3^2x+1=9^2x-1 solve the equation ​

Answer:

t = 0.5m + 15

Step-by-step explanation:

0.5m + 15 = t

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Answer:

200

Step-by-step explanation:

delta math

its 200.456 before rounding

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

Answer:

22

Step-by-step explanation:

180 - 90 - 68

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

(125/5)×3=75

75 participate jogging

25×2=50

50 participate in cycling

Answer:

1. 6

2. 40

3. 5

4. 50

5. 50

6. 5

Act. 2

1. 234

2. 123

3. 122

4. 343.

5. 111

Act. 3

Marcus gave each $120.

Brandon gets paid $9 each hour.

There are 20 boxes on each shelf.

The second page I'm not sure what that means.

Answer:

1 carton

Step-by-step explanation:

The volume of the carton: ~11404 cm^3

The volume of 1 scoop: ~113.1 cm^3

100 scoops --> 113.1 x 100 = ~11310 cm^3

11310<11404 --> ester will need 1 carton because 100 scoops won't fill more than one.

Hope this helped! :)

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

Answer:

1/2

Step-by-step explanation:

hope this helps!

Answer:

40 Square Units

Step-by-step explanation:

Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer

Diagonal 1 (AC) = 5 + 5 = 10

Diagonal 2 (BD) = 4 + 4 = 8

10 + 8 = 80, 80/2 = 40

Answer: 40 square units

Answer: John earns $0.25 more an hour than Joe does.

Step-by-step explanation: 3 hours is equivalent to $34.50 in payouts, meaning in order to get the hourly charge you would have to divide 34.50 by 3. Which is 11.5 or 11.50. 11.25 is 0.25 below 11.50. Hope this helps! :)

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Answer:

m∠2=9

Step-by-step explanation:

Hello There!

The problem states that the angles are complementary angles

Complementary angles are angles that have measures that add up to equal 90

So given one of the angles we can find the missing angle by subtracting the known angle from 90

90 - 81 = 9

so we can conclude that the measure of angle 2 is 9

Answer:

264 square miles

Step-by-step explanation:

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

4x+2=150 150-2=148 148/4= 37

Answer:

37

Step-by-step explanation:

first option, 37..................................................................................................................................................................................................................................................................................................

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

This does not explain

Step-by-step explanation:

...

Answer:

26

Step-by-step explanation:

With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27

So I put in the numbers in place of the square and circle:

5+7+7+⛛+⛛ = 27

5+7+7 = 5+14=19

27-19=8

So now we know that 2⛛=8

So I did 8 ÷ 2 = 4. ⛛=4

So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5

Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?

Translating into: 5 + 5 + 5 + 7 + 4 = 26

So our final answer is 26.

Answer:

9 months

Step-by-step explanation:

Given data

One time fee= $140

Monthly fee= $40

Total amount of check = $500

The expression that describes the situation is given as

y=mx+c

where y= the total amount of the check

m= the monthly fee

x= the number of months

c= the one time fee

Substitute

500=40x+140

500-140=40x

360=40x

x= 360/40

x=9

Hence the number of months is 9 months

Answer:

C

Step-by-step explanation:

first we want to find the missing angle at the top

to do that we subtract the given angles by 180

the square indicates that the angle is a right angle or that it equals 90

180-90-40=50

we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180

180-50-130 so the answer is c

have a great day :D

Answer:

6 511 104 in³

Step-by-step explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³

Answer:

35

Step-by-step explanation:

6 pies = 21 cups of apples

1 pie =  3.5 cups of apples

10 pies = 35 cups of apples

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

#2

Surface area is the sum of 1 square and 4 triangles:

Answer:

C. 1796.08 [tex]in^2[/tex]

Step-by-step explanation:

Area of circle is [tex]\pi r^2[/tex], r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

Answer:

Step-by-step explanation:

r₁ = radius of tabletop = 24 in

r₂ = radius of hole = 2 in

area of hole = πr₂² = 4π in²

area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²