In the trapezoid below, EF is parallel to BC. If ED = 35, BC = 63, DC = 28,
and EF = 45, find the length of BD. Figures are not necessarily drawn to scale.

Answer:

Step-by-step explanation:

Answer:

154^2ft

Step-by-step explanation:

you multiply LxWxH for getting the volume

The values for the net change and average change is given as-

7. Net change = 2 , Average change = 2/3.

8. Net change = -2, Average change = -1/2.

9. Net change = -4, Average change = 4/5.

10. Net change = 4, Average change = 2/3.

Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.

Part 7:

The points on x axis are;

a = 1 and b = 4

f(b) = f(4) = 5

f(a) = f(1) = 3

Thus, net change is; f(b)−f(a)

= f(4) - f(1)

= 5 - 3

net change = 2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(4) - f(1)]/(4 - 1)

net change = 2/3.

Part 8:

The points on x axis are;

a = 1 and b = 5

f(b) = f(5) = 2

f(a) = f(1) = 4

Thus, net change is; f(b)−f(a)

= f(5) - f(1)

= 2 - 4

net change = -2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(1)]/(5 - 1)

net change = -2/4 = -1/2

Part 9:

The points on x axis are;

a = 0 and b = 5

f(b) = f(5) = 2

f(a) = f(0) = 6

Thus, net change is; f(b)−f(a)

= f(5) - f(0)

= 2 - 6

net change = -4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(0)]/(0 - 5)

net change = -4/-5 = 4/5

Part 10:

The points on x axis are;

a = -1 and b = 5

f(b) = f(5) = 4

f(a) = f(-1) = 0

Thus, net change is; f(b)−f(a)

= f(5) - f(-1)

= 4 - 0

net change = 4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(-1)]/(5 + 1)

net change = 4/6 = 2/3

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Answer:

[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]

Step-by-step explanation:

the explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then

[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]

Answer: ≈578 cm²

Step-by-step explanation:

[tex]V_{cyl}=1056\ cm^3\ \ \ \ H=21\ cm\\V_{cyl}=\pi R^2H\\1056=\pi *R^2*21\\1056=21\pi *R^2\\[/tex]

Divide both parts of the equation by 21π:

16=R²

4²=R²

4=R

[tex]S{tot\ sur}=\pi R^2+2\pi RH\\S{tot\ sur}=\pi R*(R+2H)\\S{tot\ sur}=\pi *4*(4+2*21)\\S{tot\ sur}=4\pi *(4+42)\\S{tot\ sur}=4\pi *46\\S{tot\ sur}=184\pi \\S{tot\ sur}\approx578\ cm^2[/tex]

Answer:

I believe the answer would be 384

Step-by-step explanation:

4×-8 (5× -3+3)

-32 × -12

384

BOOM!!! Your Welcome

Answer:

193.0 mph

Step-by-step explanation:

The average is defined as the sum of the items divided by the number of items.  In this case the sum is 771.888.  If we divide that by the number of items (4) we get 192.972.  However, our answer typically cannot have more significant digits than the element having the least number of significant digits.  Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well.  So 192.972 will round to 193.0.

Answer:

3ab

Step-by-step explanation:

Triple means multiply by 3.

The product of ab is simply ab.

Answer: 3ab

By observation or by inspection, 7.40 appears the most, thus mode.

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.

The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.

When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.

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Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Sandy's entertainment expenses are  228.38 percent of Jamie's insurance expenses.

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.

The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit

(52 /2) x $65

26 x $65 = $1690

Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%

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40 Remainder 1

hope this helps :)

Answer:

100

Step-by-step explanation:

0.3n - 15 = 0.2n - 5

0.3n - 0.2n = - 5 + 15

0.1n = 10

10/0.1 = n

n = 100

The probability of being dealt in a queen is 1/13.

To find the probability:

Therefore, the probability of being dealt in a queen is 1/13.

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gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

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Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. [tex]\frac{13 * 4}{25 * 4}[/tex]

step 3: we get [tex]\frac{52}{100}[/tex]

step 4: now we can easily write the decimal fraction. ie. 0.52

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The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.

Given a bus ride costs 11 pesos for first 4 kilometers.

