surface area of a square prism 3ft 3ft 15ft

Answer:

Step-by-step explanation:

B is the midpoint of AC. It means:

And we have a common side BD:

a) As per above we only have two sides congruent and this information is not sufficient to state the triangles ABD and CBD are congruent.

b) In addition to the two sides we also have:

With this additional information we have three sides congruent, so the triangles are congruent by SSS postulate.

Answer:

$60, because if $10 is half, then before lunch Hunter had $20.

If Hunter used 2/3 of his money to buy that video game, and remained with $20 that means that 1/3 of the original amount of money he had was $20.

$20 * 3 = $60. Hunter began with $60.

Step-by-step explanation:

hope this helped you! :)

Answer: I hope this helps :)

Substitution:  45+15(6-1)

Simplify:  120

Step-by-step explanation:

Calculate within parenthases (6-1) =5    =45+15(5)

Multiply left to right 15(5)=75      =45+75

Add leftg to right 45+75=120

Answer = 120

Answer:

A & F

Step-by-step explanation:

Congruent means same shape and size. As you can see, D and E look similar but D appears longer than E. B & C are different sizes, leaving A & F your only choice. They are just rotated which doesnt matter.

The velocity v₁ of object 1 followed by the velocity v₂ of object 2 as coordinates gives; (v₁, v₂) = [(¹/₃v, ⁴/₃v)]

Momentum of object 1 before collision = (2m)v = 2mv

Momentum of object 2 before collision = (m)(0) = 0

Momentum of object 1 after collision = (2m)(v₁) = 2mv₁

Momentum of object 2 after collision = (m)(v₂) = mv₂

Thus, we now have;

2mv = 2mv₁ + mv₂

2v = 2v₁ + v₂

v₂ = 2v - 2v₁   -----(eq 1)

Kinetic energy of object 1 before collision = (¹/₂)(2m)(v²) = mv²

Kinetic energy of object 2 before collision = (¹/₂)(m)(0²) = 0

Kinetic energy of object 1 after collision = (¹/₂)(2m)(v₁²) = mv₁²

Kinetic energy of object 2 after collision = (¹/₂)(m)(v₁²) = (¹/₂mv₂²)

Thus, we now have;

mv² = mv₁² + (¹/₂mv₂²)

v² = v₁² + (¹/₂v₂²)

2v² = 2v₁² + v₂²  ---- (eq 2)

Substitute 2v - 2v₁ for v₂ in eq 2 to get;

2v² = 2v₁² + (2v - 2v₁)²

2v² = 2v₁² + 4v² - 8vv₁ + 4v₁²

6v₁² - 8vv₁ + 2v² = 0

6v₁² - 6vv₁ - 2vv₁ + 2v² = 0

6v₁(v₁ - v) - 2v(v₁ - v) = 0

(6v₁ - 2v)(v₁ - v) = 0

6v₁ = 2v or v₁ = v

v₁ = (¹/₃v) or v₁ = v

If v₁ = (¹/₃v), then eq 1 becomes;

v₂ = 2v - 2(¹/₃v)

v₂ = 2v - (²/₃v)

v₂ = (⁴/₃v)

If v₁ = v, then eq 1 becomes;

v₂ = 2v - 2v = 0

(v₁, v₂) = [(¹/₃v), (⁴/₃v)] or (v₁, v₂) = (v, 0)

Complete question is;

Let two objects of equal mass m collide. Object 1 has initial velocity v, directed to the right, and object 2 is initially stationary.

Now assume that the mass of object 1 is 2m, while the mass of object 2 remains m. If the collision is elastic, what are the final velocities v1 and v2 of objects 1 and 2? Give the velocity v1 of object 1 followed by the velocity v2 of object 2, separated by a comma. Express the velocities in terms of v.

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Answer:

4/5 = 0,8

4 | 5

40 0,8

40

Step-by-step explanation:

Answer: the tenths place

Step-by-step explanation:

Answer:

yes you are correct :)))

Answer:

Step-by-step explanation:

xhxj

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer: 1) A

2) yes

Step-by-step explanation:

Answer:

a and yes

Step-by-step explanation:

Answer:

D, \(\frac{7(x-4)}{6}\)

Step-by-step explanation:

Basically you have to simplify the (x² - 16). Since it is the difference of 2 squares, it's simplified as (x + 4)(x - 4). Now that everything is simplified, you can start doing the multiplication.

\(\frac{(x+4)(x-4)}{6x} *\frac{7x}{(x+4)}\), You can cancel out the (x+4)'s

\(\frac{(x-4)}{6x} *{7x}\), There is a common factor between 7x and 6x. The common factor is x. So cancel out both "x".

You end up with this, \(\frac{7(x-4)}{6}\)

The percent of the total time teens spend using the Internet and doing chores is the time they spend listening to the radio is 55.56%.

