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Nataliya [291]
3 years ago
15

Write and solve the inequality.

Mathematics
1 answer:
maw [93]3 years ago
5 0

box 1: 1/4

first arrow: - (less than)

second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)

box 2: 1/4

third arrow: same as second arrow

last arrow: =

box 3: 104 ÷ 1/4 = 416

message if you dont understand

hope this helped

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hat is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122°
juin [17]
<span>Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude). Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north) The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles. d = 8 / 360 x 2 x pi x 3960 = 552.9 miles</span>
8 0
3 years ago
Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a buil
alex41 [277]

Answer:

The increment in the model is 106cm

Step-by-step explanation:

Given

Initial\ Height = 53cm

Final\ Height = 159cm

Required

Determine the increment

To do this, we simply subtract the initial height of the building from the final height

Increment = Final\ Height - Initial\ Height

Increment = 159cm - 53cm

Increment = 106cm

<em>Hence, the increment in the model is 106cm</em>

7 0
3 years ago
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the
bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0
2 years ago
What is the length of the hypotenuse of the triangle when x=15?
Luden [163]

Answer:

114.24°

Step-by-step explanation:

7(15)+6= 105

3(15)= 45, now we plug it in the formula, a^{2}+b^{2}=c^{2}

105^{2}+45^{2} = 13050

so now we square root it

\sqrt{13050}= 114.24

6 0
3 years ago
Read 2 more answers
How do you find the mean for 10 31 36 36 38 42 47 48 49 52
Lana71 [14]

Answer: 38.9


Step-by-step explanation:

Add all the numbers together and divide  the sum by how many numbers there are.

8 0
3 years ago
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