Keshawn is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?

a) The fraction of chocolate distributed is given as follows: 4/3.

b) The fraction of chocolates left with Paul is given as follows: 8/3.

The fractions are obtained applying the proportions used in the context of this problem.

He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:

4 x 1/3 = 4/3.

(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).

The total number of bars that Paul had initially is given as follows:

4 bars.

Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:

4 - 4/3 = 12/3 - 4/3 = 8/3 bars.

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The difference between Mary's weight when she was 10 year's old and when she was born will be;

⇒ 72 pounds

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

When Mary was born, she weighed 8 pounds.

And, When she was 10 years old, she weighed 10 times as much.

Now,

Since, When she was 10 years old, she weighed 10 times as much.

Hence, When she was 10 years old, she weighed = 10 × 8 pounds

                                                                             = 80 pounds

And, When Mary was born, she weighed 8 pounds.

Thus, The difference between Mary's weight when she was 10 year's old and when she was born is,

⇒ 80 - 8 pounds

⇒ 72 pounds

So, The difference between Mary's weight when she was 10 year's old and when she was born is 72 pounds.

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The complete question is this,

When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh when she was 10 years old than she was born?

Answer:

28°, 62°

Step-by-step explanation:

As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.

Here are all the acute angles in order:

[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]

[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]

Answer:

18 × 3 = 54

18 + 54 = 72

Therefore, the answer is 72.

From the classification angles, it was possible to find the arcs:

UL=40, UY= 90, TY=50, YLE =270, LE=140 and UET=220.

If UE= 180 and TE=40, you have:

UET=UE+TE

UET=180+40

UET=220

They are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:

The question gives mTE=40, and it asks:

UL is opposite the arc TE, therefore its value is also 40.

The figure shows a right angle, then UY is equal to 90.

If UY is equal 90, YE is equal to 90 too, because they are supplementary. If YE=90 and TE=40, you have:

TE+TY=90

40+TY=90

TY=90-40

TY=50

YLE = YE+UE. The figure shows YE=90 and UE represents a semicircle (180). Thus,

YLE= 90+180=270

If UE= 180 and UL=40, you have:

UE=UL+LE

180=40+LE

LE=180-40

LE=140

If UE= 180 and TE=40, you have:

UET=UE+TE

UET=180+40

UET=220

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Answer:

Yes, Anna and Sharon both created triangles that are congruent. Their triangles are congruent because they have 2 corresponding, congruent side-lengths and an included angle that is congruent. Therefore, their triangles are congruent by SAS (Side-Angle-Side).

The process of logarithmic functions in real-worlds problems is given below.

And an example of an application of logarithmic function is given.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

We know,

logarithmic function and exponential function are inverse of each other.

So, whenever we solve the exponential function,

we use the help of logarithmic functions.

To compute the number with bigger exponents,

we use the logarithms.

Because it reduces the size of the numbers.

Let the bacteria is growing exponentially,

b = 2ⁿ.

We know that the bacteria grows every hour.

We want to find time.

Here, we will use the inverse function to the exponential function.

How long will it take them to get 1000 bacteria?

1000 = 2ⁿ

Taking log on both sides,

log(1000) = n log2

n = log(1000)/log(2)

n = 9.96

n ≈ 10 hours.

Therefore, an application of logarithmic function is given above.

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Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

The current temperature of the water is given as follows:

71.7 ºF.

The defining statement from the problem is given as follows:

He finds that the temperature changed by -0.6°F.

The change by the negative amount of -0.6ºF means that the current temperature of the water is obtained subtracting the previous temperature of the water by 0.6 ºF.

The previous temperature of the water is given as follows:

72.3°F.

Hence the current temperature of the water is obtained subtracting 72.3ºF and 0.6ºF, as follows:

72.3 - 0.6 = 71.7 ºF.

The previous temperature of the water is given as follows:

72.3°F.

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Answer:
Here is a sequence of numbers using the rule "x+8":

x+8=9 (x=1)

x+8=10 (x=2)

x+8=11 (x=3)

x+8=12 (x=4)

x+8=13 (x=5)

x+8=14 (x=6)

Here is the sequence of ordered pairs:

(1, 9)

(2, 10)

(3, 11)

(4, 12)

(5, 13)

(6, 14)

Answer:

Step-by-step explanation:

To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.

To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.

So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.

To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.

Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.

To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:

(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)

Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)

So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.

The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations below

-x + y = 4,

6x + y = -3

As per the given question, the required graph has been attached below.

The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).