Time spent using the internet = 4 hours

Time spent doing chores = 4 hours

The time spent listening to the radio = 10 hours

The total time spent during the week is 4 + 4 + 10 = 18 hours

The percentage of this total time that is spent listening to the radio is:

(10 hours / 18 hours) x 100% =55.56%

This is basic arithmetic operations and is used in calculation of numbers.

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Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Answer:

No, the Large Counts Condition is not met.

Step-by-step explanation:

edge 2021

The condition for inference met is no, the large count's condition is not met.

A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times.

Interference is the phenomenon that occurs when two waves meet while traveling along with the same medium.

The interference of waves causes the medium.

She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6.

Therefore option second is correct.

That is no, the large count's condition is not met.

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From the table, we conclude that on Wednesday and Sunday the low temperature farthest from 0°C

The investigator must summarize the facts in tabular form after gathering them in order to study their prominent features. The presentation of data is the name given to such a configuration.

Any acquired data may be arranged in a frequency distribution table and then displayed using pictograms or bar graphs. The lengths of the equally wide bars that make up a bar graph are controlled by the frequency and scale you select.

Observing the data is represented in a table form where rows represent the number of days in a week and two columns represent the high and low temperatures of Anchorage, Alaska.

On Wednesday and Sunday, the low temperature was - 13°C and it is the farthest from 0°C.

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Answer:

y = 9x + 7

Step-by-step explanation:

       9 times x = 9 *x

                       = 9x

 7 more than 9x = 9x + 7

    y = 9x + 7

Answer:

-3, 3, 0.54545455, 8, 3.14159265..., 0, 2.44948974, 6

these are the real numbers

Step-by-step explanation:

this creates a right-angled triangle, with the length of the slide being the Hypotenuse (the side opposite of the 90° angle), and height and base are the legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b being the legs.

length² = 9² + 12² = 81 + 144 = 225

length = sqrt(225) = 15 ft

Answer:

f(- 1) = 10

Step-by-step explanation:

using the rule of exponents

\((\frac{a}{b}) ^{-1}\) = \((\frac{b}{a}) ^{1}\) = \(\frac{b}{a}\)

to find f(- 1) substitute x = - 1 into f(x)

f(- 1) = 5\((\frac{1}{2}) ^{-1}\) = 5 × \(\frac{2}{1}\) = 5 × 2 = 10

The probabilities is as follows:

a) P(Z \(\leq\) -1.0) = \(\Phi\)(-1.0) = 0.1587.

b) P(Z \(\geq\) -1.0) = 1 - P(Z < -1.0) = 1 - 0.1587 = 0.8413.

c) P(Z \(\geq\) -1.5) = 1 - P(Z < -1.5) = 1 - \(\Phi\)(-1.5) = 1 - 0.0668 = 0.9332.

d) P(Z \(\geq\) -2.5) = 1 - P(Z < -2.5) = 1 - \(\Phi\)(-2.5)=1-0.0062=0.9938

e) P(-3 < Z \(\leq\) 0) = P(Z \(\leq\) 0) - P(Z < -3) = \(\Phi\)(0) - \(\Phi\)(-3) = 0.5 - 0.0013 = 0.4987.

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.

Any normal distribution can be made into the conventional normal distribution by converting the ad hoc data into z-scores. Z-scores in a z-distribution show the number of standard deviations that each value deviates from the mean.

Let Z be a random variable following N(0,1).

Then, Z is also called a standard normal variable.

The cumulative distribution function of Z exists represented by Ф(.) where Ф(z) = P(Z \(\leq\) z).

Suppose we wish to find \($P(a \leq X \leq b)$\).

Then, P(a \(\leq\) X \(\leq\) b) = P(X \(\leq\) b) - P(X < a) = \(\Phi(b)-\Phi(a)$\).

Suppose \($Z \sim N(0,1)$\).

a) P(Z \(\leq\) -1.0) = \(\Phi\)(-1.0) = 0.1587.

b) P(Z \(\geq\) -1.0) = 1 - P(Z < -1.0) = 1 - 0.1587 = 0.8413.

c) P(Z \(\geq\) -1.5) = 1 - P(Z < -1.5) = 1 - \(\Phi\)(-1.5) = 1 - 0.0668 = 0.9332.

d) P(Z \(\geq\) -2.5) = 1 - P(Z < -2.5) = 1 - \(\Phi\)(-2.5)=1-0.0062=0.9938

e) P(-3 < Z \(\leq\) 0) = P(Z \(\leq\) 0) - P(Z < -3) = \(\Phi\)(0) - \(\Phi\)(-3) = 0.5 - 0.0013 = 0.4987.

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Answer:

3.) 11

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5

f(3) is x = 3

Step 2: Solve

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

Step-by-step explanation:

31.32≤24.72+1.32x≤52.12

31.32−24.72≤24.72−24.72+1.32x≤52.12−24.72

6.6≤6.61.32≤1.32x≤27.41.32x1.32≤27.41.32

5≤x≤20.76

The property owner can use 5–20 hcf and still fall within the Conservation Usage billing range.

Answer:

Plot the point at the minimum of the graph.

Step-by-step explanation:

If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89