Choose the most appropriate unit to
measure the length of each.
1. airport runway
2. bridge​

Answer:

B

Step-by-step explanation:

Y is the starting point so it would be y=12322 and it becomes 1.18 because you add 100 to 18

The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ. Option A is correct.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The number of users of a new smartphone app increases by %  = 18

a is the number of users at 1:00 p.m = 12,322

The exponential equation shows the number of users x hours after 1:00 p.m. is;

y=a(z)ˣ

Where,

a is the initial value

z is the percentage increment

y is the number of users after the given period

If the initial value of the percentage is 100.The value after the given time;

z = 100 + 18

z = 118

The z in the percentage form is 1.18.

The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ.

Hence, option A is correct.

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Answer:

$2680

Step-by-step explanation:

3.00-1.50= 1.50 profit per hotdog

1200+800=2000 expenses

1.50 (3120) = 4680

4680-2000=

2680 in profit

Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

[tex] \\ [/tex]

Step-by-step explanation:

How much did they eat all together?

[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]

[tex] \\ [/tex]

How much was left over?

[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]

Answer:

62%

Step-by-step explanation:

The proportion of those infected who are caucasian is is the number of caucasians infected divided by the total number of infected.

The percentage is the proportion multiplied by 100.

We have that:

641,628 caucasians

1,034,884 people infected

641,628/1,034,884 = 0.62

0.62*100 = 62%

Answer:

Rewrite the division problem as -9/2 (4,3)

 the quotient: -6

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.

Answer:

Step-by-step explanation:

quarters = 25 cents so 3 quarters is 75

nickels= 5 cents so 10

pennies= 11

11+10+75

Answer:

96¢

Step-by-step explanation:

25+25+25=75

75+5+5=85

85+1+1+1+1+1+1+1+1+1+1+1=96

Therefore Nathan has 96¢

Hope that helps! If you have any further questions comment down below or message me! Good luck!

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: mark obtained in an aptitude test by a candidate.

This variable has a mean μ= 128.5 and standard deviation σ= 8.2

You have the data of three scores extracted from the pool of aptitude tests taken.

148, 102, 152

The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134

I hope this helps!

Answer:

6.

Step-by-step explanation:

2.3 repeating = 2 1/3

So 3 2/3 + 2 1/3

= 5 + 1

= 6.

Answer: 6

Step-by-step explanation:

[tex]3\frac{2}{3}+2.3^-[/tex]

Let's begin by converting the repeating decimal to a fraction and then to a mixed number.

Take the number:

[tex]2.3^-[/tex]

Let x (our result) be equal to that number.

[tex]x=2.3^-[/tex]

Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.

[tex]10x=2.3^-*10[/tex]

This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.

[tex]10x=23.3^-[/tex]

Subtract this and the original equation ([tex]x=2.3^-[/tex])

[tex]10x=23.3^-\\-x=2.3^-[/tex]

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

10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21

[tex]9x=21[/tex]

Divide by 9

[tex]x=\frac{21}{9}[/tex]

Simplify by 3.

21/3=7

9/3=3

[tex]x=\frac{7}{3}[/tex]

Now, convert to a mixed number. To do this, divide.

7/3=2

6

-------

1

The 2 is the whole number, 1 is the numerator and 3 the denominator.

[tex]2\frac{1}{3}[/tex]

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

Now we can solve this;

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Add the whole numbers and the fractions separately.

[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]

[tex]5\frac{3}{3}[/tex]

3 and 3 can be simplied.

3/3=1

3/3=1

[tex]5\frac{1}{1}[/tex]

The result is 1, add this to the 5.

[tex]5+1=6[/tex]

Answer:

square feet

Step-by-step explanation:

1/2 a feet is the full square is half

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

Answer:

0.83% probability that he actually typed them in alphabetical order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The number of ways in which n terms can be arranged is given by:

[tex]A_{n} = n![/tex]

Desired outcomes:

Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].

Total outcomes:

We want to arrange 5 entries. So

[tex]T = A_{5} = 5! = 120[/tex]

Probability:

[tex]p = \frac{D}{T} = 0.0083[/tex]

0.83% probability that he actually typed them in alphabetical order.

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

Answer:

(8, 6)

Step-by-step explanation:

First, we find the distance between the two points.

Both have the same x-coordinate, 8, so the distance is simply the difference in y.

|11 - 1| = 10

The distance between the points is 10.

Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.

The midpoint of a diameter is the center of the circle.

(1 + 11)/2 = 12/2 = 6

The center o the circle is (8, 6).

Answer:

you have a 25% chance of picking any marbel

Step-by-step explanation:

you have 4 marbels and each is worth 25.

