A fish tank has a length of 4 feet and width of 18 inches. The fish tank is 3 feet high and is filled to within 4 inches of the top of the tank. What is the volume of water in the tank?

Answer:4

Step-by-step explanation:1+1 is 2 and 2x2 is 4

Answer:

True for all values of x

The given equation 6x − 4 = -4 + 6x, is true for all values of x.

so, we get, each equation is true for all values of x.

Here, we have,

The equation 6x - 4 = -4 + 6x can be simplified as follows:

Subtracting 6x from both sides, we get:

-4 = -4

This equation states that -4 is equal to -4,

which is true for all values of x.

The equation holds true regardless of the value of x.

Therefore, the given equation is true for all values of x.

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The perimeter of the trapezoid is 26cm. Using the formula, the area is approximately 47.92cm², rounded to two decimal places.

To find the perimeter and area of the given shape, we first need to determine what type of shape it is. From the given measurements (5cm, 6cm, 7cm, and 8cm), it seems like a quadrilateral, specifically a trapezoid, as the lengths are not all equal.

To calculate the perimeter of the trapezoid, we simply add the lengths of all four sides:

Perimeter = 5cm + 6cm + 7cm + 8cm = 26cm

Now, to find the area of the trapezoid, we can use the formula:

Area = (1/2) × (sum of parallel sides) × (height)

First, let's determine the height of the trapezoid. Since it's not given directly, we can use the formula for the height of a trapezoid:

[tex]\[h = \sqrt{a^2 - (\frac{1}{2}(b_1 - b_2))^2}\][/tex]

Where:

- (a) and (b_1, b_2) are the lengths of the trapezoid's legs and bases, respectively.

Let's plug in the values:

[tex]\[h = \sqrt{6^2 - (\frac{1}{2}(8 - 5))^2}\][/tex]

[tex]\[h = \sqrt{36 - (\frac{1}{2}(3))^2}\][/tex]

[tex]\[h = \sqrt{36 - \frac{9}{4}}\][/tex]

[tex]\[h = \sqrt{\frac{135}{4}}\][/tex]

[tex]\[h = \frac{\sqrt{135}}{2}\][/tex]

Now, we can calculate the area using the formula:

[tex]\[Area = \frac{1}{2} \times (5 + 8) \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13}{2} \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13\sqrt{135}}{4}\][/tex]

So, the perimeter of the trapezoid is 26cm and the area is[tex]\(\frac{13\sqrt{135}}{4} cm^2\).[/tex]

Answer:

1 This study is best described as an experiment.

5 The response variable is the average yield for each group of 10 plots.

Step-by-step explanation:

1) This study is best described as an experiment.

This is true. This experiment indicates that study of the crops with or without fertilizers

2) The response variable is whether the corn plants had fertilizer X or not.

No the response variable is the yield

3) The explanatory variable is whether the corn plants had fertilizer X or not.

Sort of The explanatory variable is the fertilizer the levels would be whether or not it had the fertilizer

4) This is best described as an observational study.

No because they had an influence of using a particular fertilizer and a particular plot of land

5) The response variable is the average yield for each group of 10 plots.

Here we are using the fertilizers in order to increasing the yield of the crops So it clearly shows that  growth of the  corn hybrid depends upon the fertilizers(dependent or response variable)

6) The explanatory variable is the average yield for each group of 10 plots.

No the explanatory variable is the fertilizer

Answer: To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in "Lowest Terms". Lowest Terms means when the top and bottom of a fraction have no common factors.

Step-by-step explanation:

Answer:

√36 = 6

³√ 5 = 5 ^ ⅓

⁴√ 16 = 16 ^ ¼

= 2

Step-by-step explanation:

Mathematically, the square of a number, is the power of 2 to the base of that number, or the exponent 2 to the base of that number.

Such as :

The Square of 5.

=5²

= 5*5 = 25.

In thesame vain, the SQUARE of a number is to the power 2 of that number.

Hence, the SQUARE ROOT, of any number is the ROOT 2 , to that number. Such that:

Square roots of 5:

√5

= 5 ^½

√12

= 12 ^ ½

√36

= 36 ^ ½

= 6

For other expression other than 2, the rational expression will be a function of the value before the root.

Such that:

1. ³√5 = 5 ^ ⅓

2. ³√ 12 = 12 ^ ⅓

3. ³√8 = 8 ^ ⅓ = 2

4. ⁴√ 16 = 16 ^ ¼ = 2

5. ⁴√24 = 24 ^ ¼

The other goes on and on in that order

Answer:the answer is 3 years or b

Step-by-step explanation:

I got it correct on ed 2021!

Answer: 3 /2 x^3y^3z

Answer:

Simplified, it equals (3x^3*y^3*z)/2

Step-by-step explanation:

The argument discrediting Todd Burpo uses an ad hominem fallacy and a fallacy of weak induction called circumstantial ad hominem, focusing on Burpo's potential financial gain instead of the validity of his claims.

The argument presented commits a couple of logical fallacies.

Firstly, it commits the ad hominem fallacy, which is a type of fallacy of relevance.

This fallacy occurs when the arguer attacks the person making the argument instead of the argument itself.

