Solve. e^(4x) + 5e^(2x) - 24 = 0.

Answers

Answer 1

e^2x=yso e^(4x) + 5e^(2x) - 24 = 0=y^2+5y-24=(y+8)(y-3)y=3ln3=2xx=ln(3)/2=0.55

Related Questions

This is a continuous set of numbers. every real number from the starting value to the ending value is included. it is called an ___.

Answers

the answer to this one is interval.

In which quadrant is point (4,5) located

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The first quadrant, The quadrants start in the top right, then the top left, then the bottom left, the finally the bottom right.

That would be the second quadrant since both points are positive! Hope this helps, good luck and happy holidays!

Larry Klaus withdrew $310.80 simple interest from an account after 4 years. If he invested $1,110.00, how much was his rate of interest?

7%
6%
4%
5%

Answers

7% is the answer to your question

Answer:

7% is the answer (hope this helps) or do you need explanations?

Step-by-step explanation:

If x=4, then 5x=20 select the property

Answers

Multiplication. When a variable is right next to a number and not as an exponent.

Final answer:

The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.

Explanation:

When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).

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(3a2 + 2a - 2) - (a2 - 3a + 7)

Answers

remember to distribute invibile -1
simlify 2nd part
-(a^2-3a+7)=-1(a^2-3a+7)=-a^2+3a-7

now we have
3a^2+2a-2-a^2+3a-7=
3a^2-a^2+2a+3a-2-7=
2a^2+5a-9

Factor the expression.

t^2 - 14t + 49

Answers

(t-7)(t-7) is the answer !! :)

The right answer is (t-7)^2

If he swim 900m in a day how many kilometers he swim

Answers

1000 meters equals to 1 kilometers. So 900 meters equals to 0.9 kilometers. Then the answer is 0.9 km

Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?

Answers

Answer:

Worker 1: 46 parts

Worker 2: 40 parts

How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer

Answers

A = P(1+RT)
A (Future) = 2000(2) = 4000
P (Principal) = 2000
R (Rate) = 8% =.08
T (Time) = Unknown

Create the equation:
4000 = 2000(1+.08t)

Distribute the 2000:
4000 = 2000 + 2000(.08t)

Multiply the 2000(.08t):
4000 = 2000 + 160t

Subtract the 2000 from both sides:
2000 = 160t

Divide by 160:
12.5

Answer:
It will take 12.5 years (12 years and 6 months) to double the 2000 to double.

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem

Answers

Answer;

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or b² = a² + c² − 2 bc cos B, or c² = a² +b ² − 2 bc cos C

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;

A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be used to find the cost of the gum 20 years ago?
A)
0.3x - 0.3 = 0.75
B)
3x - 0.3 = 0.75
C)
3x - 3 = 75
D)
3 - 3x = 75

Answers

20 years ago it costed 3x - 3 = 75 because it costed 3 cents less than (this -3 part) 3 times of its price (price 20 years ago is x, 3 times that is 3x.
thats how we get 3x - 3 and we make it equal to 75 because we are comparing those 2 prices

So, answer is C.

Answer:

Step-by-step explanation:

Let the cost of a pack of gum 20 years ago = x cents

Given, present cost of a pack of gum = 75 cents

Given, present cost of a pack of gum is 3 cents less than three times what the pack costs 20 years ago.

So,

[tex]75 + 3 =3x[/tex]

[tex]75= 3x -3[/tex]

[tex]3x-3=75[/tex]

Therefore,

Equation , [tex]3x-3=75[/tex] , can be used to find the cost of the gum 20 years ago.

12 liters is about how many quarts

Answers

12.6803 would be the answer hope you get your homework/quiz 100%

URGENT! PLEASE HELP MATH!

Which shows the conversion of 0.427 kg to pounds?

There are 2.2 pounds in 1 kilogram.

A.
0.427 kg × 2.2 lb/kg = 9.39 lb

B.
0.427 kg × 2.2 lb/kg = 0.939 lb

C.
0.427 kg + 2.2 lb/kg = 2.627 lb

D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb

Answers

2.2lb=1kg
conversion factor is
2.2lb/1kg
since they are equal, that equals 1

0.472kg times (2.2lb/1kg)=0.9349 lb
answer is B

Pro tip! Use this magical thing called dimensional analysis. It works on the principle that you are converting a unit to another unit. More in depth, it cancels out the unit you don't want! So, in this case we want to cancel out the kg unit. What do I mean by cancelling? It's the same concept as 2/2 they cancel out because 2/2 = 1. Units work in a similar fashion. When two of the same units are over each other they cancel out of the problem.

Remember, the numerator of a fraction is whatever is on top. The denominator is on the bottom!

Explanation aside let's use it in a problem!

[tex] \frac{0.427kg}{1} * \frac{?}{?} [/tex]

We want the denominator to have kg, so let's put the kg unit next to the ? in the denominator.

[tex] \frac{0.427kg}{1}* \frac{?}{?kg} [/tex]

Now, glance back at your conversion rate and look at what the over unit is. In this case it is pounds (lb). So put that next to the ? in the numerator.

[tex] \frac{0.427kg}{1}* \frac{?lb}{?kg} [/tex]

The ? are to be filled in with the conversion rate. Meaning 2.2lb per 1kg. So wherever there is the unit for lb, you put 2.2 in. Same thing for the kg unit.

[tex] \frac{0.427kg}{1}* \frac{2.2lb}{1kg} [/tex]

Multiply across. (Multiply the numerator by the numerator, and denominator by denominator!)

The problem can be rewritten as this:
0.427kg * 2.2lb

The final answer to this problem is:
0.427kg*2.2lb = 0.939

AKA: B

Which of the following are valid names for the triangle below? Check all that apply.