Answer:

Choosing green marble: 1/4

Choosing Red marble: 1/3

Step-by-step explanation:

The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3

Answer:

Step-by-step explanation:

It is assumed the first winner is part of the second drawing as well

There are 4 people and two prizes

The probability of each person to win is 1/4

The first winner has 1/2 probability to get a mug

The second winner, if it is Jack, gets either prize

The combined probability is:

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

Answer:

The solution

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]

Step-by-step explanation:

Explanation:-

Consider the initial value problem y′+3 y=9 t,y(0)=7

Step(i):-

Given differential problem

                           y′+3 y=9 t

Take the Laplace transform of both sides of the differential equation

                L( y′+3 y) = L(9 t)

 Using Formula Transform of derivatives

                L(y¹(t)) = s y⁻(s)-y(0)

   By using Laplace transform formula

              [tex]L(t) = \frac{1}{S^{2} }[/tex]

Step(ii):-

Given

             L( y′(t)) + 3 L (y(t)) = 9 L( t)

            [tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

            [tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

Taking common y⁻(s) and simplification, we get

             [tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]

             [tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

Step(iii):-

By using partial fractions , we get

[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]

  [tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]

 On simplification we get

  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

 Put s =0 in equation(i)

   9 = B(0+3)

   B = 9/3 = 3

  Put s = -3 in equation(i)

  9 = C(-3)²

  C = 1

 Given Equation  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

Comparing 'S²' coefficient on both sides, we get

  9 = A s²+3 A s +B(s)+3 B +C(s²)

  0 = A + C

put C=1 , becomes A = -1

[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]

Step(iv):-

[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]

Applying inverse Laplace transform on both sides

[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]

By using inverse Laplace transform

[tex]L^{-1} (\frac{1}{s} ) =1[/tex]

[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]

[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]

Final answer:-

Now the solution , we get

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]

Answer:

  108 square feet

Step-by-step explanation:

When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.

So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.

Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:

  A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet

Answer:

its C

Step-by-step explanation:

Answer:

The true statements are:

The cost of 9 magnets is $3.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

9 magnets = $3

∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

Answer:

it is d

Step-by-step explanation:

idk just brainlyest

Answer:

D...............

Step-by-step explanation:

Answer:

C. (x + 8) (x + 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:

[tex]x^2 + 15x + 56[/tex]

[tex]x^2 + 7x + 8x + 56[/tex]

Group:

[tex](x^2 + 7x) (8x + 56)[/tex]

Take out the GCF (Greatest Common Factor):

x(x + 7)  8(x + 7)

(x + 8) (x + 7)

Answer:

  C.  65

Step-by-step explanation:

Compare to the standard form ...

  ax² +bx +c

to find the values of a, b, c. They are ...

  a=2, b=3, c=-7

The discriminant is ...

  d = b² -4ac

  d = (3)² -4(2)(-7) = 9 +56

  d = 65 . . . . . . matches choice C

Answer:

1 is B

2 is B

3 is D

4 is C

Step-by-step explanation:

Dont care enough to explain all of them

Answer:

$3900.

Step-by-step explanation:

If retirement is taken at the age of 67 years, income  = $1300 per month.

% Loss, if retirement taken at the age of 62 years = 25% per month

Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years

[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]

We know that there are 12 months in an year.

So, annual loss in total annual income over one year:

Loss in dollars per month [tex]\times[/tex] 12 :

325 [tex]\times[/tex] 12 = 3900$

Answer: $3,900

Step-by-step explanation:

What you usually make:

$1300 * 12 months = $15600

What you make with the cut:

$1300 * 0.75 = $975

* 12 months = $11700

15600-11700 = $3900

Answer:

The center is (2,6) and the radius is 8

Step-by-step explanation:

The answer is center: (2,6); radius: 8

Answer:

area of parallelogram= length of base × perpendicular height

8.7×4.9

= 42.63mm²

Answer:4 and 5

Step-by-step explanation:

√(20) is approximately 4.5 so it is between 4 and 5

Answer  

B. l and lV

Step-by-step explanation:

The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.

The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.

To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:

Cost = Revenue

65.16n + 1,500 = 98.75n   (for equation I)

32.59n = 1,500

n = 46.05

So the break-even point for equation I is 46.05 units.

Cost = Revenue

35.79n + 6,700 = 56.95n   (for equation II)

21.16n = 6,700

n = 316.3

For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.

Cost = Revenue

65.16n + 1,500 = 56.95n   (for equation IV)

8.21n = -1,500

n = -182.7

The negative value for n means that equation IV does not have a break-even point.

Cost = Revenue

35.79n + 6,700 = 98.75n   (for equation III)

62.96n = 6,700

n = 106.2

The break-even point for equation III is 106.2 units.

Therefore, the pair of equations that will never break even is (d) I and IV.

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Your question seems incomplete, the probable complete question is:

The table below shows possible cost and revenue equations for a manufacturer of cameras.

Cost

65.16 n + 1,500

I

Cost

35.79 n + 6,700

II

Revenue

98.75 n

III

Revenue

56.95 n

IV

Which of the following pairs of equations will never break even?

a. I and III

b. II and IV

c. II and III

d. I and IV