Lillian multiplies two numbers as follows: A Times. B = C. Given that A has five significant figures and two decimal places and B has six significant figures and four decimal places, which equals the number of significant figures in C? two four five six.
The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Given :
Lillian multiplies two numbers.A has five significant figures and two decimal places and B has six significant figures and four decimal places.The following steps can be used in order to determine the total number of significant figures of C:
Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.
Step 2 - It is also given that C is equal to A times B.
Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Therefore, the correct option is C).
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Answer: c
Step-by-step explanation:
Jenny asked 48 classmates whether they prefer granola bars over muffins. she used a calculator to compare the number of classmates who said yes to the total number she surveyed. The calculator showed the result as 0.66666667.
PART A: Write this number as a fraction.
PART B: How many students prefer granola bars over muffins.
A) The number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]
B) 32 students prefer granola bars over muffins.
The total number of classmates = 48
The probability that a student says yes = 0.66666667
Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]
To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000
The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]
Therefore, the number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]
Number of students that prefer granola bars over muffins = 0.66666667 x 48
Number of students that prefer granola bars over muffins = 32
Therefore, 32 students prefer granola bars over muffins.
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i don't understand how to do this someone help me math!!
Answer:
-8
Step-by-step explanation:
ky^2 = -5y + 7y^2 +9y - 15y^2 -4y
ky^2 = -8 y^2
k = -8
Answer:
8
Step-by-step explanation:
We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.
We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.
[tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]
In order for this to be zero for all values of y, we must have (-a+8) = 0.
a = 8
The missing coefficient is 8.
_____
Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.
-a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0
-a -[-5-(-16)] -[-19] = 0
-a -11 +19 = 0
-a +8 = 0
a = 8 . . . . . . same as above
_____
Additional comment
The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.
We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.
(5a^3-2)(5a^3+2) expand and combine like terms
Step-by-step explanation:
(5a³-2)(5a³+2)
5a³×5a³+ 5a³×2 - 2× 5a³+ 5a³×2 5a³+10a³- 10a³ + 10a³5a³+10a³ + 10a³-10a³15a³ AnswerWrite a quadratic function f whose zeros are 5 and -2
Answer:
y = (x-5)(x+2)
Step-by-step explanation:
the zeros are the solution to 'x' of each factor:
x-5=0; x=5
x+2=0; x = -2
What is the value of 24 + 32 - 52
which one is not congruent SSS,SAS,AAS,ASA,HL?
Answer:
none of the above
Step-by-step explanation:
All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.
All can be used to show congruence.
Name the solution
A.
(2, -3)
B.
(3, 2)
C.
(3, -1)
D.
(0, -2)
Answer:
C. (3, -1) is a solution
Step-by-step explanation:
It is inside in the double shaded area.
Answer 1 question. Thanms
Let's solve your inequality step-by-step.
[tex]11+\frac{a}{2}\le 16[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\frac{1}{2}a+11 \le 16[/tex]
Step 2: Subtract 11 from both sides.
[tex]\frac{1}{2}a+11-11\le 16-11[/tex]
[tex]\frac{1}{2}a\le 5[/tex]
Step 3: Multiply both sides by 2.
[tex]2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)[/tex]
[tex]a\le 10[/tex]
Answer:a≤10C.
Find the 4th term in the expansion of (y + 2)
...................................
Answer:
tha.nks for the p.oints buddy!
please help!!!!!
Solve.
−4/9x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
-8.1
Step-by-step explanation:
[tex] \frac{ - 4}{9} x + 2.4 = 6[/tex]
Times all by 9 to get rid of fraction
[tex] - 4x + 21.6 = 54[/tex]
Take 21.6 away from both sides
[tex] - 4x = 32.4[/tex]
Divide by -4
[tex]x = - 8.1[/tex]
Answer: -8 1/10
Step-by-step explanation:
What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4
Answer:
Step-by-step explanation:
It may help you to rewrite this problem in columns:
2x - 3
-( x - 1)
------------
x - 2 (answer) ("x minus 2")
What percent of the model is shaded green?
(answer quick please)
Answer:
30%
Step-by-step explanation:
3 rows out of 10 are shaded green. 3/10 is 30%
Explanation:
Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.
If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%
Need help NOW on HS geometry
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 914.25 How many children and how many adults swam at the public pool that day?
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1
Answer:
C
Step-by-step explanation:
It has a negative slope and it crosses the y axis at -1
I need help on this question
3n + 2 = 17
Answer:
The value of n is 5.
Step-by-step explanation:
Concept :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.Solution :
By using the transposition method. we get,
[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]
[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]
[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]
[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]
[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]
[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]
[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]
Hence, the value of n is 5.
[tex]\rule{300}{1.5}[/tex]
Solve : 3n + 2 = 17
Answer:-n = 5
Explanation:-=> 3n + 2 = 17
=> 3n = 17-2
=> 3n = 15
=> n = 15/3
=> n = 5
Walter can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. If Walter buys 6 packages of cardstock, how many cards can he make in all?
Answer:
dsde
Step-by-step explanation:
(-x + 3) + (4x - 10)
plz help its taxes!!! just questions not real lol
Answer:
pay: 32,000*12 ( since its per month) =384,000
income tax: 384,000*0.45 = 172,800
EI: 384,000*0.0173=6,643.20
CPP: 384,000*0.0495=19,008
Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80
Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25
Step-by-step explanation:
BRAINLIEST
Please do one or more questions
Answer:
12. ⇒ 218 °
13. ⇒ 282 °
Step-by-step explanation:
Problem 12:
Given - MK = 10 m
JK = 52 °
Since ∠LNJ = 90 °
Then LKJ = 90 °
So, KL = 90 ° - 52 ° = 38 °
Now, MK = 180 °
= MKL = MK + KL
= 180 ° + 38 °
= 218 °
Problem 13:
VYX = 360° - (YW + 15°)
YW = 180° - 117° = 63°
VYX = 360° - (63° + 15°) = 360° - 78° = 282°
Answer:
Step-by-step explanation:
in what step did audrey make her mistake in
Answer:
step A
Step-by-step explanation:
she should have added x to both sides.
Answer:
-x+6=5x+30
6=6x+30
6x=-24
x=4
if you want to get rid of the -x you have to add x not take away x
Hope This Helps!!!
Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
Answer:
gigabytes
gigabytes
Answer: 2 is the maximum number of gigabytes
Step-by-step explanation:
5x-6>1+2(4x+1)
I need answers now please and an explanation
NO BOTS I HAVE NO TIME FOR THEM
Answer:
-3
Step-by-step explanation:
I just need 20 characters to help out so yeah
Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.
Answer:
7172.6
Step-by-step explanation:
PLEASE HELP!!
This is worth 20 points please help me!
Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened her account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?
The compounded interest is applied to the amount in the account at end
of a period specified in the rate of compounding.
The amount in the account at the end of 6 quarters is approximately $16,767.2Reasons:
The interest paid on the account = 4% compounding
Amount with which she opened the account = $10,000
Amount she makes as deposit at the end of each quarter = $1,000
Therefore;
The interest per quarter = 4% ÷ 4 = 1%
Amount in the account after the end first quarter, A₁, is therefore;
A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100
The amount in the second quarter, A₂, is given as follows;
A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211
A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11
A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411
A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511
At the end of the 6th quarter, we have;
A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991
The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2
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A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box below.
f(x) = ____
Answer:
mx+b
Step-by-step explanation:
One way to express linear function rules is called slope-intercept form. Sometimes, f(x)=mx+b is used. In either case, m and b describe the general characteristics of the line. m indicates the slope, and b indicates the y-intercept.
The required function of the line would be y = 2x + 1 which is shown in the given graph.
What is the function rule in slope-intercept form?The slope-intercept form is one rule to represent linear function rules. f(x)=mx+b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.
According to the given figure,
We clearly see that the coordinates of the y-intercept would be (0, 1).
The value of the x-coordinate is 1 when y-coordinate is 3.
Here the line passes through points (0, 1) and (1, 3).
Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 0, y₁ = 1
x₂ = 1, y₂ = 3
⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]
⇒ y - 3 = (2)[x -1]
⇒ y - 3 = 2x - 2
⇒ y = 2x - 2 + 3
⇒ y = 2x + 1
Therefore, the required function of the line would be y = 2x + 1 which is shown in the given graph.
Learn more about the Linear function here:
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