Solve logx − 116 = 4

Answer: A. one real solution

This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.

Answer:

Plumer : $198

Electrition : $270

Step-by-step explanation:

The Electrician makes $ 216 and Plumber makes $ 252

The hourly wage of the electrician = $ 24

The hourly wage of the plumber = $ 42

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the hourly wage of electrician be = $ x

Let the hourly wage of plumber be = $ y

The average of hourly wage of an electrician and plumber = $ 33

So , ( x + y ) / 2 = 33

Multiply by 2 on both sides , we get

x + y = 66   be equation (1)

And , One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work

So , total wages =
9 hours of work by electrician + 6 hours of work by plumber

9x + 6y = $ 468   be equation (2)

Now , we have 2 equations

Multiply equation (1) by 6 , we get

6x + 6y = 396   be equation (3)

And ,

equation (2) - equation (3) , we get

3x = 72

Divide by 3 on both sides , we get

x = 24

Substituting the value of x in equation (1) , we get

y + 24 = 66

Subtracting 24 on both sides, we get

y = 42

So , the hourly wage of electrician is $ 24 and the hourly wage of plumber is $ 42

Now , wage of electrician for 9 hours = 24 x 9

                                                              = $ 216

Wage of plumber for 6 hours = 42 x 6

                                                 = $ 252

So total wage = 216 + 252 = $ 468

Hence , the electrician makes $ 216 and plumber makes $ 252

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Answer:

EF is not parallel to HL.

Step-by-step explanation:

They are not parallel because angle HLG is not equal to angle EFG. If the two lengths WERE parallel, those two angles would be equal. Angle GHL would be equal to angle GEF, but they are not equal, either.

Hope this helps!

Answer:

1)   5x³ + 3x²

2)  25 - 3x⁵

3)  -4ab + 2a² + 26

4)   p²q³ + pq

Step-by-step explanation:

Like terms are expressions like 3x and 2x or 5x² and 8x².

1)  x² + 5x³ + 2x²

    5x³ + 3x²

2)  -2x⁴ + 16 + 2x⁴ + 9 - 3x⁵

     -2x⁴ + 2x⁴ + 25 - 3x⁵

      25 - 3x⁵

3)  ab - a² + 4² - 5ab + 3a² + 10

     ab - a² + 16 - 5ab + 3a² + 10

     ab - a² - 5ab + 3a² + 26

     ab - 5ab + 2a² + 26

     -4ab + 2a² + 26

4)  3p²q² - 3p²q³ + 4p²q³ - 3p²q² + pq

     3p²q² + p²q³ - 3p²q² + pq

     p²q³ + pq

Answer:

Step-by-step explanation:

reqd. space=difference of volumes=4/3 πR³-4/3πr³=4/3π(R³-r³)

=4/3 π(5³-4³)

=4/3 π(125-64)

=4/3π(61)

≈255.5 cm³

Answer:Answer = 0

Step-by-step explanation:

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

Answer:

your answer is "A" 1/3

Step-by-step explanation:

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

Answer:

B. 3,300

Divide 28,875 by 109,800,724.

Answer:

B

Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated

Answer: it is a

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

both sides look the exact same and the body its to line of reflection

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

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Answer:

Just a guess but I think 5

Step-by-step explanation:

The top right square on all boxes is the difference of the second box and the first box which equals the third box. This rule is applied to all of the other boxes so if I'm not wrong the question mark should be 5

Answer:es el #5

Step-by-step explanation:

;)

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

Answer:

Y=1/5x+1

Step-by-step explanation:

change the y intercept so it is 1

Answer:

16.492422502 units or 4√17 units

Step-by-step explanation:

The Perimeter of a Square can be defined as the Addition of it's 4 sides or the Multiplication of 4 and one of its sides.

This means,

The perimeter of square = a + b + c + d

or

4 × any of the sides because the sides of a square are equal to one another.

In the above question, we are given vertices at A(-1,3) B(0,7) C(4,6) and D(3,2)

The formula to solve for this is

√(x2 - x1)² + (y2 - y1)² when you have vertices: (x1 , y1 ) and (x2 , y2)

For Side AB: A(-1,3), B(0,7)

= √(x2 - x1)² + (y2 - y1)²

= √(0- (-1))² + (7 - 3)² = √1² + 4² = √1 + 16 = √17

For Side BC: B(0,7), C(4,6)

√(x2 - x1)² + (y2 - y1)²

= √(4 - 0)² + (6 - 7)² = √4² + 1² = √16 + 1 = √17

For Side AD : A(-1,3), D(3,2)

= √(x2 - x1)² + (y2 - y1)²

= √(3- (-1))² + (2 - 3)² = √4² + (-1)² = √16 + 1= √17

For Side CD: C(4,6), D(3,2)

= √(x2 - x1)² + (y2 - y1)²

= √(3 - 4)² + (6 - 2)² = √-1² + 4² = √1 + 16 = √17

From the above calculations we can side that sides AB = BC = AC = CD

Hence the perimeter of square ABCD can be calculated as 4 × √17 or √17 + √17 + √17 + √17

= 16.492422502 units or 4√17 units

Answer:

  b. 30°

Step-by-step explanation:

In quadrilateral OTPR, angles O and P are supplementary.

  angle P = 180° -angle O = 180° -150°

  angle P = 30° . . . . matches choice B

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

Answer:

3.1415926535 8979

Step-by-step explanation:

bruh just search it in google

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

The range is { -2 ≤ y≤ 3 } .

Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.

Reflection is to create a mirror image of the coordinate or the figure.

After reflection along any axis, the coordinate of the other axis changes to its additive inverse.

(x,y) ----> when reflected along y axis ----> ( -x , y)

The domain is all the values a function can have as input and the range is all the values that a function can have.

The original coordinate changes to  (-1,3),(2,1),(5,-1)and(-1,-2).

When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.

So the value of the domain changes while the range remains the same.

The range is { -2 ≤y≤3}

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Answer:

c. y>x

Step-by-step explanation:

When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.

Here is what I mean by this:

Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.

x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.

Now that we have an expression which is equal to x.

We can directly replace that with the 3x in the other equation by multypling this by 3:

x = 7 - 2y → 3(x) - 1/2y = 1

3(7 - 2y) - 1/2y = 1

Now that we only have y's, we can simply the equation, and solve for y.

21 - 6y - 1/2y = 1

21 -13/2y = 1

(get rid of the constant on the left side by subtracting)

-21 -21

-13/2y = -20

(remove the denominator by Multiplying)

×2 ×2

-13y = -40

÷13 ÷13

(cancel out the coefficient by dividing)

-y = -40/13

(take the opposite of the other side to make y positive)

×-1 ×-1

y = 40/13.

Now that we have y just solve for x since we already have a term of x in the other equation:

y = 40/13 → x + 2y = 7

x + 2(40/13) = 7

x + 80/13 = 7

Then subtract both constants to find x:

x + 80/13 - 80/13 = 7 - 80/13

x = 7 - 80/13

(create like denominators, but Multipy

Answer: Neither angle measures nor segment lengths

Answer:

D:  Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle.  Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2      This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute.  Answer D is correct:  This is an acute triangle.

Answer: D) Acute

Step-by-step explanation:

Answer:

Graph A is not proportional

Step-by-step explanation:

To have a proportional relationship, the line must go through (0,0)

Graph A does not go through (0,0) so it is not a proportional relationship

Answer:

not sure,but I think the answer is 3 to 4

Answer:

4 terms

Step-by-step explanation:

There are 4 terms in the given expression:

=> 55

=> 14n

=> -2m

=> 3p