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2 years ago

What is 6 1/8 minus 2 1/12

Mathematics

2 answers:

professor190 [17]2 years ago

5 0

Answer:

the answer is 7/12 you welcome

Bezzdna [24]2 years ago

4 0

Answer:

4 1/24

Step-by-step explanation:

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What graph shows a function that has a y-intercept of -2 and is decreasing for values of the domain less than -1.

lesya692 [45]

Answer:36

Step-by-step explanation:

36 to the third power

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2 years ago

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wolverine [178]

Answer:

y=1/2×+4

Step-by-step explanation:

i think that the answer

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2 years ago

Testing to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0

klemol [59]

Answer:

b) B and D and c) A and C

Step-by-step explanation:

The hypotheses would be:

$H_0: p =0.75\\H_a: p >0.75$

(Right tailed test at 5% level)

Sample proportions are

Sample A B C D

Success 31 34 27 38

Proportion p 0.775 0.85 0.675 0.95

Std error

(sqrtpq/n) 0.066 0.056 0.074 0.034

p diff

p-0.75 0.025 0.10 - 0.075 0.20

Z stat

p diff/SE 0.0757 1.77 1.01 5.80

p value 0.469 0.038 0.156 0.000001

we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.

b) Only B and D provide against the null. Because p <0.05

c) A and C provide no evidence for the alternative because p >0.05

8 0

2 years ago

A normal window is constructed by adjoining a semicircle to the top of an ordinary rectangular window, (see figure ) The perimet

Dima020 [189]

Let's find the perimeter of the window.

The bottom side is $x$ . The left and right sides make $2y$ .
The perimeter of a circle is $2\pi r$ , so the perimeter of a semicircle must be $\pi r$ , The radius is $\frac{1}2x$ , so that gives $\frac{1}2\pi x$ for the curve. All of that is equal to 12.

$x+2y+\frac{1}2\pi x=12$

We only want to use one variable to create the area formula, so let's solve for $y$ .

$2y=12-x-\frac{1}2\pi x$

$y=6-\frac{1}2x-\frac{1}4\pi x$

Now that we have a value for $y$ in terms of $x$ , we can find the area in terms of $x$ .

The area of the rectangle is going to be $xy$ , which then becomes

$A_r=x(6-\frac{1}2x-\frac{1}4\pi x$

$A_r=6x-\frac{1}2x^2-\frac{1}4\pi x^2$

The area of the semicircle is going to be $\frac{1}2\pi r^2$ .

Since $r=\frac{1}2x$ , $A_{sc}=\frac{1}2\pi (\frac{1}2x)^2$ .

$A_{sc}=\frac{1}2\pi \frac{1}4x^2$

$A_{sc}=\frac{1}8\pi x^2$

Now let's add the areas of the rectangle and semicircle.

$A=A_r+A_{sc}$

$A=6x-\frac{1}2x^2-\frac{1}4\pi x^2+\frac{1}8\pi x^2$

$A=6x-\frac{1}2x^2-\frac{1}8\pi x^2$

If you wanted to factor out $\frac{1}8$ like you did, this would become

$\boxed{A(x)=\frac{1}8(48x=4x^2-\pi x^2)}$

Now what we want to do is find what $x$ is when $A$ is at its highest point, Once we have the value for $x$ we can also find the value for $y$ , of course.

Let's put our equation in the general form of a quadratic.

$A(x)=(-\frac{1}2-\frac{1}8\pi )x^2+6x$

Now we can use the vertex formula $x=\frac{-b}{2a}$ .
( $a$ and $b$ refer to $ax^2+bx+c$ .)

$x=\frac{-6}{2(-\frac{1}2-\frac{1}8\pi)}$

$x=\frac{-6}{-\frac{1}4\pi -1}$

$x=\frac{-24}{-\pi -4}$

$\boxed{x=\frac{24}{\pi +4}}$

Now let's plug that in for $y=6-\frac{1}2x-\frac{1}4\pi x$ .

Since our final answers are in decimal form and not exact form, we can make our lives a little easier here and just use $x\approx3.36059492$ .

$y\approx6-\frac{1}2(3.36059492)-\frac{1}4\pi(3.36059492)$

<span> $y\approx6-(1.68029746+2.63940507809)$

</span><span> $\boxed{y\approx1.68029746191}$

Let's take our answers for $x$ and $y$ and round to 2 decimal places.

$\boxed{x\approx 3.36\ ft}$

$\boxed{y\approx 1.68\ ft}$ </span>

3 0

2 years ago

Explain how part-to-part ratios are different from, but related to, part-to-whole ratios.

STatiana [176]

Answer:

Ratios can be divided into part-to-part ratios and part-to-whole ratios. Part-to-part ratios provide the relationship between two distinct groups.Part-to-whole ratios provide the relationship between a particular group and the whole populations (including the particular group). For example, 3/5 of the students in the class are girls, or the mixture is 40% rye grass (40% is equivalent to saying 40 of every 100 parts).

Step-by-step explanation:

4 0

2 years ago