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3 years ago

If 5(p+ 3) = 18 + 2р,

Mathematics

2 answers:

KatRina [158]3 years ago

6 0

Answer:

p=1

Step-by-step explanation:

20=20

hope it helps please mark brainliest

marusya05 [52]3 years ago

6 0

Answer:

p = 1

Step-by-step explanation:

5(p+3)=18+2p

5p+15=18+2p

5p-2p=18-15

3p = 3

p = 3/3

p = 1

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Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1

belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

$F(x) = \int\limits^a_b {f(x)} \, dx$

By using integration formula

$\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c$

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

$\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx$

On integration , we get

= $(\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}$

$F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)$

= $(\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))$

After simplification and cancellation we get

= $\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6$

on calculation , we get

= $\frac{124,416}{5} + \frac{864}{3} + 180$

On L.C.M 15

= $\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}$

= 25 351.2 units²

Conclusion:-

The area of the region between the graph of the given function and the x-axis = 25,351 units²

6 0

3 years ago

Simplify (X+4)+(2x+3)

vfiekz [6]

Answer:

3x + 7

Step-by-step explanation:

Step 1: Distribute the plus

(x + 4) + (2x + 3)

x + 4 + 2x + 3

Step 2: Combine like terms

x + 4 + 2x + 3

3x + 7

Answer: 3x + 7

If needed solve

3x + 7 - 7 = 0 - 7

3x / 3 = -7 / 3

x = -7/3

8 0

3 years ago

Read 2 more answers

Which number has the greatest value

aleksklad [387]

Answer:

See the explanation below

Step-by-step explanation:

Which number has the greatest value

From the given list of numbers

Option A has the greatest value

A 8.07 x 10^5

This is because it is raised to a positive number 5, and also the integer is the largest that is raised to a non-negative number/power

6 0

3 years ago

Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, round

Ann [662]

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area = 2al.

Given the following:

a = 11 cm
l = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area = 2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

brainly.com/question/3688277

3 0

2 years ago

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Out of 431 applicants for a job, 142 have over 5 years of experience and 103 have over 5 years of experience and have a graduate

Savatey [412]

Answer:

0.2390

Step-by-step explanation:

Given

Total applicants = 431
Applicants with graduate degree and over 5 years of experience = 103

Probability = favorable outcomes/total outcomes

Required probability

103/431 = 0.2390 rounded to 4 decimal places

3 0

3 years ago