100e^0.125t=200

A. t= ln(16)
B. t= ln(256)
C. t= 8ln(100)
D. t= 0.08ln(200)

This problem would be best modeled by an inequality.

Let t = the number of hours.

18 + 5t < 78

5t < 60

t < 12

The way the question sounds, it would not be a lessthan or equal to, because they want to spend less than 78.  It would be a less than or equal problem if they said "no more than 78"

Answer:

41 MPH

Step-by-step explanation:

Let's assume the original speed with or without, is around 82 miles, within 2 hours.

So in this case, it'd be half the miles, half the hours!

Solution:

Let the speed of cyclist without any wind = x miles per hour

   Speed of cyclist when speed of wind increases by 2 miles per hour =              (x + 2 )miles per hour

Also , relation that is given between speed of cyclist without wind and with wind is :Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind.

Converting this statement into terms of equation:

[tex]\frac{80}{x}-\frac{80}{x+2}=1  \\\\ 160 = x^2 + 2x \\\\ x^2 + 2x - 160=0 \\\\ x= \frac{-2\pm\sqrt{4+640}}{2}, {\text {As speed can't be negative, so taking positive value of x}} Gives,  x =11.68[/tex]→→→To solve the Quadratic equation of type : a x² + b x + c=0, I have used discriminant method, to find the roots, which is x= [tex]\frac{-b\pm\sqrt{D=b^2-4ac}}{2a}[/tex]

Speed of cyclist without wind = 11.68 miles per hour

Speed of cyclist when wind is flowing = 11.68 +2 = 13.68 miles per hour

For this case we have:

By definition, two points are needed to find the equation of a line. We have a series of points given by:

[tex](x, y) = (time, cost)[/tex]

We chose two points:

[tex](t1, c1) = (1,180)\\(t2, c2) = (2,240)[/tex]

By definition, the formula of the slope is given by:

[tex]m =\frac{(c2-c1)}{(t2-t1)}[/tex]

Substituting:

[tex]m =\frac{240-180}{2-1}[/tex]

[tex]m =\frac{60}{1}\\m = 60[/tex]

Being a line of the form [tex]y = ax + b[/tex], we substitute a point and the slope found to find the cut point b.

[tex]180 = 60 * 1 + b\\180 = 60 + b\\b = 180-60\\b = 120[/tex]

Thus, the equation of the line is given by:

[tex]y = 60x + 120[/tex]

Answer:

Option C

could you rewrite it or is it (54-6)+54/6

because that would be 48+9=57

Answer:

6

Step-by-step explanation:

The x-intercept is the x-coordinate of the point on the line that intersects the x-axis. At the x-axis, all y-coordinates are 0. Let y = 0, and solve for x.

2x – 3y = 12

2x - 3(0) = 12

2x = 12

x = 6

The x- intercept of the graph is 6

The problem can be solved by following steps

2x-3(0)=12

2x=12

x=6

Hence the x-intercept is 6

Learn more about X-intercept here

https://brainly.com/question/17932786

#SPJ2

Your answer is B.47 degrees

Answer:the answer is b  4r-s

Step-by-step explanation:

Answer: The correct answer is (B.)   4^r-s

Step-by-step explanation:

When dividing exponents you subtract them by each other, but because r and s are not the same and represent a different type of number, we just show that they were subtracted by each other.

4^r-s

Answers to what? There's no image or anything on here

28000 + 3000x = 36000 + 2000x

Subtract 2000x from both sides: 28000 + 1000x = 36000

Subtract 28000 from both sides: 1000x = 8000

Divide both sides by 1000: x = 8.

Let me know if there is more to the problem!

28,000+3,000=31,000+2000=33000

She need to work a total of 6 hours of being a hostess because if she just works 5, she will not get the total $150 she needs to earn. I took this test and I got it correct.

The inequality that represents the number of hours Lynn needs to work both as a hostess and babysitting in order to earn at least $150 in a week is 7.5h + 10b ≥ 150. Here 'h' is the number of hours Lynn works as a hostess and 'b' is the number of hours she babysits.

To solve this mathematics problem, you need to set up an inequality. Lynn works at the restaurant earning $7.50 per hour (represented by 'h') and babysits earning $10 per hour (represented by 'b'). Given that she needs to make at least $150 in one week, the expression of her earnings from both jobs must be greater than or equal to 150. Hence the inequality will be 7.5h + 10b ≥ 150.

The coefficient of 'h' represents the wage rate Lynn earns per hour working as a hostess and 'b' is the number of hours she babysits. The sum of her earnings from both jobs is her total income. This sum must be at least $150, hence the 'greater than or equal to' sign.

https://brainly.com/question/32625151

#SPJ2

Hello!

Solve for m.

Answer:⇒⇒⇒⇒⇒⇒⇒[tex]m=\frac{-n+p}{10}[/tex]

Step-by-step explanation:

Add p from both sides.

