An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual building in feet ?

Answers

Answer 1
Answer:

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.


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Find the 57th term of the following arithmetic Sequences 2,9,16,23

5, 9 ,7, 7, 4, 8, 21. Find the range
2.List from least to greatest
3.Find the Mode
4.Find the Median

Answers

2, 4, 5, 7, 7, 8, 9,
Mode: 7
Median: 7
Range: 2 - 9

If Sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of cup, how much brown sugar does she use?

Answers

She uses 5/9 of a cup

Which of the following best describes the relationship between (x-2) and the polynomial 2x^3+x^2-3A) (x-2) is a factor
B) (x-2) is not a factor
C) it is impossible to tell whether (x-2) is a factor

Answers

(x-2) is not a factor of the polynomial 2x³ + x² – 3. Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 2x³ + x² – 3

The factor of the polynomial will be

⇒ 2x³ + x² – 3

⇒ 2x³ + 3x² – 2x² – 3

⇒ x²(2x + 3) – 1(2x + 3)

⇒ (x² – 1)(2x + 3)

⇒ (x – 1)(x + 1)(2x + 3)

(x-2) is not a factor of the polynomial 2x³ + x² – 3.

Then the correct option is B.

More about the factorization link is given below.

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If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.

Help please !!! Oh Select all the equations where m= 4 is a solution


Choose 3 answers:

A) 13 = 9 + m

B)7- m = 3

C) 15 = 11m

D) 5 = m + 2

E) 20 divide m =5

Answers

Answer:

A, B, E

Step-by-step explanation:

A) 13=9+m

m= 13-9

m=4 ✔️

B) 7-m =3

m= 7-3

m=4 ✔️

C) 15= 11m

15=11*4

15≠44

D) 5= m+2

If m=4 therefore

5≠4+2

5≠6

E) 20 divide m = 5

20/4 = 5

therefore, m=4 ✔️

Final answer:

By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.

Explanation:

In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.

Let's substitute m with 4 in each equation:

  1. A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true.
  2. B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4.
  3. C) 15 = 11m becomes 15 = 44 which is incorrect.
  4. D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6.
  5. E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.

Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.

Learn more about Algebra here:

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3+z=-19 true, false, or open

Answers

subtract 3 from both sides to get 3+z=-19 3+z-3=-19-3 z = -22 So it's only true when z = -22. This means that it's neither 100% true nor 100% false. So it's an open statement or sentence

First thing you would do is subtract 3 from both sides to get 3+z=-19 3+z-3=-19-3 z = -22 So it's only true when z = -22. This means that it's neither 100% true nor 100% false. So it's an open statement or sentence

A set of equations is given below:


Equation M: y = 3x + 4

Equation P: y = 3x + 7


Which of the following options is true about the solution to the given set of equations?


A. No Solution

B. One Solution

C. Two Solutions

D. Infinite Solutions

Answers

These would have infinite solutions because this is a slope-intercept equation. Since you are provided with the y-intercept in both, you can put anything in for the slope and it will work.

Hope this helps!

Answer:

a

Step-by-step explanation: