Simplify the following expression. Rationalize all denominators.

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

Answer:

x>-1

Step-by-step explanation:

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

it said that its more then which equals to a greater sign (>).

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].

Answer:

2.25 lbs

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

9/2 = 4.5

4.5/2 = 2.25

Answer:

Step-by-step explanation:

Given function:

a) Maximum height is the vertex of the graph. Time needed:

If we double this time then diver will pass the peak point and it doesn't double the height

b) Maximum height is at vertex:

c) Distance from water after 2 seconds:

Answer:

The answer is C and E.

Step-by-step explanation:

I just took the assignment and it is C and E.

The expression that represents the population after 5 decades is

100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

Options C and E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

The population of the city = 100,000

Population doubles every decade.

This means,

Population after 1 decade.

= 100,000 x 2

= 200,000

Population after 2 decades.

= 200,000 x 2 x 2

= 800,000

We can write an expression for the population after x decade.

= 100,000 x [tex]2^x[/tex]

The population after 5 decades.

= 100,000 x [tex]2^5[/tex]
= 100,000 x 2 x 2 x 2 x 2 x 2

= 100,000 x 32

= 3200,000

Thus,

The expression is 100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

[tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]

So a would equal whatever the square root of 33 is.

Answer:

247000000

Step-by-step explanation:

10^8 = 10×10×10×10×10×10×10×10

=100000000

or, downloaded=100000000×2.47

=27000000

Answer: 453 more downloads   1,547 more downloads

7,549 more downloads   435 more downloads  ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~

Step-by-step explanation:

An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week

Answer:

40%

Step-by-step explanation:

Move the period over twice then place the percentage sign where you moved the period to

Answer:

40%

multiply both numerator and denominator by 100. You do this to find a equivalent fraction having 100 as the denominator. The fraction is 40 over 100, 100 represents the whole thing 40 is the part so it's basically part over whole. 40% is your answer. I'm sorry if my explanation made no sense

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.

Answer:

h(x) = [tex](x+5)^{2}[/tex] -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

Answer:

-2.17

Step-by-step explanation:

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Answer: 10.5/6 - 6.5/6 = 2/3

Step-by-step explanation:

The answer is 10.5/6 - 6.5/6 = 2/3

5x-14=3x

Then you just solve for x

X being 7

Hope this helped!

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

Answer:

twelve

Step-by-step explanation:

y=2(3)+6

y=6+6

y=12

thats basically how you do it

Answer:

-6x-9=  1

2x^5-x^4+2x^3-6x^2+2x+4= 5

-4x^3-10^2+7x+5= 3

Step-by-step explanation:

i just did and everything was right

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429