Find the 7th term of the following arithmetic sequence. a1 = -12, d = 2

Answer:

273 people.

Step-by-step explanation:

Given that,

Total number of people working on an office building = 1092

The building has 4 floors, and the same number of people work on each floor.

We need to find how many people work on each floor. Let there are n people in each floor.

n = Total number of people/Total number of floors

[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]

So, there are 273 people working on each floor.

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

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Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

0

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

Ik where u got this q from but:

small bag is £3.60

large is $3.80

Step-by-step explanation:

the 500 grams x 4 to get 2kg then do 90p x 4

then

4kg divided by 2 to get 2kg as the question states, then do £7.60/2

hegarty maths anyone?

Answer:

UY = 14

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

∴ UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

∴ UY = 2YZ

∵ UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

∴ UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

∴ UY = 14

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.

If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.

Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].

Now, on solving we get,

[tex]20x\geq 3000[/tex]

[tex]\implies x\geq \frac{300}{20}[/tex]

[tex]\implies x\geq 15[/tex]

Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.

Since

Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment

20x≥30,000

x≥15

Based on this, the above represent the inequality function.

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Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

x = 2

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:

there is no attached file

Step-by-step explanation:

Answer:

format is wrone

i will answer then

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

X+4²=2  Equation

Step 2

X+4²=2  4x4

x+4^2=2

Step 3

x+4^2=2  subtract 4^2

answer

x=-14

hope this helps

Answer:

Step-by-step explanation:

1) √36 = 6

2) ^3 √8 = 2

3) ^3 √64 = 4

Answer:

B. 20 = 2g

Step-by-step explanation:

What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.

Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.

Answer:

fffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

Answer:

(3,-1)

I took the test, it said it was right.

Answer:

there's nothing there

Step-by-step explanation: