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nikitadnepr [17]

3 years ago

14

A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the

pool?

1 answer:

andreev551 [17]3 years ago

7 0

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

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A balance sheet shows beginning values of $56,300 for current liabilities and$289,200 for long-term debt. The ending values are

Black_prince [1.1K]

Answer:

The amount of net new borrowing is $29,200

Step-by-step explanation:

Net new borrowing =

Long term debt at the end - Long term debt at the start

= $318,400-289,200 = $29,200

7 0

3 years ago

I NEED HELP ASAP!!!!!!!<br><br> A. m= -2<br> B. m= -1/2<br> C. m= 2<br> D. m= 1/2

LenaWriter [7]

Answer:

A. m = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 0)

Point (1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

Substitute in points [SF]: $\displaystyle m=\frac{-2-0}{1-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-2}{1}$
[Fraction] Divide: $\displaystyle m=-2$

6 0

2 years ago

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C

4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea $x$ la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

$x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}$

$x = 84$

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

$y = \frac{3}{7}\cdot x$

$y = 36$

Murieron 36 vacas.

Cantidad de vacas vendidas

$z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x$

$z = 24$

24 vacas fueron vendidas.

8 0

3 years ago

Can someone answer this for me pls

bezimeni [28]

Answer: Lin is the most consistent and I would want to have them on my team.

Why is this? Because their dots are more clustered together compared to the other distributions. Elena may have made the most shots (9) at one point, but her data set is very spread out and more unpredictable. The more spread out a data set is, the higher the variance and standard deviation. The range is also affected by how spread out the data set is since

range = max - min

So in a rough sense, the range can be used to estimate the variance and standard deviation. Though more accurate formulas are usually the better way to go.

5 0

3 years ago