11. Find the following GCD and LCM. (a) GCD (360, 4000) (c) GCD (627, 205143) (b) LCM (360, 4000) (d) LCM (627, 205143)

Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

Answer:

The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base

Step-by-step explanation:

The Uncle Richard's phone number contains 8 different digits which are given by 67935421.

The term "numerical digit" refers to a single sign that is used to represent numbers in a positional numeral system, either by itself (as in "2") or in conjunction with other symbols (as in "25"). The term "digit" refers to the ten digits (Latin digiti meaning fingers) of the hands, which are the decimal (old Latin adjective decem meaning ten) digits. These digits correspond to the ten symbols of the conventional base 10 numeral system.

Let the number with eight different digits be a, b, c, d, e, f, g, h

So sum of the numbers formed by the first 5 digits and the number formed by the last 3 digits is 68427

     a b c d e                                                d e f g h

+           f g h                                           +         a b c

    6 8 4 2 7                                                3 6 0 9 0

So, a = 6 and d = 3

Hence by calculating in such way we get,

b = 7, c = 9  , e = 6 , f = 4  , g = 9 , h = 1    

Therefore, number with eight different digits be a, b, c, d, e, f, g, h

67935421  

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Answer:

Step-by-step explanation:

-2/3 * 5 1/6 .....step 1.....correct

(-2/3 * 5) + (-2/3 * 1/6).....his error is here...it should be like I have written it, but Calvin is getting his addition and multiplication mixed up

-10/3 + (-1/9) =

-30/9 - 1/9 =

-31/9 =

- 3 4/9

Answer:

Step 1

Step-by-step explanation:

Edge 2020

Answer:24%

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

Answer:

20.52

Step-by-step explanation:

I used a calculator

Answer:

Step-by-step explanation:

Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?

There is a simple solution to this.

First, lets find out how much people is 1/9

We can do this by dividing 18 by 9 to get 2

So 1/9 of the group is 2 people.

Now you can use this to find 8/9 by multiplying 2 by 8

This gives you the total of 16

Another way you could do this was take the answer from the first step and subtract that from the 18

9/9 - 1/9 = 8/9   => 18 - 2 = 16

Hope this helps! =)

Answer:

a. (6,2)

Step-by-step explanation:

4 - 1 = 3 (2) = 6

2 - 1 = 1 (2) = 2

Answer:

$8225

Step-by-step explanation:

329 (amount for each ipad mini) x 25 (amount of ipad minis Missbailey is going to buy) = 8225.

R = 1/3.

a. R = Does not converge
b. R = Cannot be determined without knowing the value of sum.gif
c. R = 1
d. R = 1
e. R = 1/3

To find the radius of convergence, R, of the series, we need to use the ratio test. The series is given by:

sum(n=1 to infinity) of a_n

where a_n is given by:

a_n = x^n * n^43^n

Applying the ratio test, we get:

lim (n → ∞) |a_n+1 / a_n| = lim (n → ∞) |x^(n+1) * (n+1)^43 * 3^(n+1) / (x^n * n^43 * 3^n)|

= lim (n → ∞) |x * (n+1)^43 * 3 / n^43|

= |x| * lim (n → ∞) ((n+1)/n)^43

= |x|

The series converges if the limit is less than 1 and diverges if the limit is greater than 1. Therefore, we need to solve the inequality |x| < 1 to find the radius of convergence, R.

a. If x = infinity, then the series diverges.

b. If x = sum.gif, then the series converges if |sum.gif| < 1. We cannot simplify this expression further without knowing the value of sum.gif.

c. If x = 1, then the series becomes:

sum(n=1 to infinity) of n^43

This is a p-series with p = 43 > 1, which converges. Therefore, R = 1.

d. If x = -1, then the series becomes:

sum(n=1 to infinity) of (-1)^n * n^43

This is an alternating series with decreasing terms. We can apply the alternating series test to show that it converges. Therefore, R = 1.

e. If x = 3, then the series becomes:

sum(n=1 to infinity) of n^43 * 3^n

This is a geometric series with a common ratio r = 3 > 1. Therefore, the series diverges.