[tex]10m-p+p=-n+p[/tex]

Simplify.

[tex]10m=-n+p[/tex]

Divide by 10 from both sides.

[tex]\frac{10m}{10}=-\frac{n}{10}+\frac{p}{10}[/tex]

[tex]m=\frac{-n+p}{10}[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

The solution of the equation 10m - p = - n for m is (p - n)/10.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

Given the equation,

10m - p = - n

10m = -n + p

10m = p - n

m = (p - n)/10

Hence "The solution of the equation 10m - p = - n for m is (p - n)/10".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Ok, so first you have to take the 5/6th off. This would be 24 4/6 - 5/6th which would be 23 and 5/6ths. The next step would be to turn the 5/6 into a decimal. That would be 0.83333 so 23.83 divided by 11.  The answer would be 2.166363664 according the the calculator. HOPE THIS HELPS!!!

Answer:

[tex]2\frac{1}{6}[/tex] foot

Step-by-step explanation:

John has a roll containing  [tex]24\frac{2}{3}[/tex] feet of wrapping paper.

He must cut off  [tex]\frac{5}{6}[/tex] feet.

Now the left over wrapping paper =  [tex]24\frac{2}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{74}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{148-5}{6}[/tex]

                                                      =  [tex]\frac{143}{6}[/tex]

                                                      =  [tex]23\frac{5}{6}[/tex]

He wants to divide the left over wrapping paper into 11 pieces.

[tex]23\frac{5}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ×  [tex]\frac{1}{11}[/tex]

[tex]\frac{143}{66}[/tex]

[tex]\frac{13}{6}[/tex]

[tex]2\frac{1}{6}[/tex] foot

Each piece would be  [tex]2\frac{1}{6}[/tex] foot long.

A three dimensional object grow from :(C). two dimensional

A three dimensional object is one that is more real and tangible in our present world. A three dimensional object an object that has both Height, width and depth.

A three dimensional object consists of man and mostly all we see every where in our daily living.

The three dimensional object is very important, and that is why it is being employed by different organization like the film industry, because it make it look real and tangible.

In conclusion, A three dimensional object grow from two dimensional

Learn more about three dimensional object: brainly.com/question/12584081

#SPJ5

Answer:

The answer is B [tex]4^{6}[/tex].

Step-by-step explanation:

The number of horses is given by the expression;

[tex](4^{2} )^{3} *4^{0}[/tex]

First we can simplify the value to the left of the multiplication,

[tex](4^{2} )^{3}[/tex]

This is a indices multiplication so we can rewrite this as,

[tex]4^{6}[/tex]

Now we can look at the value that is to the right of the multiplication.

[tex]4^{0}[/tex]

If you take any number that is not 0 and it's index is 0 the value of that number will be one.

Therefore, [tex]4^{0}[/tex] = 1

Now we can write the full expression as;

[tex](4^{2} )^{3} *1[/tex]

=[tex](4^{2} )^{3}[/tex]

=[tex]4^{6}[/tex]

Therefore the answer is B [tex]4^{6}[/tex].

The better deal is 8 ounces of shampoo for $0.89.

To determine which deal is better, we need to compare the price per ounce for each shampoo option. For the first option, we have 8 ounces for $0.89, which means each ounce costs $0.11. For the second option, we have 12 ounces for $1.47, which means each ounce costs $0.1225. Therefore, the better deal is 8 ounces of shampoo for $0.89 as it has a lower price per ounce.

https://brainly.com/question/30608314

#SPJ2

An expression is a collection of numbers and variables in a given operation, the equivalent expression of the given expression 15x + 24ax is 3x(5+8a).

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

The example of expression is 2x + 3y = -8. Here x and y is referred to as variable and 2,3. And 8 will be constant.

Another example of an algebraic expression is 4x + 8x² < 56.

The given expression is,

15x + 24ax

Taking x as common

x(15+24a)

Taking 3 common

3x(5+8a)

Hence "The equivalent expression of the given expression 15x + 24ax is 3x(5+8a)".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

I think its B (top right)

Large number and small number are 44 and 17

Given:

Sum of two number = 61

Find:

Both numbers

Assume;

Small number = a

Large number = 3a - 7

Computation:

a + 3a - 7 = 61

4a - 7 = 61

4a = 61 + 7

4a = 68

a = 68 / 4

a = 17

So,

Small number = 17

Large number = 3a - 7

Large number = 3(17) - 7

Large number = 51 - 7

Large number = 44

Learn more:

https://brainly.com/question/16970036?referrer=searchResults

The factors of 8 are...