This is the point where the two lines cross each other.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the correct question would be:

What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3

A. (1, –3)

B. (–1, 3)

C. (1, 3)

D. (–3.5, 0.5)

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

Answer:

linear function can be found by looking at a linear graph and determining the equation of the line and converting that equation into a function.Step-by-step explanation:

The steps to do this are: Find the y-intercept (this is equal to b in the formula) Find the slope of the line (this is equal to m in the formula)

Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.

cos θ = Opposite side / Adjacent side

cos θ = 14 / 22

cos θ = 0.6363

θ = cos^-1 (0.6363)

θ ≈ 45.9°

Answer:

first option

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

x + y = 4 ← is the equation of a straight line

find the x and y- intercepts

to find the y- intercept let x = 0 in the equation and solve for y

0 + y = 4 , that is

y = 4 ⇒ (0, 4 ) is a point on line

to find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 4 , that is

x = 4 ⇒ (4, 0 ) is a point on the line

the graph representing the system is

a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )

Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

a) The process to find the limit is given as follows:

b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

Hence:

For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.

Applying the subtraction of perfect squares, we have that:

x² - 1 = (x - 1)(x + 1).

Then:

g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.

Meaning that the limit is then calculated as follows:

lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.

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Answer:

Having 3 students pick a raffle

Step-by-step explanation:

Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.

Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.

For the success rate of 30%, this means the probability of that specific event would be 0.3.

So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.  

Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.  

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Answer:

Choose the right container: Select a container that is appropriate for the size and type of plant you want to grow. Make sure the container has drainage holes to allow excess water to drain away.

Use the right soil: Use a well-draining soil mix that is appropriate for the type of plant you are growing. Avoid using soil from your garden, as it may contain pests or diseases that can harm your plant.

Provide proper lighting: Most plants need plenty of sunlight to grow, so choose a location that gets plenty of light. If you are growing plants indoors, you may need to use grow lights to provide adequate lighting.

Water properly: Water your plants regularly, but avoid overwatering, as this can lead to root rot. Check the soil moisture level regularly and water when the top inch of soil is dry.

Fertilize: Use a balanced fertilize to provide your plants with the nutrients they need to grow. Follow the instructions on the fertilize package for the proper amount and frequency of application.

Pest control: Keep an eye out for pests such as aphids, thrips, and mealybugs, and take action if necessary. There are many natural ways to control pests, such as introducing predatory insects or using neem oil.

By following these general tips, you should be able to successful

There are three popular choices when it comes to growing - Hydroponics, Soil and Coco. These methods vary widely according to the source, understanding the source of your media can lead to a grower getting better results.

Answer:

x= -4/19

Step-by-step explanation:

19x+4

19x+4=0

19x= - 4

x= -4/19

Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

Probability is the likelihood or potential for something to event.  For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.

Here,

Given : t the end of each week there is a 5 questions multiple choice test.

and

Has 4 options.

Probability that he will pass using this random option picking method.

=> Probability = Favourable events / Total no of outcomes

=>  Probability = 1 /4

=> Probability = 0.25 or 25%

Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

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Answer: To reflect a point across the x-axis, you need to change the sign of the y-coordinate. Therefore, the point (-7.2, 2) reflected across the x-axis becomes (-7.2, -2).

To reflect a point across the y-axis, you need to change the sign of the x-coordinate. Therefore, the point (-7.2, -2) reflected across the y-axis becomes (7.2, -2).

The resulting shape is a rectangle with one corner at (-7.2, 2) and the opposite corner at (7.2, -2).

Step-by-step explanation:

The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 ,  e - 2 , f - 3

What is a number ?

number is used to represent the quantity of number  and it is even used for calculations.  

a) Multiplicative inverse

if the product the given number and reciprocal of the given number is 1.

so,

5 * 1/5  = 1

as LHS = 5 * 1/5  = 1

RHS = 1

Hence , a - 4

b )  Additive inverse

if the summation of the given number and opposite sign of given number results 0 .

7 + (-7) = 0

LHS = 7+ (-7) = 0

RHS = 0

hence , b - 5

c ) Commutative Property of Multiplication

if a.b = b.a hence it is in Commutative Property of Multiplication .

so,  5.6 = 6.5

hence , c - 1

d) Distributive property

if a ( b + c ) = a*b + a*c than it is in distributive property .

hence , d - 6

e) Additive Identity Property

if a+ 0 = a hence it is Additive Identity Property

so , b - 2

f ) Associative Property of Addition

if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition

so , f - 3.

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The weight of the circle is heavier than the weight of the square by the weight of the triangle

Examining the weights, can lead to a linear equation, the equation will have the follows parameters

let t represent triangle

let c represent circle

let s represent square

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

divide through by 3

s + t = c

10 + t = c

From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square

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Answer:

x ≤ −2 or x ≥ 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.