solving systems of equations in three variables

Answer:

cos(60) = sin(30)

Step-by-step explanation:

cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°

sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

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Answer:

The slope = 3

Step-by-step explanation:

The points are:

( 1, 2 ) = x₁ , y₁

( 3, 8 ) = x₂ , y₂

The slope is calculates as follows:

slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]

Answer: The slope of the line is 3

Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps  

Answer:

There doesnt seem to be a mode

Step-by-step explanation:

The mode is the number that ocurs most in the sequence

EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

Using a linear equation, we find c using:

[tex]42 = 18 + 4c[/tex]

A linear function has the following format:

[tex]A(n) = A(0) + cn[/tex]

In which:

In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]

She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]

Then

[tex]A(n) = A(0) + cn[/tex]

[tex]42 = 18 + 4c[/tex]

Hence, the equation to find c is:

[tex]42 = 18 + 4c[/tex]

A similar problem is given at https://brainly.com/question/16302622

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

the answer of ur question is 0.25

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Answer:

104%

Step-by-step explanation:

Answer:

2√5

Step-by-step explanation:

√125-√45​

5√5 - 3√5........simplify

2√5....................combine like terms

125 √45

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

Answer:

p=v-u/t440-500=-60 this is decreasing in the rent so it decreased

Answer:

x= -64, y= 55

Step-by-step explanation:

x=-y-9

6(y-9)-5y=1

6y-54-5y=1

y=55

x=-55-9

x=-64

Answer:

{x=-4

{x= -5

Step-by-step explanation:

Substitute into one of the equations:6(- y -9) - 5y=1

Apply Multiplicative Distribution Law:- 6y-54-5y=1

Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54

Combine like terms:- 11y= 1+54

Calculate the sum or difference:-11y=55

Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)

Remove the parentheses:y = -55÷11

Calculate the product or quotient:y=-5

Substitute into one of the equations:x=-(-5)-9

Remove the parentheses:x=5-9

Calculate the sum or difference:x=-4

The solution of the system is:{x=-4

{x=-5.

Answer:

B and D.

Brainliest please. :)

Answer:

1.A

2.D

3.B

4.C

5.D

6.A

7.C

8.C

9.D

Step-by-step explanation:

Answer:

The baker baked 375 loaves of bread that day.

Step-by-step explanation:

The baker baked a total of x loaves of bread.

240 loaves were sold by the end of the day.

The baker was then left with 9/25 of the number of loaves that were baked.

We get the equation:

x-240 = 9x/25

When you solve the equation, you will see that x=375.

Therefore, the baker baked 375 loaves of bread that day.

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

Answer:

∠PQC = 26.25°

Step-by-step explanation:

Finding ∠PQC

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

Hey there!

I'm going to go in order from images.

1. The angle measure 60 is linear to angle 6, this would make them supplementary.

Angle 6: 180 - 60 = 120

Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.

2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.

If angle 2 equals 120 measure 6 also equals 120.

3. The 2 equations are alternate exterior angles.

2x+5=8x-7

    +7     +7

2x+12=8x

-2x     -2x

12=6x

12/6= 2

x=2

4. I cannot explain this one without showing it visually lol.

Measure 5 equals 30 degrees.

5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.

If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.

I hope this helps!!!

we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2

so the answer is D

ok done. Thank to me :>

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

for more questions like this see, https://brainly.com/question/19261165

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

First, let's pick two points on the line.

    I am going to pick (10, 10) and (40, 20) as they are easier to read.

Slope is rise over run, or in other words, change in y over change in x.

    Let's do the math:

[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]

    So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather