What is the determinant of the coefficient matrix of the system?
please help!!!

Answer: a.) I take a shoe size 12

              b.) Runner B is 35 m from starting line

Step-by-step explanation:

a) The variable h (height) is in inches, so, first, transform feet in inches:

1 ft = 12 in

5ft = 5.12 = 60 in

My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70

To determine my shoe size:

[tex]s=\frac{1}{10}(70)+5[/tex]

s = 12

For me, who is 5ft 10in tall, my shoe size is 12.

b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:

[tex]x=x_{0}+v.t[/tex]

where

x₀ is initial position

v is speed

t is time

Replacing and solving:

x = 10 + 2.5t

x = 10 + 2.5(10)

x = 35

After 10s, Runner B is 35 meters ahead of the starting line

Answer:

The function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

Step-by-step explanation:

Given the expression of the function

[tex]f\left(x\right)=\sqrt{x+4}[/tex]

We know that the domain of the function is the set of input values for which the function is real and defined

We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.

so

[tex]x+4\ge \:0[/tex]

subtract 4 from both sides

[tex]x+4-4\ge \:0-4[/tex]

simplify

[tex]x\ge \:-4[/tex]

Therefore, the function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

Answer:

I'm pretty sure it's A but I could be wrong

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-8 * ( 1/4) * (6)

= -12

Answer:

-12

Step-by-step explanation:

You must multiply 8 x 1/4 x 6 to get your answer

Answer:

Radius is 2.

2πr= 4π

r=4π/2π

r=2

Answer:

43:100

Step-by-step explanation:

this is the simplest form

Answer:

The answer is 100:43

Step-by-step explanation:

Answer:

d = 4.8 units

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]

~~~~~~~~~~~

( - 3, 2.6 )

( - 3, - 2.2 )

d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units

Answer:

table c

Step-by-step explanation:

Answer:

The answer is table b

Step-by-step explanation:

Answer:

What statements, the statements aren't listed in the question?

Step-by-step explanation:

Answer:

the dimensions of the toy box:

Step-by-step explanation:

x+1=2x

2x-5

90

like terms;

- crossing over becomes + and vice versa

soo 2x-2x +90-5

2x^2 cancels it self out leaving 90-5

=85.

Answer:

20g+60g+30g+30g=140g.

Answer: 0.14kg

Step-by-step explanation:

convert to kilograms by moving the decimal over 3 places to the left.  

he spends 9.6 hours sleeping each day! plz mark me the brainliest!

Answer:

12.4+16.9= 29.3 feet

Step-by-step explanation:

hope this helps

Answer:

((c)) man so simple. bye

Answer:

a. [tex]dV = 3x^2\ dx[/tex]

b. See Explanation

Step-by-step explanation:

Given

Shape: Cube

Solving (a); Formula that estimates the change in edge length

The volume (V) of a cube is:

[tex]V = x^3[/tex]

Where

[tex]x = edge\ length[/tex]

The change in volume is got by:

[tex]dV = \frac{d}{dx}(x^3)[/tex]

Differentiate [tex]x^3[/tex]

[tex]dV = 3x^2\ dx[/tex]

Where

[tex]dx = x_2 - x_1[/tex] i.e. change in x

Solving (b):

The initial and final edge lengths are not given.

In order to solve this question, I'll assume that x changes from 5cm to 5.01cm

So, we have:

[tex]x = x_1 = 5cm[/tex]

[tex]x_2 = 5.01cm[/tex]

Substitute these values in [tex]dV = 3x^2\ dx[/tex]

[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]

[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]

[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]

[tex]dV = 075cm^3[/tex]

Answer:

4

Step-by-step explanation:

sorry if it wrong

Answer:

4

Step-by-step explanation:

The answer is 4 because if you can count, then you can see that there 4 ticks/lines between each number.

(TIP: Do NOT count the actual number, just the line for the answer)

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   [tex]0.748  <  p <  0.842[/tex]      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is [tex]k = 159[/tex]

Generally the sample proportion is mathematically represented as

               [tex]\^ p = \frac{159}{200}[/tex]

=>               [tex]\^ p = 0.795[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>     [tex]E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} } [/tex]

=>     [tex]E = 0.04696 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex]0.795  -0.04696  <  p <  0.795 + 0.04696[/tex]

=>    [tex]0.748  <  p <  0.842[/tex]      

Answer:

1560 breaths

Step-by-step explanation:

130/5=26

26*60

1560 breaths

Step-by-step explanation:

[tex]4x + 20 = 3x \\ x = - 20[/tex]

Answer:

muliply those numbers. and then divide from the amount of money she has.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Graph B represents the values of x when x²<25.

If you take the square root of both sides, you get ±x<5

This means that x is any value in between, but not including, -5 to +5.

Answer:

i think its b

Step-by-step explanation:

Answer:

Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Answer: Only choices C and D are solutions

Answer:

Step-by-step explanation:

wxz = wxy + yxz

180 = x + 106

x = 180 - 106

x = 74°

Answer:

18162 widgets

Step-by-step explanation:

Given

[tex]C(x)=0.92x+85000[/tex]

[tex]R(x)=5.6x.[/tex]

Required

Determine the price at break even point

At breakeven point, the following relationship exists

[tex]Rx = C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]5.6x = 0.92x +85000[/tex]

Collect Like Terms

[tex]5.6x - 0.92x =85000[/tex]

[tex]4.68x =85000[/tex]

Make x the subject

[tex]x = \frac{85000}{4.68}[/tex]

[tex]x = 18162.3931624[/tex]

[tex]x = 18162[/tex] --- Approximated

Answer:

root 7 × root 7= root 21

Step-by-step explanation:

root21×root21=21 now 12×21 =252