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
jeka94
3 years ago
8

Read the ques

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

0.25feet

Step-by-step explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given

You might be interested in
on Saturday Leo and his brother drove into town to visit their mom Leo is trying to remember how much he spent on gas and tolls
Gwar [14]

Let t be the number of tolls they crossed.

Amount they spent at each toll = $1.75.

Amount they spent at gas station = $28.

Let C be the total amount they spent on gas and tolls.

If they crossed 1 toll, then

C = 28 + 1.75(1).

If they crossed 3 tolls, then,

C = 28 + 1.75(3)

If they crossed t tolls, then,

C = 28 + 1.75t

Here, the terms are 28 and 1.75t and the factors are 1.75 and t.

8 0
3 years ago
Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note
Viktor [21]

a. Recall that

\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C

For |x|, we have

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

By integrating both sides, we get

\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0

so that

\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

We can shift the index to simplify the sum slightly.

\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n

b. The power series for x\ln(1-x) can be obtained simply by multiplying both sides of the series above by x.

\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n

c. We have

\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)

\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}

4 0
3 years ago
What is 6,400,000 written in scientific notation?
Arlecino [84]

Answer:

B

Step-by-step explanation:

6.4 × 1000000 is 6,400,000

10⁶ = 1000000

8 0
3 years ago
Read 2 more answers
First off thanks to the ppl who answered before 2nd off i need help again
balandron [24]

Answer:

This number line show the inequality x > 2

3 0
3 years ago
PPPPPPLLLLLZZZZZZZZZZZZZZZZ HELP I NEED THIS BY TMW ON FRIDAY
Triss [41]

Answer: D this would be after you have simplified it.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the future value of the loan. $34300 loan at 3.5% for 4 months
    7·1 answer
  • Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?.
    13·1 answer
  • Twenty-seven is the product of three and a number
    15·2 answers
  • Identify the number that is a multiple of 5. 66 30 29 1
    11·1 answer
  • What is -26.1235+8.75(-48.375)​
    7·2 answers
  • Pls help asap What is the number of degrees in the acute angle formed by the hands of a clock at 6:44?
    11·2 answers
  • Given: ABCD is a quadrilateral, BC║AD, m∠ A = 90°
    10·1 answer
  • Find the unit rate. Round to the nearest hundredth, if necessary.
    11·1 answer
  • Please help!!!! And explain answer please​
    7·1 answer
  • Solve the linear system using the method of substitution
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!