Answers
Answer:
Refer to below!
Step-by-step explanation (a):
[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]
[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]
Step-by-step explanation (b):
[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow{10^{9} }[/tex]
Step-by-step explanation (c):
[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{2} }[/tex]
Step-by-step explanation (d):
[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]
[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]
[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{5} }[/tex]
Step-by-step explanation (e):
[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]
[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]
[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]
[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow {10^{4}[/tex]
Related Questions
Write the formula of the function f(x) whose graph is shown.
Answers
Answer:
[tex]f(x)=\dfrac{1}{x+4}[/tex]
Step-by-step explanation:
Asymptote: a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.
Therefore, the function is undefined at [tex]x=-4[/tex]
For a rational function to be undefined, the denominator must equal zero at that point. Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].
Therefore, option D is the correct solution, since:
[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]
PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is
Answers
Answer:
y = -x - 4
Step-by-step explanation:
m = (-5-0)/(1+4) = -5/5 = -1
b = (0, -4)
y = mx + b
y = -x - 4
Answer:
y = -x - 4
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
The b is the y-intercept. That is where the line crosses the y-axis. This line crosses the y-axis at -4.
You could calculate the slope, but with a graph, you can SEE the slope without doing any calculation. Find a point on the line, any point. To get to the next point, you go DOWN1 and OVER1, (down1, over1, down1, over1)
This is -1/1. The slope is -1. Fill that in for m.
Leave the x and y as-is in
y = mx + b
fill in -1 for m and -4 for b.
y = -x - 4
If your teacher/prof is expecting to see a calc for slope. Find two points on the line. Subtract y-y and put that on top. Subtract x-x and put that on the bottom. Simplify.
Given points:
(1,-5) and (-4,0)
-5 - 0 is -5, put on top.
1 - -4 is 5, put underneath. You get -5/5, which is -1. Slope is -1.
need help with geometry (number 21)
Answers
Answer: D
Step-by-step explanation:
Adjacent sides of a rectangle are perpendicular. This means that the measure of angle HEF is 90 degrees.
How do you add 2 1/4 plus 3/4
Answers
Answer:
Step-by-step explanation: first change 2 1/4 to a improper fraction
you are going to have 9/4 next add 9/4 plus 3/4 which will be equal to12/4 which is the same as 3
4
Which equation does not have a solution?
A. -3d + 7 = -9
B. 8d + 7 = -4(-2d - 4)
C. 54+ 15 = 15
D. 2(d' + 6) = -2d - 12
Answers
Answer:
Option BStep-by-step explanation:
A.)
➝ -3d + 7 = -9
➝ -3d = -7 - 9
➝ -3d = -16
➝ d = -16/-3
➝ d = 16/3
Solution is d = 16/3B.)
➝ 8d + 7 = -4(-2d - 4)
➝ 8d + 7 = 8d + 16
➝ 8d - 8d = 16 - 7
➝ 0 = 9
It has no solution.C.)
➝ 5d + 15 = 15
➝ 5d = 15 - 15
➝ 5d = 0
➝ d = 5/0
➝ d = 0
Solution is d = 0D.)
➝ 2(d + 6) = -2d - 12
➝ 2d + 12 = -2d -12
➝ 2d + 2d = -12 -12
➝ 4d = 24
➝ d = 24/4
➝ d = 6
Solution is d = 6Hence,
(Option B) 8d + 7 = -4(-2d - 4) has no solution.For the polynomial f(X)=2x^3-9x^2+11x-20
As
X -> -♾️,f(X) -> ♾️
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
I'm assuming its because x isn't negative infinity because the leading coefficient is positive
What is the axis of symmetry for the function f(x)=7−4x+x2?
Answers
Answer:
The axis of symmetry is x=2
Step-by-step explanation:
7. Given: AD || BC and AD=BC.
B
Prove: AB || DC
시
Answers
Answer:
Step-by-step explanation:
A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?
Answers
Answer:
The answer would be two feet.
Step-by-step explanation:
Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)
If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set all digits, find the probability that one chosen is not a multiple of 2. [0,1,2,3,4,5,6,7,8]
Answers
The probability of choosing a number that is not a multiple of 2 is P = 0.44
How to find the probability?We need to count the number of options for each digit.
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.The total number of combinations is the product between the numbers of options:
C = 8*9*9 = 648
If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 4 options {1, 3, 5, 7}.C = 8*9*4 = 288
Then the probability of selecting a 3 digit number that is not a multiple of 2 is:
P = 288/648 = 0.44
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
how many 250 g of sugarcane can be obtained from 3.25 kg
Answers
=13
I need help ASAP! I took a screenshot of the question and linked it.
Answers
Answer:
18. $5890
19. Mitsubishi Mirage
Step-by-step explanation:
The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...
y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate
__
18.The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...
y = $15000·0.875^7 ≈ $5890.44
When you turn 25, the car will be worth about $5890.
__
19.We found three cars with a price under $15,000:
Nissan VersaChevrolet SparkMitsubishi MirageOf these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.
(Your curriculum may offer different choices. We cannot tell.)
Perhaps you got a Mitsubishi Mirage.
Why is ten times ten?
Answers
Answer:
100
Step-by-step explanation:
10 · 10 = 100
Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.
So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.
Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)
Is this correct?
(Brainliest.)
Answers
Answer:
I think it is since i already passed that i think that is correct , well good job !!
Step-by-step explanation:
Simplify the expression. (–8.6)0
A)–1
B)–8.6
C)1
D)0
Answers
Answer: D
Explanation: Anything times 0 is 0.
