Mathematics College

please hel me.
i need help i don't know how to do this

Answers

Answer 1

The tables with their equations are

Table (a): y = 1/xTable (b): y = √xTable (c): y = x³Table (d): y = x

How to match the tables with their equations

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

Tables and equations

Table (a)

Here, we notice that:

The output is the reciprocal of the input

This is represented as

y = 1/x

Table (b)

Here, we notice that:

The output is the square root of the input

This is represented as

y = √x

Table (c)

Here, we notice that:

The output is the cube of the input

This is represented as

y = x³

Table (d)

Here, we notice that:

The output is the same as the input

This is represented as

y = x

Related Questions

Stats Determine the y-intercept and slope from the equation: y = 5.8 +2.5x

Answers

The slope is 2.5

The y-intercept is 5.8.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = 5.8 + 2.5x

This is in the form of y = mx + c

So,

m = 2.5

And,

The y-intercept is when x = 0.

So,

y = 5.8 + 2.5x

Substitute x = 0,

y = 5.8

Thus,

Slope is 2.5

The y-intercept is 5.8.

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The height of two buildings is 34 m and 29 m respectively. If the distance between the two buildings is 12 m, find the distance between their tops.

Answers

Answer: To find the distance between the tops of two buildings, we first need to find the horizontal distance between the two buildings. This distance can be found using the Pythagorean theorem.

Let's call the horizontal distance between the two buildings "d".

d^2 = 12^2 + (34 - 29)^2

d^2 = 144 + 25

d^2 = 169

d = 13

So, the horizontal distance between the two buildings is 13 meters.

To find the distance between their tops, we simply add the height of each building:

distance = 34 + 29 = 63 meters

So, the distance between the tops of the two buildings is 63 meters.

Step-by-step explanation:

*Please help, I will mark brainest*
A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 532,000 gallons. Tank card with three different carrying capacities are available: 7,000 gallons, 14,000 and 28,000. How many of each type of tank car should be leased?

Fill in the blank: There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x1=_t+(_), x2=_t+(_) & x3=t

Answers

Answer:

Let's call the number of 7,000 gallon tank cars "x1", the number of 14,000 gallon tank cars "x2", and the number of 28,000 gallon tank cars "x3".

We can write the following constraints based on the total carrying capacity of the fleet:

7,000x1 + 14,000x2 + 28,000x3 = 532,000

x1 + x2 + x3 = 25

x1, x2, x3 >= 0 (since we can't have a negative number of tank cars)

This is a linear programming problem, which can be solved using simplex method or the graphical method.

By using the graphical method, we find that there are multiple optimal solutions. For example, one solution is x1 = 11, x2 = 7, and x3 = 7. This means that the manufacturer should lease 11 7,000 gallon tank cars, 7 14,000 gallon tank cars, and 7 28,000 gallon tank cars to meet the total carrying capacity requirement of 532,000 gallons.

So, the answer to the question is: There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x1 = 11 + 7t, x2 = 7 + 7t, and x3 = 7 + 7t.

Provide evidence of how you manage your staff to manage complain

Answers

One way to manage your staff to manage complaints would be to establish clear procedures for handling complaints and regularly train staff on these procedures.

How to manage staff complaints ?

Establishing clear procedures for handling complaints and training staff helps to ensure that all complaints are handled consistently and effectively, reducing the potential for misunderstandings or conflicts to arise.

Additionally, creating an open-door policy for staff to voice their concerns and providing regular opportunities for feedback can help to identify and address issues before they escalate into complaints. Regular communication and coaching can also help to build strong working relationships and foster a positive workplace culture, reducing the likelihood of complaints in the first place.

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A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct order and no number can be used more than once. What is the probability that someone could guess the correct code?

Answers

Answer:

Step-by-step explanation:

The probability that someone could guess the correct code for the car model with a keypad of 5 numbers is 1 in 120,000, or approximately 0.0000083.

To calculate this, we need to determine the total number of possible combinations of 5 numbers (without repetition) from a set of 5 numbers. This can be calculated as 5!/(5-5)! = 5! = 5x4x3x2x1 = 120.

So, the probability of guessing the correct code is 1/120 or 0.0000083. This means that the chances of guessing the correct code are very low and the car's security system is fairly secure.

j is the midpoint of HI and GH. complete the proof that GHJ ≅ GIJ

Answers

4. Reflexive property

5. SSS

Find the value of 15 - 8-2.
3.5
04
11

Answers

Answer:

Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0) which is not in the given options, so none of them are the correct answer.

Please help with this question I can’t seem to solve it

Answers

Answer:

X Y

0 0

2 -3

Step-by-step explanation:

The slope should look like this photo.

Plot the points (-7,5),(-4,-6),(-1,4),(-7,3) in the Cartesian plane. Is the following relation a function? Why?

Answers

The graph of the points can be seen at the end, and the relation is not a function.

How to graph the points on a coordinate axis?

The coordinate axis has two axis with numbers labeled. For any point (x, y), you need to find the value x on the horizontal axis and the value y on the vertical axis.

Then the graph of the points (-7,5), (-4,-6), (-1,4), (-7,3) will be like the one at the end of the answer.

Now, is this a function?

Not, it is not, because we can see that the input -7 is being mapped into two different outputs, and a relation is a function only if each input is mapped into a single output.

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Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a
lower class limit of 0.720 in., and use a class width of 0.010 in. The screws were labeled as having a length of 3/4 in.
Click on icon to view the data

Answers

Following is the frequency distribution table:

0.720- 0.730

0.730- 0.740

0.740- 0.750

What is Frequency Table?

Any table that shows the frequency of values for one or more variables within a set of data. a table displaying each value of the variable and its accompanying frequency for a whole-number variable in a data set.

Given:

The lower limit is given as 0.720 inches.

and, The upper limit is 0.750 inches.

Also, the width of each class is 0.010 inches.

Thus, the intervals will be:

0.720- 0.730

0.730- 0.740

0.740- 0.750

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In a fair out of 5 people 2 are men and 2 are women and the remaining are children there are 2500 people at the fair. what percentage of people are adult?

Answers

Answer:

Step-by-step explanation:

4 out of the 5 people are adults (since 2 women and 2 men) therefore 80% of people are adults.

Answer:

80%

Step-by-step explanation:

Its either too easy or too hard. 2+2=4 obviously, and 4/5=8/10. 8/10, 0.80, or 80% is the answer. If I got this right I don't know how lol.

Show that ∶ [– 1, 1] → ℝ, given by () =
(2+)
is one-one. Find the inverse of the function
∶ [– 1, 1] → Range . (Hint: For ∈ Range , = () =
(2+)
, for some in [– 1, 1], i.e., =

(2+)

Answers

The inverse of the given function is f(x) = 2x/(1 - x)

What is a function?

A function in mathematics from a set X to a set Y assigns 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 codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given function is

f(x) = x/(2+x)

Assume that y = f(x) = x/(2+x)

Solve y = x/(2+x) for x:

y = x/(2+x)

Multiply (2+x) on both sides:

y(2+x) = x

2y + xy = x

Subtract xy from both sides:

2y = x - xy

2y = x(1 - y)

x = 2y/ (1 - y)

Now replace x with y and y with x:

y = 2x/(1 - x)

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You place one grain of rice on the first square of a chess board. You then put two on the second,
four on the third, eight on the fourth, and so on until you've reached the sixty-fourth square.
If Scrooge McDuck bought five-pound bags of enriched white rice from Walmart, could he afford
to buy all the rice needed for the previous paragraph?

Answers

Answer:

yes

Step-by-step explanation:

Maybe how to solve is 8*8=64. and 2 1/2 in one pound of rice so 2 1/2 * 5 equals the total amount of rice you get. Equals 12.50.

On a level field a telephone pole 24 feet tall casts a shadow 6 feet long. At the same time of day, another nearby telephone pole casts a shadow 18 feel long. How many feet tall is the second telephone pole?.

Answers

The second telephone pole is 72 feet tall. Since the ratio of the height of the first telephone pole to the length of its shadow is 24/6 = 4.

We can use this ratio to find the height of the second telephone pole.

If the second telephone pole casts a shadow of 18 feet at the same time of day, we can set up the following proportion:

height of second pole / length of shadow of second pole = height of first pole / length of shadow of first pole

Letting x be the height of the second pole, we can plug in the values we know and solve for x:

x / 18 = 24 / 6

Multiplying both sides by 18, we get:

x = 72

Therefore, the second telephone pole is 72 feet tall.

The answer is (e) 72.

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Complete question:

a. 6

b. 12

c. 24

d. 36

e. 72

Determine the domain and range of the given
function.
The domain is
The range is

Answers

domain = all real numbers

range = y > -2

y=x²-2

range is y is -2

domain is x is

These two triangles are congruent.

b

B

6 cm

1049

12 cm

9 cm

A

47°

'R

29°

29°

12 cm

с

P

a)

What is the size of angle Q?

Answers

Since the triangles are congruent. Then The size of angle Q is 47°

Congruent Angle:

Congruent angles are often used in architecture, construction, design, and art. Isometrics have the same angular measurements. For example, a regular pentagon has 5 sides and 5 angles, each measuring 108 degrees. Regardless of the size or scale of a regular polygon, the angles are always congruent.

Here is a list of rules for the congruence of angles.

1. The only condition for two angles to be congruent is if the measurements of the angles agree.

2. The lengths and orientations of the two sides of this congruent angle are not important.

According to the Question:

It is given that :

B = 6 cm, 12 cm and 9 cm

A = 47°

R' = 29°

If the triangle is congruent, then all the three sides and angles will be same.

Therefore,

Angle Q = Angle A

Therefore, Angle Q = 47°

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Find EF, please!!!!!!!!!!

Answers

Answer:

EF = 7

Step-by-step explanation:

You want to know the length of midsegment EF in the triangle with it labeled 43-4x and the parallel base segment labeled 32-2x.

Midsegment

The midsegment is half the length of the base segment, so we have ...

(43 -4x) = 1/2(32 -2x)

43 -4x = 16 -x . . . . . simplify

27 = 3x . . . . . . . . add 4x-16

9 = x . . . . . . . . divide by 3

EF = 43 -4x = 43 -4(9) = 43 -36

EF = 7

Margaux pays $19 for postage. What is the mass of her parcel?

Answers

To find the mass of her parcel, you must solve the equation for the input when the output is of 19.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

For this problem, we have that the numeric value is of $19, hence the equation must be solved for the input variable to find the mass of the parcel.

Missing Information

The problem is incomplete, hence the general procedure to solve it was presented.

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Area of composite shapes, There is a pair of parallel sides in the following shape.
What is the area of the shape?

Answers

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

What does mathematicians mean by area?

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

= 1/2 * 14 * 3

= 1/2 * 42

= 21 cm²

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Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 9 cm and the height is 26.5 cm. Find the volume of the candle. Round your answer to the nearest whole number. Do not type the units in the space below. (Be sure to use the pi button on your calculator to do the calculation.)

Answers

The volume of the candle is 6740 cubic cm

How to find the volume of the candle.

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

Radius, r = 9 cm

Height, h = 26.5 cm

The volume of a cylinder is calculated as

Volume = πr²h

substitute the known values in the above equation, so, we have the following representation

Volume = 3.14 * 9² * 26.5

Evaluate the products and exponents

Volume = 6740 cubic cm

HEnce, the volume is 6740 cubic cm

Answers

C - this equation is simplified to a numeric identity. the variable has infinite solutions.

8k - 14 = -4k + 10 + 12(k - 2) --> use distributive property

8k - 14 = -4k + 10 + 12k -24 --> combine like terms

8k - 14 = 8k -14 --> combine like to each side

8k - 8k = -14 + 14 --> simplify

0 = 0

note, the variable cancels out, therefore there is no identity and ANY numeroc value can be used, as ant value will cancel itself out.

this means there is an infinite numbers of solutions.

Given: log a 2 = 4, log a 3 = 5, log a 5 = 8. Find log a 60.
A. 2.9
B. 1.46
C. .32
D. 2.1

Answers

The solution of the logarithm expression logₐ 60 is 2.1. Therefore, the answer is D.

How to solve logarithm?

The logarithm expression can be solved as follows; Using the logarithm rule,

Law of multiplication of logarithm,

logₐ x + logₐ y = logₐ xy

Therefore,

logₐ 2 = 4

logₐ 3 = 5

logₐ 5 = 8

Hence, let's find logₐ 60.

logₐ 5 + logₐ 3 + logₐ 2 + logₐ 2 = logₐ (5 × 3 × 2 × 2) = logₐ 60

Hence,

0.8 + 0.5 + 0.4 + 0.4 = 2.1

Therefore,

logₐ 60 = 2.1

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The value of log a 60 is 21. The correct option is D.

What is a Logarithm?

Logarithms are another way of writing exponents.

Logarithm is nothing but another way of expressing exponents and can be used to solve problems that cannot be solved using the concept of exponents only.

log a 60 = log a (12 x 5)

log a 60 = log a 12 x log a 5

log a 60 = log a (4 x 3) x log a 5

log a 60 = log a 4 x log a 3 x log a 5

log a 60 = 2 log a 2 x log a 3 x log a 5

Substituting the values for the logs

log a 60 = 2 (4) + 5 + 8

log a 60 = 21

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NEED HELP ASAP!!!!
Task EXPONENTIAL GROWTH AND DECAY
Question 1 Part A:
A consulting company wants to track the results of its new
marketing plan. The media manager recorded the number of views Weeks, x
for one of the company's online videos. The results from the first 4
weeks are shown in this table.
0
Write an equation to model the relationship between the number of weeks,
x, and the number of views, f(x).
Double click and enter the correct answer in the box by replacing the values
of a and b.
<||►
-f(x) = a(b)*
I
1
2
3
4
Views, f(x)
2,160
3,240
4,860
7,290
10,935. Question 1 Part B:
During this same time, the website manager tracked the number of visits to the website's homepage.
She found that before launching the new marketing plan, there were 6,400 visits.
Over the course of the next 4 weeks, the number of site visits increased by a factor of 1.25 each week.
Write an equation to model the relationship between the number of weeks, x, and the number
of site visits, f(x).
Double click and enter the correct answer in the box by replacing the values of a and b.
f(x) = a(b)*.
Question 1 Part C
During their team meeting both managers shared their findings. Complete the statement describing their combined results.
Double click and highlight the correct answers
• the initial number of video views was - fewer than, the same as, more than- the initial number of site visits
• The number of website visits grew by a - smaller factor than, larger factor than, the same factor as- the number of video views.
• The difference between the total number of website visits and video views after 4 weeks is - 10,935, 4,690, 8,726, 15,625

Answers

f(x) = a(b)*.

Question 1 Part C

During their team meeting both managers shared their findings. Complete the statement describing their combined results.

Double click and highlight the correct answers

• the initial number of video views was - fewer than, the same as, more than- the initial number of site visits

• The number of website visits grew by a - smaller factor than, larger factor than, the same factor as- the number of video views.

• The difference between the total number of website visits and video views after 4 weeks is - 10,935, 4,690, 8,726, 15,625

Answer:

10,935, 4,690, 8,726, 15,625

Step-by-step explanation:

Help me find the area of the regular polygon!!

Answers

The area of the polygon is 6x√3 / 3 units².

How to find the area of a polygon?

The polygon above is a triangle. The polygon has three sides. Therefore, the area of the polygon can be calculated as follows:

area of the polygon = 1 / 2 pa

where

a = apothemp = perimeter of the polygon

Therefore, the perimeter of the polygon is the sum of the whole sides. The sides of the polygon is the same. Hence, the perimeter is 3x.

where

x = side of the polygon

area of the polygon = 1 / 2 × 3x × 4√3 / 3

Hence,

area of the polygon = 3 / 2 x × 4√3 / 3

area of the polygon = 6x√3 / 3 units²

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Solve x - 5 = 8 - 4x

Answers

Answer:

Step-by-step explanation:

x - 5 = 8 - 4x

rearrange

x - 5 = -4x + 8

x + 4x - 5 = -4x + 4x + 8

5x - 5 = 8

5x - 5 + 5 = 8 + 5

5x = 13

Divide by 5

5x/5 = 13/5

x = 13/5 or 2 [tex]\frac{3}{5}[/tex]

or 2.6 as a decimal

Simplify imporper fractions as mixed number 14 1/4 -10 3/7 =

Answers

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

What is Fraction?

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

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All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!

Answers

In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:

{x | -8 <= x < 17}

Explanation of set builder notation?

A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | }, where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.

In this case,

the set comprises of all figures higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint

-8 <= x < 17,where x is a real value. This predicts that x must exceed or equal to -8 and must be less than 17 to be a part of the set.

Thus, in set builder form, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows: {x | -8 <= x < 17}

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The ratio of boys to girls at the park is 4 to 5. How many boys are at the park if there are 45 girls at the park.
Responses
A 30
B 36
C 42
D 48

Answers

Answer: Given the ratio of boys to girls at the park is 4 to 5, then there are 4 boys for every 5 girls. If there are 45 girls at the park, then there are 4 * 45 / 5 = 36 boys at the park.

So, the answer is B) 36.

Step-by-step explanation:

Find the magnitude and vector
-22.2m
12.6m

Answers

The magnitude of the vector is 25.5 metres.

How to find magnitude of a vector?

The magnitude of a vector is the length of the vector. Therefore, the magnitude of a vector can be found using Pythagoras's theorem as follows:

Hence,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Therefore,

| N | = √22.2² + 12.6²

| N | = √492.84 + 158.76

| N | = √651.6

| N | = 25.5264568634

| N | = 25.5 metres

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In 2015, there were about 22 million teenagers (aged 13–17) in the United States. They each sent an average of 800 text messages per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.

Answers

The number of text messages all of the teenagers in the United States send each month is 17600 million.

What are integers?

In mathematics, an integer is a grouping comprising both positive and negative numbers. Integers are similar to whole numbers in that they do not include the fractional portion. Integers are thus numbers that can be positive, negative, or zero but not fractions. All mathematical operations, including addition, subtraction, multiplication, and division, can be carried out on integers.

Given that,

Number of teenagers = 22 million

Text sent on average = 800

Total messages sent = (22)(800) = 17600 million

Hence, the number of text messages all of the teenagers in the United States send each month is 17600 million.

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Other Questions

please hel me. i need help i don't know how to do this

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please hel me.
i need help i don't know how to do this