Answer:
1)27.25 feet
2)-0.2774,2.027
3)Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
Step-by-step explanation:
The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]
General quadratic equation : [tex]ax^2=bx+c=0[/tex]
1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]
To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation
[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]
2)
Substitute h(t)=6
So, [tex]-16t^2+28t+15=6[/tex]
[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]
3)
Domain = All real numbers
Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]
2x3x5b work this out please
9. f(x) = x2 - 49, g(x) = x + 7
Answer:
(x^(2)-49)/(x-7)
Step-by-step explanation:
Did it.
can anyone help. me pass
228:4 as a unit rate
Step-by-step explanation: 228/4 = 57, so 57/1 = 57:1.
Answer:
57: 1
Step-by-step explanation:
You take 228 divided by 4 which will give you 57 you do it to this side so you did the same thing to the other which mean you take 4 divided by 4 which is 1 therefore the unit rate is 57: 1
Math assignment cant get it
Answer:
y = -1/2x + (-1)
Step-by-step explanation:
A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide
Answer:
30 inches long
Step-by-step explanation:
width=5
length=6x5
6x5=30
length=30
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answer:
the probability is 2 out of 4
Step-by-step explanation:
The point P(6, -1) is translated according to the rule , y) - (1-5, y-2).
What are the coordinates of P'?
O P(1, 2)
O P'(1, 1)
OP'(1, -3)
P'(4, 4)
Answer:
C
Step-by-step explanation:
Took quiz
If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12
Step-by-step explanation: -1.8 rounds up to -1. -2 x -1 = 2, 2+8 = 10.
Answer:
well I know its not 4
Step-by-step explanation:
I got it wrong in my quiz
But it will sure be appreciated if someone can give the correct answer.
Thank you all and I hope you all have a wonderful day :)
2.
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What is the Scale Factor?
21 in
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6 in
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20 pts, try to find short story and novel pages, A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?
Short Story:
Novel:
Answer:
short story has 32 pgs
novel has 416 pgs
Step-by-step explanation:
a novel (N) has 13 times as many pages as a short story (x) so, N = 13X
total pages is the equation N + x = 448
plug the equation for N into this
13x + x = 448, combine like terms
14x = 448, divide both sides by 14
x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.
There are 32 pages in the short story and 416 pages in the novel.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Let x be the number of pages in the short story.
We know that the novel has 13 times as many pages as the short story, so the number of pages in the novel is 13x.
The combined number of pages in the books is the sum of the number of pages in the short story and the number of pages in the novel, which is x + 13x = 14x = 448 pages.
So the number of pages in the short story is x = 32 pages.
And the number of pages in the novel is 13x = 13 × 32 = 416 pages.
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Caitlin drew a scale drawing of the community park in her town. The actual
long.
What scale did Caitlin use to draw the park?
o 1 inch equals 4 feet
4 inches equal 4 feet
o 1 inch equals foot
4 inches equal 1 foot
Answer: 1 inch equals 4 feet
Step-by-step explanation:
By an online search, I´ve found that:
The park is 48 ft long.
Caitlin´s drawing is 12 inches long.
To find how much each inch represents, we need to take the quotient between those lengths:
48ft/12in = 4ft/in.
We also can write this amount as:
4 feet per inch.
This means that each inch represents 4 feets.
Then the correct option is the first one: 1 inch equals 4 feet
John is x years old, Ahmad is 3 years older than John. The total of their age is 63 years. Form and equation and work out the age of Ahmad.
Answer:
x = john
x + 3 = ahmad
x + (x + 3) = 63
2x + 3 = 63
2x = 60
x = 30
john is 30 so ahmad is 33
The recipe for 1 batch of cookies calls for ¾ cups of sugar. How many cups of sugar do you need for ½ a batch of cookies?
Answer:
3/8 cups of sugar.
Step-by-step explanation:
By multiplying the denomintor by 2 you can get half of what it was.
Find the next number in the sequence.
25, 36, 49, 64, ...
Answer:
81
Step-by-step explanation:
25, 36, 49, 64, ...
36 - 25 = 11
49 - 36 = 13 = 11 + 2
64 - 49 = 15 = 13 + 2
64 + 15 + 2 = 81
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent
Answer:
It represents no total profit
Step-by-step explanation:
The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)
The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?
Answer:
A. (1/2)(4+i)= 2+ (1/2)i
Step-by-step explanation:
The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 4+i
Multiply it by 1/2
[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]
[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]
Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
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Help me with my review please
Michael walks 30 meters in 20 seconds. How many meters does he walk per second?
Answer:
1.5 meters per second
Step-by-step explanation:
30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:
30/20 = 1.5
Answer: 1.5 meters
Step-by-step explanation:
To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...
30 meters ÷ 20 1.5 meters
-------------- = -----------------
20 seconds ÷ 20 1 second
This is a fancy was of saying 1.5 meters per 1 second.
What is - 1/9 (-27) please with work shown?
At a hardware store, they can cut a length of rope off of a big roll, so you can buy any length you like. The cost for 6 feet of rope is $7.50. How much would you pay for 50 feet of rope, at this rate?
Answer:
It should be 62.5 or 62.50.
Step-by-step explanation:
Here's why..........it would be very difficult to it another way so here is what I did....you have to find out how much 1 foot would cost which was 1.25 then multiply that by 50 and you will get 62.50.
During a winter sale,skirts are 15$ each and trousers and 20$ each. The skirts and trousers Shelly can buy for 100$
Answer:
plz i need help
Step-by-step explanation:
Find the slope! I really need help fast
Answer:
C
Step-by-step explanation:
goodluck
Manuel makes $8 per hour. He has worked 12 hours so far this week. How much has he made so far this week? Write an algebraic expression that describes how much he makes for any number of hours of work.
Answer:
Step-by-step explanation:
amount earned in 1 hr = $8
therefore, amount earned in 12 hrs = 12 x 8 = 96
let the amount earned in 1 hr be x
therefore, the amount earned in 12 hours = 12x
Hope this helps
plz mark as brainliest!!!!!!
What is the value of x?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVvT0UyU0RMRzdOZ2ZYb09yLVZCWUN3TDBDSTMyRFlnekd1S0I2WGQxbzU1ZXRxaXBHak9PWmZIR2F0X2NpdVg0N3l4dkx4Z1NUZ1lnOXp4bjUwQklLRks5R244Zy5tV0Zwb1JlcWJWNVV5Qmdt?w=400&h=400
a
x=24
b
x=48
c
x=66
d
x=132
Answer:
I THINK U ANSWERED IT ON YOUR OWN
Step-by-step explanation:
Answer:
mark me braniest
Step-by-step explanation:
A BMW I-8 has N advertised rate of acceleration of 6.39 m/s to the second power. Based in the advertised date of acceleration, what would the velocity of a bmw I-8, starting from rest, in 4.20 seconds
Answer:
3.43
Step-by-step explanation:
27 Which equation best represents the relationship between x and y in the graph?
А у 3х + 3
в у 3х - 1
суз
0 - 3x - 1
Answer:
Pls attach graph
Step-by-step explanation:
four equals the difference of eight and a number and the result is divided by four
Answer:
(8-n=4)/4 click brainliest please and click thanks
Step-by-step explanation:
The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Difference of 8 and a number x = 8 - x
4 equal to 8 - x
4 = 8 - x
Now,
The result is divided by 4
Therefore,(4 = 8 - x)/4
Hence "The mathematical expression which represents the phrase four equals the difference between eight and a number and the result is divided by four is (4 = 8 - x)/4".
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PLEASE HELP!!!
Find the angle measures and explain
1.43 x -20/39 is close to -.075. Is this estimate reasonable? The product is negative and half of ?
Answer:
yes, that is correct
Step-by-step explanation:
- (20÷39) = - 0.513
- 0.513 * 1.43 = - 0.734 ~ - 0.75