Solve the following exponential equation:

5^x=2

e^x=10​

Answers

Answer 1

Number 1.

[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,

[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]

Number 2

[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,

[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]


Related Questions

57846*3746 help please

Answers

Answer:216691116

Step-by-step explanation:

Answer:

216,691,116

Step-by-step explanation:


-6+ (-19) =
Evaluate

Answers

The answer if you need helo with math like this come to me -25

What is the length of CB in ABC

Answers

There needs to be values to answer the question.

the equation p=1.5r graphed find price p, in dollars for r pounds of rice

Answers

Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cereal contain more than 368 grams of cereal? Test hypothesis at the 5% significance level, outline all steps involved. (9mks)​

Answers

Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:

[tex]H_0: \mu \leq 368[/tex]

At the alternative hypothesis, it is tested if it contains, that is:

[tex]H_1: \mu > 368[/tex]

We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

In this problem, the values of the parameters are: [tex]\overline{x} = 372.5, \mu = 368, s = 15, n = 25[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}[/tex]

[tex]t = 1.5[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of [tex]t^{\ast} = 1.71[/tex].

Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

You can learn more about the use of the t-distribution to test an hypothesis at https://brainly.com/question/13873630

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Answers

Answer:

60 yards

Step-by-step explanation:

300 = 2(30 + w) + 2(w)

300 = 60 +2w + 2w

300 = 60 + 4w

240 = 4w

60 = w

Amare runs 1\10 mile in 2\3 minute. What is his speed in miles per minute? Show your work

Answers

Answer:

60

Step-by-step explanation:

Solve using substitution.
X = 1
6x + y = 1

please help

Answers

Answer:   (1,-5)

In other words, x = 1 and y = -5

=====================================================

Work Shown:

6x + y = 1

6(1) + y = 1

6 + y = 1

y = 1-6

y = -5

The solution as an ordered pair is (1,-5)

Notice I started with the second equation and substituted in the first equation. The idea is to somehow reduce the two variables into one variable, so you can solve for that remaining variable.

Answer:

6x+y=1

or,6×1+y=1

or,6+y=1

or,y=6-1

ans,y=5

Creshawna has $52 in her bank account. She sells a few of her games and makes $134. She deposits that amount into her bank account. How much money does Creshawna have in her bank account after she deposits $134?

$180
$186
$190
$196

Answers

I'm pretty sure it's $186

39 round to the nearest hundred

Answers

As it says nearest to hundred it will be 0-100 and the closest one is the answer, in this case the number is 39 which means it’s closer to 0,so the answer is 0

Write an equation of the line with a slope of -2 and y-intercept of 3

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

the original formula is

y = mx + b

m is the slope

b is the inteception on the y axis

Complete the equation of the line through (-10,3)(−10,3)left parenthesis, minus, 10, comma, 3, right parenthesis and (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis.

Answers

Answer:

[tex] y = -\dfrac{11}{2}x - 52 [/tex]

Step-by-step explanation:

Line through points (-10, 3) and (-8, -8).

slope = (-8 - 3)/(-8 - (-10)) = -11/2

y = mx + b

y = (-11/2)x + b

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = (-11/2)x - 52

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope fo the line passing through (-10,3) and (−8, -8) is

Slope, m = (-8-3)/(-8+10) = -11/2

Now, equate a point in the equation,

3 = -10(-11/2) + C

3 = 55 + C

c = -52

Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Find two consecutive whole numbers that 60 lies between.

Answers

Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.

Answer: 50 and 100

Step-by-step explanation:

( sorry if this is not what you meant ;-; )

(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence ​

Answers

Step-by-step explanation:

the answer is shown in the photo

I need help I need help

Answers

Answer:

click on image

Step-by-step explanation:

click on the image

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

L’ (4.5,0) J’(-4.5, -4.5) K’(-4.5,4.5) i think

Answers:

[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]

===================================

Explanation:

We multiply each coordinate of each point by the scale factor 4.5

For example, point L(1,0) moves to L ' (4.5, 0)  since 4.5*1 = 4.5

This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.

help me solve thissss

Answers

Answer:

y = 35 degrees

Step-by-step explanation:

y + 55 = 90

(subtract 55 from both sides)

y = 35

y=35 degrees
The angle shown is a complementary angle, which has a total of 90 degrees. Given one part of the angle is 55 degrees, we have to figure out what’s the unknown angle. 90 degrees minus 55 degrees equals 35 degrees.

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )

Answers

Answer:

5 sqrt(6) = x

Step-by-step explanation:

The pythagorean theorem states

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse

7^2 + (sqrt(101))^2 = x^2

49+101 = x^2

150 = x^2

Take the square root of each side

sqrt(150) = sqrt(x^2)

sqrt(25*6) = x

5 sqrt(6) = x

Help help help math math

Answers

Answer:

Slope = 4

Step-by-step explanation:

Change in Y = 4

Change in X = 1

Slope = Δy/Δx = 4/1 = 4

WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.

Answers

Answer:

  length ≈ 5.583 ft

  width ≈ 3.583 ft

Step-by-step explanation:

If we let x represent the length of the table in feet, then the width is (x-2). The area is ...

  A = LW

  20 = x(x -2)

Writing this in standard form gives ...

  x^2 -2x -20 = 0

The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]

Of these values, the only one that makes sense is ...

  length = 1+√21 ≈ 5.583 ft

  width = length -2 ≈ 3.583 ft

Let width is x

length be x+2

Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0

On solving

we get

x is around 3.58 or 3.6ft

Width=3.6ftLength=3.6+2=5.6ft

What can you conclude about the domain and range of a relation if a verticals line at x=5 passes through 2 points? 1 point? No Points?

Answers

Answer:

i dont understand

Step-by-step explanation:

i took test

what is the answer when you multiply 5.30 one by 5.02​

Answers

Answer:

I think is there answer is 26.606

Dan takes an airplane to visit his parents. He pays the airline a total of $450. The cost of the ticket is $315. The airline also charges $15for every pound that the luggage goes over the 50 pound is Dan's luggage over the 50 pound limit?

Answers

Answer:

9

Step-by-step explanation:

Start with the total amount Dan paid and subtract the part of the payment that is for the ticket.

450-315=135

Assuming that all of that $135 was for luggage fees and each pound over the limit costs $15, then the question is, how many times did Dan pay $15 until he'd paid the full $135 luggage fee.

So divide $135 by $15.

135/15=9

So his luggage weighted 59 pounds, which is 9 pounds over the limit.

Find the equation, in standard form, of the line parallel to y=-1/5x+7 and passing through the point (-10,-3).
Show work for brainliest!

Answers

ANSWER:

y= -1/5x - 5

Since it is parallel, that means that the slope (-1/5x) is the same.

Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b

b stands for the new y-intercept

do the equation, and you should get the answer above!

find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)​

Answers

Answer:

Step-by-step explanation:

x²+y²-2x-10y+1=0

compare with x²+y²+2gx+2fy+c=0

center is (-g,-f)

radius=√(g²+f²-c)

2g=-2

g=-1

2f=-10

f=-5

radius=(1,5)

c=1

let eq. of circle be x²+y²-2x-10y+c=0

∵ it passes through (2,-3)

2²+(-3)²-2(2)-10(-3)+c=0

4+9-4+30+c=0

c=-39

eq. of circle is is x²+y²-2x-10y-39=0


Someone help me pls

Answers

Answer:

248 is your answer

Step-by-step explanation:

The two angles are supplementary, therefore together they add to 360. So take 360 and subtract 112, you get 248. Hope this helps you :)

Help help math math good luck

Answers

Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it

help me please please​

Answers

Answer:

its 3 OR C

Step-by-step explanation:

Malcom and his sister ran 3 races. Their distances are shown below.
Race Malcom's / Sister Distance
1. 10 yards 300 inches
2. 18 feet 180 inches
3. 120 inches 5 feet

Who can run the farthest? How do you know? Use the lines and space below to
prove your answer.

Answers

Answer:    Malcom can run the furthest.

======================================================

Explanation:

Race 1

Let's convert Malcom's distance to inches so we can compare his distance to his sister's.

1 yard = 3 feet

10 yards = 30 feet (multiply both sides by 10)

1 foot = 12 inches

30 feet = 360 inches (multiply both sides by 30)

In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.

------------------------

Race 2

Convert Malcom's distance from feet to inches.

1 foot = 12 inches

18 feet = 216 inches (multiply both sides by 18)

Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.

------------------------

Race 3

120 inches = 120/12 = 10 feet

Divide by 12 to convert from inches to feet, or you could have these steps

12 inches = 1 ft

120 inches = 10 feet

after multiplying both sides by 10.

Malcom runs 10 feet compared to 5 feet which his sister runs.

In each race, Malcom has ran the furthest.

please help me with math.

Answers

Answer:

Invalid

Step-by-step explanation:

This is invalid because you don't have to go some were to love something.

Answer:

Invalid

Step-by-step explanation:

All graduates love football;

This means all people who are graduates will love the football, it tells us nothing at all about people who are not graduates;

These people may love football or they may not;

Tom loves the football, thats all we are told;

He could, therefore, fall into either category, being a graduate since all graduates love the football or not being a graduate, since these might also love the football.

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