How many congruent triangles do the midsegments of an equilateral triangle partition the triangle into? Explain.

Problem

You deposit $2000 into a bank account paying 4.5% simple interest per year. You left the money in for 8 years. How much interest do you get at the end of those 8 years?

Result

The interest is $720.

Then you add the money you invested to your interest so your answer would be  ' C ',

I think I'm not that great with math but I really hope I helped you .

Answer:

D. $2630

Step-by-step explanation:

Given,

The principal amount, P = $ 2000,

Annual rate of interest, r = 4.5 % ,

Thus, the interest for 7 years,

[tex]I=\frac{P\times r\times 7}{100}[/tex]

[tex]=\frac{2000\times 4.5\times 7}{100}[/tex]

[tex]=\frac{63000}{100}[/tex]

[tex]=630[/tex]

Hence, the amount after 7 years or at the beginning of the 8th year is,

[tex]A=P+I=2000+630=\$ 2630[/tex]

Option 'D' is correct.

The first questions answer is 50.

The second questions answer is 480

The third is 90

The fourth answer is 180

Lastly the last answer is 180 again

Why is David playing games from a cd. Anyways, The answers to the second one is 480. I just so happen to be on the same question.

This is a tricky question but my best guess is .5 or 1/2 a foot per minute. I divided 3-8 as a decimal and added one/4th part to it to be a full minute.

Answer:

Equation is [tex]y=\frac{-2}{3} x+3[/tex].

Graph is attached.

Step-by-step explanation:

General format of a linear equation is given as,

y=mx+c

where,

y is the dependent variable.

m is the slope/ gradient

x is the independent variable

c is the y-intercept

By substituting values to the above general equation format we get;

[tex]y=\frac{-2}{3} x+3[/tex].

Graph is attached.

300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.

300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.

the answer is a, 600

The distance to the lake surface from Lisa's hand is 48 inches. The distance to the rock is increasing at the rate of 2 inches per second.

The distance (y) from Lisa's hand to the rock at time t (seconds) is ...

... y = 48 +2t

The answer to this question is 0.9

We know that

sequre of 9 is equal to 81  as [tex]9^2 = 81[/tex]

Then sequre of 0.9 will be

[tex]0.9^2 = 0.81[/tex]

So,

b = [tex]\sqrt{ 0.81}[/tex]

b = [tex]\sqrt{ 0.9^2}[/tex]

Exponent and square root cancel out each other

So, the answer is 0.9.

x + (2/3)x = 2x-4

(2/3)x = x-4

2x = 3x-12

0= x-12

12 = x

For this case we must clear x from the given equation:

[tex]y = x ^ 2 + 23[/tex]

We passed 23 subtracting the other side of equality:

[tex]y-23 = x ^ 2[/tex]

By definition, [tex]a ^ 2 = b[/tex]is written as [tex]a = +/-\sqrt{b}[/tex]

So, we have:

[tex]x = + / -\sqrt{(y-23)[/tex]

So, the solution of [tex]y = x ^ 2 + 23[/tex] for x is:

[tex]x = + / -\sqrt{(y-23)[/tex]

Answer:

[tex]x = + / -\sqrt{(y-23)[/tex]

[tex]x1=+\sqrt{(y-23)[/tex]

[tex]x2=-\sqrt{(y-23)[/tex]

Answer:

x = +/- (square root) y-23

Step-by-step explanation:

A P E X

10x + 2y > 20

Solution

Step 1: First we have to rewrite the given equation y in terms of x.

Subtract 10 x from both sides, we get

10x - 10x + 2y > -10x + 20

2y > -10x + 20

Divide both sides by 2, we get

y > -5x + 10

Step 2: Now we have to find the coordinates by plugging in the values of for x = -1, 0, 1

and  find the corresponding values for y.

Plug in x = -1,

y = -5(-1) + 10 = 5 + 10 = 15.

The coordinates are (-1, 15)

Plug in x = 0, we get

y = -5(0) +10 = 10

The coordinates are (0, 10)

Plug in x = 1, we get

y = -5(1) + 10 = -5 +10 = 5

The coordinates are (1, 5)

Step 3: Now plot the points on a grid and draw the draw the dotted line because it is greater than. Since it is grater than we have to shaded the region above the line.

Note: Attached the graph. Please have a look at it.

Thank you. :)

lily get 3 /(4+3)

she get 3/7

Final answer:

Lily receives 3/7 of the total money when it is shared in a 4:3 ratio with Annie.

Explanation:

If Annie and Lily share some money in the ratio of 4:3, we can use this ratio to determine what fraction of the money Lily gets. The total parts of the ratio are 4 (for Annie) plus 3 (for Lily), which equals 7 parts in total.

Lily's share is 3 parts of the total 7 parts. So, Lily receives 3/7 of the total money. This fraction represents Lily's portion when the money is divided according to the given ratio.

3/4x + 3 = 5/6

(3/4 * 12)x + 3 = (5/6 * 12)

9x + 3 = 10

You have to find the lowest common denominator (LCD) by finding the number that you can multiply into every fraction to turn them into a whole number.

The last two ones

< Less than

> Greater than

= Equal to

The correct statements are '15 < 700' and '700 = 700'.

In mathematics, we use comparison operators to establish relationships between numbers.

By comparing the given numbers, we see that 15 is less than 700, which makes the correct statement: '15 < 700'. Additionally, the statement '700 = 700' is also correct, as these values are identical and other statements are incorrect.

Answer:

  Change in number of bushels after 6 days = 46.4 bushels.

Explanation:

 A farmer has 140 bushels of wheat to sell at his roadside stand.

  He sells an average of [tex]15\frac{3}{5}[/tex] bushels each day = [tex]\frac{15*5+3}{5} =\frac{78}{5}[/tex]bushels

  Total number of bushels sold after 6 days = 6* [tex]\frac{78}{5}[/tex] = 93.6 bushels.

  Change in number of bushels after 6 days = 140 - 93.6 = 46.4 bushels.

Answer: He has about 46 bushels left (46.4)

Step-by-step explanation:

Hi, to answer this question we have to multiply the average sell of bushels per day (15 3/5) by the number of days stated (6):

Finally we have to subtract the number obtained to the number of bushels that the farmer had at the beginning.

He has about 46 bushels left (46.4)

Feel free to ask for more if needed or if you did not understand something.

To solve the expression 8.246 minus 5 hundredths, we subtract 0.05 from 8.246, aligning the decimal places, which gives us the final answer of 8.196, accurately rounded to the thousandths place.

To solve 8.246 - 5 hundredths, we need to understand what five hundredths mean. Five hundredths is the same as 0.05. So, the problem now looks like 8.246 - 0.05.

When we subtract these two values, we need to line up the decimal places properly:

Subtracting, we get:

It's important to note that when subtracting values, you must consider the position of the farthest right significant figure. In this case, the least precise number (original number) had its farthest right significant figure in the thousandths place, so our final answer is also rounded to the thousandths place.

Converting a power into an equivalent multiplication expression involves rewriting the power's base and exponent using multiplication. The exponent signifies how many times to multiply the base by itself.

Converting a power into an equivalent multiplication expression with two factors involves rewriting the power's base and exponent. Consider, for example, a power like 6^3. This expression can be rewritten as multiplication with two factors in different ways, such as 6 x 6 x 6 or 36 x 6. The exponent value tells us how many times to multiply the base by itself. Remember that this is true for all types of powers, including whole numbers, negative numbers, and fractions, which means your multiplication expression factors may differ.

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Answer:

The mark up is $21.16 and the final selling price is $44.14

Step-by-step explanation:

To find the mark up price, you simply multiply the cost by the mark up percentage. This will give you the mark up.

$23 * 92% = $21.16

Now to find the total selling price, we add the cost and the mark up together.

$23 + $21.16 = $44.16

Final answer:

The amount of markup on the Algebra 1 book is $21.16, calculated by multiplying the wholesale price of $23 by the markup percentage of 92%. The selling price of the book is $44.16, the sum of the wholesale price and the markup.

Explanation:

To calculate the amount of the markup for the Algebra 1 books, we will apply a percentage increase to the wholesale price. The wholesale price of each book is $23, and the markup percentage is 92%. To find the markup amount, we multiply the wholesale price by the markup percentage:

Markup = wholesale price × Markup percentage

Markup = $23 × 0.92
Markup = $21.16

Now, to calculate the selling price, we add the markup to the wholesale price:

Selling Price = Wholesale Price + Markup
Selling Price = $23 + $21.16
Selling Price = $44.16

Therefore, the amount of the markup is $21.16, and the selling price of the book is $44.16.

The attachment shows a model for 2².

Hey there!!

Question given :

... 2²

2² = 2 × 2 = 4

Hence, 2² = 4.

In the options given, the only answer which suites the question is the 4 squares.

Hope my answer helps!!

ANSWER

The zeros are [tex]x=-5,x=0,x=5[/tex]

EXPLANATION

Given;

[tex]f(x)=x^4-25x^2[/tex].

We can rewrite the function as

[tex]f(x)=x^2(x^2-25)[/tex]

[tex]\Rightarrow f(x)=x^2(x^2-5^2)[/tex]

[tex]\Rightarrow f(x)=x^2(x-5)(x+5)[/tex]

The zeros are found by equating the function to zero.

[tex]\Rightarrow x^2(x-5)(x+5)=0[/tex]

[tex]\Rightarrow (x-5)=0[/tex]

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=5[/tex]

Or

[tex]\Rightarrow (x+5)=0[/tex]

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=-5[/tex]

Or

[tex]\Rightarrow x^2=0[/tex]

This last root has a multiplicity of 2.

That is

[tex]x=0[/tex] repeats two times.

Since the multiplicity is even, the graph touches the x-axis at the point [tex]x=0[/tex].

See graph.

The zeros of the function ƒ(x) = x4 -25x2 are -5, 0, and 5. Each of these zeros has a multiplicity of 1. The graph crosses the x-axis at each of these zeros, indicating odd multiplicities.

The polynomial function given is ƒ(x) = x4 -25x2. In order to find the zeros, you set the function equal to zero and solve for x: 0 = x4 -25x2. This can be rewritten as x2(x2 - 25) = 0. From this, it's clear that x = 0 is a zero of the function. The other zeros can be found by setting x2 - 25 = 0, resulting in x2 = 25, and therefore, x = ±5. So, the zeros are -5, 0, and 5. Each of these zeros has a multiplicity of 1, because the factorization of f(x) doesn't include any squared terms. The graph crosses the x-axis at each of these points, which is characteristic of odd multiplicities.

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Final answer:

To find the value of x, we can use the given equations and the Angle Sum Property of a Triangle. By substituting the known values into the equation (9x-10), we can solve for x.

Explanation:

To find the value of x, we can use the facts given in the question. We know that m<mkl = 83 and m<jkl = 127. We also know that m<jkm = (9x-10). From these facts, we can form two equations:

1. m<mkl = 83

2. m<jkl = 127

Using these equations, we can determine the value of x.

Let's solve the first equation:

1. m<mkl = 83

Since m<mkl = 83 and m<jkl = 127, we can substitute these values into equation (9x-10) according to the Angle Sum Property of a Triangle:

2. 83 + 127 + (9x-10) = 180

Simplifying the equation, we get:

3. 210 + 9x - 10 = 180

Combining like terms, we have:

4. 9x + 200 = 180

Subtracting 200 from both sides, we get:

5. 9x = -20

Dividing both sides by 9, we find:

6. x = -20/9

Therefore, the value of x is -20/9.

He has 25 student n his class

Answer:

60 hummingbirds can be fed by a 12 ounce feeder.

Step-by-step explanation:

In order to solve this problem, we can make a ratio table. For every 16 ounce feeder, 80 hummingbirds can be fed. However, we want to calculate how many hummingbirds can be fed by a 12 ounce feeder. We can get a common denominator for our ratio to solve this. 16:80 divided by 4:4 is 4:20. Since 4 is a factor of 12, we can multiply 4 by 3 to get 12. However, what we do to one section we do to the other. 20 x 3 is 60. 60 hummingbirds can be fed by a 12 ounce feeder.