In this case, discrediting Todd Burpo because he has a financial motivation does not address the actual content of his claims about heaven.

Secondly, there's a fallacy of weak induction known as circumstantial ad hominem.

Here, the suggestion is that Burpo’s circumstances (wanting to sell books), rather than evidence, make his claims unworthy of consideration, which is an insufficient basis to deny the merits of his arguments.

While the argument does not prove the existence of a supernatural deity, dismissing it because of the author's potential financial gain uses inappropriate grounds that do not speak to the truth or falsity of the actual claim, thus making it an invalid critique.

The burden of proof demands that a claim be established through reason and evidence, and this fallacy does not appropriately engage with either.

Answer:

4

Step-by-step explanation:

The 4 youngest, the 4 oldest, the 4 shortest, the 4 tallest. Hope this helps.

Answer:

6

Step-by-step explanation:

Answer:

5.907 kilometers.

Step-by-step explanation:

Please consider the complete question.

According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?

To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.

[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]

[tex]\text{Total distance covered by Jax}=5.907[/tex]

Therefore, Jax walked for 5.907 kilometers, while taking care of  the livestock.

Answer:

A = 70 and N=30

Step-by-step explanation:

Total - 100 cards

American League = A

National League = N

A = 2N + 10 and A+N = 100

100-10 = 90

90/3 = 30

A = 2(30) + 10 = 70

A = 70 and N=30

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

Final answer:

The cost of one ticket is $29, and if a friend pays with two $20 bills, totaling $40, Henry should return $11 in change.

Explanation:

Henry buys 6 circus tickets for a total of $174. To determine the cost of each ticket, you divide the total cost by the number of tickets:

$174 ÷ 6 tickets = $29 per ticket.

When one of Henry's friends pays him back with two $20 bills, the friend gives Henry $40 in total. To find out how much change Henry should return, you subtract the cost of one ticket from the amount the friend gave:

$40 - $29 = $11.

Therefore, Henry should give his friend $11 in change.

Answer:

62

Step-by-step explanation:

Answer:

62 units

Step-by-step explanation:

this is the answer on edg 2020

Answer: 14 grams

Step-by-step explanation:

It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:

= 56 grams ÷ 4

= 14 grams

Weight carry by 1 balloon is 14 gram

Weight of duck = 56 grams

Number of balloon need to float duck = 4

Weight carry by 1 balloon

Weight carry by 1 balloon = Weight of duck / Number of balloon need to float duck

Weight carry by 1 balloon = 56 / 4

Weight carry by 1 balloon = 14 gram

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Answer:

A part of a whole expressed in hundredths is a percent.

Answer:

12

Step-by-step explanation:

The ratio of cars to trucks to motorcycles is $4:3:2.

If there are $42$ cars and trucks total,

To get how many motorcycles are there

Sum up the ratio of cars and trucks 4:3= 4+3 = 7

Sum up the ratio of cars and trucks and motorcycles

4+3+2 =9

Let the total number of cars and trucks and motorcycles be represented as A

The total number of cars and trucks in the question is 42

(7/9) x A = 42

7A/9 = 42

cross multiply

7A = 42×9 = 378

A= 378/7 = 54

The total number of cars and trucks and motorcycles is 54

To get the number of motorcycles can be calculated through

a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is

2/9 × 54 = 2×6=12

Answer:

Geometric sequence.

Step-by-step explanation:

This is a Geometric Sequence with common ratio -2:

-2 = 1* -2

4 = -2*-2

-8 = 2 * -2.

the nth term = (-2)^(n-1).

Answer: Yolanda spent $6.60 at her favourite restaurant, including the tip.

Step-by-step explanation:

We know that 20% of 5.50 is: 1.10

So, 5.50 + 1.10 = 6.60.

Yolanda spent $6.60 at her favourite restaurant, including the tip.

Final answer:

The point (3,8) does not satisfy either of the two equations y = -5x + 1 and y = 3x - 2, therefore it is not a solution to the system of equations.

Explanation:

To determine whether the point (3,8) is a solution to the system of equations given by y = -5x + 1 and y = 3x - 2, we need to substitute the x and y values of the point into both equations to see if the equations are satisfied.

For the first equation:
y = -5x + 1
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14

The point (3,8) does not satisfy the first equation because 8 does not equal -14.

For the second equation:
y = 3x - 2
8 = 3(3) - 2
8 = 9 - 2
8 = 7

The point (3,8) does not satisfy the second equation because 8 does not equal 7.

Since the point (3, 8) fails to satisfy both equations, it is not a solution to the system of equations.

Final answer:

The point (3,8) is not a solution to the system of equations y = -5x + 1 and y = 3x - 2, as it does not satisfy either equation when substituting the values of x and y.

Explanation:

The student is asking whether the point (3,8) is a solution to the system of linear equations:

y = -5x + 1

y = 3x - 2
To determine if (3,8) is a solution, we can substitute x with 3 and y with 8 into both equations and see if they hold true.

Substituting into the first equation:
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
This does not hold true, so (3,8) is not a solution to the first equation.

