(No links or I’ll report) Which points are separated by a distance of 5 units?
A. (3,5)
(1,5)
B. (2,3)
(3.3)
C. (1,3)
(6,3)
D. (5, 1)
(1,1)

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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The product of the expression (3/10)(−3.2)(−100) is 96

From the question, the expression is given as

(3/10)(−3.2)(−100)

By the associative property of products, we have the following equation

(3/10)(−3.2)(−100) = (3/10)(−3.2 * −100)

Evaluate the products of the numbers in the same bracket

So, we have the following representation

(3/10)(−3.2)(−100) = (3/10)(320)

Remove the brackets

So, we have the following representation

(3/10)(−3.2)(−100) = 3/10 * 320

Evaluate the products

So, we have

(3/10)(−3.2)(−100) = 96

Hence, the solution is 96

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Answer:

60 degrees

Step-by-step explanation:

The angles all have to add up to 180, so you can do

\(34 + 86 +x = 180\\120 + x = 180\\x = 60\)

Answer:

60° is your answer

I hope it's helps you

Answer:

3.3333333333333333333333 just 3.3

Step-by-step explanation:

Answer:  120 ways

Step-by-step explanation:

given data:

no of chocolate = 10pcs

to be shared among three individuals who are John, Harry and Donald.

there is no restriction to how it can be shared amongst them.

this Problem can be solved using combination as the order with which it would be shared doesn’t matter.

solution:

n = 10

r = 3

= 10C3

= n! / ( n - r )! r !

= 10! / ( 10 - 3 ! ) 3!

= 10! / ( 7! ) 3!

= 120

the chocolate can be shared amongst them in 120ways.

Answer:

a=3; (3,5) and (4,0) for the graph  

Step-by-step explanation:

ax-y=4

x=3, y=5 so...

a(3)-5=4

3a-5=4

+5 +5

3a=9

/3 .  /3

a=3

For the graph, use (3,5) and substitute x and y for anything:

ax-y=4

if x=0...

a(0)-y=4

-y=4

y=4

a=3; (3,5) and (4,0) for the graph!

Answer: -5

Step-by-step explanation:

y2 - y1/x2 - x1

3 + 2/3 - 4

5/-1

-5

The number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a number line shown in the picture.

As we can see each unit is represented by 1.

So after 2 there will be 3 and after 4 there will be 5 and so on.

So after 8, there will be 9 which is represented by the arrow.

Thus, the number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.

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Answer: 9

Step-by-step explanation:

The number line going from - 4 to + 12 represents the range of possible values for the dividend of the division expression. The arrow going from 0 to 9 indicates the actual value of the dividend. Therefore, the number represented by the arrow is 9.

Answer:

The answer is y = x+10

Step-by-step explanation:

\(y - 8 = 1(x + 2) \\ y = x + 2 + 8 \\ y = x + 10\)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{8 - 2}{ - 2 - ( - 8)} = \frac{6}{6} = 1\)

\(y - y0 = m(x - x0)\)

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

480 push-ups

Step-by-step explanation:

40 times 12 = 480

or

80 times 6 =480

Number of pushups that can be completed in 5 minutes = 40

Number of pushups that can be completed in 1 minute :-

\( = \frac{40}{5} \)

\( = 8\)

So , 8 pushups can be completed in one minute .

1 hour = 60 minutes

Number of pushups that can be completed in 1 hour :-

= 8 × 60

= 480 pushups .

Therefore , I can complete 480 pushups in one hour .

Answer:

Get smart and stay safe :D

Answer:

8.7

Step-by-step explanation:

If you like my answer mark me brainliest

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

P((1 + r)^6) = 1,675.80

P((1 + r)^5) = 1,606.50

------------------------------

b) 1 + r = 266/255, so r = 11/255 = .04 = 4%

a) P((1 + 11/255)^5) = 1,606.50

P = $1,300.69

Practice done Before school = for 1/2 hour

Practice done after school = for 1¼ hour = 5/4 hour

Total Practice done = for 1/2 hour + 5/4 hour = 2+5/4 hours = 7/4 hours .

Practice done in 5 days = for 7×5/4 hours = 35/4 hours = 8¾ hours

Answer:

Sean practices 8 hours and 45 minutes.

Step-by-step explanation:

1/2 x 5=2.5= 2 hours and 30 minutes

1 1/4=5/4 x 5= 6.25= 6 hours and 15 minutes

2 hours and 30 minutes + 6 hours and 15 minutes= 8 hours and 45 minutes.

Sean practices 8 hours and 45 minutes.

Answer: x=88/9

Step-by-step explanation:

JK=4x+8

Kl=5x-6

JL=86

JL=JK+KL

86=4x+8+5x-6

86=9x-2

9x=88

x=88/9

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

y=-5

Step-by-step explanation:

-10/2=2y/2

-5=y

y=-5

Answer:

y = - 5

Step-by-step explanation:

You have yo divided the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

Answer: 13 is in C (the set of complex numbers)

Step-by-step explanation:

13 is in R (the set of real numbers)

13 is in Q (the set of rational number)

13 is in Z (the set of integers)

13 is in N (the set of natural numbers)

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

B) 12

Step-by-step explanation:

Given:

ΔABC ~ ΔDEC

AB ~ DE

AC ~ DC

BC ~ EC

We will just use ratios and substitute DE as x:

\(\frac{AB}{AC} =\frac{DE}{DC} \\\\\frac{16}{20} =\frac{x}{15} \\\\20x=240\\\\x=\frac{240}{20} \\\\x=12\)

DE = 12

The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain constant.

The triangles ABC and DEC are similar triangles. Then the ratio of the corresponding sides will be the same.

DE/AB = CD/AC

From the diagram, AB = 16, AC = 20, and CD = 15. Then the measure of the side DE will be given as,

DE/16 = 15/20

DE/16 = 0.75

DE = 16 x 0.75

DE = 12

The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.

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Answer:

Parallel segments → 1

perpendicular segments → 2

congruent segments → 3

\(---------\)

hope it helps...

have a great day!!

Answer:

C?

Step-by-step explanation:

If I understand your description correctly...

Vertical Angles are angles on opposite sides of the X formed by intersecting lines, and are Congruent (equal in measure).

So, 4x-5 = x+16

      4x-x-5+5 = x-x+16+5

      3x = 21

      3x/3 = 21/3

      x = 7

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

133

Step-by-step explanation:

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(\frac { 1 } { 3 } ( \frac { - 9 } { 10 } ) ( - x ) ( - x ) \\ \)

Multiply -x and -x to get \(\left(-x\right)^{2}\).

\(\frac{1}{3}\times \left(\frac{-9}{10}\right)\left(-x\right)^{2} \\ \)

Multiply \(\frac{1}{3}\\\) by \(-\frac{9}{10}\\\) by multiplying the numerator by the numerator and the denominator by the denominator.

\(\frac{1\left(-9\right)}{3\times 10}\left(-x\right)^{2} \\ \)

Carry out the multiplications in the fraction \(\frac{1\left(-9\right)}{3\times 10}\\\).

\(\frac{-9}{30}\left(-x\right)^{2} \\ \)

Reduce the fraction\( \frac{-9}{30}\\\) to its lowest terms by extracting and cancelling out 3.

\(-\frac{3}{10}\left(-x\right)^{2} \\ \)

Calculate -x to the power of 2 and get x².

\( \huge\boxed{ \boxed{ \bf \: -\frac{3}{10}x^{2} }}\)

The weighted average length of a nail from the carpenter's box is 3.5 centimeters.

Different from calculating the average, the weighted average implies considering the frequency or abundance percentage. Now, to calculate the average weighted we will need to multiply the length of each type of nail by the abundance and finally, we will need to add the results obtained. The process is shown below:

Short nail: 2.5 cm x 70.5%= 1.7625 cm

Medium nail: 5.0 cm x (19% = 0.95 cm

Long nail: 7.5 cm x 10.5% = 0.7875 cm

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

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