Consider this function. f ⁡ ( x ) = 1 /2 ⁢ x + 1 /4 Which graph represents the inverse of function f? Which graph represents the inverse of function f?

Answer:

1) c = 25m + 90

2) c = 17m; $85

3) c = 10m + 15; $135

Step-by-step explanation:

Let m = number of months

1)

c = 25m + 90

2)

c = 17m

For 5 months, m = 5.

c = 17m = 17 × 5 = 85

$85

3)

c = 10m + 15

1 year = 12 months, so m = 12

c = 10m + 15 = 10 × 12 + 15 = 120 + 15 = 135

$135

The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.

The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.

This is known to be the biggest British passenger liner that was said to have  sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.

Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.

The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.

So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)

Therefore, 52,310 tons

= 52,310 × 0.99109 m³

≈ 51843.918 m³

Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.

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I think it is 2, 0, 4 but it would be very helpful if you put in an image of the graph.

Have a great day :D

Based on the sequence of numbers given, the number that is represented by the question mark is 2679 = 2.

The sequence requires that you count the number of circles that a group of number has. For instance 9 has one circle and 8 has two circles because of the way they are drawn.

The numbers 111, 3213, and 1234 will therefore be equal to 0 because there is no number that has a circle in it.

The number 8096 however, will be equal to 5 because there are 5 circles. Two in 8. 1 in 0. 1 in 9. 1 in 6.

This means that the last number of 2679 will therefore be equal to 2 because there are two circles. One circle is in 6, and the other circle is in  9.

In conclusion, the number represented by the question mark is 2.

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Answer:  1.3125 gallons

Step-by-step explanation: The machine pumps 2.1 gallons of water every 1.6 minutes. 1.6 minutes is 1.6x more than 1 minute. So, we have to divide 1.6 by 1.6. Next, we have to divide 2.1 by 1.6. We can make this a bit easier by multiplying both of them by 10 to get 21/16 which is 1.3125.

Answer:

1.3125 gallons

Step-by-step explanation:

Using the given information, we can set up a proportion;

[tex]\frac{2.1gallons}{1.6minutes} = \frac{xgallons}{1minute}[/tex]

Now, we can cross multiply to solve for x.

2.1 = 1.6x
x = 1.3125 gallons

Answer:

x = -1, x = -2 , x= 2

Step-by-step explanation:

First we factorise this cubic function :

(x+1)(x+2)(x-2) = 0

Using the law a×b×0 = 0

We know that to find the zeros we have to set each bracket equal to 0 :

x+1 = 0    OR   x+2 = 0    OR   x-2 = 0  

x = -1                x = -2               x = 2

Hope this helped and have a good day

Answer:

The y-intercept is (0, 0).

Step-by-step explanation:

The y-intercept is where the line passes through the y-axis.

Please see attachment.

Hope this helps!

19) The sum of the arithmetic series is - 397. (Correct choice: E)

33) The sum of the geometric series is 1700. (Correct choice: E)

19) Arithmetic series are sets of elements generated by a linear expression of the form:

aₙ = a₁ + (n - 1) · d      (1)

Where:

If we know that a₁ = 27, n = 20 and d = - 5, then sum of the first 20 terms of the series is:

x = 27 + 22 + 17 + 12 + 7 + 2 + (- 3) + (- 8) + (- 13) + (- 18) + (- 23) + (- 28) + (- 33) + (- 38) + (- 43) + (- 48) + (- 53) + (- 58) + (- 63) + (- 68)

x = - 397

The sum of the arithmetic series is - 397. (Correct choice: E)

33) Geometric series are sets of elements generated by a exponential expression of the form:

aₙ = a₁ · rⁿ     (2)

Where:

If we know that a₁ = 1458 and r = 1 / 3, then the sum of the first 6 terms of the geometric series is:

x = 1458 + 162 + 54 + 18 + 6 + 2

x = 1700

The sum of the geometric series is 1700. (Correct choice: E)

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The number line which represents the solution bro the inequality y -2 < -5 is;

An open circle is at negative 3. Everything to the left of the circle is shaded.

First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.

Solving the inequality is as follows;

y - 2 < -5

y < -5 +2

y < -3.

In essence, representation of the inequality, y < -3 on the number line is as follows;

An open circle is at negative 3. Everything to the left of the circle is shaded.

PS: It is only a closed circle if the inequality includes an equal to sign.

Answer:

  (0, -2)

Step-by-step explanation:

The solution to a system of equations is the point on the graph where the lines intersect.

Here, both lines have a y-intercept of -2, so intersect there. The solution is ...

