Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size and shape, with straight cuts parallel to the sides of the pan. Each cut must be made entirely across the pan. Grandma wants to make the same number of interior pieces as pieces along the perimeter of the pan. What is the greatest possible number of brownies she can produce

Answer:

2,341.779

Step-by-step explanation:

The exact value of the given trigonometric function cot(π/3) is √3/3.

The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.

Here, given that an angle of π/3, which is not a right angle.

So, we need to use the trigonometric identities to find the value of cot(π/3).

cot(θ) = 1/tan(θ)

where θ is an angle in radians.

We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.

So, cot(π/3) can be expressed as:

cot(π/3) = 1/tan(π/3)

= 1/√3

Multiplying the numerator and denominator by √3/√3, we get:

cot(π/3) = √3/3

Therefore, the exact value of cot(π/3) is √3/3.

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Answer:

.8L

Explanation:

Logic

The liters of water left are 0.8 liters.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The quantity of water in a water bottle is 1 liter.

The amount of water Tom drank is 200 milliliters.

Let x be the amount of water left in the bottle.

The liter has to be converted into milliliters.

1 liters = 1000 milliliters

The equation formed is,

1000 - 200 = x

x = 1000 - 200

x = 800 milliliters.

The water left in the water bottle is 800 milliliters.

1000 milliliters = 1 liters

800 milliliters = 0.8 liters

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Answer:   \(\frac{3}{4}\)c

Step-by-step explanation:

       If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):

               3/4c

- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.

- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.

The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:

\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)

Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.

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Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:

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Answer: Cytokinesis

Step-by-step explanation:

Hope this helped :)

Answer:

Try Cytokinesis

Step-by-step explanation:

This might help!

Anwser:

2  X=2

Step-by-step explanation:

Because I am right!

It won’t let me upload the answer, so I’ll message it to you.

Various data points are shown in this scatter plot (x, y), where x is age and y is cost of eating out.  As age, or x, increases, the cost of eating out, y also increases.  The plot has an upward trend, with one outlier.

If you need any more explanation ill be glad to help

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

Answer:

C. x is an even number

Step-by-step explanation:

The open statement is x is an even number. The correct option is C.

A statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank or unknown is filled in or a quantity is substituted for the unknown. The sentences "n + 5 = 3" and "it is divisible by 6" are both open sentences.

here te open statement is given as x is an even number because the statement says that there is an unknown number which is even in nature. So there is a blank for the number the number can be anything from all the even numbers.

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Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.

Answer:

Step-by-step explanation:

Because of the givens (a right angle a common Hypotenuse and a leg in each triangle) ΔSUT and ΔSUV are congruent.         HL

That means that < SUT = < SUV  so what you get out of that is

w + 10 = 3w                                    Subtract w from both sides.

w - w + 10 = 3w - w

10 = 2w                                          Divide both sides by 2

10/2 = 2w/2

w = 5

I don't know what A with a check mark below it is.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer

8 Meters

Step-by-step explanation:

im  sorry if i get it wrong

The Answer is 8

cuz that's how math works i think

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

Answer:

k(t) =  (sin3, cos3, 2) + [(t - 1)(cos3, -3sin3, 7)]

Step-by-step explanation:

For a path r(t), the general equation k(t) of its tangent line at a specified point r(t₀) is given by;

k(t) = r(t₀) + r'(t₀) [t - t₀]            -----------------(i)

Where

r'(t) is the first derivative of the path r(t) at a given value of t.

From the question:

r(t) =  (sin3t, cos3t, 2\(t^{7/2}\)) and t₀ = 1

=> r(1) = (sin3, cos3, 2) at t₀ = 1

Find the first derivative component-wise of r(t) to get r'(t)

∴ r'(t) = (cos3t, -3sin3t, 7\(t^{5/2}\))

=>r'(1) = (cos3, -3sin3, 7)

Now, at t₀ = 1, equation (i) becomes;

k(t) = r(1) + [ r'(1) (t-1)]    [substitute the necessary values]

k(t) =  (sin3, cos3, 2) + [(t - 1)(cos3, -3sin3, 7)]

Answer:

(0,3.5)

Step-by-step explanation:

midpoint formula :)

Answer:

ngl no idea

Step-by-step explanation:

(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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The volume V of the solid which obtained by rotating the region bounded by the curves, x + y = 5, x = 9-(y-2)² , about x-axis is equals to the -271π cubic units.

Cylindrical shell Method : The volume of a solid of revolution can be calculated by various methods, in particular by applying the shell method, in a specific case when the region that generates the solid rotates around the x-axis, We can use the following formula:

\(V=2π∫_{c}^{d } r(y)[g( y) −h(y)]dy \)

Here r(y) is the radius and [g(y)−h(y)] is the height of cylindrical shell. We have the curves

x = 9 - (y − 2)², x + y = 5 --(1)

The graph of the this curves are shown above. Calculation of intersection points

x = 9 - (5- x − 2)² = 9 - (3 - x)² ( from (1) y

= 5 - x)

=> x = 9 - ( x² + 9 - 6x )

=> - x² - 9 + 6x + 9 = x

=> x² - 5x = 0

=> x( x - 5 ) = 0

=> x = 0 and x = 5

Then from (1) , when x = 0 , y = 5 and when x = 5 => y = 0

So, the intersection points are P₁(0,5), P₂(5,0). Now, g(y) = 5 - y , h(y) = 9 - (y − 2)², c = 0 , d = 5 r(y) = y . So, volume of the solid is calculated using the above formula is \(V=2π∫_{0}^{5 } y[5 - y −(9 - (y−2)²)]dy \\ \)

\(V=2π∫_{0}^{5} y[5-y − 9 + y² + 4 - 6y]dy \\ \)

\(V=2π∫_{0}^{5} y(y² - 7y )dy\)

\(V=2π∫_{0}^{5}({y}^{3} -7 {y}^{2})dy\)

\(V=2π[\frac{ {y}^{4} }{4} - \frac{7 {y}^{3} }{3} ]_{0}^{5}\)

\(V=2π[\frac{ {5}^{4} }{4} - \frac{7 ({5}^{3}) }{3} - 0 ]\)

\(V = 2π[\frac{ {625} }{4} - \frac{875}{3} ]\)

Hence, required volume is equals to -271π cubic units.

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Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

The correct option is a. 65 to 89.

Step-by-step explanation:

According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.

• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.

• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.

The information provided is:

\(\mu=77\\\sigma = 6\)

Use the Empirical rule to compute the middle 95% of the distribution as follows:

\(P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\\mu-2\sigma=77-(2\times 6)=65\\\\\mu+2\sigma=77+(2\times 6)=89\\\\\Rightarrow P(65\leq X\leq 89)=0.95\)

Thus, the correct option is a. 65 to 89.

Answer:

t = 13

Step-by-step explanation:

By the definition of an isosceles triangle,

Two sides of the isosceles triangle ABC will be equal in measure.

Therefore, AC = BC

Equation for the value of 't' will be,

(2t + 5) = (3t - 8)

3t - 2t = 5 + 8

t = 13

Therefore, t = 13 will be the answer.

Answer:

11/48 = 0.02083

I'm pretty sure-