Answers
Answer:
[tex]884^{-7}[/tex]
Step-by-step explanation:
Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.
[tex]a^x\cdot a^y=a^{x+y}[/tex]
["a" is the base, and "x" and "y" are the exponents]
Using this we find...
[tex]884^{58}\cdot884^{46}=884^{58+46}=884^{104}[/tex]
When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.
[tex]a^x\div a^y=a^{x-y}[/tex]
Using this we find...
[tex]\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}[/tex]
Answer:
[tex]884^{-7[/tex]
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Before we begin solving, let's review a few rules of exponents.
If an exponent is multiplying with another exponent and their bases are the same, you can simply add the exponents.If an exponent is dividing with another exponent and their bases are the same, you can simply subtract the exponents.≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
⇒ [tex]\dfrac{884^{97} }{884^{58} \times 884^{46} }[/tex]⇒ [tex]\dfrac{884^{97} }{884^{58 + 46}}[/tex] [#1]⇒ [tex]\dfrac{884^{97} }{884^{104}}[/tex]⇒ [tex]884^{97 - 104[/tex] [#2]⇒ [tex]\boxed{884^{-7}}[/tex]≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Related Questions
Consider functions f and g
Answers
Answer:
A
Step-by-step explanation:
[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]
[tex] g(x) = \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]
[tex] f(x) + g(x) = \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]
Answer: A
What is the perimeter of the square?
Answers
96cm
Step-by-step explanation:
From the question,
Area of rectangle(A) =Area of square(A)
or,32*18=Area of square
or, 576= l^2
or√576=l
or, 24cm
Now, we know,
Perimeter of the square=4l
=4*24cm
=96cm
Can anyone Please help me
Answers
Answer:
find the product of (4m-n) and (3m-2n)
What's the answer pls help
Answers
Answer:
x = 8
Step-by-step explanation:
Both these angles are equal because they are equal. So we make this equation:
8x + 36 = 5x + 60
-5x -5x
3x + 36 = 60
-36 -36
3x = 24
Divide both sides by 3:
x = 8
Find the measure of the missing angle in this triangle.
Answers
Answer:
b = 25°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
b + 110° + 45° = 180°
b + 155° = 180° ( subtract 155° from both sides )
b = 25°
What does x equal 5x+2=16
Answers
Answer:
X = 2.8
Step-by-step explanation:
5x+2=16
5x=16-2
5x=14
x=14÷5
x=2.8
Hope that helps!
5+9 = 14+2 = 16
estimation we are told 5 miles is 8 km.
ert 68 km to miles.
Answers
Simplify 3xy(5x +3 - 7y)
Answers
[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]
Number 8 please thanks!
Answers
[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]
Hope that helps!
Complete the equation so that it has infinitely many solutions.
12x−x+8+3x=
Answers
Answer:
= 14x +8
Step-by-step explanation:
For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.
The left side simplifies to ...
12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8
So, we can give the equation infinitely many solutions if the right side is 14x +8:
12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions
Write down an inequality to describe each of these solution sets.
Answers
Answer:
(a) x<=2
(b) x>-2
(c) x>=10
(d) x<-20
Which statements are true regarding the regular dodecagon? Check all that apply
Answers
Answer:
A dodecagon is a shape with 12 sides
Step-by-step explanation:
Decagon is 10 and do is 2 so 12
can you please help?
Answers
Answer:
$103.75
Step-by-step explanation:
Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)
8.30 hours x $12.50 per hour: $103.75
a dogs leash is tied to a pole while the owners go into a resturaunt to get the dog some water. if the leash is 7 ft long, and hte dog can walk 180 degrees in a semi circle, how many feet can he walk if he extends the leash as far as it can go.
Answers
Answer: 22 ft
Step-by-step explanation:
The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.
The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.
[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]
Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.
A computer company wants to determine if there is difference in the proportions of defective computer chips in a day's production from two different production plants A and B. A quality control specialist takes a random sample of 100 chips from the day's production from plant A, and determines that there are 12 defective chips. The specialist
then takes a random sample of 100 chips from the day's production from plant B, and determines that there are 10 defective chips. Based on the 90% confidence interval, (0.05, 0.09), is there convincing evidence of a difference in the true proportions of defective chips from a day's production between the two plants?
O There is convincing evidence because the sample proportions of defective chips for the two plants are different
O There is not convincing evidence because the interval contains 0
O There is convincing evidence because the difference in the two sample proportions is 0.02. Since this is not 0, there is a difference in the true proportions of defective chips for the two plants.
O There is not convincing evidence because the interval contains both negative and positive values.
Answers
Answer:
B. There is not convincing evidence because the interval contains 0.
Step-by-step explanation:
convert 0.2 m^ 3 , into c * m ^ 3
Answers
Step-by-step explanation:
[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]
0.2m^3 = 0.0000002 cm^3
Kaylee was out at a restaurant for dinner when the bill came. her dinner came to $24. after adding in a tip, before tax, she paid $28.08. find the percent tip.
