Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
A parabola is always in the form y = ax^2 + bx + c.
Substitute each point to produce different equations:
-14 = 0a + 0b + c = c
so c = -14
-3 = a1^2 + b1 + c = a + b - 14
so a + b = 11
0 = a2^2 + b2 + c = 4a + 2b -14 = 0
so 4a + 2b = 14
if we double a + b = 11 we get 2a + 2b = 22
Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15
We don't need to use the (3,5) points as we have all the information we need.
Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Q1. How many cups of flour are needed to make 1 loaf of bread?
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Step-by-step explanation:
PLEASE HELP!!!! ANSWER QUICK 30 POINTS!!!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.
Answer:
3rd one : 2.1x10-³
4th one : 3.7
Answer:
The guy above me is correct, but for some clarification:
1: 7.8
2: 3.3 * 10^3
3: 2.1 * 10^-3
4: 3.7
do 252/448 and 36/64 form a proportion?
Answer:
252/448 and 36/64 form a proportion
Step-by-step explanation:
The easiest way to do this is to let 252/448 = 36/64
Then cross multiply to get 252(64) = 36(448)
16128 = 16128
Since the two products are equal, then 252/448 and 36/64 form a proportion. If the the two products were unequal, then the two fractions would NOT form a proportion.
In 2019, Broward County had a population of about 1.95 million people and covered an area of about 1,210 square miles. What was the approximate population density of Broward County in 2019?
219,45656837198276857689087657
the approximate number of blood cells B passing through an animal's major artery each millisecond is given by B=17m^((4)/(3))where m is animal's mass in kilograms. Find the number of blood cells passing through a 243 kg bear's major artery each millisecond
Given:
The approximate number of blood cells B passing through an animal's major artery each millisecond is given by
[tex]B=17m^{\frac{4}{3}}[/tex]
Where, m is animal's mass in kilograms.
To find:
The number of blood cells passing through a 243 kg bear's major artery each millisecond.
Solution:
We have,
[tex]B=17m^{\frac{4}{3}}[/tex]
Putting m=243, we get
[tex]B=17(243)^{\frac{4}{3}}[/tex]
[tex]B=17(1516.381107)[/tex]
[tex]B=25778.4788191[/tex]
[tex]B\approx 25778[/tex]
Therefore, the number of blood cells passing through a 243 kg bear's major artery each millisecond is approximately 25,778.
Your shirt drawer contains a different colored shirts that you were over the next eight days what is the probability that you randomly choose the orange shirt to wear today and the red shirt to wear tomorrow
Step-by-step explanation:
four times only......................
Urgent!
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)?
A. 2x + 6
B. 2x - 6
C. 2x + 4
D. 2x - 4, r = 1
Answer: The answer would be c 2x + 4
Step-by-step explanation:
Autumn's family took a road trip to Mount Rushmore. Autumn fell asleep 39% of the way through the trip. If Autumn fell asleep after they had travelled 351 miles, what was the total length of the trip?
Answer:
900 miles long
Step-by-step explanation:
Given data
Le the total mile of the trip be x
Autumn fell asleep at 39% of the trip, which is equal to 351 miles
so
=39/100*x= 351
0.39x= 351
divide both sides by 0.39
x= 351/0.39
x= 900 miles
Hence the trip is 900 miles long
Answer:
900
Step-by-step explanation:
900
[tex]7x-4+35=72[/tex]
Answer:
7x - 4 + 35 = 72
7x + 31 = 72
7x = 41
x = 41/7 *you cant simplify*
x = 5 6/7 as a mixed number
Step-by-step explanation:
hope this helps
help me i suck at this
Answer:
Area of ACEG is 100
10
Step-by-step explanation:
Pythagorean says CE = EG = AG = AC = 10
Answer:
I think the answer is 100
Step-by-step explanation:
Use the pythagorean theorem to find out the missing side
6^2 plus 8^2 equals 100
The square root of 100 is 10. The lengths of the sides are 10.
10 times 10 is 100.
I hope this helps :)
Which table of value is correct for the equation y = - x + 3
Answer:
D
Step-by-step explanation:
the answer for this question
y = - x + 3
pleaseee help ill mark brainliest i swear please help
Answer:
45
Step-by-step explanation:
each bracelet takes 15 min
15*3=45
1 hour = 60 minutes..
In 1 hour she makes 4
In 2 hours (120 minutes) she makes 8
So in each hour she makes 4 ( 8 /2 = 4)
So In 3 hours she will make 3 x 4 = 12 bracelets
What 2 + 2 + 3 + 65 + 1
Answer:
73
Step-by-step explanation:
2+2+3+65+1
=4+3+65+1
=7+65+1
=72+1
=73
how do you graph 7x + 2y = -8
Answer:You set it up as y=mx+b
Step-by-step explanation:
WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brainly!!!
Answer: ye its 9072
Step-by-step explanation:
is 35,32,29,26 arithmetic
Answer:
Step-by-step explanation:
Yes, the defining characteristic of an arithmetic sequence is that any term subtracted by the previous term is a constant, called the common difference. In this case the common difference is 32-35=29-32=26-29= -3
Simplify. Use the ^ to show an exponent and the / for the fraction bar.
3x5y3 / 6x2y4 =
Will mark brainliest who answers correct and with explanation step by step
Write two fractions that are equivalent to the given fraction.
5/7
Answer:
10/14 25/35
Step-by-step explanation:
For the first one multiply times 2
For the second one multiply times 5
Which equation can be used to solve for x in the parallelogram below?
A) 3x-12=6x+12
B) (7x-8)+(6x+12)=90
C) 3x-12=2x+8
D) (7x-8)+(6x+12)=180
Answer:
B. (3x - 12)° = (2x + 8)°
Step-by-step explanation:
This equation can be used to solve x.
3x - 12 = 2x + 8
3x - 2x = 12 + 8
x = 20°
-------------------------------------------------------------------
Verification:
3(20) - 12 = 2(20) + 8
60 - 12 = 40 + 8
48° = 48°
A cone has volume 3π.
If the cone’s radius is 1, what is its height?
If the cone’s radius is 2, what is its height?
If the cone’s radius is 5, what is its height?
If the cone’s radius is 12, what is its height?
If the cone's radius in r, then what is the height?
Im so confused on how to start
Answer:
r=1, h=9
r=2, h=2.25
r=5, h=0.36
r=12, h=0.0625
r=r, h=9/r²
Step-by-step explanation:
Volume of a cone = πr²h/3
3π=πr²h/3
r²h=9
when r=1?
r²h=9
1²h=9
h=9
when r=2?
r²h=9
2²h=9
4h=9
h=2.25
when r=5?
r²h=9
5²h=9
25h=9
h=0.36
when r=12?
r²h=9
12²h=9
144h=9
h=0.0625
when r=r?
r²h=9
h=9/r²
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
VolumeVolume is the amount of space that is occupied by a three dimensional object.
The volume of a cone (V) is given by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1:
3π = (1/3)π*(1)² * h
h = 9
For a radius of 2:
3π = (1/3)π*(2)² * h
h = 2.25
For a radius of 5:
3π = (1/3)π*(5)² * h
h = 0.36
For a radius of 12:
3π = (1/3)π*(12)² * h
h = 0.02
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Find out more on Volume at: https://brainly.com/question/1972490
HELP ILL GIVE BRAINLISTTT!
Answer: √0.16
Step-by-step explanation:
√0.16 = 0.4
Determina el número de átomos que tiene una
muestra de 0.7 gramos de uranio puro si la
masa de un átomo de uranio es de 4 x 10^-25 kg
Tomando el cociente entre la masa de la muestra y la masa de un átomo, veremos que hay 1.7*10^21 átomos de uranio en la muestra.
¿Como podemos determinar el número de átomos?Para determinar el número de átomos en la muestra, simplemente debemos dividir la masa de la muestra (0.7 gramos) por la masa de un átomo de uranio (4*10^(-25) kg)
Donde la complicación viene por que tenemos distintas unidades.
Para resolver esto, podemos escribir la masa de la muestra en kilogramos.
Sabemos que: 1g = 1*10^-3 kg
Entonces podemos reescribir la masa de la muestra como:
0.7g = (0.7)*(10^-3 kg) = 7*10^-4 kg
Ahora si podemos tomar el cociente, el número de átomos esta dado por:
[tex]N = \frac{7*10^{-4}kg}{4*10^{-25}kg} = 1.7*10^{21}[/tex]
Así podemos concluir que hay 1.7*10^21 átomos de uranio en la muestra.
Sí quieres aprender más sobre átomos, puedes leer:
https://brainly.com/question/16929981
how many solutions does 3(x+5) = x+10?
Answer:
one
Step-by-step explanation:
distribute: 3x+15 = x+10
add like terms: 2x = -5
divide: x= -5/2
Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.
a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)
Answer: A= 1.60 sec
And I am not sure if B is correct, but I got 14.77 ft.
Step-by-step explanation:
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -
h(t) = 5 + 25t - 16t²
where [t] is the time in seconds.
[A] -
At h = 4ft, we can write -
4 = 5 + 25t - 16t²
- 16t² + 25t + 1 = 0
On solving, we get -
t = 1.602 seconds
[B] -
We have -
h(t) = 5 + 25t - 16t²
For maximum height -
dh/dt = 0
d/dt(5 + 25t - 16t²) = 0
0 + 25 - 32t = 0
32t = 25
t = 25/32
t = 0.79 seconds
Therefore -
t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
Work out the volume of this sphere.
Leave your answer in terms of pi
Answer:
Volume of sphere = 36π cm³
Step-by-step explanation:
Given:
Radius of sphere = 3 cm
Find:
Volume of sphere.
Computation:
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)π(3)³
Volume of sphere = (4/3)π(27)
Volume of sphere = 36π cm³
Can somebody help me with this question. Will mark brainliest.
Answer: 16/20
Step-by-step explanation:
If ur asking for the sine of angle C
Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary.
Answer:
5^2+h^2=12^2, the answer would be ~10.97 ft.
Step-by-step explanation:
I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.
Pythagorean theorem is :
a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.
Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.
If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2
Answer:
A
Step-by-step explanation:
Just plug in [tex]x=a+2[/tex].
A store had a sale on baseball cards, so Percy bought several baseball cards to give as gifts. He gave a total of x cards away to 5 friends. Each friend got 4 baseball cards. Write and solve an equation to figure out how many baseball cards Percy gave away.
Help please! Do not answer if you are not going to help me
9514 1404 393
Answer:
12. (x, D, E, F) = (8, 38°, 75°, 67°)
13. (x, P, Q, R) = (13, 126°, 30°, 24°)
Step-by-step explanation:
The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.
12. (5x -2) +(9x +3) +(11x -21) = 180
25x = 200 . . . . . . . add 20, simplify
x = 8 . . . . . . . . . divide by 25
Then the angle measures are ...
∠D = 5(8) -2 = 38°
∠E = 9(8) +3 = 75°
∠F = 11(8) -21 = 67°
__
13. (10x -4) +(4x -22) +(x +11) = 180
15x = 195 . . . . . . . . . . add 15, simplify
x = 13 . . . . . . . . . divide by 15
Then the angle measures are ...
∠P = 10(13) -4 = 126°
∠Q = 4(13) -22 = 30°
∠R = 13 +11 = 24°