5a + 5b + 5c + 5d Which expression is another way to write the expression shown here?

The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is th

MArishka [77]

Answer:

The height of the triangle is: $H = (5x^2 + x +3)$

Step-by-step explanation:

Here, the area the triangle is given as: $15x^4 + 3x^3 + 4x^2 - x - 3$

Also, base of the triangle = $(6x^2 -2)$

Let us assume the height of the triangle = H units

Now, AREA of TRIANGLE = $\frac{1}{2} \times B \times H$

$\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2} \times ( 6x^2-2) \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}$

Solving by LONG DIVISION, we get:

$H = (5x^2 + x +3)$

Hence, the height of the triangle is: $H = (5x^2 + x +3)$

6 0

4 years ago

(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of t

marusya05 [52]

Answer:

Step-by-step explanation:

The answer is 3

6 0

3 years ago

Can someone help me with this question?

belka [17]

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

$P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......$

where, n = number of trials (samples) taken = 12 people

r = number of success = 6 survived

p = probability of success which in our question is probability of

one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

P(X = 6) = $\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}$

= $924 \times 0.20^{6} \times 0.80^{6}$

= 0.0155

5 0

4 years ago

Isabella types 525 words in 5 minutes. What is Isabella's typing rate in words per minute?

denis-greek [22]

Answer:

105 wpm

Step-by-step explanation:

Divide 525 by 5 and you have Isabella's typing rate in words per minute: 525

Hope this helps :)

Brainliest?

5 0

3 years ago

Read 2 more answers

The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).

kifflom [539]

Answer:

3x^2 + 8

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

=f(x^2) ( From equation (2) )

=3x^2 + 8 ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0

4 years ago