The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.
Given that,
The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].
Used the formula of logarithmic functions that are,
[tex]log (m^n) = n log m[/tex]
And, [tex]log_a (a) = 1[/tex]
Now, simplify the given logarithmic functions by using the above formula,
[tex]log_9 ( \dfrac{1}{81} )[/tex]
[tex]log_9 ( 81 )^{-1}[/tex]
[tex]log_9 ( 9^2)^{-1}[/tex]
[tex]log_9 ( 9)^{2 \times -1}[/tex]
[tex]log_9 ( 9)^{-2}[/tex]
Apply the formula [tex]log (m^n) = n log m[/tex],
[tex]- 2 log _ 9 (9)[/tex]
Since, [tex]log_a (a) = 1[/tex]
Hence, it can be written as,
[tex]- 2 log _ 9 (9)[/tex]
[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]
Therefore, the solution is,
[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]
To learn more about logarithms visit:
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what is the height of a triangle if the area is 28 in2 and the base is 7
Answer:
it's 8 inches
The ratio of women to men working at a grocery store is 4 to 5. There are 16 women working at the store . What is the total number of people working at a grocery store?
Answer:
36 people
Step-by-step explanation:
The ratio of women to men working at a grocery store is 4 to 5.
The ratio =
Women : Men
4 : 5
The sum of the proportion is 4 + 5 = 9
There are 16 women working at the store .
Let us represent the total number of people working at a grocery store as x
Hence:
4/9 of x = 16 women
4/9 × x = 16
4x/9 = 16
Cross Multiply
4x = 16 × 9
x = 16 × 9/4
x = 36 people
The total number of people working in the grocery store is 36 people
find the percent of the area under the density curve where x is less than 3
Answer:
The area under the density curve is equal to 100 percent of all probabilities. As we usually use decimals in probabilities you can also say that the area is equal to 1 (because 100% as a decimal is
Answer: 100%
Step-by-step explanation:
got it right on Khan
if f(x)=-2x+17, then calculate f(2)
Answer:
f(2) = 13
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x) , that is
f(2) = - 2(2) + 17 = - 4 + 17 = 13
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
The weight of the sea water in the aquarium is 3827.119 lb
Step-by-step explanation:
We start by calculating the volume of the aquarium
Since it is a cuboid, the volume will be L * B * H
= 4.4 * 2.5 * 5.3 = 58.3 ft^3
Mathematically;
Mass = density * volume
The density of sea water is 63.93 lb/ft^3
Mass = 63,93 * 58.3 = 3,827.119 lb
Lance earned $27 for mowing 3 lawns. What is the rate earned per lawn mowed?
A 9 cm piece of cooper pipe cost 63 cent what is the unit price
Answer:
7 cents per centimeter
Step-by-step explanation:
Your science teacher tells you that the next test is worth $0 points and contains 19 problems. Multiple-choice
questions are worth 2 points each and short answer questions are worth 5 points. Find how many of each type of
question will show up on the test.
Answer:
The test had
30
multiple choice questions, and
8
word problems.
Step-by-step explanation:
A fair spinner has 10 equal sections.
A
A
B
B
C
A
A
Put a cross on the scale to show the probability of landing on the letter A.
Answer:
there would be a possibility
Step-by-step explanation:cuz ratio form would be A:B:C
(4:2:1)
BRACKETS IS WHET U NEED TO LOOK AT
Felipe has 3/4 acre of land to use for a vegetable garden. He separates the land into vegetable plots that are each 1/12 acre. How many vegetable plots does Felipe have? Explain how to use the number line to model this situation and find the answer.
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark
PLEASE GIVE BRAINLIEST!!
answer:
9 plots
explanation:
Felipe has 3/4 acres of land to use and she is dividing that into plots. Those plots are 1/12 of her acre so you divide 3/4 by 1/12
can some one help me
Answer:
children is 48 and adults is 8.25 and children is 90
Step-by-step explanation:
2x +12 - 8x - 7= -10x + 2 + 4x +3.
Answer:
r37grqigohw
Step-by-step explanation:
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please help, will mark brainliest
Answer:
The answer is B.
Step-by-step explanation:
Please give me brainliest i only need 2 more brainliest to get expert
Equalivent fraction for 5/6
Answer:
10/12 , 15/18 , 20/24
Step-by-step explanation:
HELP
If a certain cannon is fired from a height of 8.4 meters above the ground, at a certain angle, the height of the cannonball above the ground, h,
in meters, at time, t, in seconds, is found by the function h(t) = -4.91? + 30.5t + 8.4. Find the time it takes for the cannonball to strike the
ground.
Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:
[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}[/tex]
In this case, being a = -4.9, b =30.5 and c =8.4 you have:
[tex]\frac{-30.5+-\sqrt{30.5^{2} -4*(-4.9)*8.4} }{2*(-4.9)}[/tex]
Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then the time it takes for the cannonball to hit the ground is 6.49 seconds.
Whats the exspression equivalent to (-2x + 8.1y)
Answer:
b. 7x + 2.8y
Step-by-step explanation:
distribute the negative sign:
= -2x + 8.1 + -1(-9x + 5.3y)
= -2x + 8.1 + -1(-9x) + -1(5.3y)
= -2x + 8.1 +9x + -5.3y
combine like terms:
= (-2x + 9x) + (8.1 + -5.3y)
= 7x + 2.8y
What is 4x4x4x5x5 using index notation
Answer: 4^3, and 5^2. This is the answer.
