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3 years ago

Which of these describe a scenario in which the given quantity changes at a constant rate with respect to time? Select

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Answer: A,B

Step-by-step explanation: the numbers constantly add up only by 218 or 1240 , C and D would not be correct because the rate of change increases as will with the total sum after each period of time

also tiny hint, if you were to draw an X,Y axis graph, A and B would be a straight line while C and D are curved up-wards

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If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers

USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed

Anni [7]

Answer:

Let the total distance Aileen ran be 'x'

Let the distance ran by Andrew be 'y'

Refer to graph attached for graphical representation of distance travelled by both.

Applying the formula,

distance=speed*time

x=20*t Equation 1

y= 15*t equation 2

Since it can be easily understood by the graph attached, that

x=150+y equation 3

Now putting values of x and y in equation 3

20*t =150 +15*t.

5t= 150

t=30 seconds.

putting the values of t in both the equation 1 and 2

x=20t

=20*30

x = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

Step-by-step explanation:

Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)

7 0

2 years ago

You and three of your friends go out to dinner during the break.the check comes to 131.85$ you all decide to leave a 20% tip for

almond37 [142]

Answer:

$105.48

Step-by-step explanation:

Multiply 131.85 by 0.2 to get 20% of 131.85.

You will get 26.37.

Since it is 4 people, multiply by 4.

You will get $105.48.

4 0

3 years ago

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The following expressions are factorizations of 60. Which is the prime factorization?

Sholpan [36]

Answer:

Step-by-step explanation:

You dont help people you give bs answers

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2 years ago

Can you guys graph a system of equations and make sure it has two parabolas with the same vertex and a line that crosses the sam

Andrews [41]

Answer:

Sketch the following three graphs:

1) y = (x - 5)²

2) y = -(x - 5)²

3) y = x - 5

First two are parabolas with vertex at (5,0)

Third one is a line which intersects both the parabolas as (5,0)

6 0

3 years ago

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