Answer:
4.5×10¹¹
Answer:
[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]
i) use the commutative property to rearrange the terms: a+b = b+a
[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]
ii) multiply the number in the 1st bracket
[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]
iii) multiply the 2nd bracket by adding their exponents
[tex]45 \times 10 {}^{3 + 7} [/tex]
[tex]45 \times 10 {}^{10} [/tex]
iv) write the answer in standard form
[tex]4.5 \times 10 {}^{10 + 1} [/tex]
[tex]4.5 \times {10}^{11} [/tex]
The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].
Equation in standard form:Since
The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]
Now here we use the commutative property
So,
[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]
Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.
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what is the probability of drawing a 9 or diamond from a standard deck of cards?
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.
In all we get:
13+4 - 1/52 =
≈ 16/52
=4/13
Answer: 0.3077
Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13
In a standard deck of cards, we have:
[tex]n = 52[/tex] --- There are 52 cards in total
[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4
[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds
[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9
The probability of drawing a 9 or diamond is:
[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]
So, we have:
[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]
This gives:
[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]
Take LCM
[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]
[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]
Simplify
[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]
Hence, the probability of drawing a 9 or diamond is: 4/13
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Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam
started to clean the pool by himself and worked for an hour. Then Glenn joined him, and the finished
cleaning the pool. How long did it take them to finish cleaning the pool?
Answer:
23/12 hours or 1.9167 hours
Step-by-step explanation:
We are told that Sam can clean the pool in 5 hours. This implies 1:5
Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7
Since it's the same pool, let's generate a workrate formula.
Thus;
(1/5)x + (1/7)x = 1
Where x is the amount of time used by both of them to clean 1 pool
Simplifying it, we multiply each term by 35 to get;
7x + 5x = 35
12x = 35
x = 35/12
We are now told that One day Sam
started to clean the pool by himself and worked for an hour.
Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours
Thus, time they both used to finish cleaning the pool is 23/12 hours
someone help me please i need this fast
Answer:
B, A vertical translation of 2 units.
Step-by-step explanation:
Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Answer:
$192
Step-by-step explanation:
That's all I
got
Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
Susie wants to buy 5 slices of pizza and a liter of soda that costs $5 for her and her friends. How much money does Susie need?
In the diagram, line A is parallel to line B. Which angles are congruent to angle 1?
(20 Points)
Select All that apply
angle 2
angle 3
angle 4
angle
angle 6
angle 7
angle 8
Answer:
angle 8
Step-by-step explanation:
Follow Me Please
Find all real values of x that satisfy the equation x^2 - 7x = 98.
Answer: x=14,-7
Step-by-step explanation:
how do you work out the percentage increase
Which number represents 50% of 74?
35
37
38
39
Answer: 37!!!
Step-by-step explanation:
1. 50% equals .5 in decimal form.
When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.
2. The word of means multiply so we multiply .5 by 74.
3. We get 37!
hope this helped, brainliest plsss :))))
I was the first one!
Given g[x]=4-2[3-x] , what is the value of g[1]
Answer:
g(1)=0
Step-by-step explanation:
g(1)=4-2(3-1)
g(1)=4-2(2)
g(1)=4-4
g(1)=0
is 5(2−3x) ÷ 6−x2/9 a...
a. coefficient
b.cube
c.factor
d.quotient
Answer:
D, a quotient.
Step-by-step explanation:
The sign ÷ indicates a quotient.
Answer:
D.
Step-by-step explanation:
You are dividing the two numbers which gives you a quotient
Which range contains the value of sqrt(14+7+23)
A. Between 6.6 and 6.8
B. Between 11.1 and 11.3
C. Between 21.9 and 22.1
D. Between 33.7 and 33.9
Answer:
the answer to this question is c
Question 8
Calculate the difference (4x2 + x - 5) – (5x2 - 1).
Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.
He could get 25 heads out of the 50 times but the percentage of happening that is very narrow.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."
To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:
The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.
Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.
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If AB = 19, BC = 16, and m
Gold, jewelry, antique furniture, and other belongings are known as what?
Purchasing power
Needs
Assets
Wants
I belive it is assets
Help please ill mark you brainliest if right :)
NEED HELP ASAP PLEASE!!!!!!!!
Step-by-step explanation:
PQR = PRQ = 2x ° ( base angle of an isosceles are equal ) .
therefore
PQR + PRQ + QPR = 180° ( sum of angles in a triangle )
2x + 2x + 40 = 180
4x + 40 = 180
subtract 40 from both sides
4x = 140
divide through by 4
x = 35°
What are the coordinates of A after ABC is reflected over the y axis
Answer:
(-8;7) ---> (8;7)
x changes sign. y stays with the same sign
............
3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this week?
Answer:
$420.25
Step-by-step explanation:
Total earnings of the week
[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
in a box there are three types of chocolates
there are 6 plain chocs
8 milk chocs
10 white chocs
ben takes at random a choc from the box
a) what is the probability that ben takes a plain choc ?
Answer:
25% , 6/24 , .25
Step-by-step explanation:
The total number of chocolates in the box are 24 and the number of plain chocolates is 6. 6/24 is .25 in decimal and 25% in percentage
What is the function??
p-g=0
Which of these is equal to q?
A -p
B 0
C p
D 1/p
Answer:
C. p
Step-by-step explanation:
Given the expression p - q = 0
We are to find the value of q
Substract p from both sides;
p - q - p = 0 - p
-q = - p
Multiply both sides by -1
-(-q) = -(-p)
q = p
Hence the correct solution is q = p
A two-word phrase used to show division in a problem that starts with oc
Answer:
Out of
Step-by-step explanation:
A two-word phrase used to show division in a word problem.
Out of is a two-word phrase which is used to show division in a word problem.
Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
Please hurry, best answer gets brainly
is it
45cm²
40cm²
36 cm²
32cm²
Answer:40
Step-by-step explanation:
Answer:
the answer is 40cm^2
Step-by-step explanation:
i multiply them
4.83 x 8.18 = 39.5094
the estimate is 40