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2 years ago

Using only whole numbers, how can you draw three rectangles with perimeter of 12 units

1 answer:

3 0

Perimeter means the sides add up to 12.
Rectangles have two pairs of equal sides.

2(one side) + 2(another side) = 12
2 (one side + another side) = 12
(one side + another side) = 6

To draw a rectangle with a perimeter of 12 units, the two adjacent sides must add up to 6.
1 + 5
2 + 4
3 + 3

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Work out the estimate for the number of times both spinners land on the blue.

iris [78.8K]

Answer:

Step-by-step explanation:

probabilty of both being red= 0.5*0.6

total no of times spinners were spun = 84/(0.5*0.6) = 280

probabilty of both being blue= 0.5*0.4

Estimate = 0.5*0.4*280= 56

5 0

3 years ago

What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

brainly.com/question/25710806

8 0

2 years ago

I need a lot of help!<br> Is 54.03 + 4.04 greater than 54 + 4.4?

Aliun [14]

Answer:

54+4.4 is greater

Step-by-step explanation:

if u need explanation than please ask

7 0

1 year ago

Give an estimate of the mean hardness that you would expect after 37 and 41 hours; and a 85% confidence interval for each estima

Jlenok [28]

The predicted value of hardness at 37 hours is 243.87 and an 85% confidence interval for the mean hardness is (242.12, 245.61). At 41 hours, the predicted hardness is 252 and an 85% confidence interval for mean hardness is (249.83, 254.18). The confidence interval for X is equals to 41 which is wider because the value 41 is farther away from the sample mean X than is 37. As an outcome, the standard error for the prediction is larger.

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3 years ago

SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by

Hitman42 [59]

Answer:

a) $C(x)$ is increasing in two regions: (i) $(+\infty, 8\,s)$ and (ii) $(10\,s,+\infty)$ .

b) $C(x)$ decreases in $(8\,s, 10\,s)$ .

Step-by-step explanation:

Let $C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850$ , where $x$ is the quantity of insecticide, measured in hundreds of liters, and $C(x)$ is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of $C(x)$ are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

$C'(x) = 3\cdot x^{2}-54\cdot x+240$ (1)

Please notice that regions where C(x) is increasing has $C'(x) > 0$ , whereas $C'(x) < 0$ when $C(x) < 0$ .

We notice that $C(x)$ is increasing in two regions: (i) $(+\infty, 8\,s)$ and (ii) $(10\,s,+\infty)$ . Besides, $C(x)$ decreases in $(8\,s, 10\,s)$ .

6 0

3 years ago