Introduction to Functions (40-41)
Find which relations below represent functions. Write function if it represents a function in the blanks provided.
Otherwise, write not a function in the blanks provided below the tables.
A
B
X1
Yı
X1
уі
X1
yı
7
0
3
Сл
-4
-3
5
5
Сл
7
-4
1
-8
2
7
9
10
-4
-1
-1
15
7
-4
-3
7
-2
or do
20
5
7
-4
-5
1

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:

[tex]A(t) = 64(0.5)^t[/tex]

32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:

[tex]A(4) = 64(0.5)^4 = 4[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer: the answer is “B”

Step-by-step explanation: answer is LETTER B

Answer:

  3 km/h

Step-by-step explanation:

You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.

The relation between time, speed, and distance is ...

  time = distance / speed

If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...

  36/(15 -c) = 36/c -9

Multiplying by c(15-c), we have ...

  36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)

  36c = 540 -36c -135c +9c² . . . . . eliminate parentheses

  9c² -207c +540 = 0 . . . . . . . collect terms

  c² -23c +60 = 0 . . . . . . . . divide by 9

  (c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3

The speed of the current is 3 km/h.

__

Additional comment

The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.

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Answer:

Step-by-step explanation:

It could be 32m. Maybe, I'm not positive though.

Answer:

Hope you like the answer

Step-by-step explanation:

Mark me as Brilliant if you like the answer

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

Answer:

angle 3 and angle 4 are adjacent angle

Answer:

If there are 350 kids for example your answers would be:

Boys: 182

Girls: 168

Step-by-step explanation:

If you add those numbers together you'll get 350 again

Answer:

a) 17.5%

b) $150,000

c) 27°

Step-by-step explanation:

Angles around a point add up to 360°.

Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%

Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.

a)  Government Bonds = (63° ÷ 360°) x 100% = 17.5%

b) Crypto Currency = 90° - 63° = 27°

Therefore, (27° ÷ 360°) x 100% = 7.5%

7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000

c) Crypto Currency = 90° - 63° = 27°

#a

Find percentage (whole is 360°)

#2

Angle of crypto=180-(90+63)=180-153=27°

Percentage:-

Total

#c

Found in second part

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The dimensions of the triangle are 16, 63, and x.

Where x is the hypotenuse.

By the Pythagoras theorem, we have

x² = 16² + 63²

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

D. 16 squared + 63 squared = x ^2 is the answer.

Step-by-step explanation:

Answer: h = 3

Step-by-step explanation:

(h+1)² = 16

h+1 = √16

h+1 = 4

h = 3

Hope this helped :)

Answer:

[tex]h=3, \ h=-5[/tex]

Step-by-step explanation:

[tex](h+1)^2=16[/tex]

[tex](h+1)^2=16[/tex]

[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex]                    <== you take the square root of both sides

[tex](h+1) = \±\ 4[/tex]                            <== you take the square root of both sides

[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex]    <== separate into 2 equations and solve

[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]

Hope this helps!

Answer:

13 [tex]\frac{1}{3}[/tex]% are green

Step-by-step explanation:

totalling the marbles

red = 6

blue = 7

green = 4

orange = 13

total marbles = 6 + 7 + 4 + 13 = 30

fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]

To change a fraction to a percentage multiply the fraction by 100%

[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%

Answer:

Step-by-step explanation:

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

5

b

=

0

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

5

y-intercept:

0

Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

5

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]

The function I = 19n is a linear function

The reasonable domain of the function is [0,21]

The function is given as:

I = 19n

The smallest value of n is 0 i.e. the smallest number of ticket sold is 0

The maximum capacity is 400.

So, we have:

19n = 400

Divide both sides by 19

n = 21.05

Remove the decimals

n = 21

Hence, the reasonable domain of the function is [0,21]

Read more about domain at:

https://brainly.com/question/1770447

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

Answer:

Your answer would be:

41.2

10¹ = 10

412 / 10 = 41.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

123 this is a good idea to make sure you have the best time ever.

Answer: -63.5 feet per mintue

Step-by-step explanation:

      We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

      Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

      -63.5 feet per mintue

Answer:

Option A

Step-by-step explanation:

Given:

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.

c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

[tex]=\frac{4558}{5388}\times100[/tex]

[tex]=0.84595\times100\\\\= 84.595 \ \%[/tex]

or ≈ 85%  (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

Learn more about the percentage here:

https://brainly.com/question/8011401

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

First time

2,000 (starting investment) × 2 = 4000

Second time

4000 × 2 = 8000

Third time

8000 × 2 = 16000

Fourth time

16000 × 2 = 32000

Fifth and final time

32000 × 2 = 64000

$64,000

Answer:

Step-by-step explanation:

9.23

Answer:

  72°

Step-by-step explanation:

The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.

The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...

  α = 144°/2 = 72°

The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.

Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.

A center angle of 360°

=360°/10 = 36°

It will separate each of its 10 vertices.

The central angle:

= (8 - 4)×(36°) = 144°

An inscribed angle is a4-a1-a8:

So α will be:

α = 144/2 ⇒ 72°

Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

Learn more about the regular polygon here:

https://brainly.com/question/11810316

#SPJ4

Answer:

volume = 527.52 in³

volume increased by 30% = 685.776 in³

Step-by-step explanation:

Volume of a cone

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies V=\dfrac13 \cdot 3.14 \cdot 6^2 \cdot 14[/tex]

[tex]\implies V=527.52 \ \sf in^3[/tex]

---------------------------------------------------------------------------

If the volume increases by 30% then it will now be 130% of the original volume.

130% as a decimal = 130/100 = 1.3

Therefore, to find the new volume, multiply the original volume by 1.3.

[tex]\implies V=527.52 \cdot 1.3[/tex]

[tex]\implies V=685.776 \ \sf in^3[/tex]