Is 4 ÷ 3/2 the same as 4 ÷ 2/3. Explain ​

Answer: Correct me if I am wrong, but this is how I think you should solve it.

Step-by-step explanation:

1. Simplify 8×5 to 40.

−2×(40+9)−6×7

2. Simplify 40+9 to 49.

−2×49−6×7

3. Simplify −2×49 to −98.

−98−6×7

4. Simplify 6×7 to 42.

−98−42

5. Simplify

−140

Your all done! Hope this helps.

Answer:

900

Step-by-step explanation:

Answer:

1.67 and -1.25

Step-by-step explanation:

the quadratic formula is -b+-√b^2-4ac/2a

first you need to add the 4r to both sides so the equation will equal 0

so its 12r^2-5r-25

and lets plug it into the formula

-b = 5; b^2 = 25; 4ac = 1200 and its positive cause -*-=+; and 2a=24

5+-√25+1200/24 = 5+-35/24

so your 2 equation are 5+35/24 and 5-35/24

and the answers would be 1.67 and -1.25

Answer:

Step-by-step explanation:

42 : x = 12 : 14

x = 42 x 14 : 12

x = 49

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

The power of ten is basic concept to solve the largest numbers. The number 1,23456789 x 10⁻⁶is not the same value as 1,23456789000000. So, option(d) is right one.

The powers of 10 refer to the numbers in which the base is 10 and the exponent is an integer. Exponent and power concept is used to simplify the smallest and largest number. For example, 10², 10³ shows different powers of 10. The formula for powers of 10 is 10ˣ , where x is an integer.

We have a number 1,23456789 x 10⁻⁶

As we know, 10⁻ˣ is written as '0 decimal point followed by (x -1) number of zeros followed by 1". We can write the power expansion, 10⁻⁶ = 0.000001. So, the above expression can be represent flin following forms,

Hence, we cannot write it in form of 1,23456789000000.

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Complete question:

1,23456789 x 10^{-6} is not the same value as

a) 1,23456789/1000000

b)1,23.456789

c) 1,23456789/10⁶

d) 1,23456789000000

m11=54°

m8=117°

m7=63°

Step-by-step explanation:

a) m2=m12 (corresponding angles)

m12=126°

180=m12+m11 (supplementary angles equal 180)

180=126+m11

m11=54°

b) m14=m8. (corresponding angles)

m8=117°

C) m7=180-m8 (supplementary angles equal 180)

m7=180-117

m7=63°

Answer:

12

Step-by-step explanation:

4 × 3 = 12

3/3 = 12

2/3 = 8

1/3 = 4

8 slices were eaten and 4 are left, and if you add 8 + 4 or you multiply the 3 × 4, you get 12. There were originally 12 slices.

hope this helps you

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

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Answer:

write the equation of a line perpendicular to y = −13x−13xx + 5 and passes through the point (6,4).

Step-by-step explanation:

Range is the y-values of the graph. Because the domain or x-values represents the study in a 36 month period the range represents the amount of users in that 36 month period.

Thus, the answer is C.

Answer:

vertex: (1, –8)

Step-by-step explanation:

\(a=3 \\b=-6\\c=-5\)

rewrite equation in vertex form: \(y=a(x-h)^2+k\)

1. factor out 3

\(y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\\)  

2. complete the square using \((\frac{b}{2} )^{2}\):

\((\frac{-2}{2})^2=1\)

3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3

\(y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8\)

4. find vertex

\(x-1=0\\x=1\)       \(y=-8\)

vertex = \((1,-8)\)

Answer:

slope-intersect formula: y =  mx + b

answer: 15y = -12x - 45

Step-by-step explanation:

Answer:

12x + 15y = -45   Rearrange equation

15y = -12x - 45    Divide all terms by 15

y = \(-\frac{12}{15} x-\frac{45}{15}\)      Simplify fractions

y =\(-\frac{4}{5}x -3\)

1 gram=100centigrams and 1 centigram=10milligrams. At 1420 milligrams we get 1.42 grams.

Given that,

We know,

1 gram=100centigrams and 1 centigram=10 milligrams.

We have to find at how many milligrams we get 1.42 grams.

1 centigram = 0.01 grams

1 milligram is 0.1 centigrams

Therefore, all you have to do to calculate the milligrams is multiply 1.42 by 1000.

1.42 × 1000

Alternately, you may multiply 1.42 by 100 and then add a zero to make it a whole number.

