What’s the answer to the top question and steps how to solve?

Whats The Answer To The Top Question And Steps How To Solve?

Answers

Answer 1

Answer:

-3.69

Step-by-step explanation:

Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:

[tex]Ln(a^b)=bLn(a)[/tex]

Now lets work out this problem:

[tex]16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)[/tex]

Using calculator, we take the values of Ln 16 and Ln 13 as:

Ln 16 = 2.7726

Ln 13 = 2.5649

Now, we can solve for x:

[tex](2x+3)Ln(16)=(x-1)Ln(13)\\(2x+3)2.7726=(x-1)2.5649\\5.5452x+8.3178=2.5649x-2.5649\\2.9803x=-10.8827\\x=-3.69[/tex]

x is -3.69 (rounded to 2 decimal places)


Related Questions

How many packs of DVD’s can you buy with 198 dollars if one pack cost 18 dollars

Answers

Answer:

you can get 11 DVDs if they cost 18 dollars

Answer:

Step-by-step explanation:

198/18=11. You can buy 11 packs

since it is a. repeating decimal 14.1 is irrational. True or false statement​

Answers

False this statement is false

Answer:

The statement is false

Step-by-step explanation:

For a number to be rational it must be able to be written as a fraction.

If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving

Answers

The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

[tex]p+q=1[/tex]

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

[tex]0.097 + q = 1\\q = 1 - 0.097\\q = 0.903[/tex]

The probability of not surviving a head-on car accident is: 0.903

Keywords: Probability, Inverse

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Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 + 10 + 2) What should Bart do to find the product? Select all that apply. Multiply 6(400) and multiply 10(2). Multiply 6(400), 6(10), and 6(2). Multiply 6(400) and then add (10 + 2). Multiply each addend by 6. Find the sum of (2400 + 60 + 12).

Answers

Bart should;

Multiply 6(400), 6(10), and 6(2) ⇒ 2nd

Multiply each addend by 6 ⇒ 4th

Find the sum of (2400 + 60 + 12) ⇒ 5th

Step-by-step explanation:

Let us revise the distributive property

a(b + c) = ab + aca(b + c + d) = ab + ac + ad

Bart used place value and the distributive property to rewrite the

expression 6(412)

His work is shown 6(412) = 6(400 + 10 + 2)

We need to know what Bart should do to find the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply each number in the bracket by 6 in the right hand side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should to multiply each addend by 6 and then find the sum of

  (2400 + 60 + 12)

Bart should;

Multiply 6(400), 6(10), and 6(2)

Multiply each addend by 6

Find the sum of (2400 + 60 + 12)

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Answer:

The one up is right  but  just to make it easier it is B, D, E

Step-by-step explanation:

Got it right on edge 2021

Hope it helps :)

simplify that equation

Answers

Answer:

[tex](g-7)^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{(g-7)^{9} }{(g-7)^{3} }[/tex]

= [tex](g-7)^{(9-3)}[/tex]

= [tex](g-7)^{6}[/tex]

Answer:

(g - 7)⁶

Step-by-step explanation:

Rule:

[tex]\frac{x^{a} }{x^{b} } =x^{a - b}[/tex]

So,

(g - 7)⁹ ⁻ ³ = (g - 7)⁶

find the slope of a line that passes through (6,8) and (1,18)​

Answers

Answer:

m(the slope) = -2

Step-by-step explanation:

First, you want to use the slope formula. This can be written as (Y[subscript2]-Y[subscript1])/(X[subscript2]-X[subscript1]). This may seem a bit confusing but I hope it will make sense to you. The subscripts basically mean which Y value or X value you are taking. In this case, you could rewrite the equation as this: (18-8)/(1-6). The 18 is the Y value of the second point, so it is Y[subscript2]. Now all you need to do is simplify the equation.

(18-8)/(1-6)

10/-5

(-1)10/5

(-1)2

-2

Brisa went shoe shopping this
weekend found some boots for $25
with 8% tax
Tax:
Total:
This is part of my study guide for a test I missed, please help me asap!!

Answers

Tax: $2

Total: $27

Step-by-step explanation:

Given,

Price of boots = $25

Tax = 8%

Amount of tax = 8% of price of boots

[tex]Amount\ of\ tax = \frac{8}{100}*25\\Amount\ of tax=\frac{200}{100}\\Amount\ of\ tax=\$2[/tex]

Total = Price of boots + Tax amount

[tex]Total = 25+2=\$27[/tex]

Tax: $2

Total: $27

Keywords: sales tax, addition

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What is the correct sequence of steps for calculating 946 on the scientific calculator?
A.
First press 9, then 6, then the exponent key, and finally press the equal sign ().
B.
First press 6, then 9, then the exponent key, and finally press the equal sign (=).
C.
First press 9, then the exponent key, then 6, and finally press the equal sign (=).
Reset
Reset
Next

Answers

Answer:

9^6=531441

Step-by-step explanation:

To calculate  ,on the Scientific calculator

-First press 9 marked on the set of numbers.

--Then go to the indices expression  and press on it.

--After that press 6.

--You will get the value of   9^6=531441

If two _____ line are cut by a ______, then the two pairs of alternate interior angles are congruent

Answers

Answer


If two [ parallel ] lines are cut by a [ transversal ], then the pairs of alternate exterior angles are congruent.


How many pounds of peanuts that sell for $1.5 per pound should be mixed with cashews that sell for $4.5 per pound so that a 10-pound mixture is obtained that will sell for $3.00 per pound?

Answers

5 pounds of peanuts should be mixed with cashews

Step-by-step explanation:

The given is:

The price of one pound of peanut is $1.5

The price of one pound of cashew is $4.5

10-pound mixture is obtained that will sell for $3.00 per pound

We need to find how many pounds of peanuts should be mixed with cashews

Assume that x represents the number of pound of peanuts, and y represents the number of pounds of the cashews

∵ x pounds of peanuts should be mixed with y pounds of cashews

∵ The mixture obtained is 10 pounds

x + y = 10 ⇒ (1)

∵ The price of each pound of peanut = $1.5

∵ The price of each pound of cashew = $4.5

∴ The selling price of the mixture = 1.5x + 4.5y

∵ The selling price of one pound of mixture = $3

∵ The mixture is 10 pounds

∴ The selling price of the mixture = 3 × 10 = 30

- Equate the two expressions of the selling price of the mixture

1.5x + 4.5y = 30 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -4.5 to eliminate y

-4.5x - 4.5y = -45 ⇒ (3)

- Add equations (2) and (3)

∴ -3x = -15

- Divide both sides by -3

x = 5

∵ x represents the number of pounds of peanuts

∴ The number of pound of peanuts is 5

5 pounds of peanuts should be mixed with cashews

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how do you solve this? need help asap!! find y!!

Answers

Answer:

x = 21 degrees

y = 66 degrees

Step-by-step explanation:

Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.

The first two upper angles are supplementary since they complete half a turn of a circle.

The relation is

(3x+5)+(6x-14)=180.

Joining like terms

9x-9=180

Dividing by 9

x - 1= 20 =>

x = 21 degrees

The first and the last angle are the same because they are formed by two parallel lines to a common side, so

3x-5=y-8 or

y=3x+3 = 63+3 =>

y = 66 degrees

Here is the question
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v

Answers

Answer:

16.5 square feet

Step-by-step explanation:

The logo consists of

rectangle with sides of 3 ft and 1.5 ft;trapezoid with bases 3 ft, 4 ft and height of 3 ft;triangle with base of 1.5 ft and height of 2 ft.

The area of rectangle:

[tex]A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2[/tex]

The area of trapezoid:

[tex]A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2[/tex]

The area of triangle:

[tex]A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2[/tex]

Hence, the area of logo:

[tex]A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2[/tex]

There is a multiplication and division fact family with the numbers 2,4 and 8. Write the four fact family members

Answers

Answer:

8-4=2

2 x 4=8

4 x 2=8

8-2=4

Step-by-step explanation:

A fact family includes related multiplication and division facts. For the numbers 2, 4, and 8, the facts are 2 x 4 = 8, 4 x 2 = 8, 8 ÷ 4 = 2, and 8 ÷ 2 = 4. This demonstrates the relationship between multiplication and division.

Fact Family for Multiplication and Division

A fact family in mathematics is a group of related math facts involving the same numbers. For the numbers 2, 4, and 8, the fact family includes both multiplication and division facts. Here are the four members of this fact family:

2 x 4 = 8

4 x 2 = 8

8 ÷ 4 = 2

8 ÷ 2 = 4

Notice how multiplication and division are related: each multiplication fact has a corresponding division fact.

PLZ HELP THIS IS TIMED! Find the value of xxx in the isosceles triangle shown below.

Answers

Answer:

x = 10

Step-by-step explanation:

Given isosceles triangle with legs equal to [tex]\sqrt{74}[/tex] units. The height of 7 units divides this triangle into two congruent right triangles. The height of the isosceles triangle drawn to the base is its median to, so the height divides the base into two equal segments with length of [tex]\frac{x}{2}[/tex] units.

By th Pythagorean theorem,

[tex]\left(\dfrac{x}{2}\right)^2+7^2=(\sqrt{74})^2\\ \\\dfrac{x^2}{4}=74-49\\ \\\dfrac{x^2}{4}=25\\ \\\dfrac{x}{2}=5\\ \\x=2\cdot 5\\ \\x=10\ units[/tex]

Answer:

10

Step-by-step explanation:

Are these all of the answers?

Answers

That Looks about right.

Yea it looks right there bud

evaluate 0.3y + y/x when y = 10 and z =5

Answers

Answer:

5

Step-by-step explanation:

0.3*10=3

10/5=2

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

3+2=5

Please help ASAP. Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x + 11° and m∠E = 7x + 1°, what is the measure of ∠E?

A) 95
B) 99
C) 81
D) 85

Answers

Answer:

The answer is D

Step-by-step explanation:

∠C + ∠E = 180°(consecutive angles)

7x +11° + 7x + 1° = 180°

14x + 12° = 180°

14x = 168°

x = 12°

∠E = 7x + 1°

= 7(12°) + 1

= 85°

The measure of ∠E is 85 degrees

How to determine the measure of E?

To calculate the measure of E, we start by calculating the value of x using:

∠C + ∠E = 180° (consecutive angles of cyclic quadrilateral)

So, we have:

7x +11° + 7x + 1° = 180°

Evaluate the like terms

14x + 12° = 180°

Subtract 12 from both sides

14x = 168°

Divide both sides by 14

x = 12°

Recall that:

∠E = 7x + 1°

Substitute 12 for x

∠E = 7(12°) + 1

Evaluate

∠E = 85°

Hence, the measure of ∠E is 85 degrees

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Find z a/2 for a=0.06

Answers

Answer:

z is 0.03

if you divide 0.06/2= 0.03

Step-by-step explanation:

Z is 0.03 if you do 0.06/2

Create an expression that you would use to solve the problem below.

YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.

A tool rental cost $0.65 per minute. If the total bill for the rental was $18.20, then for how many minutes was the tool used?

Answers

The tool was used for 28 minutes

Step-by-step explanation:

We will use simple division to calculate the number for minutes for which the tool was rented

Given

Cost per minute = $0.65

Total cost = $18.20

Let x be the number of minutes

So,

x = [tex]\frac{Total\ cost}{Cost\ per\ minute}\\= \frac{18.20}{0.65}\\=28\  minutes[/tex]

The tool was used for 28 minutes

Keywords: Division, Linear equation

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The tool was used for 28 minutes

Step-by-step explanation:

We will use simple division to calculate the number for minutes for which the tool was rented

Given

Cost per minute = $0.65

Total cost = $18.20

Let x be the number of minutes

So,

x =

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Solve 7 equals pi r squared

Answers

Step-by-step explanation:

[tex]7 = \pi {r}^{2} [/tex]

Were you given an input for r?

If not then:

7/pi = about 2.23

[tex] \sqrt{2.23} = about \: 1.5[/tex]

r = about 1.5

Why is 3.4 * 910 is NOT correct scientific notation?​

Answers

Explanation:

Scientific Notation is number between 1-10 multiplied by 10[tex]^{#}[/tex] (or e#) This has the 1-10 right but the other number incorrect.

The correct scientific notation is 3.4e+9.

Need to explanation why is 3.4 * 910 is not correct scientific notation.


What is scientific notation means?

Scientific notation means the longer value coded to short terms like 34000 to 3.4e+4.

Here 3.4*910 does not represent any thing because the correct manner for the scientific notation is ae + b. Where a = value and b =power to the 10.
so the correct scientific notation is 3.4e+9.

Thus, 3.4 * 910 is not correct scientific notation, the correct scientific notation is 3.4e+9.

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You have a gift card for a coffee shop worth $90. Each day you use the card to get a coffee for $4.10. what is the value of the card after you buy your 8th coffee

Answers

Answer:

$57.20

Step-by-step explanation:

So the card starts off with $90, we spend $4.10 each day

To figure this out quick, take $4.10 and multiply it by 8

$4.10 x 8 =$32.80

Now subtract:

$90 - $32.80 = $57.20

What type of food it bad for you to eat too much of?​

Answers

Answer:

sugar and also meat

Step-by-step explanation:

Answer: red meat you should balance your diet with chicken and red meat

Step-by-step explanation:

If the engine in a 1200 kg car could produce 10,000 N to accelerate from 0 to 27
m/s, how much time would that take?

Answers

Answer:

The time taken by engine of the car to accelerate is 3.24 seconds

Step-by-step explanation:

Given as :

The mass of the car = 1200 kg

The Force applied by engine to accelerate = 10, 000 N

The change in velocity = [tex]v_2[/tex] -  [tex]v_1[/tex] = 27 m/s

Let The time taken by engine = t sec

And Let The acceleration = a  m/s²

Now,

∵ Force is define as the product of mass and acceleration

I.e F = mass × acceleration

or, F = 1200 × a

or, 10,000 =  1200 × a

∴ a = [tex]\frac{10,000}{1200}[/tex]   m/s²

I.e a = 8.33 m/s²

Now , Again

∵ Acceleration is define as the rate of change of velocity

I.e a = [tex]\dfrac{v_2-v_1}{t}[/tex]

or, a =  [tex]\dfrac{27-0}{t}[/tex]

Or, t =  [tex]\dfrac{27}{a}[/tex]

I.e t = [tex]\dfrac{27}{8.33}[/tex]

∴ t = 3.24 sec

So, The time taken = 3.24 seconds

Hence The time taken by engine of the car to accelerate is 3.24 seconds . Answer

Will the point (2, 6) be on the graph of y = 3x?
A. No, because an equation does not have points.
B. Yes, because x = 6 and y = 2 is a solution to the equation.
C. Yes, because x = 2 and y = 6 is a solution to the equation.
D. No, because x = 6 and y = 2 does not make the equation true.

Answers

Answer:

Yes, because x = 2 and y = 6 is a solution to the equation.

Final answer:

The point (2, 6) does lie on the graph of the equation y = 3x because when you substitute x = 2 and y = 6 into the equation, it holds true (6=3*2). Hence, yes, because x = 2 and y = 6 is a solution to the equation.

Explanation:

To determine if the point (2, 6) is on the graph of y = 3x, you would need to substitute the values of x and y into the equation and see if it holds true. In this case, if we substitute x = 2 and y = 6, we get 6 = 3*2, which simplifies to 6 = 6. This shows that the equation is true, therefore, the point (2, 6) lies on the graph of y = 3x. So the correct answer is C: Yes, because x = 2 and y = 6 is a solution to the equation.

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2.50+ 1.50(m-1)=17.50

Answers

Answer: m = 11

Step-by-step explanation: Isolate the variable by dividing each side by facotrs that don't contain the variable.

Hope this helps you out! ☺

Answer:

m = 11

Step-by-step explanation:

To find m, we solve this equation:

2.50+ 1.50(m-1)=17.50

We subtract 2.50 from both sides:

1.50(m-1) = 15

Next we divide by 1.5 on both sides:

m - 1 = 10

Lastly we add one to both sides:

m = 11

what value of k makes the factor (x+3) a factor of the function f(x)=3x^3-2x+k?

Answers

Final answer:

To find the value of k that makes (x+3) a factor of the function f(x)=3x^3-2x+k, substitute x=-3 into the equation, leading to the solution k=75.

Explanation:

The question asks for the value of k that makes (x+3) a factor of the function f(x)=3x³-2x+k. To solve this, we use the fact that if (x+3) is a factor of f(x), then f(-3)=0. Therefore, we substitute x=-3 into the equation and solve for k.

Substituting x=-3 into f(x)=3x³-2x+k gives:

f(-3) = 3(-3)³- 2(-3) + k = -81 + 6 + k

Since f(-3)=0, we have -75 + k = 0

Thus, k = 75

This computation shows that the value of k that makes (x+3) a factor of the given function is 75.

Your family loves turkey uncle Billy 1/4 of the turkey cousin Chris ate 15% of the turkey cousin Timmy ate 0.3 of the turkey and Little Dave ate 12% of the turkey who ate the most turkey?

Answers

Answer:

Timmy

Step-by-step explanation:

He ate 30% of it

Timmy-30%

Chris- 15%

Little Dave-12%

Answer:

timmy

Step-by-step explanation:

he ate the most because he is fat

please help! 9,000÷900=?​

Answers

The answer is ten because if you end up doing ninety divided by nine it ends up being the same answer

Answer:it is 10%

Step-by-step explanation:

A ​used-boat dealership buys a boat for ​$2900 and then sells it for ​$4500. What is the percent​ increase?(Round to the nearest whole number as​ needed.)

Answers

Answer:

55%

Step-by-step explanation:

We have to divide the new price by the original price

4500/2900 = ca. 1.5517

Take away 100% from this answer and we get 0.5517 over the original price

This is the same as 55.17% can be rounded to 55%

Final answer:

To find the percent increase in the boat's price, subtract the original price from the selling price, divide by the original price, then multiply by 100 and round to the nearest whole number. The calculation shows about a 55% increase from the original price of $2900 to the selling price of $4500.

Explanation:

To calculate the percent increase, you would subtract the original price of the boat from the selling price and then divide by the original price to get the fraction of the increase. Finally, you multiply this fraction by 100 to convert it to a percentage. Using the given numbers: The original price is $2900, and the selling price is $4500.

Subtract the original price from the selling price: $4500 - $2900 = $1600Divide the increase by the original price: $1600 / $2900 ≈ 0.5517241379Multiply by 100 to convert to a percentage: 0.5517241379 × 100 ≈ 55.17%

When you round this to the nearest whole number, you get a percent increase of 55%.

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