Answer
The slope of the function is 5.
Step-by-step explanation:
To begin a basketball game, a referee msut toss the ball vertically into the air. This process can be modeled by the equation h(t) = -16t^2+22t+6, where h represents the ball's height (in feet) after t seconds. Determine the time interval (in seconds) in which the height of the basketball is 8 feet. Round your answer to the nearest thousandth of a second
Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
Solve.
25 ‒ (‒ 42) =
A.
67
B.
17
C.
‒17
D.
‒67
Answer:
You are Correct!!!
Step-by-step explanation:
Please help me i don't understand. I will give points for explanation too.
Answer:
The first one
Step-by-step explanation:
4x - 3y = 15 .first you subtract the 4x from both sides to get it in correct form
-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y
y = 4/3x - 5 . Then you are left with this answer
Answer:
y = 4/3x - 5 (first answer on your photo)
Step-by-step explanation:
4x - 3y = 15
4x - 3y = 15 (we use -4x)
-3y = 15 - 4x (divide by -3)
y = 4/3x - 5
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
-5x - 25 = 78
Step 1:-5x - 25 -25 = 78 - 25
Step 2: -5x = 53
Step 3:-5x/-5 = 53/-5
step 4: x = -53/-5
a step 1: She should have added 25 to each side
b step 1: She should have divided both sides by -5.
c step 3: She should have divided both sides by -5.
d step 3: She should have multiplied both sides by -5.
Answer:
A
Step-by-step explanation:
It's A because she subtracted a negative and that only make a bigger negative where she should have added
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
Learn more here: https://brainly.com/question/24437791
If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?
Answer:
The answer would be 20cm.
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
gradient= change in y/ change in x
-4--5/2--4= 1/6
1/6 is the gradient
The gradient of the line segment in its simplest form is: 1/6.
What is the Gradient of a Line Segment?Gradient of a line segment = slope.Slope (m) = change in y / change in x.Given the following points, (-4,-5) and (2,-4) are on a line segment:
Gradient (m) = change in y / change in x
Gradient (m) = (-4 -(-5))/(2 -(-4))
Gradient (m) = 1/6
Therefore, the gradient of the line segment in its simplest form is: 1/6.
Learn more about gradient of a line segment on:
https://brainly.com/question/1413251
Prove that ABCD is a rectangle.
A = (-4, 4)
B = (0,5)
C = (1, 1)
D = (-3,0)
Answer:
Draw it on a graph sheet
how do you turn 0.03 into a fraction if the 3 is repeating
Answer:
it is 1/30
Step-by-step explanation:
Lets say x =0.03 repeating
100x=3.3333....
- 10x=0.333....
_____________
90x=3
Then divide both sides by 9 to get x:
x=3/90
simplify:
x=1/30
can somebody help me with this please.
I don't know what number 1 and number 2 mean,
3：11
4
5：-3
6：-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.
The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain
Answer:5/14
Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered
tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags
Answer:
6 x 9 is 54
Step-by-step explanation:
54 bags because, it says each so your multiplying.
Please help I need help fast
Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
ARIANA Y SU FAMILIA HAN CONCRETADO UN PROYECTO FAMILIAR DENOMINADO INTALACION DE UNA GRANJA RN LA QUE CREIAN CORDONICES . ELLOS VENDEN LOS HUEVOS EN CAJA DE 20 UNIDADES . SI LA ULTIMA VEZ VENDIERON 27CAJAS ¿CUANTOS VENDIERON EN TOTAL?
Answer:
540 unidades
Step-by-step explanation:
De la pregunta,
Los huevos se venden:
1 caja = 20 unidades
La última vez que vendiste 27 cajas. Por lo tanto,
1 caja = 20 unidades
27 cajas = x unidades
Cruz multiplicar
x = 27 × 20 unidades
x = 540 unidades.
Por lo tanto, se vendieron 540 unidades de huevos en total.
what is 1.54x10^21 in scientific notation
Answer:
Scientific notation: 1.54 x 10^21
Scientific e notation: 1.54e21
Real number: 1540000000000000000000
Rotate AXYZ 270° about the origin, (0,0).
Answer:
The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
Factoriza la siguiente expresión 25
x2−4
Answer:
english pls
Step-by-step explanation:
What would this be? PS it's multiple choice.
Answer:
I think it would be A. the first one
Step-by-step explanation:
tell me if it was correct if it wasnt im sorry hope i dont mess u up
A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?
[tex]28-(3x+4)=2(x+6)+x[/tex]
Answer:
-47
Step-by-step explanation:
It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answer:
the number 3 is being subtracted from it because you want to get by itself
Write the equation that models the linear relationship
Answer:
is it degrees
Step-by-step explanation:
?
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5
what is simplified expression for the expression below? 4(x+8)+5(x-3)
A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47
4(x+8)+5(x-3)
4x+32+5x-15
9x+17
Joseph deposits $950 every month into an account earning a monthly interest rate of 0.5%. How much would he have in the account after 19 months, to the nearest dollar?
Answer:
I think, 18,058 dollars.
Step-by-step explanation:
What is the y-intercept and x-intercept of 2x + y = 10x - 1
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
Joan wants to start an IRA that will have $860,000 in it when she retires in 29-years. How much should she invest annually in her IRA to do this if the interest is 8% compounded annually?
Answer:
Annual deposit= $8,271.94
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $860,000
Number of periods= 29 years
Interest rate= 8% = 0.08
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (860,000*0.08) / [(1.08^29) - 1]
A= $8,271.94