the parents of a 10 month old leave their hospitalized child for short periods the child begins to cry and scream. the nurse explains that this behavior demonstrates that the child:? What other information do you need to prove ABE is congruent to EDA by SSS?A) A= CB) EAC is isosceles triangle with base ECC) E= CD) EAC is equilateral triangle Which expression is equivalent to (x^27y)^1/3?A) x^3 (3y)B) x^9 (3y)C) x^27 (3y)D) x^24 (3y) What can be deduced by the percentage of americans who identify themselves as moderates? Translate the sentence into an equation. Twice the difference of a number and 2 equals 9 . Use the variable y for the unknown number. Steam Workshop Downloader