Answer:
2.15 seconds
Step-by-step explanation:
Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function
f(t)= -16t² + 32t + 5.2 where t is in seconds.
Note that the value of the height at the point the ball is released from the hand is 0 feet.
To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;
f(t)= -16t² + 32t + 5.2
-16t² + 32t + 5.2 = 0
Multiply through by 10
-160t² + 320t + 52 = 0
Dividing through by -4
40t² - 80t - 13 = 0
t = 80±√80²-4(40)(-13)/2(40)
t = 80±√6400+2080/80
t = 80±√8480/80
t = 80±92.09/80
t = 80+92.09/80
t = 172.09/80
t = 2.15 secs
Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.
Ummm are irrational numbers real numbers?
Answer:
Yes.
Explanation:
Irrational numbers are real numbers, they just aren't rational.
For example:
3.55555... and 4.31524363....
Answer:
A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number. ... Example: π (the famous number "pi") is an irrational number, as it can not be made by dividing two integers.
Step-by-step explanation:
hope this helps
The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x. Which equation represents the graph?
1. y = 10 – x
2. y = x – 10
3. y = –x – 10
4. y = 10 + x
PLS help!!!
Answer:
1. y = 10 - x
Step-by-step explanation:
Because he starts off with 10 dollars, and x is the amount he spends on an item, y is showing the change that he would get from paying with a 10 dollar bill, so it's what's left over from that 10 dollars.
Answer: the answer is A I just took the quiz
Step-by-step explanation:
reflection across y = 1
C(-1, 1), D(3, 4), E(4,0)
(Honors Geometry- 30 points!!!)
Answer:
C) (-1, 1)
D) (3, -2)
E) (4, 2)
Step-by-step explanation:
which is greater 7.6 or the square root of 55
Answer:
Step-by-step explanation:
7.6 is greater
(1 + 4i)^2
Solve please?
Answer:
-15 + 8i
Step-by-step explanation:
(1 + 4i)²
(1 + 4i) (1 + 4i)
FOIL - first -- outer -- inner -- last
F -- 1 x 1 = 1
O -- 1 x 4i = 4i
I -- 4i x 1 = 4i
L -- 4i x 4i = 16i²
combine terms
1 + 4i + 4i + 16i²
simplify
1 + 8i + 16i²
(i² = -1)
simplify further
1 + 8i + (16)(-1)
1 + 8i - 16
-15 + 8i
put it in standard form. 4x² + 3x³ - 6x
Answer:
3x^3+4x^2-6x
Step-by-step explanation:
Combine like terms to create an equivalent expression. -(4)/(7)p+(-(2)/(7)p)+(1)/(7)
Answer:
-6/7p + 1/7
Step-by-step explanation:
Like Terms: terms that have the same variables and powers
In this equation the like terms are -4/7p and -2/7p
First solve that, which will be -6/7p + 1/7
You have to leave the 1/7 alone because there aren't any more numbers with no variables.
Answer:
Step-by-step explanation:
You can only combine terms that are the same, which means you can only combine the fractions with p attached. A + and - make a -. The second fraction changes to negative or subtraction which ever way you want to say it. -4 - 2 = -6 and the bottom number always stays the same and you keep the letter attached. You can not combine 1/7 because it does not have a p attached. You would leave it the same. [tex]\frac{-6}{7}p +\frac{1}{7}[/tex]
Given that cos x° =Sin (3x +10)
find tan X°
Answer:
the answer is tan 20 =0.364
Step-by-step explanation:
we can write sin(3x+10)= cos{90-(3x+10)}
now
cosx= cos{90-(3x+10)}
eliminating cos from both sides we get
x=90-3x-10
4x=80
x=20
tan 20=0.364
it can be 40 also
if we take the sin part
what is used to draw and measure angle
Answer: measuring an angle can be done using a protractor and drawing an angle can be done with help of a scale and a compass or directly by a protractor
Step-by-step explanation:
Hope this helps you!!
Answer:
A protractor
Step-by-step explanation:
Just an easy answer!
Equivalent expressions for 24x - 12
Answer:
(3x−4)(8x−3)
Step-by-step explanation:
a number raised to the fourth power
Answer:
a number raised to the power fourth is given in the above picture. where, X is any number..
a two digit number is chosen at random. funny the probability that the number is less than 20
Answer:
2/20
probability =1/10
Answer:
[tex]\Large \boxed{\frac{1}{10} }[/tex]
Step-by-step explanation:
The two-digit numbers are :
10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.41.42.43.44.45.46.47.48.49.50.51.52.53.54.55.56.57.58.59.60.61.62.63.64.65.66.67.68.69.70.71.72.73.74.75.76.77.78.79.80.81.82.83.84.85.86.87.88.89.90.91.92.93.94.95.96.97.98.99.
