Write 78 as a product of prime factors

Answer:

C

Step-by-step explanation:

So we have a cylinder with a hole the shape of a rectangular prism through it.

Therefore, our total volume would be the cylinder minus the volume of the rectangular prism.

The volume of a cylinder is given by the formula:

[tex]V=\pi r^2h[/tex]

Use 3.14 for π, 10 for radius, and 15 for the height. Thus:

[tex]V=(3.14)(10)^2(15)\\V=4710[/tex]

So the volume of the cylinder is 4710 cubic feet.

Now, find the volume of the rectangular prism.

The formula for the volume of a rectangular prism is given by:

[tex]V=lwh[/tex]

The length is 5, width is 3, and height is 15. Thus:

[tex]V=(5)(3)(15)\\V=225[/tex]

So, the total volume is:

[tex]V_{\text{Total}}=V_{\text{Cylinder}}-V_{\text{Rectangle}}\\V_{\text{Total}}=4710-225=4485\text{ feet}^3[/tex]

Our answer is C

Answer:

45

Step-by-step explanation:

Answer:

A)y ± [tex]t_{21}[/tex] ( 1.29 )

B) y ± 2.58

C ) yes

Step-by-step explanation:

standard error = 1.29 bushels

approximate width of 95% prediction interval for an individual can be represented as ;  [tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )

[tex]t_{n-k-1} = critical value of t at n-k-1[/tex] degree of freedom

n = 26

k = 4

a) Approximate width of a 95% prediction interval for wheat yield

[tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )

Insert the values into the equation

n - k -1 = 26 - 4 - 1 = 21

y ± [tex]t_{21}[/tex] ( 1.29 ) you can get the value of [tex]t_{21}[/tex] from the t table for 21 degrees at 0.05 significance level

B)  The approximate width using the quick rule

y ± 2SE

y ± 2(1.29) = y ± 2.58

C) The quick rule gives a similar result = yes

Answer:

40 tablets

Step-by-step explanation:

What we want to do is find how many mg of antihistamine you can take in a week.

If you can take 19mg in 6 hours, that means you can take [tex]19\cdot4=76[/tex]mg per day (because [tex]24\div6=4[/tex], so you can take 19mg every 6 hours 4 times in a day.)

There are 7 days in a week, so you can take [tex]76\cdot7=532[/tex] mg per week.

Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be [tex]532\div13.2[/tex], which is approximately equal to 40.

So you can take 40 tablets in a week if you are 100 pounds.

Hope this helped!

Answer:

Step-by-step explanation:

b. A​ 100-pound person could take

enter your response here mL in a week.

​(Round to the nearest whole number as​ needed.)

Answer:

157

Step-by-step explanation:

First, let's subsitute a and f.

6(2)^2 + 4(4) - 3

Remeber the order of operations. Paranthesis, exponents, multiply, divide, add, subtract.

12^2 + 16 - 3

144 + 16 - 3

157 is the answer. Hope this helps!!!!!!

Step-by-step explanation:

Area of circle

[tex] = \pi {r}^{2} [/tex]

r = radius of the circle

Answer:

[tex]\pi[/tex]r²

Step-by-step explanation:

A=[tex]\pi[/tex]r²

Answer:

Step-by-step explanation:

15 + 10 = 25

HI = 25

Answer: 5

Step-by-step explanation:

Answer:

1. 0.3

2. Relative frequency

Step-by-step explanation:

We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues

n = sample space of public buildings = 10

F = frequency = 3

P(A) = 3/10 = 0.3

Therefore 0.3 is the approximate probability of another building having same issues

Question 2 says we should find method used to assign probability

The method used is relative frequency method and it is determined by:

P(A) = frequency(f)/total number of data values(n).

Answer:

It would tske to long for me to break it down but my best bet is B

Step-by-step explanation:

Answer:

837 sq. ft

Step-by-step explanation:

area of garden = area of rectangle + area of semicircle

area of rectangle = 20 X 34 = 680 sq. ft

area of semicircle  = 1/2 X 3.14 X 100 = 157 sq.ft

area of garden = 837 sq. ft

i am 1 brainly away from virtuoso, your help would be appreciated

Answer:

speed in m/s=0.01822 metre/s

Step-by-step explanation:

Conversation rate of mm to m is

1000 mm = 1 metre

820 mm= 820/1000

829 mm= 0.82 metres

Conversation rate of minutes to second

I minute = 60 seconds

0.75 minute = 60*0.75 seconds

0.75 minute= 45 seconds

speed in m/s= 0.82 metres/45 seconds

speed in m/s= 0.82/45

speed in m/s=0.01822 metre/s

Answer:

Segment GH = 29 ft

Step-by-step explanation:

Point F bisects segment GH means that the segment GH is being divided into two by point F.

If GF = 14 1/2 feet

Since point F divides GH into two, multiplying GF by two will give segment GH

GH= 2GF

GH= 2(14 1/2

GH= 2(29/2)

GH= 29 ft

Segment GH = 29 ft

Step-by-step explanation:

2,300×3÷7=985.71 The amount of money saved

2300×1÷10=230the amount of entertainment

985.71+230=1215.71 total

1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money

The income that he plan to spend each month on these two items together is 0.5285.

