If an object is projected upward with an initial velocity of 48 ft per second from a height h of 64 ft, then its height t seconds after it is projected is defined by the equation f(t) = -16(t) with superscript (2) + 48t + 64. How many seconds after it is projected will it hit the ground?
Answer:
4 seconds
Step-by-step explanation:
Given that :
Height of a projected object is modeled by:
f(t) = - 16t² + 48t + 64
t = height
How many seconds after projection will it hit the ground ;
When the projectile hits the ground ; t = 0
f(t) = - 16t² + 48t + 64
f(t) = 0
- 16t² + 48t + 64 = 0
Divide through by - 16
t² - 3t - 4 = 0
t² - 4t + t - 4 =0
t(t - 4) +1(t - 4) = 0
(t +1) = 0 or (t - 4) = 0
t = - 1 or t = 4
t can't be negative ;
Hence, the projectile will hit the ground after 4 seconds
Volunteers at Sams school use some of the student councils savings for a special project.They buy 4 backpacks for $9 each and fill each backpack with paper and pens that cost $5.By how much did the student councils savings change because of this project?
Answer: The student councils savings change by $41.
Step-by-step explanation:
Number of backpacks = 4
Cost of each backpack = $9
Paper and pen costs = $5
Total spending = (Number of backpacks ) x (Cost of each backpack ) + (Cost of paper and pen)
= $ (4 x 9 +5)
= $ 41
Hence, the student councils savings change by $41.
Diego is thinking of two positive numbers, if we triple the first number and double the second number the sum is 34. Diego then says, "if we take half of the first of the first number and double the second number, the sum is 34. What are Diego’s two numbers?
Answer:
1st number: 0
2nd number: 17
Step-by-step explanation:
3x+2y=34 x is the first number, y is the second.
1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.
x+4y=68 solve for x.
x=68-4y add this into the first equation to solve for variable y.
3(68-4y)+2y=34 solve for y.
204-10y=34
-10y= -170
y=17
now to solve for x
x= 68-4(17)
x= 0
Answer:
:)
Step-by-step explanation:
(10,2)
(4,11)
(Volume/capacity words problems)
Everyday I drink 0.75 gallons of milk.how many liters of milk do I drink in 4 weeks
A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?
Answer:
4 weeks
Step-by-step explanation:
5,600/200 = 28
28/7 = 4
Answer:
4 weeks
Step-by-step explanation:
200x7=1400
5600/1400=4
The table displays the total cost, y, of purchasing x tickets for the carnival.
A 2-column table with 3 rows. Column 1 is labeled Tickets, x with entries 11, 12, 13. Column 2 is labeled Total Cost, y (dollars) with entries 27.50, 30.00, 32.50.
Answer:
A, C, D
Step-by-step explanation:
Which conclusions can you draw from the data shown in the table? Select all that apply.
Twelve tickets cost $30.00.
Thirty tickets cost $12.00.
Each additional ticket costs $2.50.
The table is a partial representation.
(27.50, 11), (30, 12) and (32.50, 13) are the ordered pairs represented in the table.
help please i need help
Answer:
m=(2,0)................
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Points (0,0) and (2,1)
[tex]x_{1} =0\\x_{2} =2 \\y_{1} =0\\y_{2} =1[/tex]
[tex]m=\frac{changein (y)}{change in (x)}[/tex]
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-y_{1} }[/tex]
[tex]m=\frac{{1}-(0) }{2-(0)}[/tex]
Simplify
[tex]m=\frac{1}{2}[/tex]
Margaret and Miguel are shopping at a fruit stand. Margaret buys threes apples and two bananas and pays $1.90. Miguel buys two apples and five bananas and pays $2.00. Assuming that the fruit is priced per piece and not by weight, and that no sales tax is charged, find the price of one apple and one banana. Give your answer as an ordered pair (A, B), where A is the cost of one apple and B is the cost of one banana. Do not include the dollar sign with your answer.
Answer:
♀️no se lo que dises
Look at the number 451,433. What place is the 5 in?
Answer:
Step-by-step explanation:
the 10,000's column
hope this helped :)
Answer:
[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]
Mr. Yoshi has 75 papers. He graded 60 papers and he had a student teacher grade the rest. What percent of the papers did each grade
Answer:
Student=20%
Teacher=80%
Step-by-step explanation:
60/75 x100
= 80
100-80
=20
Ari exercises 1 5/8 hours per day. If he exercises five days a week, how many total hours does he exercise in a week?
HELPP\ PLEASE / QUICKLY !!!!!!!\
Answer:
8.125
Step-by-step explanation:
Just do 1 and 5/8 times 5
Answer:
8 1/8 hours a week
Step-by-step explanation:
I 5/8 times 5 gives me the product of 8.125. After converting that to a mixed number, you get 8 1/8.
You're welcome.
Simplify:
A.
B.
C.
D.
Answer:
D. [tex] \frac{79}{6} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{7}{2} - \frac{1}{3} \bigg).( - 2)^{2} + \frac{1}{2} \\ \\ = \bigg( \frac{7 \times 3 - 1 \times 2}{2 \times 3} \bigg).4 + \frac{1}{2} \\ \\ = \bigg( \frac{21 - 2}{6} \bigg).4 + \frac{1}{2} \\ \\ = \frac{19}{6} \times 4 + \frac{1}{2} \\ \\ = \frac{19}{3} \times 2 + \frac{1}{2} \\ \\ = \frac{38}{3} + \frac{1}{2} \\ \\ = \frac{38 \times 2 + 1 \times 3}{3 \times 2} \\ \\ = \frac{76 + 3}{6} \\ \\ = \frac{79}{6} [/tex]
Convert the following repeating decimal to a fraction in simplest form.
.72
Answer:
The real answer is 8/11
Step-by-step explanation:
The fractional value of 0.72 is 18/25.
What is Decimal?A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole.
A decimal number comprises two parts: a whole number component and a fractional component. The decimal place value system is the same as the whole number value system for the whole component of a decimal number.
Given:
We have the decimal number 0.72.
Now, we can remove the decimal and put the number of zeroes in the denominator.
So, 0.72
= 72/100
Now, simplifying the fraction as
= 36/ 50
= 18/25
Now put decimal point ahead of two number from the numerator.
So, 37/100 = 0.37
So, the decimal is 0.37.
Learn more about decimal here:
https://brainly.com/question/29765582
#SPJ2
Please Help Me!!!! ;)
Answer:
Value of x: 110
Step-by-step explanation:
5+5=10
120-10=110
Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. The intersection of lines d and c form angles: 1, 2, 4, 3. The intersection of lines f and c form angles 5, 6, 8, 7. The intersection of lines e and d form angles 9, 10, 12, 11. The intersection of lines f and d form angles 13, 14, 16, 15.
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.
m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°
Answer:
The correct answers are A, B, D, and F
Step-by-step explanation:
I just took the test ( i hope this helps!!! )
Answer:
a, b, d, f
Step-by-step explanation:
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
If
[tex] \cos(330) = \frac{ \sqrt{3} }{2} [/tex]
Prove that:
[tex] \tan(165) = \sqrt{3} - 2[/tex]
Please solve this question.
Answer: see attachment
Step-by-step explanation:
Given: cos 330 = √3/2
Prove that tan (165) = √3 - 2
Step-by-step explanation:
cos330° = cos(360° - 30°) = cos(2π - 30°)
Using, cos(2π - x) = cosx, x < 90°
=> cos(2π - 30°)
=> cos(30°)
=> √3/2 , proved
(ii): tan(165°) = tan(180° - 15°) = tan(π - 15°)
Using, tan(π - x) = - tanx
=> tan(π - 15°)
=> - tan15°
=> - (-√3 + 2)
=> √3 - 2 proved
For tan15° :
Using, tan2x = 2tanx/(1 - tan²x)
tan30° = 2tan15°/(1 - tan²15°)
1/√3 = 2tan15° / (1 - tan²15°)
1 - a² = 2√3 a {a = tan15°}
Solving this we get, a = -√3±2
As a = tan15°, it can't be -ve, thus
a = tan15° = -√3 + 2
Use the picture below to answer Problems 1 and 2.
1. Describe a sequence of translations that would map Figure H onto Figure K.
2. Describe a sequence of translations that would map Figure ) onto itself.
Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.
⃗⃗⃗⃗⃗⃗
Translate Figure H along vector , and then
⃗⃗⃗⃗⃗⃗ translate the image along vector .
⃗⃗⃗⃗⃗⃗
Translate Figure H along vector , and then
⃗⃗⃗⃗⃗⃗ translate the image along vector .
2. Describe a sequence of translations that would map Figure J onto itself.
⃗⃗⃗⃗⃗⃗
Translate Figure J along vector , and then
⃗⃗⃗⃗⃗⃗ translate the image along vector .
⃗⃗⃗⃗⃗⃗
Translate Figure J along vector , and then
⃗⃗⃗⃗⃗⃗ translate the image along vector .
Step-by-step explanation:
I need help pls!!! Eeeeeek
Answer:
first
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?
Answer:
It equals -2
Step-by-step explanation:
please HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=1/2x-1 1/2 = Proper fraction
y=1/2x-3/2= improper fraction
y=x-2 = integer
Step-by-step explanation:
Plzzz answer urgently willark brainliest and will also follow plssss
Answer: THE LENGTH OF AB IS 13CM
Step-by-step explanation:
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write an Equation that represents the lines
Answer: The answer is Y=3/4x -4.5
Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5
Help me please !!!!!!!!!!!!!!
Answer:
-8
Step-by-step explanation:
All the other numbers like z=-3 and w=4 is all to trick you they aren't used. They put them there because it makes it harder to focus on one number and it throws you off. It's just doing the math by replacing the "x" with -1 and boom you have your answer!
Hope This Helps!!! Have a great day!!!
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what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction
PLSSS SOMEONE ANCWEE THISS BEGGINGG.
Answer:
The sum of zeros is [tex]\frac{61}{6}[/tex]
Step-by-step explanation:
The Rule of Zero Product
The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:
If a.b=0, then a=0 or b=0
The equation
(m-10)(6m-1)=0
can be solved by applying the mentioned rule:
[tex]m-10=0 \ \ \Rightarrow m=10[/tex]
[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]
The sum of both solutions is:
[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]
The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]
Identify the parent function.
y
LO
-5
5
-5
Can somebody plz help?
Answer: 40/20
Step-by-step explanation: 8/10 x 5/2 = 40/20 or you can say 2, you got to flip the equation
Which of the following expressions does not mean the same as the other three?
A.x+(-17)
B.-17 + x
C.x-17
D.x- (-17)
Which box plot has the most variability A,B,C,D
reply with anything :D
Answer:
anything :D
Step-by-step explanation: