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3 years ago

10

Evaluate the following for a= -2 and c = 4 and please show your steps along the way. Only a correct answer with steps shown will

receive full credit. 3a2−4c2a

2 answers:

jenyasd209 [6]3 years ago

7 0

3(-2)*2-4(4)*2(-2)
=(-12)-(-64)
=52

makkiz [27]3 years ago

3 0

3(-2)2-4(4)2(-2)=
-6(2)-16(-4)=
-12+64=
52

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A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

IrinaVladis [17]

Answer:

the length of PQ is equal to the length of P'Q'

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.

Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.

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3 years ago

A component is assembled in a four-step process. The probability of making a defect in step 1 is 10%; in step 2, 20%; in step 3,

rjkz [21]

Answer:

0.37072

Step-by-step explanation:

Let A be the event that step 1 is defective (P(A) = 10%), B the event that step 2 is defective(P(B) = 20%), C the event that step 3 is defective (P(C) = 8%), D the event that step 4 is defective(P(D) = 5%). Let us suppose that the occurance of a failure at any step is indepent of the other steps.

Recall the following properties

$P(A) = 1- P(A^c)$

$(A\cup B )^c = A^c \cap B^c)$

And given A, B, C, D independent , then

$P(A\cap B \cap C \cap D) = P(A)P(B)P(C)P(D)$

REcall that if the a set of events A,B,C,D are independent, their complements are also indepent.

Since we are asked for the probability of a defective item, this means that at least one of the steps is defective. Then, we are asked for the following probability:

$P(A\cup B \cup C \cup D) = 1 - P((A\cup B \cup C \cup D)^c) = 1 - P(A^c \cap B^c \cap C^c \cap D^c ) = 1 - P(A^c)P(B^c) P(C^c) P(D^c) = 1-(1-P(A))(1-P(B))(1-P(C))(1-P(D))$

$= 1-(0.9)(0.8)(0.92)(0.95) = 0.37072$

4 0

3 years ago

Read 2 more answers

The distance between B and C

alina1380 [7]

Answer:

The answer is

<h2> $\sqrt{13} \: \: or \: \: 3.6055 \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B ( 3 , 1 ) and C( 6 , 3)

The distance between them is

$|BC| = \sqrt{( {3 - 6})^{2} + ({1 - 3})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 2})^{2} } \\ = \sqrt{9 + 4}$

We have the final answer as

$\sqrt{13} \: \: or \: \: 3.6055 \: \: units$

Hope this helps you

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4 years ago

Which problem solving strategy would be best to solve this problem?

SSSSS [86.1K]

Answer:

$62.50

Step-by-step explanation:

125/2=62.5 --> $62.50

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3 years ago

Jada ran 15.25 kilometers. Han ran 8,500 meters. Who ran farther?

Thepotemich [5.8K]

Answer:

Jada

Step-by-step explanation:

We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.

One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.

Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.

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3 years ago