A. KE
B. KMD
C. DKM
D. SKMO
E. MDK
F. SKD

Answers

I would say:
B. KMD
C. DKM
and
E. MDK.

In reference it points to the edges which is how a triangle is usually depicted as.

I hope that helps clarify it, have a great rest of your day! ^ ^
{-Ghostgate-}

Answer:

KMD,MDK,DKM

Step-by-step explanation:

Find the inverse of f(x)=2x^2+5

Answers

f^-1(x) = sqrt 2(-5+x)/2, - sqrt 2(-5+x)/2

The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x

Answers

Substitute the x for 2 and the y for 12 in each equation. The first choice works out. (12)=6(2), 12=12. This means the answer is true. A is your answer.

The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?

A) 10x + 3y - 1 = 0
B)x + 3y + 10 = 0
C) x + 3y - 10 = 0

Answers

i would say the answer is c hope that helps

Your answer:
C) x + 3y - 10 = 0

Hope it helped : )

How many real solutions does the function shown on the graph have?
Can someone explain?
One, Two, None, or can't be determined?

Answers

This is a quadratic function.y = a x² + b x + cHere the function crosses x-axis at the points: ( - 4, 0 ) and ( 0 , 0 ).The function is y = x² + 4 x.The zeroes are: x1 = - 4, x2 = 0.Answer:Two real solutions.

If the first equation is multiplied by 3 and then the equations are added, the result is _____.

3x + y = 3
x - 3y = -2

10x = 11
10x = 7
8x = 7

Answers

10x=7
x=7/10, you could work backwards to find y if it asked

Answer: The correct option is (B) [tex]10x=7.[/tex]

Step-by-step explanation: The given equations are :

[tex]3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.

Now, multiplying equation (i) by 3, we get

[tex]3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

adding equation (iii) to equation (ii), we get

[tex](9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.[/tex]

Thus, the required result is [tex]10x=7.[/tex]

Option (B) is CORRECT.

What is the result if you divide -12x8y8 by 3x4y2? ...?

Answers

Answer:

-4x⁴y⁶

Step-by-step explanation:

To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.

When dividing variables with the same base, we subtract the exponents:

x⁸ / x⁴ = x⁸-⁴ = x⁴

Similarly, y⁸ / y² = y⁸-² = y⁶

Now, let's divide the coefficients:

-12 / 3 = -4

Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:

-4x⁴y⁶

Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.

Answers

Final answer:

Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.

Explanation:

A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.

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Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.

A. Divide by 2 from both sidesB. Square root both sidesC. Divide by 6 from both sides
D. Subtract 4 from both sidesE. Subtract 8 from both sidesF. Square both sides

Answers

The answer is
F. Square both sides
D. Subtract 4 from both sides
C. Divide by 6 from both sides

√(6x +4) = 8

Square both sides:
(√(6x +4))² = 8²
6x + 4 = 64

Subtract 4 from both sides
6x + 4 - 4 = 64 - 4
6x = 60

Divide by 6 from both sides
6x/6 = 60/6
x = 10

Answer:

First F, then D, then C

5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee

Answers

a - mass of the lollipop
b - mass of yhe toffee

5a + 12b = 61
10a + 13b = 89

10a = 89 - 13b
a = 8.9 - 1.3b

5*(8.9 - 1.3b) + 12b = 61
44.5 - 6.5b + 12b = 61
5.5b = 16.5
b = 3

a = 8.9 - 1.3*3 = 5

a = 5
b = 3

Lollipop has a mass 5g and toffee 3g

The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?

Answers

each week the number infected doubles. the formula would be 2(2(2(96))). the sum is equal to 768.

768.

factor 6x^2+11x+4 ...?

Answers

(3x + 4)(2x + 1) is it factorised

15x+1= y solve for x ...?

Answers

15x + 1=y subtract 1 from both sides

15x=y-1 divide both sides by 15

x=(y-1)/15

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.

What is the missing step of her solution?

Add 10.4 to both sides.
Add negative 10.4 to both sides.
Multiply both sides of the equation by 10.4.
Divide both sides of the equation by 10.4.
Mark this and return

Answers

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

[tex]2.3 + 8(1.3x-4.75) = 629.9[/tex]

We need to solve the above equation,

[tex]2.3 + 8(1.3x-4.75) = 629.9\\\\2.3+10.4x-38=629.9\\\\-35.7+10.4x=629.9\\\\10.4x=629.9+35.7\\\\10.4x=665.6\\\\\text{ Dividing 10.4 on both sides}\\\\x=\frac{665.6}{10.4}\\\\x=64[/tex]

Hence, Divide both sides of the equation by 10.4.

Therefore, Last Option is correct.

Answer:

Step-by-step explanation:

What is the answer to 0.1 * n = 89.9 ?

Answers

divide both sides of the equation by 0.1 which leaves you with
n = 89.9/0.1 = 899

The Answer to this question is N=899
How? Let's solve your equation step by step.

0.1n=89.9

Step 1: divide both sides by 0.1.

0.1n = 89.9
0.1 0.1

so 89.9/0.1 we get

n=899

Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold 5/8 of her boxes.which girl has sold a greater fraction of her boxes of fruit?Draw a model and Explain

Answers

Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .
Find the radius of a circle that has a circumference of 16.

Answers

The answer is r = C/2π; r = 8/π

C = 2πr

Divide both sides by 2π:
C/2π = 2πr/2
C/2π = r

r = C/2π
C = 16
r = 16/2π
r = 8/π

Answer: 8 units

Step-by-step explanation:

Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.

To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get

[tex]r=\dfrac{C}{2\pi}[/tex]

Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]

Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]

Hence, Circumference of the circle = 8 units

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