Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.

Answer:

$6290

Step-by-step explanation:

37000 x .17 = 6290

Answer:

the second answer

juzt find the scale factors of the two numbers given (120 and 96).

Step-by-step explanation:

Answer:

-20 -d

Step-by-step explanation:

-(20+d)

Distribute he minus sign

-20 -d

The deepest aquatic ecosystem will be; open ocean.

An aquatic ecosystem is a water-based environment. Abiotic factors are the non-living components that form the environment in which organisms subsist in a current. The main abiotic factors in the marine environment are: light, temperature, salinity, and hydrostatic pressure.

Without pollution or acid rain, most of the lakes and streams could have a pH level of around 6.5.

Since, the acid rain has caused many lakes and streams to have much lower pH levels. Acidification of waters consists of reducing their ability to neutralize acids.

The abyssal zone is cold, highly-pressurized water with high oxygen but low nutrient levels.

The aquatic ecosystem which is the deepest; open ocean

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\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)

Option B is the answer.

Answer: C

i hope you can see my handwriting

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer:

The center of this circle is at \((-3,\, 2)\). The radius of this circle is \(3\).

Step-by-step explanation:

A circle with center \((a,\, b)\) and a radius of \(r\) (\(r > 0\)) could be expressed as:

\((x - a)^{2} + (y - b)^{2} = r^{2}\).

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

\((x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}\).

\(x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}\).

The equation in this question is:

\(x^{2} + 6\, x + y^{2} + (-4)\, y = -4\).

Match up the coefficients of \(x\) and \(y\) in the two equations.:

Thus, \(a = (-3)\) and \(b = 2\).

The constants of the two equations should also match up:

\((-a^{2} - b^{2} + r^{2}) = (-4)\).

Substitute in \(a = (-3)\) as well as \(b = 2\) and solve for \(r\):

\(r^{2} = 9\).

\(r = 3\) (since \(r > 0\).)

Therefore, the center of this circle is \((-3,\, 2)\). The radius of this circle is \(3\).

Answer:

$36.25 is the original price

Step-by-step explanation:

$25= on sale

to find out the original price, multiply .45* 25, then add 25

.45*25=11.25

11.25+25=36.25

Answer:

Step-by-step explanation:

The cost for a local move is given by y=x+100

where, x = number of hours

where, y = cost in dollars

given x = 3hours

y = 3 + 100

y = 103

therefore a move that requires 3 hours would be charged $103

Also given y = $400 we substitute value of y into the equation,

y = x + 100. this gives,

400 = x + 100

x = 400 - 100

x = 300

therefore the hours of a move costing $400 is 300hours

Answer:

1/2

Step-by-step explanation:

Triangle XYZ has endpoints (0,0) (0,8) and (4,6)

Triangle X'Y'Z' has endpoints (0,0) (0,4) and (2,3)

As you can see, all the coordinates from Triangle XYZ are halved to get the coordinates of Triangle X'Y'Z', so the scale factor is 1/2.

Answer: 60 ounces of flour

Step-by-step explanation:

8•7.5=60

Answer:

To find a we use sine

sin 60° = a / 4√3

a = 4√3sin60°

a = 6

To find b we use sine

sin 45° = a / b

a = 6

b = 6 / sin 45°

b = 6√2

To find c we use cosine

cos 60° = c / 4√3

c = 4√3 cos 60°

c = 2√3

To find d we use tan

tan 45° = a / d

a = 6

d = 6 / tan 45°

d = 6

Therefore a = 6 b = 6√2 c = 2√3

d = 6

That's option A.

Hope this helps

Answer:

20 blogs

Step-by-step explanation:

Step 1:  Determine the proportion of pop culture blogs:

First, we need to determine the proportion of pop culture blogs already written.  We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:

The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers

Proportion =  26 / (20 + 26 + 7 + 12)

Proportion = 26 / 65

Proportion = 0.4

Step 2:  Multiply the proportion of pop culture blogs by the number of upcoming blogs:

To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:

Expected number of pop culture blogs = proportion of pop culture blogs *  number of upcoming blogs

Expected number = 0.4 * 50

Expected number = 20

Thus, you should expect 20 pop culture blogs to be written given the data.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Complete Question

A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?

Answer:

The  margin of error is  \(E = 0.7\)

The  sample mean is  \(\= x = 4.2\)

Step-by-step explanation:

from the question we are told that

   The  upper limit is  \(k = 4.9\)

    The  lower limit is  \(r = 3.5\)

Generally the margin of error is mathematically represented as

      \(E = \frac{k - r}{ 2}\)

      \(E = \frac{ 4.9 - 3.5 }{2}\)

     \(E = 0.7\)

Generally the sample mean is mathematically evaluated as

        \(\= x = k - E\)

=>    \(\= x = 4.9 - 0.7\)

=>    \(\= x = 4.2\)

Answer:

21

Step-by-step explanation:

(-4)(-2)+2(6+5)

(8)+2(11)

10+11

21

Hope this helps! :)

Answer:32

Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32

Answer:

y=3x^2 -15x-42

Step-by-step explanation:

Answer:

The slope is 13/9 and the y intercept is -3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

13x -9y = 27

Subtract 13x from each side

13x -9y -13x =-13x+ 27

-9y = -13x+27

Divide each side by -9

-9y/-9 = -13x/-9 + 27/-9

y = 13/9 x -3

The slope is 13/9 and the y intercept is -3

Answer:

(1) A. 1 × 10^-4

(2)A. 8 × 10³

(3)B. 8 × 10⁷

Step-by-step explanation:

(1)

Mass of a worker Bee = 0.00011 kg

Since 1 × 10^-4 is = 1/10⁴ or 1/10000 or 0.0001 kg, Option A 1 × 10^-4 will be the correct answer

(2)

Mass of an African Elephant = 8139kg

Since 8 × 10³ is = 8 × 1000 or 8000kg, Option A 8 × 10³ will be the correct answer

(3) Mass Of a worker bee = 0.00011 kg

Mass of an African Elephant = 8139 kg

8139/0.00011 = 73,990,909.090

This value is the closest to 8 × 10⁷ or 8 × 10000000 or 80,000,000, Option B 8×10⁷ is the correct answer

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

the y intercept is 20

Step-by-step explanation:

Answer:

(0, 20)

Step-by-step explanation:

The y-intercept is where the line meets the y-axis.

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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The markup price of the flat-screen television is:

$699 + ($699 x 0.15) = $803.85

The commission that Richard will earn on the sale is:

$803.85 x 0.08 = $64.31

Therefore, Richard will earn a commission of $64.31 (rounded to the nearest cent).

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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Answer: 0.007

Step-by-step explanation:

Suppose that you have a ticket.

We have 3 prizes, and 300 tickets.

After the first tiket is drawn, someone win a prize, so now we have 299 tikets left and 2 prizes left.

Then, for the next draw, you have p = 1/299 of wining a prize.

If you did not win there, the probability for the third price is p = 1/298 (because there are 2 less tickets now)

Then the probability of winning at least one prize is:

P = 1/299 + 1/298 = 0.007