The scientific notation of (4.3 × 10⁻²)(5.12 × 10⁻¹⁰) on simplifying is 2.2016 × 10⁻¹¹ which is option (A).
Scientific notation could be a thanks to write terribly massive and really little numbers. There square measure 2 elements to scientific notation, a constant between one however but ten and also the power of 10. The constant features a whole half (left of the decimal point) and also the decimal half (right of the decimal point) referred to as the fixed-point part.It is given that (4.3 × 10⁻²)(5.12 × 10⁻¹⁰) .
On multiplying 4.3 by 5.12 , we get
4.3 × 5.12 = 22.016
Using exponent law for 10⁻² and 10⁻¹⁰ , we get
10⁻² × 10⁻¹⁰ = 10⁻²⁻¹⁰
= 10⁻¹²
Hence as a whole it is written as 22.016 × 10⁻¹².
In scientific notation , it is written as 2.2016 × 10⁻¹¹ .
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Nina is making 4 pans of fudge to serve
after a music recital. For each pan, she needs 2/3
cup of condensed milk.
Draw a diagram to show two different ways that Nina could
measure the condensed milk needed for 4 pans of fudge.
The total number of condensed milk required is 8/3=2 2/3.
The total number of pan is 4
The condensed milk required for each pan is 2/3
The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.
The total number of condensed milk is 4. 2/3= 8/3
For first pan let the measuring cup is 1/4 then the condensed milk is measured as
1/4 . 2/3 =1/6
For second pan let the measuring cup is 1/2 , then the condensed milk is measured as
1/2 . 2/3 = 1/3
Hence the total number of condensed milk required is 2 2/3.
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A coin marked “0” and “1” is tossed an infinite number of times, the probability of 1 in any toss being equal to p 2 (0, 1). The resulting sequence (outcome) ! is parsed into consecutive blocks of increasing length: 2, 4, 6,..., etc. What is the likelihood that, in infinitely many of these blocks, the first half of the terms are either all 0’s or all 1’s?
It is very less possibilities that the first half of the terms are either all 0's or all 1's.
According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2
And the getting favorable outcomes that is 0 or 1: 1
Therefore, the probability for the given possibility is written as:
P(A) = n(A)/n(S) = 1/2
Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.
What is probability?
Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.
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TRANSLATE INTO ALGEBRAIC EXPRESSION.
3 less than 4 times the square of a number
Number= -2
The parents of the Newton Junior High School Choir want to make a robe for each of the 24 choir members. If each robe requires 2 5/8 yards of cloth, what is the total number of yards of cloth needed to make all the robes?
Answer:
63
Step-by-step explanation:
Help me out!!!
Is due today!!
The radius of the large circle would just be the diameter of one of the smaller circles, so 14 inches.
In order to solve this, we will need to find the area of the large circle and subtract the area of two smaller circles.
I'll be using pi as 3.14 for this.
Large Circle:
[tex]A = \pi r^{2}\\A = \pi (14)^{2}\\A = 196\pi \\A = 615.44[/tex]
Smaller Circle:
[tex]A = \pi r^{2}\\A = \pi (7)^{2}\\A = 49\pi \\A = 153.86[/tex]
Now we just simply subtract them.
615.44 - (2 * 153.86)
= 307.72 inches
You might've noticed that is exactly half of the area of the larger circle.
That's because if you halve the radius of a circle, you will get one fourth of original area.
Given m \| nm∥n, find the value of x.
m
n
t
(x+5)°
(x-13)°
Answer:
5
Step-by-step explanation:
564 is divided by 3 = 4
If four times a number is added to-7, the result is 3 more than twice the number what’s the number
Answer:
the number is 5
Step-by-step explanation:
let the number be x
4*(x)+-7=3+2x
4x-7=3+2x
2x=10
x=5
aryl borrowed $5,876 for 6 years. If the loan's annual simple discount rate was 7.4%, how much did he have to return?
Aryl has to return $8484.944 after 6 years
WHAT IS SIMPLE INTEREST ?Simple interest is interest that is only based on the borrowed or deposited principal. The principal payment is multiplied by the interest rate, and the time factor is then included. Due to the fact that simple interest does not compound over time, investments grow more slowly.
CALCULATIONP = $5876
R = 7.4 %
T = 6 years
S I = P x R x T / 100
= 5876 x 7.4 x 6 / 100
= $2608.944
amount to be paid = 5876 + 2608.944
= $8484.944
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How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution?
_quart(s) of pure antifreeze must be added.
There are 0.857 quarts of pure antifreeze that must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution.
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that there is 10% times 3 quarts or 0.3 quarts of antifreeze in the current mix and we want a 30% solution.
Let the amount of pure antifreeze to be added would be x
The equation to solve becomes,
⇒ (0.3 + x )/(3 + x) = 0.3
⇒ (0.3 + x ) = 0.3 × (3 + x)
⇒ (0.3 + x ) = 0.9 +0.3x
⇒ 0.7x = 0.6
⇒ x = 0.857
Therefore, we need to add 0.857 quarts of pure antifreeze to the current solution to make a 30% solution.
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Find the Domin and range f(x) =-2(x+3)2 -5
Domain and range of [f(x) =-2(x+3)2 -5] are as follows: x in RR, y in [-∞, -5].
What in mathematics are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f are contained in this collection (x). A function's range is the range of values that it can accept as input. The function produces this list of values once we enter an x value.
according to given information;
This is a polynomial of degree 2, "domain is x in RR," and "to determine the range, we require the vertex and if maximum" or "minimum turning point," the equation of the polynomial's vertex and range."" a parabola in "color(blue)"vertex form" is.
•(x)y=a(x-h)²+k
"where "(h,k)" are the coordinates of the vertex and a"
"is a multiplier"
f(x)=-2(x+3)²-5" is in this form"
"with "(h,k)=(-3,-5)" and "a=-2
"since " a <0" then maximum turning point"
"range is "y in(-oo,-5]
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Simplify the follow expression show each step of ur work
-5 + -7 + 12
Answer:
0
Step-by-step explanation:
We just add left to right:
- 5 and -7 is -12
-12 plus 12 is 0.
graph a function with a domain of all real numbers less than -4?
y
The range is the set of y values.
Use the formula for computing future value using compound interest to
determine the value of an account at the end of 4 years if a principal
amount of $2,500 is deposited in an account at an annual interest rate of
5% and the interest is compounded daily. (Assume there are 365 days in
a year.)
The amount after 4 years will be $
(Round to the nearest cent as needed.)
The Total amount after 4 years will be $3000 and interest will be $500.
The rate at which you borrow or lend money is called the simple interest. If a borrower takes money from a lender, an extra amount of money is paid back to the lender. The borrowed money which is given for a specific period is called the principal. The extra amount which is paid back to the lender for using the money is called the interest.
You calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculation's mathematical formula:
A = P (1+rt)
P = Principal Amount
R = Rate of interest
t = Number of years
A = Total accrued amount (Both principal and the interest)
Interest = A – P.
Total amount after 4 years
⇒ $2,500 (1+5%×4)
⇒ $2,500 ×1.2\
⇒ $3000
interest= $3000 - $2,500= $500.
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At a local concert hall, the owner charges $7 per ticket. The owner must pay his band
$1200. Every customer receives a brochure that costs the owner $2 for each person.
The number of people that must attend for him to break even
is 240.
Given that the owner charges $7 per ticket, every customer receives a brochure that costs the owner $2 for each person and the owner must pay his band $1200.
We are required to find the people must attend for him to break-even.
Break even point is the point at which there is not any profits or losses.
We have to first form the equation for the break even.
Suppose the number of people be x.
Cost to the owner will be 1200+2x.
Revenue will be 7x.
Break even point will be at the point where 7x=1200+2x
7x-2x=1200
5x=1200
x=240
Hence the number of people that must attend for him to break even
is 240.
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Question is incomplete. It should include the following line:
Calculate the break even level for the owner of local concert hall.
Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were
79
,
77
, and
91
. What is the minimum score you need on the fourth test to get an B for the course?.
The minimum score needed on the fourth test to get a B grade for the course is; 153 points.
What is the minimum score required for a B ?It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.
To get 80%, one must get; (80/100) × 500 = 400 points.
Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.
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If y= -252 when x = 84, what is Y when X =74?
Answer:
Step-by-step explanation:
So lets turn this into a ratio
-252/84
so now we need to know
y/74
So, -252/84= -3
so y/74 needs to be equal to -3
74*-3 = 222
-222/74=-3
So our answer is y = -222
Hope this helps!!^^
Writing a multi-step equation for a real-world situation
TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a combined total of 118 MP3 and DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
total profit (in dollars)
The required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Let the number of MP3 players TechWiz sold last week would be x.
Here TechWiz Electronics makes a profit of $35 for each MP3 player sold.
Last week, TechWiz sold a combined total of 118 MP3 and DVD players.
As per the condition,
So the required expression for the combined total profit would be:
= 35x + 18(118-x)
= 35x + 2124 - 18x
= 17x + 2124
Hence, the required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
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ompletion Status: Moving to another question will save this response. uestion 2 Consider two events: E and F. We know that P(E)=P(F) = 0.7. Are the two events E and F disjoin a. No, because P(E) and P(F) add up to more than 1 b. No, because P(E and F) is unknown OC. No, because P(E) and P(F) are equal d. Yes Ly A Moving to another question will save this response. E C E
The correct option a. No, because the probabilities P(E) and P(F) add up to more than 1.
What is termed as the disjoint sets?Disjoint sets are the ones in which their intersection results in such a null set. In set theory, we sometimes notice that two sets have no common elements, or that the intersection of a sets is an empty set or null set. This is referred to as a disjoint set. For instance, if we have X = a, b, c and Y = d, e, f, we can say that given 2 sets are disjoint because they have no common elements.For the given condition;
P(E) = P(F) = 0.7
the sum of both will be.
P(E) + P(F) = 1.4
But, we know that probability can never be more than 1.
Thus, there must be some elements which are common in both sets, which makes the set disjoint.
Thus, events E and F are not disjoint events.
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find the measure of the angle indicated x + 96 x+ 96
The measure of the angles shown is 90 degrees
Lines and anglesA line is defined as the shortest distance between two points while the point where two lines meet is known as an angle.
From the given diagram, the sum of both adjacent angles is supplementary to have:
x + 96 + 96 + x = 180
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -6
Substitute the value of x into the expression
<d = x + 96
<d = -6 +96
<d = 90 degrees
Hence the measure of the angles shown is 90 degrees
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Rewrite (128 + 32) using factoring. 2(124 +17) 4(32 + 8) 8(17 +4) 12(14+3)
The expression (128 + 32) when rewritten using factoring is 4(32 + 8)
How to rewrite the expression using factoring?The expression in the question s given as
(128 + 32)
Express the numbers 128 and 32 as the product of their factors
i.e. we factor out 4 from the expression
So, we have
(128 + 32) = (4 * 32 + 4 * 8)
Next, we factor out the common factor (i.e. 4) from the expression
So, we have
(128 + 32) = 4 * (32 + 8)
Rewrite the above expression as follows
(128 + 32) = 4(32 + 8)
Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)
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Use the graphs of f and g to evaluate the composite function.
f(g(-6))
Answer: 4
Step-by-step explanation:
f(x)=|x-5|
g(x)=-x-5
f(g(-6))=
f(-(-6)-5)=
f(6-5)=
f(1)=
|1-5|=
|-4|=4
Find an equation of the line that satisfies the given conditions. Through (1, −6); parallel to the line x + 2y = 6
y=1/2x-13/2 is equation of the line that satisfies the given conditions. Through (1, −6) and parallel to the line x + 2y = 6
What is slope intercept of line?y=mx+c
where m is the slope.
Firstly we need to find the slope of the line x - 2y = 6 by using slope intercept form, y=mx+c.
-2y=6-x
2y=x-6
y=1/2 x-6
m=1/2 slope of the line x - 2y = 6.
For parallel lines slope will be same.
Now Use y = mx + b and the point (1,-6) to find b, the y-intercept.
-6= (1/2)*1 + b
-6-1/2=b
-13/2=b
y=1/2x-13/2 is the equation of line.
Therefore y=1/2x-13/2 is the line parallel to x + 2y = 6.
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Landscaping boulders weigh 28 pounds each. Using b for the number of boulders and w for the weight, write an equation that relate the two variables.
Equation should begin with w =.
I am very confused with this question
.--. .-.. . .- ... . / .... . .-.. .--. / -- . / --- ..- -
heres some morse code
Answer:Ok i will help you out
-11/4n - 1/8
Step-by-step explanation:
Cause yes and most likely is it
Source: Trust me + I did the math(dunno correct) just try tho
11
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x = 21. The second number is 7.
OC. The equation that represents this situation is -3x = 21. The second number is -7.
OD. The equation that represents this situation is -3 + x = 21. The second number is 18.
Reset
Next
Answer:
C
Step-by-step explanation:
U and V are mutually exclusive events.
P(U) = 0.29
P(V) = 0.38
Part (a)
P(U AND V) =
Part (b)
P(UV)=
Part (c)
P(U OR V)=
Answers
P(U and V) = 0
P(U or V) = 0.67
========================================
Explanation:
P(U and V) = 0 since U and V are mutually exclusive. Such events cannot happen at the same time. Example: flipping a coin to get heads and tails at the same time.
-------
P(U or V) = P(U) + P(V) - P(U and V)
P(U or V) = 0.29 + 0.38 - 0
P(U or V) = 0.67
-------
I'm not sure about P(UV) since there doesn't seem to be enough information. Does your teacher mention if the events are independent or not?
FIRST ANSWER GETS BRAINLIEST
I really need help with this question
Answer:
a. write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister
Select the correct answer.
The slope of line 2/3 is. Line mis perpendicular to line /.
What is the slope of line m?
PLEASE HELP !
You go to a store to buy sneakers. You have a coupon for $15 off. Write a function f(d) that models this discount on an item that costs d dollars
The function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15
How to write a function f(d) that models this discount on an item that costs d dollars?The given parameters are
Discount = $15
Value = d
The function f(d) that models this discount on an item that costs d dollars is
f(d) = Value - Discount
This gives
f(d) = d - 15
Hence, the function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15
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