All categories

3 years ago

Factor 75t2 + 12. 3(5t + 2)2 3(25+2 +4) 3(251-4)

Mathematics

1 answer:

frosja888 [35]3 years ago

4 0

Answer:

$75t^2+12=3(25t^2+4)$

Option C)

Step-by-step explanation:

Here we are given with the expression $75t^2+12$

The GCF of $75t^2$ and 12 is 3

Hence we take 3 as GCF and bring it in front of the bracket.

$3(25t^2+4)$

It can not be factorise furthure as there is no GCF of 25 and also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be

$3(25t^2+4)$

Option C)

You might be interested in

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

2 years ago

Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2

Serjik [45]

Answer:

next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term

Step-by-step explanation:

4 0

2 years ago

. A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at ran

SOVA2 [1]

Answer:0.565

Step-by-step explanation:

Hat contain 100 coins out of which 99 is fair and one is double headed.

Probability of getting 7 heads is sum of Head through fair coin+heads through biased coin

Probability of getting a head through a fair coin=0.5

$P(7 heads)=0.99\times 0.5^7+0.01\times 1$

$P(Double head |7 heads )=\frac{Probability\ of\ 7\ heads\ and\ double\ headed}{probability\ of\ 7\ heads}$

$P(Double head |7 heads )=\frac{0.01\times 1}{0.99\times 0.5^7+0.01\times 1}$

$=\frac{0.01}{0.99\times 0.0078+0.01}=0.565$

8 0

2 years ago

What is the volume of a cylinder when the radius is 3 and height is 7

kap26 [50]

Answer:

63pi

Step-by-step explanation:

the formula for the volume of a cylinder is pi r^2 h

r=radius

h=height

3=r

7=h

pi((3)^2)7

63pi units^3

Hope that helps :)

5 0

2 years ago

Read 2 more answers

Line AB goes through the points (0,-4) and B (6,2). Which equation represents line AB?

katrin [286]

The answer is y = x - 4. The points already have the y-intercept which is -4, and to solve for the slope you must do 6-0 divided by 2 - (-4) which is equal to 6/6 which is equal to 1.

4 0

2 years ago