Substituting into the second equation:
8 = 3(3) - 2
8 = 9 - 2
8 = 7
This also does not hold true, so (3,8) is not a solution to the second equation either.

Since (3,8) does not satisfy either of the given equations, it is not a solution to the system of equations.

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

[tex]x^2=5x+2[/tex]

[tex]x^2-5x-2=0[/tex]

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

Here, a = 1, b = -5, and c = -2, so plug these in:

[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]

OR

[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]

Thus, the answer is A.

Hope this helps!

Answer:

First one:

x = x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

x² = 5x + 2

x² - 5x - 2 = 0

Using quadratic formula:

x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)

x = [5 +/- sqrt(33)]/2

Answer:

  B.  0.123

Step-by-step explanation:

You want the probability that hours are in the top 20% of a normal distribution with µ = 80 and σ = 7, if the number of hours worked is less than 90.

The number of hours will be in the top 20% if it exceeds the 80th percentile. That value is found using the inverse normal distribution.

  P(Z) > 0.8   ⇒   Z ≈ 0.8416

The Z-score associated with 90 hours is ...

  Z = (X -µ)/σ = (90 -80)/7 ≈ 1.4286

Then the probability of interest is ...

  P(0.8416 < Z < 1.4286) ≈ 0.1234

The probability the volunteer will receive a certificate is about 0.123, choice B.

__

Additional comment

We have found the probability indicated above, which matches one of the answer choices. The wording of the question suggests that a conditional probability is needed:

  P(Z>0.8416 | Z<1.4286) . . . hours in top 20% given they are less than 90

That value would be ...

  P(Z>0.8416 | Z<1.4286) = P(0.8416 < Z < 1.4286) / P(Z < 1.4286)

  P(Z>0.8416 | Z<1.4286) = 0.1234/0.9234 ≈ 0.134

Answer: 4x _ 12

Cheese

Answer:

The GCF is 28

Step-by-step explanation:

Step 1:  Find the factors of both numbers

84 → 1,  2 ,  3 ,  4 ,  6 ,  7 ,  12 ,  14 ,  21 ,  28 ,  42 ,  84

56 → 1 ,  2 ,  4 ,  7 ,  8 ,  14 ,  28 ,  56

The factor that is the biggest common in both is the GCF.  We see that 28 is the biggest factor that matches for both numbers.

Answer:  The GCF is 28

Answer:

A) [tex]log_{5}(12)[/tex]

B) [tex]log_{8}(9)[/tex]

C) [tex]log_{9}(25)[/tex]

Step-by-step explanation:

Hello! I am going to walk you through how some simple rules regarding logs!

For A, we will use the 'AM' rule! When adding logs of the same base (in this case 5), you multiply the two answers (3 and 4)!

3 · 4 = 12, giving us [tex]log_{5}(12)[/tex]!

For B, we will use the 'SD' rule! When subtracting logs of the same base (in this case 8), you divide the two answers (9 and 5)!

9/5 = [tex]\frac{x}{5}[/tex] ; simplify! (9/5) x 5 = 9, giving us [tex]log_{8}(9)[/tex]!

For C, we will use the 'MS' rule! When multiplying a number times a logarithm, you can get the same argument by removing the coefficient (2) and squaring the log's answer (5)!

[tex]5^{2} = 25[/tex], giving us [tex]log_{9}(25)[/tex]!

I hope that this helps!

Answer:

2.) P(Chocolate, sprinkles)

Step-by-step explanation:

A lot of people choose chocolate ice cream over other flavors, and a lot of people also like sprinkles on their ice cream.

Answer:

11/2

Step-by-step explanation:

[tex] \frac{ {x}^{2} + {y}^{3} }{2 + x} \\ [/tex]

when,

[tex]x = 6 \\ y = 2[/tex]

Now substitute the value we get,

[tex] \frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2} [/tex]

Answer:

google 72 percent of 138$ boom asnwer

Step-by-step explanation:

Best Buy would sell the 26" LED TV, which they bought from SONY for $138 each, at $237.36 in the store after adding a 72% mark-up.

The question is asking how much a 26" LED TV, bought by Best Buy from SONY for $138 each, would cost in the store if Best Buy charges 72% more than this. We can solve this problem using basic multiplication and addition.

So, this 26" LED TV from SONY would cost $237.36 in Best Buy's store.

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Answer:

$7.5 is the ROI on each sweatshirt

Step-by-step explanation:

In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.

To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.

Mathematically let’s calculate the cost from production to delivery.

That would be ;

$15 + $3 + $0.5 = $18.5

sales price is $26

His ROI will be $26 - $18.5 = $7.5

Answer:

The area of the triangular sail is 20 square inches.

Step-by-step explanation:

We are given the following in the question:

Dimensions of triangular sail:

Base, b = 8 inches

Height, h = 5 inches

Area of triangular sail =

= Area of triangle

[tex]=\dfrac{1}{2}\times b\times h[/tex]

Putting values, we get,

[tex]A = \dfrac{1}{2}\times 8\times 5\\\\A = 20\text{ square inches}[/tex]

Thus, the area of the triangular sail is 20 square inches.

Answer: 194 degrees

Step-by-step explanation: