A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2

answer:

the answer would be x-6/3, yes

The inverse of the function f(x) = 3x + 6 is f^-1(x) = (x - 6) / 3. This inverse is also a function, as it satisfies the vertical line test.

The inverse of a function f(x) is typically denoted as f-1(x). To find the inverse of the function f(x) = 3x + 6, you follow two main steps: firstly, replace f(x) with y, yielding y = 3x + 6; secondly, swap x and y to get x = 3y + 6 and solve for y to get the inverse function.

Getting the inverse starts by subtracting 6 from both sides of the equation, which gives x - 6 = 3y.

Dividing through by 3 gives (x - 6) / 3 = y, or equivalently, y = (x - 6) / 3. So, the inverse of the function is f-1(x) = (x - 6) / 3.

This inverse is indeed a function as it passes the vertical line test. That is, any vertical line drawn through the graph of this function will touch the graph at no more than one point, showing that for every input x, there is exactly one output y.

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Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = - 5, thus

y = 8x - 5 → B

Answer:

B

Step-by-step explanation:

y = mx + b

m represents slope and b is the y intercept

so 8x is mx in this equation  and -5 is b

Hope this will help u..:)

Answer:

Volume of the cone is given by

[tex]V = \frac{\pi {r}^{2}h }{3} = 75\pi[/tex]

[tex] = > \frac{\pi {r}^{2}9 }{3} = 75\pi[/tex]

[tex] = > {r}^{2} = \frac{75\pi}{\pi \times 3} = 25[/tex]

[tex] = > r = \sqrt{25} = 5[/tex]

Diameter of the cone = 2×5 cm = 10 cm

Answer:

A

Step-by-step explanation:

8.5% of 81.42

8.5                 81.42           692.07

-------    X       ---------- =     -------------

100                     1                 100

divide 692.07/100 which gives you 6.9207

if you round it to the nearest hundredth you get 6.92

The solution of equation is [tex]x=2.75[/tex] , which is shown in the graph.

The given equation is,

                           [tex]4x-3=8[/tex]

To solve above linear equation, shift all constant on one side and variable on other side of equation.

                      [tex]4x-3=8\\\\4x=8+3\\\\4x=11\\\\x=11/4=2.75[/tex]

Here graph is attached below which shows the solution of above equation.

Learn more about the linear equation here:

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Answer:

86°

Step-by-step explanation:

The total of all of the angles needs to add up to 180 degrees.

45 + 49 = 94

180 - 94 = 86 degrees

Answer:

86

Step-by-step explanation:

Answer:+10-4

Step-by-step explanation:

This would be the equation to represent this situation because you first got $10, then you spent $4 on snacks.

Answer:

9/33

Step-by-step explanation:

Answer:

9/33

Step-by-step explanation:

Answer:

  67.0 cm³

Step-by-step explanation:

The composite shape is a hemisphere of radius 2 atop a cylinder of height 4 and radius 2. The volume formulas for a cylinder and a sphere can be used to find its volume. (Dimensions are in centimeters.)

The formula for the volume of a hemisphere is half that for the volume of a sphere:

  V = (1/2)(4/3πr³) = 2/3πr³

For a radius of 2 cm, the volume is ...

  V = 2/3π(2 cm)³ = 16/3π cm³

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . . for radius r, height h

For the given dimensions, the volume is ...

  V = π(2 cm)²(4 cm) = 16π cm³

The total volume of the solid is the sum of these volumes:

  total = hemisphere volume + cylinder volume

  total = ((16/3)π +16π ) cm³ = (64/3)π cm³ ≈ 67.0 cm³

The volume of the composite solid is about 67.0 cm³.

Step-by-step explanation:

a 4y=19-3

4y=16

y=16/4

y=4

b. 1/2n=5+3

1/2n=8

n=8×2 as 1/2 become on right so it become 2

n=16

Step-by-step explanation:

[tex]4y + 3 = 19 \\ 4y = 19 - 3 \\ 4y = 16 \\ \frac{4y}{4} = \frac{16}{4} \\ y = 4[/tex]

[tex]( \frac{1}{2} )n - 3 = 5 \\ \frac{n}{2 } - 3 = 5 \\ \frac{n}{2} = 5 + 3 \\ 2 \times \frac{n}{2} = 8 \times 2 \\ n = 16[/tex]

Answer:

No

Step-by-step explanation:

In a triangle sum of any two sides is always grater than the third side.

Here,

[tex]1 + 1 = 2 \ngtr 15 [/tex]

Hence, 1, 15, 1 can't be the sides of a triangle.

Answer:

Step-by-step explanation:

ΔABC ≅ΔFDE. So corresponding side and angles are equal.

∠ACB = ∠FED

∠ACB = 34.7

Answer:

12 cm

Step-by-step explanation:

Leg of one side  = 5 cm

Hypotenuse = 13cm

According to the theorem,

   A^2 + B^2 = C^2

   5^2 + B^2 = 13^2

   25 + B^2 = 169

Subtract 25 form both sides,

    B^2 = 169 - 25

     B^2 = 144

     B = sqrt( 144 )

      B = 12

Done!

Answer:

Step-by-step explanation:

Answer:

B. 34%.

Step-by-step explanation:

94 - 78 = 16 which is 2 times the standard deviation from the mean.

For a normal distribution this is 34% of the total students.

