answer.
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
Hatshy [7]
2 years ago
11

Evaluate 10m +\dfrac {n^2}410m+ 4 n 2 ​ 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m=5m=5m, equal

s, 5 and n=4n=4n, equals, 4.
Mathematics
1 answer:
Readme [11.4K]2 years ago
3 0

Answer: 54

Step-by-step explanation:

Given the following expresion provided in the exercise:

10m+\frac{n^2}{4}

You can follow these steps in order to evaluate it when m=5 and n=4:

1. You need to substitute m=5 and n=4 into the given expression:

10(5)+\frac{(4)^2}{4}

2. Now you can solve the mutiplication:

=50+\frac{(4)^2}{4}

3. Since 4^2=4*4, you get:

=50+\frac{16}{4}

4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:

=50+4

5. And finally, you must solve the addition. So, you get this result:

=54

You might be interested in
The degree measure of angle a is 135°. which expression below is equivalent to the radian measure of angle a?
Kazeer [188]

It is given that \angle a=135^{\circ}.

Now, know that in 180 degrees there are \pi radians. This can be written as:

180^{\circ}=\pi radians

\therefore 1^{\circ}=\frac{\pi}{180} radians (dividing both sides by 180)

Thus, to find the measure of the given angle of 135^{\circ} in radians, we will have to multiply the above equation by 135. Thus, we get:

135^{\circ}=\frac{\pi}{180}\times 135 radians

135^{\circ}\approx2.356 radians

Thus, equivalent to the radian measure of angle a is 2.356


7 0
2 years ago
Read 2 more answers
Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]

Answer:

h_{n}=1.(8)^{n-1} will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = \frac{\text{Second term}}{\text{First term}}

r = \frac{8}{1}=8

Since explicit formula of a geometric sequence is given by

T_{n}=a(r)^{n-1}

where T_{n} = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

T_{n}=1.(8)^{n-1}

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = 1.(8)^{n-1} then he is correct.

7 0
2 years ago
Read 2 more answers
A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company
mash [69]

Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for  first 600 minutes = $0.05

The per minute cost after 600 minutes  = $0.15

Let us assume the number of minutes talked = m

<u>Case 1:</u><u> when the minutes talked is less than 600 minutes.</u>

Total Charges = Flat Fee  +  0.05 x ( the minutes talked)

or, T   = $10 + m ($0.05)

or T  = 10 + 0.05 m     (when m  < 600)

<u>Case 2:</u><u> when the minutes talked is more than 600 minutes.</u>

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee  + Charges for 600 minutes  +  0.15 x ( the minutes talked over 600)

or, T   = $10 + 600 ($0.05)  + k($0.15)

or T   =  10 + $30     +   0.15 k            (when k   > 600)

⇒  T   =  40   +   0.15 k            (when k   > 600)

Hence, in both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when m  < 600)

T   =    T   =  40   +   0.15 k            (when k   > 600)

7 0
2 years ago
T(m)=0.04m+1.26?? I don't understand how to solve it...
Marat540 [252]
You gotta move that b to the side ya digg
3 0
2 years ago
Given: m∠ATB = 63°, arc AB = 115° Find: arc DC
Flura [38]

Answer:

The measure of arc DC is 11\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

m\angle ATB=\frac{1}{2}[arc\ AB+arc\ DC]

substitute the given values

63\°=\frac{1}{2}[115\°+arc\ DC]

126\°=[115\°+arc\ DC]

arc\ DC=126\°-115\°=11\°

6 0
2 years ago
Other questions:
  • What's the verbal expression for the algebraic expression 1/8y .?
    14·1 answer
  • Which of the following are possible explicit formulas for the nth term of the constant velocity sequence below? Check all that a
    5·1 answer
  • Harrison has 30 cds in his music collection. If 40% of the cds are country and 30% are pop, how many are other types of music
    8·2 answers
  • Finn bought 2 packs of stickers. Each pack had the same number of stickers. A friend gave him 4 more stickers. Now he has 24 sti
    9·2 answers
  • Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. The buildings have flat roo
    15·1 answer
  • The mass of a colony of bacteria, in grams, is modeled by the function P given by P(t)=2+5tan^−1.(t/2), where t is measured in d
    11·2 answers
  • The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces fr
    13·1 answer
  • the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
    15·1 answer
  • Which statement is true about the discontinuities of the function f(x)? F (x) = StartFraction x minus 5 Over 3 x squared minus 1
    14·1 answer
  • The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time in seconds. Playing note E on
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!