MATHEMATICS HIGH SCHOOL

What is |5.4|?
What is the opposite of 10?

Answers

Answer 1

Answer:

Answer:

-10

Step-by-step explanation:

Answer 2

Answer:

Answer:

1. 5.4

2. The additive inverse is the negative value, -10.

The multiplicative inverse (reciprocal) is 1/10.

Step-by-step explanation:

1. Since the value within the absolute value is not negative then the value remains the same.

2, The opposite of positive 10 could be -10. The reciprocal is 1/10.

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Which of the following is not a rigid motion transformation?

Answers

The one which is not a rigid motion transformation is D. Stretch.

What is Geometric Transformation?

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.

In rotation, translation and reflection, there is no change in the size or the shape.

But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.

So stretch is not a rigid motion transformation.

Hence option D is the correct answer.

Learn more about Rigid Motion Transformation here :

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Answer:

D. Stretch

Step-by-step explanation:

All the others keep the same dimensions

2 (5 + y) = 8
What does Y =

Answers

Answer:

Step-by-step explanation:

2(5 + y) = 18

10 + y = 18

Bringing like terms on one side

Y = 18 - 10 = 8

An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how manydogs are there?
A. 15
B. 90
C. 20
D. 45

Answers

In the question "An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there" the correct answer is 45 (option D). To solve the problem, let the number of dogs be x, then dogs / cats = 3 / 2 = x / 30. i.e. 2x = 3(30) = 90. x = 90 / 2 = 45. Therefore, there are 45 dogs in the animal shelter.

An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, 45 dogs are there . 3/2 = x/30 , x= 30*3/2 =45

the probability of getting an even number (but not 0) is 4/10using a game spinner. the denominator of the probability is

Answers

Answer: The total number of outcomes.

Step-by-step explanation:Apex

10 because the ratio is 4/10 and the bottom number is the denominator

A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat?

Answers

We calculate 40% from 369,00 $, this is discount

40%*369= $(40)/(100)*369= 147,60$

After sale coat costs 147,60 less so:

369 -147,60=221,40 $

Now I will pay for the coat 221,40$.

A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).1) What is the temperature of the coffee after 16 minutes?
2) After how many minutes will the coffee be 100 degrees?

Answers

The temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.

What is Differential equation?

A differential equation is an equation that contains one or more functions with its derivatives.

A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees.

After 6 minutes, the coffee is 139 degrees.

Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).

T=∫k(t-66)dt

=k(t²/2-66)+c

When t=0 and T=181

181=k(0-66)+c

181=-66k+c

when t=6, T=139

139=k(6²/2-66)+c

139=-48k+c

-42=-18k

Divide both sides by 18

k=7/3

139=-48×7/3+c

c=139+112=251

T=7/3(t-66)+251

The temperature of the coffee after 16 minutes

T=7/3(16-66)+251

T=7/3(-50)+251

T=134 degrees

After how many minutes will the coffee be 100 degrees

100=7/3(t-66)+251

100=7/3t-7/3(66)+251

100=7/3t-154+251

100=7/3t+97

100-97=7/3t

3=7/3t

9/7=t

1.3=t

Hence, the temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.

To learn more on Differentiation click:

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Answer:

Step-by-step explanation:

$(dT)/(dt) =k(t-66)\nT=\int\ {k(t-66)} \, dt=K((t^2)/(2) -66)+c\nwhen t=0,T=181\n181=K(0-66)+c\n181=-66k+c\nwhen t=6,T=139\n139=k((6^2)/(2) -66)+c\n139=-48k+c\n181-139=-66k+48k\n-42=-18k\n7=3k\nk=(7)/(3) \n139=-48*(7)/(3) +c\nc=139+112=251\nT=(7)/(3) (t-66)+251\nnow complete the question$