A piece of pipe that is 8 feet long is cut into 1/4 ft pieces. How many pieces can be cut from the pipe?

Responses

A 30 pieces

B 28 pieces

C 8 pieces

D 32 pieces

Let c be Carlo´s age, then the given statement can be written as follows in algebraic notation:

Answer:

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

Answer:

d doesnot depict a linear relationship as y= mx+c to have linear equation

Answer:

d is not tha answer as it is quadratic equation

The area of interior of  the curve by   use Green's theorem is 3pi/8.

What is Green's theorem?

Green's theorem says that if you add up all the microscopic circulation inside C (i.e., the microscopic circulation in D), then that total is exactly the same as the macroscopic circulation around C.

We have given curve x2/3+y2/3=1

parametrizing the curve

Let x(t)=cos3t,y(t)=sin3t

(cos3t)2/3+(sin3t)2/3=1 implies (cos2t)+(sin2t)=1 ,for 0<=t<=2pi

dx=-3cos2t*(sint)dt,dy=3sin2t cost dt

So, the area equals (By Green's theorem)

1/2* integration of (-y dx+x dy) over C

=1/2*integration of(0 to 2pi) (-sin3t(-3cos2t*(sint))+cos3t(3sin2t cost)) dt

=1/2*integration of(0 to 2pi) (3sin4t cos2t+3cos4tsin2t) dt

=1/2*integration of(0 to 2pi) [(3sin2t cos2t)*(sin2t+cos2t)]dt

=1/2*integration of(0 to 2pi) [(3sin2t cos2t)]dt since sin2t+cos2t=1

=3/2*integration of(0 to 2pi) [(sint*cost)2]dt

=3/2*integration of(0 to 2pi) [((1/2)sin(2t))2]dt since sin(t)cos(t)=(1/2)*sin(2t)

=3/8*integration of(0 to 2pi) [sin2(2t)]dt

plug sin2(2t)  =  (1-cos(4t))/2

=3/8*integration of(0 to 2pi) [(1-cos(4t))/2]dt

=3/16*[t-sin(4t)/4] from 0 to 2pi

=3/16*[2pi - sin(4*2pi)/4-(0-sin(0)/4)]

=3/16*[2pi]  since sin(8pi)=0

=(3pi)/8

Therefore, the area of interior of  the curve is 3pi/8.

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The complete question is -

Find a parametrization of the curve x2/3 + y2/3 1 and use Green's Theorem to compute the area of the interior. Hint: See Example 2 page 751 to see how Green's Theorem can be used to compute areas. To find a parametrization, you should consider modifying the parametrization a(t) cos t, y(t) sint, which is a parametrization for the unit circlez2 +y2-1

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

\(0.9\)

Step-by-step explanation:

\(\text{Absolute value is always positive. So,}\\\\|-0.9| = 0.9\)

Answer:

\(7x + y = 19 \\ 4x + y = 16 \\ so \: \\ 7x + y = 19 \\ - 4x - y = - 16 \\ 3x = 3 \\ x = 1\)

\(7(1) + y = 19 \\ y = 12\)

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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The largest total number of balls that alice could have in the bag is 5.

Bob wants to pick five balls from the bag and get at least one of each color, red and blue. Alice has guaranteed that this is possible, which means that there must be enough balls in the bag and at least one of each color.

The maximum number of balls in the bag can be achieved when the total number of balls is the same as the total number of balls Bob picks, which is 5.

In this case, Bob could pick one red and four blue, or one blue and four red, and he would still get at least one of each color.

This means that the largest total number of balls that Alice could have in the bag is 5.

It's important to note that this is the maximum number and it's possible that there are less balls in the bag. The maximum number of balls in the bag can only be achieved when Bob picks one red and four blue, or one blue and four red.

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

The centroid and circumcenter of triangles are both geometric notions.

The distinction between a circumcenter and a centroid

Centroid:is a place where the triangle's medians coincide is known as the centroid. A triangle's median is a line segment that runs from one of the triangle's vertices to the middle of the other side. The centroid, which is sometimes designated as "G," is situated at the junction of all three medians. It is regarded as the triangle's center of mass or equilibrium point. Each median is split into two segments by the centroid, with the larger segment being closer to the vertex and the ratio of the segments' lengths being 2:1.

The centroid's characteristics

The centroid is situated two-thirds of the way between each vertex and the opposing side's middle.

It is located within the triangle.

The centroid is a triangle's uniformly thick and dense center of gravity.

The triangle is divided into three equal-sized triangles by the centroid.

A circumcenter's  is perpendicular to a triangle's side and runs through that side's midpoint is called a perpendicular bisector. The unique circle that traverses all three of the triangle's vertices is called the circumcircle, and its center is known as the circumcenter. It is frequently indicated as "O"

The circumcenter's characteristics are:

Depending on the type of triangle, the circumcenter may be within, outside, or on the triangle.

The circumcenter is located inside the triangle if the triangle is sharp.

The circumcenter is outside the triangle if the triangle is acute.

The midpoint of the hypotenuse is where the circumcenter is found in a triangle with a right angle.

The triangle's three vertices are all equally far from the circumcenter.

The circumcenter is the point where the perpendicular bisectors, which are equally spaced from the triangle's respective sides, intersect.

Both the centroid and circumcenter are significant triangle locations with unique geometric characteristics.

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Answer:

I think the first option is better.

Step-by-step explanation:

First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900

And 6.55 of $5000 is 325. 325 * 36 = 117000

If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.

HOPE THIS HELPED.

IF IT DOESN'T PLEASE COMMENT.

Answer:

4

Step-by-step explanation:

First let’s write out the info:

X        Y

5       10

2        ?

Five is to ten as two is to what? Well let’s find out.

Five times TWO is ten, so logically, we multiply two times two.

2x2=4

The answer is 4

I hope this helps! :D

pls give thx and brainliest if I’m right ;)

Answer:the answer is D

Step-by-step explanation:

This is reasonable because  feet can be rounded to 9 feet and  feet can be rounded to 3 feet. Since 9 - 2(3) = 3, the plumber will have about 3 feet of rubber tubing left. its true make sure you read the answer to make sure bc they can mix them up LOL

9514 1404 393

Answer:

  w + 2 = 18

Step-by-step explanation:

If w represent the number of wins, then the total number of matches is ...

  w + 2 = 18

Answer: Complementary, Adjacent

Step-by-step explanation:

Complementary angles can either of two angles whose sum is 90°.

Adjacent angles when they have a common side and a common vertex (corner point) and don't overlap.

~Hope I helped!~

Answer: complementary, adjacent

Answer:

x + 4y = -8

(4y) + 4y = -8

8y=-8

y=-1

Answer:

in point form, (4,1)

in equation form, x=4 y=1

Step-by-step explanation:

x+4y=8,4y=x solved by substitution

The common ratio 'r' is not constant, meaning that the series is not geometric.

Each term in a geometric series is created by multiplying the previous term by a fixed constant known as the common ratio.

To determine if the geometric series (4, -7, 49, -343, 16) is convergent or divergent, we need to find the common ratio 'r' of the series.

r = (next term) / (current term)

r = (-7) / 4 = -1.75

r = 49 / (-7) = -7

r = (-343) / 49 = -7

r = 16 / (-343) = -0.0466...

We can see that the common ratio 'r' is not constant, meaning that the series is not geometric, and therefore we cannot determine if it is convergent or divergent.

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Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.

To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:

State the null and alternative hypotheses:

Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.

Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.

Determine the number of observations that are greater or less than the hypothesized median:

From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.

Calculate the p-value:

Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.

Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.

Compare the p-value to the significance level:

Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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1. 3 (2x + 1)

2. 4x (x + 2)

3. (x + 4) (x + 6)

4.

Since I dint show the method to get the ans for the above 3 I'll show it out for this one :)

x² – 15x + 56

x² –7x –8x + 56

x (x –7) –8(x–7)

( x–8) (x– 7)

5. (x –6) (x+2)

Answer:

B

Step-by-step explanation:

(x +(-11)) means that you move point D to the left by 11.

(y + 8) means that you move the point D up by 8

this will give you a point B

Answer:

The answer is 56.33 in decimal form but in fraction form the answer is 5633/

100

Step-by-step explanation:

6.55 x 8.6

\(360 - 140 - 62 - 85\)

\( = 73 \: degrees\)

the sum of the angles in a quadrilateral is 360° so just subtract the angles you have with the total to find the missing angle.

Answer:

73°

Step-by-step explanation:

The angles add to 360 hope this helps

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

Answer:

5

Step-by-step explanation:

First of all, we have a lot of different forms of part/whole's. We have a fraction, a percentage, and a number. How do we make this work???

Let's convert our percent and fraction to ounces, because that is what the question is talking about.

1/5 of 20

1/5=x/20

20=5x

/5      /5

4=x

Now lets convert our percent into ounces.

30% of 20

30/100=x/20

30(20)=100x

600=100x

/100  /100

6=x

Now we have our ounces, we now need to find what is the granola. To do that, we need to add the number of everything else, and then subtract that by the total ounces.

4+6+5=15

20-15=5

The answer would be 5 ounces of granola!

Answer:

=1600

Step-by-step explanation:

=4*4*4*5*5

=16*4*25

=64*25

=1600

Hope this helps, have a nice day/night! :D