Final answer:
The projectile reaches its maximum height after 22 seconds, which is determined by the vertex formula t = -b/(2a) applied to the given quadratic function representing the height over time.
Explanation:
To determine after how many seconds the projectile reaches its maximum height, we need to analyze the function h(t) = -16t2 + 704t. This is a quadratic function, and the maximum height will be reached at the vertex of the parabola represented by this function.
The vertex of a parabola given by ax2 + bx + c can be found using the formula t = -b/(2a), where a, b, and c are coefficients from the quadratic equation. In this case, a = -16 and b = 704.
Using the formula to find the time t when the projectile reaches its maximum height, we calculate: t = -704/(2 × -16) = 704/32 = 22. Therefore, the projectile reaches its maximum height after 22 seconds.
An mp 3 player costs $60. If a 6.75% sales tax is add, what is the total cost?
To find the total cost, multiply the price of the player by 1 + sales tax.
60 x 1.0675 = 64.05
The total cost would be $64.05
Answer: 70$$
Step-by-step explanation: Im smart
What is the inverse equation of the function, y=5x-4
Answer:
y^-1 = (x + 4)/5
Step-by-step explanation:
To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:
→ y = 5x - 4
→ x = 5y - 4
Now, solving for 'y':
→ x = 5y - 4
→ x + 4 = 5y
→ y = (x + 4)/5
therefore, the inverse equation is: y^-1 = (x + 4)/5
Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20?
Answer:
I think 15/20
Step-by-step explanation:
If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.
Hope i have helped you!
Which expression is equivalent to −1/12x−1/3 ?
1/12(−x+4)
1/12(−x−1/4)
1/12(−x−1/3)
1/12(−x−4)
The answer is the last one, 1/12(-x-4).
Explanation:
somebody help me please
Answer:
Here is the answer with the steps
Step-by-step explanation:
Hope you liked it!!
Which graph represent the equation y=-2
Answer:
The top left graph.
Step-by-step explanation:
That is because it goes through y=-2
Final answer:
To find the total cost per mile to rent the car, add the rental cost for 5 days to the gasoline cost, then divide by the miles driven. Ruth Barr's total cost per mile was approximately $0.3785.
Explanation:
To calculate the total cost per mile to rent the car, we need to add the cost of renting the car for 5 days to the cost of gasoline and then divide the sum by the number of miles driven.
Calculate the rental cost for 5 days: 5 days × $59.95/day = $299.75.
Add the cost for gasoline: $299.75 (rental cost) + $137.76 (gasoline) = $437.51.
Divide the total cost by the number of miles driven: $437.51 ÷ 1156 miles = approximately $0.3785 per mile.
The total cost per mile Ruth Barr spent to rent the car was approximately $0.3785.
how do i divide fractions ΓΓΓ
Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.
1/2 divided by 1/3
To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.
Question 7 (2 points)
Which theorem or postulate proves that ATNI is similar to AMNA?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
SSS Similarity Theorem
which value makes this equation true -4x = 20
Answer:
x= -5 makes the given equation -4x = 20 true
Step-by-step explanation:
We have been given the equation;
-4x = 20
we are to determine the value of x that will make the equation true. We simply make x the subject of the formula;
divide both sides of the equation by -4;
(-4x)/(-4) = 20/(-4)
x = -5
Therefore, x= -5 makes the given equation -4x = 20 true
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
The given linear equation is:
-4x = 20
To find the value of x that makes the equation true, we need to solve for x.
We divide both sides by -4 to obtain:
[tex]\frac{-4x}{-4}=\frac{20}{-4}[/tex]
This is the sane as:
[tex]\frac{-4x}{-4}=\frac{-5\times-4}{-4}[/tex]
We cancel out the common factors to get:
[tex]x=-5[/tex]
What is the measure of ced?
Answer:
212°
Step-by-step explanation:
We have the measure of CE and the measure of ED, so all we have to do is combine those two to get the measure of CED.
The arc CE measures 52 degrees.
The arc ED measures 160 degrees
The arc CED is the sum of arc CE and ED, so:
CED = 52° + 160° = 212°
We don't have any length measurement inside that circle to calculate the length of the arc CED in inches, centimeters or otherwise... so we can only measure it degrees.
6. When making adjusting entries, which account is never affected?
A. Capital
B. Withdrawal
C. Fees Expense
D. Cash
It never affects D. Cash
Answer:
Cash is never affected.
Step-by-step explanation:
When making adjusting entries, cash is never impacted.
Adjusting entries means to make the account up to date at the end of the accounting period.
All adjusting entries affect a minimum of one income statement account and one balance sheet account, but this never affects cash.
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30.
There is a % chance that more than 250 books were borrowed in a week.
Answer:
There is a 2.275% chance that more than 250 books were borrowed in a week.
Step-by-step explanation:
Let the random variable X denote the number of books borrowed from the library each week. Then from the information given;
X is normally distributed with a mean of 190 and a standard deviation of 30.
We are required to determine the probability that more than 250 books were borrowed in a week;
This can be written symbolically as;
Pr(X > 250)
The first step is to determine the z-score associated with the value 250. This is obtained via standardizing X;
Pr(X > 250) = [tex]Pr(Z>\frac{250-190}{30})=Pr(Z>2)[/tex]
This is simply the area to the right of 2 in a standard normal curve. From the standard normal table, this area is; 0.02275
As a percentage this is equivalent to 2.275%
To find the probability of borrowing more than 250 books, calculate the Z-score and use a standard normal distribution table to find the corresponding percentile. Subtract this percentile from 1 to obtain the desired probability.
Explanation:The question involves using the properties of a normal distribution to find the probability that more than 250 books were borrowed in a week, given that the mean number of books borrowed is 190 and the standard deviation is 30. To determine this probability, one would calculate the Z-score for 250 books and then refer to a standard normal distribution table or use a calculator with normal distribution functions to find the area under the curve to the right of this Z-score.
To calculate the Z-score, we use the formula:
Z = (X - μ) / σWhere X is the value of interest (250 books), μ is the mean (190 books), and σ is the standard deviation (30 books).
Calculating it gives:
Z = (250 - 190) / 30Z = 60 / 30Z = 2The Z-score of 2 corresponds to a certain percentile in the standard normal distribution, which indicates the probability that a sample has a value less than 250. To find the probability of a value being more than 250, one would subtract this percentile from 1.
Sally's $8,800 savings is in two accounts. One account earns 2% annual interest and the other earns 6%. Her total interest for the year is $440. How much does she have in each account?
Answer:
In the 2% account, Sally has $2200 and in the 6% account, Sally has $6600.
Step-by-step explanation:
Suppose the amount invested at 2% is $X and the amount invested at 6% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8800 (The sum of investments is basically the total income).
0.02X + 0.06Y = 440 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8800 (Equation 1)
2x + 6y = 44000 (Equation 2)
From (Equation 1):
x = 8800 - y (Equation 3)
Put (Equation 3) in (Equation 2):
2(8800 - y) + 6y = 44000.
17600 - 2y + 6y = 44000.
4y = 26400
y = 6600.
To find x, substitute y = 6600 in equation 3. This gives:
x = 8800 - y.
x = 8800 - 6600.
x = 2200.
So in the 2% account, Sally has $2200 and in the 6% account, Sally has $6600!!!
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 7.4% per hour. How many hours does it take for the size of the sample to double
Answer:18.12
Step-by-step explanation:
What is the point slope form of a line with slope -5 that contains the point (2,-1)?
A.y+1=-5(x-2)
B.y-1=5(x+2)
C.y-1=-5(x-2)
D.y+1=5(x+2)
Answer:
a
Step-by-step explanation:
20 POINTS- ANSWER IF YOU KNOW
A rectangular hotel swimming pool is sixty feet long, twenty-five, and seven feet deep. How much water will the swimming pool hold if it is only filled six feet deep?
Answer: It will hold 9,000 gallons (I'm guessing as that is the stand unit of water for something like this)
Step-by-step explanation:
60 * 25 = 1,500
1500 * 6 = 9000
Answer:
9000 feet cubed
A circular pool with a 10 foot diameter is surrounded by a deck.
What is the area of the deck which surrounds the pool? Use 3.14 for pi
Answer:
Step-by-step explanation:
the a square deck as a whole area is 225
side^2 so 15^2
the circles area is 78.54
area of circle formula= pi(r^2)
if you subtract the circle from the squares area you get the outside.
area of deck= 146.46
Answer:
146.5 or option A
Step-by-step explanation:
edg 2021
Help please and explanation please
For this case we must add the given series. We expanded the series for each of the values of i, that is, from 1 to 5:[tex]3 (1) +3 (2) +3 (3) +3 (4) +3 (5) =\\3 + 6 + 9 + 12 + 15 =[/tex]
We add the terms:
[tex]9 + 9 + 12 + 15 =\\18 + 12 + 15 =\\30 + 15 =\\45[/tex]
Finally, the value of the given series is 45.
