LCM of 18 and 22 = ?

Answer:

see below

Step-by-step explanation:

The formula for slope is

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

The person who tried to solve the problem did

Subtracted the x's over the y's instead of the y's over the x's

It should be (0-3)/(-4 -2)

                     -3/-6

The question is incomplete:

Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.

Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?

Answer:

-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.

-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.

Step-by-step explanation:

First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:

FV=PV(1+rt)

FV= future value

PV= present value

r= rate

t=time

-10 years:

FV= 10,000(1+(0.025*10))

FV= 10,000(1+0.25)

FV=10,000(1.25)

FV=12,500

-20 years:

FV= 10,000(1+(0.025*20))

FV= 10,000(1+0.5)

FV=10,000(1.5)

FV=15,000

Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:

FV=PV(1+(r/m))^mt

FV= future value

PV= present value

r= rate

t=time

m=number compounding periods per year

-10 years:

FV=10,000*(1+(0.021/12))^12*10

FV=10,000*(1+0.00175)^120

FV=10,000*(1.00175)^120

FV=12,334.5

-20 years:

FV=10,000*(1+(0.021/12))^12*20

FV=10,000*(1+0.00175)^240

FV=10,000*(1.00175)^240

FV=15,214

According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.

The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.

Answer:

Step-by-step explanation:

[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]

To make k subject of the fomula :

Step 1 : cross multiply

Step 2 : Divide both side of the equation to isolate k

The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,

The value of k will be written as,

t = (mu²)/k - 5mg

k = (mu² - 5mgk)/t

Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

z+x*y

Start by plugging the corresponding values in.

2 4/5 + 3/5*1/3

Multiply first. (Order of operations)

Note: When multiplying fractions, simply multiply the denominators together, and then the numerators together.

2 4/5 + 3/15

Simplify.

(I divided 3/15 by 3/3, which just equals 1.)

2 4/5 + 1/5

Add.

2 5/5

Simplify

3

Answer:

69/195

Step-by-step explanation:

So u add 24 and 16 to find the total number of people who are there

The total is 40

If they want at least 2 girls

So one of the probability for one girl is 24/40 which is 3/5

The other probability of another girl is 23/39

So u multiply 23/39 by 3/5 which is 69/195

Correct me if this is wrong

Sorry

Answer:

30.77%.

Step-by-step explanation:

There are a total of 40 members.

24 girls 16 boys.

Prob( 0 girls being chosen - so all boys ) =  16/40 * 15/39*14/38*  13/37*12/36 = 0.0063956

Prob( first one to be chosen is a girl  then all boys) = (24/40*16/39*15/38*14/37*13/36) = 0.013276

There are 5 ways of 1 girl being chosen so

Prob(1 girl out of 5 chosen) = 0.013276 * 5 = 0.06638

Prob( First 2  chosen are girls then all boys) = 24/40 * 23/39 * 16/38*15/37*14/36

= 0.023489

Number of ways of 2 girls being chosen is 5C2 and so the probability of 2 girls

= 0.023489 * 5C2

= 0.023489 * 10

= 0.23489.

Required probability = 0.23489 + 0.06638 + 0.0063956.

= 0.3076656

= 30.77% to the nearest hundredth.

Step-by-step explanation:

θ = [tex]cos^{-1}[/tex] 17 m/27 m = 50.9°

Answer:

Step-by-step explanation:

Given the nth term of a geometric sequence represented as [tex]Tn = a_1r^{n-1}[/tex]

[tex]a_1[/tex] =  first term of the sequence

n = number of terms

r = common ratio

Given [tex]a_1 = 4,096,\ r = -\frac{1}{4} , n = 5[/tex](fifth term of the sequence)

[tex]T_5 = 4,096(-\frac{1}{4} )^{5-1}\\ T_5 = 4,096(-\frac{1}{4} )^{4}\\T_5 = 4,096(\frac{1}{256} )\\T_5 = 16[/tex]

The fifth term of the geometric sequence is 16

Answer:

this is the answer for edge 2020-2021

Step-by-step explanation:

sum- -204.8

Answer:

[tex]342[/tex]

Step-by-step explanation:

The probability of heads landing is 0.43.

The probability of tails landing is 1-0.43=0.57.

Azmol throws the coin 600 times, so:

[tex]600 \times 0.57[/tex]

[tex]=342[/tex]

Answer:

Amplitude = -3

Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]

Vertical Shift = 6.

Step-by-step explanation:

Consider the function:

[tex]y=A\ sin (B(x+C))+D[/tex]

Here,

A = amplitude; It is the measure of how high is the peak from the center line.

2π/B = period; A period is the distance between one peak to the next.

C = phase shift; it represents how far the function is shifted horizontally from the initial point.

D = vertical shift; it represents how far the function is shifted vertically from the initial point.

The frequency of a function is the number of times something happens per unit time.

[tex]\text{Frequency}=\frac{1}{Period}[/tex]

The function provided is:

[tex]y=-3\ cos\ 4x+6[/tex]

On comparing the provided function with the general one it can be determined that:

Amplitude = -3

Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]

Vertical Shift = 6.

Answer:

AB=5.4 units

Step-by-step explanation:

We using the theorem of intersecting tangent and secant to solve this.

By this theorem:

[tex]XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units[/tex]

Answer:

Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)

Step-by-step explanation:

trust me :).

Answer:

Step-by-step explanation:

4x - 6 - 5x - 1

-x - 7

the answer is d

Answer:

D . -x - 7

Step-by-step explanation:

(4x-6) - (5x+1) = 4x-6-5x-1

4x-5x-1-6

4x-5x= -x

1-6 = -7

-x - 7

Answer:

4 and 5 are coefficients the rest are terms

Step-by-step explanation:

coefficients are the numbers not the letters

Answer:

Step-by-step explanation:

The terms are the elements of the sum:

  5b, 8c, 4p

The coefficients are the constant multipliers:

  5, 8, 4

___

In your list of items to "drag and drop", you have ...

Coefficient: 4, 5

Term: 4p, 5b, 8c

Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

Answer:

16

Step-by-step explanation:

48/3=16

Answer:

Mix A is the most orangey, Mix C is the least orangey

Step-by-step explanation:

Mix A largest proportion of concentrate to water

Mix C is the smallest proportion of concentrate to water

Answer:

1,784=1,780

Step-by-step explanation:

because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0

The answer is 1,780

Mgghvcjgghcgjchkkcf gdhjvdh gang zgb ca gdgjxfh. KkHogg b

Answer:

MAD = 2

Step-by-step explanation:

First We'll find the mean of data

Mean = [tex]\frac{20}{5}[/tex]

Mean = 4

Then, we'll find absolute deviation

=> |4-3| = 1

=> |4-2| = 2

=> |4-1| = 3

=> |4-1| = 3

=> |4-3| = 1

Now, taking the mean of these absolute deviations:

MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]

MAD = [tex]\frac{10}{5}[/tex]

MAD = 2

Answer:

1. equation

2. variable

3. operation

4. constants

i took this on edge so i know the answers ^-^

Answer:

Step-by-step explanation:

I don’t know the answer

The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

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Sorry, Please rewrite it again.

Answer:

The situation per week is 30 + 6n

where n is the number of weeks

Range of the function is 18 for the first four weeks of data

Step-by-step explanation:

Here, we are to use an arithmetic sequence for a representation.

The first term here is a which is 30 clients while the common difference of d is 6 new clients per week

So we can write the nth term of the sequence as;

Tn = a + (n-1)d

Tn = 30 + (n-1)6

Tn = 30+ 6n -6

Tn = 24 + 6n

where n is the number of weeks

Now for the second week we shall have a total of a+ d clients = 30 + 6 = 36

For the third we have 24 + 6(3) = 24 + 18 = 42

For the fourth, we have 24 + 6(4) = 24 + 24 = 48

Thus the range mathematically means the difference between the highest and lowest for that four weeks = 48-30 = 18

Answer:

A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week.

Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

f(x) = 4x + 18; 0 ≤ y ≤ 4

Answer:

A

Step-by-step explanation:

possible outcomes for choosing one marker is 1/19

so there for the answer is A

-4.5

i guess this is the answer

Answer:

Step-by-step explanation:

If base of variable is same, add the powers

1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹

2) -2n² * -n⁴ * 5n³ = (-2* -1*  5 ) *n²⁺⁴⁺³ = 10n⁹

3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰

Answer:

1. [tex]x^{11}[/tex]     2. 10[tex]n^{9}[/tex]   3.  6[tex]x^{10}[/tex]

Step-by-step explanation:

1.   [tex]x^{11}[/tex]

Imagine the expression is written like this:

(x)(x) *  (x)  * (x)(x)(x) * (x)(x)(x)(x)(x)

Simply add up the number of x's and have that number be the exponent.

There are 11 x's, so it will be [tex]x^{11}[/tex]

2. 10[tex]n^{9}[/tex]

Do the same as above, but this time remember that two negatives equal a positive.

10[tex]n^{9}[/tex]

3. 6[tex]x^{10}[/tex]

Again, two negatives equal a positive.

-3 x 2 x -1 = 6

Do the same as the above two.

6[tex]x^{10}[/tex]

Answer:

Step-by-step explanation:

97.50/4 equals 24.375 but if you are rounding it is 24. :)

The unit price for one book is 24.375 .

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

According to the given question.

Cost of four books = 97.50

Therefore,

the price of one book = [tex]\frac{97.50}{4} =24.375[/tex]

Hence, the unit price for one book is 24.375 .

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Answer:

Step-by-step explanation:

Graph shown in the attachment,

- Since every value of x corresponds to a distinct value of y, so the graph represents a function.

- Every input value of x of the table has a output value of y, therefore, it's a function.

- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,

 y = 8 and y = 2

Therefore, it's not a function and (5, 8) should be changed to make the relation a function.

Answer:

16/20

Step-by-step explanation:

4:5

Multiply each side by 4

4*4: 5*4

16:20

16/20

Answer:

The answer is C. 16/20.

Step by step explanation:

This is because if you were to multiply 4 and 5 by 4, you would get 16/20. That means that both ratios are the same. Hope this helps! :)

Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]

[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]

[tex]D(x,y) = (4,0)[/tex]

The length of the median AD is calculated by the Pythagorean Theorem:

[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]

[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]

[tex]AD = 6[/tex]

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]

[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]

[tex]AB \approx 4.123[/tex]

[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]

[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]

[tex]AC \approx 4.123[/tex]

[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]

[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]

[tex]BC \approx 4.472[/tex]

[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)

[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]

[tex]BD = CD = 2.236[/tex]

[tex]AD = 6[/tex]

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]

[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]

Finally,

[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ABD} = 6.180[/tex]

[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ABD} \approx 3.004[/tex]

[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ACD} = 6.180[/tex]

[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ACD} \approx 3.004[/tex]

Therefore, areas of triangles ABD and ACD are the same.