Using significant digits, determine the product of 3.865 and 2.4.
Answer:
3.865 - has 4 significant digits.
2.4 - has 2 significant digits.
Product = 3.865 × 2.4 = 9.276
So,
9.276 has 4 significant digits.
Answer:
D:9.3
Step-by-step explanation:
The other person is right but forgot to round the last number, for significant numbers.
I need some help plz!!!
Answer:
an = a+4n-4
Step-by-step explanation:
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A
containing 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing
520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so
that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer: Bonnie can make 40 treat bags. Each treat bag has three pieces of Candy A, 11 pieces of Candy B, and 13 pieces of Candy C.
Step-by-step explanation:
Since there's no number of student's in her child's class, I did this:
I found the common factors of 120, 440, and 520. And found out that the GCF (greatest common factor) is 40.
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
After finding out that the GCF is 40, I took the numbers 120, 440, and 520, and divided them by 40.
120 divided by 40 = 3
440 divided by 40 = 11
520 divided by 40 = 13
Therefore Bonnie can make 40 treats bags with no candy pieces left behind.
Shrimp costs $12 per pound. You buy
40 ounces. How much will you.( please show your work )
Answer:
$30
Step-by-step explanation:
Ounces to pounds. 16oz in a pound.
40 / 16 = 2.5
12 x 2.5 = 30
You will pay $30 on shrimp.
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of the following steps can be used to eliminate the a term? −1(4a + 2b = 19) −4(4a + 2b = 19) −4(a + b = 6) 4(a + b = 6)
Answer:
[tex]-4(a + b = 6)[/tex]
Step-by-step explanation:
Given
[tex]a + b = 6[/tex]
[tex]4a + 2b = 19[/tex]
Required
Eliminate a
Multiply the first equation by -4
[tex]-4(a + b = 6)[/tex]
Add to the second equation
[tex]-4(a + b = 6) + (4a + 2b = 19)[/tex]
Solve brackets
[tex](-4a -4b = -24) + (4a + 2b = 19)[/tex]
Open bracket
[tex]-4a + 4a -4b + 2b = -24 + 19[/tex]
[tex]-4b + 2b = -24 + 19[/tex]
At this point, a has been eliminated;
From the list of given options, the option that answers the question is [tex]-4(a + b = 6)[/tex]
A 14-year old girl caught feelings too fast and/or fell too hard. She judged herself every single day. She felt as if people judged her as she walked past people. She wanted to loose weight. How can she loose 139 lbs if she ways 180 lbs without going on a diet or taking any medicine or pills? How much lbs would she loose? How much would she weigh after? What sizes would she wear in all clothing?
Answer:
She can loosen weight by exercising. If she exercises for about 6-8 months she can loosen about 139 pounds. After loosing that much weight, she will weigh 40 lbs/pounds. She will then wear clothes of S(Small) size.
Step-by-step explanation:
Tried my best
Match the pairs of variables with the type of relationship they show. the number of high school seniors and high school graduates the amount of snowfall and the number of voters the number of doctors and the number of nurses correlation without causation correlation with causation
Answer: Correlation without causation.
Correlation with causation: the number of high school seniors and high school graduates
Step-by-step explanation:
Correlation is a term that tells there is a relationship between two quantities.
Causation is a relationship where one quantity is affected by the other.
The number of graduates completely depends on the number of high school seniors.
So, the relationship between the number of high school seniors and high school graduates is a causation.
There is no relation between the amount of snowfall and the number of voters.
The number of nurses depends on the number of doctors but not completely.
It may be possible that the number of nurses will not increase with an increase in the number of doctors in a particular hospital.
So, there is a correlation without causation between the number of doctors and the number of nurses.
Answer:
correlation without causation is the number of doctors
and the number of nurses
correlation with causation is the number of high school seniors
and high school graduates
Step-by-step explanation:
plato
Rewrite without parentheses. (3y^5z^4-7y^3)(-5yz^6) simplify your answer as much as possible.
Answer:
-15y^6z^{10}+35y^4z^6
Step-by-step explanation:
used an equation calculator
Ian has a bank account that earns interest. The value, V, in dollars, of Ian's account after T years can be modeled by the exponential function V(t)=5000(1.025)t.
Ian claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to be true?
a) V(t+1)−V(t)=1.025
b) V(t)−V(t+1)=1.025
c) V(t+1)V(t)=1.025
d) V(t)V(t+1)=1.025
Answer:
the correct answer is a one
The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
Calculation of an equationSince The value, V, in dollars, of Ian's account after T years could be modeled via the exponential function V(t)=5000(1.025)t. So for claiming that the value of the bank account should be grown at the equal factor at each year so fir this, the option b is considered.
Therefore, The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
learn more about years here: https://brainly.com/question/20292718
Which statement is true about the following system of equations?
3x - 1/2y = 1
x + 2y = 7
Select one:
a. y<x
O b.y=x
O c.y>x
d. can not be determined
Answer:
c. y>x
Step-by-step explanation:
When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.
Here is what I mean by this:
Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.
x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.
Now that we have an expression which is equal to x.
We can directly replace that with the 3x in the other equation by multypling this by 3:
x = 7 - 2y → 3(x) - 1/2y = 1
3(7 - 2y) - 1/2y = 1
Now that we only have y's, we can simply the equation, and solve for y.
21 - 6y - 1/2y = 1
21 -13/2y = 1
(get rid of the constant on the left side by subtracting)
-21 -21
-13/2y = -20
(remove the denominator by Multiplying)
×2 ×2
-13y = -40
÷13 ÷13
(cancel out the coefficient by dividing)
-y = -40/13
(take the opposite of the other side to make y positive)
×-1 ×-1
y = 40/13.
Now that we have y just solve for x since we already have a term of x in the other equation:
y = 40/13 → x + 2y = 7
x + 2(40/13) = 7
x + 80/13 = 7
Then subtract both constants to find x:
x + 80/13 - 80/13 = 7 - 80/13
x = 7 - 80/13
(create like denominators, but Multipy
PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17
Let the number = x
Writing the equation you have:
10x + 15 <= -17
Solve for x
Subtract 15 from both sides:
10x <= -32
Divide both sides by 10:
X <= -32/10
Simplify:
X <= -16/5 as a fraction or -3.2 as a decimal
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
Answer:
g(-2) = 0
Step-by-step explanation:
Since it is asking for g(-2), that means that we only have to worry about the equation g(x) = x^2+2x. When it asks for g(-2), that means you replace every "x" that shows up in the equation with -2.
So plugging in -2 for x we get g(-2)=(-2)^2+2(-2). Simplifying we get g(-2)=4+(-4). Now adding we finally get g(-2)=0
In an election 32 thousand people voted for Mayor Jackson . A total of 56 thousand people voted in the election . What is the ratio of number of votes that were not mayor Jackson to the total number of votes in simplest?
Answer:
3/7
Step-by-step explanation:
to find the ratio of the number of votes that weren’t mayor jackson you do 56-32. the ratio will be 24/56. now you just simplify to get 3/7
Answer:
3/7
Step-by-step explanation:
Subtract 32,000 from 56,000 and you will get 24,000
24,000/56,000 is simplified to 3/7
Determine the domain of the function 9x/x(x^2-36)
Answer:
{ x ≠ ±6 ∪ x ≠ ± 6}
Step-by-step explanation:
x cannot be zero even though x can be cancelled in this expression. Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.
Domain is { x ≠ ±6 ∪ x ≠ ± 6}
Seth started reading his book at 2:50 P.M. At 3:20 P.M. he finished his second chapter and decided to stop for a snack. How long did Seth read?
Answer:
30 mins
Step-by-step explanation:
if you add 10 mins to 2:50, it makes it 3:00, then you just add the 10 mins + the 20 mins (after 3pm) and you get 30
Which of the following is a geometric sequence?
1,2,4,8,16....
