find the area of this figure

Answer: Penny need to travel 49 feet before it hits the ground.

Step-by-step explanation:

Since we have given that

[tex]h(t)=-16t^2+305[/tex]

Here, h denotes the height of the penny

t denotes the time in seconds.

Now, t = 4 seconds

So, the penny needs to travel before it hits the ground is given by

[tex]h(4)=-16(4)^2+305\\\\h(4)=-16\times 16+305\\\\h(4)=256-+305\\\\h(4)=49\ feet[/tex]

Hence, Penny need to travel 49 feet before it hits the ground.

After 4 seconds, the penny needs to travel an additional 49 feet before it hits the ground.

The equation h(t) = -16t^2 + 305 represents the height of the penny at time t seconds. To find out how much further the penny needs to travel before it hits the ground after 4 seconds, we need to substitute t = 4 into the equation and solve for h.

h(4) = -16(4)^2 + 305

h(4) = -256 + 305

h(4) = 49 feet.

Therefore, the penny needs to travel an additional 49 feet before it hits the ground.

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The answer is seven

Step-by-step explanation:

8.

[tex]\triangle CHF\sim\triangle YWS\\\\\angle C\cong\angle Y\\\angle H\cong\angle W\\\angle F\cong\angle S\\\\\dfrac{CH}{YW}=\dfrac{HF}{WS}=\dfrac{CF}{YS}[/tex]

Although it does not look like the picture.

From the picture ∠F ≅ ∠Y...

We must stick to the correct writing:

Δ → Δ

C → Y

H → W

F → S

12.

ΔMLK and ΔYWZ are not similar because they have different angles (different shape).

Answer:

B

Step-by-step explanation:

y is 3 times the x

Answer:

B

Step-by-step explanation

1/3=3

6/2=3

12/4= 3

15/5=3

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Substitute x = 2 into both h(x) and f(x)

h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2

= [tex]\frac{1}{4}[/tex]

1/4 is the following function at x=2​

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

Substituting x = 2 into both h(x) and f(x)

h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

h(x)²/f(x)  when x = 2

=1/4

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Answer:

Tationia Rolon

Step-by-step explanation:

I think its C because the median is the number in the middle

Answer

6

Step-by-step explanation:

I got is correct on usatestprep

Answer:

52%

Step-by-step explanation:

We are told that, of all customers 65% buy a burger. This would imply that the proportion of customers who buy a burger is 0.65.

Moreover, if a customer buys a burger, the probability they buy french fries is 0.80. This implies that the proportion of customers who buy fries given that they bought a burger is 0.8.

Therefore, the proportion of customers who get a burger and fries is simply the product of the two probabilities;

= 0.65*0.8

= 0.52

Therefore, 52% of all customers get a burger and fries

Answer:

z = 1.3345

Step-by-step explanation:

The z-score for a given data point, say x, from a normal distribution with a given mean and population standard deviation is usually calculated using the formula;

[tex]z=\frac{x-mean}{standard deviation}[/tex]

The following information is available;

mean = 7

population standard deviation = 3.522

x = 11.7

We simply employ the above formula to determine the z-score associated with the 11.7 data point;

[tex]z=\frac{11.7-7}{3.522}=1.3345[/tex]

Answer:

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

We want to evaluate:

[tex]\frac{r+2}{r+4}-\frac{3}{r+1}[/tex]

We collect the least common multiple of the denominators to get:

[tex]\frac{(r+2)(r+1)-3(r+4)}{(r+4)(r+1)}[/tex]

Expand the numerator:

[tex]\frac{r^2+3r+2-3r-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-3r+3r+2-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Answer:

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

[tex]\frac{r+2}{r+4} - \frac{3}{r+1}[/tex]

To simplify the fractions we take common denominator

LCD is (r+4)(r+1)

we try to get same denominator on both fraction

multiply the first fraction by r+1 and second fraction by r+4

[tex]\frac{(r+2)(r+1)}{(r+4)(r+1)} - \frac{3(r+4)}{(r+1)(r+4)}[/tex]

(r+2)(r+1) becomes r^2 +3r+2

3(r+4) becomes 3r+12

[tex]\frac{ r^2 +3r+2}{(r+4)(r+1)} - \frac{3r+12)}{(r+1)(r+4)}[/tex]

[tex]\frac{ r^2 +3r+2-3r-12}{(r+4)(r+1)}[/tex]

combine like terms

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

Answer:

the question is biased towards a no response, because they're asking participants "are you willing to spend the extra time to blah blah" obviously they're going to say no, and the second answer is the sample is not biased because they're not giving the consumers any reason to want the product they're selling.

