Janine is packing carrots. each large box holds 20 2-pound bags of carrots. if janine has 800 bags of carrots, how many boxes can she fill? a. 20 boxes b. 40 boxes c. 80 boxes d. 200 boxes

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

x = \(\frac{17}{5}\)

Step-by-step explanation:

(8x - 12) = (3x + 5) ← remove parenthesis

8x - 12 = 3x + 5 ( subtract 3x from both sides )

5x - 12 = 5 ( add 12 to both sides )

5x = 17 ( divide both sides by 5 )

x = \(\frac{17}{5}\)

or x = 3.4 ( in decimal form )

Answer: Answer is 1

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Step-by-step explanation:

what about now hope it helps

The area of the frame that's not covered by the picture will be 12cm²

From the information, a picture measuring 10cm by 5cn is mounted on a rectangular frame that's 12cm by 6cm.

The area of the frame that's not covered by the picture will be:

= (12 × 6) - (5 × 10)

= 72- 50

= 12cm

The area of the frame that's not covered by the picture will be 12cm²

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A picture measuring 10cm by 5cn is mounted on a rectangular frame that's 12cm by 6cm. What is the area of the frame that's not covered by the picture?

Rounded to one decimal place, the average annual rate for Australia's kangaroo population is -23.1%. So, the population of kangaroos has been decreasing at an average annual rate of 23.1% per year.

To determine the average annual rate of change, we need to find the difference in the population between 2001 and 2011 and divide that by the number of years (2001 - 2011 = 10 years).

The difference in population between 2001 and 2011 is: 57,430,030 - 34,303,680 = 23,126,350

To get the average annual rate of change, we divide that difference by the number of years: 23,126,350 ÷ 10 = 2,312,635

To convert the annual rate to a percentage, we multiply by 100: 2,312,635 x 100 = 231,2635%

Rounded to one decimal place, the average annual rate for Australia's kangaroo population is -23.1%.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is the interest on a deposit that is calculated not only on the initial principal, but also on the accumulated interest from previous periods. In other words, it refers to the interest on a loan or deposit, where the interest is added to the principal, so that interest is also earned on the interest for the next period.

This results in the interest compounding, or growing at an accelerating rate over time, as the interest earned in each period is added to the principal, and the interest is calculated on the new, higher principal amount. Compound interest is different from simple interest which is only calculated on the original principal.

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The number that gives the exact value of 4 5/6 is 29/6

The number is given as:

Number =  4 5/6

Convert the above number to improper numbers

Number = 29/6

Hence, the number that gives the exact value of 4 5/6 is 29/6

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Answer:

you multiply both side it gives you

-111.495

Answer:

Step-by-step explanation:

i cant see your pic to see what you are diling with

The distance of library from the community pool can be determined as.

Thus, the requried distance is 7.1 km.

Answer: C

Step-by-step explanation:

To find the surface area of a cone, you use the formula \(A=\pi r(r+\sqrt{h^2+r^2} )\). Since we are already given the height and radius, all we have to do is plug in the values and solve.

\(A=9\pi (9+\sqrt{41^2+9^2} )\)       [solve inside of square root]

\(A=9\pi (9+\sqrt{1762} )\)             [parenthesis]

\(A=9\pi (50.976 )\)                   [multiply]

\(A=458\)

Therefore, the closest answer is C.

Answer:

The commission is $2460. If it is doubled it is $4920

Step-by-step explanation:

Multiply the sale by the percent as a decimal. In this case it would be 41000 x 0.06 = 2460

Answer: v=6

Step-by-step explanation:

Answer:

6 it's because I did this stuff in 6th grade.

Step-by-step explanation:

2 x ? -3=9. 2 x 6 - 3 = 9

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Answer:

The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.

Step-by-step explanation:

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer:

picture #1 - 50.27 square units

picture #2 - 113.10 square units

picture #3 - 380.13 square units

Step-by-step explanation:

picture #1 - area = πr^2 -> π*4^2 = 50.27 square units

picture #2 - area = πr^2 -> π*6^2 = 113.10

picture #3 - area = πr^2 -> π*11^2 = 380.13

156 pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added

You will need to consider four cases.

when _999 and _000 are the last three digits of consecutive numbers. Just possible cases are 1999, 2000

At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. 5 possible scenarios (corresponding to (0,1), (1,2), (2,3), (3,4), and (4,5) at the hundredth place) exist.

when the last digit of consecutive numbers is in the form ____ 9 and ____ 0. 5*5 = 25 possible scenarios.

when none fall into that category, possible case=. 5*5*5 = 125,

and the answer is 125+25+5+1 = 156.

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Answer: (A). The sum of cans his a rational number

Step-by-step explanation: natural smart

The difference in the Social Security and Medicare taxes paid is 1767.5.

a. The Social Security tax s(x) for 1978 can be expressed as a piecewise function as follows:

s(x) = 0.0605*min(x,17700)

b. The Social Security tax s(x) for 1988 can be expressed as a piecewise function as follows:

s(x) = 0.0751*min(x,45000)

c. The difference in Social Security and Medicare taxes paid between 1978 and 1988 is calculated as follows:

Difference = 0.0751*min(50,000,45000) - 0.0605*min(50,000,17700)

Difference = 1767.5

This means that if a person earned $50,000 in 1978 and $50,000 in 1988, the difference in the Social Security and Medicare taxes paid is 1767.5. This is because in 1978 the maximum taxable income was $17,700 and the Social Security and Medicare rate was 6.05%, so the Social Security and Medicare taxes paid would be 0.0605*min(50,000,17700) = 1053.5. In 1988, the maximum taxable income was increased to $45,000 and the Social Security and Medicare rate was increased to 7.51%, so the Social Security and Medicare taxes paid would be 0.0751*min(50,000,45000) = 2821. The difference between these two amounts is 1767.5.

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In order to add binary numbers, you add the digits starting from the rightmost position and work your way left, carrying over to the next place value if necessary. If the sum of the two digits is 2 or greater, you write down a 0 in that position and carry over a 1 to the next position.

Example : Binary addition: 10101 + 11101 Add the columns starting from the rightmost position: 1+1= 10, 0+0=0, 1+1=10, 0+1+1=10, 1+1=10 Write down a 0 in each column and carry over a 1 in each column where the sum was 2 or greater: 11010 is the result

Converting binary to hexadecimal: Starting from the rightmost position, divide the binary number into groups of four bits each. If the leftmost group has less than four bits, add zeros to the left to make it four bits long. Convert each group to its hexadecimal equivalent.

Example: 1101 0100 becomes D4 Hexadecimal addition: Add the hexadecimal digits using the same method as for decimal addition. A + B = C + 1. The only difference is that when the sum is greater than F, you write down the units digit and carry over the tens digit.

Example: 7A + 9C = 171 Start with the rightmost digit and work your way left. A + C = 6, A + 9 + 1 = F, and 7 + nothing = 7. Therefore, the answer is 171. Converting hexadecimal to binary: Convert each hexadecimal digit to its binary equivalent using the following table:

Hexadecimal Binary 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 A 1010 B 1011 C 1100 D 1101 E 1110 F 1111Then write down all the binary digits in order from left to right. Example: 8B = 10001011

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After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

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Answer:

0.0096

Step-by-step explanation:

hope this help you out

The value of x in the given linear equation is determined as 5.

The given parameters;

x + 3 = 2x - 2

To determine the value of x, make x the subject of the formula;

x + 3 = 2x - 2

collect like similar terms together;

3 + 2 = 2x - x

5 = x

x = 5

Thus, the value of x in the given linear equation is determined as 5.

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Answer:

x=11/3

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

11 8/100 +2 25/100 is 13 33/100

(10+j2)/(-2+j1) = -5-j3, Subtract the real and imaginary parts of the numerator from the real and imaginary parts of the denominator.

To solve this problem, we can use the following steps:

Simplify the result.

The following is a more detailed explanation of each step:

Expanding the numerator and denominator:

(10+j2)/(-2+j1) = (10Re(1) + 10Im(1) + j2Re(1) + j2Im(1)) / (-2Re(1) - 2Im(1) + j1Re(1) + j1Im(1))

= (10 - 2j) / (-2 - 1j)

Subtracting the real and imaginary parts of the numerator from the real and imaginary parts of the denominator:

Therefore, the correct answer value  to the problem is -5-j3.

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Answer:

b

Step-by-step explanation:

i need points

In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:

This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.

With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.

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Answer:

The total number of boxes of canned food brought in by the three grades is 17.63 boxes

Step-by-step explanation:

To find the total number of canned foods brought in by the three grades, we will have to add the number of canned foods brought by each of the grades to each other. Careful attention has to be paid to the decimal points.

Canned foods brought by 6th graders: 5.75 boxes

Canned foods brought by 7th graders: 6.5 boxes

Canned foods brought by 6th graders: 7/1.3 boxes

We may have a slight challenge adding in 7/1.3 boxes to the other figures. What we can do now is to evaluate it to a decimal value by dividing it up.

7/ 1.3 will be the same thing as 7 divided by 1.3 = 5.38 boxes.

hence, we have 5.75 +6.5+ 5.38= 17.63 boxes

The total number of boxes of canned food brought in by the three grades is 17.63 boxes