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photoshop1234 [79]
3 years ago
15

Estimate the product of 86 and 492

Mathematics
2 answers:
Aleks04 [339]3 years ago
7 0
86 × 492 = about 42,000
never [62]3 years ago
7 0
Round 86 to 90. Round 492 to 500. Multiply 90 by 500 to get 45000. 45000 is the answer
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How many positive integers $n$ from 1 to 5000 satisfy the congruence $n \equiv 5 \pmod{12}$?
irga5000 [103]
The equivalence n \equiv 5 \pmod{12}

means that n-5 is a multiple of 12.

that is

n-5=12k, for some integer k

and so

n=12k+5


for k=-1, n=-12+5=-7

for k= 0, n=0+5=5 (the first positive integer n, is for k=0)


we solve 5000=12k+5 to find the last k

12k=5000-5=4995

k=4995/12=416.25

so check k = 415, 416, 417 to be sure we have the right k:

n=12k+5=12*415+5=4985

n=12k+5=12*416+5=4997

n=12k+5=12*417+5=5009


The last k which produces n<5000 is 416


For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,

thus there are 417 integers n satisfying the congruence.


Answer: 417

6 0
3 years ago
If f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?​
ira [324]

f(0) =  ( f(k) +f(-k) ) / 2

f(0) = (16 - 4) / 2

f(0) = 12 / 2

f(0) = 6  → ANSWER

*Remember that f(0) = m(0) + n = n

If we have f(x) = mx + n, then:

f(k)= mk + n     and       f(-k)= -mk + n

If we add them:

  f(k) + f(-k)

= mk + n -mk + n

= 2n

= 2f(0)

So we conclude that:

f(0) = [f(k) + f(-k)] / 2

3 0
2 years ago
Please answer this question now
Sergio039 [100]

Answer:

Identify all points and line segments in the picture below.

This image has the potential for visual bias, so there is no alternative text.

Select one:

a. Points: A, B

Line segments: bar(AB)

b. Points: A, B, C, D

Line segments: bar(AB)

c. Points: A, B, C, D

Line segments:

bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC)

d. Points: A, B, C, D

Line segments: bar(AB), bar(AC), bar(BD)

Step-by-step explanation:

7 0
3 years ago
What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the ba
gizmo_the_mogwai [7]

Answer:

1440π squared mm.


Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

6 0
3 years ago
Read 2 more answers
Help plz it’s my final grade besties
Furkat [3]

a)

blank table values:

1, 2, 4, 8, 16, 32, 64

(2,4) and (6,64)

b)

y = 1 * 2^{x}

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3 years ago
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