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The volume of the hexagonal prism is the amount of space in the prism

The volume of the hexagonal prism is 325 cubic units

The given parameters are:

Base area = 25 square units

Height = 13 units

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = 25 * 13

Evaluate the product

Volume = 325

Hence, the volume of the hexagonal prism is 325 cubic units

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Answer:

Step-by-step explanation:

I need help

Answer: -12x^2 + 4x

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

does it come with the picture??

45+90+unknown=180

135+u=180

u=45

so that,

x=15

Answer:

Step-by-step explanation:

The ratio of sides of 45 - 45 -90 triangle is

1 : 1 : √2

This is an isosceles triangle. So, the sides opposite to equal angles (45°) are equal.

∵ x = 15

Answer:

Step-by-step explanation:there are 3 reds each so maybe try multipling those into the 12 for the red..it would look like this 6x12=72

and the do the same with the blue 4x6=24

Then we’ll try and add it together 72+24=96

Answer:

0.635 in

Step-by-step explanation:

Divided 2.54 by 4

The number of months that tara can send her payments for the Loan is; 18 months

We are told that;

Tara has to pay $25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

For us to find the number of months she can pay the loan, we will apply the unitary method as;

$25 she can pay in 1 month

The number of months to pay $1 is; 1/25 months

The number of months to pay $450 is; (1/25) * 450 = 18 months.

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Answer:

C. Slope-Intercept Form

Step-by-step explanation:

The formula for the Slope-Intercept Form is y=mx+b, where m is the slope and (0,b) is the y-intercept. This equation follows y=mx+b, so C is your answer

Answer:

C. Slope-Intercept form

Step-by-step explanation:

^

Answer:

x=15° this is the answer

Answer:

52

Step-by-step explanation:

[tex]r^{2} -14+8p[/tex]

Substitute values given:

[tex](8)^{2} -14+8(\frac{1}{4} )[/tex]

Simplify:

64-14+2

50+2

52

Therefore 52 is our answer

Answer:

56

Step-by-step explanation:

if r = 8 than r to the second power is 8 to the second power (or 8x8) which equals 64

64 - 14 + 8p

If p + 1/4 = 2

64 - 14 + 2

54 + 2

56

= 20/60  x 100 = 33.3

Answer:

♦LCM of 5 and 20 is 20.

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If the equal is 55x + 35y = 200

x: time-driven at 55 miles/hour

y: time-driven at 35 miles/hour

If the car spends 2.5 hours at 35 miles per hour, then it drove:

 55x + 35(2.5) = 200

    55x =35

       y = 112.5

There the drive spent about 2.5-hour driving at 55 mph.

Hope it helps!

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Answer:

34

Step-by-step explanation:

I have done this before

Answer:

Step-by-step explanation:

Answers in the order as shown

34

20

8

55

29

28

50

61

4

60

Answer:

Trish is going to return from camp September 3rd, 2022.

Step-by-step explanation:

Okay! note: (There are 31 days in july)

July 15th+10 days=July 25th

July 25+6=July 31st

July 31st+1 day= August 1st

(17 days done so far)

August 1st+30 days=August 31st

(47 days done)

August 31st+1 day=September 1st

September 1st+2 days= September 3rd

I got the answer by breaking up the 50 days into smaller parts and adding them. Make sure you know how many days are in the months so you don't get too confused.

The considered decimal number is expressed by the fraction given by: Option C: 4/33

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]

The series would look like [tex]a+ ar+ ar^2+\cdots[/tex]

For the considered case, the given decimal number is

[tex]0.\overline{12} = 0.121212\cdots[/tex]

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

[tex]0.12121... = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )[/tex]

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
[tex]0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212... = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}[/tex]

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

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Answer:

4/33

Step-by-step explanation:

Option C

Answer:

Here

Step-by-step explanation:

Domain : (-∞,∞)

Range : (-∞,∞)
Both functions generally are the same and yes both are functions.

One is the data set of a function and one is the equation...

Sorry if this isn't what you were looking for...

The easiest way to find the line parallel to 3x -2y =5 through (1,2), we must set 3x - 2y = 5 into slope-intercept form

   [tex]3x-2y =5\\-2y = -3x+5\\y = \frac{3}{2}x-\frac{5}{2}[/tex]

In slope-intercept form, y = mx + b, m is the slope. For two lines to be parallel, their slopes must be equal.

Thus the new line that is parallel to 3x - 2y = 5 must also have a slope of (3/2)x

    [tex]y= \frac{3}{2} x+b[/tex]

To find b, we must plug in (1,2)

   [tex]2 = \frac{3}{2}*1 + b\\b = \frac{1}{2}[/tex]

Thus the equation that is parallel to 3x-2y = 5 and passes through (1,2) is [tex]y = \frac{3}{2}x+\frac{1}{2}[/tex]

Hope that helps!

Answer:

3/2x+1/2

Step-by-step explanation:

just took on progress learning and was correct:)

Answer:

960m²

Step-by-step explanation:

½(12)(8)

=48

48×20

=960m²

Answer:

x = -3/2

Step-by-step explanation:

1. Cancel out log from both sides -> 16^n = 1/64

2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)

log16(1/64) = -3/2

The circumference of a circle is its perimeter.

We can solve for the circumference using the following formula:

We're given:

Plug the given information into the formula for circumference:

[tex]C=2\pi r\\C=2\pi (14)\\C=28\pi[/tex]

Therefore, the circumference of the circle is 28π cm.

Replace π with [tex]\dfrac{22}{7}[/tex]:

[tex]C=28\pi\\\\C=28*\dfrac{22}{7}\\\\C=4*22\\C=88[/tex]

Therefore, the circumference of the circle with [tex]\pi=\dfrac{22}7}[/tex] is 88 cm.

Answer:

(7+z) - y

Step-by-step explanation:

Answer: The final balance is $81,551.47.

The total compound interest is $43,551.47.

I hope this helps<3

Answer: y=-3x+20

Step-by-step explanation: