A shipping container is in the form of a right rectangular prism, with dimensions of 35 ft by 8 ft by 9 ft 9 in. If the container holds 1420 cubic feet of shipped goods, what percent is full? Round your answer to the nearest whole number if necessary

Answer:

8

Step-by-step explanation:

8x - 4 = 60

8x = 60 + 4

x = 64/8

x = 8

Answer:

The answer is -½.

✌ yeah it is ✌

(a) 125 is the smallest positive integer greater than 100 that can be expressed in two different ways as a sum of two squares. (b) The 20th smallest number that is a sum of two squares in two different ways is 197.

(a) To show that 125 is the smallest positive integer greater than 100 that can be expressed in two different ways as a sum of two squares, we need to find two distinct pairs of integers (a, b) and (c, d) such that:

125 = a² + b² = c² + d

We can start by listing the squares of integers and checking for sums that equal 125:

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

From the list, we can see that 125 is not a perfect square. However, we can express it as the sum of two squares in two different ways:

125 = 5² + 10² = 11² + 2²

Therefore, 125 is the smallest positive integer greater than 100 that can be expressed in two different ways as a sum of two squares.

(b) To find the 20th smallest number that is a sum of two squares in two different ways, we can use a systematic approach. We can start with the smallest numbers that can be expressed as a sum of two squares and check if they have multiple representations.

Starting from the smallest non-zero-sum of squares:

1² + 0² = 1

We continue to find more numbers that can be expressed as a sum of two squares:

2² + 1² = 5

1² + 2² = 5

3² + 1² = 10

1² + 3² = 10

4² + 1² = 17

1² + 4² = 17

And so on...

By following this process, we can find the 20th smallest number that can be expressed as a sum of two squares in two different ways:

20th number = 49² + 2² = 7² + 8² = 197

Therefore, the 20th smallest number that is a sum of two squares in two different ways is 197.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

15.3/0.012=??????????????

Answer: 1275

Answer:

£4800

Step-by-step explanation:

principal amount:£800

time:3years

rate:2%

amount= principal*rate*time

£800*2*3

=£4800

Answer:

yes

Step-by-step explanation:

5/7*6 = 4.28

Answer:

yes

Step-by-step explanation:

5/7×6=4.28

which is less than 6

Answer:

D. 64

Step-by-step explanation:

Setup an equation to solve for the missing test, x. Since you are doing average and there are three tests, divide the left side of the equation by 3. Set the equation equal to 60 since that is what we want the average to be.

\(\frac{52+64+x}{3}=60\)

Multiply both sides by 3 to remove it from the denominator.

\((3)\frac{52+64+x}{3}=60(3)\)

\(52+64+x=180\)

Simplify and solve for x.

\(52+64+x=180\\116+x=180\\116-116+x=180-116\\x=64\)

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

Answer:

45 feet

Step-by-step explanation:

The parabola that forms the shape of the satellite dish has its axis of symmetry along the vertical direction, and the vertex at the bottom center of the dish. Let's assume that the vertex of the parabola is at the origin (0,0) of a coordinate system, and the opening of the dish is along the x-axis. Then the equation of the parabola is:

y = a x^2

where "a" is a constant that determines the shape of the parabola. We can find the value of "a" using the given dimensions of the dish.

At the opening of the dish, which has a diameter of 72 feet, the y-coordinate is zero. Therefore, we have:

0 = a (36)^2

Solving for "a", we get:

a = 0

This means that the equation of the parabola is simply y = 0, which is a horizontal line passing through the origin. Clearly, this is not the correct equation for the parabola.

To find the correct equation, we need another point on the parabola. We are given that the depth of the dish at its center, which corresponds to the focus of the parabola, is 9 feet. Using the definition of a parabola, we know that the distance from any point on the parabola to the focus is equal to the distance from that point to the directrix. Since the axis of symmetry is vertical, the directrix is a horizontal line located 9 feet below the vertex.

The equation of the directrix is therefore:

y = -9

We can use this to find another point on the parabola. Consider a point (x,y) on the parabola that is equidistant from the focus (0,9) and the directrix y = -9. The distance from (x,y) to the focus is:

d = sqrt(x^2 + (y-9)^2)

The distance from (x,y) to the directrix is simply y + 9. Therefore, we have:

sqrt(x^2 + (y-9)^2) = y + 9

Squaring both sides and simplifying, we get:

x^2 = 4y(18-y)

This is the equation of the parabola. We can now find the x-coordinate of the receiver, which is located at the focus (0,9). Setting y = 9 in the equation of the parabola, we get:

x^2 = 4(9)(9) = 324

Therefore, the x-coordinate of the receiver is:

x = ±18

Since the dish is 72 feet across at its opening, the receiver should be located at a distance of 36 feet from the center of the dish. Therefore, the receiver should be placed at a height of:

y = 9 + 36 = 45 feet

above the vertex of the parabola.

Answer: 48

The length of AC is the same of BC.

So, the sides will have the same length.

AC is 48, so BC will also be 48.

The answer to the question is 48.

The value of RM is 12

Similar triangles have the same corresponding angle measures and proportional side lengths.

The corresponding angles of similar triangles are equal.

Also the ratio of corresponding sides of similar triangles are equal.

Since triangle PQS and triangle PRM are similar then;

represent RM by x

6/8 = 9/x

6x = 72

x = 72/6

x = 12.

The value of RM is 12.

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Answer:

C. ΔGTA ≅ ΔQME

good luck, i hope this helps :)

The correct option is (D) "The range is y > 0, and the domain is all real integers."

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).

Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

So, the domain and range of the graph are calculated as follows:

The interval (-,) is the domain of the graph's function: (-∞,∞)

That implies: Real numbers only

The interval between (0,) is the range of the graph's function: (0,∞)

It implies that y>0 is true for all positive real values.

Therefore, the correct option is (D) "The range is y > 0, and the domain is all real integers."

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Correct question:
What are the domain and range of the function on the graph?

A)The domain includes all integers, and the range is y ≥ 0.

B)The domain includes all integers, and the range is y > 0.

C)The domain includes all real numbers, and the range is y ≥ 0.

D)The domain includes all real numbers, and the range is y > 0.

Answer:

Below in bold.

Step-by-step explanation:

The right triangle of which ∅ is a part has

Hypotenuse = sqrt(8^2 + 15^2)

=  sqrt289

= 17,

So, sin ∅ = 8/17 and cos ∅ = 15/17

and

sin∅ + cos∅(1- cos∅)

= 8/17 + 15/17(1 - 15/17)

= 8/17 + 15/17 - 225/289

= 166/289.

(b)  tan 30 = h/96      where h is height of the mast

h = 96 tan 30.

= 55.4256

tan 60 = 55.4256/d        where d is the required distance

d = 55.4256/ tAN60

  = 32 M

Answer:

Center: (0,0)

Radius: 3

Graph:

Please find attachment to view the graph.

Step-by-step explanation:

Please give the brainliest.

Therefore, the interest on the notes would be:(a) $70 (b) $45 (c) $92 (d) $70.

To determine the interest on the given notes, we can use the simple interest formula:

Interest = Principal * Rate * Time

(a) For $5,600 at 5% for 90 days:

Principal = $5,600, Rate = 5% (or 0.05), Time = 90 days/360 (converted to years)

Interest = $5,600 * 0.05 * (90/360) = $70

(b) For $1,280 at 9% for 5 months:

Principal = $1,280, Rate = 9% (or 0.09), Time = 5 months/12 (converted to years)

Interest = $1,280 * 0.09 * (5/12) = $45

(c) For $6,900 at 8% for 60 days:

Principal = $6,900, Rate = 8% (or 0.08), Time = 60 days/360 (converted to years)

Interest = $6,900 * 0.08 * (60/360) = $92

(d) For $2,000 at 7% for 6 months:

Principal = $2,000, Rate = 7% (or 0.07), Time = 6 months/12 (converted to years)

Interest = $2,000 * 0.07 * (6/12) = $70

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

y = 5x -3

Step-by-step explanation:

slope = 5

y int = -3

Answer:

picture #1 - 50.27 square units

picture #2 - 113.10 square units

picture #3 - 380.13 square units

Step-by-step explanation:

picture #1 - area = πr^2 -> π*4^2 = 50.27 square units

picture #2 - area = πr^2 -> π*6^2 = 113.10

picture #3 - area = πr^2 -> π*11^2 = 380.13

SOLUTION

We will apply the amount formula

Substituting each into the equation, we have

Hence the answer is $10,333.71 to two decimal places

In a bar graph the length of the bar need not be in proportion to the information being False.

Bar graph. A bar chart is frequently used to compare values of different things at a specific time. It presents information visually using rectangles (bars). It generally serves as a visual aid for proportions, patterns, comparisons, and contrasts.

To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (several bars that compare values in a category), and stacked bars can all be used to construct bar graphs (bars containing multiple types of information).

A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.

comparisons of several variables that are simple. clarity in the presentation of data trends. Simple value determination.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Step-by-step explanation:

Given inequality:

Solution:

The only number satisfying this inequality is 0.

Correct choice is A