Find the measure of 4

Answer:

9

Step-by-step explanation:

For the function g(x) = x^2 - 1, we can calculate the function values at x=3 and x=6, and then find the difference and divide by the length of the interval (6 - 3).

g(3) = 3^2 - 1 = 9 - 1 = 8

g(6) = 6^2 - 1 = 36 - 1 = 35

The difference in function values is g(6) - g(3) = 35 - 8 = 27.

The length of the interval is 6 - 3 = 3.

So, the average rate of change of g(x) from x=3 to x=6 is 27 / 3 = 9.

Answer:

The slower ship is going 240 mph

The faster ship is going 260 mph

Step-by-step explanation:

midnight to 8 am is 8 hours, the distance shortened between the ships each hour was 500 miles so if the slower ship's speed is x and the faster ship's speed is y:

x + y = 500

and the question tells us that

x + 20 = y

Using the substitution method we can substitute the y in the first question for the second's.

x + (x + 20) = 500

solve:

x + x + 20 = 500

2x + 20 = 500

2x + 20 - 20 = 500 - 20

2x = 480

(2x) / 2 = 480 / 2

x = 240

Now that we have x we can now substitute the x into the second equation

(240) + 20 = y

260 = y

y = 260

And after adding the unit of measurement (Miles Per Hour) we get the speed of the slower ship (x) to be 240 MPH, and the speed of the faster ship (y) to be 260 MPH.

Answer:

y=8x+4

Step-by-step explanation:

follow the formula y=mx+b where m is the slope and b is the y intercept

first find the slope, which is the rate of change, using the equation (y2-y1)/(x2-x1). i substituted the values from x=0 as (0,4) for the first coordinate and x=1 as (1,12) for the second coordinate from the chart and filled them into the equation:

so (12-4)/(1-0)=8/1= 8

so the slope is 8

and the y intercept is the y value when x=0, which can be seen on the chart as 4. so y=8x+4

Answer:

The slope of the graph is 8

Step-by-step explanation:

For a function to have a slope or gradient, it must be represented in this format as y= mx+c.

Where in this case 8 is m, y is said to be f(x) and c is -11

Answer:

no fred is not correct

Step-by-step explanation:

so u say

5/8×6/1

then u say 5×6=30

then u say 8×1=8

then u say 30÷8= 3.75

so yr answer is =3.75

hope u understand

Answer:

in the image below i believe

Step-by-step explanation:

I will describe the original unrotated shape's coordinates. The top point is L, middle point is M, bottom point is N. The origin is where the axis meet. 180 degrees means to rotate the shape using the origin until it's upside down. The new shape is the one with the arrow pointing towards it. L is (1,-5). M is (2, -4). N is (1,0)

The number of cubic inches of sand that this sandbox would hold is 186,624 cubic inches.

The volume of the toy box is equal to 32 1/2 cubic feet.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

Volume of sandbox = 96 × 72 × 27

Volume of sandbox = 186,624 cubic inches.

Mathematically, the volume of a triangular prism can be calculated by using this formula:

Volume = base area × height of the prism.

Volume = 6 1/2 × 5.

Volume = 13/2 × 5.

Volume = 32 1/2 cubic feet.

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394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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By answering the presented question, we may conclude that Therefore, the volume of the rectangular solid is 6 cubic units.

In geometry, a coordinate system is a method that uses one or more numbers or coordinates to determine the precise location of points or other geometrical objects on a manifold, such as Euclidean space. Coordinates are pairs of numbers used to locate a point or object on a two-dimensional plane. T

he x and y coordinates of a point on a 2D plane are two numbers that define its location. a set of digits that represent precise locations. In most cases, the figure has two numbers. The first number represents the front-to-back distance, while the second number represents the top-to-bottom distance. As in (12.5), there are 12 units below and 5 units above.

The rectangular solid in the first octant bounded

0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3

∫[0,1] ∫[0,2] ∫[0,3] 1 dz dy dx

∫[0,2] ∫[0,1] ∫[0,3] 1 dz dx dy

∫[0,3] ∫[0,2] ∫[0,1] 1 dx dy dz

∫[0,3] ∫[0,1] ∫[0,2] 1 dy dx dz

∫[0,2] ∫[0,3] ∫[0,1] 1 dx dz dy

∫[0,1] ∫[0,3] ∫[0,2] 1 dy dz dx

Let's evaluate the first integral:

∫[0,1] ∫[0,2] ∫[0,3] 1 dz dy dx

= ∫[0,1] ∫[0,2] [z]3 dy dx

= ∫[0,1] ∫[0,2] 3 dy dx

[tex]= ∫[0,1] [3y]0^2 dx[/tex]

= ∫[0,1] 6 dx

= [6x]1

= 6

Therefore, the volume of the rectangular solid is 6 cubic units.

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The values from the set {−4,−3,−2, 0, 1, 2} that satisfy this inequality are -4 and -3 only.

To solve the inequality –2x – 6 ≥ 0, we need to isolate x on one side of the inequality sign.

Adding 6 to both sides, we get:

–2x – 6 + 6 ≥ 0 + 6

–2x ≥ 6

Dividing both sides by –2 (and reversing the inequality because we are dividing by a negative number), we get:

x ≤ –3

The values from the set {−4,−3,−2, 0, 1, 2} that satisfy this inequality are -4 and -3 only.

Therefore, the answer is A. –4 and –3 only.

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Answer:

There are 12 face cards and 4 aces in a standard deck, so the probability of drawing a face card is 12/52 = 3/13, the probability of drawing an ace is 4/52 = 1/13, and the probability of drawing any other card is 1 - 3/13 - 1/13 = 9/13.

The expected gain from drawing a face card is $13, from drawing an ace is $6, and from drawing any other card is -$3. Therefore, the expected gain from this game is:

(3/13)($13) + (1/13)($6) + (9/13)(-$3) = $0

This means that over many games, on average, you would neither win nor lose any money playing this game.

If  scores of an IQ test have a bell-shaped distribution with a mean of 100.   a. The percentage of people that has an IQ score between 86 and 114 is: 68% .

b.  About 16% of people have an IQ score less than 86 or greater than 114.

c. About 16% of people have an IQ score greater than 114.

The empirical rule states that for a normal distribution:

(a) To find the percentage of people with an IQ score between 86 and 114, we need to find the percentage of data within one standard deviation of the mean:

   So, about 68% of people have an IQ score between 86 and 114.

(b) To find the percentage of people with an IQ score less than 86 or greater than 114, we need to find the percentage of data outside one standard deviation of the mean:

   So, about 16% of people have an IQ score less than 86 or greater than 114.

(c) To find the percentage of people with an IQ score greater than 114, we need to find the percentage of data beyond one standard deviation above the mean:

   The percentage of data greater than 114 is the percentage outside the range (100, 114), which is half of the remaining 32% from part (a), or 16%

   So, about 16% of people have an IQ score greater than 114.

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Answer:

the length of the opposite side of the triangle is approximately 21.8594 miles                    

Step-by-step explanation:

tan(theta) = opposite/hypotenuse

opposite = tan(theta) x hypotenuse

Substituting the given values, we get:

opposite = 0.7536 x 29

opposite = 21.8594 miles (rounded to four decimal places)

Answer:

B. They must be similar

Step-by-step explanation:

If you want to know why shape X and shape Y are similar but not congruent, here's a funny way to remember it. Imagine shape X is a cute little kitten and shape Y is a giant lion. They both have four legs, a tail, and a furry body, so they are similar. But they are not the same size, so they are not congruent. You can't make them congruent by rotating, reflecting or translating them, because that would just change their position or orientation. You would need to use a magic wand to shrink the lion or enlarge the kitten. But then you would have a different problem: how to feed them and keep them happy. A scale factor of 3 means that shape Y is 3 times bigger than shape X in every dimension. That's like having a lion that weighs 900 pounds and eats 90 pounds of meat a day. Good luck with that!

Similar figures have the same angles and proportional sides, but not necessarily the same size. Congruent figures have the same angles and sides, and therefore the same size. Point symmetry means that every point on a figure has a corresponding point that is the same distance from a central point but in the opposite direction. Line symmetry means that a figure can be folded along a line so that the two halves match exactly.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

a). His daily profit cap is $450.

b). To make the most money, 1500 cans must be sold.

Considering the subsequent quadratic function;

P(x) = -0.001x² + 3x - 1800

to calculate his daily profit cap;

P(x), a quadratic equation, would be greatest when x = -b/2a.

A quadratic equation has the conventional form  ax² + bx + c = 0

Using eqns. 1 and 2, we can see that;

a = -0.001, b = 3 and c = -1800

We now calculate the greatest profit;

x = -b/2a

When the values are substituted, we have;

x = -3/2*(-0.001)

erasing the warning signals, we have;

x = 3/2*0.001

x = 3/0.002

maximum x = 1500

the value of "x" is substituted in equation 1;

P(1500) = -0.001 * 1500² + 3(1500) - 1800

P(1500) = -0.001 * 2250000 + 4500 - 1800

P(1500) = -2250 + 2700

P(1500) = $450

b). In order for the soft drink salesman to make the most money, 1500 cans must be sold.

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The complete Question is,

A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x² + 3x - 1800.

a. What is his maximum profit per day?

b. How many cans must be sold in order to obtain the maximum profit?

The equation that would be used to find the angle needed to travel 150 meters is 150 = 197.55 sin (2θ).

option D.

The equation that would be used to find the angle needed to travel 150 meters is calculated as follows;

h = (v₀²/4.9) sinθcosθ

where;

Substitute the value of v₀ in the given equation;

h = (44²/4.9) sinθcosθ

h = 395.1 sinθcosθ

In trig identity, 2sinθcosθ = sin (2θ)

h = ¹/₂ [395.1 (2sinθcosθ)]

h = ¹/₂ [395.1 sin (2θ)]

h = 197.55 sin (2θ)

150 = 197.55 sin (2θ)

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In the figure of a regular polygon that is inscribed in a circle, the parts are identified as follows

In a regular octagon, each interior angle has a measure of 135 degrees. To find the central angle of an inscribed regular octagon, we can divide the full circle (360 degrees) by the number of sides in the regular octagon.

The formula to find the central angle of an inscribed polygon is:

Central angle = 360 degrees / number of sides

In this case, the number of sides is 8, so we have:

Central angle = 360 degrees / 8

Central angle = 45 degrees

Therefore, the central angle of an inscribed regular octagon is 45 degrees.

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Answer: The answer is B and C im 100% correct

Step-by-step explanation:

The digits from 0-9 should Jimmy use to represent him winning is 6-9.

We are given that;

Hockey games won against brother=60%

Now,

Since Jimmy wins 60% of his games, we can assign 0-5 to him winning and 6-9 to him losing. This way, each digit has an equal chance of being selected and the probability of Jimmy winning matches his actual win rate. To simulate two games, we can look at two digits from the random number table and see if they are 0-5 or 6-9. For example, if we see 37, that means Jimmy won the first game and lost the second game. If we see 01, that means Jimmy won both games.

Therefore, by probability the answer will be 6-9.

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To answer your question, you need to find the rate of bike travel first. The rate is the ratio of distance to time, so you can divide the distance by the time to get the rate. In this case, the rate is 24 miles / 3 hours = 8 miles per hour. This means that the bike travels 8 miles every hour. To find how many miles the bike travels in 10 hours, you can multiply the rate by the time. In this case, the distance is 8 miles per hour x 10 hours = 80 miles. So, the bike travels 80 miles in 10 hours at this rate.

The average rate of bike travel in the United States is about 1% of all trips while in the United Kingdom it is about 2%. The average distance cycled per year in the United States is about 9 billion miles, while in the United Kingdom it is about 3.3 billion miles.

Hope this helps you, bye! :D

Answer:

The bike travels 80 miles in 10 hours.

Step-by-step explanation:

We need to break this up into units.

To do this, we have to find how many miles the bike can travel in per hour.

This can be done by dividing 24 miles by three hours:

24/3 = 8

This is equal to 8 which means the bike travels 8 miles per hour.

Now, we can calculate how many miles the bike travels in 10 hours by multiplying by 10.

8*10 = 80

Therefore, the bike travels 80 miles in 10 hours.

Answer:

x=3

Step-by-step explanation:

7⁸/7^x=7⁵

Dividing exponents with equal bases is the same as subtracting them.

8-x=5

-x=-3

x=3

Hope this helps!

The exponential function of the graph is y = 2 ( 0.5 )ˣ

Given data ,

Let the exponential function be represented as f ( x )

Now , f ( x ) = y

where y = 2 ( 0.5 )ˣ

And , the base of the exponential function is 0.5, and the coefficient or amplitude is 2. The base of an exponential function determines how fast the function grows or decays, and the coefficient or amplitude determines the vertical stretch or compression of the function.

Hence , the function is y = 2 ( 0.5 )ˣ and the graph is plotted

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The measures of the parts of triangle TBN are:TN = 17.2,BN = 19.4,TB ≈ 17.2,TBN ≈ 31.4°,TNB ≈ 102.6°

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

We can use the Law of Cosines to determine the length of side TB and the Law of Sines to determine the measures of angles TBN and TNB.

Let's start by finding the length of TB:

[tex]c^2 = a^2 + b^2[/tex] - 2ab cos(C)

where c is the length of side TB, a is the length of side TN, b is the length of side BN, and C is the measure of angle TNB.

Plugging in the values we know, we get:

[tex]TB^2 = 17.2^2 + 19.4^2[/tex] - 2(17.2)(19.4)cos(46°)

[tex]TB^2[/tex] = 295.84

TB ≈ 17.2

Now that we know the length of TB, we can use the Law of Sines to find the measures of angles TBN and TNB:

sin(A)/a = sin(B)/b = sin(C)/c

where A, B, and C are the measures of angles TBN, TNB, and TNB, respectively.

We can use the first two ratios to find angle TBN:

sin(TBN)/17.2 = sin(46°)/19.4

sin(TBN) ≈ 0.522

TBN ≈ 31.4°

Finally, we can use the fact that the sum of angles in a triangle is 180° to find angle TNB:

TNB = 180° - TBN - TNB

TNB ≈ 102.6°

So the measures of the parts of triangle TBN are:

TN = 17.2

BN = 19.4

TB ≈ 17.2

TBN ≈ 31.4°

TNB ≈ 102.6°

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The answer would be 0.25.

The symbol √ is called the radical symbol or the square root symbol. It is used in mathematics to represent the square root of a number. For example, the square root of 25 is represented as √25, which equals 5. Similarly, the cube root of a number can be represented using the radical symbol with a small 3, such as ∛27, which equals 3.

In mathematics, a fraction is a number that represents a part of a whole or a collection. It is written as one integer divided by another integer, with a horizontal line between them. The number on the top is called the numerator, and the number on the bottom is called the denominator. Fractions can represent numbers less than one, such as 1/2 or 3/4, or numbers greater than one, such as 5/3 or 7/4. They are used in many everyday situations, such as measuring quantities, dividing food, or expressing probabilities.

First, we simplify the term inside the square root:

√25 = 5

So, 6 - √25 = 6 - 5 = 1

Now we can substitute in the expression:

(6 - √25) / 4 = 1 / 4 =0.25

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The expression for the length of one side of the square is 4x + 8y.

A square is simply a geometric shape with four equal sides and four right angles.

The perimeter of a sqaure is expressed as:

P = 4s

Where "4s" represents the sum of all four sides of the square, since all sides of a square are equal in length.

Given that:

Perimeter P = 16x + 32y

Then plug into:

P = 4s

16x + 32y = 4s

To find an expression for s, we can divide both sides by 4:

4s = 16x + 32y

4s/4 = 16x/4 + 32y/4

s = 4x + 8y

Therefore, one side of the square is 4x + 8y.

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Answer:

Step-by-step explanation:

25%.There are four possible outcomes of two coin flips:

H H

H T

T H

T T

Thus there is a 1 in 4 chance of getting the combination H T, or 25%.

The expressions 1/7x + 7/8x are not equivalent to x.

A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.

To simplify the expressions, we can combine the two terms with the same variable (x) by finding a common denominator.

1/7x + 7/8x = (8/56)x + (49/56)x

Now, we can add the two terms:

(8/56)x + (49/56)x = (57/56)x

Therefore, the simplified expression is 57/56x, which is not equivalent to x.

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