approximate the volume of the backpack that is 17in × 12 in × 4inif you need a picture I'll try to send it to help

Answers

Answer 1

Answer: To find volume you multiply all three dimensions by one another. We can approximate this by multiplying the smaller ones first.

12*4=48 Now multiply 48 by 10.

48*10=480 We still have 7 to deal with, so we can multiply 48 by 2 and then by 5.

48*5=240
48*2=96

Now add the three together.

480+240+96=816.

Your answer is 816.

Answer 2

Answer: The formula for volume would make the equation 17" x 12" x 4", which would make it 816 cubic inches.

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What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?Choose one answer.
a. x – 8 = 2(y – 6)
b. y – 8 = 2(x – 6)
c. y + 8 = –2(x – 6)
d. y – 8 = –2(x – 6)

Answers

y-y1= m(x1-x2)
using this formula
the answer is d
because slope has to remain the same if its parallel

If R, S, and T are collinear and RS + ST = RT, which of the following is true? A. T is between R and S.B. RS=RT
C. S is the midpoint of.
D. S is between R and T.

Answers

The answer is D. S is between R and T.

Imagine a line, which a starting point is R and a final point is T. And somewhere in between a point S.
The total distance is RT (from the starting to the final point).
The distance RS is one part of the line, and the distance ST is the other part of the line. If these two distances sum up, you will get the total distance:
RS + ST = RT

In the two-string problem, two strings are suspended from the ceiling and the goal is to tie them together. However, the two strings are too far from each other to be reached and an object available to you is a plier. If you cannot go beyond seeing the plier as a possible object to swing one string like a pendulum to reach the far string, this is an example of ___.A) Lookahead
B) Functional fixedness
C) Generate
D) Test incubation

Answers

Answer:

this is an example of B) Functional fixedness

Step-by-step explanation:

Functional fixedness - is one type of fixation that can work against solving a problem, focusing on familiar functions or uses of an object.

The reason why this is functional fixednessis because people's creative problem solving skills are limited and this leads to them ignoring other possible solutions to problems.

In the string problem, the aim was to tie the two pieces of strings together and the solution to that was to tie the screwdriver to one of the strings and swing it like a pendulum. While the string is swinging, you must then walk over to the other string.

(3x+1)(2x-5)=39
i need help

Answers

$(3x+1)(2x-5)=39 \n6x^2-15x+2x-5=39 \n6x^2-13x-5=39 \ \ \ \ \ \ \ \ \ \ |-39 \n6x^2-13x-44=0 \n6x^2-24x+11x-44=0 \n6x(x-4)+11(x-4)=0 \n(6x+11)(x-4)=0 \n6x+11=0 \ \lor \ x-4=0 \n6x=-11 \ \lor \ x=4 \nx=-(11)/(6) \ \lor \ x=4 \n\boxed{x=-1 (5)/(6) \hbox{ or } x=4}$

   (3x + 1)(2x - 5) = 39
      3x(2x - 5) + 1(2x - 5) = 39
3x(2x) + 3x(-5) + 1(2x) + 1(-5) = 39
      6x² + (-15x) + 2x + (-5) = 39
      6x² - 15x + 2x - 5 = 39
      6x² - 13x - 5 = 39
      - 39 - 39
      6x² - 13x - 44 = 0
          x = -(-13) ± √((-13)² - 4(6)(-44))
      2(6)
      x = 13 ± √(169 + 1056)
   12
      x = 13 ± √(1225)
   12
      x = 13 ± 35
      12
      x = 13 + 35 ∨ x = 13 - 35
      12    12
      x = 48    ∨       x = -22
      12    12
      x = 4    ∨        x = -1⁵/₆
The solution set us equal to {4, -1⁵/₆}.

What is the y value of the y-intercept of the line that contains the points (-8,-5) and (10,67)?

Answers

(67)-(-5)<br />-------------= 72/18<br />(10)-(-8) reduce down 72/18=4

Write a function rule that represents the sentence
y is 5 less than the product of 4 and x.

Answers

y=5-4x
since less than is subtraction
is means equals
and product means you have to multiply the numbers

Final answer:

The function rule to represent the given sentence is y = 4x - 5.

Explanation:

To write a function rule that represents the sentence 'y is 5 less than the product of 4 and x,' we can use algebraic notation. The word 'less than' indicates a subtraction operation, so we can represent it as y = 4x - 5. In this function rule, 4x represents the product of 4 and x, and subtracting 5 from it gives us y.

Learn more about Function rule for subtraction here:

brainly.com/question/8131685

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