1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xenn [34]
3 years ago
10

The quadratic function f(x)=-16x^2+90 models the height of a baseball in feet after x seconds. How long is the baseball in the a

ir?
A. 2.8125 s
B. 5.625 s
C. 11.25 s
D. 126.5625 s
Mathematics
1 answer:
Finger [1]3 years ago
3 0
<span>B. 5.625 s.............

</span>
You might be interested in
Please help if the value of (x+1)^2-3 is 22 what is the value of (x+1)^2-5
Finger [1]
We could solve for x, but notice that the same expression is being squared in both (x+1)

if (x+1)^2 - 3 = 22 then
  (x+1)^2 = 25

that would mean that (x+1)^2 - 5 = 25 - 5 = 20


7 0
3 years ago
How many gallons of a 30% salt solution must be added to 40 gallons of a 12% salt solution to obtain a 20% solution?
Sati [7]
Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is

40(12%) + x(30%) = (40 + x)(20%)

With the percents as decimals:

40(0.12) + x(0.3) = (40 + x)(0.2)

Simplifying, we have:

4.8 + 0.3x = 8 + 0.2x

Collecting the x terms on one side and the constants on the other:

0.1x = 3.2

And multiplying both sides by 10 to find x:

x = 32

So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
7 0
3 years ago
In ΔABC (m∠C = 90°), the points D and E are the points where the angle bisectors of ∠A and ∠B intersect respectively sides BC an
Airida [17]

This is a little long, but it gets you there.

  1. ΔEBH ≅ ΔEBC . . . . HA theorem
  2. EH ≅ EC . . . . . . . . . CPCTC
  3. ∠ECH ≅ ∠EHC . . . base angles of isosceles ΔEHC
  4. ΔAHE ~ ΔDGB ~ ΔACB . . . . AA similarity
  5. ∠AEH ≅ ∠ABC . . . corresponding angles of similar triangle
  6. ∠AEH = ∠ECH + ∠EHC = 2∠ECH . . . external angle is equal to the sum of opposite internal angles (of ΔECH)
  7. ΔDAC ≅ ΔDAG . . . HA theorem
  8. DC ≅ DG . . . . . . . . . CPCTC
  9. ∠DCG ≅ ∠DGC . . . base angles of isosceles ΔDGC
  10. ∠BDG ≅ ∠BAC . . . .corresponding angles of similar triangles
  11. ∠BDG = ∠DCG + ∠DGC = 2∠DCG . . . external angle is equal to the sum of opposite internal angles (of ΔDCG)
  12. ∠BAC + ∠ACB + ∠ABC = 180° . . . . sum of angles of a triangle
  13. (∠BAC)/2 + (∠ACB)/2 + (∠ABC)/2 = 90° . . . . division property of equality (divide equation of 12 by 2)
  14. ∠DCG + 45° + ∠ECH = 90° . . . . substitute (∠BAC)/2 = (∠BDG)/2 = ∠DCG (from 10 and 11); substitute (∠ABC)/2 = (∠AEH)/2 = ∠ECH (from 5 and 6)
  15. This equation represents the sum of angles at point C: ∠DCG + ∠HCG + ∠ECH = 90°, ∴ ∠HCG = 45° . . . . subtraction property of equality, transitive property of equality. (Subtract ∠DCG+∠ECH from both equations (14 and 15).)
5 0
3 years ago
What is the product of 0.4 and 2.5
Maksim231197 [3]
.4 × 2.5 = 1. product means multiply / sum would be addition
4 0
3 years ago
Read 2 more answers
Write a rule for the linear function in the table.
Yuri [45]
I have no problem answering but it wont let me open the pdf. I will gladly give you your points back just thought that you should know

5 0
2 years ago
Read 2 more answers
Other questions:
  • "what is the speed of 70.0 miles per hour in kilometers"
    11·1 answer
  • Student is told that A union B is the set of all elements that beling to A or B. However when askef to find the union of A{a,b,c
    15·1 answer
  • The average distance from sun to venus is 67237910 miles. The average distance from the sun to Earth is 92955807 miles. Which st
    13·1 answer
  • WILL GIVE BRAINIEST PLEASE ANSWER AND GIVE EXPLANATION THANKS
    12·1 answer
  • What is the least common denominator 2 and 7?
    15·2 answers
  • X2 + 2x - 3= 5
    7·1 answer
  • 3
    9·1 answer
  • Each marble bag sold by Debra's Marble Company contains 8 yellow marbles for every 4 blue marbles. If a bag has 56 yellow marble
    5·1 answer
  • A music store buys instruments and then sells them for 30% more than they paid.
    11·1 answer
  • How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!