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adelina 88 [10]
3 years ago
9

Which graph could represent a constant balance in a bank account over time?

Mathematics
2 answers:
Vlad [161]3 years ago
7 0

Answer:

ITS C STRAIGHT LINE ACROSS

Step-by-step explanation:

LekaFEV [45]3 years ago
7 0

Answer:

The answer is C

Step-by-step explanation:

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STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being m
ELEN [110]

From an absolute value inequality, we have that:

  • The minimum diameter is 6.46 mm.
  • The maximum diameter is 6.54 mm.

  • The absolute value measures the <u>distance of a point or a function to the origin</u>.
  • One example of inequality is:

|f(x)| \leq a

Which has solution:

-a \leq f(x) \leq a

In this problem:

  • Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the <u>absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04</u>, that is:

|D - 6.5| \leq 0.04

Applying the solution:

-0.04 \leq D - 6.5 \leq 0.04

-0.04 \leq D - 6.5

D - 6.5 \geq -0.04

D \geq 6.46

\leq D - 6.5 \leq 0.04

D \leq 6.54

  • The minimum diameter is 6.46 mm.
  • The maximum diameter is 6.54 mm.

A similar problem is given at brainly.com/question/24835634

5 0
3 years ago
A supermarket employee wants to construct an open-top box from a 14 by 30 in piece of cardboard. To do this, the employee plans
Tanzania [10]

Answer: The side of the square will be 3 cm.

Step-by-step explanation:

When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.

l= 30-2x

b = 14-2x

h= x

Hence, the volume of the cuboid will be ,

V = lbh

= (30-2x)(14-2x)x

Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.

Therefore, \frac{dV}{dx} = 0

\frac{dV}{dx} =-2(14-2x)x -2(30-2x)x+(30-2x)(14-2x)=0

solving we get, x = 3, x = \frac{35}{3}

We can omit x = \frac{35}{3} because 14 - 2x < 0 , which is not possible.

Therefore, x=3.

7 0
4 years ago
HELPPPPP!!!!!!! PLEASESWE
harina [27]
What you are trying to do, I don't know. I will combine them for you.

8)

\displaystyle \frac{6}{x-1} - \frac{5x}{4} \\ \\ = \frac{4(6)}{4(x-1)} - \frac{5x(x-1)}{4(x-1)} \\ \\ &#10;= \frac{24}{4(x-1)} + \frac{-5x(x-1)}{4(x-1)}  \\ \\&#10;= \frac{24}{4(x-1)} + \frac{-5x^2+5x}{4(x-1)}  \\&#10;= \frac{24 - 5x^2 + 5x}{4(x-1)}

____________________

9)

\displaystyle &#10;\frac{3}{x+7} + \frac{4}{x-8} \\ \\ = &#10;\frac{3(x-8)}{(x+7)(x-8)} + \frac{4(x+7)}{(x+7)(x-8)} \\ \\ =&#10;\frac{3x-24}{(x+7)(x-8)} + \frac{4x+28}{(x+7)(x-8)} \\ \\ =&#10;\frac{3x-24}{(x+7)(x-8)} + \frac{4x+28}{(x+7)(x-8)} \\ \\ =&#10;\frac{7x + 4}{(x+7)(x-8)}
5 0
3 years ago
What is the 42 term where a1=-12 and a27=66
zalisa [80]

Answer:

111

Step-by-step explanation:

a1 = -12

a27 = 66

Now using the formula  an = a1+(n-1)d we will find the value of d

here n = 27

a1 = -12

a27 = 66

Now substitute the values in the formula:

a27 = -12+(27-1)d

66= -12+(26)d

66 = -12+26 * d

66+12 = 26d

78 = 26d

now divide both the sides by 26

78/26= 26d/26

3 = d

Now put all the values in the formula to find the 42 term

an = a1+(n-1)d

a42 = -12 +(42-1)*3

a42 = -12+41 *3

a42 = -12+123

a42 = 111

Therefore 42 term is 111....

5 0
3 years ago
Read 2 more answers
Which of these is equal to 0.13?<br> 13<br> A.<br> 99<br> 12<br> B.<br> 90<br> c. 1
Norma-Jean [14]

Answer:

Is this the inter question

3 0
3 years ago
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