6.71 x 10^6 divided by 3.6185 x 10^4

Answer:

Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 1120 ft.

L = 100 + W

find:  Width (W)

plugin values into the formula:

1120 = 2(100 + W) + 2W

1120 = 200 + 2W + 2W

1120 - 200 = 4W

W = 920 / 4

W = 230 ft.

proof:

P = 2(100 + 230) + 2(230)

1120 = 660 + 460

1120 = 1120 ---ok

a) The 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

b) The 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.18, 0.40) cm.

(a) To find a 95% confidence interval for the mean length of the skulls of this species of bird, we can use the following formula:

mean ± (t-score * standard deviation / square root of sample size)

Where mean is the sample mean (5.68 cm), standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 1.833.

Plugging in the values, we get:

5.68 ± (1.833 * 0.29 / √(10))

= 5.68 ± 0.33

So the 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

(b) To find a 95% confidence interval for the true standard deviation of the skull length of the given species of bird, we can use the following formula:

standard deviation / √(sample size) * t-score

Where standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 2.306.

Plugging in the values, we get:

0.29 / √(10) * 2.306

= 0.11

So the 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.29 - 0.11, 0.29 + 0.11) = (0.18, 0.40) cm.

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Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

The surface area in the image is 416 cm^2

Surface area is the measurement of the total area that the surface of a three-dimensional object occupies. It is typically measured in square units, such as square meters, square centimeters, or square feet. The surface area of an object can be calculated by finding the sum of the areas of all its faces or surfaces.

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

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Answer:

where is the question

Step-by-step explanation:

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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Answer:

D: route 4

Step-by-step explanation:

route 4 is 1 hour and 15 minutes while every other is greater than 1 hour and 15 mins

Answer:

Route 4

it will take 1 hr 15 min

Step-by-step explanation:

Answer:

x=6√3

Step-by-step explanation:

Answer:

\(V= 4\pi (9h^2 -12h + 4)\)

Step-by-step explanation:

Given

Shape: Cylinder

\(Radius = 3h - 2\)

\(Height = h\)

\(Base\ Area = \pi (3h - 2)^2\)

Required

Simplify the volume

The volume is calculated as:

\(Volume = Base\ Area * Height\)

Substitute values for Base Area and Height

\(V= \pi(3h-2)^2*h\)

Expand the bracket

\(V= \pi(3h-2)(3h-2)*h\)

Open brackets

\(V= \pi (9h^2 -6h - 6h + 4) *h\)

\(V= \pi (9h^2 -12h + 4) *h\)

\(V= 4\pi (9h^2 -12h + 4)\)

Explanations:

If the team uses 2 lb of peanuts for the recipe, they will need 3lb of raisin. That is,

2 lb of peanuts requires 3 lb of raisins

1 lb of peanuts will require 3/2 lb of raisins = 1.5 lb of raisins

If 1 lb of peanuts requires 1.5 lb of raisins

54 lb of peanuts will requre (54 * 1.5) lb of raisins = 81 lb of raisins

Answer:

y = 2x

Step-by-step explanation:

Given that , the line passes through the point (0,0) and has a slope of 2. So here we can use the point slope form of the line as ,

\(\implies y- y_1 = m( x - x_1) \\\\\implies y - 0 = 2( x - 0 ) \\\\\implies y = 2(x) \\\\\implies \underline{\underline{y = 2x }}\)

finding the LCM for 11 and 9 = 99, then the corresponding subtraction is made

the answer is

Answer:

Algunos multiplos comunes de 8 y 12 son 48, 96, 192, y 384

i cant see anything but dashes..

Answer:

A

Step-by-step explanation:

Cos is the adjacent side over the hypotenuse.

option:-

\( \: \)

Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

or

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

~How to find ratio?

