Evaluate the expression 2(b+4), when b=5

Answer: from left to right -3,-1,1,3,5

Step-by-step explanation:

Substitute the x value from the chart into the equation for each number.

On applying the midpoint theorem the values of x, y, and z are 2, 10 and 8 respectively.

What is the mid-point theorem?

According to the midpoint theorem, the line segment connecting any two triangle sides' midpoints is parallel to and equal to half of the third side.

The outer triangle is ABC and the inner triangle is DEF.

It can be seen that sides AB, BC and AC are equally divided such that AD=DB,

BE=EC and

CF=FA.

So, this proves that point D, E and F are the middle points of AB, BC and AC respectively.

Now, according to the midpoint theorem -

DF = 1/2(BC)

Plugging in the values -

x = (5x-6)/2

2x = 5x-6

2x-5x = -6

-3x = -6

x = 2

Now, for side DE -

DE = 1/2(AC)

Plugging in the values -

12 = (2z+8)/2

24 = 2z+8

24-8 = 2z

16 = 2z

z = 8

Now, for side EF -

EF = 1/2(AB)

Plugging in the values -

y = 20/2

y = 10

Therefore, the values obtained are x=2, y=10 and z=8.

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Given:

The expression is:

[tex]6x^2+3x+21[/tex]

To find:

The factor of the given expression by GCF.

Solution:

It is given that,

[tex]6x^2+3x+21[/tex]

The terms of the given expression are [tex]6x^2,3x,21[/tex]. The greatest common factor of these terms is 3.

[tex]6x^2+3x+21=3\times 2x^2+3\times x+3\times 7[/tex]

So, taking out the GCF, the given expression can be rewritten as:

[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]

Therefore, the factor form of the given expression by GCF is [tex]3(2x^2+x+7)[/tex].

Equivalence Relation is a type of Relation that satisfies the property of Reflexive , Symmetric and Transitive , and an example of such relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] .

What is an Equivalence Relation ?

A relation R on a set A is can be called as an equivalence relation if and only if the relation is reflexive, symmetric and transitive.

It is a relationship on the set which is represented by symbol “∼”.

(i) Reflexive: A relation is termed as reflexive, if [tex](a, a) \in R[/tex], for every [tex]a \in A[/tex].

(ii) Symmetric: A relation is termed as symmetric, if [tex](a, b) \in R[/tex] , then [tex](b, a) \in R[/tex] .

(iii) Transitive: A relation is termed as transitive if [tex](a, b) \in R[/tex] and [tex](b, c) \in R[/tex], then [tex](a, c) \in R[/tex] .

An Example of Equivalence Relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] because ;

(i) [tex][ (1, 1),(2, 2), (3, 3), (4, 4) ] \in R[/tex] , So , R is Reflexive .

(ii) [tex](2,4) \in R[/tex] and [tex](4,2)\in R[/tex] , Thus ,  relation given by R is Symmetric .

(iii) [tex](3,1) \in R[/tex] and [tex](1,3) \in R[/tex] ⇒ [tex](3,3) \in R[/tex] , So R is Transitive .

Therefore , the Relation given by R is Equivalence Relation .

The given question is incomplete , the complete question is

What is Equivalence Relation and its Example ?

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Hi there!

We can find the values of x using right triangle trig.

Recall: SOHCAHTOA

sin = O/H (Opposite / Hypotenuse)

cos = A/H (Adjacent / Hypotenuse)

tan = O/A (Opposite / Adjacent)

Thus:

6. A = 14, H = 15

cos x = 14/15

cos⁻¹ (14/15) = x

x = 21.04° ≈ 21°

7. O = 19, A = 23

tan x = 19/23

tan⁻¹(19/23) = x

x = 39.56° ≈ 40°

8. A = 9, H = 17

cos x = 9/17

cos⁻¹(9/17) = x

x = 58.03 ≈ 58°

9. O = 43, H = 45

sin x = 43/45

sin⁻¹(43/45) = x

x = 72.85° ≈ 73°

Answer:

i think b) option b

Step-by-step explanation:

lmk if this is incorrect

Answer:

All real numbers for both Range and Domain

R

or

(−∞,∞)

Step-by-step explanation:

speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data

The top speed of a lion is 48 miles per hour.

Answer:

2

Step-by-step explanation:

100/5 = 20

x⁴ + 4 = 20

x⁴ = 20 - 4

x⁴ = 16

= 2 × 2 × 2 × 2

x⁴ = 2⁴

x = 2

Hence, the value of x is 2.

Answer:

can u give me the brainliest

the answer is in the attached documents

Answer:

x^-8.x^3

x^-8+3

x^-5

1/x^5

Step-by-step explanation:

Answer:

212

Step-by-step explanation:

Answer:

a. 1.05

b. 0.95

Step-by-step explanation:

a. 5 percent increase

5% = 0.05

Because it is increasing, so we add 1

1 + 0.05 = 1.05

b. 12 percent decrease

12% = 0.12

Because it is decreasing, so subtract 1

1 - 0.05 = 0.95

So, the answer is

a. 1.05

b. 0.95

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

given

Example: 50th box of cereal

All cereal boxes are lined up in the population

Example Parameter: The cereal box's average weight

Population metric: The cereal on the line's average weight

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

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Answer:

Part A

2 hours 10 minutes

Part B;

Please find attached a number line created with MS Visio

Part C

The completed explanation is given as follows

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m

Step-by-step explanation:

Part A

The given parameters are;

The time the first showing starts, t₁ = 4:35 p.m.

The time the first showing starts, t₂ = 7:15 p.m.

The time interval between shows, [tex]t_{interval}[/tex] = 1/2 hours = 30 minutes

Let 'x' represent the video in minutes, we have;

x = 7:15 - 4:35 - 30 = 2 hours 40 minutes - 30 minutes = 2 hours 10 minutes

The length of the video = 2 hours 10 minutes

Part B;

Using the number line, we have;

1) Plotting the points for the starting and  points for the two showing points which are 4:35 pm. and 7:15 p.m.

2) Plot the point 30 minutes before the start of the second movie which is 6:45 p.m and find the time difference between the start of the first showing and the point 6:45 p.m. which gives the length of the movie which is 2 hours and 10 minutes

3) Given that the second showing starts 20 minutes late, the second showing will start at 7:15 p.m. + 20 min = 7:35 p.m.

4) The second showing ends at 7:35 p.m. + 2 hours 10 minutes = 9:45 p.m.

Therefore, the second showing will be over 9:35 p.m.

Part C

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m.

Step-by-step explanation:

1. a + 130 =.180 ---> a = 50°

b + 130 + 120 = 360 ---> b = 110°

c + 120 = 180 ---> c = 60°

2. p + 44 = 180 ---> p = 136°

q + 44 = 180 ---> q = 136°

r = 44° (definition of vertical angles)

t = 34° (definition of vertical angles)

3. x = 50° (definition of vertical angles)

y = 50° (definition of alternate external angles)

Answer:

18

Step-by-step explanation:

You can use a calculator for this

60%*30=18

or, if you want to solve it by hand, 60% equals 0.6=6/10=3/5

(3/5)*30=90/5=18

Answer:

18

Step-by-step explanation:

have a nice day!!

Answer:

C

Step-by-step explanation:

To prove that two triangles are congruent using the SSS Congruence criterion, we must establish that all three sides of one triangle are equal to all the corresponding sides of the other.

Thus,

Side AD in ∆ADB is congruent to side AD in ∆ADC.

Side BD in ∆ADB is congruent to side CD in ∆ADC.

Side AB in ∆ADB is congruent to side AC in ∆ADC.

Therefore, based on the SSS congruence criterion, it is concluded that both triangles are congruent.

The statements necessary to prove that they are congruent by SSS is:

C.

The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

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D was the answer for me.

Answer:

its c

Step-by-step explanation:

I just took the test

Answer:

F.

Step-by-step explanation:

y = k/x where k is a constant

given that x = 4 when y = 3, we have:

3 = k/4

So, k =12.

The equation of variation is:

y = 12/x

When x = 15

y = 12/15 = 4/5.

So not 12 so this is False,

Answer:

add all the sides together and if thats not it you learned something different from me:)

Answer: 384 yd

Step-by-step explanation: To find the surface area of a cube, simply calculate using this formula: [tex]SA=6a^2[/tex]. In this case, the [tex]a[/tex] is equal to 8 yards, input the number 8 into the formula.

[tex]SA=6(8)^2[/tex]

[tex]SA=384[/tex]

Hope this helped! ;)

Answer:

s-74

Step-by-step explanation:

She ate 74 candies, out of the total S candies. So, if we do S-74, well find how many are left.

Answer: Tom can come up with 13 different wacky personalities for Mr Potato Head.

Step-by-step explanation:

Tom can come up with 3 different hairstyles for Mr Potato Head, 2 sets of eyebrows, 1 pair of googly eyes, 2 sets of ears, and 2 sets of lips. He also has 2 pairs of shoes to choose from. If Mr Potato Head can be bald, Tom can also choose to not include a hairstyle.

In total, Tom can come up with 3+2+1+2+2+2+1=13 different combinations of features for Mr Potato Head. Since each combination represents a different personality, Tom can come up with 13 different wacky personalities for Mr Potato Head.

The greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

the factor of 20q¹⁰ is 2*2*5*q*q*q*q*q*q*q*q*q*q

the factor of 10q⁹ is 2*5*q*q*q*q*q*q*q*q*q

the factor of 30q⁸ is 2*3*5*q*q*q*q*q*q*q*q

the factor of 20q⁷ is 2*2*5*q*q*q*q*q*q*q

So that the common factor of all the above terms is 2*5*q*q*q*q*q*q*q

the common factor of all the above terms= 10q⁷

So that the greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

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One way to solve a system of 3 equations with 3 variables is to use Gaussian elimination or Gauss-Jordan elimination method.

Gaussian elimination method:

The steps for Gaussian elimination are as follows:

Gauss-Jordan elimination method is similar to Gaussian elimination, however in the final step, it converts the matrix into a Reduced Row Echelon Form (RREF) which leads to more easily solving the system of equations.

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The value of k⁻¹(8) in for k(x) = 4 ÷ 5x - 6 is 2/35.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, k(x) = 4 ÷ 5x - 6.

k(x) = (4/5x) - 6.

Let, y = k(x).

y =  (4/5x) - 6.

(4/5x) = y + 6.

1/x = 5(y + 6)/4.

x = 4/{5(y + 6)}.

y = 4/{5(x + 6)}.

k⁻¹(x) = 4/{5(x + 6)}.

k⁻¹(8) = 4/{5(8 + 6)}.

k⁻¹(8) = 4/{5(14)}.

k⁻¹(8) = 4/70.

k⁻¹(8) = 2/35.

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the speed of the car

=========================================================

Reason:

The term "gradient" is the same as "slope".

Recall that slope = rise/run = (change in y)/(change in x).

The change in y represents how far you travel, as the distance is along the vertical axis. The change in x is the time duration.

Then,

speed = distance/time

which helps show the slope of this distance-time graph is the speed of the car. The steeper the slope, the faster the car.

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

An example:

The equation y = 50x has slope 50. The x is the time and y is the distance traveled.

At time x = 0 hours, you have traveled y = 0 miles.

At time x = 1 hour, you have traveled y = 50 miles.

The two points (0,0) and (1,50) are on this line. Use the slope formula to get a slope of 50, which represents the speed of the car in miles per hour (mph). Or note that y = 50x is in the form y = mx+b

m = slope = 50

b = y intercept = 0

Answer:

Consecutive odd numbers will be 11 and 13.

Step-by-step explanation:

Let the two consecutive odd integers are n and (n + 2).

From the given question,

Sum between twice the smallest and the biggest is 35.

Since, smallest number is 'n' and biggest is (n + 2)

Therefore equation will be,

2n + (n + 2) = 35

(2n + n) + 2 = 35

3n + 2 = 35

3n = 33

n = 11

And (n + 2) = 13

Consecutive odd numbers will be,

11, 13