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Answer:

C

Step-by-step explanation:

because nobody makes wires out of crayons but crayons r cheap and they would be used as wires but they arent probably cuz they dont conduct electricity

We know that :

therefore , the correct option is B. 3/4

The function f(x), representing the number of blocks Eva is away from her house after x minutes is

\(f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}\)

The graph for the same is attached.

In the question, we are asked to form a graph showing the number of blocks, that Eva is away from her home at x minutes, after she leaves her home.

To form the graph, we first try to make a function for x minutes, f(x), showing the number of blocks Eva is away from her home after x minutes.

Since x represents time, it cannot be negative.

At x = 0, f(x) = 0, as she is at her home at 0 minutes.

Then, Eva visits the store, 3 blocks away from her home at a speed of 1 block per minute.

Thus, she moves 1 block every minute up to 3 minutes.

Thus, we get f(x) = x, 0 < x ≤ 3.

After this, she spends 3 minutes at the store, giving f(x) = 3, 3 < x ≤ 6.

Then she moves towards the bank, in the same direction, 3 blocks away at the speed of 1 block every 2 minutes.

Thus, in every minute, she travels 1/2 block.

Thus, the function can be designed as follows:

f(x) = 3 + (1/2)(x - 6), 6 < x ≤ 12,

or, f(x) = x/2, 6 < x ≤ 12.

Now, we are given that she stops at the bank for 6 minutes.

Thus, we get, f(x) = 6, 12 < x ≤ 18.

Now, she drove back home, at the speed of one block every minute.

Thus, we get f(x) = 6 - (x - 18), 18 < x ≤ 24,

or, f(x) = 24 - x, 18 < x ≤ 24.

At the 24th minute, Eva reaches her house back, giving f(x) = 0, x > 24.

Thus, the complete function can be shown as:

\(f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}\)

The graph for this function is attached.

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Answer:

To find the surface area of a pyramid, we need to use the formula:

Surface Area = Base Area + [ (Perimeter of Base) x (Slant Height) ] / 2

Assuming the base of the pyramid is a square with sides of length 9in, the Base Area = 9in x 9in = 81in²

To find the slant height, we need to use the Pythagorean theorem:

( Slant Height )² = ( Height )² + ( 1/2 Base )²

( Slant Height )² = ( 9/2 )² + ( 9/2 )²

( Slant Height )² = 81/4 + 81/4

( Slant Height )² = 162/4

( Slant Height )² = 40.5

Slant Height = sqrt( 40.5 ) = 6.36in (rounded to two decimal places)

Perimeter of Base = 4 x Base = 4 x 9in = 36in

Now we can plug these values into the formula:

Surface Area = 81in² + [ ( 36in ) x ( 6.36in ) ] / 2

Surface Area = 81in² + ( 228.96in² ) / 2

Surface Area = 81in² + 114.48in²

Surface Area = 195.48in²

Rounding to the nearest tenth gives us answer A. O 187.1 in²

The Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.What useful information does this Integrated Program Management Report (IPMR) extract provide an analyst about estimates at completion (EACs)?

The Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element. IPMR, also known as the CPR Format 1, is a contractually mandated report submitted by contractors to the Government customer.This portion of the IPMR displays the contractor's EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

The EAC is the contractor's most recent estimate of the entire effort's final cost. In the course of the work, it may be changed numerous times in response to new data and changing conditions.The IPMR extract displays budgeted and estimated at completion values for each element, as well as the variance between the two values.

The EAC reflects the contractor's current assessment of the financial consequences of the work accomplished and the expected cost of completing the effort. The data can include current and cumulative to date BCWS, BCWP, ACWP, and cost and schedule variances.As a result, the Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

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Answer:

870

Step-by-step explanation:

70

Answer:

21.875

Step-by-step explanation:

you do 175 divided by 8

The required number of tables to seat 175 people are 22.

Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

it is given that,

Number of chairs for 1 table = 8

Number of people to seat =  175

Therefore chairs = 175

Since 8 chairs are required at every round table

Therefore,

Number of tables to seat 175 people = Number of people to seat/Number of chairs for 1 table

⇒ Number of tables to seat 175 people = 175/8

⇒ Number of tables to seat 175 people = 21.87 ≈ 22 tables

Thus, the required number of tables to seat 175 people are 22.

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We have the next function

First, we need to calculate the derivate of the function

the critical points are when the derivate is 0 or can be calculated

in this case, x=-5 is a critical point and it doesn't belong

to the interval given therefore the number of critical points is 0

Answer:

Step-by-step explanation:

let x= hamburger

let y= hot dogs

Jalen:       5x+3y=28.50

Victoria:    2x+6y=21

is second choice

Xds for the given straight line segment and parabolic curve are Xds = (2/9) (1+(1.5x)²)\(^(3/2)\)+ C.

The parabolic curve x =t, y =12, from (0,0) to (2,4), for the straight line segment, x ds, use the formula:

Xds = ∫√(1+dy/dx²)dx.

For the given straight line segment, x=t;y= from (0,0) to (20,4), the equation is y = 4x/20, or y = 0.2x.

Therefore, dy/dx = 0.2.

Xds = ∫√(1+(0.2)²)dx= ∫√(1+0.04)dx= ∫√(1.04)dx

Evaluating this integral using the substitution method, let u = 1.04x,

we have:

Xds = 1/√1.04 ∫√u du

= 1/√1.04ˣ(2/3) u\(^(3/2)\) + C

= 1/√1.04 ˣ (2/3) (1.04x)\(^(3/2)\) + C

= 0.9626(1.04x)\(^(3/2)\) + C.

For the given parabolic curve x =t, y =12, from (0,0) to (2,4), the equation is y = 12x²/16 = 0.75x².

Therefore, dy/dx = 1.5x. Substituting this value in the formula above, we have:

Xds = ∫√(1+(1.5x)²)dx

Again, using the substitution method, let

u = 1+(1.5x)²,

we have:

Xds = (2/3)∫√u du= (2/3) ˣ (1/3) u\(^(3/2)\) + C= (2/9) (1+(1.5x)²)\(^(3/2)\) + C.

Therefore, Xds for the given straight line segment and parabolic curve are:

For straight line segment:

Xds = 0.9626(1.04x)\(^(3/2)\) + C.For parabolic curve:

Xds = (2/9) (1+(1.5x)²)\(^(3/2)\)+ C.

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An exponential function can represent growth or decay

The percent rate of change represented by a growth factor of 1.15 is 15%

The growth factor is given as:

b = 1.15

Given that the growth factor is greater than 1, the percent rate of change (r) is calculated as:

r = b - 1

So, we have:

r = 1.15 - 1

Evaluate the difference

r = 0.15

Express as percentage

r = 15%

Hence, the percent rate of change represented by a growth factor of 1.15 for an exponential function is 15%

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The map visually represents the spatial distribution of the Hispanic population across U.S. counties, allowing for the identification of patterns and clusters. On the other hand, the histogram provides a quantitative representation of the distribution, illustrating the frequency or density of Hispanic population within specific ranges or categories.

The map reveals certain features that may not be apparent in the histogram. For instance, it allows us to observe spatial concentrations or clusters of Hispanic population, such as regions with high densities of Hispanic residents or areas where the Hispanic population is more dispersed. These spatial patterns can provide insights into factors like immigration patterns, cultural heritage, or historical settlement patterns that influence the distribution of the Hispanic population in the United States.

Conversely, the histogram highlights features that may not be readily visible in the map. The histogram enables a more detailed examination of the distribution within specific population ranges or categories. It can reveal the frequency or density of the Hispanic population within each range, allowing for comparisons across different counties or regions. By examining the histogram, one can identify variations in the size or proportion of the Hispanic population in different areas, potentially indicating demographic disparities or variations in population growth rates.

