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
ratelena [41]
3 years ago
10

="0 = - 4.9t {}^{2} + 27t + 2.4" alt="0 = - 4.9t {}^{2} + 27t + 2.4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
marta [7]3 years ago
7 0

0 =  - 4.9t {}^{2}  + 27t + 2.4
Convert decimals to fractions

0 =  -  \frac{49}{10} t {}^{2}  + 27t +  \frac{12}{5}
Multiply both sides by 10

0 =  - 49t {}^{2}  + 270t + 24
Move expression to the left.

0 + 49t {}^{2}  - 270t - 24 = 0
Remove zero.

49t {}^{2}  - 270t - 24 = 0Solve the quadratic equation.

t =  \frac{ - ( - 270) +  -  \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}
Remove parenthesis and calculate.

t =  \frac{270 +  -  \sqrt{72900  + 4704} }{98}
Add the numbers

t =  \frac{270 +  - 77604}{98}
Separate the solutions

t =  \frac{270  +  \sqrt{77604} }{98}  \\ t =  \frac{270 -  \sqrt{77604} }{98}
The final solution are
t1 =  \frac{270 -  \sqrt{77604} }{98} , t2 =  \frac{270 +  \sqrt{77604} }{98}

You might be interested in
PLZ HELP ASAP! Brainiest if you answer all the questions and 50POINTS!
worty [1.4K]

Answer:A

Step-by-step explanation:

3 0
3 years ago
Describe the process of how to find the volume of a prism but in your own words
Anton [14]

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to make a description

Mathematically, a prism is a solid shape with parallel bases, separated by a particular height

To find the volume of the prism, all we have to do is to find the area of one of the bases

After this, we then multiply the value obtained by the height of the prism. This gives the volume of the prism

5 0
3 years ago
A scientist studied the migration patterns of two types of sharks.The tiger shark traveled 2,240 miles in 28 days. The great whi
lawyer [7]
Tiger shark:
2240 miles in 28 days = 80 miles/day

GW shark:
2368 miles in 32 days = 74 miles/day

80 miles/day x 32 days = 2560 miles the Tiger shark would have traveled

2560-2368 = 192

If the tiger shark had traveled at the same rate for 32 days, the tiger shark would have traveled 192 miles more than the great white shark
4 0
3 years ago
Greatest common factor of 4ax^2+4ax+4a
Rina8888 [55]

Simplifying

4AX2 + 4AX + 4A = 0

Reorder the terms:

4A + 4AX + 4AX2 = 0

Solving

4A + 4AX + 4AX2 = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '4A'.

4A(1 + X + X2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'A' equal to zero and attempt to solve:

Simplifying

A = 0

Solving

A = 0

Move all terms containing A to the left, all other terms to the right.

Simplifying

A = 0

Subproblem 2

Set the factor '(1 + X + X2)' equal to zero and attempt to solve:

Simplifying

1 + X + X2 = 0

Solving

1 + X + X2 = 0

Move all terms containing A to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + X + -1 + X2 = 0 + -1

Reorder the terms:

1 + -1 + X + X2 = 0 + -1

Combine like terms: 1 + -1 = 0

0 + X + X2 = 0 + -1

X + X2 = 0 + -1

Combine like terms: 0 + -1 = -1

X + X2 = -1

Add '-1X' to each side of the equation.

X + -1X + X2 = -1 + -1X

Combine like terms: X + -1X = 0

0 + X2 = -1 + -1X

X2 = -1 + -1X

Add '-1X2' to each side of the equation.

X2 + -1X2 = -1 + -1X + -1X2

Combine like terms: X2 + -1X2 = 0

0 = -1 + -1X + -1X2

Simplifying

0 = -1 + -1X + -1X2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Solution

A = {0}

3 0
3 years ago
Read 2 more answers
Need help ASAP have 30 minutes
Alexxandr [17]
7.25$ for one box of paper
Explanation: divide 14.50 by 2
6 0
3 years ago
Read 2 more answers
Other questions:
  • a un baile asistieron 270 personas.si los boletos de costaban 100 pesos y los de dama 80 pesos y se recaudaron 24 800 pesos por
    15·1 answer
  • Verify that (sinx- cos x)2 = 1 - 2 sin x cos x is an identity.
    11·1 answer
  • The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 14
    11·1 answer
  • Help me pleaseeee I need it
    5·2 answers
  • Write an equation in slope-intercept form (0,2) (7,-1)
    6·1 answer
  • HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
    12·1 answer
  • Which expression is equivalent to (x +9i)2?
    8·1 answer
  • I need help &gt;?&lt; <br><br> What is the solution is?
    8·1 answer
  • Total Points: 50
    12·1 answer
  • Can you help me solve this please! ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!