5x-4[7+(2x-4)], for x=-3

Answer:

212

Step-by-step explanation:

[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]

[tex]3(9) + 2(100) + 15[/tex]

[tex]27 + 200 - 15[/tex]

[tex]212[/tex]

Answer:

I think it's D.................

Answer:

-1.22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

Answer:

The answer is 200000 milligrams

Hope that helped you

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

Answer:

the slope is 5

and the intercept is 0

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

show your work

Answer:

35rs of profit

Step-by-step explanation:

4*50=200rs- he spent

3*65+1*40=195+40=235rs- he got

235-200=35rs of profit

According to the figure:-

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Answer:

see explanation

Step-by-step explanation:

(7)

(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then

25x + 8 + 9x + 2 = 180 , that is

34x + 10 = 180 ( subtract 10 from both sides )

34x = 170 ( divide both sides by 34 )

x = 5

Then

9x + 2 = 9(5) + 2 = 45 + 2 = 47

(7y + 5) and (9x + 2) are vertical angles and are congruent , so

7y + 5 = 47 ( subtract 5 from both sides )

7y = 42 ( divide both sides by 7 )

y = 6

------------------------------------------------------

(8)

(11x - 24) and (7x + 30) are vertical angles and are congruent, so

11x - 24 = 7x + 30 ( subtract 7x from both sides )

4x - 24 = 30 ( add 24 to both sides )

4x = 54 ( divide both sides by 4 )

x = 13.5

Similarly

(17y - 4) and (5y + 38) are vertical angles and congruent , then

17y - 4 = 5y + 38 ( subtract 5y from both sides )

12y - 4 = 38 ( add 4 to both sides )

12y = 42 ( divide both sides by 12 )

y = 3.5

Answer:

C

Step-by-step explanation:

all whole numbers can be written as fractions that is over 1

Answer:

[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

Answer:

120°

Step-by-step explanation:

The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.

Answer:

120

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

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Answer:

q is 4

Step-by-step explanation:

[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

[tex]y = 2x[/tex]

therefore:

[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]

collect like terms:

[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]

Let,

As we know,

then,

→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]

      [tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]

      [tex]\frac{q}{4} = 5-q[/tex]

By applying cross-multiplication, we get

      [tex]q = 4(5-q)[/tex]

      [tex]q = 20-4q[/tex]

By adding "4q" both sides, we get

[tex]q+4q= 20-4q+4q[/tex]

     [tex]5q = 20[/tex]

       [tex]q = \frac{20}{5}[/tex]

       [tex]q = 4[/tex]

Thus the above value is correct.

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13.54 g/mL = (100 g)/v

==>   v = (100 g)/(13.54 g/mL) = 7.39 mL

The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.

To calculate the volume of 100 grams of mercury, we can use the density formula:

Density = Mass / Volume

We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.

Volume = Mass / Density

Substituting the given values:

Volume = 100 g / 13.54 g/mL

Simplifying the division:

Volume= 7.38 mL

Therefore, the volume of 100 grams of mercury is 7.38 mL.

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Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

Given that:

[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is:

[tex]t \ge 0[/tex]

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.

A function assigns the value of each element of one set to the other specific element of another set.

A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.

B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.

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Answer:

Step-by-step explanation:

x = first number

x + 2 = second number

x + 4 = third number

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

A variable

Answer:

The above given statement is true

Answer:

adding by 13

Step-by-step explanation:

subtract 54-41

Answer:

This is called a bisector.

Answer:

[tex]5x + 6y = 42[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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