Jeremiah is factoring 0.64t^24 – 9 by using the rule a^2 – b^2 = (a + b)(a – b).
What will he use for the value of a?

A. 0.8t^12

B. 0.08t^12

C. 0.8

D. 0.64

Answers

Answer 1

Answer:

[tex]0.8\, t^{12}[/tex] (assuming that [tex]a \ge 0[/tex].)

Step-by-step explanation:

The rule [tex]a^{2} - b^{2} = (a + b)\, (a - b)[/tex] describes a way for factoring the difference between two perfect squares [tex]a^{2}[/tex] and [tex]b^{2}[/tex].

Setting [tex]a^{2} = 0.64\, t^{24}[/tex] and [tex]b^{2} = 9[/tex] would ensure that [tex](a^{2} - b^{2})[/tex] match the given expression.

Take the square root of both sides of the equality [tex]a^{2} = 0.64\, t^{24}[/tex]. Make use of the fact that for all [tex]x \ge 0[/tex], [tex]\sqrt{x} = x^{1/2}[/tex].

[tex]\displaystyle \sqrt{a^{2}} = \sqrt{0.64\, t^{24}}[/tex].

[tex]\begin{aligned} a &= \left(\sqrt{0.64}\right)\, \sqrt{t^{24}} \\ &= 0.8\, (t^{24})^{1/2}\\ &= 0.8 \, t^{24 \times (1/2)} \\ &= 0.8\, t^{12}\end{aligned}[/tex].


Related Questions


how do you solve this problem ??

Answers

Answer:

[tex]x=3c\sqrt{a} -b^2[/tex]

Step-by-step explanation:

[tex]\sqrt{a} =\dfrac{x+b^2}{3c}[/tex]

Multiply both sides by 3c:

[tex]\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}[/tex]

[tex]\implies 3c\sqrt{a} =x+b^2[/tex]

Subtract [tex]b^2[/tex] from both sides:

[tex]\implies 3c\sqrt{a} -b^2=x+b^2-b^2[/tex]

[tex]\implies 3c\sqrt{a}-b^2=x[/tex]

Switch sides:

[tex]\implies x=3c\sqrt{a} -b^2[/tex]


Frederick asked a bank teller to cash a $390 check using $20 and $50 bills. If the teller gave
him 15 bills, how many of each did he receive?

Answers

12 of $20 and 3 of $50 totally didnt edit it... lolol..

Answer:

12 $20 Bills & 3 $50 Bills

Step-by-step explanation:

Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.

Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.

Add $300 Bills with $90 Bills and you get $390.

If you add the number of bills handed it would be 15.

To which linear equations is the coordinate a solution?
Select two options.

y = 2x + 13

y=-x-2

y = 3x - 5 2. >4 -2 2. 4

y=-x+6 -2 .

y=-2x-2​

Answers

The linear equation y = -x - 2  and y = 2x + 13 form the solution (-5, 3)

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the coordinate (-5, 3) as a solution.

The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2

Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 14

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

View attached graph

Step-by-step explanation:

y = 2x + 13 and y = -x - 2

Hope this helps!

Which expression is equivalent to
(3/2p+1)(1/2p+3)

Answers

Answer:

3/4p²+5p+3

Step-by-step explanation:

[tex]\dfrac{3}{4}p^2+5p+3[/tex] is the correct answer on simplifying [tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)[/tex].

Simplification

Simplification of expression is to get an expression in the rearranged form.

How to simplify the arithmetic expression?

Simplify the given expression as-

[tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)=\dfrac{3}{4}p^2+3\times \dfrac{3p}{2}+\dfrac{p}{2}+3\\=\dfrac{3}{4}p^2+5p+3[/tex]

Thus, option C is the correct answer.

Learn more about arithmetic expression here- https://brainly.com/question/17722555

#SPJ2

James borrows 60000 dollars from a bank that charges interest at an annual rate of 5 percent, compounded monthly.
Calculate the monthly payment that James would have to make in order for the loan to be paid off after exactly 20 years.

Answers

Answer:

$395.97

Step-by-step explanation:

I need help with my fractions

Answers

Answer:

1 1/2

Step-by-step explanation:

2/3 + 5/6 = 32 = 1 12 = 1.5. Spelled result in words is three halves (or one and one half).

How do I do number 1

Answers

{twenty symbols text.... }

HELP ME PLEASE!!! A ball is thrown in the air from a platform that is 112 feet above ground level with an initial vertical velocity of 32 feet per second. The height of the ball, in feet, can be represented by the function shown where t is the time, in seconds, since the ball was thrown.


h(t)=−16t2+32t+112

Which of the following equations shows the function rewritten in the form that would be best used to identify the maximum height of the ball?


Question 16 options:


h(t)=−16(t−2)2+112


h(t)=−16(t−1)2+80


h(t)=−16(t−1)2+96


h(t)=−16(t−1)2+128

Answers

The ball thrown upwards follows a parabolic path

The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is [tex]h(t)=-16(t-1)^2+128[/tex]

How to determine the equivalent equation

The equation is given as:

[tex]h(t)=-16t^2+32t+112[/tex]

Factor out -16

[tex]h(t)=-16(t^2-2t)+112[/tex]

Express the bracket as a perfect square expression

[tex]h(t)=-16(t^2-2t + 1 - 1)+112[/tex]

Factor out -4

[tex]h(t)=-16(t^2-2t + 1)+112 + 16 * 1[/tex]

[tex]h(t)=-16(t^2-2t + 1)+128[/tex]

Express as a perfect square

[tex]h(t)=-16(t-1)^2+128[/tex]

Hence, the equivalent expression is [tex]h(t)=-16(t-1)^2+128[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Find the measure of x and y (NO LINKS OR REPORT)

Answers

Answer:

y= 35

x=55

Step-by-step explanation:

   

The parking garage is located 4 floors underneath ground level.

Answers

Answer:

Sometimes

Step-by-step explanation:

FBI agents use them I think

PLEASE HELP & SHOW WORK PLS..

Answers

92 48+48=92 it’s above ^ 2

A bakery has 56 donuts and 32 muffins for sale. What is the ratio of muffins to donuts?
A.
7 to 4
B.
1 to 4
C.
4 to 7
D.
4 to 1

Answers

Answer:

C. 4:7

Step-by-step explanation:

muffins 32

donuts 56

ratio of muffin to donut

= 32:56

= 16:28

= 8:14

= 4:7

Answer:

C. 4 to 7

Step-by-step explanation:

32:56

32÷8 = 4 and 56 ÷ 8 = 7

Smallest common factor is 8

A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 360 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview

Answers

Reducing the sample size to one-third, increases the error by √3.

Margin of Error

The margin of error is given by:

[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\where\ z_\frac{\alpha}{2} \ is \ the \ confidence\ level\ z\ score, \sigma\ is \ mean\ and\ n\ is\ sample\ size.\\\\n=360, hence:\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{360} } \\\\E=0.0527(z_\frac{\alpha}{2} *\sigma)\\\\For\ n = 1/3 * 360=120:\\\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{120} } \\\\E=0.09122(z_\frac{\alpha}{2} *\sigma)[/tex]

Reducing the sample size to one-third, increases the error by √3.

Find out more on Margin of Error at: https://brainly.com/question/10218601

Answer only 22 please

Answers

Answer:

147.3°

Step-by-step explanation:

[ 180 × ( n - 2 ) ] ÷ 11

= [ 180 × ( 11 - 2 ) ] ÷ 11

= ( 180 × 9 ) ÷ 11

= 1620 ÷ 11

= 147.273°

Model of car driven… is it qualitative or quantitative?

Answers

Answer:

ok so

Step-by-step explanation:

ok so if theres numbers its qualitative if it has to do with how it drives is quantitative

Evaluate (-A) 2 for A = 5, B = -4, and C = 2.

Answers

Answer:

=-10 or 25 depending on the placing of the 2

Step-by-step explanation:

(-A)2=(-5)x2=-10

(-A)^2=(-5)x(-5)=25

Use the long division method to find the result when 4x3 + 4x2 + 19x + 9 is
divided by 2x + 1.

Answers

Answer:

47x+42/2

Step-by-step explanation:

simplify 9/2

((19x+20)+(9/2×x))+1

(47x+40)/2+1

(47+42)/2

The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Find the perimeter of the triangle.

Answers

Step-by-step explanation:

6x+2x+10+8x-30= 16x-20= 4(x-5)

40% of perimeter = 1.6(x-5)

9/25

start fraction, 9, divided by, 25, end fraction of Polly's co-workers prefers tea over coffee.
What percent of Polly's co-workers prefer tea over coffee?