8 is a composite number because has more numbers than itself and 1. A prime number like 5, only has 2 factors ( 1 and 5).

x=3

multiply 2 to both sides to cancel denominator

subtract 8x from both sides and then divide by 2

[tex]\dfrac{6+8x}{2}=5x\\\\\dfrac{6}{2}+\dfrac{8x}{2}=5x\\\\3+4x=5x\qquad|\text{subtract 4x from both sides}\\\\3=x\to x=3[/tex]

(- 1, 2 ) and ( -1, 0) have the same x-value

for the graph to represent a function there must be only one y- value for each x- coordinate. Here there are 2 so this is not a function

This answer can be found by deviding 225 by 12. The exact answer is 18.75, but obviously you can’t put 3/4 of a flower in a vase. In that case, the best estimate would be 18-19 flowers, or just 19.

now if I'm correct the answer should be C I hope I was a good help for you

Answer:

No, the two events "being in high school" and "GPA above 3.0" are not independent.

Step-by-step explanation:

If two events A,B are independent [tex]P(A|B)=P(A)[/tex]

P(high school | above 3.0) = [tex]\frac{14}{40}=0.35[/tex]

P(high school) = [tex]\frac{60}{100}=0.6[/tex]                                                                                                

So,0.35 ≠ 0.6

Since P(high school | above 3.0) ≠ P(high school), the events "being in high school" and "GPA above 3.0" are not independent.

The proportion of high school students with a GPA above 3.0 differs from the proportion of college students with a GPA above 3.0. Therefore, the events 'being in high school' and 'GPA above 3.0' are not independent according to the data provided.

To determine if "being in high school" and "GPA above 3.0" are independent events, we can check if the proportion of high school students with a GPA above 3.0 is the same as the proportion for college students. If the events are independent, the proportions should be equal.

From the two-way frequency table provided, we can calculate the proportions. There are 60 high school students and 40 college students. Among these, 14 high school students and 26 college students have a GPA above 3.0.

The proportion of high school students with a GPA above 3.0 is 14 out of 60, which simplifies to about 0.233.

The proportion of college students with a GPA above 3.0 is 26 out of 40, which simplifies to about 0.650.

Because these proportions are not equal, we can conclude that the events are not independent. Being in high school appears to have an impact on whether a student has a GPA above 3.0, based on this data set.

Therefore, the events 'being in high school' and 'GPA above 3.0' are not independent according to the data provided.

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

Distributive property.

156 = 2l + 2l - 24

Combine like terms.

156 = 4l - 24

Add 24 to both sides.

180 = 4l

Divide both sides by 4.

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.

The answer demonstrates the associative property through the multiplication of 4x6x10, resulting in 240.

Multiplication Properties Illustrated in 4x6x10:

The property of associative property is illustrated in 4x6x10. This means that changing the grouping of the numbers being multiplied does not change the result.

Answer:

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

Step-by-step explanation:

Let the number of cats be x . Let number of birds be y and Let number of fishes be z.

number of hamsters = 2 number of cats

                                    =2x

birds +cats + hamsters + fish = 15

 y +x +2x + z  = 15  

y +3x + z =  15

then number of hamsters = 2x

birds has legs = 2

hamster legs = 4

cats legs = 4

total legs  =40

2y+4x+4(2x) =40

2y+12x = 40

y+6x = 20   ,Since x ,y z are natural number   ,since x ,y and z are numbers of pets of each kind which have to be natural number ,therefore

Case 1 for y = 2   x = 3

for y = 8  x = 2

for y = 2 and x =3 ,we have

2+3(3) +z = 15

2+9+z = 15

11 +z = 15

 z = 15 -11 = 4

Case 2

for y= 8 and x=2 ,we have

8 +3(2) + z = 15

8 +6 +z = 15

   z =15-14 = 1

We have two answers for this problem

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

For case 1   fish % =   [tex]\frac{1}{15} x100[/tex]=6.67 %

For case 2  fish =   [tex]\frac{3}{15} X100=20%[/tex]

Tina has 3 cats, 6 hamsters, 8 birds, and 0 fish, therefore 20% of her pets are cats.

First, let's denote the number of cats as 'x'. According to the question, the number of hamsters, which have twice as many as cats, is '2x'. Every cat and hamster has 4 legs. So the total number of legs from cats and hamsters is 4x (from cats) + 8x (from hamsters) = 12x. We know that the total number of legs is 40, so we can solve the equation 12x=40, therefore 'x', the number of cats, is approximately 3, making hamsters 6 (2x). This adds up to 9 pets, leaving us with 15 - 9 = 6 birds and fish. Since birds and fish have two legs and zero legs, respectively, the last 16 legs must belong to birds. That leaves the remaining pets (6-8=0) as fish.

As for the percentage of Tina's pets that are cats, we use the formula for finding a percentage:  (number of cats / total number of pets) * 100. So, (3 / 15) * 100 = 20%. Therefore, "20% of Tina's pets are cats".

https://brainly.com/question/31606357

#SPJ3

Answer:

84 acres

Step-by-step explanation:

It will take 1000 days to spend 1,000,000 if you spend 1,000 per day.

1000 days

Hope it helps ❤️