Help help needed for composition of function

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:

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 :)

Answer:

log_{b} (5b) = 2.609

Given that:

log_{b} (3) = 1.099

log_{b} (5) = 1.609

Evaluating with that:

[tex]\sf log_b (5b) = log_b\left(5\right)+log_b\left(b\right)[/tex]

            [tex]= \sf 1.609 + 1[/tex]

             [tex]= \sf 2.609[/tex]

Rule Used:

[tex]\rm \log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)[/tex]

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:

a=6 it's even

Step-by-step explanation:

please mark me as brainlest

Answer:

A= 4

B= 3

i got it right.

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:

a² b² c² equals mc² and that is the answer

Answer:

the answers are B and F since √8 x √8 = √64 which simplifies to 8.

Answer:

33

Step-by-step explanation:

3² = 3.3 = 9 => 24 + 9 = 33

Answer:

Domain: (-∞, ∞)
Range: [-2, ∞)

Step-by-step explanation:

The domain of any parabola is (-∞, ∞)
The range of this parabola is [-2, ∞) because the vertex is at (-2, -2).

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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Answer: 7

Step-by-step explanation:

[tex]A \cap C[/tex] denotes the intersection of A and C, or in other words, how many elements are shared between them.

The number of elements is 2 + 5 = 7

Answer:

-21

Step-by-step explanation:

37 - 45 - 13 is translated

-8 - 13

-21

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:

0 and -6

(0,-6)

Step-by-step explanation:

Can't really explain, but this is a guess on the actual question.

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

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:

27 boxses

Step-by-step explanation:

calculations is shown in the picture

Answer:

x=4y+24/5

Step-by-step explanation:

add 4y

Divide by 5

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: a = -1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

For a function f(x) = y,

x represents the value ( x - coordinate ) at which the function has a value y.

[tex]\qquad \tt \rightarrow \: f(x) = a {x}^{2} + 2[/tex]

for point (-1 , 1) to satisfy the equation, we have to calculate the value of a

[tex]\qquad \tt \rightarrow \: f( - 1) = a( - 1) {}^{2} + 2[/tex]

[tex]\qquad \tt \rightarrow \: 1 = a + 2[/tex]

[tex]\qquad \tt \rightarrow \: a = 1 - 2[/tex]

[tex]\qquad \tt \rightarrow \: a = - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Substitute -1 into x

Substitute 1 into y

f(x)= a (-1) ^2+2=1

       a=-1

Answer:

A is correct yes

Step-by-step explanation:

ndnanndnqnjed

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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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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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:

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]

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:

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%

hope it helps you.please don't forget to give me a thanks

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

The numeral preceding and succeeding each of the following numerals.

Now, what happens when you add 1 or subtract 1 from 100 in the familiar base 10.

Adding adds 1 to the unit digit.

Subtracting 1 gives 99 because 9 is the largest digit in base 10.

So A. 100 base 8

The largest digit in base 8 is 7, so

..., 77, 100, 101,...

B. 10000 base 7

The largest digit in base 7 is 6, so

..., 6666, 10000, 10001, ...

Next what happens when you add 1 to 509 in base 10. 9 is the largest digit in base 9, so adding 1 makes the units digit 0, and you carry a 1 to the next digit to the left:

509 + 1 = 510.

C. 305 base 6

5 is the largest digit in base 6, so

..., 304, 305, 310, ...

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