Help please!
Find the area of the trapezoid. Leave your answer in the simplest radical form. The figure is not drawn to scale.

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:

(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:

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:

+

[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:

x=27

Step-by-step explanation:

Without the arrow crossing through that right angle, it would equal 90 degrees. Since it's cut in half, each part equals 45 degrees. A straight line equals 180 degrees. 3×27=81 and 81+9=90. 90+90=180 :)

ANSWER

A.) y = tan x

C.) y = cot x

EXPLANATION

The period refers to the interval over which the graph completes one cycle

The trigonometric functions

[tex]y = \tan(x) [/tex]

and

[tex]y = \cot(x) [/tex]

are reciprocals of each other.

They have the same period, which is π

Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.

They have periods of 2π

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. 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

Answer:

A.

Step-by-step explanation:

That's what I would say, at least.

Answer:

She can complete 8 costumes

Step-by-step explanation:

Answer:

8 costumes

Step-by-step explanation:

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

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.

https://brainly.com/question/6984886

#SPJ2

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.

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:

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:

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.

Learn more about fluid ounces on:

https://brainly.com/question/14929476

#SPJ6

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

D)14

EXPLANATION

The linear function includes the ordered pairs (2,5), (6,7) and (k,11).

The slope of this line is the same for any two given points:

[tex] \frac{7 - 5}{6 - 2} = \frac{11 - 7}{k - 6} [/tex]

[tex]\frac{2}{4} = \frac{4}{k - 6} [/tex]

Cross multiply,.

2(k-6)=4×4

2(k-6)=16

Divide both sides by 2

k-6=8

k=8+6

k=14

Answer:

Option D will be the answer.

Step-by-step explanation:

y intercept form of a line is represented by y = mx + c

Where m = slope of the line and c = y- intercept of the line.

A line passing through two points (2, 5) and ( 6, 7) has the slope

m = [tex]\frac{y-y'}{x-x'}[/tex]

   = [tex]\frac{7-5}{6-2}[/tex]

  = [tex]\frac{2}{4}[/tex]

  = [tex]\frac{1}{2}[/tex]

Equation will be y = [tex]\frac{x}{2}+c[/tex]

This line passes through (2, 5)

5 = [tex]\frac{1}{2}\times 2+c[/tex]

c = 5 - 1

c = 4

And the equation will be y = [tex]\frac{1}{2}x+4[/tex]

Since a point (k 11) passes through the line then we will plug in these values in the equation to find the value of k.

11 = [tex]\frac{1}{2}\times k+4[/tex]

11 - 4 = [tex]\frac{k}{2}[/tex]

7 = [tex]\frac{k}{2}[/tex]

k = 2×7

  = 14

Option D will be the answer.

Answer B

Step-by-step explanation:

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.

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:

Answer:

If a car can go 200 miles in 6 hours at a constant rate, in 7 hours it will have gone 233.33 (0.33 repeating) miles.

Step-by-step explanation:

If a car can go 200 miles in 6 hours, then we know it can go about 33.33 miles per hour (found by dividing 200 by 6).

If the car is going at this constant rate we can then multiply 33.33 by 7, which would give us 233.33.

The car can go 233.33 miles in 7 hours

A comparison of two entities by dividing them is called Proportion and when two ratios are equated to one another , they are said to be in proportion.

It is given in the question that

a car can go 200 miles in 6 hours

Distance covered in 7 hours

In the given question the ratio of Distance covered and time is

200/6 = 100/3 = 100:3

Let the distance covered in 7 hours is x

therefore the ratio will be x : 7

These two ratios will be in proportion

100:3 = x: 7

100/3 = x / 7

x = 100 * 7 / 3

x = 700 / 3

x = 233.33 miles

Therefore The car can go 233.33 miles in 7 hours .

To know more about Ratio and Proportion

https://brainly.com/question/26974513

#SPJ2

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.

Learn more about continuously compounded here:

https://brainly.com/question/7975187

FCH - NPM

PNM - CFH

HF - MN

NP - FC

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

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 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

Answer:

(6,10)

Step-by-step explanation:

Used a calculator

Answer:

[tex]\large\boxed{x>-3\to x\in(-3,\ \infty)}[/tex]

Step-by-step explanation:

[tex]7x+6(x+10)>5(-3-3x)+3x\qquad\text{use the distributive property}\\\\7x+(6)(x)+(6)(10)>(5)(-3)+(5)(-3x)+3x\\\\7x+6x+60>-15-15x+3x\qquad\text{combine like terms}\\\\(7x+6x)+60>(-15x+3x)-15\\\\13x+60>-12x-15\qquad\text{subtract 60 from both sides}\\\\13x>-12x-75\qquad\text{add 12x to both sides}\\\\25x>-75\qquad\text{divide both sides by 25}\\\\x>-3[/tex]

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