Hurry Please! Which of the following shows the extraneous solution to the logarithmic equation?

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Answer:

16x - 5 = 15x

16x - 16x -5 = 15x - 16x

-5 = -x

-5 / -1 = -x / -1

x = 5

mAB = 5(5)

mAB = 25°

Step-by-step explanation:

1. set arc FA and arc CD equal to each other.

2. subtract 16x from both sides.

3. divide both sides by -1 to get x.

4. replace x by its value to solve for mAB.

Answer: 7 1/30

Step-by-step explanation:

Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:

2 1/2 + 3 1/5 + 1 1/3

The LCM of 2, 5 and 3 is 30.

= 2 15/30 + 3 6/30 + 1 10/30

= 6 31/30

= 7 1/30.

Answer:

c) 3

Step-by-step explanation:

Answer:

1 1/4 48's.

Step-by-step explanation:

5 * 12 = 60

60 / 48 = 1 12/48

= 1 1/4.

Answer:

1 48

Step-by-step explanation:

if 2 twelve is equal to 24 and 24+24= 48 then 4 12s would equal one 48 with 12 still remaining

Answer:

x=3

Step-by-step explanation:

Answer:

The answer would be 3.

Step-by-step explanation:

Answer:

Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Step-by-step explanation:

Given: A triangle

To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]

In ΔBDC,

[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]

From equations (i) and (ii),

[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Hence proved

Answer:

C

Step-by-step explanation:

I took the test

The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.

Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given is a graph of a function.

The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.

That is the graph does not pass through the point (0, c) for any c.

Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).

We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.

So here multiplicity will be even.

So the correct one is f(x) = (x - a)²(x - b)⁴.

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Answer:

The answer to this question is A, or -2 to -1.

Hope this helps.

Answer: A

Step-by-step explanation:

Answer:

88/1344

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Answer:

S = {2,4,6,8} P(2) = 3/20  P(4) = 3/10 P(6) = 3/10 P(8)=  1/4

Step-by-step explanation:

There are 30 draws

She got the tile numbered 2 3 times

P(2) = 3/20 = .15

She got the tile numbered 4 6 times

P(4) = 6/20 = 3/10 = .3

She got the tile numbered 6 6 times

P(6) = 6/20 = 3/10 = .3

She got the tile numbered 8 5 times

P(8) = 5/20 = 1/4 = .25

Answer:

First problem: 1/4 chance

Second problem: 1/6 chance of happening

Step-by-step explanation:

To find the probability we need to multiply the chance of each separate thing happening by each other in each example.

In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.

[tex]\frac{1}{2} *\frac{3}{6} = \frac{3}{12} =\frac{1}{4}[/tex]

So in the first example we have 1/4 chance of happening or 0.25

Same thing with the second example:

[tex]\frac{1}{2} *\frac{2}{6} = \frac{2}{12} =\frac{1}{6}[/tex]

Answer:

Option (2)

Step-by-step explanation:

Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

We further simplify this expression,

[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]

= [tex]\frac{6x-1}{3(3x-1)}[/tex]

= [tex]\frac{6x-1}{(9x-3)}[/tex]

Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.

[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.

Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Answer:

A: xy= 3

B: When x= 3, y = 1

E: The graph of this table would not be linear.

Step-by-step explanation:

Edge

Answer:

It would be $18 because you would divide 54 by 3 and get $18 per ticket

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

15 - |5|

The absolute value of 5 is 5

15 - 5

10

Answer:

10

Step-by-step explanation:

assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!

Answer:

-12a + 4b - 8c + 18

Step-by-step explanation:

To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.

-2(6a - 2b + 4c - 9) becomes:

-12a + 4b - 8c + 18

Answer:

use a app that is call photomath

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

Answer:

Step-by-step explanation:

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

Answer:

36,811 cubic feet.

Step-by-step explanation:

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26 so

Volume of the tank = 2/3 *  π 26^3

= 36811.09 feet^3.

The volume of the tank in cubic feet approximate  is 36,811 cubic feet.

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

We are given water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft.

Therefore,

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26

Therefore, Volume of the tank = 2/3 π 26^3

= 36811.09 feet^3.

Learn more about volume of a sphere here:

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Answer:

The slope is 1 or just x

Step-by-step explanation:

rise/run (rise over run) to find the slope

Answer:

arrested and imprisoned.

Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.

Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid  in which the non-white South African's were segregated.

Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.

Learn more about Apartheid: https://brainly.com/question/3811942

Answer:

169.65 for volume.

Step-by-step explanation:

Volume = πr2h

= π×32×6

= 54π

= 169.64600329385 (unit^3)

I Hope this helps!!!

Answer:

339.12 squared (for surface area)

Step-by-step explanation:

radius=6

area of the circles is, 6*6= 36 * 3.14= 113.04

there are 2 circles so we multiply that by 2 to get 226.08

now to find the perimeter of a circle it is the radius * pi, so that would be 6*3.14= 18.84 now we have a height of 6 so we multiply that by 6 and get 113.04 now add up all our numbers and get 339.12

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

Answer:

Its C On Edge Just Took The Quiz

Step-by-step

Answer:

c

Step-by-step explanation:

took quiz 100%

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n([tex]\frac{45}{100}[/tex]) = 54

→ 45n = 5400

→ n = 120

Answer:

number of first grader at Sierra elementary school = 120  

Step-by-step explanation:

The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .

Let

the number of 1st grader = a

45 % of a = female population

This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows

45% × a = 54

45/100 × a = 54

45a/100 = 54

cross multiply

45a = 5400

divide both sides by 45

a = 5400/45

a = 120

number of first grader = 120  

Answer:

25%

Step-by-step explanation:

[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]

Answer:

Mean is 50

Step-by-step explanation:

20 + 30 + 40 + 50 + 60 + 70 + 80 = 350

350 / 7 = 50

Answer:

50

Step-by-step explanation:

Mean means average number which sum of all numbers divided how many numbers we are investigating

We are investigating 7 numbers

The total sum of these numbers are:

20 + 30 + 40 +50+ 60+70+80= 350

Mean = 350/7= 50