Answers

Answer: To convert a fraction to a percentage you multiply by 100.

(9 / 25) * 100

= 9 * 100/25

= 9 * 4

= 36%   answer

Step-by-step explanation:

Can someone please help me I’m stuck on this.

Round 0.3391 to
the thousandths place.

Answers

Answer:

.3390 or just .339

Step-by-step explanation:

the answer to your question is.. 0.339 :))

Which inequality represents this sentence?
Five plus four is less than ten plus two.
5 + 4 < 10 + 2
05 +4 > 10 + 2
0 5+4 < 10 + 2
o 10 + 2 < 5 +4

Answers

I think your first answer is correct

What is the first term of the arithmetic sequence?.

Answers

The number a is the first term, and d is the common difference of the sequence.

Answer: -4

second part is x=3 y=10 z=17

Step-by-step explanation:

edge 2023

The following triangular prism has a base that is a right triangle.


Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net. Use your net to calculate the surface area of the prism.

Answers

Answer:

The Answer is 175.86 cm^2

Step-by-step explanation:

4.3*5.2/2*2=22.36 cm^2

6.75*10=67.5 cm^2

10*4.3*2=86 cm^2

86+22.36+67.5=175.86 cm^2

Hoped this helped ^^

= 234.02

10 x 6.75 = 67.5 x 3 202.5

4.3 x 5.2 = 21.84  square root = 4.67

6.7/2 = 2 = 3.375

3.375 x 4.67 = 15.76

15.76 x 2 = 31.52

202.5 + 31.52 = 234.02

A 60 ounce glass bottle of juice sells for $4. 20 while a 1. 5 liter of the same juice sells in a plastic bottle for $3. 6. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces) a. The juice in the glass bottle is 1 cent cheaper per ounce. B. The juice in the plastic bottle is 1 cent cheaper per ounce. C. The juice in the glass bottle is 10 cents cheaper per ounce. D. The juice in the plastic bottle is 10 cents cheaper per ounce. Please select the best answer from the choices provided A B C D.

Answers

The answer is letter B.

Can u answer3 3/4 + 2 5/7

Answers

Answer:

[tex]6\frac{13}{28}[/tex]

Step-by-step explanation:

Add:

[tex]3\frac34 + 2\frac57[/tex][tex]\frac{15}{4} + \frac{19}{7}[/tex][tex]\frac{105}{28} + \frac{76}{28}[/tex][tex]\frac{181}{28}\\[/tex][tex]6\frac{13}{28}[/tex]

-Chetan K

3 3/4 = 15/4
2 5/7 = 19/7
105/28 + 76/28= 181/28 = 6 13/28

Write the ratio the 3 ways learned. A recipe uses 5 cups of water for
every 3 cups of flour.

Answers

Answer:

5:3

3:5

5 for 3

Step-by-step explanation:

Because for every 5 cups you get 3 cups

How do i solve this????

Answers

………………………………………………….

QUESTION
WORTH
20 POINTS!!! HELP ASAP PLEASE
why am i alive

Answers

Answer:

Cause you were born, as simple as that. Plenty of people deal with harsh life.

Step-by-step explanation:

That's not a math question BUT

If the question is why am I alive, I will answer it.

Although i am not a Christian(I deeply respect those who are, though),

I still believe there is an unnatural force that

selected you to be born and experience life for yourself.

If you are thinking about killing yourself, please call 800-273-8255

pls help! how would I solve this problem ?The figures shown are similar. Find the lengths of​ x, y, and z.

Answers

When looking at it, you can see that the location of the 9 and 12 are the same. So, you can solve by first finding the difference in the two. Turns out 12 is 4/3 times bigger than 9. So, divide each of your sides to figure out what each side is.
X = 17.25
Y = 18
Z = 17.25

Hope this helps :)

Find the solutions to the equation below.
Check all that apply
X^2-9=0
A X=-2
B. x= 3
C. x= -1
D. x= 2
Ex= 1
F. x= -3

Answers

We need to isolate x. We can do that by adding 9 to both sides which gives us x^2 = 9. Next, we can isolate x by taking the square root from both sides. This gives us x = 3. Additionally, x = -3 is also an answer because a negative squared becomes positive.

The answers are: x = 3, x = -3.
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