Following sequence 0.006 0.012 0.018

Answer:

Option a

Step-by-step explanation:

A function is a relationship between two sets called domain and co domain  where there is one output for every input. If you have more than one output for a particular input, i.e. if the mapping of elements of A to B are not unique,  then the quantities represent a relation. A graph of a relationship can be shown to be a function using the vertical line test, which says that at any point if a vertical line makes two intercepts of the curve, the curve cannot be a function.

Given are two sets with {1,2,3,4,5,6} and {2,3,4,5,6,7} where there is a mapping.

We find that while 1,3 have unique mappings 2 does not have an image at all while 4 and 5 have the same image.

Since there is an element in the I set which does not have an image, this cannot be a function.

Option a

3x-5y=8     2x+5y=22

Solve second equation for x; first subtract 5y from each side.

2x=-5y+22    (Divide by 2)

x=-5/2y+11   (Substitute into x into the first equation)

3 (-5/2y+11)-5y=8  (Simplify )

-15/2y +33-5y=8   (Combine like terms)

-25/2y+ 33=8   -25/2y=-25  (Divide each side by -25)

1/2y=1    y=2    Therefore 3x-5(2)=8   3x-10=8   3x=18   x=6

x=6, y=2

- Hope this helps!

Danielle xo

[tex]\(e^3\)=2.71828[/tex]

In [tex]\(e^3\)[/tex], "e" represents Euler's number, an irrational mathematical constant approximately equal to 2.71828. When raised to the power of 3, [tex]\(e^3\)[/tex] signifies the exponential growth of "e" compounded three times. This can be interpreted as the result of continuously compounding interest or growth at a rate of "e" over three time periods. The expression [tex]\(e^3\)[/tex] calculates the value after three such compounding intervals, showcasing the inherent rapid and self-reinforcing nature of exponential growth. In practical terms, [tex]\(e^3\)[/tex] can represent scenarios where a quantity increases or decreases exponentially, such as population growth, financial investments, or decay processes. Understanding [tex]\(e^3\)[/tex] involves recognizing the profound impact of continuous compounding, making it a fundamental concept in various scientific and mathematical applications.

Answer:

[tex]\large\boxed{8425095_{10}=808E87_{16}}[/tex]

Step-by-step explanation:

You divide the given number by 16. Write the result underneath, and the rest of the division on the right.

The number in the hexadecimal system is wrote from the bottom.

10 = A, 11 = B, 12 = C, 13 = D, 14 = E, 15 = F

[tex]\begin{array}{c|c}8425095&7\\526568&8\\32910&14=E\\2056&8\\128&0\\8&8\\0\end{array}\\\\8425095_{10}=808E87_{16}[/tex]

I minimized the steps in the second part. Hope you understand

Answer:

15

Step-by-step explanation:

The angle in total is 90* because its a right angle.

The equation is 4x+30=90

subtract 30 from both sides

4x=60

divide 4 from both sides

x=15

hope this helped!

Answer:

15

Step-by-step explanation: 90-30=60   60÷4=15

Answer:

6

Step-by-step explanation:

The difference between the third quartile and first quartile is known as interquartile range.

The upper quartile is the median of upper half of the data.

The lower quartile is the median of lower half of the data.

Let's arrange in least to greatest:

4,5,6,6,7,8,9,9,10,10,12,12,14,15

The upper half of the data is 9,10,10,12,12,14,15

The median is the 4th number here, so 12. Thus, third quartile = 12

The lower half of the data is 4,5,6,6,7,8,9

The median is the 4th number here, so 6. Thus, first quartile = 6

Interquartile range (difference in third quartile and first quartile) = 12 - 6 = 6

Answer:

[tex]3 ^{1}/_{6}[/tex]

Step-by-step explanation:

6 goes into 19 3 times with a remainder of 1.

So your base number is going to be 3 with your remainder of 1 going into your numerator over the denominator of six.

ANSWER

[tex]3 \frac{1}{6} [/tex]

EXPLANATION

The given expression is :

[tex] \frac{19}{6} [/tex]

This is an improper fraction because the numerator is greater than the denominator.

To express this as a mixed number find the number of times the denominator will divide the numerator exactly and express the remainder over the denominator in simplest form.

[tex] \frac{19}{6} = 3 \frac{1}{6} [/tex]

Answer: [tex]8.66in^3[/tex]

Step-by-step explanation:

The oy rocket shown is formed by a rectangular prism and a regular pyramid whose base is a square.

The volume of the rectangular prism can be calculated with:

[tex]V_{rp}=l*w*h[/tex]

Where "l" is the length, "w" is the width and "h" is the height.

