Solve for x given the diagram

It takes 3.33 hours of time to travel a distance of 150 km by bus

The problem is related to time, which basically depends on the speed at which the bus is moving, as we knew the formula for time is distance/speed, here we are provided with the distance which is  150km also equal to 150000m. For normal conditions where the speed of  the bus is h 45km per hour, therefore

=>Distance = Speed × Time

=>150km = 45 Km/hr × Time

Time = 150/45 hr = 3.33 hr ,Which is almost 3.33 hours

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To solve a linear equation with fractions, more than two procedures are required. To undo each action in reverse order, use inverse operations.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

If a mathematical equation contains fractions, divide both sides by the LCD to eliminate the fractions.

Solving a Multi-Step Equation in Steps

Step 1, eliminate the fractional equation.

Step 2: Remove the parentheses from either side using the Distributive Property.

Combining similar phrases on each side in step three.

Step 4: Reverse any additions or subtractions.

Step 5: Reverse division or multiplication.

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We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.

A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.

We have:

f(x)=ln(1+x)

Expansion of In(1+x) up to seven terms is:

In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7

Where it is known that -1 <= x <= 1

Put x=0.4 in the above series:

ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7

We get:

ln(1+4) = 0.3365333

Therefore,  we need 7 terms to estimate the value of ln 1.4 to within 0.0001.

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The angle B for the triangle ABC has a measure of 118° so the correct option is 118°.

The angle B and its exterior angle lie on a straight line, thus their sum is equal to 180°

From the question, we are given that;

m∠B = (12x − 26)° and the exterior angle = (7x − 22)°

so;

12x - 26 + 7x - 22 = 180° {collect like terms}

19x - 48 = 180°

19x = 180° + 48° {add 48° to both sides}

19x = 228°

x = 228°/19 {divide through by 19}

x = 12

Therefore, by putting the value 12 for x in m∠B = (12x − 26) we get the angle B as;

B = 12(12) - 26

B = 144 - 26

B = 118°

In conclusion, the triangle ABC, with m∠B = (12x − 26)° and the measure of the exterior angle to ∠B is (7x − 22) have the angle B equal to 118°.

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x=-9/2 and y=17/4 are the solution to the system of linear equations.

Two or more expressions with an Equal sign is called as Equation.

The system of linear equations are:

y=-5/2x-7..(1)

x+2y=4...(2)

x=4-2y

Subtract x value in equation 1.

y=-5/2(4-2y)-7

y=-20/2+5y-7

y=-10+5y-7

y=5y-17

Subtract both sides by 5y

y-5y=-17

-4y=-17

Divide both sides by 4

y=17/4

Now add y value in equation 2.

x+2(17/4)=4

x+17/2-4=0

x+9/2=0

x=-9/2

Hence, x=-9/2 and y=17/4 are the solution to the system of linear equations.

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Solving the word problems, Sandy has 1.5 more bucket of apple than Keith and Jayson has saved 15/4 month of worth pay

This is often a mathematical problem expressed entirely in words typically used as an educational tool.

To solve this type of problem, we have to translate the words into algebraic expressions or equations and solve for the unknown variables.

1)

Keith = 2 5/6 bucket of apples

Sandy = 4 1/3 bucket of apples

We have to convert this from mixed fractions into improper fraction

Keith = 2 5/6 = 17/6 bucket of apples

Sandy = 4 1/3 = 13/3 bucket of apples

To determine how many more bucket of apples Sandy picked than Keith, we simply need to subtract the fractions from one another.

13/3 - 17 / 6 = 3/2 = 1.5

Sandy picked 1.5 more than Keith

2)

To determine how much Jayson has, we simply need to sum up all his money which will be

2 1/2 + 1 1/4

Let's convert the mixed fractions into an improper fraction

2 1/2 + 1 1/4 = 5/2 + 5/4 = 15/4

Jayson saved 15/4 months worth of pay

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Answer: in every case, the first two number multiplied equal the third number, I don't quit understand if that's the answer you were looking for,

but that's the first thing that occurred to me

Answer:

the volume of the space left in the larger box for packing materials is 1000 - 512 = 488 cubic inches.