Answer:

314 square inches long

Answer:

V = 280000 cubic meters

Step-by-step explanation: Given that the volume of the scale model was 35 cubic feet. The ratio of the dimensions of the model to the

dimensions of the store was 1:20. 

Let the volume of the actual department store that Paula planned to build be V. Then

35/V = (1/20)^3

35/V = 1/8000

Cross multiply

V = 8000 × 35

V = 280000 cubic meters

Answer: The volume of the actual department store is 280,000 cubic feet

Step-by-step explanation: The question has provided the volume of the model built by Paula, and that is 35 cubic feet. The volume of a three sided solid is given as;

Volume = L x W x H

This can also be conveniently expressed as;

Volume = L³ (which implies that the solid has all sides measuring the same for simplicity's sake)

However, given that the ratio of the model to that of the actual store is 1:20, we simply use the given ratio to substitute for the value of the side of the actual store, hence we now have dimension as;

Volume = L³

35 = L³

Add the cube root to both sides of the equation

∛35 = L

The dimension of the actual store which is an enlargement by a ratio of 1:20 now becomes;

Actual store = 20 x L

Actual store = 20 x ∛35

Actual store = 20 x 3.27106631018859

Actual store = 65.42132620377179

Therefore the volume of the actual store is given as;

Volume = L³

Volume = 65.42132620377179³

Volume = 280000

Therefore the volume of the actual store is 280,000 cubic feet

Answer: $2.90

Step-by-step explanation:

Each quarter is worth 25 cents so we do 8x25 which is 200 and we do 9x10 which is 90 and when we add them up we get 290 cents which is 2.90 dollars

Answer:

$2.90

Step-by-step explanation:

8 times 25 equals 200 ($2)

9 times 10 equals 90 ($0.90)

Answer:

graph a

Step-by-step explanation:

y has to be less than the line

postive slope

the only graph that has both is graph a

Answer: k = 6

Step-by-step explanation: 24/4=6

Answer:

22.22% i think

Step-by-step explanation:

Answer:

The coupon was 20% off

Step-by-step explanation:

Step-by-step explanation:

15.3 ft is right..................

Answer:

15.5 ft

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

according to the law of exponents a0 = 1. Similarly b0=1

Any number with an exponent 0 will be a 1.

Final Answer:

Pill 1 is more cost-effective, meeting or exceeding daily requirements for vitamins A, B1, and C with lower cost (30¢) compared to pill 2 (60¢). It provides 480 IU of vitamin A, 5 mg of vitamin B1, and 60 mg of vitamin C with fewer pills, making it the optimal choice.

Step-by-step explanation:

The patient's daily requirements are 420 IU of vitamin A, 5 mg of vitamin B1, and 60 mg of vitamin C. Let's evaluate the contribution of each pill to these requirements.

Pill 1 provides 120 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C.

Pill 2 provides 60 IU of vitamin A, 1 mg of vitamin B7, and 15 mg of vitamin C.

To meet the vitamin A requirement, the patient can take 4 pills of type 1 (4 * 120 IU = 480 IU), while it would take 7 pills of type 2 (7 * 60 IU = 420 IU). So, pill 1 is more efficient for meeting the vitamin A requirement.

For vitamin B1, both pills contribute 1 mg each, and since the requirement is 5 mg, the patient needs to take 5 pills of either type.

For vitamin C, the patient needs 60 mg. Pill 1 provides 10 mg per pill, so 6 pills are needed (6 * 10 mg = 60 mg). Pill 2 provides 15 mg per pill, so 4 pills are needed (4 * 15 mg = 60 mg).

Considering the cost, pill 1 costs 30¢, and pill 2 costs 60¢. Since both pills are equally effective in meeting the B1 requirement and pill 1 is more efficient for vitamin A and equally efficient for vitamin C, the patient should choose pill 1 due to its lower cost.

[tex]\text{We have to find the salesman's total salary for the week}\\\\\text{We know that he makes a base price of \$350 a week}\\\\\text{We also know he makes 4\% in commission from SALES}\\\\\text{From the given information, it says that he sold \$1500 worth of stuff}\\\\\text{Lets find his commission. To find this, we would multiply 1500 by 0.04:}\\\\1500*0.04=60\\\\\text{He makes \$60 in commission}\\\\[/tex]

[tex]\text{Now we need to find his total income for the week. To do this, add his}\\\text{salary and commission. Don't add how much he sells, he doesn't make}\\\text{money from that.}\\\\350+60=410\\\\\text{His income for the week was \$410}\\\\\boxed{\$410}[/tex]

Answer: the first one

Step-by-step explanation: 29/90 as in fraction

Answer:

3.14 x 16 = 50,24unit

Step-by-step explanation:

The circumference = π x the diameter of the circle (Pi multiplied by d.

Simply divide the circumference by the π, then you will have the diameter of the circle.

Answer:

Step-by-step explanation:

Rounding to nearest tenth:

i) if number in 100th place is 5,6,7,8 or 9, then add 1 to number in the tenth place and after adding remove all the digits right to it.

EG: 4.567  = 4.6

ii) if number in 100th place is 0,1,2,3 or 4, then write down number in the tenth place as it is and then remove all the digits right to it.

Eg: 4.523 = 4.5

a) 0.32 = 0.3  (b) 3.87 = 3.9   (c)0.709 = 0.7

d) 12.75 = 12.8  (d)12.745 = 12.8   e) 645.059 = 645.1

Answer:

The GCF if 60, 14, 21 is 1