You can observe that:

[tex]l=8in\\w=1in\\h=1in[/tex]

Then, you can substitute values:

[tex]V_{rp}=(8in)(1in)(1in)=8in^3[/tex]

The volume of the regular square pyramid can be calculated with:

[tex]V_p=\frac{s^2*h}{3}[/tex]

Where "s" is the lenght of a side of the base and "h" is the height of the pyramid.

You can observe in the figure that:

[tex]s=1in\\h=2in[/tex]

Substitute into the formula. Then:

[tex]V_p=\frac{(1in)^2(2in)}{3}=\frac{2}{3}in^3[/tex]

The volume of the toy rocket is the sum of the volume of the rectangular prism and the volume of the regular square pyramid. Then:

[tex]V_{toy}=8in^3+\frac{2}{3}in^3=8.66in^3[/tex]

Answer: The Electronic Funds Transfer Act is a federal law that protects consumers engaged in the transfer of funds through electronic methods. This includes the use of debit cards, automated teller machines and automatic withdrawals from a bank account.

Step-by-step explanation:

Answer: It limits liability if their debit card is stolen and used

Yea u have to do that the most effective is the 10 bc penny is right

The Yearling, a novel by Marjorie Kinnan Rawlings, tells of Jody's bond with a deer despite family conflict over crop damage.

Combining sentences 8 and 9:

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

Starting sentences with different parts of speech:

(1) One of my favorite novels is The Yearling.

(2) By Marjorie Kinnan Rawlings, it captures my imagination.

(3) About a yearling, which is a young deer or fawn, it unfolds.

(4) Taking place in Florida during the 1870s, it immerses readers in its setting.

(5) An interesting plot it possesses.

(6) During a hunting trip, a boy named Jody finds the yearling.

(7) Jody’s father, Penny, had shot the fawn’s mother without realizing that it had a baby.

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

(10) Finally, Penny orders Jody to get rid of the deer because it is destructive, but Jody refuses to obey his father.

Lengthening sentence 10 by adding detail:

(10) Finally, Penny, frustrated by the relentless destruction wreaked by the deer on their precious crops, sternly orders Jody to get rid of the deer, demanding obedience from his son. However, defying his father's command, Jody adamantly refuses to part ways with his beloved companion.

Answer:

The Answer is B

Step-by-step explanation:

+7 at the end means up 7

The - 4 in the middle represents right 4

These are found using basic rules of translating equations

For this case we have to define function transformation that:

Let k> 0:

To graph [tex]y = f (x) + k,[/tex] the graph is displayed k units up.

To graph[tex]y = f (x) -k[/tex], the graph is displayed k units units down.

Let h> 0:

To graph[tex]y = f (x-h)[/tex], the graph moves units to the right.

To graph [tex]y = f (x + h)[/tex], the graph moves h units to the left.

We have [tex]y = - \sqrt [3] {x}[/tex]

It moves 7 units up and 4 to the right.

So we have to:

[tex]h = 4\\k = 7[/tex]

The shifted graphic is:

[tex]y = - \sqrt [3] {x-4} +7[/tex]

ANswer:

[tex]y = - \sqrt [3] {x-4} +7[/tex]

Answer:

0.87

Step-by-step explanation:

3 - 0.39 = 2.61

2.61 : 3 = 0.87

To find the cost of one bag of crisps, subtract the change from the amount paid for the biscuits to find the cost of the biscuits in pence, then divide by three since three bags of crisps cost the same as one pack of biscuits. The cost of one bag of crisps is 87 pence.

The student is asking for the cost of one bag of crisps in pence, given that three bags cost the same as one pack of biscuits. Tom paid the shopkeeper £3 for a pack of biscuits and received 39p as change.

First, we calculate the actual cost of the biscuits:

£3 paid - £0.39 change = £2.61 or 261p (since 1 pound equals 100 pence)

Next, we know that this cost is equal to three bags of crisps, so:

261p / 3 bags = 87p per bag

Therefore, the cost of one bag of crisps is 87 pence.

Answer: 226200 ft

Step-by-step explanation:

Length=100 ft

Width=58 ft

Height=78 ft

(78x58x100)/2=226200 ft

I know it sounds crazy, but I'm pretty sure that's the answer.

Answer:

[tex]\large\boxed{V=226,200\ ft^3}[/tex]

Step-by-step explanation:

The formula of a volume of a prism:

[tex]V=BH[/tex]

B - area of a base

H - height

We have the triangle in the Base. The fomula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b - base

h - height

We have b = 58ft and h = 78ft. Substitute:

[tex]B=\dfrac{(58)(78)}{2}=(29)(78)=2,262\ ft^2[/tex]

The volume:

B = 2,262 ft², H = 100 ft. Substitute:

[tex]V=(2,262)(100)=226,200\ ft^3[/tex]

Answer:

For example, the function [tex]y=x^{2}[/tex] does not have a y-intercept of (0, 1). To prove this, let's make x=0, and if the value of 'y' is different from 1, then, the graph does nt have a y-intercept of (0,1):

[tex]y=x^{2}[/tex] ⇒ [tex]y=(0)^{2}[/tex] ⇒ [tex]y=0[/tex]

Therefore, the y-intercept is at (0, 0) not (0, 1).

I would personally choose B.

Answer:

(7, -2.4). (3,8,1) = 9

The vectors are not perpendicular

Step-by-step explanation:

The  inner product between two vectors A = {a, b, c} and B = {d, e, h} is:

[tex]A * B = a * d + b * e + c * h[/tex]

In this case the vectors are (7, -2,4) and (3,8,1). Then the product point is:

[tex](7, -2,4). (3,8,1) = 7 * 3 + (- 2) * 8 + 4 * 1\\\\(7, -2.4). (3,8,1) = 9[/tex]

The dot product between two vectors is equal to zero only if the vectors are perpendicular to each other.

In this case the dot product is nonzero, therefore the vectors are not perpendicular

Answer:

Probably that they are both the same length!

Answer:

they are congruent

Step-by-step explanation:

Answer: 48.6 degrees

Step-by-step explanation:

Here we use the sin(-1) which is opp/ hypt. We get the ratio of 3/4 and put in our calculator .75 sin(-1) and get the output 48.59, which is rounded to 48.6.

The answer is A, A is the answer

The sampling interval would be 20, the correct option is B.

It is a type of sampling technique in which each sample has an equal probability of being chosen.

The total number of residents in the building is 80.

Random sampling is done and the residents are interviewed.

The percentage of the residents that are being interviewed is 25%.

The sampling interval has to be calculated.

The sampling interval is given by = 25 % of 80

= 25 * 80 / 100

= 20

The number of residents that were interviewed is 20.

The sampling interval is 20 people.

To know more about Random Sampling

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Answer:

1/5

Step-by-step explanation:

2/10 chance that a pug would be selected

2/10 is simplified to 1/5

The probability that a randomly selected dog is a pug is 1/5.

Given:

There are 10 dogs at the dog park.

2 dogs are pugs.

We have to find the probability that a randomly selected dog is a pug.

We know, probability is given by:

⇒ Probability = Total number of dogs which are pug / Total number of dogs at the park

⇒ Total number of dogs which are pug = 2

⇒ Total number of dogs at the park = 10

⇒ P(pug) = 2/10

⇒ P(pug) = 1/5

Therefore, the probability that a randomly selected dog is a pug is 1/5.

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Are you asking what the 8 equal parts are ? If so 100/8=12.5

Dividing 100% into 8 equal parts means each part is 12.5% of the whole, showcasing a basic division of percentages.

The question "100% with 8 equal parts" involves dividing a whole into equal portions, which is a fundamental concept in mathematics. When we talk about 100% as being the whole, dividing it into 8 equal parts means we are essentially finding what 1/8th of this whole is, percentage-wise.

To calculate, we understand that 100% divided by 8 equals 12.5%. Therefore, each part of the 8 equal divisions of the whole is 12.5% of that whole. This is a simple percentage division problem and is relevant in understanding fractions, percentages, and their practical implications in everyday scenarios.

Answer:

The mass of the rubber ball is 169.5 g

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for m

m=D*V

In this problem we have

V=113 cm³

D=1.5 g/cm³

substitute

m=1.5*113=169.5 g

[tex] \frac{15}{2} g - 7 = \frac{3}{5} \\ \\ \\ 1. \: \frac{15g}{2} - 7 = \frac{3}{5} \\ 2. \: \frac{15g}{2} = \frac{3}{5} + 7 \\ 3. \: \frac{15g}{2} = \frac{38}{5} \\ 4. \: 15g = \frac{38}{5} \times 2 \\ 5. \: 15g = \frac{76}{5} \\ 6. \: g = \frac{ \frac{76}{5} }{15} \\ 7. \: g = \frac{76}{5 \times 15} \\ 8. \: g = \frac{76}{75} [/tex]

Answer:

A.

C.

D.

Step-by-step explanation:

Answer:

the first, third, and the 4th

Step-by-step explanation:

Answer:

300,000

Step-by-step explanation:

Answer:

300,000 is the nearest **hundred thousand.

