One thing we know for certain, much like the outrageous monsters we conjure in our worst nightmares, the deep ocean is an equally imaginative source of shock, awe, and outright fright.


What is the purpose of this sentence in the paragraph?

a

To connect two supporting ideas

b

To compare two unrelated creatures

c

To introduce a new topic and point

d

To summarize the main point of the article

Hope u can see it : )

Answer:

6

Step-by-step explanation:

It may be confusing to see why it would 6 instead of -6. The missing value in the X already includes the negative symbol. So if the 6 was the X value, then the negative sign would apply to the 6 making it - 6. The results would be:

⇒ [tex]-x = -6[/tex]

⇒ [tex]-6=-6[/tex]

it's 3 calories per grape

57/19= 3

Answer: 3 calories per grape

Step-by-step explanation:

ur welcome

Answer:

10 of spades

Step-by-step explanation:

4*9=36

so 9 groups of 4 is 36 cards and 2 more is 38

first is heart then spade

Answer:

12.5 unit square

Step-by-step explanation:

The area of a trapezoid is calculated with the following formula:

(b1 + b2)*h/2 (b1: base, b2: base, h: height)

(4+6)*(2.5)*2 = 12.5

Answer:

c

Step-by-step explanation:

Answer:

At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the ...

Step-by-step explanation:

Answer:

61/2

Step-by-step explanation:

The first thing we must do for this case is to calculate the area of both yards.

We have then:

front yard:

A1 = (50) * (80)

A1 = 4000 feet ^ 2

Back yard:

A2 = (10) * (30)

A2 = 300 feet ^ 2

"Jayden wants to lay sod on his front yard and on half of his back yard"

Then, the total amount will be:

A = A1 + (1/2) A2

Substituting:

A = 4000 + (1/2) (300)

A = 4000 + 150

A = 4150 feet ^ 2

Answer:

jayden needs to purchase 4150 square feet of sodd

Answer:

Its an area equation. Area is length times width.

So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.

Now for the easy part. Take the 4000 and add 200. Answer? 4,200.

Answer: $82

Step-by-step explanation:

F - .15F = 12.30

F = 12.3/.85 =$14.47 for full shoe price rounded down a fraction of a cent

Full Price minus 15% discount = $12.30

F - 0.15F = 12.30

F(1-0.15) = 12.30

0.85F = 12.30

Overall answer --->F = 12.30/.85 = 14.47058824

Answer: the answer is 440 cm sq

Step-by-step explanation: since the formula is a+b/2 x h

where a is 19 cm ,

b is 25 cm and

h is 20 cm

Answer:

It would be 1/4 or 25%

Step-by-step explanation:

done this before

Answer: 1/3

Step-by-step explanation:

The correct answer to this question is a 1/3.

Hope this helps a lot of people (please like and give brainliest)!

Answer: feet: 1, 2, 3, 4, 5

         inches: 12, 24, 36, 48, 60

Step-by-step explanation:

There are 12 inches in a foot, therefore if you have 1 foot you have 12 inches, if you have 2 feet you have 24 inches becauase 2*12 = 24 and so on...

Answer:

x

Step-by-step explanation:

angle bac and bca need to be acute and similar in size and angle abc needs to be an obtuse angle. This is the only triangle where angle abc is obtuse.

Answer:

Is not evenly divisible by 382

Step-by-step explanation:

would equal 47.75 (THIS IS ASSUMING DECIMALS ARE NOT EVENLY DIVISLBLE!!!!)

Answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx \approx \boxed{0.862854}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Integration

Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Methods: U-Substitution and U-Solve

Special Integrals:

Step-by-step explanation:

*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.

Step 1: Define

Identify given.

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Step 4: Integrate Pt. 3

Step 5: Integrate Pt. 4

Identify variables for u-substitution for the 1st integral.

Use another variable besides u to avoid confusion with earlier substitutions.

Step 6: Integrate Pt. 5

Solve the 1st integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int\limits^{x = 1}_{x = 4} {\cos (u - e)} \, du & = \int\limits^{x = 1}_{x = 4} {\cos v} \, dv \\& = \sin v \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (u - e) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (x) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin 1 - \sin 4\end{aligned}[/tex]

Step 7: Integrate Pt. 6

To solve the 2nd integral, we use the same methods as "Step 6":

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \int\limits^{x = 1}_{x = 4} {\frac{\sin e \sin u + \cos e \cos u}{u}} \, du \\& = \sin e \int\limits^{x = 1}_{x = 4} {\frac{\sin u}{u}} \, du + \cos e \int\limits^{x = 1}_{x = 4} {\frac{\cos u}{u}} \, du \\& = \sin (e) \text{Si} (u) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (u) \bigg| \limits^{x = 1}_{x = 4} \\\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \sin (e) \text{Si} (x + e) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (x + e) \bigg| \limits^{x = 1}_{x = 4} \\& = \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) \bigg] + \bigg[ \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\\end{aligned}[/tex]

Step 8: Integrate Pt. 7

Combine our 2 integral values to obtain a final answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^{x = 1}_{x = 4} {\cos ( u - e)} \, du - e \int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du \\\begin{aligned}& = \sin 1 - \sin 4 - e \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) + \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\& \approx \boxed{0862854} \\\end{aligned}[/tex]

∴ we have evaluated the given special definite integral.

---

Learn more about integration: https://brainly.com/question/27746472

Learn more about Calculus: https://brainly.com/question/27746481

---

Topic: Calculus

Answer:

109.17030567685

Step-by-step explanation:

41.68x+2000=60x

-41.68x -41.68x

2000=18.32x

/18.32 /18.32

109.17030567685=x

Answer:

70 years

Step-by-step explanation:

28 cm more to reach 1 meter (100 cm)

  28 cm / 4 mm/year =

   280 mm   /   4mm/year = 70 years

Step-by-step explanation:

we are using the right triangle altitude theorem. it means that in a right-angled triangle the geometric mean of the two segments of the Hypotenuse (the baseline opposite of the 90° angle) equals the altitude.

in other words

h² = p×q

h = height

p, q are the 2 segments of the Hypotenuse.

so, in our case we have

100 = x(x + 21) = x² + 21x

that gives us the following quadratic equation

x² + 21x - 100 = 0

the general solution to a quadratic equating is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 21

c = -100

so,

x = (-21 ± sqrt(21² - 4×1×-100))/(2×1) =

= (-21 ± sqrt(441 + 400))/2 = (-21 ± sqrt(841))/2 =

= (-21 ± 29)/2

x1 = (-21 + 29)/2 = 8/2 = 4

x2 = (-21 - 29)/2 = -50/2 = -25

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

that makes the segments of the Hypotenuse 4 and (4+21) = 25 units long (the whole baseline is then 4+25 = 29).

Answer: this answer is A

Step-by-step explanation:

Length: Length, Width:Width

Answer:

9 in

Step-by-step explanation:

Side DE is equivalent to side KG

Answer:

1. 71^3 = 71 * 71 * 71 = 357,911

2. 52^4 = 52 * 52 * 52* 52 = 7,311,616

3. 99^5 = 99 * 99 * 99 * 99* 99 = 9,509,900,499

4. 78^4 = 78 * 78* 78* 78 = 37,015,056

5. 8^2 = 8 * 8 = 64

6. 80^5 = 80 * 80 * 80 * 80 * 80 = 3,276,800,000

7. 98^1 = 98 = 98

8. 15^1 = 15 = 15

9. 7^3 = 7 * 7 * 7 = 343

10. 55^4 = 55 * 55 * 55 * 55 = 9,150,625

11. 67^1 = 67 = 67

12. 50^4 = 50 * 50 * 50 * 50 = 6,250,000

Answers:

1)  71^3 = 71 * 71 * 71 = 357,911

2)  52^4 = 52 * 52 * 52* 52 = 7,311,616

3)  99^5 = 99 * 99 * 99 * 99* 99 = 9,509,900,499

4)  78^4 = 78 * 78* 78* 78 = 37,015,056

5)  8^2 = 8 * 8 = 64

6)  80^5 = 80 * 80 * 80 * 80 * 80 = 3,276,800,000

7)  98^1 = 98 = 98

8)  15^1 = 15 = 15

9)  7^3 = 7 * 7 * 7 = 343

10)  55^4 = 55 * 55 * 55 * 55 = 9,150,625

11)  67^1 = 67 = 67

12)  50^4 = 50 * 50 * 50 * 50 = 6,250,000

Answer:

18 degrees

Step-by-step explanation:

6 hours times 3 Fahrenheit every hour is 18 Fahrenheit

Answer: 5 1/2 pies as a mixed number, 11/2 as an improper fraction, 5.5 as a decimal, 550 as a percent  

Step-by-step explanation:

2x5+1         11

-----------=    -----

2                  2

The fraction 5 1/2 is equal to 5, plus 1 divided by 2 which is equal to 5, plus 0.5 which is equal to 5.5 in decimal

5.5 x 100 = 550 percent

Given statement: Susan is buying 5 and a half pies from the market.

We already know:

Therefore, the number of pies Susan bought is;

∴ Half can be written as ½

If a whole number is being added to a fraction, we can combine them to convert the sum into mixed fraction.

Therefore, 5 ½ is the fraction of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In mixed fraction: Susan is buying 5 ½ pies from the market.

To convert the mixed fraction of pies into improper fraction, simply multiply the whole number by the denominator and add the numerator to the product of the whole number and the denominator. The denominator in the mixed fraction will remain the same in the denominator.

Therefore, 11/2 is the fraction of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In improper fraction: Susan is buying 11/2 pies from the market.

Clearly, we can rewrite 11/2 as;

10/2 results in getting 5 and 1/2 results in getting 0.5. Therefore,

Therefore, 5.5 is the decimal of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In decimal: Susan is buying 5.5 pies from the market.

Simply multiply the decimal by 100 to determine the percentage of pies bought by Susan.

⇒ 5.5 pies = 5.5 x 100% = 550%

Therefore, 550% is the percent of pies, Susan bought.

Answer:

6

Step-by-step explanation:

so if she has $65 and she spent 38.50 you find the difference which is   $26.50 then you divide it by 4 which is 6.62 so yes your right its 6 if you round it

Answer:

6 boxes.

Step-by-step explanation:

65 ≥ 38.50 + 4x    where x is the number of boxes of mints.

65 - 38.50  ≥ 4x

(65-38.40/ 4 ≥ x

x  ≤ 6.625

so the answer is 6 boxes.