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Ray Of Light [21]
3 years ago
13

The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do

they have left?
Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
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This diagram shows a pre-image △ABC , and its image, ​ △A′′B′′C′′ ​ , after a series of transformations.
Stella [2.4K]
First ABC is reflected across the y axis to become A'B'C'

Then A'B'C' is rotated 90 counterclockwise about the origin to make it A"B"C"

Because the transformations are both rigid, the pre-image and image are congruent

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8 0
3 years ago
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Which equation can be used to calculate the area of the shaded triangle in the figure below?
lozanna [386]

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

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here b = 14 and h = 4, hence

A = \frac{1}{2} (14 × 4) = 28

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3 years ago
1.64 as a mixed number in simplest form
garri49 [273]
By taking a look at 1.64, you can already tell the 1 will be the whole number in the fraction. So let's focus on .64. 0.64 is in the hundredths place value, so the denominator will be 100. The unsimplified fraction would be 1 64/100. To put this in simplest form we must divide 64 and 100. Let's start off with 2. 64/2 = 32 100/2 = 50 Let's continue until we can not divide by 2 anymore. 32/2=16 50/2 = 25 We can no longer divide by 2, howver there is not other number we can divide by both 16 and 25 evenly. The answer in simplest form is 1 16/25
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For the annual rate of change of +70%, find the corresponding growth or Decay Factor.
omeli [17]
Hello there!
1. Okay. So 70% is positive, so it is a corresponding growth. 70% is 0.7 in decimal form. C and D are both eliminated, because that's too large. When something grows by 70%, that is less than double. 0.7 is not right either, because that's more of a decay than a growth. The only answer that makes sense id 1.70, because you are going up, and adding 1 to decimal form brings you to the decimal that when multiplied will bring you to the total. The answer is B: 1.70.

2. So, -75% is negative, so it is a decay factor. A is eliminated, because it makes no sense and B is out, because that represents growth, not decay. You lose 75% of the amount overtime compounded, but you still have 25% that remains. To find that amount, you would subtract that amount from 1 to get the decay. 1 - 0.75 is 0.25. The decay factor is 0.25. The answer is D: 0.25.
4 0
3 years ago
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