A betta fish tank is in shape of a cube. The volume of the fish tank is 216 cubic inches. What is the edge length, in inches, of the fish tank?

Step-by-step explanation:

3√64/343

3√4^3/7^3

3√(4/7)^3

4/7

Answer:

4/7

Step-by-step explanation:

\(\sqrt[3]{\frac{64}{343} }\)

\(\frac{\sqrt[3]{64}}{ \sqrt[3]{343} }\)

\(\sqrt[3]{64}\) = 4

\(\sqrt[3]{343}\) = 7

\(\frac{4}{7}\)

Step-by-step explanation:

\( = - {32}^{ \frac{3}{5} } \)

\( = - {( {2}^{5}) }^{ \frac{3}{5} } \)

\( = - {(2)}^{5 \times \frac{3}{5} } \)

\( = - {2}^{3} \)

\( = - (2 \times 2 \times 2)\)

\( = - 8\)

The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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Answer:

what type of problem is it reading or something eles?

Answer:

give a picture

Step-by-step explanation:

Answer:

equation 0.8C+1=C

4 liters of orange juice

Step-by-step explanation:

C for can

0.8 as 80%

1 for liters of water

0.8C+1=C

subtract 0.8C

1=0.2C

if 1 liter=20% of a can then 80% is 4 liters

Hope this helps! Plz award Brainliest : )

Answer:

The answer for this math problem is B ×=8 for X.

Answer:

D 0.75

Step-by-step explanation:

There are a total of 4 pairs: White-Summer, Black-Summer, White-Winter, and Black-Winter. There are a total of 8 socks.

The probability of pulling a black sock or a summer sock is the number of all black or summer socks divided by the total number of socks.

The number of black or summer socks includes 1 pair of White-Summer, 1 pair of Black-Summer, and 1 pair of Black-Winter.

This makes for 6 black or summer socks.

Divide 6 by 8 to get 0.75

Answer:

192

Step-by-step explanation:

-3(-4(2) - 7(8))

= -3(-8 - 56)

= -3(-64)

= 192

*Negative x negative = positive

The equation of the ellipsoid is\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

The equation of an ellipsoid is represented as:

\(\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

Given that the ellipsoid passes through the points (±6,0,0),(0,±7,0) and (0,0,±5)

It means that:

(±a,0,0)  = (±6,0,0)

(0,±b,0) = (0,±7,0)

(0,0,±c) = (0,0,±5)

By comparison, we have:

±a=±5

±b=±6

±c=±7

So, the equation of the ellipsoid becomes:

\(\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

By substituting the values, the equation of the ellipsoid becomes is

\(\frac{x^{2} }{36}+\frac{y^{2} }{49} +\frac{z^{2} }{25} =1\)

.An ellipse is the set of all points on a plane whose distance from two fixed points F and G add up to a constant. In an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis.For  a circle both these have the same value.

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Answer:

-24

Step-by-step explanation:

Answer:

10.9451≈10.9 feet

Step-by-step explanation:

sinT= hypotenuse/ opposite = x/5.8

sin32= x/5.8

x*sin 32=5.8

x=5.8/sin 32= 10.9451≈10.9 feet

The required expression can express h in terms of A and b as \($ h = \frac{2A - a}{b} $$\)

Mathematical expressions consist of at least two numbers or variables, at least one math procedure, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical procedure. An expression's form is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

First, we can start by isolating the term that contains h on one side of the equation. To do this, we will first distribute the 0.5 term to get:

A = 0.5a + 0.5bh

Then, we can subtract 0.5a from both sides to get:

A - 0.5a = 0.5bh

Next, we can divide both sides by 0.5b to isolate h:

\($ \frac{A - 0.5a}{0.5b} = h $$\)

Simplifying the expression further, we can see that:

\($$ \boxed{h = \frac{2A - a}{b}} $$\)

Therefore, we can express h in terms of A and b as:

\($ h = \frac{2A - a}{b} $$\)

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Answer: yes

Step-by-step explanation:

adding 50 40 30 20 10 and 0 gets you 150 so 2nd place gets 40

Answer:

See below.

Step-by-step explanation:

10-n≤4+3n

-10    -10

-n≤-6+3n

-3n    -3n

-4n≤-6

/-4   /-4

n≥1.5

-hope it helps

The Mean Absolute Deviation (MAD) is =3.5.

The Mean Absolute Deviation (MAD) of the sales and forecasts is 3.5.

MAD is calculated by taking the absolute value of the difference between each forecast and sales figure, then finding the mean of the absolute values.

In this case, MAD = |8-5| + |10-6| + |15-11| + |9-12|/4 = |3| + |4| + |4| + |-3|/4 = 10/4 = 2.5. The answer is C) 3.5.

Mean Absolute Deviation (MAD) is a statistical measure that calculates the average absolute difference between each data point and the mean of the data set. It provides a measure of the variability or dispersion of the data set.

MAD is calculated by taking the absolute value of the difference between each data point and the mean, summing these absolute differences, and then dividing the result by the number of data points. This yields the average absolute deviation from the mean.

MAD is often used as an alternative to standard deviation, particularly when the data set contains outliers or extreme values. It is also a useful measure when the data is not normally distributed, as it is less sensitive to extreme values than the standard deviation.

MAD is expressed in the same units as the data set, which makes it easy to interpret.

A smaller MAD indicates less variability in the data, while a larger MAD indicates greater variability.

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Answer:

D.   -6

Difference between two terms are -6.

we want to identify with transformation was applied to the triangle to get the one on the left. Note that a translation would leave the triangle in the same orientation. As the triangle on the left does not have the same orientation as the one on the right, we can immediately discard option C.

Also, note that when we reflect on the x axis, the x coordinates are still the same. This means that under a reflection on the x axis, the triangle should remain on the same "side" of the plane. That is, on the right. As the triangle on the left is on a the left side of the plane, we can also discard option A.

So the only remaining options are B and D.

Recall that a rotation about a points means that we are keeping that point fixed.

Also, remember that if we are rotating counterclockwise, we are rotating on the opposite direction as the clocks normally rotate.

Note that if we apply a 90° rotation counterclockwise about the origin, we would get the following triangle

which doesn't look like the triangle we are given. So we can discard option B as well.

This means that the correct option is option D

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

\(\frac{5}{20} = \frac{1}{4} = \frac{4}{16}\)

Step-by-step explanation:

Given

\(Fraction = \frac{5}{20}\)

Required

Get equivalent fractions

\(Fraction = \frac{5}{20}\)

Divide numerator and denominator by 5

\(Fraction = \frac{5/5}{20/5}\)

\(Fraction = \frac{1}{4}\)

Multiply the numerator ad denominator by 4

\(Fraction = \frac{1 * 4}{4 * 4}\)

\(Fraction = \frac{4}{16}\)

Hence:

\(\frac{5}{20} = \frac{1}{4} = \frac{4}{16}\)

Option A answers the question

Answer:loser

Step-by-step explanation:

Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.

the image given is

now in a given isoceles triangle, two sides are equal

from the diagram above, 47 and x are equal

now we have the values of two sides i. e 47, 47 (which is was x). we can use these values to find the value of y

rememeber that sum of angles in a given triangle is equal to 180 degrees

from the calculations above, x = 47, y = 86

Answer:

if no adult ones went, 30 students could go.

Step-by-step explanation:

If the cost of the student was 8, and there were 30 students going theoretically, this would be the most logical answer, since 8 multiplied by 30 is exactly 240

Answer:

∠ 3 = 127°, ∠ 4 = 37°

Step-by-step explanation:

53° and ∠ 3 are adjacent angles and are supplementary, sum to 180°, so

∠ 3 + 53° = 180° ( subtract 53° from both sides )

∠ 3 = 127°

-----------------------------------------------------------

∠ 5 and 53° are corresponding angles and are congruent, so

∠ 5 = 53°

∠ 5, ∠ 4 and 90° lie on a straight line and sum to 180° , that is

53° + ∠ 4 + 90° = 180°

∠ 4 + 123° = 180° ( subtract 123° from both sides )

∠ 4 = 37°

Answer:

10. 127°

11. 37°

Step-by-step explanation:

We have two perpendicular angles and two diagonal angles.

The horizontal one, we will mark A.

The vertical one, we will mark B.

The lower diagonal, we will mark C.

The upper diagonal, we will mark D.

We can see that the diagonals are parallel.

Angle ∠ACat3* has an angle of 53°.

*There are two angles on AC. The "at3" part means that the angle is located at the mark of three.

Since line C is straight, the two angles that are split by line A will be supplementary*.

*Meaning that the angles will add up to 180°.

180 - 53 = 127

Angle ∠ACat3 has an angle of 127°.

So, for ten, 127° is your answer.

Now for eleven.

We know that A and B intersect, and make 90° angles. Let's flip this to the other side of A and B.

Angle ∠AB affects 4 and 5. This means that the angle of 4 plus the angle of 5 will be complementary*.

*Meaning that the angles will add up to 90°

Since we know that C and D are parallel, and that the bottom side is 53°, and that the angles will be complementary, we can subtract 53 from 90 to get our answer.

90 - 53 = 37

Angle ∠ACatBat4 has an angle of 37°.

So, for eleven, 37° is your answer.

Hope this helps. Have a nice day.

We have successfully factored the trinomial using the factoring by grouping method.

To factor the trinomial f(X) = 14X² + X - 3, we need to find two binomials that, when multiplied together, give us the original trinomial.

We can use a method called "factoring by grouping" to do this.

Here are the steps:

Multiply the coefficient of the X² term by the constant term.

In this case, we get:

14 × (-3) = -42

Find two factors of -42 that add up to the coefficient of the X term, which is 1.

In this case, we can use -6 and 7:

-6 × 7 = -42

-6 + 7 = 1

Rewrite the middle term of the trinomial using the two factors from Step 2. We get:

14X² - 6X + 7X - 3

Group the first two terms and the last two terms and factor out the greatest common factor from each group. We get:

2X(7X - 3) + 1(7X - 3)

Notice that both groups have a common factor of (7X - 3).

Factor out this common factor to get:

(7X - 3)(2X + 1)

The factored form of the trinomial f(X) = 14X² + X - 3 is (7X - 3)(2X + 1).

We can check our answer by multiplying these two binomials together using the distributive property:

(7X - 3)(2X + 1) = 14X² + 7X - 6X - 3

= 14X² + X - 3

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The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

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Answer:

36

Step-by-step explanation:

hello

we need to take 80% of 45

\(\dfrac{80*45}{100}=\dfrac{3600}{100}=36\)

so there are 36 fiction books

hope this helps

Answer:

36

Step-by-step explanation:

\((80 \times 100) \times 45 = 36\)

Fiction books are 36

nonfiction books are 9

Answer:

y=1/6x+2

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 1/6. So you can right away fill in the equation for a line somewhat to read:

y=1/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(12,4). When x of the line is 12, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (12,4).

So, why not plug in for x the number 12 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(12,4). y=mx+b or 4=1/6 × 12+b, or solving for b: b=4-(1/6)(12). b=2.