Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?
Answer:
after 2 secsStep-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
anyone nervous about semester exams
Answer:
YES
Step-by-step explanation:
I am literally trying to fit in as much studying as possible but I keep getting distracted ;-;
Find the value
If a=4 b=7, and c=-5
3c
Answer:
=-15
Step-by-step explanation:
3c
3(-5)
3×-5
=-15
A line passes through the point (2,3) and has a slope of 0, what equation of the line?
A: y=2
B: y=3
C: x=2
D: x=3
Answer: B
Step-by-step explanation: put the points on a graph
Use a power-reducing formula to rewrite the given expression in terms of the first power of the cosine:
tan^2(8x)
tan²(8x) = sin²(8x) / cos²(8x)
… = (1 - cos²(8x)) / cos²(8x)
… = 1 / cos²(8x) - 1
… = 2 / (1 + cos(16x)) - 1
where the last equality follows from the half-angle identity for cosine,
cos²(x) = (1 + cos(2x)) / 2
Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.
Answer:
0.25
Step-by-step explanation:
3 white counters and 1 black counter,
3+1 = 4
the chances of you choosing the black counter is 1/4
1/4 can also be written as 0.25.
Answer:
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.
Step-by-step explanation:
Probability is the likeliness of occurrence of an event.
Given
There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements
n(S) = 4
Let B be the event that the drawn out counter is black. As there is only one black counter
n(B) = 1
The probability of choosing a black counter is:
[tex]P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25[/tex]
Hence,
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.
Expression vs Equations
Answer:
20
Step-by-step explanation:
An expression dose NOT have an = sign
An equation dose have an = sign
In this case, the expression 4x+8, replace the x with 3, since x=3
4x + 8
4 x 3 + 8 ( don't forget PEMDAS )
12 + 8
20
What is the solution to the system of equations?
Answer:
a
Step-by-step explanation:
a
Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?
An equation that represents the relationships between the time x and the distance y is y = 40x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An eagle flies 40 miles per hour.
An equation that represents the relationships between the time x and the distance y:
Here, x and y are the variables.
So, the equation,
y = 40x.
Therefore, y = 40x is the required equation.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ5
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
please answer asap
Answer: If the a and b of your formula mean how many hours it takes each
person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and
30 minutes. This is not reasonable, since one of the painters alone
could do it in 1 hour.
Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).
Here's why.
Let h be the number of hours it takes for the two of them to do it
together. The first person could do it all in a hours, but can paint
only a fraction of the wall working h hours. Assuming a constant rate
of painting, that fraction is h/a. That is, the first painter will
paint h/a of the wall in h hours.
Similarly, the second painter will paint h/b of the wall in that time.
So, when will they be done? When the whole wall is painted, which
happens whenever those 2 fractions add up to 1.
You need to solve the following equation:
(h/a) + (h/b) = 1
h*b + h*a = a*b Multiplying through by a*b
h*(b+a) = a*b Factoring out h
h = (a*b)/(a+b) Dividing both sides by b+a
Okay, now say 3 painters could do it in a hours, b hours or c hours,
respectively. Let h be the number of hours they all must work to get
it all painted. The first painter finishes h/a of the wall in that
amount of time. The other 2 painters manage to paint h/b of the wall
and h/c of the wall in that time. Since h is the time to finish the
job, all 3 of these fractions must add up to the whole wall, or 1.
So you have the equation:
h h h
--- + --- + --- = 1
a b c
Solve this for h (start by multiplying through by a*b*c) and you will
get the generalized formula for 3 painters. It's not the formula you
wrote above but I think you can finish it off.
(I hope this helps. I'm sorry if it's wrong)
You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence interval for the menu systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.b. 95% of tire population of employees have a systolic blood pressure between 122 and 138c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population means systolic blood pressure.d. The probability that the population mean blood pressure is between 122 and 138 is .95
If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?
Answer:
No
Step-by-step explanation:
30% of $75 is $22.50 (0.3×75=22.5)
$75+$22.50=$97.50, not $100
So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.
Answer:
no
Step-by-step explanation:
Find the value of this expression if x = 5 and x=2
xy^2 / -3
Answer:
-20/3
Step-by-step explanation:
here x=5 and y=2 then put the value and get answer.
A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?
Answer:
1
Step-by-step explanation:
Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one
write 4/7 as a percentage, to 2 decimal places.
Please help!
Answer:
57.14%
Step-by-step explanation:
To convert any fraction to a percentage you need to multiply it by 100
So,
4/7*100= 57.14 (round it off to two decimal places as the question states)
Does anyone know? How to do this?
Answer:
4 operations b/c thats how many is in the box
them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful
Step-by-step explanation:
can u pls help with this question
Answer:
noooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Is this true or false ??
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
Answer:
Please Mark as Brainliest!!!!!!
Step-by-step explanation
In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to increase by 8 with each additional row. How would you find the 100th row?
We can take this as an arithmetic sequence, as the seats in next row is calculated by adding 8 to previous row
So here common difference will be 8
the first term is 21
the arithmetic sequence is given by:
Putting the values of a1 and d
for 100th row,
Putting n=100
3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.
Give the rule you would use to find the 20th week.
Given sequence is:
6, 18, 54, 162, …
we can see that the common difference is not same so we will find the common ratio
The given sequence is a geometric sequence as are the same for consecutive terms
The geometric sequence is given by:
Hence,
2. Seats in 100th Row = 813
3. Rule is:
Keywords: Sequence, ratio
Answer:
see explanation
Step-by-step explanation:
The sequence is
22, 28, 34, ....
Since there is a common difference of 6 the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
a₁ is the first term and d the common difference
Here a₁ = 22 and d = 6, then
[tex]a_{n}[/tex] = 22 + 6(n - 1) = 22 + 6n - 6 = 6n + 16
Equate to 100 and solve for n
6n + 16 = 100 ( subtract 16 from both sides )
6n = 84 ( divide both sides by 6 )
n = 14
Thus the 14 th row has 100 seats
How to Convert 5 over 16 to decimal
Answer:
Step-by-step explanation:
Sorry for the shadow.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim
Answer:
Claim cannot be rejected
Step-by-step explanation:
We solve this by using hypothesis testing
H0: mean = 40
H1: mean ≠ 40
We have samples of 30, but we were not gives the population standard deviation. We used the t distribution
T score = 39.2-40/(7.5/√30)
= -0.5842
Degree of freedom = 30-1 = 29
Then p value = 0.5636
In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.
So company's claim cannot be rejected
NEED ANSWER ASAP- FINALS
Which type of function best models the data in the table? Use differences or ratios.
Choose the correct answer below.
• Exponential model
• Linear model
• None
• Quadratic model
LAST ONE !!! Ok here
Answer:
Market economy
Step-by-step explanation:
Once again this is because they are changing their prices and items for sale because of the changes in market.
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.
Answer:
Step-by-step explanation:
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month
Helllppppppppppppppppp
Answer:
B) 5
Step-by-step explanation:
a(x)=1/9(90-x)
x=45
1/9(90-45)
1/9(45)
5
Hope this helps plz hit the crown :D
Answer:
The value of h(45) ⇨ 5 | B Choice.
Step-by-step explanation:
[tex]h(x)=\frac{1}{9}(90-x)[/tex]
⟺ Find the value of h(45), substitute x = 45 in h(x)
[tex]h(45) = \frac{1}{9}(90-45)\\h(45)=\frac{1}{9}(45)\\h(45)=5[/tex]
Thus, the answer is 5.
What is the value
14x +18 = 118
Answer:
[tex]x = 7.142(appx)[/tex]
Step-by-step explanation:
[tex]14x + 18 = 118[/tex]
[tex] = > 14x = 118 - 18 = 100[/tex]
[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]
please explain steps
Answer:
122º
Step-by-step explanation:
The interior angles of a heptagon add to 900º. We can write an equation and solve:
(12x-9)º+(9x+14)º+(133)º+(10x+9)º+(10x)º+(136)º+(10x+5)º=900ºCombine like terms, 51xº+288º=900ºSubtract, 51xº=612ºDivide, xº=12ºNow that we know x, we can find the measure of ∠B:
∠B=9(12)+14=108+14=122º3x-4+7x-8-10x-2
Simplify
Answer:
The answer is -14
Step-by-step explanation:
P.S Can I have brainliest?
x + 5y = 8
3x = 24 - 157
Answer:
x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]
Step-by-step explanation:
x + 5y = 8
3x = 24 - 157
3x = 24 - 157
3x = -133
x = [tex]-\frac{133}{3}[/tex]
x + 5y = 8
[tex]-\frac{133}{3}[/tex] + 5y = 8
5y = [tex]\frac{157}{3}[/tex]
y = [tex]\frac{157}{15}[/tex]
(b) x - 4x2 + x + 6
Answer:
bx-4x^2+x+6
Step-by-step explanation: