Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  [tex]5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)[/tex]

Answer:

A)

[tex]k=0[/tex]

B)

[tex]\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}[/tex]

C)

[tex]\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}[/tex]

A)

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

[tex]\displaystyle (20) = 20e^{k(1)}[/tex]

Simplify:

[tex]1= e^k[/tex]

Anything raised to zero (except for zero) is one. Therefore:

[tex]k=0[/tex]

B)

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

[tex]\displaystyle (40) = 20e^{k(1)}[/tex]

Simplify:

[tex]\displaystyle 2 = e^{k}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}[/tex]

By definition, ln(e) = 1. Hence:

[tex]\displaystyle k = \ln 2[/tex]

Therefore:

[tex]2k+1 = 2\ln 2+ 1 \approx 2.3863[/tex]

C)

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

[tex]\displaystyle (10) = 20e^{k(1)}[/tex]

Simplfy:

[tex]\displaystyle \frac{1}{2} = e^k[/tex]

Take the natural log of both sides:

[tex]\displaystyle \ln \frac{1}{2} = k\ln e[/tex]

Therefore:

[tex]\displaystyle k = \ln \frac{1}{2}[/tex]

Therefore:

[tex]\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931[/tex]

Answer:

[tex]\approx 0.482659[/tex]

Step-by-step explanation:

The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:

[tex]\frac{desired}{total}[/tex]

However, the experimental probability can be described with the following formula:

[tex]\frac{number\ of\ desired\ outcomes}{number\ of \ trials}[/tex]

The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:

[tex]\frac{tails}{total}[/tex]

One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:

[tex]\frac{tails}{heads+tails}[/tex]

Substitute,

[tex]\frac{167}{167+179}[/tex]

Simplify,

[tex]\frac{167}{346}[/tex]

Rewrite as a decimal:

[tex]\approx 0.482659[/tex]

Answer: Because they are corresponding angles (second option is the answer).

Answer:

second option...because they are corresponding angles..

STEP BY STEP EXPLANATION: corresponding angles are formed when two parallel lines are intersected by the transversal

the corresponding angles are 2 and 6

Answer:

YWX = DFE

Step-by-step explanation:

AAS means angle angle side. so, we need 2 angles and 1 side.

we have 1 side and one angle confirmed.

so, we need one of the other two angles (W or Y vs. F or D) confirmed.

they probably want W and F as answer, as Y and D would make it a special case of AAS : ASA.

Answer:

3.6 hours

Step-by-step explanation:

The formula is

1/a+1/b = 1/c  where a and b are the times working along and c is the time working together

1/6 + 1/9 = 1/c

Multiply by 36c to clear the fractions

36c (1/6 + 1/9 = 1/c)

6c +4c = 36

10c = 36

Divide by 10

10c/10 = 36/10

c = 3.6 hours working together

Answer:

A. Mutually Exclusive

Step-by-step explanation:

Mutually exclusive events:

Two events are mutually exclusive if they cannot happen together, that is, supposing the events are A and B:

[tex]P(A \cap B) = 0[/tex]

Choosing a student who is a French major or a chemistry major

Since each student only has one major, the student cannot be both a French and a Chemistry major, that is, [tex]P(A \cap B) = 0[/tex], so they are mutually exclusive and the correct answer is given by option A.

Answer:

1

Step-by-step explanation:

Given,

h ( x ) = - x + 1

To find : h ( 0 ) = ?

h ( 0 )

= - ( 0 ) + 1

= 1

Answer: 1

Step-by-step explanation:

h(x) = -x + 1

To Find = h(0)

= -(0) + 1

= 1

Answered by GauthMath if you like pls heart it and comment thanks

Answer:

answer of question number 1 is 2400, 2880, 3600 respectively.

answer of question number 2 is 1384 and 1680.

Step-by-step explanation:

100×24=2400

120×24=2880

150×24=3600

692×2=1384

420×4=1680

9514 1404 393

Answer:

  1.56×10^10 cL

Step-by-step explanation:

There are 1000 liters in a cubic meter, so 10^5 centiliters in a cubic meter. The 1.56×10^5 cubic meters will then have ...

  (1.56×10^5 m^3)×(10^5 cL/m^3) = 1.56×10^10 cL

_____

That's 15,600,000,000 cL.

"Centi-" is a prefix meaning 1/100.

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

Answer:

A

Step-by-step explanation:

Because we can rearrange the equation and get:

x²=5+4

x²=9

[tex]x = \sqrt{9} [/tex]

[tex]x = + 3 \: \: or \: \: - 3[/tex]

Each child will get 9 pieces with 13 pieces left.

'Division is a method of distributing a group of things into equal parts.'

According to the given problem,

Number of beads Kesley has = 157

Number of children to be shared between = 16

Number of beads in possession of each child = 157 ÷ 16

                                                                             = 9

Number of beads divided equally = 144

Remaining beans = 157 - 144

                              = 13

Hence, we can conclude that out of 157 beans, 144 is divided equally among 16 children with each child getting 9 pieces.

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Answer:

Step-by-step explanation:

The next term is going to be simply 38*19 = 722

The series is geometric which means that you multiply from one term to get to the next.

The ratio of 19, and the current term is 38. So to get to the next term, multiply 38 * 19

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choose the table in which all of the y-values are 4 times the corresponding x-values.

If there is a row in a table in which y is not 4x, reject that table. For example, in the first row of the first table we have x=0, so y = 4(0) = 0, but the table has y=4. The first table can be rejected.

Answer:D got the question and got it right

Step-by-step explanation:

x y

2 8

4 16

8 32

Answer:

Step-by-step explanation:

192

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:b

No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.

One real root. The graph touches the  x -axis in one place.  →

Two real roots. The graph crosses the x -axis twice.

Answer:

All have exactly one solution

Step-by-step explanation:

a) -13x + 12 = 13x - 13

   +13x         +13x

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

          12 = 26x - 13

         +13           +13

         -------------------

           25 = 26x

          -----   ------

           26     26

          25/26 = x

b) 12x + 12 = 13x - 12

   -12x          -12x

  -----------------------

          12 = x - 12

        +12       +12

        -----------------

            24 = x

c) 12x + 12 = 13x + 12

  -12x          -12x

 -----------------------------

           12 = x + 12

           0 = x

d) -13x + 12 = 13x + 13

   +13x           +13x

 -----------------------------

         12 = 26x + 13

        -13             -13

      -----------------------

          -1  = 26x

          ---      -----

          26       26

          -1/26 = x

Answer:

(0.7044 ; 3.0956)

Step-by-step explanation:

Given:

GROUP A:

n1 = 25

x1 = 12.7

s1 = 2.2

GROUP B :

n2 = 25

x2 = 10.8

s2= 2.0

The obtain the confidence interval assuming unequal population variance :

(x1 - x2) ± tα/2[√(s1²/n1 + s2²/n2)]

The degree of freedom :

df = (s1²/n1 + s2²/n2)² ÷ (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

The degree of freedom :

(2.2²/25 + 2²/25)² ÷ (2.2²/25)²/24 + (2²/25)²/24

df = 0.12503296 ÷ (0.0015617 + 0.0010666)

df = 47.57 ;

df = 48

Tcritical value ; α = 95% ; df = 48

Tcritical = 2.0106

C.I = (12.7 - 10.8) ± 2.0106[√(2.2²/25 + 2²/25)]

C.I = 1.9 ± (2.0106 * 0.5946427)

C.I = 1.9 ± 1.1955887

C. I = (0.7044 ; 3.0956)

Answer:

A. Combination.

B. 17020

Step-by-step explanation:

A. Determination whether it is permutation or combination.

From the question given above, we were told that the student body of 185 students wants to elect two (2) representatives.

This is clearly combination because it involves a selecting process (i.e selecting 2 out of 185).

NOTE: Combination involves selecting while permutation involves arranging.

B. Determination of the combination.

Total number of people (n) = 185

Number of chosen people (r) = 2

Number of combination (ₙCᵣ) =?

ₙCᵣ = n! / (n – r)! r !

₁₈₅C₂ = 185! / (185 – 2)! 2!

₁₈₅C₂ = 185! / 183! 2!

₁₈₅C₂ = 185 × 184 × 183! / 183! 2!

₁₈₅C₂ = 185 × 184 / 2!

₁₈₅C₂ = 185 × 184 / 2 × 1

₁₈₅C₂ = 34040 / 2

₁₈₅C₂ = 17020

9514 1404 393

Answer:

  19

Step-by-step explanation:

After x days, the boy will have read 10x. If this is less than 192, we have ...

  10x < 192

  x < 192/10

  x < 19.2

If x is an integer, the largest possible value x could have is 19.

Answer:

In a class of 50 students, 30 participated in athletics and 25 participated in music. Drawing a Venn- diagram , calculate how many students ...

Answer:

ok

Step-by-step explanation:

t7y7y8 I am not going out for the

Answer:

[tex]P(x \le 5) = 0.0110[/tex]

Step-by-step explanation:

Given

[tex]n = 17[/tex] -- number of properties

[tex]p = 60\%[/tex] --- probability of selling a property

Required

[tex]P(x \le 5)[/tex]

The question is an illustration of binomial probability, and it is calculated using:

[tex]P(x ) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)[/tex]

[tex]P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}[/tex]

[tex]P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086[/tex]

[tex]P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039[/tex]

[tex]P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799[/tex]

[tex]P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948[/tex]

[tex]P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842[/tex]

So, we have:

[tex]P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842[/tex]

[tex]P(x \le 5) = 0.01059420251[/tex]

[tex]P(x \le 5) = 0.0110[/tex]

Answer:

x sqrt(2)

Step-by-step explanation:

sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt( 14 x^3) / sqrt(7x)

sqrt(14x^3/7x)

sqrt(2x^2)

sqrt(ab) = sqrt(a)sqrt(b)

sqrt(x^2) sqrt(2)

x sqrt(2)

Answer:

Newton's law of coming states that the rate at which an object cools is proportional to the differences in temperature between the object and the object's surroundings.

Answer:

It is the rate of heat loss of a body that is directly proportional to the difference in the temperatures between the body and its surroundings.                                                  Q= h* A* (T(object) -T(environment) )

The number of edges in the given figure is 15. The correct option is B.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The shape is made up of the triangular prism and the trapezoidal prism the total number of edges in the shape will be 15.

Therefore, the number of edges in the given figure is 15. The correct option is B.

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