A color printer prints 11 pages in 4 minutes.
How many pages does it print per minute?

Answer:

y = 4/3x - 3

Step-by-step explanation:

Use the slope intercept equation, y = mx + b, where m is the slope and b is the y intercept:

Plug in the point given and the slope to find b:

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

Then, plug this and the slope into the equation:

y = 4/3x - 3 will be the equation

Answer: the cost of a similar scientific calculate in 2019 will be $19.01

Step-by-step explanation:

Given that;

in 1970 cost of S.C = $96.50

in 2016 cost of same calculator = $21

In 2019 cost of a similar calculator = ?

Assuming the exponential decay model applies

dN/dt = -λN

we know that λ is the decay constant

⇒ N(t) = N₀e^-λt

N(t) is price at time t year, N₀ is initial price,

so t = 0 in 1970 thus N₀ = 96.50

also t = 46 in 2016 thus N₄₆ = 21

substituting into our initial expression

N(t) = N₀e^-λt

N(46) = N₀e^-λ×46

21 = 96.50e^-46λ ⇒ In 21/96.50 = -46λ

= -1.5250 = - 46λ

λ = -1.5250 / -46

λ = 0.03315

t = 0 in 1970 thus N₀ = 96.50

also t = 49 in 2019 thus N₄₉ = ?

so

using our initial expression again

N(49) = N₀ e^-49λ

= 96.5 × e^ (-49 × 0.03315 )

= 96.5 × 0.197014404

= 19.01189 ≈ 19.01

therefore the cost of a similar scientific calculate in 2019 will be $19.01

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

Answer:

i think but I am not sure so maybe ask somebody else but I think it is A.

Step-by-step explanation:

I just think it is

Answer:

430290100 is the answer

Step-by-step explanation:

hope it help :)))))))))))))))))))))))))))))))))))))

Answer:

430290100

Step-by-step explanation:

Answer:

Step-by-step explanation:

90/n

Answer:

Step-by-step explanation:

Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;

[tex]a.b = |a||b| cos \theta[/tex] where [tex]\theta[/tex] is the angle between both vectors

a.b = (4, 2, -4). (4, -3, 2)

a.b = 4(4)+2(-3)+2(-4)

a.b = 16-6-8

a.b = 16-14

a.b = 2

Given |r| = √x²+y²+z²

|a| = √4²+2²+(-4)²

|a| = √16+4+16

|a| = √36

|a| = 6

Similarly;

|b| = √4²+(-3)²+2²

|b| = √16+9+4

|b| = √29

Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;

[tex]a.b = |a||b| cos \theta\\2 = 6*\sqrt{29} \ cos \theta\\ cos\theta = \dfrac{2}{6\sqrt{29} } \\cos\theta = \dfrac{1}{3\sqrt{29} }\\ cos\theta = 0.0619\\\theta = cos ^{-1}0.0619\\ \theta = 86.45^0 (to \ 2dp)[/tex]

Hence the angle between vectors a and b is 86.45°

Answer:

5

Step-by-step explanation:

Because when you walk in there is now 35 people 35 - 30 = 5

There are 34 people in the garden.

Read related ink on:

https://brainly.com/question/17377020

Answer:

-1

Step-by-step explanation:

We have our expression

6 - 4x = 7x - 9x + 8

Combine like terms

6 - 4x = -2x + 8

Add 2x to both sides, and subtract 6 from both sides

-2x = 2

x = -1

Answer:

-2x − 2 = 0 is the answer to this

Answer:

-3x^12y^-6

Step-by-step explanation:

Answer:

sale price = $145.56

Step-by-step explanation:

The regular price of one bicycle is $181.95

20% discount

sale price = original price - ( % discount x original price )

sale price = $181.95 - (0.20 * $181.95)

sale price = $181.95 - $36.39

sale price = $145.56

Problem 1

If you meant to say [tex]8^4[/tex], then you would have four copies of 8 multiplied together

[tex]8^4 = 8*8*8*8 = 4096[/tex]

==============================================

Problem 2

1/7 full = 1/3 cup of water

7*(1/7 full) = 7*(1/3 cup of water) ... multiply both sides by 7

1 full = 7/3 cup of water

So a full mug has 7/3 cups of water. Let's convert this to a mixed number

7/3 = (6+1)/3

7/3 = 6/3 + 1/3

7/3 = 2 + (1/3)

7/3 = 2 & 1/3

The full capacity of the cup is 7/3 cups or 2 & 1/3 cups

7/3 is the improper fraction form

2 & 1/3 is the mixed number form

One way to think of it is to imagine there are 7 cookies and you want to distribute among 3 friends. We could say 7/3 = 2 remainder 1 meaning each person gets 2 full cookies and there's 1 left over. So that's how we'd get 2 & 1/3.

Answer:

Her conjecture is not correct

Step-by-step explanation:

Given

[tex]x^5 - 2 > x[/tex]

For [tex]x < -1[/tex]

Required

Determine if the conjecture is true

[tex]x < -1[/tex] implies that the values of x are:

-2, -3, -4, -5.....

