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2 years ago

15

Enter a positive common favor (other than 1) of the fractions numerator and denominator

2 answers:

Romashka [77]2 years ago

6 0

Answer:

7

Step-by-step explanation:

You can divide both 14 and 21 by seven and get a whole number.

Ket [755]2 years ago

4 0

Answer:

7

Step-by-step explanation:

hope this helps

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Find the point estimate for the true difference between the given population means.

Aleonysh [2.5K]

Answer:

0.9 grams

Step-by-step explanation:

The point estimate for the average weight of Soap Bar A is:

$A=\frac{121+122+124+ 123+ 120+ 124+ 121+ 121+ 121+ 123+ 120}{11}\\A=121.82\ grams$

The point estimate for the average weight of Soap Bar B is:

$B=\frac{121+120+122+ 119+ 121+ 122+ 122+ 120+ 120 +121+ 122+123+119}{13}\\B=120.92\ grams$

Therefore, the point estimate for the true difference between the given population means is:

$Dif = A-B\\Dif = 121.82-120.92\\Dif=0.9\ grams$

The point estimate for the difference is 0.9 grams.

3 0

3 years ago

Solve algebraically<br><br> 8x + 10y = -4<br><br> -4x = 2 + 5y

Rufina [12.5K]

The answer to the first one is:

x=-5/4y+-1/2. Why?

In the equation 8x+10y=-4, you subtract 10y form each side which leaves you with 8x=-10y-4. Right? Then you divide each side by 8 which gives you the answer

The answer to the second one is the same answer to the first problem. Why? Because you can already divide each side which gives you x=-5/4y+-1/2.

Hope this helps :^)

8 0

3 years ago

What is the answer to math problem ×2÷3

Rashid [163]

THE answer is 0.66 repeating 9 times
then 7

5 0

3 years ago

Read 2 more answers

Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

$\displaystyle \frac{dy}{dx} = -\frac{x}{y}$ .

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

3 0

3 years ago

A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per

Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile = 13 cents = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B - Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence, Company B charges $(15.5+0.12x) more for x miles than company A.

7 0

2 years ago