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3 years ago

Factor this polynomial expression.

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Answer:

The answer is A. (x-6)(x-6)

Step-by-step explanation:

x^2 -12x + 36

x^2 - (6+6) x+36

x^2 - 6x - 6x + 36

x( x - 6) -6(x-6)

(x-6)(x-6)

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650mL = how many ounces ?

aleksley [76]

It is 21.971 ounces

6 0

3 years ago

Read 2 more answers

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and

yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.13x$

Here

y = weight of a person

x = height of a person

The information provided is:

$\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05$

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.023 < α = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, x = 172 cm as follows:

$\hat y=-105+1.13x$

$=-105+(1.13\times 172)\\=-105+194.36\\=89.36$

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0

3 years ago

Help plz will mark Brainly

irina1246 [14]

Answer:

126 inches

Step-by-step explanation:

If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.

420 / 40 = 10.5

So the drawing will be 10.5 feet tall.

To convert 10.5 feet to inches, multiply it by 12.

10.5 * 12 = 126 inches

3 0

3 years ago

You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square fe

Juli2301 [7.4K]

$124.00 (36ft of fencingx1.50=$54)(area 80 ft/4=20 bagsx 3.50 = $70) 54 + 70 = $124.00

4 0

3 years ago

Solve the initial-value problem y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

4 0

3 years ago