find the common difference of the arithmetic sequence -2, -11/4, -7/2

Answer:

Yes it is

Step-by-step explanation:

Because 4 ×-2=-8

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

1.6 hours

Step-by-step explanation:

Number of opening hours a day = 8

Number of groups = 5

Dividing the number of opening. Hours equally among the 5 groups :

8 hours / 5

= 1.6 hours per group per day

Answer:

≈ 2,826 cm^3

Step-by-step explanation:

V = πr^2h

V = 3.14 · 10^2 · 9

V = 3.14 · 100 · 9

V = 314 · 9

V = 2,826

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

_

z = a-bi

i think this is the answer

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

x=2

Step-by-step explanation:

[tex] - 2 + 4 = 2[/tex]

Answer:

745,000

Step-by-step explanation:

200,000x.03= 6000

150,000x.025=3,750

Commission.    2,350

total.                12,100

total fees.            20,000

less above.           12,100

=.remaining fees    7,900

divide by .02(2% commission)

=remaining sales price 395,000

tier 1 200000

tier 2 150000

tier 3 395,000 (calculated above)

=.       745,000 sales price

Answer:

Uh, sure! :)

Step-by-step explanation:

Answer:

32.9 degrees

Step-by-step explanation:

cos (x) = 21/25

cos^1 (21/25)

= 32.856 --> round to 32.9

Answer:

32.9°

Step-by-step explanation:

You can see that relative to the angle that is x, we are given the side lengths that are adjacent and the hypotenuse. The trig function associated with this is cosine, and we get:

cos(x) = adj / hyp --> 21 / 25

To find x as the angle, we use the function arccosine,

x = arccosine(21/25)

x = 32.85988038°

And this rounds up to 32.9°

Answer:

Checks are slips of paper that are used to transfer money from your banking acccount to anothers. You can ask for a checkbook at you local bank, and fill out the required information to be eligible.

You have to fill out your name, which person its going to, the memo (why you are filling out the check), and finally the amout the other person is going to recieve. Once you recieve a check you must go to the bank to either cash out the check (get the amount of cash that was writen on the check), or put the aout of money in your bank ccount.

Sorry if im wrong!

Have a good day! <3

Step-by-step explanation:

Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Answer:

I speak english srry

Step-by-step explanation:

Answer: [tex]x=-21, y=-33[/tex]

[tex]x-y=12,\\18x-12y=18 ( divide by 6)\\3x-2y=3, 2nd Eq.\\multiply- first -equation by 2\\\\2x-2y=24, 1st Eq.\\subtract-the- second -equation- from -first\\2x-3x=24-3,\\-x=21 or x=-21,\\\\substitute-the-value-of -x\\-21-y=12,\\y=-21-12= -33\\[/tex]

Step-by-step explanation:

Answer:

A. y ≥ 2x – 2

Step-by-step explanation:

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

1) C: 113 m

2) C: 572.3 m²

3) B: 61.2 cm²

4) A: $2.2

6) C: 756 yd³

8) D: 3402 mm²

9) A: 25x + 125 < 500

Step-by-step explanation:

1) Formula for circumference of circle is;

C = 2πr

radius; r = 18 m

C = 2π × 18

C ≈ 113 m

2) Formula for area of a circle is;

A = πr²

Here we have diameter; d = 27

Thus, radius; r = 27/2 = 13.5 m

A = π × 13.5²

A = 3.14 × 13.5²

A ≈ 572.3 m²

3) The diameter of the semicircle is parallel to the base of the rhombus. Thus, diameter; d = 7 cm

Thus, r = 7/2 = 3.5 cm

Area of semi circle = ½πr² = ½ × π × 3.5² = 19.2 cm²

Area of rhombus = base x height = 7 × 6 = 42 cm²

Total area of object = 42 + 19.2 = 61.2 cm²

4) Cost of banana per pound = $0.4 per pound

Amount of banana bought = 5.5 pound

Amount spent = 0.4 × 5.5 = $2.2

6) Volume of triangular prism is;

V = ½bhl

b = 12 yd

h = 7 yd

L = 18 yd

Thus;

V = ½ × 12 × 7 × 18

V = 756 yd³

8) Volume of cuboid at the base;

V1 = lbh = 25 × 9 × 9 = 2025 mm²

Volume of cuboid at top;

V2 = 9 × 9 × 9 = 729 mm²

Volume of triangular prism;

V3 = ½bhl = ½ × 9 × 9 × (25 - 9) = ½ × 81 × 16 = 648 mm²

Total volume = 2025 + 729 + 648 = 3402 mm²

9) Cost per class; $25 per class

Charge for the supplies = $125

He doesn't want to spend more than $500.

Thus;

25x + 125 < 500

Step-by-step explanation:

The top and bottom horizontal lines are 11 units long and the left and right vertical lines are 9 units long. Dilating the logo by a factor of one-half means that these lengths will grow longer by 50%. Hence the horizontal lines will get longer by 5.5 units and vertical lines will grow longer by 4.5 units. The diagonals should also increase in length accordingly.

Answer:

36 1/4 in³

Step-by-step explanation:

v = 3 5/8 * 2 1/2 * 4

Convert to improper fractions

v = 29/8 * 5/2 * 4/1

Cancel

v = 29/2 * 5/2 * 1/1

Multiply

v = 145/4

Reduce

v = 36 1/4 in³

Answer:

C = 25 + 3n

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions.

We are told that:

Andy earns $25 per week plus $3 for every subscription he sells.

Let us represent

C = Total amount of money he makes this week

n = the number of magazine subscriptions Andre sells this week.

Hence, Our Algebraic expression =

C = $25 + $3 × n

C = 25 + 3n

Answer:

c

Step-by-step explanation:

Answer:

D confirm bro............

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle