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andrew-mc [135]
2 years ago
8

5 increased by t operation and algebraic expressions

Mathematics
1 answer:
lina2011 [118]2 years ago
8 0

The phrase "5 increased by t" written in algebraic expression is (5 + t).

<h3>Algebra</h3>

  • 5 increased by t

can be written as

(5 + t)

For instance,

if t = 25

(5 + t)

= 5 + 25

= 30

Therefore, the phrase "5 increased by t" written in algebraic expression is (5 + t).

Learn more about algebra:

brainly.com/question/4344214

#SPJ1

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Which expression is equivalent to 3√x^5?
Elanso [62]
∛x^5 y
= (x)^5/3 y^1/3

answer
B. second option

6 0
3 years ago
Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e
svet-max [94.6K]

ANSWER

y = 2x -4

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

x = 5 +  ln(t)

y =  {t}^{2}  + 5

From the first equation we make t the subject to get;

x - 5 =  ln(t)

t =  {e}^{x - 5}

We put it into the second equation.

y =  { ({e}^{x - 5}) }^{2}  + 5

y =  { ({e}^{2(x - 5)}) }  + 5

We differentiate to get;

\frac{dy}{dx}  = 2 {e}^{2(x - 5)}

At x=5,

\frac{dy}{dx}  = 2 {e}^{2(5 - 5)}

\frac{dy}{dx}  = 2 {e}^{0}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5)

y = 2x - 10 + 6

y = 2x -4

Without eliminating the parameter,

\frac{dy}{dx}  =  \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }

\frac{dy}{dx}  =  \frac{ 2t}{  \frac{1}{t} }

\frac{dy}{dx}  =  2 {t}^{2}

At x=5,

5 = 5 +  ln(t)

ln(t)  = 0

t =  {e}^{0}  = 1

This implies that,

\frac{dy}{dx}  =  2 {(1)}^{2}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5) =

y = 2x -4

5 0
3 years ago
2/5of a number is 80. What is 34of the same number?
Masja [62]

Answer:

150

Step-by-step explanation:

First you have to find what number 80 is 2/5 of, to do this do the reciprocal of 2/5 which would be 5/2. Multiply 80 by 5/2 and you'll get 200, then find what 3/4 of 200. Multiply 200 by 3, then divide by 4 to get the answer of 150.

3 0
3 years ago
Please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh
almond37 [142]
The probability of an 8th grader winning is : 14/42 which reduces to 1/3

the simulation would be : # 3 <====

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one section representing 9th graders...so their is 7 of them
2 sections representing 8th graders....so their is 7 * 2 = 14 of them
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7 0
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X² - 4x + 4 = 0
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the answer is a
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3 years ago
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