Find the volume and surface area of this combined figure.

Answer:

8 feet = 2 ²/₃ yards

Step-by-step explanation:

1 yard = 3 feet

Given width = 2 yards

⇒ width = 2 × 3 = 6 feet

Area of a rectangle = width × length

⇒ 48 ft² = 6 ft × length

⇒ length = 48 ft² ÷ 6 ft

⇒ length = 8 ft

To convert the length to yards, divide by 3:

⇒ 8 ÷ 3 = 2 ²/₃ yards

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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Answer:

x => -7

Step-by-step explanation:

to solve this equation you should start by subtract 6 on both sides

-2x <= 3x + 35

then subtract 3x to both sides

-5x <= 35

then you divide both sides by -5

x => -7

you must change the signs because you multiplied it by a negative

Answer:

  4 in

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.

__

  5² = 3² + ?²

  25 = 9 + ?² . . . . . simplify

  16 = ?² . . . . . . . . . subtract 9

  4 = ? . . . . . . . . . . . take the square root

The missing length is 4 inches.

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[tex] 5^2 = 3^2 + ( \:)^2 [/tex]

[tex] 25 = 9 + (\:) ^2 [/tex]

[tex] 16 = (\:) ^2 [/tex]

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Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

Answer:

Solution: C

Equation to find Gage's age:  3g + 2 = 23  (where g is Gage's age)

Step-by-step explanation:

Let e = Everly's age

Let g = Gage's age

Given:

⇒ e = 3g + 2

Given

⇒ e = 23

Combine the equations to create an equation to find Gage's age:

⇒ 3g + 2 = 23

To find Gage's age, solve the equation for g:

⇒ 3g + 2 = 23

⇒ 3g = 21

⇒ g = 7

Therefore, Gage is 7 years old

Answer:

I don't know the amount of years you need, but the formula to find this would be 5000(1.03x) with "x" representing the number of years

Answer:

Step-by-step explanation:

14) Amount in Harper's school lunch account = $ 75

Cos of one meal = $ 3.25

Cost of 'm' meals = 3.25 * m = 3.25m

Balance amount in Harper's account after getting 'm' meals = $ 19.75

Total amount - Cost of 'm' meals = 19.75

      75 - 3.25m = 19.75

         To find the value of 'm', isolate m. To isolare m subtract 75 from both sides

             -3.25m = 19.75 - 75

             -3.25m  = -55.25

Now divide both sides by (-3.25)

                     m = -55.25/(-3.25)

m = 17

15) Starting height = 24 ft

Height after t seconds = 4.5*t = 4.5t

To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft

Initial height + height after 't' seconds ≥ 330

24 +  4.5t ≥ 330

Subtract 24 from both sides

          4.5t ≥ 330 - 24

          4.5t ≥ 306

Divide both sides by 4.5

    t ≥ 306/4.5

     t ≥ 68

He will be able to see the river from 68 seconds ( 1 minute 8 seconds)  and above.

No, Imani will not be able to the river after the drone has been raising  for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .

Answer: 20.48

Step-by-step explanation: you add 5.12 four time then you get 20.48.

Answer:

0.0095

Step-by-step explanation:

= 0.009455 ( as they are bigger than 4 )

= 0.0095

We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

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Answer:

Step-by-step explanation:

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

A linear function is modeled by:

y = mx + b

In which:

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

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Answer:

I think its some sort of learning platform. Search it up.

Step-by-step explanation:

Answer:

B) 70 °

Step-by-step explanation:

Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:

m ∠ AOB = 2 · x (1)

Where x is the measure of angle BOC, in degrees.

And the measure of the angle AOC is: ( x= 70°)

∠ AOC = 70°

Answer:

x = 1/3

Step-by-step explanation:

[tex] = > log_{(3x + 4)}125 = 3[/tex]

[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]

[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]

[tex] = > 3x = 5 - 4 = 1[/tex]

[tex] \therefore \: \: x = \frac{1}{3} [/tex]

Hope you've understood the solution.

CCan you make it visible to see, please!CCan

Answer:

$100.80

Step-by-step explanation:

84 * 1.20 (120%) is 100.80

Answer:100.8

Step-by-step explanation:

0.2x84=16.8 so 16.8 is the discount.

84+16.8=100.8

How much money, in dollars, per band member, still needs to be raised for the trip?

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

The standard vertx form of an expression is given as  y = a(x – h)^2 + k

Given the quadratic expression given as:

y = 6x^2  + 18x+ 14

Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.

To do that, you will factor out 6 from the first two terms to have:

6(x^2 + 3x) + 14

Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

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The first step is factoring out the 6 from the 6x2 + 18x. 

Answer....

Ok done. Thank to me >:33

Answer:

Airplane A.

Step-by-step explanation:

Hey!

Therefore, he sold 28 cups of lemonade

Bao sold 28 cups and spend $2.5 on 50 cups.

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

Given that, Bao is selling lemonade at $0.35 per cup.

We need to determine, number of cups he sold if he earned $9.80,

And,

Bao bought 50 paper cups for $0.50 each, how much he spent on them,

1) Let he sold x cups,

So,

0.35x = 9.8

x = 28

Therefore, he sold 28 cups.

2) Since, one cup is for $0.05 therefore,

50 cups = 50 x 0.05
= $2.5

Therefore, cost of 50 cups is $2.54

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Answer:

90 degrees

Step-by-step explanation:

It is a right angle

Answer:

A) How many pets are owned by my uncle.

Step-by-step explanation:

This question is NOT statistical because it has a definite answer.

There is one number that can represent how many pets are owned by let's say your uncle.

On the other hand, B, C, and D compare two different things.

Hope this helps!

Answer:

$41739.13

Step-by-step explanation:

We will start by creating an equation for the problem.

Set Rodney's salary before the increase as [tex]x[/tex].

Changing the 15% to a decimal and making sure it's an increase we get 1.15

If we work backwards we get the equation:

[tex](1.15)x=48000[/tex]
[tex]\text{Solving for } x\text{ we divide }48000 \text{ by } 1.15 \text{ and we get the answer of } 41739.13[/tex]

Answer:

(10 , 3)

Step-by-step explanation:

When you reflect over the y-axis, you are flipping the sign of the x-coordinate.

Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.

In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.

(-10 , 3) reflected over the y-axis is (10 , 3).

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Answer:

hope this helps

Answer:

the 2nd option

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )

• if a > 0 then minimum turning point

• if a < 0 then maximum turning point

the graph here has a minimum turning point , so

the function has a positive leading coefficient.

the function is symmetrical about the y- axis , so is of even degree

the function has 1 turning point at (0, 2 )

the graph does not cross the x- axis so has 0 x- intercepts

Answer:

318

Step-by-step explanation:

Arithmetic sequence:

a = 28 ; d = 10 & n = 30

[tex]\boxed{a_{n}=a +(n-1)d}[/tex]

a₃₀ = 28 + (30 - 1)*10

      = 28 + 29 *10

     = 28 + 290

     = 318

Answer:

x = 60

Step-by-step explanation:

Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent

So triangle equals 180 degrees and 60 times 3 equals 180

Step-by-step explanation:

x + x + x = 180° ( sum of interior angle of triangle is 180°)

3x = 180°

x = 180° / 3

x = 60°