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3 years ago

Factor the expression 3b+18b+21

Mathematics

1 answer:

GrogVix [38]3 years ago

3 0

Answer:

21b+21

Step-by-step explanation:

1. simply, combine like terms

3b t 18b +21

add 3b and 18b

it gives u 21b +21

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I’ve been stuck on this question for awhile and i can’t answer it

vfiekz [6]

Answer:

PEMDAS.

parenthesis first, then exponents, next would be mutiplication/division, then lastple add/subtract.

Step-by-step explanation:

first would be 15-7, then the 3^2, etc

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2 years ago

Explain how you can determine the sign of an integer quotient without dividing.

umka2103 [35]

Use multiplication. Say you need to divide 56 by 8. You'd attempt to find the multiples of 8 and find the clear answer of when 56 comes around. It obviously wouldn't be 1, because that's 8.. nor would it be 2, 3, 4, or 5.. so that's where the actual multiplication and finding the number starts. You need to try multiple numbers in order to find the answer. The answer would be 7. See, you just found out the answer without even dividing. :))))

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3 years ago

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of

rusak2 [61]

The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

$\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1$

Now plug x = a - 5 = 30 - 5 = 25

$\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1$

After solving:

$\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}$

$\rm y^2=\dfrac{6875}{36}$

y = ±13.819 ≈ ±13.82

Height cannot be negative

y = 13.82 feet

Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

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2 years ago

Lance Rice has decided to invest $1,200 quarterly for eight years in an ordinary annuity at 4%. The total cash value of the annu

Likurg_2 [28]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]
\\\\$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}\begin{array}{llll}\end{array}\\
pymnt=\textit{periodic payments}\to &1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, meaning }
\end{array}\to &4\\

t=years\to &8
\end{cases}
\\\\\\
A=1200\left[ \cfrac{\left( 1+\frac{0.04}{4} \right)^{4\cdot 8}-1}{\frac{0.04}{4}} \right]$

6 0

3 years ago

suppose the cooking time for a particular recipe varies inversely with the temperature of the oven. if the recipe takes 60 minut

Zielflug [23.3K]

Answer:

It would take 34.29 minutes at 200 degree.

Step-by-step explanation:

Given that,for a particular recipe the cooking time(t) varies inversely with the temperature(T) of the oven.

t∝T

$\therefore \frac{t_1}{t_2}=\frac{T_1}{T_2}$