Take any value of x and substitute in [tex]x^5 - 2 > x[/tex]

Let x = -3

[tex]x^5 - 2 > x[/tex] becomes

[tex]-3^5 - 2 > -3[/tex]

[tex]-243 - 2 > -3[/tex]

[tex]-245 > -3[/tex]

The above inequality is false;

Hence:

Her conjecture is not correct

Answer:

Q1: Communtative property of multiplication

Q2: Commutative property of addition

Step-by-step explanation:

Hope this helps!!!!!!!

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

[tex]= 1.96^2\times \frac{210^2}{15^2}[/tex]

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

The triangle is a right angles triangle and the unknown side is the hypotenuse which is the longest side of a triangle and the other two sides are the opposite and the adjacent

Using the Pythagoras theorem to find the length of the hypotenuse, we will have;

hyp²= opp²+adj²

hyp²= 15²+3²

hyp²= 225+9

hyp²= 234

hyp = √234

hyp = 15.2971

Hence the length of the unknown side is 15.2971ft

Answer:

______________________________

106/120 = .8833 complaints per hour i think.

______________________________

If the numbers are consecutive multiples of 6, and you want to call the smallest one ' n ', then the next one is (n+6) and the biggest one is (n+12).

Their sum is (3n + 18).  That's choice-C .

If you run into the same problem again, you might like to call the middle number ' n '.  Then the smallest one is (n-6) and the biggest one is (n+6),

and their sum is just 3n !  This is a lot easier to do in your head.

Answer:

Step-by-step explanation:

(39/7)(-12/5) = -468/35 = -13.37

Answer:

13cm

Step-by-step explanation:

104 × 2 = 208

208 ÷ 16 = 13cm

(13 × 16) ÷ 2 = 104cm²

Answer:

13 cm

Step-by-step explanation:

Area = 1/2×base×height

Formula  for area:

Solving for b:

Answer is 13 cm

Answer:

both are the same

Step-by-step explanation:

2.0 = 2

hope this helps ^-^

Answer:

Both will be equal as 2.0 can also be written as 2

Answer:

180

Step-by-step explanation:

60 x 3 =180

Answer:

l=22.5≅23 cm and w=7.5≅8 cm

Step-by-step explanation:

l=3w

p=60 cm

p=2(l+w)

60=2(3w+w)

60=2(4w)

60=8w

[tex]\frac{60}{8}=\frac{8w}{8}[/tex]

w=7.5≅8 cm

l=3w

l=3*7.5

l=22.5≅23 cm

check

p=2(l+w)

p=2(22.5+7.5)

p=2(30)

p=60 cm

Answer:

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

Hence the radius of the circle is approximately 11.72 cm long

Answer: Change it to decimal

Step-by-step explanation:

Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.

Answer!

Work backwards to find the factors from the roots, then multiply the factors together. f=x^2−7x/3+2/3

40-19＝21

21－12＝9

11-9＝2

2 white cats

Complete Question

CoStar would like to test if the vacancy rate for "warehouse" stores is more          than 8%. A type 1 error would occur if CoStar concludes that the vacancy rate was

A: not equal to 8% when, in reality, the proportion was equal to 8%

B: 8% or less when, in reality, the proportion was more than 8%

C: equal to 8% when, in reality, the proportion was 8% or less

D: more than 8% when, in reality, the proportion was 8% or less

Answer:

The correct option is  D

Step-by-step explanation:

From the question we are told that

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%.

Hence

The null hypothesis is  [tex]H_o : p \le 0.08[/tex]

The  alternative hypothesis is  [tex]H_a : p> 0.08[/tex]

 Generally type 1 error occurs when null hypothesis is rejected while it is true

So Type I error would occur if CoStar concludes that the vacancy rate was more than 8% when, in reality, the proportion was 8% or less

Answer:

[tex]\mathbf{P (X \geq 2) = 1 - P( X \leq 1) \sum \limits ^1_{x=0} ( ^{1000}_x) (0.0035)^x (0.9965)^{1000-x}}[/tex]

Step-by-step explanation:

From the information given:

The probability that at least 2 crashes occurs in the next month can be estimated by using Poisson distribution because the sample size is large and the probability of the event p = 0.0035 is rare.

∴

Let X be the random variable that follows a Poisson  distribution

The probability that at least 2 crashes occurs in the next month is:

[tex]\mathbf{P (X \geq 2) = 1 - P( X \leq 1) \sum \limits ^1_{x=0} ( ^{1000}_x) (0.0035)^x (0.9965)^{1000-x}}[/tex]

Answer:

Technically, yes. It's called epsilon, which is defined as an infinitely small number. So

 2 + epsilon is the smallest number greater than 2. But for practical purposes no there isn't.

00

Step-by-step explanation:Not without limits. You can always move the .1 one place further from the interring. For example,  

2.1>2.01

and  

2.01>2.001

So, unless there are a limited number of decimal spaces, you can continually add an infinite amount of zeros behind the decimal point, followed by a one.

If you use two or three decimal spaces as a standard in your class, then the smallest decimal greater than 2 would be 2.01 or 2.001, respectively.