Pls help with c. and d. Plssss I will give bonus if you answer it correctly.

Answer:

Step-by-step explanation:

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:

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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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:

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.

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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Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

6x-21 —->

x=21+6

=27

Answer:

x=11°

Step-by-step explanation:

PSRQ is square ⇒ ∠PQR=90°⇒ ∠PQS=45° ⇒ 6x-21=45 ⇒6x=66 ⇒x=11°

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:

50% chance

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

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

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: 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!!!

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:

C that was the answer to mine and it was right

Step-by-step explanation:

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:

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:

Step-by-step explanation:

S = 300 x .20(x)

hope this helps

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:

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:

g= - 3x/x-2

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:

=- No way

Step-by-step explanation:

Answer:

3560.7

Step-by-step explanation:

https://socratic.org/questions/what-is-the-difference-between-ratios-and-rates#:~:text=Both%20rates%20and%20ratios%20are%20a%20comparison%20of%20two%20numbers.&text=The%20difference%20is%20that%20a,10%20boys%20and%205%20girls.

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Answer:

24.997

Step-by-step explanation:

Let's start with the easy parts of the perimeter...the flat parts...7 + 7 = 14. We'll add that to the arch shortly.

We need to find the circumference of the whole circle, then divide by 4 to get 1/4 of a circle. (There might be a faster way, but this gets the job done.)

circumference = (2)(pi)(r)

= 2(3.142)(7) = 43.988

Now divide that by 4 for the distance of the arch.

43.988/4 = 10.997

Add that to the flat parts

10.997 + 14 = 24.997

Please let me know if you have any questions.

Answer:

Step-by-step explanation: