Answer:
0.18
Step-by-step explanation:
Dora opens a savings account and puts in $ 290 at the start. Every week, she deposits $ 30 in the account. Which type of function would you use to model the relationship between the number of weeks since Dora opened the account, and the amount of money in the account
Answer:
f(x)=290+30x
Step-by-step explanation:
the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.
Complete the table below to find solutions to the linear equation −3x−y=27.
Answer:
×=3×+y=27
Step-by-step explanation:
the variables are not the same so you cant do anything
Answer:
X Y (X,Y)
0 -27 (0,-27)
4 -39 (4,-39)
-9 0 (-9,0)
y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2
Answer:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Step-by-step explanation:
This is separable.
Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:
y/(1+y)^(1/2)=(1+x)^(-1/2) x dx
Using law of exponents to get rid of negative exponent by finding reciprocal:
y/(1+y)^(1/2)=x/(1+x)^(1/2) dx
Let u=(1+y)^(1/2).
Then u^2=1+y.
Differentiate: 2 u du=dy
[Let v=(1+x)^(1/2).]
Plug in our substitution:
(u^2-1) 2u du/u=(v^2-1) 2v dv/v
Simplify:
(u^2-1) 2 du=(v^2-1) 2 dv
Integrate both sides:
(u^3/3-u) 2+L=(v^3/3-v) 2+K
Divide both sides by 2:
u^3/3-u +L/2=v^3/3-v+K/2
K/2-L/2 is just a constant value C:
u^3/3-u=v^3/3-v+C
Use substitution again to put back in terms of x and y:
((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C
Simplify the exponent part a bit:
(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C
I don't like the division by 3 so multiply both sides by 3:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C
3C is still just an unknown constant, c.
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
An 18 foot long ramp is placed at a loading dock that is 5 feet above ground. How far is the bottom of the ramp from the dock?
Answer:
sqrt299
Step-by-step explanation:
Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :
a=5
b= ?
c=18
(Then we can move all of the numbers together but what you do to one side you must do to the other)
Therefore,
(Now to make b a single variable we must square root both sides)
Therefore,
Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue
Where and
(approximately)
if 1/3 of a gallon of paint covers 1/8 how much paint is needed to cover the entire wall
Answer:
4 gallons
Step-by-step explanation:
A car of the year 2020 is topped with 25% of its price. If the list price says $ 25,000, what will the discounted price be?
Answer:
is he a business man or something
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
Identify the graph that matches the piecewise function
The price of an item has been reduced by 85%. The original price was $37.
Answer: Multiply the original price by the decimal form of the percent and subtract that from the original price.
37*0.85=31.45
37-31.45=5.55
Answer: New price is $5.55
How to find answer to: 8% of ? = 20
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
A A color printer prints 23 pages in 8 minutes.
How many minutes does it take per page?
Answer:
almost 3 pages
Step-by-step explanation:
take 23 divided by 8 =2.875
Anne and chima are to share a sum of money in ratio 4:1.Anne obtains #6000.what is chima's share?
Answer:
Chima would obtain 1200
Can someone please help me
Step-by-step explanation:
it will be around $90.86
Answer:
No. of adults who answered 'yes'
= 20% × 1073
= 214.6
Total amount of money paid
= (18%×$77)+$77
= $13.86+$77
= $90.86
Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.
Answer:
4
Step-by-step explanation:
ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1
24/6 = 4
Gven: f(x) = 4x +1 and (x)= x^2 + 1.
find (fog)(x)
Answer:
Step-by-step explanation:
27836?+_68_729+_8978
Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.
Answer:
D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16
help pls home work home qork
Answer:
the answer is this sign >. it means the answer on the left is greater than the one on the right
third degree with zeros of − 3 −1 and 5 and a y-intercept of − 10
Answer:
What are you asking? Yeah I know that but what do you need to know?
Step-by-step explanation:
A recent study showed that players of a certain video game tend to perform better if they take breaks. The study involved analyzing data from 242{,}000242,000242, comma, 000 matches played by 16{,}66516,66516, comma, 665 players of League of Legends, a popular online game. The data showed that players who took regular breaks, on average, performed better than those who did not. What conclusion can they draw from this study
Answer:
There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.
Step-by-step explanation:
Are the two ratios that make up a proportion
always, sometimes, or never equivalent
Answer:
Always
Step-by-step explanation:
In mathematics, when we say that two ratios form a proportion, we mean that the two ratios are equal.
Ex: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
A proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 105 equals 21 .
The two ratios sometimes that make up a proportion.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We know that;
Two ratios that make up a proportion when both ratios are equal to each other.
And, When two ratios are not equal then it cannot make a proportion.
Hence, The two ratios sometimes that make up a proportion.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
Janet is three years older than her sister Julie Janet's brother is 8 years older than their sister Julie the sum of all their ages is 55
Answer:
Julie is 14.67, Janet 17.67 and Brother 22.66
Step-by-step explanation:
Let Julie age be x
Janet: x+3
Brother: x+8
x+x+3+x+8=55
3x+11=55
3x=44
x=14.7
Triangle PQR, triangle RST and two angle measures are shown below
Line segment QT intersects line segment PS at point R.
What is the value of x?
(look at picture to get a better understanding)
Answer:
x=50
Step-by-step explanation:
60+70=130
180-130=50
according to vertical angles x equals 50 degrees
Simplify.
1) 448
A) 5V3
C) 12V2
B) 8V
D) 10v2
Answer:
B
Step-by-step explanation:
The square root of 448 rounded up to 6 decimal places is 21.166010. It is the positive solution of the equation x2 = 448. We can express the square root of 448 in its lowest radical form as 8 √7.
How
many different possible outcomes are there if you spin 6 spinners labeled Red,
Blue, Yellow?
Answer:
Step-by-step explanation:
HELPPP LAST ATTEMPT!!
An airline finds that if it prices a cross-country ticket at $300, it will sell 400 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
OMG HELP RN
Amelia had 29 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A.
29 - 10 - S
B.
29 + S + 10
C.
29 + 10 - S
D.
29 + S - 10
Answer: It should be C
Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there
Answer:
I think that it would be C 29+10-S
Step-by-step explanation:
I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S
19+0.12x=0.16x
This whole entire unit is pretty simple, but apparently my brain won't think.
Could you please help?
Answer:
0.04x = 19
x = 475
Step-by-step explanation:
19 + 0.12x = 0.16x
Take away 0.12x from both sides
19 = 0.04x
Divide 19 by 0.04 to find x
x = 475
Answer:
475
Step-by-step explanation:
First, you have to simplify the equation by moving all the like terms to one side of the equal sign.
This entails the taking of 0.12x to the right side of the equal sign.
Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.
So we have
19=0.16x - 0.12x
We then simplify further and get the equation
19=0.04x
To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:
19/0.04=0.04x/0.04
We then find that
x= 475
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
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Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.
Answer:
You should be able to get your answer by
Step-by-step explanation:
For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.
Hope this helps