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \: \)

hope it helps! :)

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

B.) y= 5/4x - 4

Step-by-step explanation:

Slope intercept form

y = 1.25x +-4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1x2-x1

m = -4-10-4

m = -5-4

m = 1.25

Now putting value of m in equation (i)

y = 1.25x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (4,1) for calculating y-intercept:

y = mx + b

1 = 1.25(4) + b

1 = 5 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1.25x + -4

Answer:

BD=4/3 BE=5/3

Step-by-step explanation:

by pythag theorem we can see that AC=3 and because CPCTC

AC/DE=AB/EB=CB/DB we can see that CB/DB=3/1 and CB is 4 therefore DB = 4/3 do same with BE and we get solution above.

Answer: the answer  is D i just did that

Step-by-step explanation:

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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Answer:

Step-by-step explanation:

it is my first time doing dis so it is 12.

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

\(\frac{10.25}{100}\)Answer:

Step-by-step explanation:

The formula for simple interest is: A= P(1+in)

The formula for compound interest is: A=P\((1+i)^{n}\)

A= amount after added interest

P= initial amount invested

i= interest rate

n= number of periods (in this case its 7 years)

*REMEMBER THIS FORMULA

a) A=0

P=?

i=10,25

n=7

(simple interest)

a) A= 0 (1 +\(\frac{10.25}{100}\) ×7)

=0

b) A=2 000 (1 + \(\frac{10.25}{100}\) ×7)

A=3435

c) A= 3 000( 1 + \(\frac{10.25}{100}\) ×7)

A= 5152.5

d) 5000(1 + \(\frac{10.25}{100}\) ×7)

= 8587.5

It's just a matter of substitution. I hope this helped.

Answer:

(a) $668.39

(b) $634.93

(c) $618.20

(d) $584.74

Step-by-step explanation:

Monthly Payment Formula

\(\sf PMT=\dfrac{Pi\left(1+i\right)^n}{\left(1+i\right)^n-1}\)

where:

Given:

Down payment = $0

⇒ P = $39,950

\(\implies \sf PMT=\dfrac{39950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}\)

\(\implies \sf PMT = 668.3892086\)

Therefore, the monthly payment is $668.39.

Down payment = $2,000

⇒ P = $39,950 - $2,000 = $37,950

\(\implies \sf PMT=\dfrac{37950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}\)

\(\implies \sf PMT = 634.9279215\)

Therefore, the monthly payment is $634.93.

Down payment = $3,000

⇒ P = $39,950 - $3,000 = $36,950

\(\implies \sf PMT=\dfrac{36950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}\)

\(\implies \sf PMT = 618.197278\)

Therefore, the monthly payment is $618.20.

Down payment = $5,000

⇒ P = $39,950 - $5,000 = $34,950

\(\implies \sf PMT=\dfrac{34950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}\)

\(\implies \sf PMT = 584.735991\)

Therefore, the monthly payment is $584.74.

Answer:

Length= 15

Height= 7

Perimeter = 15 + 7 + 15 + 7 (44)

Area= 15 x 7 (105)

Unit= M

Step-by-step explanation:

SOLUTIONS

Let the cost of one CD be c

Let the cost of one books be b

since Sarah can buy one CD and 2 books for $28

and also 2 CD and 3 books for $48

Using substitution method

sub the value of c in equ(2)

sub the value of b in equ(3)

Therefore the cost of a CD = 12 and the cost of a book = 8

The other zero of the function given that one zero is 4 include: B. 8.

The correct graph of the quadratic function represented in the table is: graph A.

In Mathematics and Geometry, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equation by using the data points provided in the table above;

a(2)² + b(2) + c = 12

4a + 2b + c = 12     .....equation 1.

a(6)² + b(6) + c = -4

36a + 6b + c = -4     .....equation 2.

a(7)² + b(7) + c = -3

49a + 7b + c = -3     .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = 1

b = -12

c = 32

Therefore, the required quadratic function is given by;

ax² + bx + c = 0

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) - 4(x - 8) = 0

(x - 4)(x - 8) = 0

x = 4 or x = 8

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The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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