Step-by-step explanation:

To find the volume of the space left in the larger box for packing materials, we first need to calculate the volume of the smaller cube and then subtract it from the volume of the larger box. The volume of a cube with side length s is given by s^3, so the volume of the smaller cube with side lengths of 8 inches is 8^3 = 512 cubic inches. The volume of the larger box with side lengths of 10 inches is 10^3 = 1000 cubic inches

Answer:

Your answer is <, Hope it helps.

The interquartile range of the given data set is 2.16.

The given data is 2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22 and 3.26.

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The  order of the given data is 1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.02.

Here,

Q1= 1/4 (n+1) = 11/4= 2.75

= 2.22

Q3 = 3/4 (n+1) = 8.25

= 4.38

Q2 =4.38-2.22

= 2.16

Therefore, the interquartile range of the given data set is 2.16.

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The least amount possible is $25 and the number of miles is 25 miles

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

Yellow Taxi service charges a $15 flat fee plus $2.50

This means that

Yellow Taxi: y = 15 + 2.5x

For the graph, we have

y-intercept = 10

(x, y) = (0, 10) and (2, 16)

So, the slope is

slope = (y₂ - y₁)/(x₂ - x₁) = (16 - 10)/(2 - 0) = 3

So, we have

Black and White Taxi service: y = 10 + 3x

Yellow Taxi: y = 15 + 2.5x

When he travels for 5 miles, we have

Black and White Taxi service: y = 10 + 3 * 5 = 25

Yellow Taxi: y = 15 + 2.5 * 5 = 27.5

Hence, the least amount possible is $25

This means that we equate the above equations

So, we have

15 + 2.5x = 10 + 3x

Evaluate the like terms

0.5x = 5

Divide

x = 25

Hence, the distance is 25 miles

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Answer:

25.9

Step-by-step explanation:

Tangents drawn from a common external point are equal.

[tex]10x-31=2x+17 \\ \\ 8x-31=17 \\ \\ 8x=48 \\ \\ x=6 \\ \\ \implies GE=29 \\ \\ DG=\sqrt{29^2-13^2} \approx 25.9[/tex]

I honestly do not know???

The side opposite the larger angle is larger and you know that MN>NP, so the angle O's measure is more than the angle Q's measure.

Describe angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These are what are known as dihedral angles.

Here,

Greater is the side that is on the other side of the greater angle.

MN>NP.

Consequently, the measure of angle O is greater than angle Q's measure.

Option D is correct since MN>NP is true and the side that opposes the bigger angle is larger. The measure of angle O is therefore greater than the measure of angle Q.

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the probability as a fraction will be 3/12.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

the letters of the word better appear on a child's blocks, one letter per block. the child arbitrarily selects two of the blocks.

PE followed R When 2blocks selected) - 5 = Bois obtaining R from the remaining 3 people selected 12 men & 10

Hence the probability as a fraction will be 3/12.

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Answer: D

Step-by-step explanation:

The line is positive and not very steep. For slope, 13 is too steep, -13 and -3 are negative. It must be y-5=3(x-1), which has an accurate slope of 3.

Answer: 1 13/ 20

Step-by-step explanation:

first multiply 2 1/5 and 1 3/4 you will get 3 17/20then subtract from 3 17/20 - 2 1/5 you will get 1 13/20

Answer: 30n+45=t

Step-by-step explanation:

The time taken to reach $1000000 with an interest rate in a mutual fund of 8% compounded monthly is about 64 years and 2 months.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $6000

r = 8%

n = 12

A = $1000000

Now,

1000000 = 6000 [tex](1 + 0.08/12)^{12t}[/tex]

1000/6 = [tex]1.0067^{12t}[/tex]

log on both sides.

log 166.67 = 12t log 1.0067

2.22 = 12t x 0.0029

12t = 2.22 / 0.0029

12t = 765.52

t = 765.52/12

t = 64.163 years

This means,

About 64 years and 2 months.

