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4 years ago

Factor the binomial 3v-48

Mathematics

2 answers:

lorasvet [3.4K]4 years ago

6 0

Answer:

3(v-16)

Step-by-step explanation:

3v-48 = 3(v-16)

divide 3v and 48 by 3

hjlf4 years ago

6 0

Answer:

3(v-16)

Step-by-step explanation:

Factor out a Greatest Common Factor or GCF

In this case, the GCF is 3

3v-48

3(v-16)

Hope this helps! :)

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The area of the circle is 249 square feet. find the diameter

bulgar [2K]

Answer:

2 x $\sqrt{\frac{249}{\pi } }$ ft or 17.8055 ft

Step-by-step explanation:

Area= $\pi r^{2}$

249= $\pi r^{2}$

Solve for r.

r= $\sqrt{\frac{249}{\pi } }$

Multiply by 2 to get diameter.

6 0

3 years ago

Growth Models 19515. In 1968, the U.S. minimum wage was $1.60 per hour. In 1976, the minimum wagewas $2.30 per hour. Assume the

VikaD [51]

In general, the exponential growth function is given by the formula below

$f(x)=a(1+r)^x$

Where a and r are constants, and x is the number of time intervals.

In our case, n=0 for 1960; therefore, 1968 is n=8,

$\begin{gathered} f(8)=a(1+r)^8 \\ \text{and} \\ f(8)=1.6 \\ \Rightarrow1.6=a(1+r)^8 \end{gathered}$

And 1976 is n=16

$\begin{gathered} f(16)=a(1+r)^{16} \\ \text{and} \\ f(16)=2.3 \\ \Rightarrow2.3=a(1+r)^{16} \end{gathered}$

Solve the two equations simultaneously, as shown below

$\begin{gathered} \frac{1.6}{(1+r)^8}=a \\ \Rightarrow2.3=\frac{1.6}{(1+r)^8}(1+r)^{16} \\ \Rightarrow2.3=1.6(1+r)^8 \\ \Rightarrow\frac{2.3}{1.6}=(1+r)^8 \\ \Rightarrow(\frac{2.3}{1.6})^{\frac{1}{8}}=(1+r)^{}^{} \\ \Rightarrow r=(\frac{2.3}{1.6})^{\frac{1}{8}}-1 \\ \Rightarrow r=0.0464078 \end{gathered}$

Solving for a,

$\begin{gathered} r=0.0464078 \\ \Rightarrow a=\frac{1.6}{(1+0.0464078)^8}=1.113043\ldots \end{gathered}$

a) Thus, the equation is

$\Rightarrow f(n)=1.113043\ldots(1+0.0464078\ldots)^n$

b) 1960 is n=0; thus,

$f(0)=1.113043\ldots(1+0.0464078\ldots)^0=1.113043\ldots$

The answer to part b) is $1.113043... per hour

c)1996 is n=36

$\begin{gathered} f(36)=1.113043\ldots(1+0.0464078\ldots)^{36} \\ \Rightarrow f(36)=5.6983\ldots \end{gathered}$

The model prediction is above $5.15 by $0.55 approximately. The answer is 'below'

4 0

1 year ago

A grocer is mixing 40 cent per pound coffee with 60 cent per pound coffee to make a mixture worth 54 cents per

Grace [21]

It’s definitely 50 :)

7 0

4 years ago

Can you help me answer this question

r-ruslan [8.4K]

Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
$\frac{\frac{A}{B} }{\frac{C}{D}}=\frac{A}{B} *\frac{D}{C}$
i suggest you try to remember this concept

in terms of your question

$\frac{\frac{4c-12}{4c+8}}{\frac{c-3}{c^2-4}}= \frac{4c-12}{4c+8} *\frac{c^2 -4}{c-3}$

from this point, just multiple the numerators together and denominators together, then simplify if necessary

fyi- difference of squares
$x^2-b^2 = (x-b)(x+b)$
relating that to
$c^2-4 = c^2 -2^2 = (c-2)(c+2)$

also a side note, you might want to factor out the 4 first in the top fraction

4 0

4 years ago

A veterinarian’s assistant made a table that shows the animals seen in the office in one week. What is the probability that the

horsena [70]

Answer:

The probability that the pet seen was sick is 53.57%.

Step-by-step explanation:

The probability of an event E is the ration of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = number of favorable outcomes

N = total number of outcomes

Denote the events as follows:

C = the pet is a cat

D = the pet is a dog

O = the pet is some other animal

S = the pet is sick.

The data provided is summarized as follows:

n (C) = 28

n (C ∩ S) = 3

n (D) = 42

n (B ∩ S) = 4

n (O) = 24

n (O ∩ S) = 8

Compute the probability that a cat was sick as follows:

$P(C\cap S)=\frac{n(C\cap S)}{n(C)}=\frac{3}{28}$

Compute the probability that a dog was sick as follows:

$P(D\cap S)=\frac{n(D\cap S)}{n(D)}=\frac{4}{42}=\frac{2}{21}$

Compute the probability that another animal was sick as follows:

$P(O\cap S)=\frac{n(O\cap S)}{n(O)}=\frac{8}{24}=\frac{1}{3}$

Compute the probability that the pet seen was sick as follows:

P (S) = P (C ∩ S) + P (D ∩ S) + P (O ∩ S)

$=\frac{3}{28}+\frac{2}{21}+\frac{1}{3}\\=\frac{9+8+28}{84}\\=\frac{45}{84}\\=0.5357$

Thus, the probability that the pet seen was sick is 53.57%.

8 0

4 years ago

Read 2 more answers

Factor the binomial 3v-48​

Factor the binomial 3v-48