Line segment AB has endpoints A(−1,6) and B(5,−6).

What are the coordinates of the point that partitions AB according to the part-to-part ratio 1:5?


(0,4)

(−4,4)

(4,0)

(4,−4)

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]

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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

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.

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Answer:

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

Step-by-step explanation:

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]

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:

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#SPJ4

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:

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: -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:

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]

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:

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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

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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:

  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:

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: the answer is “B”

Step-by-step explanation: answer is LETTER B

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

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

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

Answer:

angle 3 and angle 4 are adjacent angle

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!

Answer:

Step-by-step explanation:

9.23

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:

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

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]

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.

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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!