Simplify: 5a² - 2b² - c² - 3a² + 3b² + 2c²

Answer:

Average breath hold time by hippo under water ≥ 5 minutes

Step-by-step explanation:

Average time by human = 1 minute

Average time by hippo = ≥ 5 times human

Since average human breath hold time = 1 minute

Average breath hold time by hippo = 5 * 1 minute

Average breath hold time by hippo under water ≥ 5 minutes

Answer:

Step-by-step explanation:

Sum of acute angles equals to 90°

The smallest angle is 15°

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

Answer: X=11

thank you!!! happy holidays!! :}

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

Answer:

So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.

Answer:

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Step-by-step explanation:

Point-slope form of equation of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]

Hence,

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Answer:

1.94 seconds

Step-by-step explanation:

Answer:

you are incorrect it is actually 107 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  68 km

Step-by-step explanation:

Actual distance (d) will be proportional to the map distance.

  d/8.5 = 36 km/4.5

  d = (36 km)(8.5/4.5) = 68 km

The actual distance is 68 kilometers.

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

15.13 cm

Step-by-step explanation:

We are given:

Lateral surface area of a right circular cone : πr√r² + h²

From the question, we know that:

Lateral surface area = 236.64cm²

Radius = 4.75cm

Height = ?

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)² - π ×4.75²]/π

h = √(2481.9275169 - 70.882184247)/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

Answer:

I think it's 158

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

The formula for the area of a rectangle is A = bh.

Answer:

The correct answer is;

A(n) = 12 + (n-1)11; 166 millimeters

Step-by-step explanation:

Here, we want to write a rule representing the growth

From the question, we can see that the rate of growth is ;

34-23 = 23-12 = 11

This means it grows at a rate of 11 mm per day

So on the 15th day, its height will be;

We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference

The nth term An can be represented as;

An = a + (n-1)d

where a = 12 mm , n = 15 and d = 11 mm

Thus, we have

An = 12 + (15-1)11

An = 12 + 154

An = 166 mm

Answer:

25%

Step-by-step explanation:

As it states in the question there are 24 total games

So the denominator must be 24, The problem also states they won 6 games.

So the fraction of the games they won is 6/24.

But the qustion is not about the fraction, its about the percentage of the games they won.

so you can simplify 6/24 to 1/4 which eqeal to 25%

1/4=25%

So 25% is the answer.

Answer:

She made $664 during that work week.

Step-by-step explanation:

As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:

335 + (4,700 x 7/100) = X

335 + (32,900 / 100) = X

335 + 329 = X

664 = X

Therefore, during that week Mae Ling earned $ 664.

Answer:

at 6 minutes and 8.25 minutes

Step-by-step explanation:

When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.

Answer: a

Step-by-step explanation: edge 2020

Answer:

No, it is not a function

Step-by-step explanation:

Here, we want to tell if the relation is a function

For the relation to be a function, each independent variable must be mapped to only a single dependent variable

So what this means is that one term of the independent side must be mapped to one term of the dependent side

From the question, we can see that -10 and -15 were both mapped to -10 which should not be so

This means that the relation is not a function

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

Answer:

A. (-2, 1)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.

Answer is:

A.

(-2, 1)

Answer:

Im pretty sure its 1

Step-by-step explanation:

If you meant 4^3*4^-3, then yeah, its 1

Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

Answer:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Step-by-step explanation:

Please refer to the attachment.

We have:

[tex]\csc(\cos^{-1}(x))[/tex]

First, we will let:

[tex]\cos^{-1}(x)=\theta[/tex]

Then:

[tex]x=\cos(\theta)[/tex]

So, the adjacent side of our triangle is x and the hypotenuse is 1.

Then by the Pythagorean Theorem, the opposite side is given by:

[tex]x^2+o^2=1^2[/tex]

So:

[tex]o=\sqrt{1-x^2}[/tex]

Going back, we have:

[tex]\csc(\cos^{-1}(x))[/tex]

Since arccos(x) is θ:

[tex]=\csc(\theta)[/tex]

Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:

[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]

Hence:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

72 x 12 = 864

864 x 156 = 134,784

in the capacity of the year, 134784 people have been carried on the train

merry christmas:)

In the word problem,  the train has carried 134,784 people in that year.

To calculate the total number of people carried by the train in a year, we need to find the number of people carried in a single trip and then multiply it by the total number of trips made in a year.

Each coach can seat exactly 72 people, and there are 12 coaches on the train. So, in a single trip, the train can carry:

72 (people per coach) * 12 (number of coaches) = 864 people

Now, the train made 156 trips in full capacity in a year. So, the total number of people carried in that time would be:

156 (trips) * 864 (people per trip) = 134,784 people

Therefore, the train has carried 134,784 people in that year.

Learn more about word problem here: https://brainly.com/question/21405634

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Answer:

12 males

Step-by-step explanation:

3:8= 8 is for male

32÷8= 4

4×3= 12 males

hope it helps!