Which of the following statements is true?
The meter is a unit of volume in the U.S. customary system.
The foot is a unit of length in the metric system.
The gram is a unit of mass in the metric system.
The liter is a unit of volume in the U. S. customary system.
Answers
Answer:
Step-by-step explanation: the meter is a unit of value in the US customary system
Answer: The gram is a unit of mass in the metric system
In a particular city, 21 in 1.5 million people have been struck by lightning. What is the experimental probability of being struck by lightning in this city?
Answers
21/(1.5 million) = 0.0014%
Which of the following rational functions is graphed below?
Answers
Step-by-step explanation:
There is a vertical asymptote x=3 and x=-1 so our rational function will contain
(x-3)(x+1).
Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.
we have a zero at approximately, at 1 so our numerator will include
[tex] \frac{x - 1}[/tex]
So our rational function is
[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]
There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.
We have given a zero at approximately, 1 so our numerator will include (x-1).
So our rational function is
[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]
Learn more about horizontal asymptotes here:
https://brainly.com/question/2513623
#SPJ5
can you help me solve this?
Answers
Answer:
456*567=4890998
46766-6755=566888
Answer:
FGM and reproductive health
ans this please i have alot this to do help me
Answers
Answer:
3.1
Step-by-step explanation:
ok so, 3.14 rounded to the nearest tenth is 3.1
also, keep this in mind
if it is 5 and up it will be able to round up but if it is 4 round it down
An equilateral triangle has a perimeter of 90 inches. Find the area of the equilateral triangle, I simplest form.
Answers
Answer:
389.7 square inches
Step-by-step explanation:
equilateral triangle = each side has the same lenght
90 inches / 3 = 30 inches each side
----------------------------------------------------------
Pythagoras
30^2 = 15^2 + x^2
900 - 225 = x^2
v 675 = x
25.98 = x
x = height
----------------------------------------------------------
Area = BxH/2
B = 30 inches
H = 25.98
(30 x 25.98) /2 = 389.7 square inches
Answer:
390 in²
Step-by-step explanation:
Length of the sides of the triangle = 90/3 = 30 in
area of a triangle = (base × height)/2
height of an equilateral triangle with sides of length x [tex]=\frac{\sqrt{3} }{2}x[/tex]
Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]
Conclusion:
area of the triangle = (30 × 26)/2 = 390 in²
Which of the following is an equivalent expression to the expression a^1/3 divided by a^1/4?
A. 1/a^12
B. 7/a^12
C. 1/a^12
D. 1/a^7/12
Answers
Answer:
C. 1/a¹²
Step-by-step explanation:
Formula
[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]Applying that here :
[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²Answer:
a^1/12 or choice A
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]
Law of Exponent (Division Property):
[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]
Therefore:
[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]
Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:
[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]
Therefore, the solution is a^1/12 or choice A
What is the LCD of -1 2/8 and 2 3/4?
Answers
Answer:
The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8
Suppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places.
Answers
Please help me yall… my math is due tommorrow!
Answers
Answer:
Step-by-step explanation:
Remark
I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.
Givens
Total number of movie goers = 3880
Total number that are between 12 and 24 = 1180
Solution
Probability of a random person being drawn from 1180
people between 12 and 24 = Those between 12 and 24 = 1180
Total Number = 3880
P(12 - 24) = 1180 / 3880
P(12 -24) = 0.3041
Remember, that's not what you want. You want everyone else
P(not(12-24)) = 1 - 0.3041
Answer 0.6959
Amy bought 14 pounds of rice for $6. How many pounds of rice did she get per dollar?
Answers
Answer:
2.3?
Step-by-step explanation:
i just divided it 14 ÷ 6
how do i multiply 30 by -20
Answers
Multiplication of a positive number and negative number
⇒ is like any other multiplication
30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600
Hope that helped!
distance between these points
X (-3, -4 ) Y (5, 5)
Answers
Answer:
12.0
Step-by-step explanation:
The distance betwen the two points is the slope/gradient of that line.Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]x = a, y = bx = 5 - (-4) = 5 + 4 = 9y = 5 - (-3) = 5 + 3 = 8[tex]c^{2} = 8^{2} + 9^{2}[/tex]
= 64 + 81
= 145
[tex]\sqrt{c^{2} } = \sqrt{145}[/tex]
Therefore,
c = 12.0 (3 s.f.)
Find fRound the answer to the nearest tenth.
A. 54.5°
B. 57.2°
C. 90.0°
D. 109.2°
Answers
A triangle equals 180° and angle F is an obtuse angle therefore it can’t be 90° or lower.
180° - 109.2° = 70.8°
The smaller angles would each equal 35.4°
Answer:
109.2 degrees
Step-by-step explanation:
Use the cos law to find angle F
3.1^2 = 2^2 + 1.8^2 - 2 (2)(1.8) cos F
shows cos f = -.329
arc cos( - .329) = angle F =109.2 degrees
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answers
68 square inches
=============================================
Explanation:
Refer to the diagram below.
I'll make the yellow sheet of paper to be 8 by 10, where the horizontal part is 8 and the vertical is 10. The overlapped region has its horizontal part as 8 as well.
The other piece of paper is 8.5 inches by 11 inches. The vertical part of the overlapped region is 8.5 inches.
The overlapped region is a 8.5 inch by 8 inch rectangle with area 8.5*8 = 68 square inches. This makes choice D the final answer.