Simplify the following equations

Simplify The Following Equations

Answers

Answer 1

Step-by-step explanation:

Given the expressions

1)

[tex]\sqrt[5]{16} * \sqrt[5]{2} \\= 16^{1/5} * 2^{1/5}\\= 2^{4(1/5)} * 2^{1/5}\\= 2^{4/5} * 2^{1/5}\\= 2^{4/5+1/5}\\= 2 ^{5/5}\\= 2^1\\= 2\\\\[/tex]

2)

[tex]\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= \frac{243^{1/4}}{3^{1/4}}\\= \frac{3^{5/4}}{3^{1/4}}\\=3^{5/4-1/4}\\= 3^{4/4}\\= 3[/tex]

3)

[tex](3+\sqrt{2} )(4+\sqrt{7} )\\= 3(4) + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\= 12 + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\[/tex]


Related Questions

88.7% of 58
Please help me i need the answer!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

the answer is 51.4% i Believe

Expand and simplify
√5 (√10+ √2)

Answers

60 for this is the answer

Please help!! (Picture above) can you please explain how you did it? I’m confused.

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

  (f ◦ g)(3) = f(g(3))

Each of the coordinate pairs for g correspond to ...

  (x, g(x))

Then g(3) can be found by looking for the pair that has 3 in the first location. That ordered pair is ...

  (3, 4)

so we know that g(3) = 4.

Now, we know that f(g(3)) = f(4). This tells us to look for the ordered pair in the f relation that has 4 as its first value. That ordered pair is ...

  (4, 9)

so we know that f(4) = 9.

__

In summary, ...

  (f ◦ g)(3) = f(g(3)) = f(4) = 9

Anyone good at math? I need some help, not as hard as it looks, my brain is just dead will give brainlest
In a local election, four nominees each received a portion of the votes, as shown in the table.

Nominee Voting Portion
Mr. Douglas 9/50
Mrs. Maury 26%
Mr. Hill 7/20
Mrs. Jackson 0.21

Put the nominees in order of how many votes they received, beginning with the winner.

Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas
Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill
Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas
Mr. Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas

Answers

Sure I can help!
In decimal form:
Mr D. = 0.18
Mrs. M = 0.26
Mr H = 0.35
Mrs. J = 0.21

So the order is HMJD and the 3rd option is correct

Answer:

Hmjd its the third answer

Step-by-step explanation:

a certain arithmetic sequence has the following for the nth term an= 12 + (n-1)(5)
State whether its a, b,c, or d please.

Answers

Answer:

a(n-1)+d

d=5

The anser is A

How do I find the percent increase and decrease easily?

Answers

Answer:

division, I mostly use it and I find it easy

Find the midpoint between (3 , -4) and (6 , 1). Group of answer choices

Answers

Answer:

[tex](4.5, -1.5)[/tex]

Step-by-step explanation:

[tex](\frac{3+6}{2}, \frac{-4+1}{2})\\(4.5, -1.5)[/tex]

Can you please help me

Answers

answer of 15 is

5

sry I don't know others Very Very Sry

For 13 I believe A since 9 times 2 is 18 and 24 x will get the same answer as 24x + 18

T -10 -9 -8-7-6-5-4-3-2-1. 0 1 2 3 4 5 6 7 8 9
Using the number line above, select the number that would be the opposite of point T.
A.0
B.9
C.-8
D.7​

Answers

The correct answer is C !

Answer:

C

Step-by-step explanation:

Y-4=3(x - 1)
Identify slope

and what is an “anchor point”

Answers

y-4=3 (x - 1 ) :))))))))
The slope is 3 and an anchor point is a parent function, the corresponding point of the new function

Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends? (Answer choices 15,33,56,60)

Answers

Answer:

D. 60

Step-by-step explanation:

Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.

The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.

A. 15 - This is wrong as 15 is not a multiple of 6.

B. 33 - This is wrong as 33 is not a multiple of 6.

C. 56 - This is wrong as 56 is not a multiple of 6.

D. 60 - This is CORRECT as 60 is a multiple of 6.

If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.

Answer:

15

Step-by-step explanation:

5x3=15

Given: x-5>-2.
Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)

Answers

Answer:

The solution set is {x : x ∈ R, x > 3} ⇒ C

Step-by-step explanation:

The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}

Let us solve the question

x - 5 > -2

→ Add 5 to both sides of the inequality

∴ x - 5 + 5 > -2 + 5

x > 3

→ By using the first rule above

The solution set is {x : x ∈ R, x > 3}

In parallelogram STUV, find the measure of TS.

Answers

Answer:

123.8 cm

Step-by-step explanation:

well we know that STUV is a parallelogram (given)

so by properties of a parallelogram we know that opposite sides are congruent (in other words equal)

so we have that

VU=TS

and we know that VU=123.8 cm (given)

so TS=123.8

what is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm

Answers

Answer:

89.6994g

Step-by-step explanation:

M = DV

   = 11.34g/cm^3 * 7.91cm^3

   = 89.6994g

Hope this helps!

The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing the significance of the difference between the means is

Answers

Answer:

Independent-samples t-test.

Step-by-step explanation:

We are looking for the appropriate design for testing the significance of the difference between the means.

Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.

Thus, the test to be used here is Independent-samples t-test.

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Answers

Answer:

 y= -3/4x - 4

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

                           -1= 3 + b    subtract 3 for both sides

                           -4=b

         substitue -4 for b.   Now you have    y= -3/4x - 4    this is your answer.

3.
What is the slope of the equation?
y=-3x + 4
a) -3
b) 3
c)4.
d) -4

Answers

Answer:

-3

Explanation :

slope intercept form

y=mx+b

y= -3x+4

slope is also m

b is the y-intercept

Which unit rate is equivalent to 17 miles per gallon? (5 points)

Question 1 options:

1) 3 gallons
_________
51 miles




2) 51 miles
______
3 gallons



3) 34 miles
_____
4 gallons



4) 4 gallons
______
34 miles

Answers

Answer:

The answer would be option 2) 51 miles/3 gallons.

Step-by-step explanation:

First, every 17 miles needs 1 gallon. If you add 17 more miles, it'll be 34 miles and you'll need a 2nd gallon, so you can already eliminate options 3 and 4. If you add another 17 miles and a gallon, it'll give you 51 miles 3 gallons. Option 1 would not be the answer because if you did 3/51, you'll get a whole different answer in decimals. So the only other option to choose from is option 2.

какая фигура имеет ось симметрии и центр симетрий​

Answers

Answer:

Проведите линию через форму, чтобы каждая сторона была зеркальным отражением. Когда фигура складывается пополам по оси симметрии, две половинки совпадают. На этой фотографии белая линия по центру представляет собой вертикальную ось симметрии.

Step-by-step explanation:

anyone?? please? there's only 5 and i gotta get theses done asap

Answers

Answer:

you would be multiplying by 4

Step-by-step explanation:

16*4=65

HELP PLEASE HELP HELP THIS HOMEWORK IS LATE I NEED HELP ILL MARK BRAINLIEST!!! I THINK THIS IS 26 POINTS OR SUM IDK BUT HELP

Answers

Answer:  Elevator A

Step-by-step explanation:

30 ÷ 4 =7.2 floors per 6 sec

30 ÷ 3 = 10 floors per 5 scc

y = 230X + 100

What is the constant rate

Answers

Answer: y 12 6 4 3. - 2 Y x 1 | 2 | 3 | 4 |. | y | 7 | 5| 3 1. 3.

Step-by-step explanation:

a sequence is a set of

Answers

Answer:

set of related events, movements, or things that follow each other in a particular order.

Step-by-step explanation:

a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Find the coordinates of the x intercept and y intercept

Answers

Answer:To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

answer is in there at the bottem

Step-by-step explanation:

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale for $170, which was one-fourth of the original price. What was the original price of the nightstand

Answers

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

The original price of the nightstand is $680.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Krystal bought a nightstand on sale for $170, which was one-fourth of the original price.

Let the original price of nightstand be x.

Now, 1/4x =170

x=170×4

x=$680

Therefore, the original price of the nightstand is $680.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

Matthew dropped a tennis ball off the roof of 100 foot tall building. The objects height (y) is modeled by the equation below. At what time (t) does the ball hit the ground? Round your answer to the nearest tenth

Answers

Answer:

2 seconds later

Step-by-step explanation:

Since the required equation is lacking, let the equation modeled by the height be expressed as y = -16t² + 64

The ball hits the ground at y =0. Substitute y = 0 into the expression and find t;

Since y = -16t² + 64

0 =  -16t² + 64

16t² = 64

t² = 64/16

t² = 4

t = ±√4

t = 2 and -2

Time cannot be negative, hence the ball hits the ground 2 seconds later.

Note that the equation used was assumed. Similar solution can be applied for any given equation.

PLEASE EXTRA POINTS I REALLY NEED HELP!!! 1. A ski lift carries Carol up a slope at a rate of 5 mph.
She skis down the slope, parallel to the lift, at a speed of
20 mph. The round trip takes 45 minutes.
Write and solve a system of equations to determine
how far she skis.

System:

Defined variables:

Solve:

Solution as a sentence:

Answers

Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.

System:

d= 5(0.75-t)

d= 20t

20t = 3.75 -5t

Define Variables:

d = how far Carol Skied

t = time it took Carol to go up/down

Solve:

20t = 3.75 -5t

20t + 5t = 3.75 -5t + 5t            

25t = 3.75

25t/25 = 3.75/25

t = 0.15

Now we plug in the time into the Distances:

20t = 3.75 - 5t

20(0.15) = 3.75 - 5(0.15)

3 = 3.75 - 0.75

3 = 3

Solution as Sentence:

Carol Skied 3 miles

A department store sells a pair of shoes with an 87% markup. If the original price of the shoes was $103, what is the selling price of the shoes

Answers

Answer:

Step-by-step explanation:

103x.87=89.61

103+89.61=192.61

The required selling price of the shoes to the nearest dollar is $103. Step-by-step explanation: Given that a departmental store sells a pair of shoes with an 87% markup and the store bought the pair of shoes for $55.25.


Hope this helps !

what is 1/2(4x+14)=2(x-7)

Answers

Answer:

no solution

Step-by-step explanation:

1/2(4x+14)=2(x-7)

Multiply both sides by 2.

4x + 14 = 4(x - 7)

4x + 14 = 4x - 28

Subtract 4x from both sides.

14 = -28

Since 14 = -28 is a false statement, there is no solution for this equation.

Answer: no solution

Help me solve this problem please

Answers

I believe the answer is -12x, so sorry if that is incorrect.

Answer:

12x

Step-by-step explanation:

17x+(-5x)=17x-5x=12x

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