Answer:
45
solve and graph each inequality please helo this is due tomorrow please 15 points!!
Answer:
12.)a>/=-4
15.)b</=2/3
cant graph sorry
Step-by-step explanation:
If t>0 and t2−25=0, what is the value of t?
Answer:
Final answer is [tex]t=5[/tex].
Step-by-step explanation:
Given equation is [tex]t^2-25=0[/tex].
Now we need to solve that equation for t when [tex]t>0[/tex].
[tex]t^2-25=0[/tex]
[tex]t^2-5^2=0[/tex]
[tex](t+5)(t-5)=0[/tex]
or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]
or [tex]t+5=0[/tex], [tex]t-5=0[/tex]
or [tex]t=-5[/tex], [tex]t=5[/tex]
Given that t>0
so that means t=-5 is not possible.
Hence final answer is [tex]t=5[/tex].
Do 2 ratios form a proportion???
They form a proportion when both of the ratios are equivalent.
An example: 3/15 and 1/5 is a proportion because the are equivalent.
The reason why they are equivalent is because if you cross multiply meaning doing 3*5 which equals 15 and 15*1 which equals 15 so basically you multiply the numerator by the other fractions denominator and do the same for the other side and see if the numbers are the same if they are not the same they are not a proportion if they are the same they are a proportion.
Hope this helps!
Answer:
yes
Step-by-step explanation:
because you can set them up as a fraction too. example;
2/3 is the same as 2:3, with which you can set equal to another thing and solve
find the greatest common factor of the following monomials 6u6 32u 38u2
Answer:
2u
Step-by-step explanation:
Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi.
Answer:
196 pi
Step-by-step explanation:
Equation for Surface Area = 4 pi r^2
r = 14/2 = 7
4(7^2)pi
(4)(49)pi
196pi
Brian received a phone call today asking him to donate to a disaster relief found.
Answer:
Option B
Step-by-step explanation:
It is always wise to ask who or what the organization is asking. Always be safe.
Answer:
I would 100% go with
"Option B. Ask for the name of their organization and look for information about them to make sure they're authentic before he donates"
Step-by-step explanation:
That was the only logical decision, because for D. you can't just hope for the best and donate "blindfolded". A. was really not a smart decision because if you give someone your credit card number, they could easily take all the money they wanted off of it and put you in loads of debt. And then for C., it was the same with D., you can't just donate to an organization or charity fund when you have no idea if it's a probable cause or not. So, in conclusion "Option B." is your best and most logical answer.
Point S is _____.
1.inside the circle
2.on the circle
3.collinear with the diameter AC.
4.outside the circle
Answer:
point s is inside the circle.
Point s is inside the circle
need help fast !!!!!!!!!!!!!!!!!!!
f(30)= 14-0.5(30)
f(30)= 14-15
f(30)= -1
Answer is f(-30)= -1
ANSWER
[tex]f(30) = - 1[/tex]
EXPLANATION
The given expression is
f(x)=14-0.5x
We want to finfmd f(30).
We substitute x=30 into the expression to obtain:
[tex]f(30)=14-0.5(30)[/tex]
Multiply out the last term to obtain,
[tex]f(30)=14-15[/tex]
Simplify to get,
[tex]f(30)= - 1[/tex]
x to the 2nd power +2-4x
What is the question being asked here?
Answer:
x² - 4x + 2 = (x - 2)²
Helpppppppp!!!!!!!!!! PLEASE
A) a'(0,-4), b'(2,-1), c'(3,-5)
since the coordinates are only moved 5 units down, just reduce the y-coordinates by 5
1-5= -44-5= -10-5= -5does this have a. Proportional relationship
No, to be proportional, there would be a consistent pattern between x and y. For example 2 times 2.5 is 5. And 3 times 2 is 6. The ratio is not the same.
Mark is getting a smoothie. He can choose from three sizes, nine fruit flavors and three different juices. How many outcomes are possible?
Answer: 81 outcomes.
Step-by-step explanation:
Multiply all the choices together.
3x9x3=81 outcomes.
Hope this helps!
Answer:
In total there are 81 possible combinations.
Step-by-step explanation:
You multiply all possible sizes by all possible flavors by all possible juices and you get your answer.
Have a nice day :]
3 times 9 times 3=81 combos