Evaluate
5! 4!
____
7! 2!
Simple as much as possible

Answer:

yes if b is odd then b+6 is odd

Step-by-step explanation:

example

consider a odd number 1,3,5,7,and 9

1+6=7

3+6=9

5+6=11

7+6=13

9+6=15

all answers are odd number

The expected gain of this company by the policy that they have here is given as $77.

The stated probability about a person dying is given as 0.0023

This tells us that out of this 10000, the number of people that would die would be 10000*0.0023 = 23 persons

Out of these 23, each of the number that would get the $10000 form the company.

23 * 10000 = $230000

Amount of policy sold at unit price is $100 for 10000

= 100 * 10000

= $1000000

The net earning = 1000000 - 230000

= 770000

The total earning = 770000/10000

= $77

Hence the expected gain of this company is going to be $77.

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The correct table of values, graph the function and use the graph to estimate the sales 1 .... 12 weeks after release is,

t             s = 12 √4t + 10

1                    34

2                   43.94  

3                   51.56

4                   58

5                   63.66

6                   68.78

7                   73.49  

8                   77.88

9                   82

10                  85.89

11                   89.59

12                  93.13

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The sales of a certain product after an initial release can be found by the equation,

⇒ s = 12 √4t + 10

where s represents the total sales (in thousands) and t represents the time in weeks after release.

Here, The equation is,

⇒ s = 12 √4t + 10

where, s represents the total sales (in thousands) and t represents the time in weeks after release.

We put t=1,2,3,.....,12 and create a table

t             s = 12 √4t + 10

1                    34

2                   43.94  

3                   51.56

4                   58

5                   63.66

6                   68.78

7                   73.49  

8                   77.88

9                   82

10                  85.89

11                   89.59

12                  93.13

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The linear equation obtained is y = 0.3X + 18.3

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x represents an unknown variable. The solutions of linear equations are often graphed on a coordinate plane, forming a straight line. Linear equations can be used to model many real-world situations, such as population growth, the rate of change of a physical quantity, or the total cost of an item. Linear equations can also be used to solve systems of equations, where several equations must be solved simultaneously.

Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2

5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3

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Step-by-step explanation:

= x^2 + 6x - 3  = 0

Are you familiar with the Quadratic Formula?

   a  = 1         b = 6         c = -3

  then     x =  -3 ± 2 \(\sqrt{3}\)

Answer:

\(x1 = - 3 - 2 \sqrt{3} \)

\(x2 = - 3 + 2 \sqrt{3} \)

Step-by-step explanation:

\( {x}^{2} + 6x + 9 = 12\)

\( {x}^{2} + 6x + 9 - 12 = 0\)

\( {x}^{2} + 6x - 3 = 0\)

a = 1, b = 6, c = -3

\(d = {b}^{2} - 4ac = {6}^{2} - 4 \times 1 \times ( - 3) = 36 + 12 = 48 > 0\)

\(x1 = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 6 - \sqrt{48} }{2 \times 1} \frac{ - 6 - 4 \sqrt{3} }{2} = - 3 - 2 \sqrt{3} \)

\(x2 = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 6 + \sqrt{48} }{2 \times 1} = \frac{ - 6 + 4 \sqrt{3} }{2} = - 3 + 2 \sqrt{3} \)

Answer:

$9.86 (dollars) per gallon

Step-by-step explanation:

(All decimals are rounded to the nearest 100ths place) There are roughly 3.78 liters in a gallon. You multiply 3.78(liters in a gallon) and 2.23(euros per liter) and get 8.43 euros per gallon . 1 euro= $1.17 (dollars). 8.43 multiplied by 1.17 is 9.86. Meaning a gallon of gasoline would be roughly $9.86.

Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

Answer:

60, 72, arithmetic

Step-by-step explanation:

48 + 12 = 60

60 + 12 = 72

An 'Arthimetic sequence' is what is presented in this question.

Odpowiedź:

48 cm

Wyjaśnienie krok po kroku:

Jeśli się uwzględni:

Wysokość trapezu = 6 cm

Długość podstaw:

Podstawa 1 = a = 9 cm

Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm

Uaing relacji:

Powierzchnia trapezu = 1/2 (a + b) * h

Powierzchnia trapezu = 0,5 (9 + 7) * 6

Powierzchnia trapezu = 0,5 (16) * 6

Powierzchnia trapezu = 8 * 6

Powierzchnia trapezu = 48 cm

Answer:

$10 per hour

Step-by-step explanation:

As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at   (4, 40) we can see the employee earn $40 per 4 hours.  So we can find the slope of these two points to get the answer.

Slope formula y1-y2/x1-x2

so plug it in    

40-20/4-2 and we get 20/2 =10

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

168 is your answer to this question your welcome

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

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Answer:

Step-by-step explanation: Parts of a circle.

