9. Suppose the length and width of the rectangle are doubled. What effect would this have on the perimeter? Justify your
answer.
10. Suppose the length and width of the rectangle are doubled. What effect would this have on the area? Justify your answer.

Answer:

4 and 1/2 hours at the end of 6 days :)

Given point (-1, 9), we should determine the quadrant it belongs to and also determine which is positive or negative between x and y.

from the above graph, we can see that the point is in the first quadrant.

x is negative

y is positive

The percent error of Diane's estimated area measurement is 9%.

To find the percent error, we first calculate the actual area of the rectangular field:

Next, we calculate the estimated area based on Diane's measurements:

The absolute error is the difference between the actual and estimated areas:

The percent error is the absolute error divided by the actual area, multiplied by 100%:

Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%

Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

x=5

Step-by-step explanation:

A rhombus is KLMN. III. KLMN has a 21(KM) square area (NL).

A rhombus is KLMN. III. KLMN has a 21(KM) square area (NL).

A two-dimensional form called a quadrilateral is described as having four sides, four vertices, and four angles. Concave and convex are the two primary varieties. Convex quadrilaterals also fall under a number of other classifications, including trapezoids, parallelograms, rectangles, rhombus, and squares.

We frequently need to know the broad contours and placement of a graph. In these circumstances, a rough graph is made as opposed to plotting a number of points to create the graph. A straight line graph may be created using two points.

x(0-3)

L(3,0)

M(0,3)

| K'(0-6)

L'(6,0)

M'(0,6)

N (-2,0)

N'(-6,0).

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Answer:

0.5%

Step-by-step explanation:

Answer:

The angle measures \(\frac\pi2\) radians, or 90°

Step-by-step explanation:

In radians, the measure of an angle is defined as the length of the arc divide by the radius of the circle of which that arc is part of. In our case

\(\angle XOY = \frac {\overarc{XY}}{OX} = \frac{16\pi}{32} = \frac\pi2\)

Answer:

angle XOY = \(\frac{\pi}{2}\) (in radians) or 90° (in degrees)

Step-by-step explanation:

So firstly we need to consider that the unit of measurement is radians, not degrees, as represented by the 'measures 16π cm'.

Next, since we have the length of arc XY given as 16π cm, we can apply the formula for the length of an arc, in radians, which is \(l=r\theta\).

I'm assuming that you know how to derive the formula for arc length since you are getting questions about arc length like this, but if not, then you can just search on the internet: "derivation for the formula of arc length in radians"

Therefore: we should let ∠XOY = ∅ and so,

\(l=16\pi\) and \(r=32\)

\(16\pi =32\theta\\\frac{16\pi}{32}=\theta\\ \frac{\pi}{2}=\theta\)

∴∠XOY = \(\frac{\pi}{2}\\\) radians

(Unless otherwise stated, return your answer in the same unit of measurement as the measurements in the question)

Answer:

You need to solve it like a rectangle

Scale 1cm = 30Yd

Formula = A=lxw

Length = 7x30=210yd

Height = 4x30=120yd

Answer 120x210= 25,200 sq. yd.

Right, make sense?

Answer:

25200 square yards

Step-by-step explanation:

Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.

But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:

4*30 yards * 7*30 yards

= 120 yards * 210 yards

= 25200 square yards.

Answer:

51

Step-by-step explanation:

i used a calculator. The answer is 100% sure to be correct.

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

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Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

The volume of air supplied to the plant is 105.12 times the ultimate BOD.

Given the BOD5 as 67.5% of ultimate BOD and ultimate BOD as BODu.

So BOD5 = 0.675 BODu.

Here, it is assumed that the BOD of the waste is completely degraded.

Now, oxygen demand, L per day = [0.68 BODu (kg/day)] / [(kg/m3 ) (kg O2/kg BOD)]

= (0.68 BODu)/ 2

= 0.34 BODu.

The weight of air required for oxygen demand is given by:

Weight of air = L/day x 24 hr/day x 1.3 kg air/kg O2

= 0.34 BODu x 24 x 1.3

= 10.512 BODu.

Now, oxygen transfer efficiency is 10%.

