Describe any patterns/relationships that you notice between the Powers of 10, the expressions, what they equal (standard form), or amount of zeros in the product. Try to use math vocabulary in your explanation below. You may use examples to support your response.
Answer:
The powers of 10 are things of the form:
10^n.
Where we assume that n is an integer number.
if is equal or larger than 0, then:
We add n zeros at the right of the 1.
so let's write some examples.
10^0 = 1 (we do not add any zero)
10^1 = 10 (we add one zero)
10^2 = 100 (we add two zeros)
...
Now, remember that x^-y = 1/x^y, then:
If n is smaller than zero, then we add n zeros at the left of the 1.
10^-1 = 1/10 = 0.1 (one zero at the left)
10^-2 = 1/100 = 0.01 (two zeros at the left).
Those relations will be useful to always know the exact dimensions of the powers of zero.
Now, we can give a more complete description knowing that:
x^a*x^b = x^(a + b)
Then if we have:
10^3*10^4 = 100*1,000 (and this may be hard to do)
But we can use the above relation:
10^3*10^4 = 10^(3 + 4) = 10^7
Then we know that we must add 7 zeros at the right of the 1.
And this will work for any integer powers of 10.
Please I BEG you to help...
Answer:
36x^8
Step-by-step explanation:
You distribute the exponent (2) to the the coefficient (6) and the other exponent (4). When you distribute 2 to 6 you are squaring the 6.
6^2 = 6•6 = 36
Because of the power rule, you just multiply both the exponents together.
4•2 = 8
so when you put it together it looks like this: 36x^8
Classify angle H in the figure as right, straight, acute, or obtuse. For right angles and straight angles, indicate the
number of degrees in each angle,
Choose the correct classification for angle H
A. Acute
B.Obtuse
C.Straight
D. Right
It C sry for the mistake
Khalid purchased 4 items at the dollar store. He was surprised that the total did not equal $4.00. Brian did not realize that the store required 5 1/2% sales tax. How much was Brian’s total bill including sales tax?
Answer:
B. $4.22
Step-by-step explanation:
51/2 % can be put into decimal form as 0.055
To find what 5 1/2% of $4 is you simply need to multiply 4 by 0.055
which makes $0.22
add that to $4 and you have your answer
Find the distance between the two points (-1,0) (-8.4)
Answer:
d = 8.062258
Step-by-step explanation:
=(−8−(−1))2+(4−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−7)2+(4)2‾‾‾‾‾‾‾‾‾‾‾‾√
=49+16‾‾‾‾‾‾‾√
=6‾√5
=8.062258
Find the slope and the y intercept for the equation below 2x+y=7
Answer:
Slope: -2
Y intercept: (0,7)
Step-by-step explanation:
How do I solve this?? Please help! Find the measure of the indicated angle.
Answer:
This is a tough one, I see why you are confused. The answer would be 50
Step-by-step explanation:
I used process of elimination and working backwards
First I took the first option (50) and added 10. Then divided it by 5 to isolate the X value. I plugged the X value into the (11x+3) and got 135. The missing angle is 45. 50+45+85=180
Hope this helped!
A team of runners is needed to run a 1/3-mile relay race. If each runner must run 1/9 mile, how many runners will be needed?
Answer:
3 Runners
Step-by-step explanation:
please help with this question
Answer:
(1/3)x+ x-20+ x-10+40= 360
Step-by-step explanation:
(1/3)x+ x-20+ x-10+40= 360
x+3x-60+3x-30+120=360*3
7x+30= 1080
7x= 1050
x= 150
The sum of the angles = 360.
Add the 4 angles together so they equal 360:
1/3x + x-20 + x-10 + 40 = 360
Combine like terms:
2 1/3x - 30 + 40 = 360
Continue combining like terms:
2 1/3x +10 = 360
Subtract 10 from both sides:
2 1/3x = 350
Divide both sides by 2 1/3:
x = 150
Edison
Edison's first light bulb stayed
lit for 40 hours. Today a
typical light bulb can stay lit
for 1,000 hours. How many of
Edison's light bulbs would burn
out before one of today's light
bulbs burns out?
Answer:
25 light bulbs
Step-by-step explanation:
You just divide 1000 by 40
Mr. Drew grows green pepper plants in planters.
The graph shows the relationship between the number of planters and the number of pepper plants. How many pepper plants are in 3 planters?
A graph shows green pepper plants by planters. A line starts at (0, 0) and passes through (4, 12).
18
12
9
3
Answer:
Option (3)
Step-by-step explanation:
From the graph attached,
For a point (x, y),
x-coordinate shows the planters and y-coordinate show the number of green pepper plants in the planters.
If input value (x-value) for the line is 3,
Output value (y-value) from the graph will be, y = 9.
Therefore, there are 9 green pepper plants in 3 planters.
Therefore, Option (3) is the correct option.
Stacey jogs every third day and swims every fourth day. If she jogs and swims on Monday, what is the next day of the week she will end up jogging and swimming.
Answer:
Saturday
Step-by-step explanation:
First we have to find the LCM of 3 and 4
It is 12, so we know that she will jog and swim every 12 days
This time was Monday, so 12 days after Monday will be the day she both jog and swims.
12 days after Monday is Saturday, so the next time she jogs and swims is Saturday.
Hope this helped
Sorry if it's wrong
:)
What is the next number in the sequence: -2, 4, -8, 16, -32, , ...
Answer:
64
Step-by-step explanation:
This is an Geometric sequence
Common ratio = 2nd term ÷ 1st term = 4 ÷ (-2) = -2
To get the next term multiply the previous term by (-2)
The next term (6th term) = -32 * (-2) = 64
An equation for a line that is perpendicular to the line given by y=-2 and passes through the point (5,6)
Answer:
y - 6 = 1/2 (x - 5)
Step-by-step explanation:
Point slope equation: y-y₁ = m(x-x₁)
replace
x₁ = 5,
y₁ = 6,
m = 1/2 (perpendicular means opposite reciprocal)
A rectangle has a height of 3c^43c
4
3, c, start superscript, 4, end superscript and a width of c^2-4c+3c
2
−4c+3c, squared, minus, 4, c, plus, 3.
Answer:
Step-by-step explanation:
The area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].
What is area of rectangle?The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension.
Area of a Rectangle. A = l × b.
Given:
height = 3[tex]c^{4}[/tex]
width = c² - 4c +3
So, Area of rectangle
=length * width
= 3[tex]c^{4}[/tex] * (c² - 4c +3)
=3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex]
Hence, the area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].
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Your question is incomplete, probably the complete question/missing part is:
A rectangle has a height of 3[tex]c^{4}[/tex] and a width of c² - 4c +3. Express the area of the entire rectangle.
Probability a bag of miniature candy’s contain 15 crunch bars 14 Hershey’s chocolate bars 10 Mr.Goodbars 12 Hershey’s cookies and cream bars. What is the probability of randomly choosing each of them ?
15:51 for Crunch bars
14:51 for Hershey's
10:51 for Mr. Goodbars
12:51 for Cookies and Cream
There are 51 candies in total. We got that by adding all of the candies together. 15 + 14 + 10 + 12 = 51. The probability can be written as a ratio between the different types of candy and the whole number.
The probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability can be written as,
P(Crunch bars) = Number of Crunch bars/ Total number of choclates= 15/51
P(Hershey's Chocolate) = 14/51
P(Mr. Goodbars) = 10/51
P(Hershey’s cookies and cream bars) = 12/51
Hence, the probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.
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HELP BRAINLEST IF ANSWER PLZ Click LINK TO SEE QUESTION!!!!
https://brainly.com/question/18621006
Answer:
1. theres no link attached
2. lol just write it here wyd
3. uhm ur not tricking me-
Step-by-step explanation:
The given line segment has a midpoint at (3,1). What is the equation in the slope intercept form of the perpendicular bisected of the given line segment
Answer:
The ANswer Is A
Step-by-step explanation:
I took The quiz
Sarah is training for a bike race. She rides her bike 5 3/4miles in 1/3hour. What is Sarah’s rate in miles per hour? Express your answer as a mixed number.
Answer:
3 31/76
Step-by-step explanation:
5 3/4 multiplied by 3 = 3 31/76
hope this helps
Match the graph with the correct equation
A: Y= X - 3
B: Y= X + 3
From: SLOPE-INTERCEPT FORM: PART 1
try to help at least
Answer:
Graph 1: Lang
Graph 2: Sharayah
Graph 3: Caleb
Graph 4: Tierra
Step-by-step explanation:
Graph 1 y-intercept: 2
Graph 2 y-intercept: -2
Graph 3 y-intercept: -3
Graph 4 y-intercept: 3
Graph 1: Positive
Graph 2: Negative
Graph 3: Positive
Graph 4: Negative
Line J M is the perpendicular bisector of LK.
Line J M intersects line L K at point N and forms a right angle.
Which segments are congruent?
JN and LN
JN and NM
LN and NK
NK and NM
Answer:
The congruent segments are LN and NK ⇒ C
Step-by-step explanation:
If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point
∵ Line JM is the perpendicular bisector of line LK
→ That means JM intersect LK at the midpoint of LK
∵ Line JM intersects line LK at point N
∴ Point N is the midpoint of LK
∵ N divides LK into two segments LN and NK
∵ N is the midpoint of LK
→ That means LN equals NK
∴ LN = NK
∴ The congruent segments are LN and NK
Answer:
it C on edge
Step-by-step explanation:
plz help! which one is it
Answer:
3rd
Step-by-step explanation:
hope it helps :)
during a big storm, 29 inches of snow fell in 8 hours. find the rate
Answer:
36.25
Step-by-step explanation:
If you want to find the rate to anything, divide the measurements by the time.
29/8= 36.25
for every 2 cara you wash your friend washes 5 cars if you wash 6 cars how many cars does your friend wash
Answer:
15 cars
Step-by-step explanation:
2 = 5 so 4 = 10 and 6 = 15
b)
1 + sin^4A ÷cos^4A = 1 + 2tan^2A.sec^2A
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x
Consider the left side
[tex]\frac{1+sin^4A}{cos^4A}[/tex]
= [tex]\frac{1}{cos^4A}[/tex] + [tex]\frac{sin^4A}{cos^4A}[/tex]
= [tex]sec^{4}[/tex] A + [tex]tan^{4}[/tex] A
= (tan²A + 1)² + [tex]tan^{4}[/tex] A
= [tex]tan^{4}[/tex] A + 2tan²A + 1 + [tex]tan^{4}[/tex] A
= 1 + 2tan²A + 2[tex]tan^{4}[/tex] A ← factor out 2tan²A
= 1 + 2tan²A(1 + tan²A)
= 1 + 2tan²A sec²A
= right side , thus verified
WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!
IF YOU DON'T ANSWER FIRST YOU DON'T GET BRAINLIEST
Answer:
38 cm
Step-by-step explanation:
it makes the most sense
Answer: Id have to say 40mm
help pls i’m just guessing i don’t understand
Answer:
70
Step-by-step explanation:
Since the angle 2 is alternate angle to angle 6,they are both equal. So, the angle 6 is 70.
7,5 move 4 units left and 1 unit down
Answer:
(3,4)
Step-by-step explanation:
Answer:
4,3
Step-by-step explanation:
The ratio of pencils to pens is 3 to 5. There are 21 pencils in the classroom. How
many total pens and pencils are in the classroom?
Answer:
56 pencils and pens
Step-by-step explanation:
3:5 is the ratio, and then put that into a fraction and then make a proportion
3/5=21/x
eCross multiply and divide so do 21*5 divided by 3. This gives us an answer of 35. Now we know we have 35 pens. 35+21, adding the pen and pencil, is 56. You can always also look for relationships, so if you could see that multiplying 7 gives you the answer, than do that to the 5, and then add it together.