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3 years ago

Estimate

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

$400009 \times {10}^{8}$

Step-by-step explanation:

$(4 \times {10}^{13} ) + (9 \times {10}^{8} ) \\ \\ = (400000 \times {10}^{8} ) + (9 \times {10}^{8} ) \\ \\ = (400000 + 9) \times {10}^{8} \\ \\ = 400009 \times {10}^{8}$

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In the interval 0° < x < 360°, find the values of x for which sin x = 0.6691 Give your answer tot he nearest degree

Neporo4naja [7]

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) = sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

8 0

3 years ago

2 friends get 6 waffles each

mars1129 [50]

Answer: 12 waffles

Step-by-step explanation:

7 0

3 years ago

Expand $(x+1)(x^{2}+1)(x-1)$. What is the sum of the coefficients of the resulting expression?

defon

Answer:

Step-by-step explanation:

Hello, please consider the following.

For any a and b real numbers we can write.

$(a-b)(a+b)=a^2-b^2$

We apply this formula two times here, as below.

$(x+1)(x^{2}+1)(x-1)=(x+1)(x-1)(x^{2}+1)\\\\=(x^2-1^2)(x^2+1)=(x^2-1)(x^2+1)\\\\=(x^2)^2-1^2=x^4-1$

We have the coefficient of 1 for $x^4$ and the constant term is -1, so the sum of the coefficients is 0.

Thank you.

8 0

3 years ago

Read 2 more answers

For a certain automobile,

emmasim [6.3K]

Answer:

The answer is

a) 2,128 miles per gallon at 40,36 miles per hour

b) 1,388 miles per gallon at 60 miles per hour

Step-by-step explanation:

Let's find the extreme points of M(x) for 30≤x≤60. M(x) simplified by dividing to 7.8.

$M(x) = -1,92.10^-3x^2+0,155x-1$

To find extreme points we find tangent of M(x) and equal it to 0.

$M'(x) = -3,84.10^-3x+0,155=0$

therefore x= $\frac{-0,155}{-3,84.10^-^3} = 40,36$

This divides our x to 2 different range 30≤x≤40,36 and 40,36≤x≤60

Now we pick a number and investigate from the ranges

30≤x≤40,36 → x = 35 → M'(35) = 0,0206 which is > 0 and that means M is increasing

40,36≤x≤60 → x = 45 → M'(45) = -0,0178 which is < 0 and that means M is decreasing

Next let's look at critical points

x M(x) Before After Decision

30 1,922 - ↑ Local Minimum Point

40,36 2,128 ↑ ↓ Local Maximum Point

60 1,388 ↓ - Local Minimum Point

As we can see (30, 1,922) and (60, 1,388) are local minimum points and (40,36 , 2,128) is the local maximum point.

Since (60 , 1,388) is the lowest local minimum point it is the absolute minimum point and (40,36 , 2,128) is the absolute maximum point.

6 0

3 years ago

(PLEASE HELP ME)(I WILL GIVE YOU BRAINLINEST)Suppose homes in a big city increase in value 13% every year. How much will a home

kolbaska11 [484]

Answer:

$216435

Step-by-step explanation:

Given : Suppose homes in a big city increase in value 13% every year.

To Find: How much will a home that cost $150,000 be worth 3 years later?

Solution:

Principal = $150000

Rate = 13% =0.13

Time = 3 years

Formula : $A=P(1+r)^t$

Now substitute the values in the formula

$A=150000(1+0.13)^3$

$A=216434.55$

So, The cost of home after 3 years will be $216435

Hence Option B is true

3 0

3 years ago