2.00 pesos for each succeeding kilometer.

Function of Fare (F) in terms of distance (d).

Let F represent the total fare and d represent the distance in kilometers.

F = rate of fare × distance

rate = 11 for 4 km, and 2 for each km

rate = 11, if x ≤ 4,

rate = 2, if (x₋4), and x > 4

hence the equation is:

F = 11 pesos, if x ≤ 4,

F = 11 ₊ 2(x₋4), if x > 4

Simplify the above equation.

F = 11 ₊ 2x ₋ 8

F = 2x ₊ 3

Hence we derived the function in terms of distance as F = 2x ₊ 3

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After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).

We are given the expression as:

2 cos (3 x) sin (3 x)

Now, we know the trigonometric identity as:

2 sin θ cos θ = 2 sin (2 θ)

Using this identity in the expression where θ = 3 x, we get that:

2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)

2 cos (3 x) sin (3 x) = sin (6 x)

Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).

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The answer is option C, No; the graph fails the vertical line test.

The graph given doesn't show a function.

The method that is used to determine whether a given graph is a function or not is called the vertical line test. In this test, a vertical line is drawn at an arbitrary point x. If this line touches the given graph at more than 2-points, then the given graph is not a function.

In the given graph, if we draw a vertical line for any x > -1, then this vertical line touches the graph at more than two points.

In other words, for any value x > -1, the corresponding value of y is not unique.

So, the answer is option C, No; the graph fails the vertical line test.

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Answer:

2/9

Step-by-step explanation:

_________________________

Answer:

1 5/9

Step-by-step explanation:

1. 1+1/3 = 1 1/3

2. 1 1/3 x 1 1/3 = 1 7/9

3. 1 7/9 - 2/9 = 1 5/9

Considering the box plot and the histogram, we have that the conclusions are as follows:

b. Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.

c. Disagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.

An histogram is a graph that shows the number of times each element of x was observed.

A box and whisker plot shows five things:

The range of a data-set is given by the difference between the largest value in the data-set and the smallest.

The box plot gives these values explicitly, while the histogram show the number of times each range appears, hence, in statement b:

Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.

Disagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.

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Answer: y=-x+17

-1 ==> slope

(0, 17)

Step-by-step explanation:

x+y=17

x-x+y=17-x

y=-x+17

-x/x=-1 ==> slope

y=-x+17

y=-(0)+17

y=17 ==> (0, 17)

Answer:

no

Step-by-step explanation:

Answer:

Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.

The Arithmetic sequences are-

The common difference must be same for the sequence to be arithmetic;

d₁ = a₂- a₁

d₂ = a₃ - a₂

Thus, d₁ = d₂

Check the common differences for given sequences are-

A. -5, 5, -5, 5, - 5, 5....

d₁ = 5 - (-5) = 10

d₂ = -5 - 5 = -10

d₁ ≠ d₂, not a Arithmetic sequences

B. 96, 48, 24, 12, 6...

d₁ = 48 - 96 = -48

d₂ = 24 - 48 = -24

d₁ ≠ d₂, not a Arithmetic sequences

C. 18, 5.5, -7, -19.5, -32...

d₁ = 5.5 - 18 = -12.5

d₂ = -7 - 5.5 =  - 12.5

d₁ = d₂,  Arithmetic sequences

D. -1, -3, -9, -27, -81....

d₁ = -3 -(-1) = -2

d₂ = -9 - (-3) = -6

d₁ ≠ d₂, not a Arithmetic sequences

E. 16, 32, 48, 64.....

d₁ = 32 - 16 = 16

d₂ = 48 - 32 = 16

d₁ = d₂,  Arithmetic sequences

Thus, the common difference must be equal for Arithmetic sequences.

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From the odd function, the table is completed as follows:

For this problem, we have that it is an odd function, then:

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Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.

As given,

Let x, x +2 be two consecutive odd integers

Three times largest integer=3( x+2)

15 less than 2/3 smallest integer=(2/3)x -15

Equation :

3(x+2)=(2/ 3)x -15

⇒ 3x +6=(2x -45)/3

⇒ 9x-2x= -18 -45

⇒ 7x=-63

⇒ x =-9

and x+2 =-7

Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.

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