What is 3% of 70? Round to the nearest hundredth (if necessary).

The dimensions that minimize the perimeter are 41.6, 41.6.

According to this statement

we have to find the dimensions of the given rectangle with the help of the area and perimeter of rectangle.  

So, For this purpose, we know that the

The area is given as:

A = 1728

Let the dimension be x and y.

A = xy = 1728

So, we have:

Make x the subject

x = 1728/y

Then

The perimeter is calculated as:

P = 2(x +y)

substitute x here then

P = 2(1728/y +y)

P = 3456/y + 2y

And differentiate it then

-3456/y^2 +2 = 0

Then

3456/y^2 = 2

2y^2 = 3456

y = 41.6 then find x

and x = 1728/41.6

x = 41.6.

So, The dimensions that minimize the perimeter are 41.6, 41.6

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Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Answer:

212° = F

Step-by-step explanation:

We know that,

9/5C + 32 = F

So, if C = 100°, then,

9/5 × 100 + 32 = F

900/5 + 32 = F

180 + 32 = F

212° = F

Hope it helps ⚜

\(\boxed{\sf \displaystyle{\int}x^ndx=\dfrac{x^{n+1}}{n+1}}\)

\(\\ \sf\longmapsto \displaystyle{\int}\dfrac{1}{x^2-x+1}\)

\(\\ \sf\longmapsto \displaystyle{\int}x^{-2}-x^{-1}+1\)

\(\\ \sf\longmapsto \displaystyle{\int}x^{-2}-\displaystyle{\int}x^{-1}+\displaystyle{\int}1\)

\(\\ \sf\longmapsto \dfrac{x^{-2+1}}{-2+1}-\dfrac{x^{-1+1}}{-1+1}+1\)

\(\\ \sf\longmapsto \dfrac{x^{-1}}{-1}-\dfrac{x^0}{0}+1\)

\(\\ \sf\longmapsto -\dfrac{1}{x}-\dfrac{1}{0}+1\)

\(\\ \sf\longmapsto -\dfrac{1}{x}-\infty+1\)

\(\\ \sf\longmapsto \infty\)

According to the given work and time, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

Julio can change a tire in 5 minutes, while his twin brother Jaden takes 10 minutes. We need to determine how much time it would take for both brothers, working simultaneously, to change one tire if Julio only works for 2 minutes.

Let's assume that the time it takes for both brothers working together to change one tire is represented by "t" minutes. We can set up a proportion based on the work rates of Julio and Jaden:

Julio's work rate: 1 tire / 5 minutes

Jaden's work rate: 1 tire / 10 minutes

Combined work rate: 1 tire / t minutes

According to the work rate principle, the combined work rate is the sum of the individual work rates. Therefore, we have the equation:

1/5 + 1/10 = 1/t

To find the value of "t", we need to solve this equation. Multiplying through by the least common denominator (LCD) of 10t, we get:

2t + t = 10

Combining like terms, we have:

3t = 10

Dividing both sides by 3, we find:

t = 10/3

So, it would take both Julio and Jaden working simultaneously approximately 3.33 minutes (or 3 minutes and 20 seconds) to change one tire if Julio only works for 2 minutes.

Therefore, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

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Answer:

24 pots 2 plates

Step-by-step explanation:

Answer:

24 pots and 2 plates

Step-by-step explanation:

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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is this for the test on schoolobjects?

Answer:

The answer is d 390cubic feet

Step-by-step explanation:

multiply 5x13x6=390

Answer:

hmmmmmmmm

Step-by-step explanation:

yea i really dont know

A regular polygon with an interior angle of 162° has 20 sides. To calculate the number of sides in a regular polygon given the measure of an interior angle.

We can use the formula:

n = 360° / (180° - A)

where n is the number of sides and A is the measure of the interior angle.

For an interior angle of 160°:

n = 360° / (180° - 160°) = 360° / 20° = 18

Therefore, a regular polygon with an interior angle of 160° has 18 sides.

For an interior angle of 162°:

n = 360° / (180° - 162°) = 360° / 18° = 20

Therefore, a regular polygon with an interior angle of 162° has 20 sides.

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Answer:

C≈69.12

Step-by-step explanation:

C=2πr=2·π·11≈69.11504

The linear equations for each situation would be: F = 6t + 100 and S = 16t + 30.

The amount of money Skylar and Faith would have saved in the week that they both have the same amount of money saved is: $142.

A linear equation that models a situation can be expressed as y = mx + b, where the unit rate or slope value is represented as m, and the y-intercept or initial value (starting value) is the value of b.

Equation that represents the savings made by Skylar:

Unit rate (m) = $16 per week

Starting value/y-intercept (b) = $30

S = y

t = x

The equation for Skylar would be written by substituting m = 16 and b = 30 into S = mt + b:

S = 16t + 30.

Equation that represents the savings made by Faith:

Unit rate (m) = $6 per week

Starting value/y-intercept (b) = $100

F = y

t = x

The equation for Skylar would be written by substituting m = 6 and b = 100 into F = mt + b:

F = 6t + 100.

They will both saved the same amount of money, when F = S. Therefore:

16t + 30 = 6t + 100

Solve for t

16t - 6t = -30 + 100

10t = 70

t = 7

Substitute t = 7 into any of the equations:

6t + 100 = 6(7) + 100

= 142.

Therefore, they would both save $142.

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Answer:it’s D

Step-by-step explanation:

Answer:

0.053 kg

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

y = 200·1.15^t

Step-by-step explanation:

The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as ...

Answer:

becuase it is evil

Step-by-step explanation:

the will be evil and will become bad :)

Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

a) the margin of error is 1.675. b) the sample mean is 22.425. c) If the true mean turned out to be 19.45, I would be surprised.

a) The margin of error can be found by taking the difference between the upper limit and the lower limit of the confidence interval and dividing by 2. So, the margin of error is (24.10 - 20.75)/2 = 1.675.

b) The sample mean can be found by taking the average of the upper limit and the lower limit of the confidence interval. So, the sample mean is (24.10 + 20.75)/2 = 22.425.

c) If the true mean turned out to be 19.45, I would be surprised because it falls outside of the 95% confidence interval (20.75, 24.10). This means that there is only a 5% chance that the true mean would fall outside of this interval, so it would be surprising if it did.

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Answer:

$9,011.20

Step-by-step explanation:

I may have messed up with the calculation but I believe the answer is $9,011.20.

Answer:

15,840

Step-by-step explanation:

3 x 24 months = 72

72% of 22,000 = 15,840

:)

The maximum value of f(x, y)=x2-x-y on the region where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 is 1.

To find the maximum value, we can set up a system of inequalities and solve it:

0 ≤ x ≤ 1
0 ≤ y ≤ 1
f(x, y)=x2-x-y

Since both x and y are greater than or equal to 0, their product will also be greater than or equal to 0. Therefore, the maximum value of the equation is when x = 1 and y = 0, since it maximizes the positive value of x2 while minimizing the negative value of -x-y. This means that the maximum value of f(x, y) is 1.

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The maximum value of f(x,y)=x^{2}-x-yf(x,y)=x 2 −x−y on the region where \{(x, y): 0 \leq x \leq 1,0 \leq y \leq 1\} is 0.

To find the maximum value, we need to find the critical points of the function and test them within the given region. The critical points are where the partial derivatives of the function are equal to 0.

The partial derivative with respect to x is:
f_x(x,y)=2x-1

The partial derivative with respect to y is:
f_y(x,y)=-1

Setting these partial derivatives equal to 0, we get:
2x-1=0 --> x=1/2
-1=0 --> no solution for y

So the only critical point within the given region is (1/2, y) for any value of y. However, since the partial derivative with respect to y is always -1, the function is decreasing with respect to y. Therefore, the maximum value will occur when y is at its smallest value, which is 0.

Plugging in x=1/2 and y=0 into the original function, we get:
f(1/2,0)=(1/2)^{2}-(1/2)-0=0

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\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{3}{4} + \dfrac{1}{2}}\)

\(\mathsf{= \dfrac{3}{4} + \dfrac{1\times2}{2\times2}}\)

\(\mathsf{= \dfrac{3}{4} + \dfrac{2}{4}}\)

\(\mathsf{= \dfrac{3 + 2}{4 + 0}}\)

\(\mathsf{= \dfrac{5}{4}}\)

\(\mathsf{= 1 \dfrac{1}{4}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{5}{4}\ or \ 1 \dfrac{1}{4}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

The simplified form of like terms in -3(u+6) -4(u+5) is 7u = -38.

Similar variables and powers are defined as like terms. It is not necessary for the coefficients to agree. When two or more terms do not share the same variables or powers, they are said to be unlike terms. Unless there is a power, the variables' order is irrelevant.

Two expressions joined by an equal sign form a mathematical statement known as an equation.

Given that,

Expression is -3(u+6) -4(u+5)

Simplifying the equation,

-3u-18-4u–20 = 0

-7u -38 = 0

-7u = 38

7u = -38

Therefore 7u = -38 is the simplifief form of like term in -3(u+6) -4(u+5).

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a. The least-squares regression equation is: y = -0.0579x + 7.4913

b.  The Coefficient of determination which is R² = 0.3072.

c.  We will  reject the null hypothesis and arrive at the conclusion that there is a significant linear relationship between age and cortex thickness using ANOVA

d. The thickness when the age is 77 is  is 2.172 mm

a)  The equation of line is of the  form y = mx + b,

y =  cortex thickness

x = the age.

The Regression equation: y = -0.0579x + 7.4913

b)

R² = 0.3072 from the regression analysis and can be explained that  30.72% of the variance in cortex thickness can be explained by age.

c)

Using a significance level of 0.05,

we will make a comparison from the p-value  with the slope coefficient. Then the p-value is less than 0.05 and we will reject the null hypothesis and conclude that there is a significant linear relationship.

d)  y = -0.0579x + 7.4913

and we have x = 77

y = -0.0579(77) + 7.4913

y = 2.172

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complete question:

The average thickness of the cortex, the outermost layer of the brain, decreases

age. The table shows the age and cortex thickness (in mm) from a sample of 9

random subjects:

Age

85

75

60

64

62

70

65

80

72

Thickness

1.8

2.0

2.9

2.8

2.8

2.2

2.7

1.9

2.0

a) Calculate the least-squares regression equation.

b) Calculate the Coefficient of Determination.

c) Test using an ANOVA whether the linear relationship is significant (use

a significance level of 0.05).

d) What is the thickness when the age is 77

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer:

12 children

Step-by-step explanation:

1/4 of 16 is 4. 16 subtract the 4 slices she sold is 12 slices of cake for each of her children.

Answer:

12children (wow)

Step-by-step explanation:

1/4 is equal to 4/16 thats how much cake was left so she gave away 12 piecs (3/4 of the cake or 12/16)

16-4 = 12

Answer:

3/4

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Because if you see all of the choices on top of the row and you put them on a graph and you fold it on the y-axis you will see on the bottom row those are the reflection of the top row so I would go with A! I hope this helps you! Have a great day.