What is the value of x A 19 B 22 C 67 D71

In an automobile parts factory, for every 175 carburetors 3 are found to be defective. At that rate how many carbureatots out of

Furkat [3]

Answer:

At the same rate 18 carburetors out of 1,050 could be expected to be detective.

Step-by-step explanation:

The number of carburetors tested = 175

Defective pieces out o f 175 = 3

So, ratio of defected to tested = 3 : 175

Now, the number of carburetors tested in second batch = 1,050

Here, let the defective pieces = m

So, by the Ratio of Proportion,

$\frac{3}{175} = \frac{m}{1050}$

or, $m = \frac{1050 \times 3}{175} = 18$

⇒ m = 18

Hence, at the same rate 18 carburetors out of 1,050 could be expected to be detective.

8 0

3 years ago

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0

2 years ago

Question is below....

Kamila [148]

Answer:

Step-by-step explanation:

For window, area 3×2

=6

For wall, area=20×16

=320

Area of wall withot window=320-6

=316

4 0

3 years ago

Which of the following is the number of sides for a regular polygon that will not form a regular tessellation?

trasher [3.6K]

Answer with explanation:

A regular polygon is simple closed geometrical shape, only made up of line segments.

And Regular Tessellation, is geometrical shape, made up of regular polygons having, 3 ,or 4 or 6 sides.

It is combination of, only single kind of polygon,either, polygon having 3 sides, or ,4 sides or 6 sides.

→Regular polygon having 3 sides is Called Equilateral Triangle.

→Regular polygon having 4 sides is Called Square.

→Regular polygon having 6 sides is Called Regular Hexagon.

⇒Regular polygon having , 8 sides will not form a regular tessellation.

Option D

6 0

3 years ago

Jane is painting her room. She mixes 3 pints of blue paint with 4 pints of red paint to get her desired color. Which equation ca

Lady bird [3.3K]

Well if she added three blue and four red originally, and is now using 16 red then we would divide 16 by the original four. Which means to get the number of blue we are gonna end up multiplying by four. So three times four is twelve. Which means she would use 12 blue and 16 red to get the same color she got with 3 blue and 4 red earlier. The equation, lets use x for blue and y for red, would be 4(3x + 4y) = desired color

5 0

3 years ago

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