  (x, y) = (0, -2)

The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

For given question,

We need to find the critical values for a 2-tailed sign test for 13-coin flips.

We have been given an alpha level of 0.05 that is 5%

⇒ α = 0.05

We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.

The critical values are assumed to be at least as extreme at those critical values.

Now we find 1 - α

⇒ 1 - α = 1 - 0.05

⇒ 1 - α = 0.95

Because it is a two-tailed test, we are going to divide 0.95 by 2.

⇒ 0.95/2 = 0.475

Now we look in the z-table to find out cutoff points.

For the area of 0.475, the critical values is ± 1.96 .

Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

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The largest pyramid's surface area is roughly 159.31 [tex]ft^2[/tex].

A hexagonal pyramid is one that has six isosceles triangles that meet at a point, each of which is supported by a hexagonal foundation. It is self-dual, just as any pyramid. It possesses C6v symmetry when the base of a right hexagonal pyramid is a regular hexagon.

A pyramid is a solid,

Additionally, the ratio of two solids' surfaces when they are comparable is equal to the square of the similarity scale factor.

The similarity scale factor in this instance

                 = (Hight of the larger pyramid)/(Height of smaller pyramid)

                  =15/6

Due to the aforementioned characteristic,

                  = (15/6)^2

Given that the smaller pyramid's surface area is 25.49 [tex]ft^2[/tex],

(The surface of larger pyramid)/(25.49) = 225/36

The surface of larger pyramid = (25.49*225)/36

                                                   = 5735.25/36

                                                   =  159.3125 ft^2      

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Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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The sample at option B, {0, 2} is not a part of the sample space of a spinner when spun two times.

The set consists of all the possible outcomes of an event called sample points, which is said to be a sample space.

It is given that,

a spinner has 5 sections of equal area and each section is numbered from 1 to 5.

If the spinner is spun two times, then the possible outcomes are 25. They are:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)}

So, from the given options, the sample {0, 2} is not possible since there is no such a section on the spinner named 0.

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The equation of the hyperbola on which the ship is positioned is x²/2025-y²/4375=1

Given that radio stations, A and B are 160 kilometers apart and the signal from B arrives 0.0003 seconds before the signal from A and the signal travels 300,000 kilometers per second.

The distance between radio station A and B are d=160 km.

The time is t=0.0003s.

The speed of the signal travel is v=300000 km/s.

Consider both radio stations A and B lie at foci on the x-axis.

The origin lies at the midpoint between the stations.

The distance of one of the stations from the origin is,

c=d/2

c=160km/2

c=80km

The centre of the hyperbola lies at (0,0), so both stations lie at coordinates points of (-80,0) and (80,0).

The expression for the difference in distance is,

I=vt

I=300000×0.0003

I=90km

The semi-major axis of the hyperbola is,

a=I/2

a=90km/2

a=45km

The expression for the semi-minor axis of the hyperbola is,

b²=c²-a²

b²=(80)²-(45)²

b²=6400-2025

b²=4375

The expression for the hyperbola on which the ship is positioned,

x²/a²-y²/b²=1

x²/(45)²-y²/4375=1

x²/2025-y²/4375=1

Hence, the equation of hyperbola on which the ship is positioned for radio stations, A and B are 160 kilometers apart and signal from B arrives 0.0003 seconds before the signal from A is x²/2025-y²/4375=1.

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Answer:

y-6= -5/3(x+2)

Step-by-step explanation:

the general way to write it is y-y1 = m(x-x1), so i plugged in the values

y1 = 6, x1 = -2

m = (y2-y1)/(x2-x1) = -5/3

Answer:

x = 15

The area is 175 [tex]meters^{2}[/tex]

Cost of weeding is $42

Step-by-step explanation:

The perimeter includes two lengths and two widths, so the equation for x would be

2(2x +5) + 2(x -10) = 80  Distribute the 2's

4x + 10 + 2x -20 = 80  Combine the like terms

6x -10 = 80  Add 10 to both sides

6x = 90  Divide both sides by 6

x = 15

Area is length times width.  We need to find the length and width.

2x + 5

2(15) + 5

30 + 5

35 is the width

x -10

15-10

5 is the length

A = (l)(w)

A = (35)(5)

A = 175  The area is 175

The cost of weeding is 175 x .24 = 42

Answer:The number of pennies on square 64 is greater than the pennies on 63 squares  since 64 is already greater 63 that when 63 gets bigger 64 will also get bigger so it will always be greater than 63

Step-by-step explanation:

Answer:

Step-by-step explanation:

greater than

Answer: 144

Step-by-step explanation:

The length of DF is 16.

The horizontal distance from DF to E is 18.