Step-by-step explanation:

Answer:

The sample is not biased.

The question is biased toward a No response

Step-by-step explanation:

I took the test!

Answer:

A. f(x)

B. g(x)

Step-by-step explanation:

The initial amount if the value of the function at x = 0.

Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.

For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.

Answer:

A. f(x)

B. g(x)

Step-by-step explanation:

The initial amount if the value of the function at x = 0.

Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.

For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.

Answer:

see explanation

Step-by-step explanation:

The equation of the exponential function in the form

y = a[tex]b^{x}[/tex]

Substitute the given points into the equation and solve for a and b

Using (1, 7.5), then

7.5 = ab → (1)

Using (3, 16.875), then

16.875 = ab³ → (2)

Divide (2) by (1)

[tex]\frac{ab^3}{ab}[/tex] = [tex]\frac{16.875}{7.5}[/tex], hence

b² = 2.25 ( take the square root of both sides )

b = 1.5

Substitute b = 1.5 into (1)

1.5a = 7.5 ⇒ a = 5

The exponential function is y = 5[tex](1.5)^{x}[/tex]

Answer:

I wont tell you the answer. But, the answer is 3320/.8

Step-by-step explanation:

Whats 3320/.80?

The total cost of clicks $2656.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Per click charges= 80 cents

Total clicks= 3320

So, charges for 3320 clicks

= 3320 x 80

= 265600 cents

= $2656

Hence, the total cost of clicks $2656.

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Answer:

The events are not independent because the product of their marginal probabilities is not equal to their joint probability

Step-by-step explanation:

Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;

Pr(A) = 0.4

Pr(B) = 0.2

Pr(A n B) = 0.1

The product of their marginal probabilities is;

Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08

Their joint probability is given as;

Pr(A n B) = 0.1

Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.

Answer:

Product of P(A) and P(B) is not equal to P(A and B)

Step-by-step explanation:

it would be option C on E2020

Answer:

Driving to Chicago             Driving Back

d=rt

400/8=r(8)/8

 r=50 mph              <           r= 52 mph

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

15+45-180

120-180

60

Side 3=60

Answer:

120

Step-by-step explanation:

15+45=60

180-60=120

Answer: Since you are finding the missing side of a rectangle, it is 3.

Step-by-step explanation:

Area of rectangle= (l)(w)

The length of the missing side is 3ft.

Area is defined as the space occupied by a flat surface .

It is measured in square units.

It is given in the question

A rectangle with one side as 4ft.

Area of the rectangle = 12 sq.ft

Other side = ?

Area of a rectangle is given by Length * Breadth

Area =  one side * other side

Substituting the values

12 = 4 * other side

other side = 3 ft.

Therefore the length of the missing side is 3ft.

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18 is correct because 1300/65=20 1300-1282=18.

Answer:

41.51

Step-by-step explanation:

We can find the value of x using the trigonometry identify.

Cos (41) = x/55

x = 55cos (41)

x = 41.51

ANSWER

[tex]x = 41.51[/tex]

EXPLANATION

The given triangle has a right angle.

We were given an acute angle that measures 41°

The hypotenuse of the given right triangle is 55.

Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.

[tex] \cos(41 \degree) = \frac{x}{55} [/tex]

Therefore

[tex]x = 55 \cos(41 \degree) [/tex]

[tex]x = 41.509[/tex]

We round to the nearest hundredth to obtain,

[tex]x = 41.51[/tex]

triangles angles always add up to 180° that being said,

41+32=73

180-73=107

angle e= 107°

hope this helps!

Answer:

The surface area of the cylinder is [tex]748\pi[/tex].

Step-by-step explanation:

Given : Radius of the cylinder is 11 unit and height of the cylinder is 23 unit.

To find : What is the surface area of the cylinder in term of pi?

Solution :  

The formula of surface area of cylinder is

[tex]A=2 \pi r^2+2\pi rh[/tex]

Where, r is the radius of the cylinder r=11 unit.

h is the height of the cylinder h=23 unit.

