The late fee for a library book is $2.50 plus an additional 20 cents per day. If the total charge was 3.10, how many days late was the book?

Answer:

the pic is hard to see...

Answer:

[tex]part \: a. \\ ans \: is \: x = log_{2}( \frac{5000}{300} )[/tex]

[tex]part \: b. \\ ans \: is \: x = log_{2}( \frac{50}{3} ) = 4.1 \: min[/tex]

Answer:

Step-by-step explanation:

y = a(x - p)² + q  - the vertex form of an equation of a parabola with a vertex (p, q)

(-2, 5)  ⇒  p = -2,   q = 5

y = a(x + 2)² + 5   - the vertex form of an equation of the parabola with vertex (-2, 5)

y-intercept of -27 means x=0,  y=-27

-27 = a(0 + 2)² + 5

-27 -5 = a(2)² + 5 -5

-32 = 4a

  a = -8

The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:

                              f(x) = -8(x + 2)² + 5

Answer:

39.01

Step-by-step explanation:

26 - n = 9.4

26 - 9.4 = n

n = 16.6

If you need the cost of all the gallons it costs $39.01

Answer:

Find the volume of a concrete block that is 2.5 metres long,. 12 centimetres wide and. 10 centimetres high. Two of the dimensions, the width and height,

Answer:

480,000 cm3

Step-by-step explanation:

give crown please ( brainliest )

Answer:

y = 20

Step-by-step explanation:

[tex]y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20[/tex]

Answer:

option c

Step-by-step explanation:

if y= x^2 e^x then the derivative is x^2 * e^x + e^x * 2x

take e^x and x as commom so we get e^x * x ( x+2)

[tex]\frac{1}{4}[/tex]Answer:

False

Step-by-step explanation:

A barrel with a 60 liter capacity is half full, therefore there are 30 liters in the barrel.

If we use 240 bottles with a capacity of 1/4 liters, how many liters do we need to fill the 240 bottles?

240 x [tex]\frac{1}{4}[/tex]L = [tex]\frac{240}{4}[/tex] = 60L

Therefore, it is false because we only have 30 liters, we can't fill the 240 bottles

Answer:

3628800

Step-by-step explanation:

The product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10

Step 1: Multiply 1 by 2:

1 x 2 = 2

Step 2: Multiply the result by 3:

2 x 3 = 6

Step 3: Multiply the result by 4:

6 x 4 = 24

Step 4: Multiply the result by 5:

24 x 5 = 120

Step 5: Multiply the result by 6:

120 x 6 = 720

Step 6: Multiply the result by 7:

720 x 7 = 5040

Step 7: Multiply the result by 8:

5040 x 8 = 40,320

Step 8: Multiply the result by 9:

40,320 x 9 = 362,880

Step 9: Multiply the result by 10:

362,880 x 10 = 3,628,800

Therefore, the product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.

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Answer:

1.4x10^1

Step-by-step explanation:

1.4 multiplied by 10 to the power of 1 is 14

You could also just put in 14.0 because that is also a decimal

Hope this helped!

Answer:

1.4

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When we multiply numbers of the same base regardless of the exponent, we add the exponents together.

So,

[tex]2 {}^{x} \times 2 {}^{y} = 2 {}^{x + y} [/tex]

Similarly for this case multiplying the 3 7's ^1/3 would simply mean we are adding 3 1/3's together, to get 7^3/3, which is essentially 7^1=7

Answer: the answer is number 4

Step-by-step explanation:44444

\444444444444444444444

Answer: its the third one

Step-by-step explanation: im preety sure thats it

Answer:

a = j

Step-by-step explanation:

because a and j are written in the same place they are the same

Answer: See below

Step-by-step explanation:

[tex]100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}100[/tex]

[tex]\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}[/tex]

[tex]Simplify[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}[/tex]

[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)[/tex]

[tex]\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}214[/tex]

[tex]\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)[/tex]

[tex]-\ln \left(2\right)t=-214\ln \left(5\right)[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)[/tex]

[tex]\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}[/tex]

[tex]t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}[/tex] or [tex]\mathrm{Decimal}:\quad t=496.89261\dots[/tex]

Answer:

[tex]\sf t= 496.9[/tex]

solving steps:

[tex]\rightarrow \sf 20=\:100\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{divide \ both \ side \ by \ 100}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{5} =\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{apply \ exponent \ rules}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = ln(\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}})[/tex]

[tex]\sf \bold{simplify}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = \dfrac{t}{214} ln\:\left(\dfrac{1}{2}\right)}[/tex]

[tex]\hookrightarrow \sf \dfrac{ln(\dfrac{1}{5}) }{ln(\dfrac{1}{2})\right)}} = \dfrac{t}{214}[/tex]

[tex]\hookrightarrow \sf \dfrac{214 \ ( \ ln(\dfrac{1}{5}) \ ) }{ln(\dfrac{1}{2})\right)}} = {t}[/tex]

[tex]\hookrightarrow \sf t= 496.9[/tex]

Answer:

use Pythagoras theorem to get the x

Answer:

-]$1784_- ₱14200

Step-by-step explanation:

dimentional fence

Answer:

Transitive Property

Step-by-step explanation:

Let's define the following word bank answer choices:

Complementary Angles  ⇒ Angles that add up to 90 degree

Vertical angles ⇒  pair of opposite angles formed by intersecting lines

Reflexive Property ⇒ equality states that a number is always equal to itself

Transitive Property ⇒ All real numbers x ,y, and z, if x=y and y=z , then x=z.

Solve:

Base on the given we know that it not complementary angles because it doesn't form 90 degree (right angle).

We Also know that it not vertical angles because it doesn't  shows angles opposite each other where two lines cross.

In addition, the given doesn't shows If a is a number, then. a = a. a=a.

Thus, Transitive Property is the answer.

[RevyBreeze]

Answer:

454 people dont have a home phone

Step-by-step explanation:

842/100=8.42

8.42×54= 454.68

you cant have .68 of a person so its 454

Answer:

Please see below.

Step-by-step explanation:

100% = 842

50% = 421

10% = 84.2

1% = 8.42

4% = 33.68

54% = 454.68

You can round up or down to 454 or 455.

Please let me know if I'm incorrect!

Answer:

a. 94 square centimeters

Step-by-step explanation:

Answer:

-1.6666......   ( -1.6 recurring)

Step-by-step explanation:

      1.666     <  Quotient

      ------------------------------

3 ) 5.000

    3 0

     20

     18

       20

       18

         20

         18

The 6 is recurring so the answer is 1,666..... * -1 = -1.666.....

Answer:

The arithmetic means are;

6.5 , 2.75, 4.125 , 4.8125

Step-by-step explanation:

We start by finding the mean of the two numbers;

(14-1)/2 = 13/2 = 6.5

Next;

(-1 + 6.5)/2 = 5.5/2 = 2.75

Next

(2.75 + 5.5)/2 = 4.125

Next;

(4.125 + 5.5)/2 = 4.8125

The approximately 99.7% of the bags will have lengths within 3 standard deviations.

We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.

The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

So the approximately 68% data falls within 1 standard deviation of the mean.

and the approximately 95% of data falls within 2 standard deviation of the mean.

Now the approximately 99.7% data falls within 3 standard deviation of the mean.

As the weights of 2-pound bags of best dog food are normally distributed,

Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.

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Answer:

option d

Step-by-step explanation:

A correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.

Correlation coefficient, r, is a measure of how strong the relationship between two variables is.

A correlation coefficient, r, that is closer to 1 or -1 signifies a strong relationship between two variables and vice versa.

Therefore, a correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.

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One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.

For the first two we have:

11 - 10 = 1

for the second and third:

21 - 11 = 10

for the fourth and third:

32 - 21 = 11

for the fifth and fourth:

53 - 32 = 21

We already can see the pattern, the n-th term can be written as:

Aₙ = Aₙ₋₁  + Aₙ₋₂

This means that the missing number, the next one, will just be equal to the sum of the two previous ones.

Then the next number is:

N = 138 + 223 = 361

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Answer:

48

Step-by-step explanation:

878.24 - 399. 2 = 479.04

479.04 / 9.98 = 48

The best example of nonresponse bias from the scenario of this airline surveying customers is that Satisfied customers might be less likely to complete the survey than dissatisfied customers.

Nonresponse bias refers to a situation that arises where people are less inclined to provide feedback because their experience was different from those who did.

Satisfied customers would be less inclined to talk about their overall satisfaction than unsatisfied customers as the latter would use the opportunity to make their dissatisfaction known.

Find out more on nonresponse bias at https://brainly.com/question/25116315.

Answer:

16.77ft

Step-by-step explanation:

Answer:

101°

Step-by-step explanation:

angle 5 = angle 3(interior alternate angles)

so angle 2 = 101

angle 2=angle 4 = 101°(vertically opposite angles)