Thus,

The time taken to reach $1000000 is 64 years and 2 months.

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a) The scatter plot and the line of fit are given on the second image shown at the end of the answer.

b) The linear function is defined as follows: y = 1.75x + 168.

The linear function is defined in the slope-intercept format, as follows:

y = mx + b.

In which:

Considering the data for 2009 and for 2017 from the table, taking x as the number of years since 2005, two points are given as follows:

(4,175) and (12, 189).

The slope, given two points, is calculated as the division of the change in y divided by the change in x, hence:

m = (189 - 175)/(12 - 4) = 14/8 = 1.75.

Hence:

y = 1.75x + b.

When x = 4, y = 175, hence the intercept b is calculated as follows:

175 = 1.75(4) + b

b = 168.

Then the line of fit is:

y = 1.75x + 168.

The scatter plot is composed by all the points of the data-set, considering x as the number of years since 2005, hence:

(0, 169), (2, 175), ... (12, 189).

The table is given by the first image at the end of the answer.

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Answer:

24

Step-by-step explanation:

Clara builds 3 parts of the fence per hour--

if she works for 8 hours-- we know she built 3 fences each hour-- you would multiply,

8(hours) x 3 (fences) = 24  

we know this is right because 3 parts are built for every hour

(3+3+3+3+3+3+3+3 = 24)

she worked for 8 hours and built 3 parts of the fence every hour

in total, she built 24 parts of the fence.

The area of figure will change quadratically in proportion to length squared when a scale factor is applied

A scale factor is simply a number that multiplies a shape's dimensions. This can enlarge a shape. The scale factor for larger shapes will be greater than one. So, if the scale factor is three, the new shape's dimensions will be three times larger than the original.

A scale factor can also reduce the size of a shape. Smaller shapes have a scale factor that is less than one.

When you dilate a figure, it becomes larger or smaller

With a certain factor, the length of its sides either increases or decreases.

As a result, a change in length will affect the total area of the figure with that scale factor.

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The final scores will be dependent on the prior ones.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

raw scores for as long as possible before assigning a letter grade to a student.

Because the final scores will be dependent on the prior ones.

Hence The final scores will be dependent on the prior ones.

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The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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There are 270725 different ways to select 4 from 52 cards if I don't care about the order of cards in my hand.

Permutation and combination: The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.

Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the number of potential combinations of unrelated objects.

For example, if we want to select 2 players from 6. This will be:

= 6! / 2! (6 - 2)!

= 15 ways

In the given question use the combination. We can write as:

[tex]52C_{4}[/tex] = 52!/4! (52-4)!

This expression could be written in the form

[tex]52C_{4}[/tex] = 52!/4! (52-4)!

[tex]52C_{4}[/tex] = 52!/(4! (48)!)

[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49 x 48!/(4 x 3 x 2 x 48!)

As, 48! cancel out. We get,

[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49/24

       = 6497400/24 = 270725

Hence, there are 270725 ways.

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Answer:

Step-by-step explanation:

the answer is b the arrow BD make angels equal in both sides

The solution is

The width of the rectangular aluminum foil whose area is 11 1/4 inches is

2 1/2 inches

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the width of the aluminum foil be represented as = W

Now , the equation will be

The area of the aluminum foil is A = 11 1/4 inches²

The value of A = 11 1/4 inches²

The value of A = 45/4 inches²

Now ,

The length of the aluminum foil L = 4 1/2 inches

The value of L = 4 1/2 inches

The value of L = 9/2 inches

Now , from the equation of area of rectangle

Width of the rectangle W = Area of rectangle A / Length of rectangle L

Substituting the values in the equation , we get

Width of the aluminum foil W = ( 45/4 ) / ( 9/2 )

Width of the aluminum foil W = ( 45/4 ) x ( 2 / 9 )

Width of the aluminum foil W = 5 / 2 inches

Width of the aluminum foil W = 2 1/2 inches

Therefore , the value of W is 2 1/2 inches or 5/2 inches

Hence , The width of the rectangular aluminum foil is 2 1/2 inches

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