An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)

Without the specific GPA data for the sophomore, junior and senior classes, it's impossible to determine which of these classes had the lowest cumulative college GPA.

Unfortunately, from the data provided, we can't determine which class (sophomore, junior, or senior) had the lowest cumulative college GPA and the approximate value of that GPA. The information given relates more to correlation coefficients, random number generation, precalculus classes, and high school student classifications, but nothing specifically providing the desired GPA data.

Without specific GPA data for each class (sophomore, junior, senior), it's not possible to make an accurate deduction. An authoritative answer would be dependent on obtaining this specific data.

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Answer:

Expression is,

[tex]3 < s + 4[/tex]

Solution is -1 < s.

Step-by-step explanation:

Given phrase,

Three is less than the sum of a number s and 4,

∵ Sum of s and 4 = s + 4,

Now, in the inequality,

We use < for 'less than'

Hence, 3 is less than s + 4

[tex]\implies 3 < s + 4[/tex]

Which is the required expression,

By solving it,

[tex]3-4<s[/tex]

[tex]\implies -1<s[/tex]

Answer:

False

Step-by-step explanation:

I had this same assignment

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

The given equation is

[tex]x^2-14=-10[/tex]

Add 14 to both sides of the equation.

[tex]x^2=-10+14\\\\x^2=4[/tex]

Now, take square root both sides. Whenever, we take square root both sides, we include plus minus sign

[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]

On simplifying, we get

[tex]x=\pm2[/tex]

Brianna walked 6 miles more than she ran.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

she had got to bike a total of 2 miles, the other 3 of which she ended up walking. this means the trip was 5 miles long, all of which she walked.

walked: 8 miles.

biked: 2 miles

8 - 2 = 6 miles.

Hence, she walked 6 miles more than she ran.

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When we will solve the equation 8x+16=8x-16 by subtractig 8x from each sides then we will get,

+16=-16 which is mathematically not correct.

So, there is no solution for this system.

SOooooo I don't think I am really right but I came up with 8X9=14+5X2=23

Answer: 8.25 cm

Step-by-step explanation:

We know that the area of rectangle is given by :-

[tex]\text{Area}=\text{Length}\times\text{Width}[/tex]

Given : The length of rectangle: l= 5.25 cm

The area of rectangle:[tex] A=44.625\ cm^2[/tex]

Substitute the values of A and l in the formula given above, we get

[tex]44.625=5.25\times\text{Width}[/tex]

Divide 5.25 both sides , we get

[tex]\text{Width}=\dfrac{44.625}{5.25}=8.5[/tex]

Hence , the other length of the rectangle have to be 8.25 cm.

hamburgers = 43 + 41 = 84

spaghetti = 13 + 20 = 33

pizza = 44 +39 = 83

 since 83 & 84 are close the answer is:

Hamburgers and pizza are preferred almost equally.

Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

The expression for the perimeter of a rectangular field where the length is 30 more than twice its width, in terms of the width w, is 6w + 60.

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the length (l) of the rectangular field is 30 more than twice its width (w). So we can express the length as l = 2w + 30.

Substituting this expression into the perimeter formula, we get:

P = 2(2w + 30) + 2w

Simplifying this expression, we get:

P = 4w + 60 + 2w = 6w + 60

So, the expression for the perimeter of the field in terms of its width w is 6w + 60, which is already in its simplest form.

Answer:

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

on edge:)

No, dollar markdowns do not represent price increases to the original selling price.

In retail, a markdown refers to a reduction in the price of an item from its original selling price. When a dollar markdown occurs, it means that the price of the item has been decreased by a specific dollar amount. This reduction is typically implemented to stimulate sales, clear out excess inventory, or attract customers.

For example, if an item originally priced at $50 is marked down by $10, the new selling price would be $40. Therefore, dollar markdowns signify a decrease in the selling price relative to the original price, rather than an increase. They are a common strategy used by retailers to adjust pricing to match market demand and drive sales.

2.00 * 1.25 = 2.50

1.50 * 2.5 = 3.75

3.75 + 2.50 = $6.25 total cost

The total resistance for the given resistors connected in series is 2000 ohms.

To calculate the total resistance for resistors connected in series, you simply add up the individual resistances. In this case, the resistances are 650 ohm, 350 ohm, and 1000 ohm. So the total resistance would be:

Total Resistance = 650 ohm + 350 ohm + 1000 ohm = 2000 ohm