Solve 2x^2 = 72.
Question 1 options:
{±18}
{±36}
{±6}
{±8}

Answers

Answer 1

Answer: all you do is have to plug each option in for x
2*18^2=684
2*36^2=2592
2*6^2=72
2*8^2=128
So it's C.6

Answer 2

Answer: You divide both sides by 2 to get X^2=36. You then square root both sides to get X=6. The answer is d.6.

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-6x-14y=16 and -2x+7y=17 solve by elimination show the work
Multiple please please answer
If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? Use 3.14 for .

Which equation finds the volume of a cube with a side length of 6n^6 units? a. (2n^6)^3 = 8n^16 cubic units
b. (2n^6)^3 = 2n^18 cubic units
c. 2(n^6)^3 = 2n^18 cubic units
d. 2(n^6)^3 = 6n^18 cubic units

Answers

Answer:

Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

Step-by-step explanation:

We are given with length of the side of the cube = $2n^6\:units$

We need to find volume of the cube.

We know that Volume of cube = ( side )³

= $(2n^6)^3$

= $2^3(n^6)^3$

we use the law of exponent, $(x^a)^b=x^(ab)$

= $8n^(6*3)$

= $8n^(18)$ cubic units

Therefore, Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

I hope this helps you

College BoardThe number of hours of daylight, d, in Hartsville can be modeled by d = (35/3) + (7/3) (sin((2π/365)t)), where t is the number of days after March 21. The day with the greatest number of hours of daylight has how many more daylight hours than May 1? (March and May have 31 days each. April and June have 30 days each.)
A. 0.8 hr
B. 1.5 hr
C. 2.3 hr
D. 3.0 hr
E. 4.7 hr

Answers

Sincethis is an SAT Math Level 2 problem derivatives should not be requiredto find the solution. To find "How many more hours of daylight does theday with max sunlight have than May 1," all you need to understand isthat sin(x) has a maximum value of 1.

The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours

Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.

The difference is about 0.82 hours of sunlight.

Even though it is unnecessary for this problem, finding the actual maxsunlight day can be done by solving for t when d = 14, of by the use ofcalculus. Common min/max problems on the SAT Math Level 2 involve sinand cos, which both have min values of -1 and max values of 1, and alsopolynomial functions with only even powered variables or variableexpressions, which have a min/max when the variable or variableexpression equals 0.

For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps

Final answer:

In Hartsville, the summer solstice has about 1.5 hours more daylight than May 1.

Explanation:

The problem requires calculating the difference in daylight hours between the day with the longest day (also known as the summer solstice) and May 1. The summer solstice is typically around June 21, which is 92 days after March 21. We can find the number of daylight hours on this day by substituting t = 92 into the formula: d = (35/3) + (7/3) (sin((2π/365)*92)). This equals about 16.2 hours.

Next, we find the number of daylight hours on May 1, which is 41 days after March 21, by substituting t = 41 into the formula: d = (35/3) + (7/3)(sin((2π/365)*41)), which equals approximately 14.7 hours.

Then, we find the difference between the two by subtracting the daylight hours on May 1 from the daylight hours on the summer solstice: 16.2 - 14.7 = 1.5 hours. Therefore, the summer solstice has 1.5 hours more daylight than May 1.

Learn more about Mathematics here:

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How many straight lines are needed to divide a regular hexagon into 6 identical triangles

Answers

you would need 6 straight lines, doing a drawing is essential for this excersise

Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?a. $5,783.40
b. $1,820.70
c. $1,092.42
d. $6,554.52

Answers

After 6 years of having 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14, the value Carmen will receive in dividends is d. $6,554.52. This is the yearly dividend, so the value each of shares pays after 6 years is: $7.14 * 6 = $42.84. There are 153 shares and since each pays $42.84 after 6 years, the total value for all 153 shares after 6 years is: 153 * $42.84 = $6,554.52.

The total value of the dividends that Carmen receives from Cawh Consolidated Banks is $6,554.52.

What is the total value of the dividends received?

Multiplication is the mathematical operation that is used to determinet he product of one more numbers. The sign used to depict multiplication is x.

