For the parabola:
h(t) = -at2 + bt, the maximum occurs at -b/2a
For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.
The projectile is at its highest point at 18 seconds.
what two numbers multiply to -36 and adds to 1?
The mall is located 2.4 kilometers north of jays house. The caffe shop is located 0.7 kilometers east of the mall. What is the distance between jays hair and the coffe shop
The distance between Jays hair and the caffe shop is 2.5 km.
Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.
So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.
Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.
So, L = √[(2.4 km)² + (0.7 km)²]
L = √[(5.76 km² + 0.49 km²]
L = √(6.25 km²)
L = 2.5 km
So, the distance between Jays hair and the caffe shop is 2.5 km.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/8171420
How do you do the work on this problem I’ve been stuck in it for a couple hours now.
56.2 m
Step-by-step explanation:
We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,
[tex]\dfrac{dy}{dt} = 0[/tex]
then solve for the time t that satisfies the equation above. The expression for the height y is
[tex]y = 60t - 16t^2[/tex]
Taking the derivative of this expression, we get
[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]
This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get
[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]
Stan's favorite cereal provides 20% of the Vitamin A and 30% of the Vitamin C he needs daily. How many servings of this cereal must he consume before he gets the recommended daily requirement of both vitamins?
Answer:
Step-by-step explanation:
100 %/ 20 % = 5 servings
100 %/ 30 % = 3⅓ servings
He must consume 5 servings to get 100% of Vitamin A
In those servings he will consume 150% of Vitamin C
what are the first 6 numbers of pi
Step-by-step explanation:
3.141592653............
For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.
Answer:
r>=12
Step-by-step explanation:
plz help me to answer
Answer:
H=2 r=1
Step-by-step explanation:
P= 2h+4r + πr = π+8
h= π+8- πr -4r/2
(pls give brainliest if helps!)
Marshall wants to buy a picture frame. The original price is $15,
How much will Marshall pay if he buys it during the sale?
SALE
25% off
original price
Choose the symbol that correctly compares these mixed numbers.
Answer:
It is 7 2/11 is less then 7 4/10
Step-by-step explanation:
You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]
Answer: B
Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company
Answer:
32
Step-by-step explanation:
8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex][tex] \sf64 + 9(4 \times 2) - 7[/tex][tex] \sf64 + 9(8) - 7[/tex][tex] \sf64 + 72 - 7[/tex][tex] \sf136 - 7[/tex][tex] \sf129[/tex]Okie 3 more questions and I’m done with math please please please
Answer:
6x - 20 = 4x + 50
2x = 70
x = 35
Pls confirm if right. If not pls help. Thx!
Answer:
yes you are correct
Step-by-step explanation:
I need this soon pls
classify the following number 8.4444
Answer:
rational number
Step-by-step explanation:
Natural numbers:
This is every number in the sequence 1, 2, 3, 4...
Whole numbers:
This is all of the above, but it also includes 0.
Integers:
All of the above, but this also includes negative numbers.
Rational numbers:
A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:
[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]
Irrational numbers:
Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.
[tex]\pi, \sqrt{3}[/tex]
=========================
You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:
[tex]8.4444=\frac{21111}{2500}[/tex]
In the case that it was a repeating decimal, those are also rational numbers. Take this for example:
[tex]0.3333333...[/tex]
This is rational:
[tex]\frac{1}{3}=0.333333...[/tex]
A water tank is filled at a constant rate. After 36 minutes, there are 648 gallons of water in the tank. How many gallons of water flowed into the tank each minute? Use the model.
Answer:
I'm not sure about this, sorry!
Step-by-step explanation:
[tex]648 \div 36 = 18[/tex]
18 gallons of water flowed into the tank each minute.
Answer: the answer is 18 gallons
Step-by-step explanation: all you have to do is divide 648 by 36 and you should recieve an answer of 18
The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume?
Answer:
16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
Answer:
the answer is in the site faith mate is the same question and in that site have the response np
MSRP (Manufacturer's Suggested Retail Price) = $18.99 retailer's price = $14.99 discount = ?%
Discount=$ 4
Discount percent :21.06%
solution given:
Marked price: $18.99
selling price: $14.99
Now
discount : Marked price - selling price
:$18.99- $14.99
:$4
Now
discount percent:[tex] \frac {discount}{marked \:price} *100\percent [/tex]
=[tex]\frac {4}{18.99}*100 [/tex]%
=21.06%
Step-by-step explanation:
Hope it will help you a lot.
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
Find the exact value of sin^-1(-√3/2)
Answer:
-60°
Step-by-step explanation:
Your calculator and/or your knowledge of trig function values can find this for you.
The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.
arcsin(-√3/2) = -60° = -π/3 radians
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
rewrite in simplest terms -8(-10u+6u-7)-10u
Answer:
22u + 56
Step-by-step explanation:
-8(-10u + 6u - 7) - 10u
1.) Combine like terms
-8(-10u + 6u - 7) - 10u
-8(-4u - 7) - 10u
2.) Distribute
-8(-4u - 7) - 10u
-8(-4u) -8(-7) - 10u
32u + 56 - 10u
3.) Combine like terms
32u + 56 - 10u
22u + 56
Therefore, the simplified equation is 22u + 56.
Answer:
22u+56
Step-by-step explanation:
1. simplify each term:
32u+56−10u
2. Subtract 10u from 32u.
22u+56
Hope this helps :)
Try to find the slope
Answer:
-11/14.
Step-by-step explanation:
Slope =(y2-y1)/ (x2 - x1)
Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.
So slope
= (7 - (-4)/ -7-7)
= -11/14.
In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).
Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936
True or false
Plz help
[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]
ANSWER : true
ok done. Thank to me :>
Answer:
True
Step-by-step explanation:
[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
yes yes no no
Step-by-step explanation:
use the Pythagorean theorem. sub a^2+b^2=c^2.
c is the largest number, and you can plug the 2 other values into a and b.
6(h - 6k+7) distributive property
Answer: 6h-36k+42
Step-by-step explanation:
6(h - 6k+7)
First, start by doing 6 times h
Then, 6 times -6k
Lastly, 6 times 7.
6h-36k+42 is your answer.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )
In 2 + In 8 - In 4
In 4
In 6
In 74
Answer:
in8− in4+ in2
Step-by-step explanation:
thats the aswer