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alexandr1967 [171]
3 years ago
5

What are the answers for questions 3&4? explanations if possible please!

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0
For 3 you have to subtract 72 on both sides
+72 -2X=54
-72 -72
72-72 cancels out and then subtract the 54 from -72 the answer for that then should be divided by -2
and then X= (the answer)
and the -72 goes under 54 not -2x
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What is (99/100)^101 times (100/99)^100?
sineoko [7]

Answer:

99/100

Step-by-step explanation:

First of all recall that

a^n\cdot b^n =(ab)^n

Now we we will try to apply that formula for a=99/100 and b=100/99.

First rewrite (99/100)^{101}=(99/100)\times (99/100)^{100}

Now

(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100

7 0
3 years ago
Factors and common factors of 24,64,88
babunello [35]
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88

Here are all the factors.^^
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Hope this helps!
8 0
3 years ago
What shape is this ​
suter [353]

Step-by-step explanation:

blank I don't see a shape

4 0
3 years ago
) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
n Juanita's Art History class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attenda
kvv77 [185]

Answer:

90.75%

Step-by-step explanation:

Given;

Of the total final score;

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she had perfect attendance to class. 100% attendance;

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She got extra credit on her project with a score of 26 out of 25 possible points.

Project = 26/25 × 25% = 26%

80, 85, and 96 on the first three exams,each worth 100 points;

Total exam score = 80+85+96 = 261 out of 300

Of the total score;

Exam = 261/300 × 55% = 47.85%

At mid-semester Juanita scored 119 out of 150 points on quizzes.

Quizzes = 119/150 × 15% = 11.9%

Total exam score is;

= Quizzes+exam +project+attendance

= 11.9% + 47.85% + 26% + 5%

= 90.75%

3 0
2 years ago
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