In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

Answer:

Step-by-step explanation:

In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;

Let set A = {a, b, c, d}

Power of the set P(A) = [tex]2^n[/tex] where:

n is the total number of element in the set. Since we have four elements in the set, n = 4

[tex]P(A) = 2^4\\P(A) = 16[/tex]

This means that the set A have 16 subsets. The subsets of the set are:

{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.

From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.

Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

Answer:

my life hurts now

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

GET A BOOK U MORON

Answer:

a) The object reaches its maximum height at t=2.5 seconds

b) The maximum height is 300 m

Step-by-step explanation:

Maximum Value of a Function

First derivative criteria:

If f(t) is a real continuous function of t and the first derivative of f called f'(t) exists, then solving the equation:

f'(t)=0

Gives the critical points of f, some of which could be maximum or minimum.

Second derivative criteria:

If t=t1 is a critical point of f(t) and the second derivative of f:

f''(t1) is positive, then t1 is a minimum of f

f''(t1) is negative, then t1 is a maximum of f.

f''(t1)=0, no conclusion can be drawn.

The height of the object is modeled by the function:

[tex]h(t) = -16t^2+80t + 200[/tex]

a)

To find the maximum height, we use the above criteria.

Find the first derivative:

h'(t) = -32t+80

Equate h'(t)=0

-32t+80=0

Solve:

[tex]-32t=-80[/tex]

[tex]t=80/32=2.5[/tex]

t=2.5 seconds

Find the second derivative:

h''(t)=-32

Since the second derivative is negative, the critical point is a maximum.

The object reaches its maximum height at t=2.5 seconds

b) Evaluate h(2.5)

[tex]h(2.5) = -16\cdot 2.5^2+80\cdot 2.5 + 200[/tex]

[tex]h(2.5) = -100+200 + 200[/tex]

h(2.5)=300 m

The maximum height is 300 m

Answer:

It would cost $2.20

Step-by-step explanation:

If 3 cans = $.55

then 3*4 = 12

soooo 4*.55 = 2.20

Hope this helps!!!

Answer:

Your answer is: x/9 + z/3 + 5/3

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

8x²- x -8

Step-by-step explanation:

The question is not well written. I guess what you mean is:

Subtract -2x^2+4x-1 ( minus 2x squared plus 4x minus 1) from 6x^2+3x-9 (6x squared plus 3x minus 9).

To  subtract -2x^2+4x-1 from 6x^2+3x-9, that is

6x^2+3x-9 - (-2x^2+4x-1). This can be written as

6x²+3x-9 - (-2x²+4x-1)

Now, opening the bracket, we will get

6x²+3x-9 +2x²-4x+1

Then, collecting like terms, we get

6x²+2x²+3x-4x-9+1

6x²+2x² = 8x²

3x-4x = -x

-9+1 = -8

∴6x²+2x²+3x-4x-9+1 becomes

8x²-x -8

The answer is 8x²-x -8.

Simplified form of the polynomial :

8x²- x -8

Given(correct form of question):

Subtract -2x²+4x-1 ( minus 2x squared plus 4x minus 1) from 6x²+3x-9 (6x squared plus 3x minus 9).

Now,

To  subtract -2x²+4x-1 from 6x²+3x-9, that is

6x²+3x-9 - (-2x²+4x-1). This can be written as

6x²+3x-9 - (-2x²+4x-1)

Now, opening the bracket, we will get

6x²+3x-9 +2x²-4x+1

Then, collecting like terms, we get

6x²+2x²+3x-4x-9+1

6x²+2x² = 8x²

3x-4x = -x

-9+1 = -8

∴6x²+2x²+3x-4x-9+1 becomes 8x²-x -8

Thus,

The answer is 8x²-x -8.

Learn more about polynomials,

https://brainly.com/question/29182596

#SPJ6

There are three possible answers

 Slope = -1.000/2.000 = -0.500

 x-intercept = 10/1 = 10.00000

 y-intercept = 10/2 = 5

If this is helpful please mark brainliest. Have a great day

Answer: $25.38

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

7920

Step-by-step explanation:

Answer:

The answer would be 6/18 or 3/9

Step-by-step explanation:

Answer:

if dividing...0.3

if multiplying...0

Step-by-step explanation:

Answer:

isn't it just 6

Step-by-step explanation:

The largest integer less Than 15 according to the options given is 6.

Integer are real numbers which are expressed as whole numbers.

From the options given, since all the values are integers, then the appropriate answer will be the largest of the integer values.

The largest value is 6.

Hence, 6 is the appropriate answer.

Learn more : https://brainly.com/question/24487999

Answer:

The speed of the boat is 20 km/hr

Step-by-step explanation:

Let s be the speed of boat in still water

Let d be the distance

Upstream speed = s-4

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.

So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]

Downstream speed = s+4

So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]

So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]

30s-120=20s+80

10s=200

s=20

Hence The speed of the boat is 20 km/hr

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Answer:

D.50

Step-by-step explanation:

its the closes whole number to 49.13

Answer:

6.32455532034

is the square root of 40

Answer:

C. rational numbers and irrational numbers

Step-by-step explanation:

Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.

The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.

Answer:

147 yards

Step-by-step explanation:

Use a system of equations

Let x be length of rectangle and y be width of rectangle

x = 3y

2x + 2y = 56

Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.

Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.

Area is length times width, so area is 21 * 7 = 147

Answer:

area= 147 yd

Step-by-step explanation:

l= 21 yd

w= 7 yd

Formula: a=lxw (area=length x width)

a=21 x 7

21 x 7=147 yd

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

Answer: 12x+6

Step-by-step explanation:

distributive property

Answer:

=12x + 6

Step-by-step explanation:

Answer:

a=60

b=85

c=35

Step-by-step explanation:

a is shown to be 60 in the text along with c being 85 with its angle so just add 60 and 85 to get 145 and fill in the remaining to get 180 which gives you c as 35

Answer:

80

Step-by-step explanation:

8 pints in a gallon so then you multiply 8 x 10 and get 80

Answer:

80

Step-by-step explanation:

I hope this helps!

Answer:

Not equal to.

Step-by-step explanation:

Answer:

A. The two rays form angle CAB.

C. The two rays make a line AC.

D. The two rays intersect at point A.

E. The two rays are perpendicular.

This is shown in figure 1 in the attachment provided.

Step-by-step explanation:

The given rays, [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] shows that both rays have a common endpoint A.

Therefore, the following conditions exists:

A. "The two rays form angle CAB."

Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.

C. "The two rays make a line AC."

As shown in figure 2 in the attachment provided below, [[tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] have a common end point, A, and they extend in opposite directions to form a straight line AC. [tex] (\overline{AC}) [/tex]

D. "The two rays intersect at point A."

This is shown in figure 1 in the attachment provided.

E. "The two rays are perpendicular."

Since [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

Answer:

The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.

Step-by-step explanation:

The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as

Ha:μ>10.

The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.

Answer:

183

Step-by-step explanation: 13+4=17    200-17=183

Answer:

181

Step-by-step explanation:

Answer:

random numbers

Step-by-step explanation:

because they are randomly picked

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

Random experiments are repeated multiple times to determine its likelihood.  

The number of times an experiment is repeated is better described as number of trials.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

To Learn more about Random numbers, click here;

https://brainly.com/question/3798851

#SPJ5