70% - Rounded Answer
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
∣x−18∣=5 absolute value
Answer
x = 13 or x = 23
Step-by-step explanation:
|x-18| = 5 means there are two possibilities.
x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.
so you can write two equations and solve
first is x-18 = 5
x-18 + 18 = 5 + 18
x = 23
the second is x - 18 = -5
x - 18 + 18 = -5 + 18
x = 13
The two solutions are 13 and 23.
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
Which is the angle of depression from b to c
1.)<2
2.) <3
3.) <1
4.)<4
<2
Step-by-step explanation:
that the answer. because it below par
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
Help plz and thanks
Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
Find the missing probability of 3
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2xConsider ΔBEC
Since BE = EC, the opposite angles are congruent:
∠BCE ≅ ∠CBEThen:
m∠CBE = m∠BCE = xFind the angle BEC:
m∠BEC = 180° - (x + x) = 180° - 2xComparing the above we see that:
m∠BEC = m∠ACDprovedIf a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never
Answer:
Always
Step-by-step explanation:
Bisects means to divide in half
90/2 = 45
So the angles are each 45 degrees
What is 7 3/8 rounded to the nearest whole number?
Answer:
7
Step-by-step explanation:
4/8 = 1/2
3/8 is less than 1/2 so round down
7 3/8 rounds to 7
Answer:
7
Step-by-step explanation:
7 3/8 = 7.375
The closest whole number is 7
Answer from Gauthmath
PLZ HELP ME ASAP PLZZ
Answer:
helloo thereeee
we do such construction from a making bc arc then from b and c making x just when we need to make
Angle bisector
hope that helps ig :)
if g(x) is x-3 then what is g(3x)
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
im stuck between B and D please help
Answer:
maybe it's D ( not sure tho)
Function f is graphed. According to the graph, is f even, odd, or neither?
Answer:
C
Step-by-step explanation:
f is neither even nor odd
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((
HELP, round to the nearest penny.
$11,579.9998
Answer:
11,580.00
Step-by-step explanation:
So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00
Hope this helps!!! Have a good rest of your day! :)
Plzz help me with this question my class test is going on
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
find the ratio between 6 cm and 1.5m
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
Which steps can be used to solve
6
X
1 7
2 8
for x?
Answer:
2856
Step-by-step explanation:
This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer: 2.5 or "C"
Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D