Answers
Answer:
17%
Step-by-step explanation:
subtract/originial*100=lercent change
4.08/24=0.17*100=17
The answer is 17%
x/4+<2/7 I need help i'm stuck
Answers
Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.
Answers
please help me will give branlist
Answers
Answer:
A. 8(3 + 8x)
Step-by-step explanation:
Hope it helps you in your learning process
A vessel is in the shape of a right circular cone. The
radius of the top is 8 cm and the height is 40 cm.
Water is poured into the vessel at a rate of 20 cm /s.
Calculate the rate at which the water level is rising
when
(i) the water level is 12 cm from the vertex,
(ii) the vessel is one-quarter full.
Answers
The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.How can the water level rate be found?The volume of the vessel, v = π•r^2•h/3
[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]
h = 5•r
Therefore;
v = π•r^2•(h)/3 = π•(h/5)^2•h/3
v = π•h^3/75
By chain rule of differentiation, we have;
[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]
Which gives;
[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]
When the height is 12 cm from the vertex, we have;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled, we have;
v = π•h^3/75
π•(40)^3/(75×4) = π•h^3/75
10•(40)^2 = 16,000 = h^3
h = (16,000)^(1/3) = 25 (approx)
Which gives;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]
When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.
Learn more about rate of change here:
https://brainly.com/question/20066447
Please help!!!
Mr. Johnson's class will study one sea animal for the next week. Which group should Mr. Johnson survey to find the type of sea animal his students should study?
A: His students
B: Teachers at his school
C: Parents of his students
D: Workers at a sea animal park
Answers
Answer:
A He should ask his students to know what they prefer
Step-by-step explanation:
Please help me. I need the answer.
Answers
Answer:
Hello there! The answer is 3 seconds.
4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Answers
Answer:
1/16
Step-by-step explanation:
Given in comment:
5,4,3,2 = Spinner
Thus, there are 4 possible answer
Given:
If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Solve:
Knowing that there only One 5 and One 2 on the spinner.
Thus, in fraction form - 1/4 and 1/4
Probability land on 5 = 1/4
Probability land on 2 = 1/4
Because there are 4 possible solution and one of each is 5,4,3,2
Now, multiply then together:
1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}
Put Together:
1/16
Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16
~Lenvy~
Answer:
1/16
Step-by-step explanation:
so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2
I guess, they are like the six numbers on a die equally probable.
that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).
now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.
why ?
similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.
so, the probability of one particular set of 2 results is
1/4 × 1/4 = 1/16
in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.
The first two terms of an arithmetic sequence are 7 and 11. Which of the following is the value
of its 30th term
Answers
Answer:
123
Step-by-step explanation:
Add 4 enough times to 11 and you will get there.
how do i do
6w cubed - w
i am so confused
Answers
You can separate it to 6w*6w*6w so then 6*6*6=216 and w*w*w=w^3
To determine the number of rams in a conservation area, a researcher catches and marks 103 rams. Then the researcher releases them. Later, 89 rams are caught and it is found that 21 of them are tagged. About how many rams are in the conservation area?
There are about rams in the conservation area.
(Round your answer to the nearest whole number as needed.)
Answers
Answer:
19 the explanation is 19 46
what is the genaral term of this number pattern ? 45,41,37,33,29
Answers
Answer:
-4n + 49
Step-by-step explanation:
it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.
Answer:
aₙ = -4n + 49Step-by-step explanation:
45, 41, 37, 33, 29, ....
a₁ = 45
a₂ = 45 - 4 = 41
a₃ = 41 - 4 = 37
a₄ = 37 - 4 = 33
a₅ = 33 - 4 = 29
...
It's an arithmetic sequence.
a₁ = 45, d = -4
A general term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
Substitute:
aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49
Apply the distributive property to factor out the greatest common factor.
4+10=
Answers
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
Is (2,10) a solution to this system of equations?
y = 4x + 2
y = x + 8
Yes or no
Answers
Answer:
yes, it is
Step-by-step explanation:
10 = 4(2) + 2
10 = 8 +2
10 = 10
10 = 2 + 8
10 = 10
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 2
y = x + 8
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the second equation, for y, in the first equation:
y = 4x + 2
y = x + 8
x + 8 = 4x + 2
Next, subtract 4x from both sides to isolate x:
x + 8 = 4x + 2
-4x -4x
-3x + 8 = 2
Then, subtract 8 from both sides:
-3x + 8 = 2
- 8 - 8
-3x = -6
Now, divide both sides by -3:
-3x = -6
/-3 /-3
x = 2
Now, we find the value of y by substituting 2 for x:
y = 4x + 2
y = 4(2) + 2
y = 8 + 2
y = 10
(x, y) ==> (2, 10)
Therefore, yes (2,10) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!