The measures of two complementary angles are m<1 = 16z- 9 and m<2 = 4z - 1. Find m<2

Answer:

12.6cm

Step-by-step explanation:

12.6 cm²

Area formula: (A = πr²)

If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.

Circumference formula: (C = πd) or (C = 2πr)

Finding the circumference : 3.14 × 4 = 12.56 cm

So, we now have the radius and circumference.

Radius = 2 cm

Circumference = 12.56 cm

Finding the Area : 3.14 × 2 × 2 = 12.56 cm²

So, 12.56 rounded to the nearest tenth is 12.6 cm².

Hope this helped! :)

Answer:

last option

Step-by-step explanation:

the middle term is the sum of 4k and 4k which is 8k

Given:

The insect population function is:

[tex]f(x)=10(2)^x[/tex]

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

[tex]f(x)=10(2)^x[/tex]

We need to find the population after 4 weeks.

After substituting [tex]x=4[/tex], we get

[tex]f(4)=10(2)^4[/tex]

[tex]f(4)=10(16)[/tex]

[tex]f(4)=160[/tex]

The population after 4 weeks is 160. Therefore, the correct option is C.

Answer:

B. [tex]y=-\frac{2}{3}x+5[/tex]

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]

Now we know the y intercept (b) we can write the equation of the line.

[tex]y=-\frac{2}{3}x+5[/tex]

The equation of the line would be equal to y= -2/3x + 5

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

The Equation of a line: y=mx+b

Where m is the slope and b is the y- intercept

Since Parallel lines have the same slope.

So we can write the equation of the line as;

y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y

y= -2/3x+b

3 = -2 + b

b = 5

Now we know the y intercept (b) we can write the equation of the line.

y= -2/3x + 5

Learn more about equations here;

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#SPJ2

Answer:

sorry in a hurry

Step-by-step explanation:

A rocket gets launched straight up into space. What is a possible description

of the rate of change (slope)?

Answer:

yo mama

Step-by-step explanation:

Answer:

Wat

Step-by-step explanation:

y o u n e e d a s t e p s I s t e r

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

r = 20 mm

Volume = 16328

h = ?

Formula

V = pi * r^2 * h

Solution

16328 = 3.14 * 20^2 * h

16328 = 3.14 * 400 * h

h = 16328/(3.14 * 400)

h = 16328 / 1256

h = 13

Given:

The expression is:

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

To find:

The single logarithm expression for the given expression.

Solution:

We have,

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

Using properties of the logarithm, we get

[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex]           [tex][\because \log x^n=n\log x][/tex]

[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]

[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex]          [tex][\because \log a+\log b=\log (ab)][/tex]

Therefore, the correct option is B.

Answer:

Group A has a larger median

Step-by-step explanation:

Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9

Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9

You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

[tex]9=ab^1[/tex]        ...(ii)

[tex]36=ab^2[/tex]       ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]  

[tex]4=b[/tex]  

Putting [tex]b=4[/tex] in (ii), we get

[tex]9=a(4)^1[/tex]

[tex]\dfrac{9}{4}=a[/tex]

Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get

[tex]y=\dfrac{9}{4}(4)^x[/tex]

[tex]y=9(4)^{x-1}[/tex]

The function notation with variable n is:

[tex]f(n)=9(4)^{n-1}[/tex]

Therefore, the correct option is D.

Answer:

[tex]A=225cm[/tex]

Step-by-step explanation:

From the question we are told that:

Sides of the square post

[tex]L=15cm[/tex]  

Generally the equation for Area of a square A is mathematically given by

[tex]A=L*B[/tex]

Where L=B

Therefore

[tex]A=15*15[/tex]

[tex]A=225cm[/tex]

Answer:

Step-by-step explanation:

Answer:

2.5 bottles

Step-by-step explanation:

10 * 500 ml = 5000 ml

5000 ml = 5 l

5/2 = 2.5

2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

A liter is a cubic meter unit of volume which is equal to 1000 cubic centimeters.

1 liter = 1000 milliliters

Ten 500 milliliter containers

10 × 500 ml = 5000 ml

5000 ml = 5 l

2-liter bottles of soda will you need

5/2 = 2.5bottles

Therefore, 2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

Learn more about liter;

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=- No way

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

Answer:

15/4

Step-by-step explanation:

Answer:

First, let's find the area of the whole pizza:

Area of circle = pi x r^2

r = 16 / 2

r = 8

Area of pizza = pi x 8^2 = 64pi

Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:

64pi / 8 = 8pi

The area of each slice is then 8pi in.^2

Step-by-step explanation:

Answer: 1.574 × 10-3

Step-by-step explanation:

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10-3

Answer:

0.001574 in scientific notation  is 1.574 × 10^-3

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10^-3

Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.

Hope this helped!!!

Answer: 5 times

Step-by-step explanation:

Your question isn't well written but let me rewrite it based on what I believe that you wrote.

Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?

To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:

= 3 1/3 ÷ 2/3

= 10/3 / 2/3

= 10/3 × 3/2

= 5

She took a break 5 times

Answer:

V = 4.22ft^3

Step-by-step explanation:

Length: 2.25ft

Width: 1.5ft

Height: 1.25ft

Length x Width x Height = V

2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!

Answer:

C that was the answer to mine and it was right

Step-by-step explanation:

Answer:

g= - 3x/x-2

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

Answer:

the first (c) is the answer:  ΔABC ≅ ΔPQR

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, from what I just reviewed, once you get the equation into the form of y = mx + b, the m is the slope of a line.

So take the first street, Folsom

2y = 4x + 7

y = 2x + 7/2

the slope is 2.

The second street, Divisadero

5y = 2x + 9

y = 2/5x + 9/5

the slope is 2/5.

So whether we're talking about 2/5 of an inch, 2/5 of a foot, or 2/5 of a mile, 2/5 is less than 2, so I would rather go up the less steep road...Divisadero.

Answer:

3560.7

Step-by-step explanation:

Step-by-step explanation:

S = 300 x .20(x)

hope this helps