Danielle is trying to solve the equation 7^x = 22 . Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.

Answers

Answer 1

Answer:

Step-by-step explanation:

7^x=22

take log of both sides

[tex]log(7)^x=log 22\\x log 7=log22\\x=\frac{log 22}{log7} \approx ~1.59[/tex]


Related Questions

It is 1.9 miles from a house to a restaurant and 1.2
miles to a pier, as shown at the right. The angle
between the two lines of sight is 87°. How far is it from
the pier across the water to the restaurant.

Answers

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

  c² = a² +b² -2ab·cos(C)

  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

  c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.

help if u lnow truangles stuff

Answers

49 degrees is the answer to this question
55°

76°+ 49°= 125°
180° - 125° = 55°

An airplane in flight needed to make an emergency landing so it descended at
an angle of depression of 15 degrees for 50000 feet until it landed. How many
feet is the vertical drop from when the plane initially began it's descent to
when it reached the ground? Round to the nearest whole number. (Hint:
draw a picture)

Answers

Answer:

13,397 ft

Step-by-step explanation:

tan 15 = height/50,000

0.2679(50,000) = 13,397 ft

Select all ratios that are in their simplest form,
A=21:7
B=25:19
C=23:7
D=16:4
E=24:26​

Answers

Answer:

B and C

Just see if there is any number that can divide both top and bottom

If there isnt, its in simplest form

An economics professor is interested in seeing if the mean hours worked by ISU students in a week at part time or full time jobs (including work study) is greater than 10. To accomplish this, the professor randomly selected 50 students from the university. It was found that the distribution was right skewed and unimodal. The sample mean was 11 hours with a sample standard deviation of 3. The professor then did a hypothesis test. Please find the test statistic for this hypothesis test Group of answer choices

Answers

Answer:

2.3574

Step-by-step explanation:

This question requires us to find the t test statistic given the data in the question.

H0: u = 10

H1: u > 10

Population variance is not known

T = (barX - u)/(s/√n)

u = 10 hours

BarX = 11 hours

Sd = 3 hours

n = 50

(11-10)/(3/√50)

t test = 1/(3/√50)

= 1/0.4242

Test statistic = 2.3574

Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?

Answers

On solving the provided question, we got to know that - arbitrary number So the money she earns is equal to 10 times w plus 15, which can be expressed as: 10w + 15

what is arbitrary number?

A number is considered arbitrary if its only unique characteristic is that it has a high value. You can think of them informally as the numbers that your opponent picked. Any number appears to be worthless intuitively.

Since the question allows us to use any number, we decide to make the money she makes from washing the car equal $10. We'll also assume that she gets paid $15 to wax the car.

So the money she earns is equal to 10 times w plus 15, which can be expressed as:

10w + 15

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Help me please help if know what the answer please?!!?!??faster

Answers

Answer:

like 29%

Step-by-step explanation:

there are 4 male freshmen out of 4+6+2+2=14 total males and 4/14 is like 28.5714... and so you round

If a store advertises a package of 22 stickers for
$4.57, what is the unit rate, or price per sticker?
Write an equation using a variable and solve.

Answers

So it starts with 22 and then it goes all the way to $818 hope this helps.

What the heck is this??

Answers

Answer: A triangular pyramid

Explanation: if you fold the sides down then you can create a triangular pyramid
the figure is a pyramid

Can anyone help me!! Thank you

:)

Answers

Answer:

23

Step-by-step explanation:


There are 100 marbles in a jar
There are 9 times as many red marbles
as there are blue marbles. How many
blue marbles are in the jar?

Answers

Answer:

Step-by-step explanation:

take 9 divided by 5 wich = 1.8

What is the volume of the following triangular prism?

Answers

Answer:

37.8

Step-by-step explanation:

Change 12 mm to 1.2 cm

Then apply the volume rule

Area * height

A = 1.2*7=8.4

H=4.5

Volume 8.4*4.5 =37.8

Which expression is equivalent to fraction 4/9 x 7

answers: 7 x 9 divided by 4; 9 divided by 4 x 7; 4 divded by 7 x 9; 4 x 7 divided by 9.

Answers

Answer:

Calculator 8tfifficxfotidtxiixfdixfiifxifx fixir

i need help please! Much appreciated

Answers

Answer:

From SOHCAHTOA

Sin60 = 9/y

y= 9/sin60

y=10.39 ~ 10.4

Again

From SOCAHTOA

Tan60= 9/x

x= 9/tan60

x=5.19 ~ 5.2.

For problems 1-3, use the information in the diagram to find the angle measure of in radians. Round your answer to the nearest ten-thousandth, if necessary.

Answers

Answer:

4.25 radians2.4 radians0.625 radians

Step-by-step explanation:

You want the angles associated with different arc lengths and radii.

Angle

The length of an arc is given by the formula ...

  s = rθ . . . . . θ is the angle in radians, r is the radius

Solving for θ gives ...

  θ = s/r

1.

For s=17 in, r=4 in, ...

  θ = (17 in)/(4 in) = 4.25 . . . . radians

2.

For s=12 ft, r=5 ft, ...

  θ = (12 ft)/(5 ft) = 2.4 . . . . radians

3.

For s=8.5 mm, r = 13.6 mm, ...

  θ = (8.5 mm)/(13.6 mm) = 0.625 . . . . radians

god please please someone help with this my last question and more coming im about to cry i need help youll have good luck and ill love u 4 evea PLEASEEE.....................................................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.

The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.

Answers

Answer:12

Step-by-step explanation: i found the answer on another brainly account

ps: i hope you pass

Can y’all help me on question 32??!

Answers

Answer:

(B)

Step-by-step explanation:

PLS HELP FOR 10 POINTS PLEASE (SHOW YOUR WORK)
Question: Find the measure of the missing angle

IF YOUR A BOT AND IS JUST SAYING “PLEASE CHECK THE LINK BELOW FOR ANSWERS” I WILL REPORT

THANK YOU (-:

Answers

Answer:

The answer is 90 degrees

Step-by-step explanation:

It is a right angle and a right angle is equal to 90 degrees

The box in a triangle always represents a right angle

Answer:

The missing angle is 65 degrees

Step-by-step explanation:

Answer: 65 degrees

First, you can make the conclusion that a right angle is 90 degreesNext, you can add 90 to 25 to get 115You then subtract 115 from 180.You are left with 65, which is the measure of the missing angleRemember that a triangle equals 180 degrees! :)

Please help with this and thank u brother and sisters

Answers

Answer:

Equivalent

Step-by-step explanation:

Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators.

If you multiply the first one by 4/4 then you will have 8s/20s, which is the same as the second one

Answer:

I dont know if the letters are there to confuse me but if not yes there equivalent I cross multiplied 2 × 20 = 40 and 8 × 5 = 40 as well meaning there equivalent cause they equal the same when cross multiplying hope that helps!

What is the measure of the x?

DO NOT ANSWER IF YOU DO NOT THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

A

Step-by-step explanation:

The sum of the two angles is 180 degrees

x + 138 = 180

x = 42 degrees

Find the missing side length of the right triangle. If needed, round to the nearest tenth
10 cm.
126 cm.

Answers

Answer:

24 Is the answer. (I used 26, not 126 as 26 is what was in the picture)

Step-by-step explanation:

A^2 + b^2 = c^2

10^2 + b^2 = 26^2

100 + b^2 = 676

B^2=576

B=24

Please help with this

Answers

Answer:

I would say 109 if you were to plot this

How much fencing is required to enclose a circular garden whose radius is 14​m? Use 22/7 for π.

Answers

Answer:

The fencing required to enclose a circular garden whose radius is 22m is 138.16m

Answer:

[tex]\boxed {\boxed {\sf 88 \ meters}}[/tex]

Step-by-step explanation:

We want to find the amount of fencing required to enclose the garden. The fencing goes around the garden, which is a circle. Essentially, we are finding the perimeter or circumference of the circle.

The formula for circumference is:

[tex]c=\pi \times d[/tex]

We are given the radius, so we need to find the diameter. The radius goes from the center to the edge of the circle, while the diameter goes from edge to edge through the center. So, the diameter is twice the radius of 14 meters.

d=2 ×r d= 2 × 14 m d= 28 m

Now we know the diameter is 28 meters. We also know 22/7 is being used for pi. Substitute these values into the formula.

[tex]c= \frac{22}{7} \times 28 \ m[/tex]

[tex]c=88 \ m[/tex]

The circumference is 88 meters, so 88 meters of fencing is requires to enclose the garden.

What is the volume of a triangular prism that has a height of 5 feet and a base that with the following ?

Answers

Answer:

C

Step-by-step explanation:

Base area = (base x height of the base)/2 = (13 x 6)/2 = 39 ft^2

V = base area x height = 39 x 5 = 195 ft^3

is 0.2/2.6 0.3/3.6 proportional or not proportional

Answers

Answer:

not proportional

Step-by-step explanation:

0.2/2.6 is 1:13

0.3/3.6 is 1:12

Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.

"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)

Answers

Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300

1 is carried form 4 to 5 then to 3 to get 13

How to do the subtraction in a correct way

The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly

The numbers used in the subtraction is examined

453 and 254

the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.

When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds

At this point 4 in "453" is in hundreds and will turn to 300

Learn more about extended subtraction at:

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4 glasses cost £24 in total how much do seven glasses cost

Answers

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

What is unitary method?

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

What are arithmetic operators?

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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please help will give brainliest. Links will be banned

Answers

Answer:

I believe it is C.

If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?

Answers

The answer i think is 10:30 am because you just have to multiply the number of seconds with people youll get 3,300 seconds divide that by the number of seconds are in a minute (60 seconds) then you’ll get 55 mins then its adding from there

Answer: 10:30 am

Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!

Find the surface area of the prism
copy and paste this link into your browser
https://imgur.com/a/fWHYwss

Answers

Answer:

surface area of a right prism is T.S.A.=ph+2B

Step-by-step explanation:

hope that helps :)

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