1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnesinka [82]
3 years ago
7

A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the botto

m of the window is b feet. The distance between the ceiling and the top of the window is a feet. This relationship can be a described by the equation a = 15 − (b + 6). Which variable is the independent variable in this equation?
Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer:

the independent variable in this equation is a because its the answer and cannot be changed

You might be interested in
Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to
AVprozaik [17]

Answer:

\boxed {\boxed {\sf z=2.2}}

Step-by-step explanation:

The z-score tells us how many standard deviations a value is away from the mean.

The formula is:

z=\frac{x- \overline{x}}{s}

where x is the value, \overline {x} is the mean, and s is the standard deviation.

We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

x=83 \\\overline {x}= 72 \\s=5

Substitute the values into the formula.

z=\frac{83-72}{5}

Solve the numerator.

z=\frac{11}{5}

Divide.

z=2.2

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.

3 0
3 years ago
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
Which of the points are solutions to the inequality check all that apply identifying solutions to any quality
swat32

Answer:

(0, -4)

Step-by-step explanation:

4 0
3 years ago
A number is between 50 and 55. It has prime factors of 2, and 9. What is the number?
mihalych1998 [28]

Answer:

The answer is 54.

Step-by-step explanation:

54 divided by 2 will give you 27.

54 divided by 9 will give you 6.

3 0
3 years ago
School lunch costs $1.25 per day. If there are 21 school days
prohojiy [21]

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

3 0
2 years ago
Read 2 more answers
Other questions:
  • a=13 c=15 A=53 Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ tria
    14·1 answer
  • Evaluate: <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20" id="TexFormula1" title=" \sqrt{81} " alt=" \sqrt{81} " al
    12·1 answer
  • Please help faaaaast!!!! First answer gets brainliest!!!!!!!
    6·1 answer
  • An electronics store is deciding how to price one of its products. The equation P=-25d^2+500d predicts the total profit P as a f
    13·1 answer
  • HELP ILL LOVE YOU FOREVER:)
    15·2 answers
  • At the end of the quarter, sara knows she got a perfect score on 3 out of 7 of her history quizzes. How many total quizzes did s
    6·1 answer
  • Please complete it (picture)​
    9·1 answer
  • Please help fast! I only want correct answers. Random answers will be reported.
    15·2 answers
  • .
    11·1 answer
  • Find the missing dimension of the triangle.<br> 1.5 in. base<br> Area = 2 in. squared<br> h = ? in.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!