The ________________ is where a line crosses the y-axis.
a rate of change
b slope
c y-intercept

Answer:

30°

Step-by-step explanation:

Interior angle + exterior angle = 180

Because they form a linear pair.

Exterior angle = 180 - interior angle

= 180 - 150

= 30°

The measure of each exterior angle is 30°.

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.

Given that the measure of each Interior angle is 150°

We have to determine the measure of each exterior

Since an interior angle and an adjacent exterior angle of a polygon form a linear pair.

Therefore, the sum of the Interior angle and exterior angle adds up to 180°.

So Exterior angle = 180 - interior angle

⇒ Exterior angle = 180 - 150

⇒  Exterior angle = 30°

Hence, the measure of each exterior angle is 30°.

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Answer:

Step-by-step explanation:

100

Answer:

m=7

Step-by-step explanation:

m +2+5=14

m+7=14

-7       -7

m=7

Answer:

I beleive it is C I might be wrong.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ BEF and ∠ CFE are alternate angles and congruent, thus

3x + 20 = 2x + 50 ( subtract 2x from both sides )

x + 20 = 50 ( subtract 20 from both sides )

x = 30

Thus

∠ CFE = 3x + 20 = 3(30) + 20 = 90 + 20 = 110°

∠ CFE and ∠ AEF are same- side interior angles and are supplementary, thus

∠ AEF = 180° - 110° = 70° → B

Answer:

she can put it in a bank to gain interest

she can invest in the stock market

she can loan out money

Step-by-step explanation:

Depending on the compounding frequency, Leah's investment of $12,000 with a 4.5% annual interest rate would yield the following amounts after 10 years:

- Continuous compounding: approximately $18,843.48

- Daily compounding: approximately $19,212.03

- Monthly compounding: approximately $18,867.02

Leah's inheritance presents her with a golden opportunity to grow her wealth through strategic investment. With $12,000 at her disposal, she can explore various avenues to maximize the value of her funds. One option she's considering is investing in an account that offers a 4.5% annual interest rate.

To evaluate the potential returns from this investment, she needs to understand how different compounding frequencies affect the growth of her investment over time.

Let's start by defining the equations for the amount A(t) in the account after t years, using continuous compounding, daily compounding, and monthly compounding.

1. Continuous Compounding:

The formula for continuous compounding is given by:

[tex]\[ A(t) = P \times e^{rt} \][/tex]

where:

- A(t) is the amount of money in the account after t years,

- P is the principal amount (initial investment),

- r  is the annual interest rate (expressed as a decimal),

- t is the time in years, and

- e is the base of the natural logarithm, approximately equal to 2.71828.

Using Leah's values:

P = $12,000

r = 0.045 (4.5% expressed as a decimal)

Substituting these values into the formula, we get:

[tex]\[ A(t) = 12000 \times e^{0.045t} \][/tex]

To find the amount after 10 years, we can plug t = 10  into the equation and calculate the result.

[tex]\[ A(10) = 12000 \times e^{0.045 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times e^{0.45} \][/tex]

[tex]\[ A(10) \approx 12000 \times 1.57029 \][/tex]

[tex]\[ A(10) \approx \$18,843.48 \][/tex]

So, after 10 years of continuous compounding, Leah's investment would be approximately $18,843.48.

Next, let's consider daily compounding. In this case, interest is compounded 365 times per year, so the formula becomes:

[tex]\[ A(t) = P \times \left(1 + \frac{r}{365}\right)^{365t} \][/tex]

Using the same values as before, we can calculate:

[tex]\[ A(10) = 12000 \times \left(1 + \frac{0.045}{365}\right)^{365 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + \frac{0.045}{365}\right)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + 0.00012328767123\right)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.00012328767123)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.60100220887) \][/tex]

[tex]\[ A(10) \approx \$19,212.03 \][/tex]

After 10 years of daily compounding, Leah's investment would be approximately $19,212.03.

