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2 years ago

Select all true statements about the line and its equation.

Mathematics

1 answer:

gulaghasi [49]2 years ago

8 0

Answer:

the first, second and fifth ones

Step-by-step explanation:

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In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what wa

Naily [24]

Answer:

The total number of registered doctors was 167,722.

Step-by-step explanation:

Total number of doctors:

The total number of doctors is given by x.

31.6% of all registered doctors were female. 53,000 female doctors.

This means that:

$0.316x = 53000$

What was the total number of registered doctors?

We have to solve the above equation for x. So

$x = \frac{53000}{0.316}$

$x = 167722$

The total number of registered doctors was 167,722.

6 0

2 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

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ANSWER NUMBER 11 PLZ AND ILL MARK YOU BRAINLIEST !!!

Yakvenalex [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

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Plant B is 6 2/3 inches tall. and C is 4 4/15 inches tall. Complete the sentences and show your reasoning

artcher [175]

Answer:

Plant C is 0.64 times as tall as Plant B

Plant C is 2.4 inches shorter than Plant B

Step-by-step explanation:

Plant B is 6 2/3 inches tall. Plant B is 20/3 inches tall.

Plant C 4 4/15 inches tall. Plant C is 64/15 inches tall.

a.) Plant C is shorter than Plant B $= \frac{64}{15} \times \frac{1}{\frac{20}{3} } = \frac{64}{15} \times\frac{3}{20} = \frac{16}{25}$ = 0.64 times.

b.) Plant C is shorter than Plant B by = $\frac{20}{3} - \frac{64}{15} = \frac{100}{15} - \frac{64}{15} = \frac{100 -64}{15} = \frac{36}{15} = 2\frac{2}{5} = 2.4$ inches

3 0

3 years ago

Given sin x=0.3 , what is cos x ?

blsea [12.9K]

Cos x = sqrt( 100 - 9) / 10
= 0.9539392014sin x = 0.3 = 3/10

7 0

3 years ago

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