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3 years ago

Whats the product of 15 and c

Mathematics

1 answer:

uranmaximum [27]3 years ago

4 0

Answer: 15c

Step-by-step explanation:

When you come across any question that mentions [the product of a and b] means a × b

the product of 6 and 7 is 42, 6 × 7=42
the product of x and y is xy, x × y=xy

<u>Solve:</u>

The product of 15 and c

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Identify the augmented matrix for the system of equations.

lord [1]

Answer:

The augmented matrix for the system of equations is $\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$ .

Step-by-step explanation:

This system consists in three equations with three variables ( $x$ , $y$ , $z$ ).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:

$\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$

The augmented matrix for the system of equations is $\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$ .

8 0

3 years ago

I have trouble with these two questions, even i did my equation but i don’t get the answers

Sophie [7]

Answer:

$318.17, out of state college is $161.12 cheaper per month

Step-by-step explanation:

72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17

8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66

8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56

1616.67 - 1455.56= $161.11 (use $161.12)

3 0

3 years ago

After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school distri

aev [14]

Answer:

The value of test statistic is -2.

Step-by-step explanation:

The following information is missing in the question.

The population mean is 12 minutes.

We are given the following in the question:

Population mean, μ = 12 minutes

Sample mean, $\bar{x}$ = 8 minutes

Sample size, n = 36

Population standard deviation, σ = 12 minutes

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{8 - 12}{\frac{12}{\sqrt{36}} } = -2$

The value of test statistic is -2.

6 0

4 years ago

Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. Write a function that gives the to

suter [353]

For this case we have a function of the form:
y = A (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
V (t) = 2000 (1.02) ^ t
Answer:
a function that gives the total value V (t) in dollars, of the investment t years from now is:
V (t) = 2000 (1.02) ^ t

7 0

3 years ago

Read 2 more answers

The vertices A, B, C of a triangle are (2,1),(5,2),and (3,4) respectively . Find the coordinate of the circumcentre and also the

BlackZzzverrR [31]

Answer:

Circumcenter = (4,0)

Circumcircle = √5

Step-by-step explanation:

The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.

Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:

$AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\$

AO = BO, therefore

√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)

x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29

6x + 2y = 24 (1)

BO = CO

√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)

x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25

-x + 4y = -4 (2)

Multiply equation 2 by 6 and add to equation 1:

26y = 0

y=0

Put y = 0 in -x + 4y = -4

-x + 4(0) = -4

x = 4

The cicumcenter is at (4, 0)

The radius of the circumcircle = AO = BO = CO. Therefore:

$Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}$

7 0

3 years ago