Finally, let's explore monthly compounding. With monthly compounding, interest is compounded 12 times per year, so the formula becomes:

[tex]\[ A(t) = P \times \left(1 + \frac{r}{12}\right)^{12t} \][/tex]

Using the same values as before, we can calculate:

[tex]\[ A(10) = 12000 \times \left(1 + \frac{0.045}{12}\right)^{12 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + \frac{0.045}{12}\right)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + 0.00375\right)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.00375)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.5722520173) \][/tex]

[tex]\[ A(10) \approx \$18,867.02 \][/tex]

After 10 years of monthly compounding, Leah's investment would be approximately $18,867.02.

In summary, depending on the compounding frequency, Leah's investment of $12,000 with a 4.5% annual interest rate would yield the following amounts after 10 years:

- Continuous compounding: approximately $18,843.48

- Daily compounding: approximately $19,212.03

- Monthly compounding: approximately $18,867.02

These calculations illustrate how different compounding frequencies can affect the growth of an investment over time. Daily compounding typically results in slightly higher returns compared to monthly compounding, while continuous compounding offers the highest potential returns due to its continuous nature.

By understanding these dynamics, Leah can make an informed decision about how to maximize the growth of her inheritance based on her investment preferences and goals.

The complete question is:

Leah has just inherited $12,000. She wants to invest the money so that she can increase the value of her inheritance. What are some of the ways she can do this?

1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.

a. Write equations for the amount A(t) that will be in the account after t years, if the interest is

compounded continuously, daily, and monthly. Then, find the amount after 10 years, rounded

to the nearest cent, for each method of compounding.

Answer:

[tex]sin(-x)[/tex]

Step-by-step explanation:

Odd functions follow the relation of

[tex]f(-x)=-f(x)[/tex]

Lets check for the most trivial value, does

[tex]sin(-0) = -sin(0)[/tex]

Well these values both equal 0, so this is correct!

What about another value?

[tex]sin(- \frac{\pi}{2})=-1\\-sin(\frac{\pi}{2})=-1[/tex]

In-fact this is strictly defined for all values of sin. Meaning that this is an odd function.

The example of an odd trigonometric function is sin(-x).

All functions that involved trig functions could be even, odd, or not. A function could be odd  if f(-x) = - f(x)

So, for sin, it is

sin (-0) = -sin(0)

Since these values both equal 0, so this is right

So, here sine be the odd function and cos is an even function.

Therefore, The example of an odd trigonometric function is sin(-x).

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Answer: 6 and 4

Step-by-step explanation:

Fill in the numbers with the correct variable and you get your answer. 6-0=6 6-2=4

Answer:

3x+12 is the sum

9x-2 is differences

Step-by-step explanation: Combine like terms

Answer x=-14.

Step-by-step explanation:

4+x/7

4+ -14/7

4+-2

2

Answer:

[tex]4 +\frac{x}{7}=2[/tex]

[tex]\frac{28 + x}{7} = 2[/tex]

28 +x = 14

x =14 - 28

x = -14

Hope this helped.

Step-by-step explanation:

The value of the expression is  [tex]\frac{m^4}{n^2}[/tex].

Option A is the correct answer.

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,

[tex](m^{2/3}n^{-1/3})^6[/tex]

This can be simplified as,

[tex]m^{2/3 \times6}[/tex] x [tex]n^{-1/3 \times 6}[/tex]

=[tex]m^{2\times2}[/tex] x [tex]n^{-1 \times2}[/tex]

= [tex]m^4[/tex][tex]n^{-2}[/tex]

= [tex]\frac{m^4}{n^2}[/tex]

Thus,

The value is  [tex]\frac{m^4}{n^2}[/tex].

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To rewrite an expression using only positive integer exponents, apply the rules of exponentiation and simplify the expression.

To rewrite an expression using only positive integer exponents, you can apply the rules of exponentiation. For example, if you have an expression like [tex]a^{-2}[/tex], you can rewrite it as [tex]\frac{1}{a^{2} }[/tex]

. Similarly, if you have a term with a negative exponent in the denominator, you can move it to the numerator and change the sign of the exponent to make it positive.

Here's a step-by-step example:

By following these steps, you can rewrite expressions using positive integer exponents.

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Answer:

13

Step-by-step explanation:

To get the hypotenuse (the longest side) you would use the Pythagorean Theorem ([tex]a^{2} + b^{2} = c^{2}[/tex])

Replace a and b with the two given sides and solve for c

[tex]5^{2} + 12^{2} = c^{2}[/tex]

25 + 144 = [tex]c^{2}[/tex]

169 = [tex]c^{2}[/tex]

Find the square root of both sides

[tex]\sqrt{169} = \sqrt{c^{2}}[/tex]

13 = c

Answer: H

Step-by-step explanation:Question 1(Multiple Choice Worth 5 points) (06.07A MC) What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular window frame is shown. The longest side has length labeled as 87 inches. The height of the frame is labeled as 63 inches. 48 inches 60 inches 70 inches 75 inchesanswer - 60Question 2(Multiple Choice Worth 5 points) (06.07A MC) The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles answer - 6.71Question 3(Multiple Choice Worth 5 points) (06.07A LC) The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 units 9.54 units 11.00 units 24.00 units answer - 8.54Question 4(Multiple Choice Worth 5 points) (06.07A LC) Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it? Four triangles E, F, G, H are shown from left to right. Triangle E has one side labeled as 2 and the other as 3, and the included acute angle is shown. Triangle F has both sides labeled as 3, and the included acute angle is shown. Triangle G has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle H has one side labeled as 6 and the other as 7, and the included obtuse angle is shown. answer h

Answer:

x < -4 or x > 8

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Step-by-step explanation:

l -4 +2x l -3 > 9

l -4 +2x l > 12

l 2x - 4 l > 12

2x - 4 > 12

2x > 16

x > 8

-2x + 4 > 12

-2x > 8

x < -4

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Answer:

see below

Step-by-step explanation:

l -4 +2x l -3 > 9

Add 3 to each side

l -4 +2x l -3+3 > 9+3

l -4 +2x l  > 12

We Separate into two inequalities, remembering to flip the negative inequality

 -4+2x>12        or            -4+2x<-12    

Add 4 to each side

  -4+4+2x>12+4   or                  -4+4+2x<-12 +4

2x> 16                      or                     2x< -8

Divide each side by 2

2x/2 > 16/2                  or              2x/2 < -8/2

x > 8    or                                x < -4

To graph we have open circles at 8 going to the right and at -4 going to the left

Answer:

a=4.25

b=13.5

Step-by-step explanation:

so basically you just multiply 18 x 0.25 and you get 4.25 then you subtract that from 18

Answer:

4.50 ,13.50

Step-by-step explanation:

ik i hate edgunity too

Look at the attached picture⤴

Hope it will help u..

The sum of the internal angle is 360 degrees. Then the measure of angle B is 115°.

It is a polygon that has four sides. In a parallelogram, opposite sides are parallel and equal. And its diagonals intersect at mid-point.

The quadrilateral shown is a parallelogram. The angle A is 65°.

∠D and ∠B are equal because they are alternate angles.

∠A and ∠C are equal because they are alternate angles.

Then the sum of the internal angle is 360 degrees.

∠A + ∠B + ∠C + ∠D = 360

∠A + ∠B + ∠A + ∠B = 360

                 ∠A + ∠B = 180

                          ∠B = 180 - 65

                          ∠B = 115

Thus, the measure of angle B is 115°.

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Part A:

This would aid throughout the comparison, since it could be used to examine the consequences of the medicines on some kind of collection of parrots, as well as the lack of either treatment.

Part B:

"Random sampling" would be the best way to randomly place the parrots.

Part C:

The best blocking method would be "Breed".

Thus the response above is correct.

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A control group is beneficial as a comparison reference to isolate the effects of the treatments. Parrots should be randomly assigned to avoid selection bias. Blocking by parrot breed would likely be more effective than by sanctuary, because breed potentially has a greater influence on cognitive health.

The inclusion of a control group provides a reference point for comparison and helps to identify the effects of the medicines by isolating other variables. Without a control group, it would be challenging to discern whether the observed improvements in the parrots' cognitive health were solely due to the medicines or external factors.

The best way to randomly place the parrots into the three groups is by using a random number generator or similar method to ensure equal and unbiased chance of being allocated to any group. This would mitigate any potential bias and ensure the findings are due to the effect of the Medicines and not the selection process.

Blocking by breed might be more beneficial as biological differences among breeds could influence cognitive health and the response to medication. Blocking by sanctuary would be less ideal as cognitive health could be influenced by a variety of situational factors, such as diet and care, which could introduce bias in the results.

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Answer:

b

Step-by-step explanation:

Answer:

36 leaves

Step-by-step explanation:

1 clover has 4 leaves

so if you have 9 clovers multiply the leaves by clovers by 4

1:4

9:36

Answer:

Step-by-step explanation:

Do you have a picture of the diagram so I can see where the 300 and 10 are placed :D ?

The height of the tree is 5.4 m

Step-by-step explanation:

Let the height of the tree be 'h'

Angle of elevation= 34°

distance from the rock on the ground

to the base of the tree = 8 m

we can use the tan function of trigonometry to find the height of the tree,

tan 34° = h/8

tan 34° = 0.67

tan 34° = h/8

0.67 = h/8

h = 8 x 0.67

h = 5.4m

The height of the tree is 5.4 m

The height of the tree to the nearest tenth of a meter is approximately 5.6 meters.

To calculate the height of the tree, we can use trigonometry, specifically the tangent function since we have the angle of elevation and the distance from the observer to the base of the tree.

Let's denote:

According to trigonometry,

[tex]\[ \tan(\text{angle of elevation}) = \frac{\text{height of the tree}}{\text{distance to the tree}} \][/tex]

Substituting the given values:

[tex]\[ \tan(34^\circ) = \frac{h}{8} \][/tex]

Now, let's solve for h:

h = 8 × tan(34°)

Using a calculator, we find:

h ≈ 8 × 0.6947

≈ 5.5576

Therefore, the height of the tree to the nearest tenth of a meter is approximately 5.6 meters.

Answer:

17 = 13 cent stamps

9 = 22 cent stamps

Step-by-step explanation:

Here is what we know:

a = 13 cent stamps

b = 22 cent stamps

Total stamps: 26

Total cost $4.19

Now we make equations based on what we know.

a + b = 26

13a + 22b = 419

Now we have to change the first equation so we can solve for the second. To do this, we have to find a similar factor for one of the variables. Let's change a.

Multiply the first equation by 13

13(a + b) = 13(26)

13a + 13b = 338

Now we put the two equations together and subtract. (Don't forget to change all the signs when you subtract)

   13a + 22b = 419

 - 13a -  13b  = - 338

=   0   +  9b   = 81

Solve for b.

9b = 81

b = 9

Plug b into the first equation to get a.

a + b = 26

a + 9 = 26

a = 17

17 = 13 cent stamps

9 = 22 cent stamps

You are done!

Hope this helped! :)

The number of each type of spend should be

17 = 13 cent stamps

9 = 22 cent stamps

Given that,  

Based on the above information, the calculation is as follows:

a + b = 26

13a + 22b = 419

Multiply the first equation by 13

13(a + b) = 13(26)

13a + 13b = 338

 13a + 22b = 419

 0   +  9b   = 81

9b = 81

b = 9

Plug b into the first equation to get a.

a + b = 26

a + 9 = 26

a = 17

So,

17 = 13 cent stamps

9 = 22 cent stamps

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Answer:

A. 4X4X4X4X4

C. 4^5

E. 2^10

Step-by-step explanation:

Answer:

A C and E

Step-by-step explanation:

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Answer:

The radius is 7 inches

Step-by-step explanation: The radius is half of the diameter and the unit of measure is inches. Unit of measurement includes inches, centimetres, meters, kilometres, etc.

Answer:

0.00045 (A)

Step-by-step explanation:

Answer:

A)  0.00045

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

When you distribute the two factors it would become a perfect square binomial because the -x and the x would cancel out leaving only x^2 -1, which is the difference of two squares.

Answer:

No because the when you distribute it out it would be (x^2 -1) which is not a perfect square trinomial equation. Also it cannot be a perfect square trinomial because one binomial has negative 1 and the other has positive 1 which indicates that it is not a perfect square.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

H is the value that is being added or subtracted from x in the equation

f(x)=a(x-h)^2 +k

-5 is greater than -6