Please help!! Equation is in image below.

The maximum amount of water that the tank can hold is 82,824 cubic inches, which corresponds to option (a) in the given answer choices.

To find the maximum amount of water that the tank can hold, we need to find the volume of the tank. The volume of a rectangular prism (which is what a fish tank is) can be found by multiplying the length, width, and height of the prism.

Volume = length x width x height

Plugging in the given dimensions of the fish tank, we get:

Volume = 34 in x 58 in x 42 in

Volume = 82,824 in^3

Therefore, Correct option is A.

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Answer:

D) a trapezoid with congruent diagnols

Explanation:

When none of the sides of a trapezoid are congruent, then it is a non isosceles trapezoid or a scalene trapezoid.

Answer:

  D.  the length of the quarter

Step-by-step explanation:

Given Patrick started playing 4 minutes into the 2nd quarter, and played until the end of the 3rd quarter, you want to know how long Patrick played.

If q is the length of a quarter, Patrick's playing time is ...

  2q -4 . . . . minutes

In order to give this a numerical value, we need to know the value of q.

The most important variable to the problem is ...

  D.  the length of a quarter.

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Answer:

7) .15 + .7 = .85, .1 + .7 = .8

9) Another way to write 44n (44

times n) is 44•n.

Another way to write 44 ÷ n (44

divided by n) is 44/n.

10) $.25 × 7 = $1.75

11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?

The percent of change in the price of the book is 50%.

To calculate the percent of change, we first need to find the difference between the original price and the new price. In this case, the original price of the book was $10, and the new price is $5. To find the difference, we can subtract the new price from the original price, which is:

$10 - $5 = $5

Now, we need to express this difference as a percentage of the original price. To do this, we divide the difference by the original price and then multiply by 100. In other words, we need to find the percentage that the original price has changed by. This can be represented mathematically as:

Percent of change = (Difference / Original price) x 100

Plugging in the values we found earlier, we get:

Percent of change = ($5 / $10) x 100

Percent of change = 0.5 x 100

Percent of change = 50%

This means that the price of the book has decreased by 50% from the original price of $10 to the sale price of $5.

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Answer:

Answers down below!

Step-by-step explanation:

Mean: 38.2

Median: 34

Range: 56

Mode: 13 and 34

Hope this helps!

The calculated value of the length of segment KL is 4 units

From the question, we have the following parameters that can be used in our computation:

Radius, r = 3

LM = 2

JK = 3

The length KL is calculated as

KL² = JL² - JK²

Where

JL = r + LM = 3 + 2 = 5

Substitute the known values in the above equation, so, we have the following representation

KL² = 5² - 3²

KL² = 16

Take the square roots

KL = 4

Hence, the length is 4 units

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The value of 3×(2×-5) is 30

What is meant by the term value?

Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.

According to the given information

To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:

2×-5 = -10

Then, we can substitute this value into the original expression and simplify further:

-3×(-10) = 30

Therefore, -3×(2×-5) = 30.

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The expression[tex](2x^3y)(3x^4y^2)[/tex] simplifies to [tex]6x^7y^3[/tex]. The coefficients are multiplied, and the variables are combined by adding their exponents. Option C.

To simplify the expression [tex](2x^3y)(3x^4y^2),[/tex] we can multiply the coefficients and combine the variables with the same base by adding their exponents.

Multiplying the coefficients, we have:

2 * 3 = 6

For the variables, we multiply the x terms by adding their exponents (3 + 4 = 7), and the y terms by adding their exponents (1 + 2 = 3).

Therefore, simplifying the expression [tex](2x^3y)(3x^4y^2)[/tex] gives us:

[tex]6x^7y^3[/tex]

Hence, the simplified form of[tex](2x^3y)(3x^4y^2)[/tex] is[tex]6x^7y^3[/tex]. Option c is correct.

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Answer:

C:6x7y3

Step-by-step explanation:

i took the test and got it right

The normal approximation for the given binomial distribution with p = 0.10 and n = 40 has a mean of 4 and a standard deviation of 1.93.

The binomial probability distribution can be approximated by the normal distribution when certain conditions are met, such as a large sample size and a probability of success not too close to 0 or 1.

In this case, n = 40 and p = 0.10. To determine if the normal approximation is appropriate, we can check if both np and n(1-p) are greater than or equal to 10

np = 40 x 0.10 = 4

n(1-p) = 40 x 0.90 = 36

Both np and n(1-p) are greater than or equal to 10, so the normal approximation is appropriate.

The mean of the binomial distribution is given by μ = np = 4, and the standard deviation is given by σ = √(np(1-p)) = √(40 x 0.10 x 0.90) ≈ 1.93.

To find the mean and standard deviation of the normal approximation, we use the same mean and standard deviation values

μ = np = 4

σ = √(np(1-p)) ≈ 1.93

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The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.

The supply function of a commodity is given as, p= 70q

The demand function of the commodity is given as, p= -q^2+12000

We know at equilibrium condition of market,

Supply of a commodity is equal to its demand in the market.

Therefore,

70q = p = -q^2+12000

⇒ 70q = -q^2+12000

⇒ q^2+ 70q -12000 = 0

⇒ q^2+ 150q - 80q -12000 = 0

⇒ q( q + 150) - 80( q + 150) = 0

⇒ (q -80) ( q + 150) = 0

⇒q = 80 ad q = -150

We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.

Therefore, the equilibrium quantity of the commodity is 80 units.

Thus, p = 70(80) = 5600 (in monetary units)

Therefore, equilibrium price of the commodity is 5600 (in monetary units).

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The complete factorization of the quadratic equation, would lead to the factor being (5y + 1)(4y - 1).

To factor the quadratic expression 20y² + 3y - 2 completely, we can use the "ac method" (product-sum method).

Rewrite the quadratic expression using these two numbers:

20y² - 5y + 8y - 2

Now, factor by grouping:

5y(4y - 1) + (4y - 1)

Now, we can see that there is a common factor of (4y - 1) in both terms:

(5y + 1)(4y - 1)

So, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).

In conclusion, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).

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The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

Step-by-step explanation:

This is a trinomial quadratic equation

x^2-9x+8

= x^2 -x-8x+8

= (x-1)(x-8)

The mean of the game is 9

To find the mean of a game with two possible outcomes, we need to multiply the value of each outcome by its probability and then add the results.

Let X be the random variable representing the outcome of the game. The first outcome has a value of 5 and a probability of 0.2, while the second outcome has a value of 10 and a probability of 0.8.

Thus, the expected value or mean of the game can be calculated as:

E(X) = (0.2 x 5) + (0.8 x 10)

= 1 + 8

= 9

Therefore, the mean of the game is 9

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Answer: 162

Step-by-step explanation:

so you will have to do 62+28+75=162

15 member enjoy both dancing and hiking.

The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.

We have,

Member enjoy dancing, n(D) = 62

Member enjoy hiking, n(H) = 28

Member enjoy dancing or hiking, n(D ∪ H) = 62

Using Conditional probability

n (D ∪ H) = n(D) + n(H) - n (D ∩ H)

75 = 62 + 28 - n (D ∩ H)

75 - 90 = - n (D ∩ H)

n (D ∩ H) = 15

Thus, 15 member enjoy both dancing and hiking.

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Answer:

Answers in the picture. Thanks

To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).

The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.

So, the table representing these values would look like this:

x               y

-2             9

-1              5

0               1

1               -3

2              -7

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Answer:  the value of the expression is 24.6, which corresponds to option C.

Step-by-step explanation: In order to assess the expression, we must adhere to the sequence of operations (PEMDAS) and execute the computations in the subsequent manner:

Begin by calculating the expression in the parentheses as a priority: (31.5 squared minus 93) equals negative 61.5.

Next, perform the operation of dividing -61.5 by -2.5 which results in 24.6.

Answer:

2(1/2)(8)(15) + 17(2) + 8(2) + 15(2)

= 200 cm^2

The measure of the third angle in the triangle is 80 degrees.

The sum of the angles in a triangle is always 180 degrees.

Therefore, to find the measure of the third angle in the triangle with angle measures of 40° and 60°,

We can subtract the sum of these two angles from 180°:

180° - (40° + 60°) = 180° - 100° = 80°

Therefore, the measure of the third angle in the triangle is 80 degrees.

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Her current checking account balance is $2,641.50.

To find Carrington's current checking account balance, we need to add up all the deposits and subtract all the withdrawals from her starting balance.

Starting balance = $800

Deposits = $2,800

Withdrawals = $310 + $88 + $35.50 + $150 + $375 = $958.50

Therefore, Carrington's current checking account balance is:

$800 + $2,800 - $958.50 = $2,641.50

Her current checking account balance is $2,641.50.

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Answer: It is simplified the way it is it can not be simplified anymore. its a trick question

Step-by-step explanation:

Answer:

ΔABC and ΔDEF are similar by (AA).

option (2)

Step-by-step explanation:

Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using

Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Δ = 180°

therefore using the givens:

m∠CAB = 18°

m∠ABC = 110°

m∠ACB = 180°-110°-18° = 52°

now for ΔDEF

because we know corresponding parts of similar triangles are proportional

∠DEF  ≅  ∠CAB

and because m∠ACB = 52° and m∠FDE = 52°

∠FDE  ≅  ∠ACB

Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.

so option (2)

The equation represents a linear function.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.

The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.

If the discriminant is positive, then the equation has two distinct real roots.

If the discriminant is zero, then the equation has one real root (also known as a double root).

If the discriminant is negative, then the equation has two complex roots (conjugate pairs).

In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:

b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4

Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.

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Answer:

4138158

Step-by-step explanation:

1+1+1+1+1+1+1+1+1+1+1+1+1+3+3+34

-13+6+34

-19+34

=59

4748957+84765

=4833722

59+4833722

=4833781

keep counting all of the number and then you get the same (?? iguess) answer as mine.