Add these fractions using fraction bars after choosing a common denominator Use the fraction bar inactivate to find the difference

ANSWER :

EXPLANATION :

Step 1. The information that we have is:

The final amount that Michael wants to save is:

We will call that amount A.

The annual percentage rate of the investment, which we will label as r, is:

We will need this annual percentage rate represented as a decimal number, therefore, we divide it by 100:

The time of the investment, t, is 3 years:

And it is compounded daily, let n be the number of times of compounding in a year:

Step 2. We need to find the initial amount of the investment, which will be called P or principal.

The formula we will use to find it is:

Step 3. Substituting the known values:

From this equation, we need to solve the operations and solve for P, the principal amount of the investment.

Step 4. Simplifying the equation:

Continue simplifying:

Then, we solve for P:

Rounding to the nearest cent (2 decimal places) The amount that he needs to invest is $42,621.67

Answer: $42,621.67

Answer:

Given points are,

A'(2,3) and A(3,-4), under the translation.

we get the graph as,

where B is A(3,-4) and A is A'(2,3).

A translation by 1 unit left and 7 units up.

Answer is:

A translation by 1 unit left and 7 units up.

By definition, a perfect square trinomial is a trinomial that can be written as the square of a binomial. It is in the form:

The simple trinomial is in the form:

Not all the simple trinomials can be written as the square of a binomial, then we need to check if the trinomial follows the structure of the perfect square trinomial. If it doesn't, then the factors won't be the same, and this is the main difference.

a. The given trinomial is:

If it is a perfect square trinomial then:

b. The given trinomial is:

Let's check if it is a perfect square trinomial:

As ratio is not given, we cannot prove that they are scaled copy.

Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.

Given,

Polygon ZSCH is a Scaled copy of Polygon XJYN.

We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.

As ratio is not given, we cannot prove that they are scaled copy.

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we have that

between m<3 and m<7 -----> no relationship (because q and p are not parallel)

Part 2

the relationship between m<12 and m<10

is

vertical angles

m<12=m<10 ------> by vertical angles

Hayley's rectangular bedroom is 6 meters by 5 meters. What is the diagonal distance from one corner to the opposite corner? If necessary, round to the nearest tenth.

Apply the Pythagorean Theorem

c^2=a^2+b^2

we have

a=6 m

b=5 m

c^2=6^2+5^2

c^2=36+25

c^2=61

square root c=7.8 m

The given ratio is 9/5

This ratio is already in the simplified form. To find equivalent ratios, we would multiply the numerator and denominator by constant numbers. We have

If we multiply by 2, it becomes

9 * 2/5 * 2 = 18/10

If we multiply by 3, it becomes

9 * 3/5 * 3 = 27/15

If we multiply by 4, it becomes

9 * 4/5 * 4 = 36/20

Thus, three equivalent ratios are

18/10, 27/15 and 36/20

Question:

Solution:

This computer program carries out a single mathematical operation in

then, to complete 2.5 x 10^3 mathematical operations the program will take a time of:

thus, the correct answer is:

Given data:

The given coordinate of L is (-1,4).

The given coordinate of M is(-1, -3).

The expression for LM length is,

Thus, the LM length is 7 units.

Given:

The sum of three numbers is 81, The third number is 2 times the second, The first number us 9 moe than the second.

Required:

We need to find all the numbers

Explanation:

Assume that a, b and c are the first, second and third numbers respectively.

By given ststement

substitute c and a in equation (i)

now put value of b in equation (ii) and (iii)

and

FInal answer:

first number a = 27

second number b = 18

third number c = 36

Answer:

y = 2x + 6

Explanation:

The slope-intercept form of a linear equation can be found as:

Where m is the slope and it is calculated as:

And (x1, y1) and (x2, y2) are values from the table. So, we can replace (x1, y1) by (0,6) and (x2, y2) by (1, 8):

Then, the slope is:

Therefore, the equation of the line is:

So, the answer is y = 2x + 6

Solution

Since the robots must be at least 37 inches tall to enter the competition.

Therefore, the height of any robot must be Any value greater than or equal to 37

Solution

- A probability, by definition, is a fraction that is less than or equal to 1.

- The number 46/45 is a number greater than 1.

- Thus, the number 46/45 CANNOT be a probability

Answer: [tex]y=-\frac{5}{2}x+16[/tex]

Step-by-step explanation:

The equation in point-slope form is [tex]y-1=-\frac{5}{2}(x+6)[/tex]. To find the equation in slope-intercept form, isolate [tex]y[/tex].

[tex]y-1=-\frac{5}{2}(x-6)\\\\y-1=-\frac{5}{2}x+15\\\\y=-\frac{5}{2}x+16[/tex]

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

Turn the 48in to ft

Then, 48 inches is equal to 4ft.

Comparing the given quatities you get that:

Answer:

-0.6, -0.41, 0.09, 0.39, 0.7

Step-by-step explanation:

Negative numbers: The higher the absolute number, the lower it is. For example, -2 is lower than -1.

Positive numbers: The lower the absolute number, the lower it is. For example, 1 is lower than 2.

In this question:

We have these following values:

0.7, 0.39, 0.09, -0.41, -0.6

Ranking from lowest to highest, it is:

-0.6, -0.41, 0.09, 0.39, 0.7

We have that, for any triangle, the sum of all its angles equals 180. In this case, we have the following:

Now we solve for x to get the following:

We have that x = 24, now to find the angles, we substitute this value on each expression:

therefore, the remaining angles are 48° and 36°

The function is solved below

What is a function?

The function is instantly given a name, such as a, in functional notation, and its description is supplied by what it does to the input x, using a formula in terms of x. Instead of sine, put sine x. (x). Leonhard Euler invented functional notation in 1734. Some commonly used functions are represented with a symbol made up of many letters (usually two or three, generally an abbreviation of their name). In this scenario, a roman font is typically used, such as "sine" for the sine function, rather than an italic font for single-letter symbols. A function is also known as a map or a mapping, however some writers distinguish between "map" and "function."

The function can be written as

3x+4y-7 = 0

or, y = (-3/4)x + 7/4

so, slope = -3/4

and other function is

kx+12y+3 = 0

or, y = (-k/12)x - 1/4

so, slope = -x/12

Given the lines are parallel, so slopes are equal

i.e., -3/4 = -k/12

or, k = (3/4)12 = 9

Hence, the value of k is 9.

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SOLUTION:

Step 1:

In this question, we are given that;

If a red and a blue fair six-sided die are rolled.

What is the probability the result is 8 or divisible by 3?

Step 2:

The table for the two dice rolled together is as shown below:

Green 1 2 3 4 5 6

Red

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

Step 3:

The probability that the result is 8 =

Next,

The probability that the result is divisible by 3

=

Finally, the probability that the result is 8 or divisible by 3, we have that:



Let's begin by identifying key information given to us:

We have triangle CDE

J is the centroid

Let me explain this question with the following picture:

We can recognize a linear structure when all the points have a pattern that seems like a straight line as you can see above for example.

In the graph of your question, we can see that the points don't have a definited pattern and that's clearly not seemed like a straight line.

Therefore, the answer is option B:

There is not a pattern, so the data is not linear.

42.105%

1) Let's first add thosse numbers up: 100 +120+160 =380

2) Now we can write out the following ratio, to find out what percentage is equivalent to 160 out of that 380:

Note that we had to cross multiply that.

3) Hence, the answer is 160 is approximately 42.105% of 380

We will have the following:

The surface area of the onion can be best modeled by a sphere. Base on the model, the approximate area of the onion is 38.5 square inches:

We will have the following:

The rate at which the water rises is 13/4 cm per minute.

So, solvinng the equation:

For y gives a value for y equal to:

we have

y=x^2-9x+18 -----> equation A

y=x-3 ------> equation B

Solve the system of equations

substitute equation B in equation A

x^2-9x+18=x-3

x^2-9x+18-x+3=0

x^2-10x+21=0

Solve the quadratic equation using the formula

we have

a=1

b=-10

c=21

substitute the given values

Find the value of y for x=7

y=x-3

y=7-3=4

the first solution is (7,4)

Find the value of y for x=3

y=3-3=0

the second solution is (3,0)

therefore

This diagram represents the problem

We know that distance = speed*time; D=S*t

Total distance: 156 miles

time: 6 h

Speed1: 33 miles/h

Speed2: 5 miles/h

for interval 1:

for interval 2:

for the whole trip: -Eq 1. Distance

and also: -Eq 2. Time

Now we have a system of 2 equations with 2 unknowns.

Let's solve it!

We can see that he spent 4.5 hours riding the bike and 1.5 h walking