-3,1,5,9...
4,8,24,96,480,...
O-5,0,10,25,45,...
Answer:
1, 2, 4, 8, 16...
Step-by-step explanation:
To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.
Answer:
Step-by-step explanation:
Each term of a geometric sequence is a multiple of the previous term. For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18. And so on.
1,2,4,8,16.... fits this pattern. The first term is 1 and each succeeding term is 2 times the previous term: 1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.
Please help me find the missing length of the triangle in the attached image. Thanks!
Answer:
? = 21
Step-by-step explanation:
Parallel lines cut off proportional segments on transversals.
27/? = 18/14
18 * ? = 27 * 14
2 * ? = 3 * 14
? = 3 * 7
? = 21
Answer:
21
Step-by-step explanation:
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if
m∠A = α, m∠B = β
Answer: ∠ABD = [tex]\bold{\frac{1}{2}}[/tex]∠C
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180^o\\\\\dfrac{1}{2}\angle A+\dfrac{1}{2}\angle B+\angle D=180^o\\\\\\\text{Solve the system by multiplying the second equation by -2}\\\angle A + \angle B + \angle C = 180^o\\\underline{-\angle A - \angle B - 2\angle D = -180^o}\\.\qquad \qquad \quad \angle C-2\angle D=0\\.\qquad \qquad \qquad \qquad \angle C=2\angle D\\.\qquad \qquad \qquad \quad \dfrac{1}{2}\angle C=\quad \angle D\\[/tex]
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump
1/t = 1/t1 + 1/t2 - 1/t3
1/t = 1/60 + 1/80 - 1/90
1/t = 12/720 + 9/720 - 8/720
1/t = 13/720
t = 720/13 hours = 55.38 hours = 55 hours 23 minutes
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
th
Write an
explicit formula for
ans
then
term of the sequence 40,50,60, ....
n starts at 1, and n is a positive whole number (1,2,3,...)
======================================================
Explanation:
The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.
--------
a1 = 40 = first term
d = 10 = common difference
[tex]a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\[/tex]
is the general nth term of this arithmetic sequence
Plug in n = 1 and you should get [tex]a_1 = 40[/tex]
Plug in n = 2 and you should get [tex]a_2 = 50[/tex]
and so on
What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answer:25
Step-by-step explanation:
Time Sensitive Question
Answer:
X< 7/12
Step-by-step explanation:
Answer:
X< 7/12
Step-by-step explanation:
I need help with number 5
Answer:
B. BD = 9
Step-by-step explanation:
Simply set the 2 equations equal to each other (both are congruent due to perpendicular bisector):
6x + 3 = 3x = 6
3x + 3 = 6
3x = 3
x = 1
Then substitute 1 for x in BD
6(1) + 3
6 + 3
BD = 9
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Jerome was curious if \triangle ABC△ABCtriangle, A, B, C was congruent to \triangle FED△FEDtriangle, F, E, D, so he tried to map one triangle onto the other using transformations: Jerome concluded: "It's not possible to map \triangle ABC△ABCtriangle, A, B, C onto \triangle FED△FEDtriangle, F, E, D using a sequence of rigid transformations, so the triangles are not congruent." What error did Jerome make in his conclusion?\
Answer: C
Step-by-step explanation: I just did it on Khan Academy.
Answer:
C
Step-by-step explanation:
I got it correct on Khan.
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answer: C) [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Step-by-step explanation:
The given system of equations :
[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]
Simplify left side, we get
[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]
Multiplying 2 on equation (iii), we get
[tex]4y-8x=10\ \ ...(v)[/tex]
Subtracting (v) from (iv) , we get
[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]
Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get
[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]
HELP NEEDED,THANK YOU find all real zeros and complex of each function f(x)=x(4x-6)(x+1)(3x+5).SHOW WORK!!!
Answer:
x=0, 3/2, -1, -5/3
Step-by-step explanation:
The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)
The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)
So the answer is 0, 3/2, -1, and -5/3.