Step-by-step explanation:
Un delfinariu are un bazin in forma de cilindru cilcular drept. Pentru a oferi mai multe reprezentati, bazinul este impartit in doua parti egale printr un perete dreptunghiular cu aria de 300 m patrati. Se stie ca raza bazei cilindrullui este de 15 m. Aflati inaltimea bazinului.
Answer:
Înălțimea bazinului este de 20 m
Step-by-step explanation:
Raza de bază a bazinului cilindric = lățimea peretelui dreptunghiular = 15 m
Suprafața peretelui dreptunghiular = lungime × lățime = 300 m²
300 m² = lungime × 15 m
lungime = 300 m² / 15m
lungime = 20 m
Lungimea peretelui dreptunghiular = înălțimea bazinului cilindric = 20 m
Prin urmare, înălțimea bazinului = 20 m.
Please help me out!
Answer:
A. [tex] \sqrt {38}[/tex]
Step-by-step explanation:
Since the given point lie between 6 and 7 and is close to 6.
Therefore, the given point represents the [tex] \sqrt {38}[/tex].
A tanker truck fills the gas station’s reservoir at the rate of 12 1/2 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Answer: 2.8 minutes
Step-by-step explanation:
If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.
35 ÷ 12.5 = 2.8 minutes
Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.
hope this helps!
Answer:
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
answer:
2.4
hours
Step-by-step explanation:
Consider the equation 3a+0.1n=123. If we solve this equation for n, which equation would result? A. 0.1n=123-3a B. N=123-3a-0.1 C.N=1,230-30a D. 3a-123 over 0.1 =n
Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
PLS HELP ME!!!!
I have the answer I just need to show the work
Find the measure of angle A.
Answer: 28 degrees
Answer:
32x+4+20+4+6x=180
38x+28=180
38x=152
x=4
4+6(4)
4+24
28
Step-by-step explanation:
please give brainliest!!
Step-by-step explanation:
(32x+4)+20+(4+6x)=180
38x+28=180
38x=152
(38x)/38 = (152)/38
x=4
plug into angle A:
4+6x
4+6(4)
28
Which expression is equivalent to (7^3)^−2?
Answer:
Step-by-step explanation:
We are missing the rest of the question.
However (7^3)^-2 would equal to 343^-2 which would equal to 1/117649 or 8.49985 * 10^-6.
If you break it down more:
7*7*7= 343 Take that to the -2 power is 1/117649 or 8.49985*10^-6
If none of these is part of your choice, please supply the choices and I can try to help some more.
Solve this equation for A:
A+ [ 11 17 -8 13 ] = [ 0 1 -2 3]
011
112 =
013
014
DONE
Answer:
a11= -11 a12=-16 a13=6 a14=-10Step-by-step explanation:
I answered this question.
I NEED HELP lol
The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
Group of answer choices
-20
20
-8
40
Answer:
Step-by-step explanation:
must gain 10 yards
they lost 24 yards
gained 4
-24 + 4 = -20
they lost 10 more
- 20 -10 = -30
x + -30 = 10
x = 10 + 30
x = 40 yards
Which statement correctly identifies the mistake Joe made? in step 5, Joe should have added 1 to both sides of the equation instead of dividing both sides of the equation by --1. In step 2. Joe should have multiplied the first equation by 2 instead of by 3. in step 4, Joe simplified 27 + (-20) as 7 instead of simplifying to -7. In step 3, Joe multiplied the term -2y by 2 instead of by-2.
Answer:
This question is incomplete as it lacks the actual question. The question describes how Joe solved a system of equations step-by-step using elimination method. The steps used by Joe are as follows:
1. The equations given are: 2x + y = 9 and 3x - 2y = 10.
2. Multiply the first equation by 3 to get 6x + 3y = 27
3. Multiply the second equation by -2 to get -6x - 4y = -20
4. Add the equations to get -y = 7
5. Divide both sides of the equation by -1 to get y = -7
The statement that correctly identifies the mistake Joe made is: In step 3, Joe multiplied the term -2y by 2 instead of by-2.
Step-by-step explanation:
Elimination method of solving a simultaneous equation in Mathematics involves removing one variable in order to solve another variable. In this case of equations:
2x + y = 9
3x - 2y = 10
Joe eliminates the x variable in order to solve for the y variable first. To do this;
- In step 2, he correctly multiplies the first equation by 3 to get 6x + 3y = 27
- In step 3, he multiplies the second equation by -2 to INCORRECTLY get -6x - 4y = -20
Joe made a mistake in this step 3 because he multiplied -2y in the original equation (3x - 2y = 10) by 2 and not -2. He should have gotten -6x + 4y = -20 if he multiplied by (-2). That is (-2 × -2y) to give +4y.
Yoko, Bob, and Chang have a total of $120 in their wallets. Bob has $10 less than Yoko. Chang has 3 times what Bob has. How much do they have in their wallets?
answer soon!!!!!!!!!!!!!!!!!!
Expressions that are used so much that people get tired of hearing
them are called:
similes
metaphors
cliches
idioms
Answer:
cliches idioms
Step-by-step explanation:
What is the solution to the system of equations graphed below?
Answer:
a
Step-by-step explanation:
the two lines intercept at 1,-2
Answer: it is b(4,2)
Step-by-step explanation: nice