(1.42 × 100) × 10

142 × 10

1420 milligrams

Therefore, at 1420 milligrams we get 1.42 grams.

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a. From t = 2 to t = 5 seconds: 9 feet per second.
b. From t = 5 to t = 5.5 seconds: 21.5 feet per second.
c. From t = 5.5 to t = 6 seconds: 28.5 feet per second.

The average speed of a car can be determined by dividing the change in distance by the change in time. In this case, we can use the formula d = t^2 + 2t to find the distance of the car from a stop sign in terms of time.

a. From t = 2 to t = 5 seconds:
To find the average speed over this interval, we need to calculate the change in distance and the change in time.
At t = 2 seconds, the distance from the stop sign would be d = 2^2 + 2(2) = 8 feet.
At t = 5 seconds, the distance from the stop sign would be d = 5^2 + 2(5) = 35 feet.
Therefore, the change in distance is 35 - 8 = 27 feet and the change in time is 5 - 2 = 3 seconds.
To find the average speed, we divide the change in distance by the change in time:
Average speed = (change in distance) / (change in time) = 27 feet / 3 seconds = 9 feet per second.

b. From t = 5 to t = 5.5 seconds:
Again, we need to calculate the change in distance and the change in time over this interval.
At t = 5 seconds, the distance from the stop sign would be d = 5^2 + 2(5) = 35 feet.
At t = 5.5 seconds, the distance from the stop sign would be d = (5.5)^2 + 2(5.5) = 45.75 feet.
Therefore, the change in distance is 45.75 - 35 = 10.75 feet and the change in time is 5.5 - 5 = 0.5 seconds.
To find the average speed, we divide the change in distance by the change in time:
Average speed = (change in distance) / (change in time) = 10.75 feet / 0.5 seconds = 21.5 feet per second.

c. From t = 5.5 to t = 6 seconds:
Once again, we calculate the change in distance and the change in time over this interval.
At t = 5.5 seconds, the distance from the stop sign would be d = (5.5)^2 + 2(5.5) = 45.75 feet.
At t = 6 seconds, the distance from the stop sign would be d = 6^2 + 2(6) = 60 feet.
Therefore, the change in distance is 60 - 45.75 = 14.25 feet and the change in time is 6 - 5.5 = 0.5 seconds.
To find the average speed, we divide the change in distance by the change in time:
Average speed = (change in distance) / (change in time) = 14.25 feet / 0.5 seconds = 28.5 feet per second.

So, the car's average speed over each of the given intervals is as follows:
a. From t = 2 to t = 5 seconds: 9 feet per second.
b. From t = 5 to t = 5.5 seconds: 21.5 feet per second.
c. From t = 5.5 to t = 6 seconds: 28.5 feet per second.

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Answer:

Bicycles = 315

Scooters = 630, basic mathematics. The most effective method for these questions is substitution. But I might have intermingled them so double check

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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Answer:

36

Step-by-step explanation:

angle ACB = 180-130=50 degree

angle ABC = 180 - (94+50)

                  = 180-144

                  = 36

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

90  is the average score of these top students.

What is the average in mathematics?

Mean is defined as the average equal to the ratio of the total number of values ​​in a particular set to the total number of values ​​in the set.

                               The average in mathematics is the average of a data set obtained by adding all the numbers and dividing the sum of the numbers by the number of numbers. For example, using the following dataset:

8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7, so the average is 7. 

the average score of these top students = 95 + 86 +  87 +  91 + 94 + 87/6

                                                              = 540/6 = 90

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The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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The probability that Charlie is selected exactly three times in 20 consecutive weeks is approximately 0.242, or 24.2%.

To calculate the probability that Charlie is selected exactly three times in 20 weeks, we'll use the concepts of binomial probability, combinations, and the total number of ways to select a student.

1. Determine the binomial probability: In this case, we have 20 trials (weeks), with a probability of success (Charlie being selected) as 1/20, and a probability of failure (Charlie not being selected) as 19/20.

2. Calculate combinations: We need to find the number of ways Charlie can be selected 3 times in 20 weeks, which can be found using the combination formula: C(n, k) = n! / (k!(n-k)!), where n is the total number of trials (20) and k is the number of successes (3). So, C(20, 3) = 20! / (3!(20-3)!) = 1140.

3. Apply the binomial probability formula: P(X=k) = C(n, k) * p^k * q^(n-k), where p is the probability of success, q is the probability of failure, n is the total number of trials, and k is the number of successes. In this case, P(X=3) = 1140 * (1/20)³ * (19/20)¹⁷ ≈ 0.242.

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Answer:2x3

Step-by-step explanation:

The weight of the goods on the ship decreased by 50 percent.

To find the percentage decrease in the weight of goods on the ship, we need to calculate the difference between the initial weight and the final weight, divide it by the initial weight, and then multiply by 100 to get the percentage decrease.

The initial weight of the goods on the ship was 60,010 tons and the final weight after unloading was 30,005 tons.

The difference between the initial weight and the final weight is 60,010 - 30,005 = 30,005 tons.

To find the percentage decrease, we divide the difference by the initial weight:

30,005 / 60,010 = 0.5

Multiplying by 100 gives us the percentage:

0.5 x 100 = 50%

Therefore, the weight of goods on the ship has decreased by 50 percent.

In conclusion, the percentage decrease in the weight of goods on the ship is 50 percent. This means that the ship has unloaded half of its initial weight and now carries only half of the weight it carried when it left the port last week. This calculation can be helpful for the shipping company to determine the efficiency of their transportation and to plan for future shipments.

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Ciphers, such as the enigma machine, that rearrange the sequence of characters based on a fixed rule are known as substitution cipher.

A type of encryption known as a replacement cypher employs a key to substitute certain plaintext chunks with the ciphertext in a predetermined manner.

Single letters, pairs of letters, triplets of letters, combinations of the aforementioned, etc. are all acceptable "units." The receiver decodes the text using the inverse substitution technique to ascertain what the original message was.

Cyphers for transposition and substitution are similar. In a transposition cypher, the plaintext's units are not changed; instead, they are rearranged in a brand-new, frequently extremely complex pattern. A substitution cypher modifies the units themselves while preserving the order of the units from the plaintext in the ciphertext.

The substitution cypher can take many different shapes. If a cypher only functions with single letters, it is referred to as a simple substitution cypher; a polytrophic cypher, on the other hand, functions with larger groups of letters.

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The standard form of the equation of the line

The equation of the line can be expressed in several forms. One of them is the standard form:

Ax + By = C

Where A, B, and C are constants, and x and y are the variables.

We have the equation:

Multiplying by 3:

Subtracting 4x:

Is the required standard form of the line

due to my knowledge its 75 because it is.

Step-by-step explanation:

first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.

so, all the "perpendicular" answers are out.

answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.

and since these 2 lines are parallel, the must have the same angles with the crossing line.

therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.

The equation of the line of best fit is y = -0.03x + 69.94

The column headers are given as:

Year    Time(s)

To enter the data values in a graphing calculator, we use the following representations:

x ⇒ Year

y ⇒ Time (s)

Using the above representations, we have the following calculation summary from a graphing calculator:

The equation of the line of best fit is:

y = bx + a

Where

b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03

a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94

So, we have:

y = -0.03x + 69.94

A linear equation is represented as:

y = Slope * x + y intercept

So, we have:

Slope = -0.03

y intercept = 69.94

The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year

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105 degrees is equivalent to (7π)/12 radians.

To convert degrees to radians, we use the conversion factor that 180 degrees is equal to π radians, or 1 degree is equal to π/180 radians.

Given that we need to convert 105 degrees to radians, we can use the conversion factor:

105 degrees * π/180 radians/degree = (105π)/180 radians

Simplifying the fraction:

(105π)/180 = (7π)/12 radians

Therefore, 105 degrees is equivalent to (7π)/12 radians.

To understand this conversion, we can consider the definition of a radian. A radian is a unit of measurement for angles, where the arc length of a circle is equal to the radius of the circle. In this case, 105 degrees represents a fraction of the entire circle, and when converted to radians, we find that it corresponds to (7π)/12 radians.

So, the correct answer is (7π)/12 radians.

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The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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Answer:

The diameter of the circle is 7/2.

Step-by-step explanation:

⭐What is the radius of a circle?

⭐What is the diameter of a circle?

Thus, the diameter of said circle is twice the radius of said circle.

diameter = 2(radius)

diameter = 2(7/4)                   . . . . substitute known values

diameter = 14/4                      . . . . multiply the numerator & denominator

diameter = 7/2                       . . . . simplify

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