Find the area of the shaded region. Help please!

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

The value of h can be any value other than 2.

The augmented matrix of a consistent linear system must have a unique solution, which means the determinant of the coefficient matrix must be non-zero.

       [1 h

        3 6]

The determinant of this matrix is (1 * 6) - (3 * h) = 6 - 3h.

For the determinant to be non-zero and the system to be consistent, 6 - 3h must not be equal to zero, so h cannot be equal to 2.

Therefore, the value of h can be any value other than 2.

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The product or overall change in time for 8 weeks will be 29.33 minutes.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

After one week, Greg's watch has lost 11/3 minutes. If the watch continues to lose time at the same rate, we can say that the change in time is 11/3 minutes per week.

According to given question we have

(11/3 minutes/week) x (8 weeks) = 29.33 minutes

Therefore, the product or overall change in time for 8 weeks will be 29.33 minutes.

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The total first-year cost when purchasing the home is a) 37,041.84.

The mortgage cost includes the principal, interest, taxes, and insurance costs.

While the principal repayment pays down the outstanding mortgage loan, the interest is the borrowing or finance cost.

The interest amount depends on the interest rate and the mortgage loan balance.

List price = $150,000

Down payment = $30,000

Mortgage loan = $120,000 ($150,000 - $30,000)

Mortgage period = 30 years

Interest rate = 4.2%

Annual mortgage payment = $7,041.84 (determined using an online finance calculator as follows)

First-year cost for purchasing the home = $37,041.84 ($7,041.84 + $30,000)

Home Price = $150,000

Down Payment = $30,000

Loan Term = 30 years

Interest Rate = 4.2%

Results:  

Monthly Pay:   $586.82

Annual payment = $7,041.84 ($586.82 x 12)

House Price $150,000.00

Loan Amount $120,000.00

Down Payment $30,000.00

Total of 360 Mortgage Payments $211,255.42

Total Interest $91,255.42

Mortgage Payoff Date Jun. 2052

The home for sale is listed at $150,000.00. They have $30,000.00 for a down payment and are qualified for a fixed-rate 30-year mortgage with an annual interest rate of 4.2%. • The rental home is currently 8900.00 per month, with rent expected to increase by approximately $75.00 every year.

Thus, the total first-year cost when purchasing the home is a) 37,041.84.

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There are \(1.18\times 10^24\) formula units in a 1.96 mol sample of NH4NO3.

What is Avagadaro's Number ?

Avogadro's number, denoted as N_A, is a fundamental physical constant that represents the number of particles (such as atoms, molecules, ions, or other particles) in one mole of a substance. One mole of a substance contains Avogadro's number of particles, which is approximately 6.022 x 10²³ particles.

The number of formula units in a sample of a compound can be calculated using Avogadro's number (6.022 x 10²³) and the molar mass of the compound.

The molar mass of NH4NO3 can be calculated as:

M(NH4NO3) = 14.01 + 4(1.01) + 14.01 + 3(16.00) = 80.04 g/mol

Therefore, the number of formula units in a 1.96 mol sample of NH4NO3 can be calculated as:

(1.96 mol NH4NO3) x (6.022 x 10²³ formula units/mol) = 1.18 x 10²⁴formula units

So, there are 1.18 x 10²⁴ formula units in a 1.96 mol sample of NH4NO3.

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Complete Question:

What Is The Number For Formula Units In A 1.96 Mol Sample Of NH₄NO₃?

Answer:

its 90,000

Step-by-step explanation:

just put the zeros together then multiply 3x3

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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Answer:

answer is A

Step-by-step explanation:

The dimensions of the radius is 4/3\(\sqrt{2}\) and that of height is 8/3.

Let r be the radius of the cone,  be the radius of the sphere and h be the height of the cone.

Let's put DˆOB=x with limitations 0≤x≤π.

In the right-angled triangle DOB:

r=DB=Rsinx, OD=Rcosx, than

h=CD=OC+OD=R+Rcosx=R(1+cosx).

So the volume of the cone is:

V=1/3πr²h ⇒V=1/3π(Rsinx)²⋅R(1+cosx)

V=1/3πR³sin²x(1+cosx)

V'=1/3πR³⋅[2sinx⋅cosx⋅(1+cosx)+sin2x(−sinx)]

  =1/3πR³sinx[2cosx(1+cosx)−sin2x]

  =1/3πR³sinx(2cosx+2cos2x−sin2x)

  =1/3πR³sinx(2cosx+2cos2x−1+cos2x)

 =1/3πR³sinx(3cos2x+2cosx−1)

Now let's find the signum of the derivative, since sinx≥0 for every x in the limitations, then:

V'≥0⇒3cos²x+2cosx−1≥0

      ⇒Δ/4=(b/2)²−ac =1+3=4

cosx=(−b/2)±√Δ/4 / a

      =−1±2/3,

So:

cosx≤−1∨cosx≥1/3

The first one has only the solution:

x=π

the second:

−arccos(1/3)≤x≤arccos(1/3), but for the limitations:

0≤x≤arccos(1/3).

The function gros from zero to arccos(1/3), and then it decreases.

So x=arccos(1/3) is the maximum requested.

Let's find now r and h:

r=Rsinx

 =R√1−cos2x

 = 2√1−(1/3)²

 = 2√1−1/9

 =2√9−1/9

 =2√8/9

 =2⋅2√2/3

 =4/3√2

h=R(1+cosx)=2(1+1/3)

 =2(3+1/3)

=8/3.

Therefore the radius is 4/3√2 and the height is 8/3.

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Answer:

The answer is 10

Step-by-step explanation:

\(46-[(9+15\div5)\times3]\\\\46-[(9+3)\times3]\\\\46-[12\times3]\\\\46-36\\\\10\)

You need to follow PEMDAS:

P = Parentheses

E = Exponents

M = Multiplication (left to right)

D = Division (left to right)

A = Addition (left to right)

S = Subtraction (left to right)

Hope this helps!

The amount of sales tax he collected from the office services would be =$658.43

To calculate the amount of sales tax,the percentage tax amount should be determined as follows.

The total receipts from the office services = $1861.16

The amount that is for labor = $1240

The amount for parts = 1861.16-1240

= $621.16

The tax amount = 6/100 × 621.16

= 3726.96/100

= $37.27

Therefore the amount sale tax = 621.16+37.27 = $658.43

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Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

Rebekah, the height of a hemisphere is its radius. The volume of a sphere is 4/3 π r3. So the volume of a hemisphere is half of that: V = (2 / 3) π r3.

Answer:

V = (2 / 3) π r3.

Step-by-step explanation:

1/2 x 4/3 x π r3 = 2/3π r3

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer:

-6

Step-by-step explanation:

The value of the given expression will be equal to -3.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution to the expression is:-

=  4(  x  +  3  ) (  x + 1  )  /  (  x  +  5  )  (  x  -  5  )

=  4(  3 +  3  ) (  3  + 1  )  /  (  3  +  5  )  (  3  -  5  )

=  (  4  x  6  x  4 )  /  (  8  x   -2  )

=  -3

Therefore the value of the given expression will be equal to -3.

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Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

6x+5y = -30

6x = -30

Divide by 6

x = -30/6 = -5

The x intercept is (-5,0)

To find the y intercept set x =0 and solve for y

6x+5y = -30

5y = -30

Divide by 5

y = -30/5 = -6

The y intercept is (0,-6)

To find the x-intercept set y =0. Solve for x.

6x+5y=-30

6x+5(0)=-30

6x+0=-30

6x=-30

x=-30/6

x=-5

The x-intercept is at (-5, 0)

To find the y-intercept set x =0. Solve for y.

6x+5y=-30

6(0)+5y=-30

0+5y=-30

5y=-30

y=-30/5

y=-6

The y-intercept is at (0, -6)

Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.

The value of the trigonometric function Cos61° + Cos45° is 1.192

The given expression is Cos61° + Cos45°

Now, we have :

Cos61° = 0.4848

and Cos45° = \(\frac{1}{\sqrt{2} }\) = 0.7072

Now, Cos61° + Cos45° = 0.4848 + 0.7072 = 1.192

Trigonometry is a branch of arithmetic that research relationships among side lengths and angles of triangles. the field emerged within the Hellenistic global at some stage in the third century BC from packages of geometry to astronomical research.

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent .

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Answer:

50 + 25 = 75

50 - 25 = 25

The numbers are 50 and 25

Step-by-step explanation:

The sum of two numbers is 25 and their difference is 75. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 25. In other words, x plus y equals 25 and can be written as equation A:  

x + y = 75

The difference between x and y is 75. In other words, x minus y equals 75 and can be written as equation B:

x - y = 75

Now solve equation B for x to get the revised equation B:  

x - y = 25

x = 25 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 75

25 + y + y = 75

25 + 2y = 75

2y = 50

y = 25

Now we know y is 25. Which means that we can substitute y for 25 in equation A and solve for x:

x + y = 75

x + 25 = 75

X = 50

Therefore,

Sum: 50 + 25 = 75

Difference: 50 - 25 = 25

Hope this helps! :D

If \(4x-7=2x\), then \(2x=7\).

Hope this helps.

Answer:

7

Step-by-step explanation:

We solve for x first.

So: 4x - 7 = 2x

Subtract 2x from both sides: 4x - 2x - 7 = 2x - 2x

2x - 7 = 0

Add 7 to both sides: 2x - 7 + 7 = 0 + 7

2x = 7

Divide by 2: \(\frac{2x}{2}\) = \(\frac{7}{2}\)

x =  \(\frac{7}{2}\)

Now, we substitute x for  \(\frac{7}{2}\) like this:

2 ( \(\frac{7}{2}\)) = 7

Answer:

2/7

Step-by-step explanation:

Hope that helps! (Brainliest please!)

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

Answer: I don’t really know

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

Answer:

$10 coins: 21

$20 coins: 24

Step-by-step explanation:

heyy me again

So we can create 2 equations where

x = number of $10 coins

y = number of $20 coins:

x + y = 45

10x + 20y = 690

we can move equation 1 around so that we can get a value of x

x = 45 - y

now we can substitute x into the second equation

10(45 - y) + 20y = 690

450 - 10y + 20y = 690

10y = 240

y = 24

Now plug in y back into the first equation

x = 45 - y

x = 45 - 24

x = 21

Answer:

$90

Step-by-step explanation:

\(\frac{1}{3}\) = $30   1 • 30 = 30

\(\frac{2}{3}\) = $60   2 • 30 = 60

\(\frac{3}{3}\) = $90   3 • 30 = $90

\(\frac{3}{3}\) = 1 whole

1 whole = $90