The number 74 can be factored as 2(37), so 74 is said to have two distinct prime factors. How many distinct prime factors does 210 have?

Answer:

a) 5/8

Step-by-step explanation:

f(-3) when f(x)=5(2)^x just replace the x with -3

f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times

2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :

if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5

5 × 1/8 = 5/8

Answer:

1.a: 6x = y

1.b: 7 packs

Step-by-step explanation:

1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.

1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.

Answer:

13.6 in (mrs clark)

Step-by-step explanation:

a²+b²=c²

16 + 169 = c²

c² = 185

c ≈ 13.6

Answer:

true sorry if wrong im not the best at this type of math but im average

Step-by-step explanation:

Answer:

942m³

Step-by-step explanation:

π×radius²×height

π×5²×12=942.4777961m²

to 3sf it's

942m³

3 significant figures is 3 numbers.

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer:

y axis

Step-by-step explanation:

the y coordinate changed

Answer:

Step-by-step explanation:

-3+7=4

x=4

Answer: -57

Step-by-step explanation: 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36, -39, -42, -45, -48, -51, -54, -57

It is decreasing by 3 each turn. Therefore, the 27th term would be -57.

Answer:

95 points

Step-by-step explanation:

Let P = Big Town's points

5/2 = P/38

2P = 190

P = 95 points

Answer:

y=6

Step-by-step explanation:

Isolate y by multiplying by 6

1*6=y/6*6

y=6

Check

6/6=1

Step-by-step explanation:

Here's the answer.

1=y/6

1*6=y

6=y

Please follow me if you think it's worth it and message me anytime you have a doubt.

Answer:

(x, y) = (8, -2)

Step-by-step explanation:

Substitute:

3(-4y) + 2y = 20

-12y + 2y = 20

-10y = 20

y = -2

x = -4(-2) = 8

Answer:

(11m-4)

Step-by-step explanation:

8m+3m=11m

6-2=4

Answer:49.5

Step-by-step explanation:

Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)

Answer:

Sometimes

Step-by-step explanation:

Example 1:

Take two numbers as [tex]7,8[/tex]

LCM of [tex]7,8=7(8)=56[/tex]

In this case, the lcm of two numbers is equal to the product of the two numbers.

Example 2:

Take two numbers as [tex]6,3[/tex]

[tex]6=3(2)[/tex]

So,

LCM of [tex]6,3=3(2)=6[/tex]

In this case, the lcm of two numbers is not equal to the product of the two numbers.

Therefore,

Sometimes, the lcm of two numbers is equal to the product of the two numbers.

Answer:

5x-85=10

Step-by-step explanation:

"85 less" indicates subtraction, "product of 5 and x" is multiplication. This means its 5x-85. The whole thing is equal to 10, so the equation is 5x-85=10

Answer:

1/32

Step-by-step explanation:

Answer: x=7 y=-8

Step-by-step explanation:

Answer:

  30√3 m ≈ 52 m

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.

The distance between the tree and the tower is about 30√3 m ≈ 52 m.

__

If you haven't memorized the ratios of this special triangle, you can use the relation ...

  Tan = Opposite/Adjacent

  tan(30°) = 30/d

  d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above

Answer:

3.7

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  2 years

Step-by-step explanation:

The interest formula is ...

  I = Prt . . . . interest rate r on principal P for t years

We can fill in the known values and solve for t.

  60 = 750·0.04·t

  60/30 = t = 2

The loan was repaid in 2 years.

Answer:

[tex]x>6[/tex]

Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March

Step-by-step explanation:

Given: Miles read 4 books in the first half of March.

Also, Miles read more than 10 books in a month.

[tex]x[/tex] denotes number of books read by Miles in the second half of March.

To find: inequality that describes the problem.

Solution:

Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March =  [tex]4+x[/tex]

Also, Miles read more than 10 books in a month.

Therefore,

[tex]4+x>10\\x>10-4\\x>6[/tex]