There are 90 two-digit numbers.
The two-digit numbers less than 20 are :
10.11.12.13.14.15.16.17.18.19
There are 9 two-digit numbers that are less than 20.
P(two-digit number less than 20) = [tex]\frac{9}{90} =\frac{1}{10}[/tex]
Help!!(thank you so much)
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Or just subtract
9.884 * 10^6 - 1.009 * 10^7=
− 2.05999999 × 10^5
Rounded up is:
− 2.06× 10^5
(❁´◡`❁)
The shape of a dome can be modeled by the equation 2 h d =− + 2 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet?
Answer:
The distance from the centre of the dome is 2000 feet
Step-by-step explanation:
We have an equation representing the distance from the centre of the dome.
We can now make the subject of the formula.
d = 2100 -2(h)
We are asked to find the value of d when the value of h is = 50 feet.
To do this, we simply plug in the value for h into the equation and solve the equation.
d = 2100 - 2(50)
d = 2100 -100
d = 2000 feet.
Hence the distance from the centre of the dome is 2000 feet
Which inequality is equivalent to the statement below?
The opposite of n is between -3 and 0.
А
-3
00
3<-n<0
с
-3
D
3
Answer:
A
Step-by-step explanation:
The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.
kindly help me with this
Answer:
Rani's
Step-by-step explanation:
● Rani's shape is a regular hexagon
● The sides of a regular hexagon are the same length
Anita's shape has the longest side.
If m and n are off then is mn even?
Answer:
No, mn is not even if m and n are odd.
If m and n are odd, then mn is odd as well.
==================================================
Proof:
If m is odd, then it is in the form m = 2p+1, where p is some integer.
So if p = 0, then m = 1. If p = 1, then m = 3, and so on.
Similarly, if n is odd then n = 2q+1 for some integer q.
Multiply out m and n using the distribution rule
m*n = (2p+1)*(2q+1)
m*n = 2p(2q+1) + 1(2q+1)
m*n = 4pq+2p+2q+1
m*n = 2( 2pq+p+q) + 1
m*n = 2r + 1
note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.
The result 2r+1 is some other odd number as it fits the form 2*(integer)+1
Therefore, multiplying any two odd numbers will result in some other odd number.
------------------------
Examples:
3*5 = 157*9 = 6311*15 = 1659*3 = 27So there is no way to have m*n be even if both m and n are odd.
The general rules are as follows
odd * odd = oddeven * odd = eveneven * even = evenThe proof of the other two cases would follow a similar line of reasoning as shown above.
Help will 1,3,5,6!!!!!!!!!!
Problem 1
To convert from gallons to cups, we multiply by 16 since 1 gallon = 16 cups
Therefore, 4 gallons = 64 cups
==================================================
Problem 3
1 hour = 60 minutes
4 hours = 240 minutes (multiply both sides by 4)
==================================================
Problem 5
100 cm = 1 meter
1 cm = 0.01 meter (divide both sides by 100)
53 cm = 0.53 meter (multiply both sides by 53)
==================================================
Problem 6
1 foot = 12 inches
3 feet = 36 inches (multiply both sides by 3)
1 yard = 3 feet
1 yard = 36 inches
2 yards = 72 inches (multiply both sides by 2)
Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation that shows how many months , m , it will take for Jason weigh the same as Gerardo
Answer:
5 months
Step-by-step explanation:
Jason's original weight = 120 pounds
Let the no. of months be m
If he gains 10 pounds in each moth , then his weight in m months will be = 10m
His total weight will be= 120+10m -----(1)
Gerardo's original weight = 150 pounds
If he gains 4 pounds in each month , then his weight in m months will me =4m
His total weight will be = 150+4m-----(2)
Equating (1) ans(2)
120+10m=150+4m
=>10m-4m=150-120
=>6m=30
=>m=[tex]\frac{30}{6}[/tex]
=>m=5
It will take 5 months for Jason to weigh the same as Gerardo
need help dont know how to find the coordinates of D and how to find value of Y
Answer:
Y°= 115
D = (3,1)
Step-by-step explanation:
For y, your just looking through the vertex. essentially if its 115 on one side it's going to be the same on the other because it all has to be equal, and that's how vertex's work.
for D. Read the instructions and make a square
x goes first then y
The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments.
The amount of each monthly payment is $|
given the indicated terms of an arithmetic sequence a3=1, a33=22 find the first term
Answer:
The first term is a = 0.4.
