Please help me with these 2 questions please!! Legit answers only! Please!

Part 1:

A.53 =53

B.3^5/3^-6 =177147

C.(1/4)^3 • (1/4)^2 = 1 /1024

D.(-7)^5/(-7)^7 = 1/49

I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1

The arithmetic operations are used in order to evaluate the given expressions and the calculations are given below.

A) \(53\times 5-4\)

Equate the above expression with any variable 'x' and then simplify the given expression.

\(x = 53\times 5-4\\x = 265-4\\x=261\)

From the above calculation, it can be concluded that the value of the given expression does not lie between 0 and 1.

B) \(3^5/3^6\)

Equate the above expression with any variable 'y' and then simplify the given expression.

\(y = \dfrac{3^5}{3^6}\\\\y = \dfrac{1}{3}\)

From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.

C) \((1/4)^3\times (1/4)^2\)

Equate the above expression with any variable 'z' and then simplify the given expression.

\(z = \left(\dfrac{1}{4}\right)^3\times \left(\dfrac{1}{4}\right)^2\\\\z= \left(\dfrac{1}{4}\right)^5\)

From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.

D) \((-7)^5/(-7)^7\)

Equate the above expression with any variable 'w' and then simplify the given expression.

\(w = \dfrac{(-7)^5}{(-7)^7}\\\\\\w=\dfrac{1}{49}\)

From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.

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Answer:

Step-by-step explanation:

Basic Charge = $ 65

Rate per hour = $ 28

Number of hours = H

Rate for H hours = 28 *H = 28H

Equation:

65 + 28H ≤ 250

Anan consideration requires:

Requirements of the plumber

Thus, to determine the number of how many hours Anan can afford for his total amount of $250, we have the following:

The initial fee + hourly rate ≤ 250  

∴

   $65 + $28 H ≤ 250

Therefore, we can conclude that the perfect inequality that describes Anan Scenario is:    $65 + $28 H ≤ 250

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To find the probability that at least 2 of the comments are positive, we can use the concept of complementary probability. We'll find the probability that fewer than 2 comments are positive and then subtract it from 1 to get the desired probability.

Let's consider the following scenarios:

1. No comments are positive (all 10 comments are negative).

2. Exactly 1 comment is positive.

Let's calculate the probability of each scenario:

1. Probability of no comments being positive:

P(No positive comments) = (0.9)^10 = 0.3487 (rounded to four decimal places)

2. Probability of exactly 1 comment being positive:

P(Exactly 1 positive comment) = 10 * (0.1)^1 * (0.9)^9 ≈ 0.3874 (rounded to four decimal places)

To find the probability that at least 2 comments are positive, we subtract the sum of the above probabilities from 1:

P(At least 2 positive comments) = 1 - P(No positive comments) - P(Exactly 1 positive comment)

                             = 1 - 0.3487 - 0.3874

                             ≈ 0.2639 (rounded to four decimal places)

Therefore, the probability that at least 2 of the comments are positive is approximately 0.2639 or 26.39%

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Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

Answer:

Similarity statement: △PRQ  ∼ △TRS

Step-by-step explanation:

They are similar because of vertical angles and sharing a parallel side

The Sampling technique used in the given scenario is random sampling technique.

There are four main types of this sampling method:

In the sampling method known as random sampling, each sample has an equal chance of being chosen. The purpose of a randomly chosen sample is to fairly represent the total population. for example-A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. Since every employee has same chance of being chosen, the sample in this case is random and the population in this case is all 250 employees.

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According to the problem statement the actual boat is 96 inches long.

Boat in math is a geometric shape that is formed when two perpendicular lines intersect at two points, forming two pairs of equal-length sides that cross each other in the middle. It looks like the bottom of a boat with two sides meeting at the center. In mathematics, the boat shape is often used to represent an equation or a function. It is also used to illustrate the concept of a mathematical set, or group of related objects. The boat shape can also be used to graphically represent relationships between two or more variables.

The actual boat is 96 inches long. The scale factor of 24:1 means that for every 1 inch on the model, there are 24 inches on the actual boat. Therefore, for the 4 inch model boat, there are 4 × 24 = 96 inches on the actual boat.

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Answer:

Step-by-step explanation:

P= perimeter

P=58 feet

shortest side=a

P= (a+18)+3a+a=58

5a+18=58

5a=58-18

5a=40

a=8 ft

The measures of KM, KQ, LK, LR, NK and PM are 2, 2, 4, 4, 6 and 2 respectively.

1) KM: Since N is the midpoint of QR, we know that QN = NR, so QN + NR = QN + QN = 2QN = 26 = 12. Therefore, KM = KR - QN = (PK+KQ) - QN = 4 - 6 = -2.

2) KQ: Since PK = 4 and KM = -2, we have KQ = PK + KM = 4 + (-2) = 2.

3) LK: The median of a triangle connects a vertex to the midpoint of the opposite side, and it's length is 2/3 the length of the hypotenuse of the right triangle formed by the median and the two segments from the vertex to the endpoints of the median.

In this case, LK = (2/3)(PQ) = (2/3)(4+2) = (2/3)*6 =4

4)LR: In this case, LR = LK = 4

5) NK: NK = QN = 6

6) PM: PM = PK - KQ = 4 - 2 = 2

Please note, that in order to be able to calculate all these lengths and measures, it is assumed that the triangle PQR is a valid triangle i.e, the sum of the lengths of any two sides of the triangle is greater than the length of the third side.

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Answer:

the number of drinks purchased

Step-by-step explanation:

Answer:

2, the number of drinks purchased.

Step-by-step explanation:

one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.

Answer:

Step-by-step explanation:

Given the scale factor:

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

The expression is simplified to 16/81

Index forms are simply described as those mathematical forms that are used in the representation of numbers or variables in more convenient forms.

Index forms are also referred to as;

From the information given, we have;

(8/27)⁴/³

To determine the value

Find the cube root, we get;

(∛8/27)⁴

(2/3)⁴

Find the value of the exponents

16/81

Thus, the value is 16/81

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real numbers, integers, rational numbers

=========================================================

Explanation:

So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.

So that's why -12 is a real number.

Choice A is one of the answers

---------------

The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values

{..., -3, -2, -1, 0, 1, 2, 3, ...}

That makes -12 an integer

Choice C is one of the answers

----------------

The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1

This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.

------------------

We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.

The requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Here,

Only sets that consist of negative values are, real numbers, integers, and rational numbers.

So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.

Thus, the requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

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Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept form : y = mx + b

6x - 3y = 9

     -3y = -6x + 9

      \(\frac{-3}{-3}y=\frac{-6}{-3}x+\frac{9}{-3}\\\\\)

          y = 2x - 3

An example of a linear function table is y=3x

A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

for example:

y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.

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The conversions required to compute the number of pounds of mulch in tons that Badru requires is C. Multiplying 5 and 800, then B. dividing the result by 2,000.

The conversion of units from one measurement to another involves either multiplication or division, or sometimes both.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

The number of pickup tructs Badru has = 5

The carring capacit of each truck = 800 pounds

Given that 1 ton = 2,000 pounds

First Step:

The total number of pounds required  to be carried = 4,000 pounds (5 x 800)

Second Step:

4,000 pounds converted to tons = 2 tons (4,000 ÷ 2,000)

Thus, the correct options are C and B.

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Answer:

54

Step-by-step explanation:

First divide 375 by 7

you should get 53.57

Then since 0.5 is high enough to round up the answer becomes

54

5√7 × 3√14 = 5 × 3√(7 × 14)

= 15√98

= 105√2

Answer:

105\(\sqrt{2}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

5\(\sqrt{7}\) × 3\(\sqrt{14}\)

= 5 × 3 × \(\sqrt{7(14)}\)

= 15 × \(\sqrt{98}\)

= 15 × \(\sqrt{49(2)}\)

= 15 × \(\sqrt{49}\) × \(\sqrt{2}\)

= 15 × 7 × \(\sqrt{2}\)

= 105\(\sqrt{2}\)

y = 1.5x + 0.5 is the equation of the line passing through the coordinate points

The formula for finding the equation of a line in slope-intercept form is expressed as:

y =mx + b

where:

m is the slope

b is the intercept

Determine the slope

slope = 5-2/3-1

slope = 3/2

slope = 1.5

Determine the y-intercept

y = mx + b

5 = 1.5(3) + b

5 = 4.5 + b

b = 0.5

Hence the required equation of the line passing through ( 1,2) and (3,5) is

y = 1.5x + 0.5

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Complete question

What's the equation of a line that passes through (1,2) (3,5)?

Answer:

There are 400 Students.

Answer:

5, 1.75, .001, and -0.1

Step-by-step explanation:

Number As a Fraction Rational?

5                  5/1             Yes

1.75                  7/4              Yes

.001               1/1000      Yes

−0.1               −1/10              Yes

Hope this Helps (✿◡‿◡)

P.S I got this off the internet.

Answer:£13.70

Step-by-step explanation:

The rate at which the area of the cloud is increasing is equal to the product of the rate of expansion and the square of the radius of the cloud.

Therefore, the rate at which the area of the cloud is increasing is equal to the product of the rate of expansion and the radius of the cloud. The rate of expansion can be calculated using the equation . Therefore, the rate at which the area of the cloud is increasing can be calculated as .

The area of a circle is determined by the square of its radius. Thus, when the radius of the cloud is expanding at a rate, the area of the cloud is increasing at a rate that is proportional to the square of its radius.

Therefore, in order to calculate the rate at which the area of the cloud is increasing, we must calculate the rate of expansion of the radius of the cloud and then multiply it by the square of the radius of the cloud. To calculate the rate of expansion of the radius of the cloud, we can use the equation .

After we have calculated the rate of expansion, we can then multiply it by the square of the radius of the cloud to calculate the rate at which the area of the cloud is increasing.

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Answer:

255

Step-by-step explanation:

The summation value of the term in the series will be equal to

3 + 12 +48 + 192 after calculation.

Here, we have,

We know that, summation:

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

∑(n = 1 to 4) 3(4)^n-1

By solving the above term;

∑(n = 1 to 4) 3(4)^n-1

=3 + 12 +48 + 192

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer:

50% or 1/2

Step-by-step explanation:

Because there are 4 animals in the barn, if two animals leave (out of 4), then there are 50% of the animals in the barn and 50% of the animals leaving the barn.

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Answer:

20

Step-by-step explanation:

The total degrees in a circle is 360 degrees

x+40+2x+110+3x+90 = 360

==> 6x = 120

x = 20

Answer:

The answer would be x=20

9 times 9=72

Step-by-step explanation:

if if the width is 9 then the length is 9 because 9 times 9 equals 72

Answer:

The length is 15

The width is 21

Step-by-step explanation:

Say the length of the rectangle is x.

Then, the width would be 2x-9.

You can use this to make the equation

x+x+2x-9+2x-9=72

6x-18=72

6x=90

x=15

2x-9=30-9=21

Therefore,

The length is 15

The width is 21

Answer:

43˚

Step-by-step explanation:

If angle 5 is 134˚, then that means angle 2 must be 46.

Inside the triangle, we have three angles. A right angle of 90˚, angle 2 of 46˚ and the unknown angle 1. Since the total sum of the angles in a triangle must be 180, we can solve for angle 1:

180 = 90 + 46 + x

Therefore:

x = 43˚

Angle 1 is 43 degrees.

Hope this helps!

Answer:

(5,21)

Step-by-step explanation:

multiply the second equation by 4

=4x-20y=-400

now subtract the second from first

4x-4x = 0

-y-(-20y) = 19y

-1-(-400) = 399

19y = 399

divide equation by 19

399/19 = 21

y = 21

input 21 into any of the equations

4x-21=-1

4x=20

divide equation by 4

x=5

answer is (5,21)