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3 years ago

Solving Exponential Equations (lacking a common base) 2^y=18

Mathematics

1 answer:

SOVA2 [1]3 years ago

3 0

Answer:

y = 4.17

Step-by-step explanation:

ln both sides

ln(2^y) = ln18

yln2 = ln(3²×2)

yln2 = ln2 + 2ln3

y = 1 + 2ln3/ln2

y = 4.17

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Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

5 0

3 years ago

What is the value of x? Enter your answer in the box. units

Arte-miy333 [17]

Check the picture below.

6 0

4 years ago

What is the square root of 108 in simplified radical form?

Alenkinab [10]

$\sqrt{108}=\sqrt{36 \times 3}=\sqrt{36} \times \sqrt{3}=6 \times \sqrt{3}=\boxed{6\sqrt{3}}$

5 0

3 years ago

Will give brainliest answer

vova2212 [387]

Answer:

pls I'll send you the answer tomorrow

5 0

3 years ago

On a piece of paper, graph y < 3/4 x+2 Then determine which answer matches the graph drew.

OleMash [197]

Step-by-step explanation:

Given inequality is $y$ .

To graph that inequality, first we need to graph the line $y=\frac{3}{4}x+2$ . Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into $y=\frac{3}{4}x+2$ , we get:

$y=\frac{3}{4}*0+2=2$

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

$y=\frac{3}{4}*4+2=5$

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into $y$ .

$0$

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;

3 0

3 years ago