Step-by-step explanation:
We are given the indicated terms of an arithmetic sequence; [tex]a_3[/tex] = 1, [tex]a_3_3[/tex] = 22.
As we know that the nth term of the A.P. is given by;
[tex]a_n=a+(n-1)d[/tex]
where, a = first term and d = common difference
Now, the third term of AP is given as 1, this means;
[tex]a_3=a+(3-1)d[/tex]
[tex]a+2d=1[/tex]
a = 1 - 2d --------------- [equation 1}
Also, the 33rd term of AP is given as 22, this means;
[tex]a_3_3=a+(33-1)d[/tex]
[tex]a+32d=22[/tex]
[tex]1-2d+32d=22[/tex] {using equation 1}
[tex]30d=21[/tex]
[tex]d=\frac{21}{30}[/tex]
d = 0.7
Putting the value of d in equation 1 we get;
[tex]a=1-(2 \times 0.7)[/tex]
a = 1 - 1.4 = -0.4
Hence, the first term of an AP is -0.4.
The three incoming currents at a
node in an electrical circuit
measure 0.38 amps, 0.75 amps,
and 0.29 amps. Two of the three
outgoing currents measure 0.48
amps and 0.6 amps. Find the
measure of the third outgoing
Current
PLS HELP
Answer:
Measure of the third outgoing current will be 0.34 ampere.
Step-by-step explanation:
Kirchhoff's Current Law states that total current entering a circuit's junction is exactly equal to the total current leaving the same junction.
By this rule,
Sum of input three currents = Sum of three outgoing currents
0.38 + 0.75 + 0.29 = 0.48 + 0.6 + i
1.42 = 1.08 + i
i = 0.34
Therefore, measure of the third outgoing current will be 0.34 ampere.
A pizza restaurant offers 6 toppings to choose from for their pizzas, and no toppings is considered a plain cheese pizza. How many different pizza topping combinations are possible if the maximum number of allowed toppings is 3 and toppings can't repeat
Answer: 120
Step-by-step explanation:
Given : Total toppings = 6
Number of toppings needs to be selected = 3
Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4 [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]
= 120
Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .
Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they add up to 74. Find these numbers.
Answer:
7 , 8 , 9
Step-by-step explanation:
Assume three consecutive number are,
x , (x+1) , (x+2)
Multiplied by 2 ,3 and 4 respectively
2x , 3(x + 1) , 4(x + 2)
Sum of all = 74
So,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 7
So,
x , (x+1) , (x+2)
7 , (7+1) , (7+2)
7 , 8 , 9
11 + x4 + 13x3 + 3 – 13.75 – 10.x² + 4x2 - 4x - 8x4
Answer:
-7x^4+13x³-6x²-4x+0.25
Step-by-step explanation:
Do you just have to combine like terms?
-7x^4+13x³-6x²-4x+0.25 (assuming I’m reading your exponent notation correctly)
D
Find the perimeter Of a
regular pentagon with sides 6cm
20cm
26cm
30cm
36cm
42 cm
Answer: To find the perimeter of a shape, we need to add the value of all of the sides. Here, we are given the values:
6cm
20cm
26cm
30cm
36cm
42 cm
All of these added together are equal to 160, so the perimeter of the shape is 160cm.
Answer:
perimeter = 160 cm
Step-by-step explanation:
perimeter = add all sides
perimeter = 6 + 20 + 26 + 30 + 36 + 42
perimeter = 160 cm
express each number in scientific notitatio 43,000= 0.0072= 0.0000901=
Answer:
43,000: 4.3×10^4
0.0072: 7.2×10^-3
0.0000901: 9.01×10^-5
Step-by-step explanation:
scientific notation: a×10^b, where should be 0<a<10
Step 1. Count the zeros
Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit
------------------------
43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)
0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)
0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)
Hope this helps!! :)
Please let me know if you have any question
I NEED HELP FAST PLEASE
Please Give me Brainliest, Thank You
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?
Answer:
3.25+5.50S≤30
and he can aford 16 pancakes
Step-by-step explanation:
i got the question right
The inequality that describes the situation is of:
[tex]3.25 + 5.5S \leq 30[/tex]
------------------------
The first step in building the inequality is modelling Benjamin's spendings.He buys a chocolate milk that costs $3.25, plus S stacks of pancakes, each at $5.50. Thus, in total, his spendings are of:[tex]T = 3.25 + 5.5S[/tex]
He wants the bill to be of at most $30, that is, his spending has to be at most $30, thus:[tex]T \leq 30[/tex]
[tex]3.25 + 5.5S \leq 30[/tex]
Which is the inequality that models the situation.
A similar problem is given at https://brainly.com/question/17495861