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3 years ago

5

mark is making a quilt with his grandmother each row of the quilt has 6 squares. there are 8 rows. 1/2 of the squares are blue.

how many blue squares are in the quilt?

1 answer:

Paladinen [302]3 years ago

3 0

6 squares * 8 rows = 48

1/2 of the squares are blue so 48 divided by 2= 24

you can also do it this way 6 squares in a row 1/2 are blue so 3 are blue

3 blue squares * 8 rows = 24 blue squares

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Evaluate 8r<br> rs when r<br> 6 and s = 5.

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Answer:

18

Step-by-step explanation:

I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

8(6)-(6)(5)

8*6 = 48 and -6*5= -30

Thus,

48-30= 18

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Suppose a baby food company has determined that its total revenue R for its food is given by R = − x 3 + 39 x 2 + 945 x where R

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35,000 units

Step-by-step explanation:

Total revenue is:

$R = -x^3+39x^2+945x$

The maximum revenue is attained at the production level for which the derivate of the revenue function is zero:

$R = -x^3+39x^2+945x\\R'=0=-3x^2+78x+945\\x=\frac{-b\pm\sqrt{78^2-(4*(-3)*945)} }{-6}\\x_1=35\\x_2=-9$

Since production cannot be negative, revenue will be at a maximum when x = 35, or when the production level is 35,000 units.

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4 years ago

Barbara claims that her horse can do simple addition problems. She showed her horse eight different cards with simple addition p

Arturiano [62]

Answer:

Barbara's horse can add

Step-by-step explanation:

To test if the horse could add, Eric he tried to calculate experimentally the probability that the horse had guessed the 8 answers.

If we call "trial" the action of throwing 8 coins and count the number of tails obtained, then eric made 53 trials.

During each trial, 8 events could have occurred:

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The plot of points obtained by Eric shows the frequency in which each of these 8 events occurred during the 53 trials.

The fact that the point diagram shows only one point on event 8, means that it occurred only once during the 53 trials, and compared to the other 7 events, this was the one with a lower frequency (the one that obtained the the highest frequency was the 4-tailed one, with 11 points).

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3 years ago

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When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin

7nadin3 [17]

Answer:

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$

or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

Step-by-step explanation:

To express the Fahrenheit temperature <em>as a linear function of the Celsius temperature</em>, F(c), we can proceed as follows.

We can use here <em>the two-point form</em> <em>equation</em> of a line:

$\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$ [1]

We are asked to express the <em>Fahrenheit temperature</em> as a function of <em>Celsius temperature</em>, so the independent variable, in this case, is <em>x</em> (Celsius temperature) and the dependent variable is <em>y</em> (Fahrenheit temperature).

When temperature is zero degree Celsius ( $\\x_1 = 0$ ), the Fahrenheit temperature is 32 ( $\\y_1 = 32$ ).

When the Celsius temperature is 100 ( $\\x_2 = 100$ ), the corresponding Fahrenheit temperature is 212 ( $\\y_2 = 212$ ).

Then, using [1], we have:

$\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)$

$\\ y-32 = \frac{180}{100}(x)$

$\\ y-32 = 1.8(x)$ .

It could be also be written as:

$\\ y-32 = \frac{18}{10}(x)$ = $\\ y-32 = \frac{9}{5}(x)$ , as it commonly appears in books.

Then <em>the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c</em>) is ( solving the equation for <em>y </em>) :

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$ .

Or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(0) + 32$ = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(100) + 32 = 180 + 32$ = 212 Fahrenheit degrees.

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