What is the formula for finding the area of abc?

The correct representations of this solution are

The inequality is given as:

6 + 2n > 12

The solution is given as:

n > 3

When the above inequality is represented as an interval, we have:

(3, ∞)

Also, the inequality symbol > is represented using an open circle.

This means that the number line would use an open circle and the arrow would point right

Hence, the correct representations of this solution are (d) and (e)

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Answer:

26.85%

Step-by-step explanation:

first you find the difference in price increase

633-499=134

*percentage increase=increase value/original value x100

so;=134/499x100=28.85%

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Answer:

it depends on which state your in or in your even in the us usually it is either 6% or 4% some times more or less % so im going to do both

50*0.06=53

50*0.04=52

Hope This Helps!!!

Answer:

12

Step-by-step explanation:

1.5 is 1 1/2 in decimal form

1.5×8=12

Answer:

angle 1 is equal to angle 4 ( vertically opposite angles)

if angle 1 is congruent to angle 8

then angle 4 is also congruent to angle 8

then slope of line L and n is equal

that is L is parallel to n

Answer:

C the prove is right there on the graph

Answer:

C

Step-by-step explanation:

The graph clearly shows that all the numbers are greater than -6

Answer:

15 drops per minute

Step-by-step explanation:

(drops per minute) flow/drip rate: volume ÷ time × drop factor

note:

volume (mL)

time (minutes)\

30 / 30 = 1

1 * 15 = 15

so, 15 drops per minute will be delivered

hope this helps!! have a lovely day :)

Answer:

15 drops/minute

Step-by-step explanation:

30 ÷ 30 = 1

1 · 15 = 15

hope this is helpful :)

The cost price of the table is $40.

Gain is the amount gain by selling the product at a higher price than its cost.

Let the cost of the table is $ x

The percentage gain is x%  (as given in the question)

Cost price = ?

It is known that

Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price

Selling price = 56

Cost Price = $ x

Therefore substituting the value

x = (56 - x) * 100 / x

x² = 5600 - 100x

x² +100x -5600 = 0

Step 2 : Factorizing

x² + 140x - 40 x -5600 = 0

x( x+14 ) -40( x +14) = 0

( x - 40)(x +14) = 0

x = $40

Therefore the cost price of the table is $40.

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H0: µ1 = µ2; The exercise program do not have significant effect on physical fitness, H1: µ1 =/ µ2; the exercise program had a significant effect on physical fitness and the  Estimated Cohen's d is 0.82.

A. Significant effect

H0: µ1 = µ2

Based on the above hypothesis the exercise program does not have significant effect on physical fitness

H1: µ1 =/ µ2

Based on the above hypothesis the exercise program had a significant effect on physical fitness

Pooled variance: sp2 = (190 + 120.5/(15-1) + (10-1)

Pooled variance: sp2 = 310.5/23

Pooled variance: sp2 =13.5

Estimated standard error ( sM1-M2):

sM1-M2 =√13.5/15 +13.5/10

sM1-M2 =√2.25

sM1-M2 = 1.5

Tailed test (t)

t = (15.5 - 12)/1.5

t=3.5/1.5

t= 2.33

B. Estimated Cohen's d:

Estimated Cohen's d  = 3/√13.5

Estimated Cohen's d = 3/3.67

Estimated Cohen's d= 0.817

Estimated Cohen's d= 0.82 (Approximately); this is a large effect.

Conclusion demonstrating how the outcome of the hypothesis test would tend to appear in a research report is:  (Reject H0). Because the  group exercise program tend to have a significant effect on the physical fitness of elderly adults, t = 2.33, p <.05, d = 0.82.

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Answer:

7.81 cm

Step-by-step explanation:

diameter = 12, 12/2 = 6

(r+5)(r-5) = 6 * 6

r^2 - 25 = 36

r^2 = 61

r = 7.81

radius = 7.81 cm

Answer:

26

Step-by-step explanation:

Answer:

a=6 it's even

Step-by-step explanation:

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Answer:

A= 4

B= 3

i got it right.

Answer:

A is correct yes

Step-by-step explanation:

ndnanndnqnjed

Answer:

-21

Step-by-step explanation:

37 - 45 - 13 is translated

-8 - 13

-21

Answer:

33

Step-by-step explanation:

3² = 3.3 = 9 => 24 + 9 = 33

The subtraction of the expression will be 238 cubic feet, 551 cubic inches.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

The expressions are given below.

9 cubic yd 113 cubic in and 4 cubic ft 129 cubic in

1 cubic yard = 27 cubic feet

1 cubic feet = 1728 cubic inches

Then the subtraction will be

    242 cu ft 1841 cu in

   −   4 cu ft 1290 cu in

   238 cu ft 551 cu in

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The composite function of f o g are (-4,-5),(0,3),(1,6). The composite function of g o f are (-5,0),(3,-4),(6,1).

A function is defined as a relation between the set of inputs having exactly one output each.

Given;

f = {(-4,-5),(0,3),(1,6)}

g = {(-5,0),(3,-4),(6,1)}.

In order to find f o g and g o f,

f o g  = f(g)

The composite function of f o g

f(-5,0) = (-4,-5)

f(3,-4) = (0,3)

f(6,1) = (1,6)

The composite function of g o f

g(-4,-5) = (-5,0)

g(0,3) = (3,-4)

g (1,6) = (6,1)

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Answer:

C

Step-by-step explanation:

x = [tex]\frac{2}{3}[/tex] πr³ ( multiply both sides by 3 to clear the fraction )

3x = 2πr³ ( divide both sides by 2π )

[tex]\frac{3x}{2\pi }[/tex] = r³ ( take cube root of both sides )

[tex]\sqrt[3]{\frac{3x}{2\pi } }[/tex] = r

Answer:

[tex]r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]

Step-by-step explanation:

This question make look scary, but don't judge its book by its cover.

[tex]x=\frac{2}{3} \pi r^{3} \\\frac{2}{3} \pi r^{3}=x\\r^{3} =x / \frac{2\pi }{3} \\r^{3} =x*\frac{3}{2\pi } \\r^{3} =\frac{3x}{2\pi } \\r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]

Step-by-step explanation:

Anything which has a decimal point is not a whole number

6830 is

66 is

717.59 is not

808 is

42.3 is not

1/10 = 0.1 ergo is not

If the two buses are 640 miles apart after 5 hours. Then the rate of each bus will be 57 miles per hour and 71 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave a station at the same time and travel in opposite directions.

One bus travels 14 miles faster than the other.

Let x be the speed of first bus. Then the speed of the second bus will be (x + 14).

If the two buses are 640 miles apart after 5 hours.

Then the rate of each bus will be

Then the relative speed of the buses will be

S = x + x + 14

S = 2x + 14

Then the value of x will be

2x + 14 = 640 / 5

2x + 14 = 128

      2x = 114

        x = 57 miles per hour

Then the speed of the other bus will be

⇒ 57 + 14

⇒ 71 miles per hour

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The percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean,μ = 25

Standard deviation,σ=0.8

The Z score is found as;

[tex]\rm Z = \frac{x-\mu}{ \sigma } \\\\ Z = \frac{24-25}{0.8} \\\\ Z= -1.25[/tex]

The P-value for the obtained z score is  .2113.

Hence the percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

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Answer:

m = 6, b= 9

Step-by-step explanation:

Simplifying the equation, we get y = 6x + 9.

Matching this up with y = mx + b, we get m = 6 and b = 9.

Answer:

27 boxses

Step-by-step explanation:

calculations is shown in the picture

The probability that a boy is selected is 0.5357 or 53.57%

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

P(boy) is asking for the probability that a boy will be chosen to read a poem out loud. Since there are 15 boys, we can get the probability by dividing this by the total number of students.

This is because out of all the students, there is an equal possibility that each of the 15 boys will be chosen.

P = ( 15 ) / ( 15+13)

P = 15 / 28

P = 0.5357

Therefore the probability that a boy is selected is 0.5357 or 53.57%

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Answer:

53.57%

Step-by-step explanation:

The equation in terms of t that models the situation is given by

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex].

We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as

[tex]A = P(1+\frac{r}{n})^{nt}[/tex],

where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.

Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710

So, we can write

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]

Therefore the required equation is

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]

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Answer:

a² b² c² equals mc² and that is the answer

The student did not make any mistake, the solution is correct. Then the correct option is A.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

A student perform the following steps to find the solution of the equation x² – 2x – 15 = 0.

The factor of the equation will be

Step 1 :  x² – 2x – 15 = (x – 5)(x + 3)

Step 2 : (x – 5) = 0 and (x + 3) = 0

Step 3 : x = 5 and – 3

The student did not make any mistake, the solution is correct.

Then the correct option is A.

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Step-by-step explanation:

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The answer of this expression is 369

We know that to solve a numerical expression, we will calculate with property base form.

When there are symbols in an expression, we first solve the numbers in order that are between:

The math signs calculated first in order are;

Given the expression, the resolution will be:

5 * ( 3 + 6 )² - 6²

5 * 9² - 6²

5 * 81 - 36

406 - 36

369

So, the value of this numeric expression is 369

The fractions that are between 12/13 and 19/20 are 13/14, 14/15, 15/16, 16/17, 17/18, and 18/19 total number of fractions is 6

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Fractions that are between 12/13 and 19/20 such that:

The numerator(N) is one less than the denominator(D).

N =  D - 1

N = (12, 19)

D = (13, 20)

D = 14, N = 13

D = 15, N = 14

D = 16, N = 15

D = 17, N = 16

D = 18, N = 17

D = 19, N = 18

The fractions that are between 12/13 and 19/20:

N/D = {13/14, 14/15, 15/16, 16/17, 17/18, 18/19}

Thus, the fractions that are between 12/13 and 19/20 are 13/14, 14/15, 15/16, 16/17, 17/18, and 18/19 total number of fractions is 6

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