What number is 20 less than 150% of 80

we are required to demonstrate that we understand what represents a function and what does not represent a function by writing a paragraph which can be given as:

We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.

For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.

We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.

[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]

The graphs of [tex]sec(x)[/tex] can be obtained from  the graph of the cosine function using the reciprocal identity, so:

[tex]sec(x)=\frac{1}{cos(x)}[/tex]

But in this problem, the graph stands for the function:

[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]

Because the period is now 4π as indicated and for [tex]x=0[/tex] in the figure and this can be proven as follows:

[tex]Period=\frac{2\pi}{\frac{1}{2}}=4\pi[/tex]

Also, [tex]for \ x=1 \ then \ y=3[/tex] as indicated in the figure and this can be proven as:

[tex]y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3[/tex]

Answer:

6 radius = 2π x 6

              = 12π

Step-by-step explanation:

Circumference of a circle

C = 2πr

here r is radius of circle and 2π is constant is we can say that circumference   of a circle is directly proportional to it's radius.

C ∡ r

Given in the question that circumference of a circle with a radius of 1 is 2π.

1 radius = 2π

6 radius = 2π x 6

              = 12π

Answer:

0.049

4.9 % of probability

Step-by-step explanation:

The probability of having the disease is equal to 7%

The probability of testing positive, having the disease is equal to 70%

We are looking for the probability of testing positive.

For that, we need to multiply the probabilities to find the result

P = (0.07)*(0.7)

P = 0.049

P = 4.9%

Answer:

Three of the boxes out of the eight are shaded.

So, 3/8 is .375 which is around 38%.

Hello there!

In this diagram, there are a total of 8 squares, and 3 of them are shaded. This means that 3/8 of them are shaded, and to find what percent this is, divide 3 by 8 and multiply what you get by 100.

3 divided by 8 = 0.375

0.375 x 100 = 37.5%.

37.5% is closest to 38%, so that is your answer!

I hope this helps and have a great rest of your day!

The answer is:

The area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

To solve the problem, we must consider that the shape is formed by two right triangles and a square, so, to calculate its area, we need to calculate the areas of the two triangles and square, and then, add them.

So, we are given the following information:

Smallest triangle:

[tex]base=2units\\height=2units[/tex]

Square:

[tex]base=2units\\height=2units[/tex]

Largest triangle:

[tex]base=4\\height=2[/tex]

Smallest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{2units*2units}{2}=2units^{2}[/tex]

Square:

We can calculate the area of a square using the following formula:

[tex]A=base*height[/tex]

So, substituting, we have:

[tex]A=2units*2units=4units^{2}[/tex]

Largest triangle:

We can calculate the area of a triangle using the following formula:

[tex]A=\frac{base*height}{2}[/tex]

So, substituting, we have:

[tex]A=\frac{4units*2units}{2}=4units^{2}[/tex]

Now, calculating the area of the entire shape, we have:

[tex]TotalArea=SmallestTriangleArea+SquareArea+LargestTriangleArea\\\\TotalArea=2units^{2} +4units^{2} +4units^{2} =10units^{2}[/tex]

Hence, the area of the shape is: [tex]10units^{2}[/tex]

[tex]TotalArea=10units^{2}[/tex]

Have a nice day!

Answer:56

Step-by-step explanation:

Answer: It is correctly simplified form.

Step-by-step explanation:

Since we have given that

[tex]-3m-[2x+(5-m)]+7[/tex]

We need to simplify the above expression:

[tex]-3m-2m-5+m+7\\\\=-5m+m+2(\text{gather the like terms})\\\\=-4m+2\\\\=2-4m[/tex]

So, [tex]-3m-[2x+(5-m)]+7=2-4m[/tex]

Hence, it is correctly simplified form.

7ab3

To find the GCF, find the number(s) that that have the highest multiple factor in common. The first numbers can all be divided by 7, there's 1 a in common, and 3 b's in common. Combine them since you have variables and numerical values to get 7ab3 .

The greatest common factor of 42a⁵b³, 35a³b⁴, and 42ab⁴ is,

⇒ 7ab³

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

We have to given that;

The numbers are,

⇒ 42a⁵b³, 35a³b⁴, and 42ab⁴

Now, We can formulate;

⇒ GCD {42, 35, 42 } = 7

⇒ GCD {a⁵, a³, a } = a

⇒ GCD {b³ , b⁴, b⁴} = b³

Thus, The greatest common factor of 42a⁵b³, 35a³b⁴, and 42ab⁴ is,

⇒ 7ab³

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The hypothesis of the given statement is that if pigs had wings, you could fly.

The hypothesis of the given statement is that if pigs had wings, you could fly.

This statement is an example of a hypothetical scenario, as pigs do not actually have wings. The hypothesis implies that if pigs did have wings, it would enable flight for humans.

It is important to note that this statement is purely hypothetical and does not reflect the reality of pigs having wings.

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Answer: Wow! That's a tough one, but x = 5 is the only possibility

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

She was on the bus for :20 before 3:00 and for :15 after 3:00, for a total of ...

:20 +:15 = :35

That is, 35 minutes.

___

There are 60 minutes in an hour. If you like, you can change an hour to 60 minutes and write the exit time as 3:15 = 2:75. Then you can perform the subtraction

2:75 -2:40 = 0:35

[tex] \frac{15t}{5} = \frac{2t + 3}{6} \\ 90t = 10t + 15 \\ 80t = 15 \\ t = 0.1875[/tex]

Answer:

(n/5)-8≤95

Step-by-step explanation:

The solution for the given problem is : [tex]\( n \leq 515 \)[/tex].

Sure, let's solve the problem step by step.

Given: [tex]\( \frac{1}{5}n - 8 \leq 95 \)[/tex]

To solve for [tex]\( n \),[/tex] we'll first add 8 to both sides of the inequality:

[tex]\( \frac{1}{5}n \leq 95 + 8 \)[/tex]

[tex]\( \frac{1}{5}n \leq 103 \)[/tex]

Now, we'll multiply both sides by 5 to isolate[tex]\( n \)[/tex]:

[tex]\( 5 \times \frac{1}{5}n \leq 5 \times 103 \)[/tex]

[tex]\( n \leq 515 \)[/tex]

So, the solution is[tex]\( n \leq 515 \)[/tex]

In conclusion, the solution to the problem is [tex]\( n \leq 515 \)[/tex]. We reached this conclusion by carefully manipulating the inequality step by step to isolate [tex]\( n \).[/tex] This process ensures that our solution is accurate and follows the rules of algebra.

Complete question:

8 less than the product of a number n and 1/5 is no more than 95

Answer:

The can contains 1.5 pints of fruit juice.

Step-by-step explanation:

A can contains 24 fluid ounces of juice.

We have to convert the amount of juice from ounce to pints.

As we know that 1 fluid ounces = [tex]\frac{1}{16}[/tex] pints or 0.0624 pints.

So 24 fluid ounces = 0.0625 × 24 =  1.5 pints.

Therefore, The can contains 1.5 pints of fruit juice.

The can contain 1.5 pints of fruit juice

A pint is equal to 16 fluid ounces. That is:

1 pint = 16 fluid ounces

To find out how many pints of juice the can contains, we need to divide the number of fluid ounces by the number of fluid ounces in a pint.

Thus, 24 fluid ounces  of juice in pint will be:

24/ 16  = 1.5 pints

Therefore, the can contains 1.5 pints of fruit juice.

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Answer: 0.31

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

60 divided by 4, is fifteen, and 1/15 is 4/60 simplified.

Answer: A is maybe the answer.

Step-by-step explanation:

For this case we must simplify the following expression:

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}[/tex]

Multiplying the numerator and denominator by[tex](\sqrt [3] {9}) ^ 2[/tex]

[tex]\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =[/tex]

We rewrite:

[tex]\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =[/tex]

By properties of powers we have that:

[tex]a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =[/tex]

We rewrite, moving the exponent within the radical:

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =[/tex]

We can rewrite[tex]3 * 3 ^ 3 = 81[/tex]

[tex]\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =[/tex]

We simplify:

[tex]\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =[/tex]

We apply distributive property:

[tex]\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =[/tex]

Simplifying we finally have:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

Answer:

[tex]2 \sqrt [3] {3} - \sqrt [3] {18}[/tex]

Answer:

She can complete 8 costumes

Step-by-step explanation:

Answer:

8 costumes

Step-by-step explanation:

Answer:

m = 116 and a = 105

Step-by-step explanation:

The angle m and 64 are supplementary angles because line of a straight line separated by another straight line. This means that m + 64 = 180, or m = 116.

The sum of all the angles in a quadralateral like this one is 360. So angle a = 360 - 89 - 50 - 116, or a =105.

Answer:

m=116  a=105

Step-by-step explanation:

there is 360 degrees inside a square, i found M by subtracting 180 - 64, because there is a 180 degree angle on a flat line and it showed the other side has 64 degrees, and since we know that m is 180-64=116, we can find A. take the total of degree of the inside of the square which is 360, and subtract all the other angle degrees from it to find the missing number. 360-89-50-116=A. A= 105 degrees.

im sorry if this made your problem more confusing, its hard to explain with words alone

Answer:

24

Step-by-step explanation:

X - 6 = 18

Add 6 to both sides

x = 24

Answer:

the answer is 24

Step-by-step explanation:

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

[tex]n(S) = 2^{10} \\= 1024[/tex]

Let A be the event that the tails appear 7 times:

Then,

[tex]C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\[/tex]

Converting into percentage:

[tex]P(A) = 0.1171*100=11.7%[/tex]

So, option C is correct ..

Answer:4.4%

Step-by-step explanation:just took it

answer. 35.7

explanation: bedmas is important in this question. subtract and divide in the brackets first. add the two numbers in the brackets second. multiply the 8.9 by the 3. then add the 9 to the 26.7

Answer:

35.7

Step-by-step explanation:

9 +[(4.2- 3.3)+(6.4/0.8)] x 3

(4.2- 3.3) = 0.9

(6.4/0.8) = 8

9 + (0.9 +80) × 3 = 9 + 8.9 × 3

                            = 9+26.7

                             = 35.7

330(1.15)^12=1765.58

The population of rabbits grew continuous compounding so formula for continuously compounded will apply.

The rabbits were in the park after 12 years is 1,996 rabbits.

Given:

The population of rabbit is [tex]P=330[/tex].

The rabbit increasing rate is [tex]r=15\%[/tex].

Time is [tex]t=12\:\rm year[/tex].

Apply the formula for continuously compounded to calculate the number of rabbit after 12 year.

[tex]A=Pe^{rt}[/tex]

Substitute the value.

[tex]A=330.00(2.71828)^{(0.15)(12)}\\A=1,996.38 \\A\approx1996[/tex]

Thus, the rabbits were in the park after 12 years is 1,996 rabbits.

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Answer:

(6,10)

Step-by-step explanation:

Used a calculator

the answer would be d because it goes down 2 and over 1

The answer is d because of the y intercept is -1 and the slope is -2 according to y=mx+b

Step-by-step explanation:

One quart equals to Two pints.

As a result to find the number of quarts that equal a certain number of pints you multiply number of quarts by 2

FORMULA= (P=Q×2)

1Q=2P

2Q=4P

3Q=6P

4Q=8P

Answer B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

5x + 6 - 2 = 9, that is

5x + 4 = 9 ( subtract 4 from both sides )

5x = 5 ( divide both sides by 5 )

x = 1 → A

Answer:

carry over the three means to add i hope you are happy

Step-by-step explanation:

Answer: Usually you have to find the value of X, for example if 9 - x = 5, then you have to subtract 5 from the nine and you get 4, and when you carry three over that means you have to regroup, for example

902 +

459

so 9+2=11, so you put 1 right there

902 +

459

.....1

and you carry the other 1 next to the 0, then it will become 10 + 5,

hope this helps, if you still don't get it tell me

Step-by-step explanation:

+

Answer:

A.

Step-by-step explanation:

That's what I would say, at least.