What’s 22,000 - 407% of 60?

Let a (n) denote the n-th term of the given sequence.

Check the forward differences, and denote the n-th difference by b (n). That is,

b (n) = a (n + 1) - a (n)

These so-called first differences are

b (1) = a (2) - a (1) = 25 - 7 = 18

b (2) = a (3) - a (2) = 51 - 25 = 26

b (3) = a (4) - a (3) = 85 - 51 = 34

b (4) = a (5) - a (4) = 127 - 85 = 42

Now consider this sequence of differences,

18, 26, 34, 42, …

and notice that the difference between consecutive terms in this sequence b is 8:

26 - 18 = 8

34 - 26 = 8

42 - 34 = 8

and so on. This means b is an arithmetic sequence, and in particular follows the rule

b (n) = 18 + 8 (n - 1) = 8n + 10

for n ≥ 1.

So we have

a (n + 1) - a (n) = 8n + 10

or, replacing n + 1 with n,

a (n) = a (n - 1) + 8 (n - 1) + 10

a (n) = a (n - 1) + 8n + 2

We can solve for a (n) by iteratively substituting:

a (n) = [a (n - 2) + 8 (n - 1) + 2] + 8n + 2

a (n) = a (n - 2) + 8 (n + (n - 1)) + 2×2

a (n) = [a (n - 3) + 8 (n - 2) + 2] + 8 (n + (n - 1)) + 2×2

a (n) = a (n - 3) + 8 (n + (n - 1) + (n - 2)) + 3×2

and so on. The pattern should be clear; we end up with

a (n) = a (1) + 8 (n + (n - 1) + … + 3 + 2) + (n - 1)×2

The middle group is the sum,

[tex]\displaystyle 8\sum_{k=2}^nk=8\sum_{k=1}^nk-8=\frac{8n(n+1)}2-8=4n^2+4n-8[/tex]

so that

a (n) = a (1) + (4n ² + 4n - 8) + 2 (n - 1)

a (n) = 4n ² + 6n - 3

Answer:

Step-by-step explanation:

5/2 hours = 2 1/2 hours

2 1/2 hours = 120 minutes + 30 minutes = 150 minutes.

I don't know if he has more than 1 device or not. But if he does, then this time is the base and you just multiply by 2 1/2 for each device.

Answer:

Solution given:

a student typically spends 5/2 hours each week

research time does a student spend each device in 1 week=5/2=2hours and 30min=150minutes

Answer:

A = 35.42 yd²

Step-by-step explanation:

We need to find the area if the dimensions are given as 4.6 yd  and 7.7 yd.

The area of a rectangle shaped figure is given by :

A = lb

Where

l is length and b is the breadth

So, put all the values,

A = (4.6)(7.7)

= 35.42 yd²

So, the area of the figure is equal to 35.42 yd².

Answer:

The area of the shaded region of the figure in the exercise is:

Step-by-step explanation:

To obtain the area of irregular shapes, you can divide that shape in figure you know and you can obtain the area, first, we're gonna calculate the area of the right side and the left side with the formula below:

How the left rectangle and the right rectangle have the same measurements, we can say:

You can see in the center there is a rectangle too, but you need just a half formed by a triangle, you can use two form for this: calculating the area of the triangle or calculating the area of the whole rectangle and next to divide in 2, we're gonna use the first:

In the exercise, the base of the shaded triangle is 2.7 inches, and the height you must add the measurements in the right side:

Now we replace in the formula:

By last, you must add all the calculated areas from the shaded regions:

Answer:

58°

Step-by-step explanation:

A flat angle equals 180°, so we can simply subtract the given angle from the total, 180.

180 - 122 = 58

So, ∠CDE = 58°.

Good luck n.n

Answer:

58°

Step-by-step explanation:

∠AEC =∠AED+∠CED

So,

∠AEC=180°

∠AED=122°

∠CED=?

∠AEC =∠AED+∠CED

180°=122°+∠CED

∠CED=180°-122°

∠CED=58°

Answer:

d radias

Step-by-step explanation:

The another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

The circumference of the circle is the length of its boundary. It can found out using the following formula,

[tex]P=2\pi r[/tex]

Here, (r) is the radius of the circle.

Thus, the another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

Learn more about the circumference of the circle here;

https://brainly.com/question/402655

Answer:

9

Step-by-step explanation:

10 subtract 1 is 9.

Given:

10 people ate pie

1 person ate cake

No of people who ate the pie than the cake

10-1 =9

Answer:

20 adults

100 Children

Step-by-step explanation:

Answer: 20 adults and 100 children

Step-by-step explanation:

a = adults, c = children

120 = a + c

c = 5a

120 = a + 5a

120 = 6a

20 = a

20 times 5 is 100 so 100 children

Answer:

5x^2 + 2

Step-by-step explanation:

pretty sure

Answer:

6.25

Step-by-step explanation:

x+2=5x

2= -x+5x

2=4x

2/4=4x/4

1/2=x

Plug into formla of rectangel: L*W

L= 5(0.5)= 2.5

W= 0.5+2 = 2.5

L*W= 2.5*2.5 = 6.25

Answer:

75

120

Step-by-step explanation:

Let the first mechanic's hourly rate = x

Let the second mechanic's hourly rate = y

x + y = 195

15x + 5y = 1725        Divide this equation by 5

3x + y = 345             Write the first equation below this one. Subtract

x   + y = 195

2x = 150                    Divide by 2

x = 150/2

x = 75

====================

x + y = 195

75 + y = 195

y = 195 - 75

y = 120

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Answer:

916.1 cm^3

Step-by-step explanation:

1) find the radius of the cylinder:

radius = dimater / 2 = 7,3 / 2 = 3.65 cm

2) find the base area of the cylinder:

base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2

3) find the height of the cylinder:

height = 7.3 x 3 = 21.9 cm

4) find the volume

V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3

5) round to nearest tenth:

916. 1 cm^3

Answer:

20 = 4n

n = 5

Step-by-step explanation:

Given that :

Number of gifts Keiko wrapped = 20

Let number of gifts wrapped by Henry = n

Keiko wrapped 4 times as many gifts as Henry

Hence,

20 = 4n

The equation that relates the number of gifts wrapped is :

20 = 4n

To obtain n ;

Divide both sides by 4 to isolate n

20/ 4 = 4n / 4

5 = n

Hence,

n = 5

Answer:

je -parle

tu - parles

il/elle/on - parle

nous - parlons

vous - parlez

ils/elles - parlent

Answer:

Verbs with infinitives ending in -er form a second group of regular verbs in Spanish, often called second conjugation verbs.

Step-by-step explanation:

To conjugate these verbs in the present tense, drop the -er from the infinitive and add the second conjugation present tense endings: -o, -es, -e, -emos, -en.

Answer:

1.81

Step-by-step explanation:

the reason is because many may think by using a calculator, and make a mistake by putting 15.6 x 11.6, and think "Oh its 180.96" but they forget that they are multiplying cents, but with money you round the nearest decimal to a cent, so they get 1.81

15.6 x 11.6 = 180.96

flip it and jump the 1 a single spot to the left. (1 80.96)

Now jump the decimal between the 1, and the 8. (1.8096)

Now round the thousandth and ten thousandth to remove the zero and make it one. (1.8096= 1.81)

And that's how you get 1.81

if i'm wrong I need to go back to 5th grade and learn my money and decimals semester.

Answer:

I got 3 hours and 10 minutes

Step-by-step explanation:

If you continuously add numbers in decimal form you will find the answer also.

But also another way in order to find a time answer you could also subtract

7.50-4.40= 3.10

or just 3.1 in this case.

But in a time frame always add the 0 to it.

So 3 hours and 10 minutes!

I think so indeed.

Answer:

2/3

two thirds

0.666666666

Step-by-step explanation:

please mark this answer as brainliest

Answer:

16 3/4=[16×4+3]/4=67/4 is your answer

Basically, you have to understand the logic of a function.

If I plug in a value into V that represents the value of a milling machine, if I simplify the equation, I will be able to find x, the corresponding time to the value of the milling machine.

Knowing this logic, we can plug in $450,000 and $480,000, and then we will have two x-values. Then we can just find the range of the x-values to find our answer! :)

Let's go.

V = 750,000 - 120x

Plugged in 450,000 for V so now we can simplify the equation and find out what is the corresponding x-value for this value at this certain time.

450,000 = 750,000 - 120x

-450,000  -450,000

0 = 750,000 - 120x

+120x on both sides to isolate x

120x = 300,000

x = 2500

So, our first x-value in the range is 6250 hours. Now, let's plug in the larger value to find out the other x-value in the range.

V = 750,000 - 120x

480,000 = 750,000 - 120x

-480,000  -480,000

0 =  270,000 - 120x

Add 120x on both sides to isolate x

120x = 270,000

x = 2250

So, we found 2250 and 2500. So, the range of hours it corresponds to is 2250-2500.

Answer:

C for the first one

1,6 for the second

Neither for the third

Step-by-step explanation: EDGE 2021

Answer:

The first Question is C

Question 2 is 1,6

Question 3 is Neither

Step-by-step explanation:

trust me I took the quiz

Answer:

$17.50

Step-by-step explanation:

multiply 25 and 30, the divide the answer by 100, the deduct that result from the original price

Answer:

The length of the vector is of [tex]\sqrt{194}[/tex]

The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

Step-by-step explanation:

Vector from point P(3,-5,2) to Q(-5,4,9)

The vector is:

[tex]PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)[/tex]

The length is:

[tex]\sqrt{8^2+9^2+7^2} = \sqrt{194}[/tex]

The length of the vector is of [tex]\sqrt{194}[/tex]

Find a unit vector with the direction of PQ

We divide each component of vector PQ by its length. So

[tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]

Answer:

Your source water comes from the Detroit River, situated within the Lake St. Clair, Clinton River, Detroit River, Rouge River and Ecorse River watersheds in the U.S., and parts of the Thames River, Little River, Turkey Creek and Sydenham watersheds in Canada.

Step-by-step explanation:

please mark this answer as brainliest

6.55 months? i dont know for sure but i tried

Answer:

Total surface area of cone = 578.28 unit²

Step-by-step explanation:

Given:

Slanted Hight of cone = 15 unit

Radius of cone = 8 units

Find:

Total surface area of cone

Computation:

Total surface area of cone = πr[l + r]

Total surface area of cone = (22/7)(8)[15 + 8]

Total surface area of cone = (22/7)(8)[23]

Total surface area of cone = (22/7)(184)

Total surface area of cone = 4,048 / 7

Total surface area of cone = 578.28 unit²

The number of the same coin that she has will be 6.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

648

Step-by-step explanation:

FInd volume of bottom half (9x6x12)

find voume of pyramid 1/3Bh 1/3(11)(54)

Answer:

item total cost: 4.19