Radius - the side of one slice of pizza

minor arc - The arc formed by the outer side of 3 or less slices of pizza

Diameter - the slice of pizza from side to side that passes through the center

Major arc - The arc formed by the outer side of 5 to 7 slices of pizza

semi circle - 4 slices of pizza or half of the whole pizza

Pairs:

angle BAC - Inscribed angle

Line IE - Secant

Segment AC - Chord

Arc FH - Minor arc

Angle HGF - Circumscribed angle

The complete sentences are:

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.

Given:

We have circle with center O.

Now, <BAC is inside the circle.

So, <BAC is an  Inscribed angle.

then, IE is a secant as it is intersecting circle at two points

then, AC id a chord

then, Arc FH is a minor arc

and, <HGF is an Circumscribed angle as it is outside the circle.

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Using the hypergeometric distribution, it is found that there is a 0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

The containers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that exactly one of the containers is from the Florida supplier is P(X = 1), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 1) = h(1,18,3,11) = \frac{C_{11,1}C_{7,2}}{C_{18,3}} = 0.2831\)

0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

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Answer: C= 4.15 + 0.15x

Step-by-step explanation:

The given data in the table represents a function for x and y variables.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

Given data is shown below in the table,

X            Y

0            3

1             7

2            -8

3            72

4            42

For the function, the input variable should give different outputs at the different inputs and the same output at the same input.

Here in the table for every value of input variable x, there is a different value of output variable y. So it is a function.

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Answer:

area = 1/2*b*h

h^2=hypotenuse^2-base^2

h^2= 2^2-1^2

h^2=4-1

h^2=3

h=√3

1/2*2*√3

=√3

The 5th term of the arithmetic series is  1179/ 19.

The 10th term of the arithmetic series , S is 66.

Using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

66 = a + 9d

The sum of the first 20 terms of S is 1290.

Therefore,

Sₙ = n / 2 (2a + (n - 1)d)

1290 = 10(2a + 19d)

1290 = 20a + 190d

combine the equation

66 = a + 9d

1290 = 20a + 190d

Hence,

a = 66 - 9d

1290 = 20(66 - 9d) + 190d

1290 = 1320 - 180 + 190d

1290 - 1320 + 180 = 190d

190d = 150

d = 150 / 190

d = 15 / 19

Hence,

a = 66 - 9(15  /19)

a = 66 - 135 / 19

a = 1254 - 135/ 19

a = 1119 / 19

Hence, let's find the fifth term.

a₅ = a + 4d

a₅ = 1119 / 19 + 4(15 / 19)

a₅ = 1119 / 19 + 60 / 19

Therefore,

a₅ =  1179/ 19

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Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

slope = (2-1)/(12-6)

1/6

Answer:

1/4 or 3/12

Step-by-step explanation:

hope this helps. If you divide both numbers by 2 you get 3/12, and if you divide by 3 you get 2/8 which equals 1/4.

We can solve this with the derivative of f(x) multiplied by g(x):

In this case we can choose f(x)=x^3 and g(x)=(5-3x)^4, so:

We can factor by 3x^2(5-3x)^3 to simplify the formula:

Answer:

The bowl of glass 1 is cylindrical. The inside diameter is 5 cm and the inside height is 6 cm.

The bowl of glass 2 is composed of a hemisphere attached to cylinder. The inside diameter of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 3 cm.

The bowl of glass 3 is an inverted cone. The inside diameter is 6 cm and the inside slant height is 6 cm.

Answer:

25%

Step-by-step explanation:

\(percentage \: increase \\= \frac{10 - 8}{8} \times 100 \\ \\ = \frac{2}{8} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25 \%\)

The increase in height from 8 to 10 feet is 25%. To calculate a percentage, divide the value by the total value and multiply the result by 100.

Therefore,

percentage increase

= (10 - 8) / 8 × 100

= 2/8 × 100

= 1/4 × 100

= 25%

Hence, The increase in height from 8 to 10 feet is 25%.

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Applying the right triangle altitude theorem, the value of x in the given right triangle is: x = 4.

According to the right triangle altitude theorem, we have the following from the theorem as:

h = √(xy), where h is the altitude of the triangle and x and y are the segments divided on the hypotenuse.

Therefore, we have:

2√6 = √(x*3)

(2√6)² = x*3

12 = 3x

x = 12/3

x = 4

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Answer:

3/3

Step-by-step explanation:

here ya go

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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540 yards should be purchased to enclose the deck and option B is correct.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides.

A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Pools dimension = 1:3

Length = 60 × 3

= 180

Breadth= 30 × 4

= 90

Perimeter of rectangle = 2(l+b) = 2(90+180)

P = 2(270) = 540 yards

Thus, 540 yards should be purchased to enclose the deck and option B is correct

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