So, the area is [tex]\frac{1}{2}(16)(18)=144[/tex]

The area of the triangle DEF is approximately equal to 144.014 square units.

Triangles can be generated on a Cartesian plane by marking three non-colinear points on there. Heron's formula offers the possibility of calculating the area of a triangle by only using the lengths of its three sides, whose formula is now introduced:

A = √ [s · (s - DE) · (s - EF) · (s - DF)]     (1)

s = (DE + EF + DF) / 2     (2)

Where s is the semiperimeter of the triangle.

First, we determine the lengths of the sides DE, EF and DF by Pythagorean theorem:

Side DE

DE = √ [[10 - (- 8)]² + (- 2 - 8)²]

DE ≈ 20.591

Side EF

EF = √ [(- 8 - 10)² + [- 8 - (- 2)]²]

EF ≈ 18.974

Side DF

DF = √[[- 8 - (- 8)]² + (- 8 - 8)²]

DF = 16

Then, the area of the triangle DEF is by Heron's formula:

s = (16 + 18.974 + 20.591) / 2

s = 27.783

A = √[27.783 · (27.783 - 20.591) · (27.783 - 18.974) · (27.783 - 16)]

A ≈ 144.014

The area of the triangle DEF is approximately equal to 144.014 square units.

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The distance between the bird (B) and plane (P) exists at 10,779 feet.

Given the figure attached,

PT = OB = 7000 ft

PB = OT = x feet

and angle of elevation (∠POT) = 30°

By applying the Tan rule in the triangle POT,

tan 33° = Opposite side/Adjacent side = PT/OT

tan 33° = 7000/x

x = 7000/tan33°

x = 10779 feet

The distance between the bird (B) and plane (P) exists at 10,779 feet.

Therefore, the correct answer is option D. 10779 feet.

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Answer:

s - c over c = m   or  (s-c)/c = m

Step-by-step explanation:

s = c * mc

s -c = mc

(s - c) / c = m

Answer:

A ) m=s-c/c

Step-by-step explanation:

Answer:

m=-3/7

Step-by-step explanation:

m=rise/run=Δy/Δx

m=y2−y1/x2−x1

m=10−7/−4−3

m=3/−7

m=−3/7

The product of [tex](x - 8)^2[/tex] is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.

The equations developed with variables, exponents, and coefficients exists named polynomial equations. It can include various exponents, where the higher one stands named the degree of the equation.

Closure property under multiplication notes that any two rational numbers' outcome will be a rational number, i.e. if a and b exist in any two rational numbers, ab will also be a rational number.

Example: (3/2) × (2/9) = 1/3.

The product of [tex]$(x - 8)^2[/tex]

Simplifying the equation as (x − 8)(x − 8)

Apply Perfect Square Formula, and we get

[tex]$(a-b)^{2}=a^{2}-2 a b+b^{2}$[/tex]

[tex]$&(x-8)^{2}=x^{2}-2 x \cdot 8+8^{2} \\[/tex]

[tex]$&=x^{2}-2 x \cdot 8+8^{2}[/tex]

Simplifying the above equation, we get

[tex]$x^{2}-2 x \cdot 8+8^{2}=x^{2}-16 x+64 \\[/tex]

[tex]$&=x^{2}-16 x+64[/tex]

This is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.

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Given same lengths and slopes of the opposite sides and nature of the angle between adjacent sides, we have;

The given points are;

L(-5, 4), M(2, 2), N(0, -3), S(-7, -1)

Lengths of the sides are;

Length of LM = √((2-(-5))²+(2-4)²) ≈ √(53)

Length of MN = √((2-0)²+(2-(-3))²) ≈ √(29)

Length of NS = √((0-(-7))²+((-3)-(-1))²) ≈ √(53)

Length of LS = √(((-7)-(-5))²+((-1)-4)²) ≈ √(29)

Therefore;

Slope of LM = (2-4)/(2-(-5)) = -2/7

Slope of MN = (2-(-3))/(0-2) = 5/2

Slope of NS = ((-3)-(-1))/(0-(-7)) = -2/7

Slope of LS = ((-1)-4)/(-7-(-5)) = 5/2

Therefore;

The quadrilateral created by the points L(-5, 4), M(2, 2), N(0, -3), S(-7, -1) is therefore;

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Answer:

$0.34 per ounce

Step-by-step explanation:

A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.

5 × 16 is 80 ounces.

There are 80 ounces in 5lbs.

To get a price per ounces, divide.

dollars/ounces

= 27.20/80

= 0.34 dollars/oz.

This is 34cents per ounce.

Answer:

no

Step-by-step explanation: