1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
5

What equations are equivalent to logb(c)=a?

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0
Djjxkskxocoodow bc dndkckckdkekks cjdisooxocod
You might be interested in
13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
muminat

Answer:

B

Step-by-step explanation:

5 0
3 years ago
How to get the value of x
vichka [17]
Example Problems<span>Find the value of "x": 5x = 25. Step 1 : The product is 25 and the given divisor is 5 . Given 5x = 25 . Divide by 5 on both the sides. 5 x 5 = 25 5 . ...<span>Find the value of "x" : 7x = 56; Step 1 : The product is 56 and the given divisor is 7. Given 7x = 56 . Divide by 7 on both the sides. 7 x 7 = 56 7 .</span></span>
7 0
3 years ago
Strain-displacement relationship) Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1 After loa
Anastasy [175]

Answer:

please see answers are as in the explanation.

Step-by-step explanation:

As from the data of complete question,

0\leq x\leq 1\\0\leq y\leq 1\\0\leq z\leq 1\\u= \alpha x\\v=\beta y\\w=0

The question also has 3 parts given as

<em>Part a: Sketch the deformed shape for α=0.03, β=-0.01 .</em>

Solution

As w is 0 so the deflection is only in the x and y plane and thus can be sketched in xy plane.

the new points are calculated as follows

Point A(x=0,y=0)

Point A'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>

Point A'(0+<em>(0.03)</em><em>(0),0+</em><em>(-0.01)</em><em>(0))</em>

Point A'(0<em>,0)</em>

Point B(x=1,y=0)

Point B'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>

Point B'(1+<em>(0.03)</em><em>(1),0+</em><em>(-0.01)</em><em>(0))</em>

Point <em>B</em>'(1.03<em>,0)</em>

Point C(x=1,y=1)

Point C'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>

Point C'(1+<em>(0.03)</em><em>(1),1+</em><em>(-0.01)</em><em>(1))</em>

Point <em>C</em>'(1.03<em>,0.99)</em>

Point D(x=0,y=1)

Point D'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>

Point D'(0+<em>(0.03)</em><em>(0),1+</em><em>(-0.01)</em><em>(1))</em>

Point <em>D</em>'(0<em>,0.99)</em>

So the new points are A'(0,0), B'(1.03,0), C'(1.03,0.99) and D'(0,0.99)

The plot is attached with the solution.

<em>Part b: Calculate the six strain components.</em>

Solution

Normal Strain Components

                             \epsilon_{xx}=\frac{\partial u}{\partial x}=\frac{\partial (\alpha x)}{\partial x}=\alpha =0.03\\\epsilon_{yy}=\frac{\partial v}{\partial y}=\frac{\partial ( \beta y)}{\partial y}=\beta =-0.01\\\epsilon_{zz}=\frac{\partial w}{\partial z}=\frac{\partial (0)}{\partial z}=0\\

Shear Strain Components

                             \gamma_{xy}=\gamma_{yx}=\frac{\partial u}{\partial y}+\frac{\partial v}{\partial x}=0\\\gamma_{xz}=\gamma_{zx}=\frac{\partial u}{\partial z}+\frac{\partial w}{\partial x}=0\\\gamma_{yz}=\gamma_{zy}=\frac{\partial w}{\partial y}+\frac{\partial v}{\partial z}=0

Part c: <em>Find the volume change</em>

<em></em>\Delta V=(1.03 \times 0.99 \times 1)-(1 \times 1 \times 1)\\\Delta V=(1.0197)-(1)\\\Delta V=0.0197\\<em></em>

<em>Also the change in volume is 0.0197</em>

For the unit cube, the change in terms of strains is given as

             \Delta V={V_0}[(1+\epsilon_{xx})]\times[(1+\epsilon_{yy})]\times [(1+\epsilon_{zz})]-[1 \times 1 \times 1]\\\Delta V={V_0}[1+\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}+\epsilon_{xx}\epsilon_{yy}+\epsilon_{xx}\epsilon_{zz}+\epsilon_{yy}\epsilon_{zz}+\epsilon_{xx}\epsilon_{yy}\epsilon_{zz}-1]\\\Delta V={V_0}[\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\

As the strain values are small second and higher order values are ignored so

                                      \Delta V\approx {V_0}[\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\ \Delta V\approx [\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\

As the initial volume of cube is unitary so this result can be proved.

5 0
3 years ago
Light travels at 186,282 miles per second,and the sun is 93 million miles from the earth.How many seconds does it take for the l
Virty [35]
Want it exact? Here it is:499.243083(got it from my calculator), if rounded, then here it is:500
7 0
3 years ago
Read 2 more answers
Does anyone know this answer??
DochEvi [55]

Answer:

Option (4)

Step-by-step explanation:

Equation of a line passing through a point (x_1,y_1) and with slope 'm' is,

y - y₁ = m(x - x₁)

Given → Slope 'm' = -2

Point through which the line is passing is (-1, -2)

x₁ = -1 and y₁ = -2

Therefore, equation will be,

y + 2 = -2(x + 1)

y = -2x - 2 - 2

y = -2x - 4

Option (4) is the correct option.

4 0
3 years ago
Other questions:
  • Complete the number patterns <br><br> 1. 1,3,6,10,15,21,__,__<br><br> 2. 1,3,7,13,21, __,__
    13·2 answers
  • G = {(5, 3), (2, 3), (6, 4)}<br> G-1 is a function.<br> True<br> False
    10·1 answer
  • 11. A set of weights includes a 5 lb bar and 8 pairs of weight plates. Each pair of plates weighs 10 lbs. If x
    7·1 answer
  • A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 54 square feet. Find the
    5·1 answer
  • To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students,
    15·1 answer
  • There are two species of plants that live along the ridge line of Old Rag, which is a mountain here in Virginia. The probability
    6·1 answer
  • I NEED TO GET THIS DONE HELP
    10·1 answer
  • Three less than 5 times a number is less than or equal to 12. If the number is a whole number, what could the number be?:
    12·1 answer
  • H ( x ) { − 2 + 3 , i f x &lt; 1 1 /2 x + 1 if x ≥ 1 }
    7·1 answer
  • Y = 3x do this fast plz
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!