Step-by-step explanation:

Read as nearest thousand lol.

Since only 12 balls are small, each color has 25, 22 red balls are large - that leaves 3 red balls that are small. 12 small balls total less the 3 red small balls - that leaves 9 green small balls.

Answer:

12

Step-by-step explanation:

Mary worked for 30 hours. This is calculated by first determining how many lamps Mia assembled, then subtracting this from the total to find out how many lamps Mary assembled. Finally, we divide the number of lamps assembled by Mary by her rate to find out how many hours she worked.

The question requires us to find out how many hours Mary worked if we know that together, Mary and Mia assembled 600 lamps, Mary assembles 10 lamps per hour, Mia assembles 12 lamps per hour, and Mia worked for 25 hours.

First, we can determine how many lamps Mia assembled by multiplying her working hours by her rate, resulting in 300 lamps (12 lamps per hour * 25 hours).

Next, we subtract the number of lamps assembled by Mia from the total to find how many lamps Mary assembled, resulting in 300 lamps (600 lamps total - 300 lamps assembled by Mia).

Finally, we can calculate how many hours Mary worked by dividing the number of lamps she assembled by her rate, resulting in 30 hours (300 lamps / 10 lamps per hour).

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Answer:

9

Step-by-step explanation:

shorter leg = x

longer leg = x + 3

Hypotenuse = x + 6

x² + (x + 3)² = (x + 6)²

x² + x² + 6x + 9 = x² + 12x + 36

2x² + 6x + 9 = x² + 12x + 36

x²  - 6x  - 27 = 0

(x - 9) ( x + 3) = 0

x = 9 or x = -3 (rejected)

The length of the shorter leg of the right angles triangle is 9.

What is a right-angle triangle?

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. The right triangle or 90-degree triangle is another name for this triangle.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse

The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that in a right triangle,  [tex]h^{2} = x^{2} + y^{2}[/tex];

where, h = hypotenuse; x = perpendicular side; y = base side;

Given that:

shorter leg = x

longer leg = x + 3

Hypotenuse = x + 6

⇒x² + (x + 3)² = (x + 6)²

⇒x² + x² + 6x + 9 = x² + 12x + 36

⇒2x² + 6x + 9 = x² + 12x + 36

⇒x²  - 6x  - 27 = 0

⇒(x - 9) ( x + 3) = 0

⇒x = 9 or x = -3.

x=-3 is not possible;

Hence, The length of the shorter leg = 9.

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Answer:

The center of the circle is point (8 , 6)

Step-by-step explanation:

* At first lets revise how to find the mid-point between two points

- If (x1 , y1) and (x2 , y2) are the end point of a segment

- If (x , y) is the mid-point of this segment

- To find  x add x1 and x2, then divide the answer by 2

∴ x = (x1 + x2)/2

- Similar to find y add y1 and y2, then divide the answer by 2

∴ y = (y1 + y2)/2

∴ The mid-point (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

* Now lets solve the problem

- The center of the circle is the mid-point of the diameter

- Consider the center of the circle is (x , y)

- (x , y) is the mid-point of the diameter of the circle with endpoints

 (4 , 9) and (12 , 3)

- Let (4 , 9) is (x1 , y1) and (12 , 3) is (x2 , y2)

∵ x1 = 4

∵ x2 = 12

∵ x = (x1 + x2)/2

∴ x = (4 + 12)/2 = 16/2 = 8

* Similar

∵ y1 = 9

∵ y2 = 3

∵ y = (y1 + y2)/2

∴ y = (9 + 3)/2 = 12/2 = 6

∴ (x , y) = (8 , 6)

* The center of the circle is point (8 , 6)

Answer:

The center is (8,6) and radius is 5 units of the wheel

Step-by-step explanation:

On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3)

End point of diameter is (4 9) and (12,3)

As we know mid point of diameter is center of circle.

Mid point formula:

[tex](x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Mid point of  (4 9) and (12,3)

[tex]Centre: (\dfrac{4+12}{2},\dfrac{9+3}{2}[/tex]

Center: (8,6)

Radius is distance between center and any one end point of diameter.

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]R=\sqrt{(8-4)^2+(6-9)^2[/tex]

[tex]R=\sqrt{16+9}=\sqrt{25}[/tex]

Radius = 5

Hence, The center is (8,6) and radius is 5 units of the wheel

Answer:

Hi! Next time attach all possible answers in media form. Check attachment for the answer. Please mark brainliest I'm trying to get to next rank, have a good day. Message me if you ever need more help.