3/5c+7 is less than or equal to 2/5

Answer:

Step-by-step explanation:

If either the numerator or a denominator in a fraction is negative, the slope if negative. However, if both the numerator and denominator are negative, it is positive.

The sign of the slope depends on the sign of the numerator and the denominator.

The slope of a line is given by the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.

If the numerator is positive and the denominator is negative, then the overall sign of the fraction will be negative. Therefore, the slope will be negative.

For example, suppose the numerator is 3 and the denominator is -2. Then, the slope would be:

slope = 3/(-2) = -1.5

This means that the line has a negative slope, which indicates that the line is decreasing as it moves from left to right.

Thus, the slope of a line is negative if it is sloping downwards from left to right, and positive if it is sloping upwards from left to right.

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In the study of parallel lines and transversals, critical thinking is essential to determine the value of x. When dealing with parallel lines, two lines that never intersect, and a transversal, a line that intersects them, various angles are formed.

By utilizing critical thinking skills, one can apply the properties and theorems associated with parallel lines and transversals to find the value of x in relation to these angles.

When examining the angles created by parallel lines and a transversal, we encounter several important concepts. One such concept is the alternate interior angles theorem, which states that when a transversal intersects two parallel lines, the alternate interior angles are congruent. Another relevant theorem is the corresponding angles theorem, which states that when a transversal intersects two parallel lines, the corresponding angles are congruent. By identifying these angle relationships and utilizing critical thinking, we can set up equations or use algebraic reasoning to solve for x and determine its value based on the given information.

In conclusion, critical thinking plays a crucial role in finding the value of x when working with parallel lines and transversals. By applying the properties and theorems associated with these geometric elements, we can establish relationships between angles and use deductive reasoning to solve for the unknown value. This process allows us to deepen our understanding of geometric concepts and develop problem-solving skills that extend beyond this specific scenario.

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The question is incomplete, so this is a genaral answer.

Answer:

3=2n

Step-by-step explanation:

Formula: Tn=T1+(n-1)*d

Tn is the nth term

T1 is the first number of the sequence

n is the nth term as well

D is the common difference

now its Tn=5+(n-1)*2

now solve that so its

Tn=5+2n-2

now its

Tn=3+2n

that's it

Answer:

Step-by-step explanation:  1133.5.

There are 150 students in the after-school day care program, and the correct answer is D. 150.

To find out the total number of students in the program, we need to use the information given to us.

1. We know that 28% of the students wore yellow shirts, and the remaining students wore blue shirts. So, to find the percentage of students who wore blue shirts, subtract 28% from 100%:
100% - 28% = 72%

2. We know that 108 students wore blue shirts. Since this is 72% of the total students, we can set up an equation to find the total number of students (x):
0.72 * x = 108

3. Divide both sides of the equation by 0.72 to solve for x:
x = 108 / 0.72
x = 150

Therefore, there are 150 students in the after-school day care program, and the correct answer is D. 150.

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The correct statement about the center of both box plots is the median for Town A, 30° is greater median for Town B, 25°

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum numbers.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

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...It's A on Ap3x......

The area of the rectangle would be 96 square inches.

Option (D) is correct.

What is the area of the rectangle?

The formula for the area of a rectangle is:

Area = length x width

where length is the distance along the longer side of the rectangle and width is the distance along the shorter side of the rectangle.

In the given figure,

The length of the rectangle = 8 + 8 = 16 inches.

Now by using the Pythagoras theorem, we can find the height

  \(Height= \sqrt{(10)^2-(8)^2} \\\\=\sqrt{100-64}\\\\=\sqrt{36}\\\\=6\)

So the base would be 6 inches.

Now we can find the area of the rectangle

Area = 16 * 6

Area = 96 square inches.

Hence, the area of the rectangle would be 96 square inches.

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The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

Then, the number of n can be computed as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

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The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.

Now, suppose n represents the number of n-digit positive integers.

1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.

Then, the number of n can be calculated as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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6400 different programs are possible without regard to order

What are combinations?

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.

Pick one of the students who can perform five different songs.

For the number that the student will play, there are 5 options.

Numerous programmes will be available for each of those decisions depending on the decisions made for the other students.

Think about the other student who has a repertoire of five songs.

For the number that the student will play, there are 5 options.

You could create 5*5=25 different programmes using those two students, each of whom played one piece.

There are many options.

For each of the remaining four students, there are 4 options.

You have 5*5*4*4*4*4=6400 when you multiply the total number of options available to the students.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Applying the angle addition theorem, the angle measures are:

m∠ABC = 134°

m∠CBD = m∠ABD = 67°

According to the angle addition theorem, the measure of angle  ABC = the sum of the measures of angles ABD and CBD.

We know the following as given:

m∠ABC = (25x + 34) degrees

m∠CBD = m∠ABD = (11x + 23) degrees

Line segment BD bisects angle ∠ABC.

Therefore, it means that the measure of angles ABD and CBD are equal.

A

Applying the angle addition theorem, we have equation below:

m∠ABC = 2(m∠CBD)

Substitute

25x + 34 = 2(11x + 23)

Solve for x

25x + 34 = 22x + 46

25x - 22x = - 34 + 46

3x = 12

3x/3 = 12/3

x = 4

m∠ABC = (25x + 34) = 25(4) + 34 = 134°

m∠CBD = m∠ABD = (11x + 23) = 11(4) + 23 = 67°

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Answer:

\(v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272\)

Answer:

first one

Step-by-step explanation:

Answer:

A, A circular movement around a point

Step-by-step explanation:

Answer:

x = 3+y/2

Step-by-step explanation:

Using the Poisson distribution formula, we can calculate each of these probabilities and then subtract their sum from 1 to obtain P(X ≥ 4).

One would use the Poisson distribution to calculate the probability that at least 4 customers arrive in a randomly chosen minute. The Poisson distribution models the number of occurrences of an event in a fixed interval of time or space, given a known average rate of occurrence and the assumption that the events occur independently of each other.

The probability of observing k occurrences of an event in a Poisson process with rate λ is given by the formula \(P(k) = (e^(-λ) * λ^k) / k!\), where e is the base of the natural logarithm and k! is the factorial of k.

In this case, we have λ = 1.7, the average rate of customer arrivals per minute. So, the expression to calculate the probability that at least 4 customers arrive in a randomly chosen minute would be:

P(X ≥ 4) = 1 - P(X < 4)

where X is a random variable representing the number of customer arrivals in a minute, and P(X < 4) is the cumulative probability of observing 0, 1, 2, or 3 customer arrivals in a minute:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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Answer:

Step-by-step explanation:

THE OUTLINER IS 28!

Answer:

Step-by-step explanation:

\(A=P(1+r/c)^{ct}\\ \\ A=3192(1+0.1)^{4(3)}\\ \\ A=\$ 3596.83\)

−10x+5y=10

x−5y=−28

Rewrite equations:

x−5y=−28

−10x+5y=10

Step: Solve:

x−5y=−28

x−5y+5y=−28+5y(Add 5y to both sides)

x=5y−28

Step: Substitute:

−10x+5y=10

−10(5y−28)+5y=10

−45y+280=10(Simplify both sides of the equation)

−45y+280+−280=10+−280(Add -280 to both sides)

−45y=−270

−45y

−45

=

−270

−45

(Divide both sides by -45)

y=6

Step: Substitute:

x=5y−28

x=(5)(6)−28

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=6

Answer:

60

Step-by-step explanation:

45/9=5 an 12x5=60

jus trust

Answer:

60

Step-by-step explanation:

45÷9=5, and 5×12=60

I.e. he can buy 5 sets of 12 jars, which is 60 jars in total

The integral that gives the area of the shaded region is ∫[-2, -1] [(x² - (x + 2))] dx.

To find the area of the shaded region, we need to calculate the integral of the difference between the upper curve (y = x²) and the lower curve (y = x + 2) over the interval where they intersect. The interval of interest is from x = -2 to x = -1. By taking the difference between the upper and lower curves, we ensure that the area is positive and represents the shaded region between the curves.

The integral notation ∫[-2, -1] [(x² - (x + 2))] dx represents the definite integral of the difference of the two functions with respect to x over the interval [-2, -1]. Evaluating this integral will give us the area of the shaded region between the curves y = x², y = x + 2, and y = 2 - x.

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Answer:

Fifty four million, one hundred five thousand, five hundred

Answer: 3v +2c=32 students

Step-by-step explanation: if you multiply 3 by eight you get 24 and if you multiply the number of cars by 2 you get 8 and 8 plus 24 gets you a total of 32 students

Answer:

(1, -6)

Step-by-step explanation:

After reflecting over y axis: (1, 6)

After reflecting (1, 6) over x axis: (1, -6)

I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"

Answer:

x = -0.8

Step-by-step explanation:

2.35+0.25x = 1.75+0.4

To find x, we must first isolate the value.

This is done by subtracting any values on the same side as the x.

Thus, we subtract 2.35 from both sides.

We are now left with the following:

0.25x=1.75+0.4-2.35

Now you should simplify the right side by finding the sum, which is -0.2, so:

0.25x=-0.2

Finally, solve by dividing each side by 0.25.

x = -0.8

Answer:

\(x = -\dfrac{4}{5} \ \ \textrm{or} \ \ x = -0.8\)

Step-by-step explanation:

First, multiply both sides by 100 to make the numbers nicer to work with.

\((100)(2.35 + 0.25x) = (1.75 + 0.40)(100)\)

\(235+25x=175+40\)

Next, isolate x by moving all the constant terms to one side and then dividing by x's coefficient.

\(25x=175+40-235\)

\(25x = -20\\\overline{\, \, 25 \, \,} \: \, \, \, \, \, \, \, \overline{ \,\, 25 \, \,}\)

\(x = -\dfrac{20}{25}\)

\(x = -\dfrac{4}{5}\)

So, the value of x is -4/5 or 0.8.

Answer:

13 bucks would be the answer hope this helped

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.Domain: [4,∞),{x|x≥4}[4,∞),{x|x≥4}Range: [0,∞),{y|y≥0}