In summary, the map provides a visual understanding of the spatial distribution of the Hispanic population, highlighting clusters and patterns, while the histogram offers a quantitative representation, revealing variations in population density within specific ranges or categories. Both tools are valuable for analyzing and interpreting the distribution of the Hispanic population in U.S. counties, providing complementary perspectives for understanding demographic trends and patterns.

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Answer:

Step-by-step explanation:

Let's make a proportion:

5 min piano   -      8 min gitar

X min piano   -     64 min gitar

Olumide practice pian:

\(X=\frac{5 \cdot 64 }{8} = 40 min\)

The correlation coefficient can be calculated using the formula: r = √(1 - SSE/SS Total) Substituting the given values, r = √(1 - 960/1600) = √(0.4), r = 0.632

The correlation coefficient, denoted as r, is used to measure the strength and direction of the linear relationship between two variables. In this case, we have a given regression equation Y = 30 + 8X, and we are given the values of SSE (Sum of Squares Error) and SS Total (Sum of Squares Total). To find the correlation coefficient, we need to calculate the Coefficient of Determination (R²) first, which is given by:
R² = 1 - (SSE / SS Total)
Substituting the given values:
R² = 1 - (960 / 1,600) = 1 - 0.6 = 0.4
Now that we have the value of R², we can find the correlation coefficient (r) by taking the square root of R^2 and determining the appropriate sign based on the regression equation:
r = ±√0.4 = ±0.632
Since the slope in the given regression equation (Y = 30 + 8X) is positive (8), the correlation coefficient is also positive:
r = +0.632
Therefore, the correlation coefficient for the given regression equation is +0.632.

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Answer:     -30

Step-by-step explanation:

g(x)=3x-3

for g(-9)

g(-9)=3(-9)-3

       = -27-3

g(-3) =-30

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

8x+20=360

-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

The measure of ∠D in parallelogram ABCD is 52.5°.

A parallelogram is a 2D figure in which opposite sides are equal.

We know in a parallelogram sum of the adjacent angles is 180° and opposite angles are equal.

∴ In a parallelogram, ABCD ∠A = ∠C and ∠B = ∠D and we also know that sum of all the interior angles of a parallelogram is 360°.

∴ ∠A + ∠B + ∠C + ∠D = 360°.

2∠A + 2∠B = 360°.

2(3x) + 2(x+10) = 360°.

6x + 2x + 20° = 360°.

8x = 340°.

x = 42.5°.

Given, ∠B = ∠D = x + 10° = 42.5° + 10° = 52.5°.

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The given series, 53/n(-1)^n with n=11, is evaluated using the Divergence Test and it is determined that the limit as n approaches infinity is indeterminate. Therefore, the Divergence Test does not provide a conclusive result for the convergence or divergence of the series.

In the Divergence Test, we examine the limit of the terms of the series to determine convergence or divergence. For the given series, bn is defined as 53/n(-1)^n with n=11.

To evaluate the limit as n approaches infinity, we substitute infinity for n in the expression and observe the behavior. However, in this case, we have a specific value for n (n=11), not infinity. Therefore, we cannot directly apply the Divergence Test to determine convergence or divergence.

Since the limit of bn cannot be evaluated, we cannot make a definitive conclusion using the Divergence Test alone. The Alternating Series Test, which is used to determine the convergence of alternating series, is unnecessary in this case. It is important to note that without further information or additional tests, the convergence or divergence of the series remains unknown based on the given data.

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The coordinates of R' after the transformations are given as follows:

D. (10, 12).

Examples of transformations are given as follows:

The coordinates of R are given as follows:

R(2,4).

The dilation by a scale factor of 3 means that each coordinate is multiplied by 3, hence:

R'(6, 12).

The translation means that 4 is added to the x-coordinate, hence:

R''(10, 12).

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Answer:

15  pieces of chocolate 7.5 s'mores

Step-by-step explanation:

you multiply 15 and 5 and you find the answer is 7.5