Hence, the volume of air required is given by:

Air supply = Weight of air / Oxygen transfer efficiency

= 10.512 BODu/ 0.1

= 105.12 BODu.

Therefore, the volume of air supplied to the plant is 105.12 times the ultimate BOD.

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Answer:

512 cm^3

Step-by-step explanation:

side of the cube = 8cm

volume=8*8*8=512cm ^3

\((x - 3)(2x {}^{2} - 5x + 1)\)

\(2x {}^{3} - 5x {}^{2} + x - 6x {}^{2} + 15x - 3 \)

\(2x {}^{3} - 11x {}^{2} + 16x - 3\)

Answer:

I believe it's -7. Sorry if that's wrong

The null hypothesis (H0) states that the average age is equal to or greater than 30.8 years, while the alternative hypothesis (Ha) states that the average age is less than 30.8 years.

In hypothesis testing, we set up the null hypothesis (H0) and the alternative hypothesis (Ha) to investigate a claim or conjecture. In this case, the conjecture is that the average age of a senior surgical resident in the United States is less than 30.8 years old.

The null hypothesis (H0) assumes that the average age is equal to or greater than 30.8 years, and any difference observed in the sample is due to random chance or sampling variability. Therefore, the null hypothesis can be stated as:

H0: The average age of senior surgical residents in the United States is greater than or equal to 30.8 years.

The alternative hypothesis (Ha) represents the claim or the opposite of the null hypothesis. In this case, the alternative hypothesis states that the average age is less than 30.8 years, indicating that there is a significant difference or evidence against the null hypothesis. Therefore, the alternative hypothesis can be stated as:

Ha: The average age of senior surgical residents in the United States is less than 30.8 years.

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Answer:

6x+1<9-2x

6x+2x<9-1

8x<8

x<1

2x-1 ≤ 5x+20

2x-5x≤20+1

-3x≤21

x≥-7

3-(2x-7) ≤ 34-6x

3-2x+7 ≤ 34-6x

-2x+6x ≤ 34-3-7

4x ≤ 24

x ≤ 6

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

The next term of the given fibonacci sequence is 89

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters

Given the sequence of numbers 2, 3, 5, 8, 13, 21, 34, 55,___, this is called a fibonacci sequence since the sum of the 2 preceding values will give the succeeding term

From the sequence, you can see that 2+3 = 5, 5+8 = 13, 8 + 13 =21, 21 + 34 =55

For the next term

Next tern = 34 + 55

Next term = 89

Hence the next term of the given sequence is 89

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Answer:

(8+-4)(6+-2)(5+-1)

Step-by-step explanation:

i.) 8+(-4)

8-4=4

ii) 6+(-2)

   6-2=4

iii) 5+(-1)

    5-1 = 4

HOPE THIS HELPS

Answer:

(8+-4)(6+-2)(5+-1)

Step-by-step explanation:

Answer:

− (8b − x) (5b + x)

Step-by-step explanation:

Answer:

It is the second one, b..

Step-by-step explanation:

If you look at the days and amount of time you can clearly see that y=5/2x is where the cost in cents for a book that is x days overdue. Hope this helped.

Answer:

the one on the top right

Step-by-step explanation:

because the difference is the same between them so it has a fixed slope

The flow rate through a pipe with a radius of 6 cm is approximately 2531.25 cm3/sec.

The flow rate through a pipe with a radius of 6 cm can be calculated using Poiseuille's law. The flow rate is directly proportional to the fourth power of the radius.

The flow rate in the given pipe with a radius of 4 cm is 500 cm3/sec.

To find the flow rate in a pipe with a radius of 6 cm, we can set up a proportion using Poiseuille's law:

(4^4 cm3/sec) / (500 cm3/sec) = (6^4 cm3/sec) / X

Simplifying the proportion:

256 / 500 = 1296 / X

Cross-multiplying:

256X = 500 * 1296

Dividing both sides by 256:

X = (500 * 1296) / 256

Evaluating the expression:

X ≈ 2531.25 cm3/sec

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Answer:

On the y axis

Step-by-step explanation:

If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.

Answer:

b

Step-by-step explanation:

8×19= 152  

1 : 4.5  

152×4.5=684