Which statement is always true?
A) Alinear relationship is proportional.
B) A linear relationship is non-proportional.
C) proportional relationship contains the point (0,0).
D)non-proportional relationship has a constant rate of change.
Solve the equation below. Show the steps that lead to your final solution.
5(2x+1)+6x-13=3(3x-2)
Answer:
this is how u would do it
5(2+1)+6−13=3(3−2)
10+5+6−13=3(3−2)
=2/7
Simplify the expression.
(6 + 5) x3
A. 16
B. 11
O
C. 33
D. 21
SUBA
Answer:
C. 33
Step-by-step explanation:
In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)
Answer: (0.1118, 0.3454)
Step-by-step explanation:
Confidence interval for population proportion is given by :-
[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.
Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.
Given : n= 35
[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]
Critical z-value for 90% confidence level =1.645
A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:
[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]
∴ Required confidence interval : (0.1118, 0.3454)
The picture below has got me stuck
Answer:
X=42
Step-by-step explanation:
when the question says that ABCD ~ EFGH that's just saying that they are equal.
AB = 16 FE = 10 the first shape has sides that are 6 longer than the second shape.
next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).
i hope thought this out right for you, and hope that helps. :)
What is the image point of ( 8 , − 2 ) after a translation right 5 units and up 2 units?
Answer:13,0
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,
Translation right by 5 units → (x+5, y)Translation up by 2 units → (x+5, y+2)Now, the given coordinate (8, -2) can be translated as shown below,
Translation right by 5 units → (8+5, 2) = (13, 2)Translation up by 2 units → (8+5, 2+2) = (13, 4)Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).
Learn more about Coordinates here:
https://brainly.com/question/23450276
#SPJ2
HELPPPPP
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a.
RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b.
RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
c.
RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her yearly income when she retires.
d.
RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her yearly income when she retires.
Answer:
It's actually b
Step-by-step explanation:
cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.
Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.
Cooper's jump is :
[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]
Juke's jump is
[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.
-6(x-3)+4x simplify the expression
Answer: -2x+18
Hope this will help :)
Answer:
-2x + 18
Step-by-step explanation:
Simplfy
-6 (x - 3) + 4x
-6x + 18 + 4x Combine liked terms
-2x + 18
Solve two sevenths plus seven fourteenths
Answer:
Eleven Fourteenths
Step-by-step explanation:
Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14
Answer:
c
Step-by-step explanation:
i took the test
pls help it's due in 4 mins
Answer:
The mistake is the height has to be 6
Step-by-step explanation:
A=B times H
A= 11 times 6
A=66 divided by 2
A= 33 units squared
Hopefully this helps!
Answer:
the answer is 6 .....
no need to explain
a boat can travel 384 miles on 48 gallons of gasoline. how much gas does will it need to go 456 miles?
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?
Answer:
At the end of the 100th turn, you have 90 plates placed normally.
Step-by-step explanation:
Not sure if there is a formula to calculate this. I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.
any help will mark brainliest
f(x) = –2x2 + 8x – 10
Find f(-4)
Answer: x = -74
Step-by-step explanation:
Problem:
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.
Answer:
The answer is: y = 9.25x
Step-by-step explanation:
Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.
Here, m is the constant of proportionality and we have to find its value.
Given that Craig earns $37 for 4 hours duty.
So, from equation (1), we have 37 = 4m, ⇒ m = 9.25
Therefore, the equation becomes y = 9.25x. (Answer)
If $1000 is invested in an online saving account earning 8% per year, how much will be in the account at the
end of 10 years if there are no other deposits or withdrawals and interest is compounded:
would it be, semiannually, quarterly, daily, continuously?
Answer: $2208.04
Step-by-step explanation:
Can anyone solve the his it’s pretty easy but I really don’t feel like doing anything today lol
Answer:
100
Step-by-step explanation:
Yw btw LOL! Ik this answer is probs wrong LOL
What is the probability that a student chosen at random has a GPA less than 3.00?
Answer:
1200/2000
Step-by-step explanation:
There are 1200 students total that have a GPA less than 3.00. That means that out of 2000 students, 1200 of them have a GPA less than 3.00, hence 1200/2000 chance that a student is picked at random with less than a 3.00.
HELP IM STUCK PLEASE
Answer:
C and F
Step-by-step explanation:
ABC is a straight line.
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answer:
60
Step-by-step explanation:
so 4 of BC will make a AB, so AC =5 of BC =75
therefore BC=75/5=15
If BC=15 and AB=4*BC=4*15=60
Create a scenario (word problem) that goes with this equation.
100−3x=74.50 (best answer gets brainliest)
Answer:
I have $100 and I buy 3 lunches, after which I'm left with $74.50. How much does each lunch cost?
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
Venn diagram is shown below:
What are the elements of (A ∩ B) ' ?
Answer:
1 and 2 are the elements of (A B)
87.039 as a mixed number
Answer:
87 39/1000
Step-by-step explanation:
What the domain and range please help meee
Answer:
For question 3 on the worksheet Domain is -4<=x<=2 and Range is -4<=y<=4
Step-by-step explanation:
For the domain, we know that the x values are between -4 and 2 and for the Range we know that the y values are between -4 and 4.
what is equevelent to 5/7
(-3, 7) and (6, -8) linear equations