The Chang family puts up holiday lights around their isosceles trapezoidal window. They use 20 feet of lights to go around the frame. How long is each leg of the window?

Answer:

\(Balance = \$21\)

Make a withdrawal of $21

Step-by-step explanation:

Given

\(Beginning = \$50\)

\(Checks = \$23\) (2 checks)

\(Withdrawal = \$5\)

\(Deposit = \$22\)

Solving (a): Show final balance

The transaction can be expressed as:\(Balance = (Beginning + Deposit) - (Withdrawal + Checks * Number\ of\ checks)\)

i.e.

Add cash inflow

Subtract outflow

This gives:

\(Balance = (\$50+ \$22) - (\$5+ \$23* 2)\)

\(Balance = (\$50+ \$22) - (\$5+ \$46)\)

\(Balance = (\$72) - (\$51)\)

\(Balance = \$72 - \$51\)

\(Balance = \$21\)

Solving (b): Get account balance to 0

To get his account to 0, he needs to make a withdrawal of the exact amount in his account (i.e. $21)

So, all he needs to do is to make a withdrawal of $21

Answer:

your answer will be option 2

None of the choices are correct.

Step-by-step explanation:

have a nice day and good luck!!!

Answer

Step-by-step explanation:

so, this triangle is an "impossible' triangle, b/c  even when the 5 and 4 sides are laid out, in opposite directions, they only make a distance of 9. so the side of 12 is not ever going to work in this triangle, it's just too long.  so the answer is none of the choices are correct.  To be fair, this question is incorrect.  The picture that is drawn, makes it look like the triangle could be real. when it's not.  like an Escher drawing. if  you don't know Escher drawings look  them up                                                                                        

The mileage costs for Brand C washer be than the mileage costs for Brand D  washer   is  $16.80, option ( a) is correct.

What's periodic diffrence ?

Periodic difference refers to the difference in a particular volume ( similar as cost or income) between two different options over the course of a time. It's calculated by multiplying the yearly or per- unit difference by 12 ( the number of months in a time). The periodic difference is a useful metric for comparing the long- term costs or benefits of different options over a time.

The difference in cost per cargo between Brand C and Brand D is$0.58-$0.44 = $0.14.

Multiplying this by the number of loads per month gives

0.14/ cargo x 10 loads/ month = $1.40/ month.

The periodic difference in cost would be

1.40/ month x 12 months/ time = $16.80/ time.

thus, the answer is ( a) $16.80.

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The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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Answer:

x=3

Step-by-step explanation:

-3 + 2 x 3 + 3 squared = 12

Answer:

To find out which one is the better buy we have to find out what the unit price of each one is.  To find a  unit price you divide the ounce by the cost.

Step-by-step explanation:

5/90=18 cents

12/240=5 cents

the 12 ounce can is less per ounce so the 12 ounce can is the better buy.

Answer:

C

Step-by-step explanation:

X-4 =-6                  X-4=-6

X=6+4                    X= -6+4

X=10                      X=-2

Answer: 1.9 x 4 [-12.94 divide 1.9 x 4] = the answer

Step-by-step explanation:

Answer:

4 books per month

Step-by-step explanation:

To find Alang's rate of reading, we need to divide the number of months by the number of books he read.

If he read 16 books in 4 months, then you set the problem up like this:

rate of reading = 16 / 4 = 4

9a^2 - 9

Uejdjeujdksjdndkdkdk

Answer:

It would hold .5 liters because 1000ml is equal to 1 liter

Step-by-step explanation:

Answer:

Anything greater than or equal to 17.

Step-by-step explanation:

7/8 of 17 is 14.875

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number will be 16 or greater than 16.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The sum of seven-eighths of a number and 20 is 34 at minimum.

This means,

(7/8)M + 20 = 34

7M/8 = 34 - 20

7M/8 = 14

7M = 14 x 8

M = 2 x 8

M = 16

This means,

The number will be 16 or greater than 16.

Thus,

The number will be 16 or greater than 16.

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Answer:

-17/12

Step-by-step explanation:

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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The function has at least three zeros

A continuous function in mathematics is one that causes the value of the function to vary continuously while the input changes continuously (i.e., without a jump). As a result, there aren't any discontinuities—abrupt shifts in value.

The zero is defined as the point where the function has a value of zero.

Examining the function as shown in the table there must be a zero between

-1.19 and 4.62

3.78 and -0.64

-4.7 and 7.28

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Answer:

38

38 38 38 38 38 38 38 38okay so all you're going to do 4 * 3 + 4 * 4 what is going to give you 12 +16

Answer:

$2.95/lb

Step-by-step explanation:

2 tons to lbs= 4000lbs

11,800/4000=2.95

Answer:

d

Step-by-step explanation:

Answer:

Point Form (graph) : ( − 22/ 3 , − 22/ 3 )

Equation Form: x = − 22/ 3 , y = − 22/ 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

64 hamburgers

Step-by-step explanation:

16 ÷ 1/4 = 64

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

13, 16.5, 12

Step-by-step explanation:

-7x= -91 divide both sides by -7 to isolate x

\(\frac{-7}{-7} x=\frac{-91}{-7}\) any number divided by itself like in -7/-7 =1

x=13

0.5x + 1.75 = 10 subtract 1.75 from both sides

0.5x +1.75-1.75 =10 -1.75

0.5x = 8.25 divide by 0.5 both sides

\(\frac{0.5}{0.5} x=\frac{8.25}{0.5}\)

x=16.5

0.75h +3=12 subtract 3 from both sides

0.75h = 12-3 divide both sides by 0.75

\(h= \frac{9}{0.75}\) = 12

Answer:

5 roots

Step-by-step explanation:

Given

\(9x^5 + 12x^4 - x^2 + 8x + 4 = 0\)

Required

The number of roots

The degree of a polynomial represents the number of roots.

In the given equation, the degree of the polynomial is 5.

Hence, the number of roots is 5

Answer:

C: EAF Is the correct answer

Answer:

1, -4, -9, -14, -19, -24, -29, -34, -39, -44, -49, -54 = -318

Step-by-step explanation:

Answer:

The Answer is -318.

Step-by-step explanation:

1 + (-4) + (-9) + (-14) + (-19) + (-24) + (-29) + (-34) + (-39) + (-44) + (-49) + (-54)