Total value of the dividends = dividend per year x number of years x number of shares owned

153 x 6 x $7.14 = $6,554.52

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Which two numbers add up to ___ and multiply to ___?1. multiply to -18 add to -17
2. multiply to 36 add to -13
3. multiply to -24 add to -5
4. multiply to -18 add to 7
5. multiply to -36 add to 9
6. multiply to 24 add to 10
7. multiply to 18 add to -9
8. multiply to -36 add to -16

I need help ASAP!

Answers

Ok so let's start :)

Ok so first one, numbers need to add to $-17$ AND multiply to $-18$
First of all you need to check the signs which stands near to those numbers. As you see there is $(-)$ next to both of them, it means that ONLY one number needs to be with $(-)$ sign. Why? There is short "instruction" which you need to remember:

$(-)*(-)=(+)$
$(-)*(+)=(-)$

If there are to signs next to each other, you can "change" them using "rules" below ;P

$(-)+(-)=(+)$
$(-)+(+)=(-)$

So it is possible to add two numbers with $(-)$ sign next to them which would be equal to $-17$ (for example $-5+(-12)$ but it is impossible to find two numbers which have $(-)$ sign next to them which will give you also negative number after multiplication :)

Ok it's enough theory for now, it should be much easier now :D

1. So you can multiply $1*-18$ which is $-18$
Also $-18+1$ which is $-17$

Rules above should help you to understand what I did below :) In case of any questions you can help me anytime :)

It's quite simple :)

1. $\ \boxed{-18\ AND\ 1}\ because\ -18+1=-17\ AND\ (-18)*1=-18$

2. $\ \boxed{-9\ AND\ -4}\ because\ -9+(-4)=-13\ AND\ (-9)*(-4)=36$

3. $\ \boxed{-8\ AND\ 3}\ because\ -8+3=-5\ AND\ (-8)*3=-24$

4. $\ \boxed{9\ AND\ -2}\ because\ 9+(-2)=7\ AND\ 9*(-2)=-18$

5. $\ \boxed{12\ AND\ -3}\ because\ 12+(-3)=9\ AND\ 12*(-3)=-36$

6. $\ \boxed{6\ AND\ 4}\ because\ 6+4=-10\ AND\ 6*4=24$

7. $\ \boxed{-6\ AND\ -3}\ because\ -6+(-3)=18\ AND\ (-6)*(-3)=18$

8. $\ \boxed{-18\ AND\ 2}\ because\ -18+2=-16\ AND\ -18*2=-36$

It's quite simple :)
1. $-18\ \&\ 1$ because $-18+1=-17$ AND $(-18)*1=-18$
2. $-9\ \&\ -4$ because $-9+(-4)=-13$ AND $(-9)*(-4)=36$
3. $-8\ \&\ 3$ because $-8+3=-5$ AND $(-8)*3=-24$
4. $9\ \&\ -2$ because $9+(-2)=7$ AND $9*(-2)=-18$
5. $12\ \&\ -3$ because $12+(-3)=9$ AND $12*(-3)=-36$
6. $6\ \&\ 4$ because $6+4=-10$ AND $6*4=24$
7. $-6\ \&\ -3$ because $-6+(-3)=18$ AND $(-6)*(-3)=18$
8. $-18\ \&\ 2$ because $-18+2=-16$ AND $-18*2=-36$

What is the difference between constructing and drawing geometric figures? Give a real-world example of each.

Answers

The difference between constructing and drawing geometric figures is that when constructing a geometric figure, you use compass, protractor, ruler, or any scale with accurate measurement while when drawing geometric figures, you just draw with free-hand. It is not exact in measures.

The difference between constructing and drawing geometric figures is as follows:

To construct geometric figure you use many tools like protractor, compass, ruler, scale, square, among others. So you need an accurate representation of the geometric figure. On the other hand, to draw a geometric figure you only need a pencil to do that. You don't need an accurate representation of the geometric figure.

A real-world example of each:

Think about an civil engineer who is constructing a building. He would need many tools to do that. In fact, he would need an building which is an accurate representation of the drawings he made using a software. He would need the accurate measurements and the correct location of each characteristic points of the building. So, this is the construction. On the other hand, when starting with the project, the civil engineer maybe took a paper and began drawing an sketch of his building, he only needed a pencil to do that, so this is the drawing made by hand.

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