A fraction represents a part of a number or any number of equal parts.

Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.

We need to find the income that he plan to spend each month on these two items together.

The amount of money saved;

2,300×3÷7 = 985.71

The amount of entertainment;

2300×1÷10=230

The total 985.71 + 230 = 1215.71

Now, Entertainment money + reserve money ÷ total money

1215.71÷2300 = 0.5285

The income that he plan to spend each month on these two items together is 0.5285.

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Answer:

x=28 (pounds) * 1/3

Step-by-step explanation:

28/3 gives you 1/3 of the shipment weight.

Answer:

25

Step-by-step explanation:

We can use the Pythagorean Theorem to find the value of x,

The Pythagorean Theorem states that [tex]a^2 + b^2=c^2[/tex], where a and b are the legs and c is the hypotenuse.

We already know a and b’s value so we can substitute inside the formula to find the length of the hypotenuse.

[tex]24^2+7^2=c^2\\\\576+49=c^2\\\\625=c^2\\\\c=25[/tex]

Hope this helped!

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

27)18198(674

    162

  -

    --------

     199

     189

   -

    ---------

        108

        108

      -

       ------

          0

        ------

Answer:

-44.1 is a real and complex number

Step-by-step explanation:

Answer:

y = 10 CDs

Step-by-step explanation:

30 divided by 3 equals 10

10 times 3 equals 30

Answer:

first blank is y/3

second blank is 10

Step-by-step explanation:

Answer: 20+7b

Step-by-step explanation:

Given

 (6+7b)+14

Take off parentheses

=6+7b+14

Move like terms together (Commutative property)

=6+14+7b

Combine like terms

=20+7b

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]\huge\boxed{ answer}[/tex]

[tex]\blue\star[/tex]6 + 7b + 14 = 0

[tex]\blue\star[/tex]7b + 20 = 0

[tex]\blue\star[/tex]7b = - 20

[tex]\blue\star[/tex]b = -20\7

[tex]\star[/tex]simplified form

[tex]\blue\star[/tex](6 + 7b) +14

firstly remove the brackets.

[tex]\blue\star[/tex]6 + 7b +14

seprate terms and variables

[tex]\blue\star[/tex] 7b +20

[tex]\huge\boxed{7b + 20}[/tex]

Hope it helps..

Answer:

17y^2+19

Step-by-step explanation:

sum means add

Answer:

19+ 17y²

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

Answer:

opposite of -18.6=18.6

Answer:

-5b^4 - b^3

Step-by-step explanation:

-b^3 (3b + 1) – 2b^4​

Distribute

-3b^4 - b^3 -2b^4

Combine like terms

-5b^4 - b^3

f ' ( x ) = 1 ( x + 1 ) 2

Explanation:

differentiating from first principles

f ' ( x ) = lim h → 0

f ( x + h ) − f ( x ) h

f ' ( x ) = lim h → 0

 x + h x + h + 1 − x x + 1 h

the aim now is to eliminate h from the denominator

f ' ( x ) = lim h =0  

( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )

f ' ( x ) = lim h → 0

 x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )

f ' ( x ) = lim h → 0

h 1 h 1 ( x + 1 ) ( x + h +1 )

f ' ( x ) = 1 ( x + 1 ) 2

Answer:

Step-by-step explanation:

[tex]r = 4.5\\\pi = 3.14\\\\V = ?\\\\Volume = \frac{4}{3} \pi r^3\\\\V= \frac{4}{3} \times 3.14 \times (4.5)^3\\\\V = \frac{4}{3} \times 286.1325\\\\V = \frac{1144.53}{3} \\\\V = 381.51\\\\Volume = 381.51 \: inches^3[/tex]

1. 4 inside angles must sum to 360:

X = 360-45-65-95 = 155

2. All the outside angles must sum

To 360:

2x + 70+ 86 + 9 = 2x + 248

2x = 360-248

2x = 112

X = 112/2 = 56

3. Sum of interior angles for 6 sides figure = 720.

X = 720 - 90-120-130-140-150

X = 90

4. Exterior angles sum to 360

4x +x + 98 + 162 = 360

5x + 260 = 360

5x = 100

X = 100/5

X = 20

Answer:

70,523

Step-by-step explanation:

This is standard form there no way to show.

All numbers between -8 and 2 are integers except 0

All the integers between - 8 and 2 are,

{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The numbers is,

⇒ - 8 and 2

Now, All the numbers between - 8 and 2 are,

⇒ - 7, - 6, - 5, - 4, - 3, - 2, - 1, 1

Thus, All the integers between - 8 and 2 are,

{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.

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Step-by-step explanation:

A no. is divisible by four if the last two digits is a multiple of 4

04 is a multiple of four

Answer:

M = 1/18

Step-by-step explanation:

The slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Given that, Sonia is walking 2.5 miles home from school.

She left at 4:00 pm and got home at 4:45 pm. She took 45 minutes to get there.

We can interpret the information as two points, the first one is (0,0) that represents the starting point. The second point is (45, 2.5), which represents the ending point when she arrived home. Let's graph these points and draw a line through them.

To find the slope, divide 2.5 miles by 45 minutes,

Thus, slope =2.5/45

m= 1/18 miles per minute

Therefore, the slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.

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