E=4i+3j A=5i finfd E.A=EAcos

Answer: $28

Step-by-step explanation:

The price of water in Year 1 is $1 per unit. There are 8 units so their value is:

= 8 * 1

= $8

Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:

= 10 * 2

= $20

Total value of the basket in year 1 is:

= 20 + 8

= $28

Answer: 3.6

Step-by-step explanation:

2.70 x 5 = 13.50

31.50 - 13.50 = 18

18 / 5 = 3.6

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Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.

To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).

The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.

We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.

Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.

To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)

Density = 600g / 600 cubic feet = 1g/cubic foot

Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.

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Answer:

Let x be the number of gallons of the 20% solution and let y be the number of gallons of the 5% solution.

Your system would be:

x+y=15

0.2x+0.05y=(0.13)(15)

Solve the system using either elimination or substitution method, or a combination of the two.

I am available for one-on-one help. Don't be afraid to ask!

Answer:

x≤8

Step-by-step explanation:

let the number be x

¾x+14≤20

LCM=4

3x+56≤80

3x≤80-56

3x≤24

x≤8

I am unable to add number line here

The number we get after solving the inverse exponent 4⁻⁹ is 1/262144.

Given that,

The number is 4⁻⁹

We have to solve the number.

A negative exponent is the multiplicative inverse of the base raised to a power with the opposite sign of the supplied power. In simple terms, we write the reciprocal of the integer and solve it similarly to positive exponents. We are aware that a number's exponent indicates how many times the base should be multiplied.

Take the number,

4⁻⁹

1/4⁹

1/(4×4×4×4×4×4×4×4×4)

1/(262144)

Therefore, The number we get after solving the inverse exponent 4⁻⁹ is 1/262144.

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Answer:

x=x

Step-by-step explanation:

Answer:the average velocity of the particle is, 1.4 meter/second.

Step-by-step explanation:

Answer:

Jane is 57  9/20 inches tall.

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

independence is the correct answer

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer:

B. 38%

Step-by-step explanation:

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

its true

Step-by-step explanation:

Answer:

Im sorry I don't quite understand but here's but I'm going by:

Step-by-step explanation:

4 blue tiles + 8 blue tiles, represents the sun 4+8. Which equals 12.

sorry if this doesn't help!

Answer:

  B.  a line segment

Step-by-step explanation:

The wording "straight path" tells you the figure is a line or part of a line. The description "two endpoints" tells you the part of the line is bounded, hence must be ...

  a line segment

A. A circle has no end points is not a straight path

C. An angle is the space between two rays. Those have one common endpoint.

D. A ray is part of a line with one end point.

Answer:

0.68

Step-by-step explanation:

7 is in the hundredth place and since 8 is after and it's bigger than 5, the 7 becomes 8 so 0.68

Hope this Helps!

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Problem 1

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

Explanation:

1/4 = 0.25

She eats 25% of a pizza in 12 minutes

We can form the ratio 0.25/12

This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.

Solve for x

0.25/12 = x/18

0.25*18 = 12x ..... cross multiply

4.5 = 12x

12x = 4.5

x = 4.5/12

x = 0.375

x = 375/1000

x = (125*3)/(125*8)

x = 3/8

She ate 3/8 of the whole pizza in 18 minutes.

There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.

Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".

===================================================

Problem 2

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

Explanation:

We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30

Solving for x leads to...

0.25/12 = x/30

0.25*30 = 12x

7.5 = 12x

12x = 7.5

x = 7.5/12

x = 0.625

x = 625/1000

x = (125*5)/(125*8)

x = 5/8

She will eat 5/8 of the pizza in 30 minutes.

Answer:

The answer is C

Step-by-step explanation:

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

466

Step-by-step explanation:

nnnnnnnn

Answer:

\(\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)\)

Step-by-step explanation:

let \((x_1,y_1)=(9,-8)\)

let \((x_2,y_2)=(10,9)\)

\(\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

\(\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )\)

\(\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )\)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values