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3 years ago

Twenty two quarts is equivalent to how many gallons? 4.5 5.5 C 6.5 7.5

Mathematics

1 answer:

marysya [2.9K]3 years ago

4 0

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

gizmo_the_mogwai [7]

Answer:

The other endpoint of the segment is $(-18,-7)$ .

Step-by-step explanation:

The midpoint of the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the following formula:

$(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

where $(x_m,y_m)$ = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

$(-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )$

To find $x_1$ we need to solve this equation:

$-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18$

and to find $y_1$ we need to solve this equation:

$2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7$

The other endpoint of the segment is $(x_1,y_1)=(-18,-7)$ .

5 0

3 years ago

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

3 years ago

75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the schoo

natita [175]

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75 380

8 0

2 years ago

Which is the graph of f(x) = log3x?.

valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; $\rm f(x) = log3x$

We have to determine

The graph of the function f(x).

According to the question

The logarithmic function is the inverse of the exponential function.

Function; $\rm f(x) = log_3x$

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

$\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1$

The point at x= 3 is,

$\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1$

The point at x= 9 is,

$\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3$

Hence, the points for the given function are (1,0) (3,1) and (9,2).

To know more about the Exponential function given below.

brainly.com/question/3653847

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3 years ago

What is 4664 ➗ by 94

PilotLPTM [1.2K]

49.617 ( alternative form )

6 0

3 years ago