Substitute the value in the formula,

[tex]A=2 \pi r^2+2\pi rh[/tex]

[tex]A=2\pi(r^2+rh)[/tex]

[tex]A=2\pi(11^2+11(23))[/tex]

[tex]A=2\pi(121+253)[/tex]

[tex]A=2\pi(374)[/tex]

[tex]A=748\pi[/tex]

Therefore, The surface area of the cylinder is [tex]748\pi[/tex].

Well you shaded in two of the six, so it is 2/6.

2/6 would be less than 3/6

y = 3x - 5

So substitute 3x-5 for y:

6x + 3(3x-5) = 15

Simplify:

6x + 9x - 15 = 15

15x - 15 = 15

x - 15 = 1

x = 16

THEN find y by plugging the value of x back into the first equation:

y = 3(16) - 5

y = 48 - 5

y = 43

22 feet is the answer I hope this helps

Answer:

Longest rope is 44 feet. 1 piece is 1/2(44)=22. 22+44=66

Step-by-step explanation:

ANSWER

[tex](f-g)(x) = 11 |x| - 32[/tex]

EXPLANATION

The functions are:

[tex]f(x) = 10 |x| + 26[/tex]

[tex]g(x) = 58 - |x| [/tex]

[tex](f-g)(x) = f(x) - g(x)[/tex]

Plug in the functions:

[tex](f-g)(x) = 10 |x| + 26 - (58 - |x| )[/tex]

[tex](f-g)(x) = 10 |x| + 26 - 58 + |x| [/tex]

[tex](f-g)(x) = 10 |x| + |x| + 26 - 58[/tex]

[tex](f-g)(x) = 11 |x| - 32[/tex]

The correct choice is A

Answer:

11|x|-32 hope this helps :D

Step-by-step explanation:

10|x|+26-(58-|x|)

10|x|+26-58+|x|

10|x|+|x|+26-58

11|x|-32

The expected value of the lottery game is -$0.62, suggesting a long-term average loss of 62 cents per game played. This value is calculated by considering the probability of each outcome and the associated gain or loss.

In order to calculate the expected value of the lottery game, we must first understand what expected value truly represents. The expected value is essentially a description of the average outcome of a series of events if these events are repeated many times. It's a statistical concept used to predict the long-range behavior of random events, such as lottery games.

The expected value is calculated as the sum of all possible values each multiplied by the probability of its occurrence. For the lottery game described, there are two possible outcomes: a win of $30,000 or a loss of $1.

The probability of winning is extremely low. In this game, the player is attempting to choose the correct 6 numbers out of 20, which is a 1 in 38,760 chance. Whereas, the probability of losing is extremely high, practically 38,759 out of 38,760.

Thus, the Expected Value (E) can be calculated as follows: (probability of winning x winnings) + (probability of losing x loss). Plugging in our values gives us an expected value of -$0.62, rounded to the nearest cent. This figure indicates that if one were to play this game repeatedly, their average loss per game would be about 62 cents.

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Answer:

The triangle is not a right triangle

[tex](\theta)[/tex] is an acute angle

[tex]cos(\theta) > 0[/tex]

Step-by-step explanation:

we know that

If a²+b²>c²

then

Is an acute triangle

therefore

angle theta must be less than 90 degrees

Hence

The triangle is not a right triangle

[tex]cos(\theta) > 0[/tex]

[tex](\theta)[/tex] ---> is an acute angle

Answer:

The statements that are necessary when proving that the opposite angles of a parallelogram are congruent are:

B. Opposite sides are congruent - This has to be true as opposite sides should be similar.

C. Angle Addition Postulate.  It states that if a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.

The options that are necessary when proving that the opposite angles of a parallelogram are congruent are:

A parallelogram is known to be a quadrilateral tat is said to have two pairs of parallel sides.

Note that triangles ΔABD and ΔCDB are said to be congruent due to the fact that the angle-side-angle are congruent. parallelogram  is said to have opposite sides are congruent sue to the fact that they have opposite sides that are similar.

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Answer:

Translation

Step-by-step explanation:

Answer:

35.5 m

Step-by-step explanation:

The perimeter of the polygon is the sum of all the sides of the polygon. The sides are given as

11 m , 5 m ,7.5 m , 5m and 7m

Hence the perimeter would be,

11+5+7.5+5+7

= 35.50 m