What is the answer for
(7-2)÷5

Answer:

no solution

Step-by-step explanation:

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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Answer:

y=7/3

Step-by-step explanation:

Answer:

7/3 = y

Step-by-step explanation:

-5+8=-3y+10

3 = -3y + 10

Subtract 10  from each side

3- 10 = -3y +10-10

-7 = -3y

Divide each side by -3

-7/-3 = -3y/-3

7/3 = y

Items in A and C, but not B is the required region.

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Given:

A ∩ B' ∩ C

That means,

A intersection not B intersection C.

B' is the complement of set B.

So, the region is,

Items in A and C, but not B.

Therefore, the items in A and C but not in B.

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The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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Answer:

2x + 3 ≥ 6

2x + 3 - 3 ≥ 6 - 3

2x ≥ 3

2x ÷ 2 ≥ 3 ÷ 2

x ≥ 1.5

Answer:

B) retirement

Step-by-step explanation:

Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.

Hope this helps!!

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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For the Question"The sum of income of A and B is more than...", B's income is the highest.

This is further explained below.

money obtained, particularly on a consistent basis, as a result of one's employment or investments.

Generally, the equations are mathematically given as

A+B  >  C+D

A+C  =  B+D

Hen

A= 2B+D

so from (2) we get C=  2

B+D =A

When we enter A and C into (1), we get the following:

B>D

We may deduce from premises (1) and (2) that C and B

So, B>C=A and B>D.

In conclusion, B's income is the highest.

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Answer:

Step-by-step explanation:

The minimum is the smallest value in a data set.

Ordering the data from least to greatest, we get:

1  2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So the minimum is 1

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

Quartile 1 is 5,        

1   2   3   5   6   7   9  11   12   13   14   16   17   19   20  

The first half is

1   2   3   5   6   7   9, the median of these numbers is 5 so Quartile 1 = 5

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

The median is 7,     1   2   3   5   6   7  9   11   12   13   14   16   17   19  20

The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

Quartile 3 is 16,

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

The upper half is

12   13   14   16   17   19   20, the median of these numbers is 16 so Quartile 3 = 16

The maximum is the greatest value in a data set.

Ordering the data from least to greatest, we get:

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So, the maximum is 20.

Answer: \(x=n\pi +(-1)^n\dfrac{\pi}{6}\), \(x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)\)

Step-by-step explanation:

Given

\(\sin x-\sqrt{1-3\sin^2x}=0\)

Take the square root term to the right-hand side

\(\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}\)

for

\(\sin x=\dfrac{1}{2}\)

\(x=n\pi +(-1)^n\dfrac{\pi}{6}\)

for

\(\sin x=\dfrac{-1}{2}\)

\(x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)\)

Answer:

volume = 360 inches³

Step-by-step explanation:

The can itself is a cylinder. The volume of a cylinder can be calculated as follows

volume of a cylinder  = πr²h

where

r = radius

h = height

1/3 of the height was cut off that means  1/3 × 12 = 4 inches of the height was cut off.  The new height of the can will be 12 - 4 = 8 inches. Therefore,

volume = πr²h =

base area which is the area of a circle = πr² = 45 inches²

volume = 45 × 8

volume = 360 inches³

Answer:

Base area=5*12=60

Height is 4

Perimeter or the base is 2*(12+5)=34

Surface area is 2B+Ph=120+136=256

Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

Antonio, as you can see in the table, the number of students that have a car is 60 and the total of students that were surveyed is 94.

How can you calculate the percentage then?:

Percentage = 60/94 * 100

And that is the answer.

The grams of agarose required to prepare a 0.8% (w/v) agarose solution is 0.48 grams.

To make a 0.8% (w/v) agarose solution in 1x TAE, you will need to calculate the grams of agarose required using the formula:

Grams of agarose = (volume of solution in ml) x (percentage of agarose solution)

In this case, the volume of solution is 60 ml and the percentage of agarose solution is 0.8%.

Grams of agarose = (60 ml) x (0.8%)

Grams of agarose = (60 ml) x (0.008)

Grams of agarose = 0.48 g

In conclusion, you will need 0.48 grams of agarose to make 60 ml of a 0.8% (w/v) agarose solution in 1x TAE.

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EXPLANATION:

We are given a parabola which opens downwards as shown in the question.

To determine the intervals over the graph/function increases and decreases, we will need to study carefully the movement of the graph along the y-axis. As the graph rises along the y-axis, the corresponding x-values of the increasing region will be our intervals. The same procedure will be used to determine the interval of decrease.

Let us now study the movements of the curve;

Notice that the graph rises and reaches a maximum at the point where;

This means it rises from all x values less than 3 and does not rise beyond 3. Therefore;

After that it begins to fall continuously. That means the graph decreases at every x value after 3, that is;

Therefore,

ANSWER:

Answer:

2.5

Step-by-step explanation:

You can change the equation from multiplication to division to get rate or time. We need the rate, so the equation should look like this now:

\(Distance/Time=Rate\)

Now, we need to plug in the numbers we have...

\((5)/(2)=Rate\)

...and solve for Rate:

\(Rate=2.5\)

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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We have 4 rational numbers which we are asked to express in decimal numbers.

To do this, we divide the numerator of each rational number by its denominator, when we do that, we get the following results:

Answer:

19/18

Step-by-step explanation:

substitute the value of m(11/6) in m-7/9

which is equal to 11/6 -7/9 =19/18

Answer:

P(A) = 86 / 265

P(B) = 39 / 153

P(C) = 243 / 326

Note:

Missing data as follow

Number of children    No job      Part-time      Full-time     Total

0                                      16                39                98            153

1                                       86               59                126           271

2                                      163              80                83             326

Total                                265             178               307           750

Computation:

P(A) = 86 / 265

P(B) = 39 / 153

P(C) = (163 + 80) / 326 = 243 / 326

Answer:

22.6796 kg.

Step-by-step explanation:

The answer is 22 i am sure about this

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

\(\displaystyle \log\frac{1000z^2y^{\frac{1}{2}}}{(x+1)^2}\) OR \(\displaystyle 3+\log\frac{z^2y^{\frac{1}{2}}}{(x+1)^2}\)

Choose the more appropriate answer

Step-by-step explanation:

I read your problem as \(3+2\log z-\log(x^2+2x+1)+\frac{1}{2}\log y\):

\(\displaystyle 3+2\log z-\log(x^2+2x+1)+\frac{1}{2}\log y\\\\\log1000+\log z^2-\log(x+1)^2+\log y^{\frac{1}{2}}\\\\\log1000z^2-\log(x+1)^2+\log y^{\frac{1}{2}}\\\\\log\frac{1000z^2}{(x+1)^2}+\log y^{\frac{1}{2}}\\\\\log\frac{1000z^2y^{\frac{1}{2}}}{(x+1)^2}\)

The following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

Given :

the values f ( x ) of a function f can be made arbitrarily large by taking x sufficiently close to 1 but not equal to 1.

Function :

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and a co - domain.

x sufficiently close to 1 means x → 1

but x ≠ 1.

so function = \(\lim_{x \to \1} _1\) f ( x ) = ∞

Therefore the following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

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