35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!

Answer:

a. y(t) = 0

Step-by-step explanation:

There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.

Final answer:

The requirement that the solution of the given initial value problem 'touches' the t-axis is represented by the equation y(t) = 0. This is because the output of the function is zero at that specific value of t. Contrastingly, y'(t) = 0 and y''(t) = 0 indicate conditions of slope and rate of slope change.

Explanation:

In the given initial value problem, the requirement that the solution 'touches' the t-axis is represented by the equation y(t) = 0. This is because when the function Touches the t-axis, the y-value (output of the function) is zero for that specific value of t.

It's worth noting that y'(t) = 0 and y''(t) = 0 represent the conditions where the slope of a function is zero (which corresponds to a localminimum or maximum), and where the rate of change of the slope is zero (which can indicate a point of inflection), respectively.

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Answer:

Step-by-step explanation:

we know that change is length is calculated by following strain relation

where strain is given as

plugging strain value in change in length formula

calculate the length on the longer side

              = 90 - 0.04008 = 89.95 mm

intial volume

change in volume

Final answer:

Calculations involve determining strain from given pressure and Modulus of Elasticity and then determining the decrease in length of the longest side and total volume of the aluminum block when subjected to pressure.

Explanation:

The question is about applying principles of material science under conditions of pressure. The decrease in length and volume of a rectangular block of aluminum when subjected to pressure can be calculated by using the concepts of Modulus of Elasticity and Poisson's Ratio.

First, the strain experienced can be calculated using the formula:

Strain = Pressure / Modulus of Elasticity

Substituting the given values, the strain is found. The change in the longest side (90mm) is calculated by multiplying the original length by the strain. The volume change is calculated using the formula:

Change in volume = Original volume * (-3) * strain

Where original volume is = 30mm * 60mm * 90mm. Here the negative indicates a decrease. This will provide the decrease in the longest side and the total volume of the block when subjected to the given pressure.

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If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given that ∆LMC ≅ ∆BJK.

The image of the triangles are attached below;

The triangle are congruent to each other so,

∆LMC ≅ ∆BJK

∆LM ≅ ∆BJ

∆LC ≅ ∆BK

∆MC ≅ ∆JK

Thus, ∆LC ≅ ∆BK so the correct option is D.

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Answer:

Yes.

∆CAB ≅ ∆XYZ by AAS Congruence Theorem.

Step-by-step explanation:

There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.

From the diagram, we cam observe the following:

<A ≅ <Y

<B ≅ <Z

side CA ≅ XY

Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.

15/25  Divididing numerator and denominator by 5 we get:

3 / 5