Do question 9 for 18 points.

Answer:

4

Step-by-step explanation:

use the Pythagoras' theorem

formula for an ABC triangle( right angled)

AB is height

BC is hypotenuse

CA is length

[tex]BC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]CA^{2}[/tex]

in your case

AB is 7

BC is 8

CA is unknown so we write x

[tex]8^{2}[/tex]=[tex]7^{2}[/tex]+[tex]x^{2}[/tex]

64=49+[tex]x^{2}[/tex]

64-49=[tex]x^{2}[/tex]

15=[tex]x^{2}[/tex]

[tex]\sqrt{15}[/tex] =x

3.87=x

4=x

Answer:

b.2.3

Step-by-step explanation:

f(x)= 2x^3 - 4x^2 - 3

see graph below

only x intercept is 2.287

Answer:

b2.3

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-7x+12=75

-12       -12

-7x= 63

divide by -7 on both sides

x = -9

Answer:10pi cm^2

Step-by-step explanation:

Answer:

The liability is his mortgage.

Answer:

The mortgage

Step-by-step explanation:

The mortgage is a liability. A liability is something that you have to pay for. Bills, fees, mortgages, etc are all liabilities.

The yearly salary- asset

The commission- asset

The mortgage- liability

The rental property- asset

Answer:

8

Step-by-step explanation:

The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 = 1

Answer:

we are going to use BODMAS

7.(2+18) -14

is also 7×(2+18) -14

since B representing bracket comes first,

we add the numbers in the bracket.

2+18=20

7×(20) -14

then M representing multiplication comes next do we multiply.

7×20=140

140-14=126

that's it!

Answer:

x= -1

Step-by-step explanation:

make the equation to equal to zero and then bring 2 to left side of the equal sign. To get rid of (x), you simply divide both sides by 2 and you will get x= -1.

Answer & Step-by-step explanation:

First, we know what the formula is for y-intercept slope form.

[tex]y=mx+b[/tex]

Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.

[tex]7=4(-3)+b[/tex]

[tex]7=-12+b[/tex]

[tex]19=b[/tex]

So, the equation of the line that passes through (-3, 7) with a slope of 4 is..

y = 4x + 19

Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

Answer:

21

Step-by-step explanation:

Answer:

[tex]=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]

Step-by-step explanation:

[tex]\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]

Answer:

$ 863.50

Step-by-step explanation:

375 days a year, 7 days a week

375/7

53.57 weeks in a year

24 paychecks of 863.50 = 46257.695$ a year

46257.695/53.57 = 863.5

Answer:

5160

Step-by-step explanation:

Answer:

RC1.  5

RC2. 8

RC3. a

RC4. 3

Step-by-step explanation:

So basically what you need to start with is the fact that the second triangle is 2 times larger than the first.

so,

8 = 8

C = 10

A = 6

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the next important part is that the opposite sides of the fraction, when multiplied are equal to each other.

( for example 1/2 = 2/4, because 1*4 = 4 and 2*2 = 4)

RC1. a/3 = C/_

substitute

6/3 = 10/_

3 * 10 = 30

6 * _ =30

30/6 = 5.

Rc2. 4c = 5_

4*10 = 5*_

40/5 = 8

RC3. 3c = 5*_

3*10 = 5*_

30/5 = 6

RC4. 4a = 8*_

4 * 6 = 8*_

24/8 = 3

good luck with your schoolwork/homework!

---------------------------------------------------------------------

apologies in advance for incorrect answers or bad explanations.

Answer:

b) 2x^2 + 7x + 3

= 2x^2 + 6x + 1x + 3

= 2x(x + 3) + 1(x + 3)

= (2x + 1) (x + 3)

Answer:

Step-by-step explanation:

a)

If we implement the combinations recursively without memoization, then the running time would be exponential in n.

Time Complexity:

If we implement this equation literally, as a recursive program, then the running

time of our algorithm without using memoization, T(n), as a function of n, has the following behavior:

T(0) = 1

T(1) = 1

T(n) = T(n − 1) + T(n − 2).

But this implies that

T(n) ≥ 2T(n − 2) = 2^(n/2).

b)

But if we store the combinations in an array, C[][], then we can instead calculate the combinations, C(n,k), iteratively, as follows:

C[0,0] = 0

C[1,1] = 1

for i = 2 to n do

C[n,k] = C[n-1, i−1] + C[n-1,k]

This algorithm clearly runs in O(n) time, and it illustrates the way memoization

can lead to improved performance when subproblems overlap and we use table

lookups to avoid repeating recursive calls.

Step-by-step explanation:

simply 32×24 gives 768 students

The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers. .768 students are expected to enroll.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers.

The ratio we have 24 : 1

We need to find the ratio

? : 32

then we get,

24 x 32 = 768

Learn more about the unitary method;

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Answer:

37 years

Step-by-step explanation:

If the mean age of 5 people in that room was 25 years,

∴ Sum₍₅₎= (25×5)years

              = 125 years

When a person enters that room, the mean age was now 27.

∴ Sum₍₆₎=(27×6) years

              = 162 years

∴ The age of the person who entered the room = Sum₍₆₎ - Sum₍₅₎

                                                                                 = (162-125) years

                                                                                 = 37 years

∴ The age of the person who entered the room is 37 years.

Hope this helps!!!

Please mark as brainliest!!!

Answer:

im just answering so you can give the other person brainilest. you can report if ya want.

Step-by-step explanation:

:)

Answer:

-16

Step-by-step explanation:

-12-128/2/4^2=

-12-64/4^2=

-12-64/16=

-12-4=

-16

Answer:

-16.

Step-by-step explanation:

Using order of operations (PEMDAS):

-12 - 128 ÷ 2 ÷ 4^2    First do the exponential term

-12 − 128 ÷ 2 ÷ 16   Do the leftmost  division first:

= -12 - 64  ÷ 16       Now the division

= -12 - 4

= -16.

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we can use the Heron’s formula

Mathematically we have the Heron’s formula as;

A = √s(s-a)(s-b)(s-c)

where s = (a + b + c)/2

Thus, s = (15 + 12+ 10)/2 = 18.5

a = 15, b = 12 and c = 10

Plugging these values into the equation, we have

√18.5(18.5-15)(18.5-12)(18.5-10)

= √18.5(3.5)(6.5)(8.5)

= √ 3,577.4375

A = 59.8116

which is approximately 59.8 square units

Answer:

When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.

Step-by-step explanation:

The growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.

It is defined as the factor that represents the increase and decreases in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.

For the growth factor:

F(g) = 1+r

Here r = 24% = 0.24

F(g) = 1+0.24 = 1.24

For the decay factor:

F(d) = 1-r

Here r = 24% = 0.24

F(d) = 1-0.24 = 0.76

Thus, the growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.

Learn more about the growth and decay factor here:

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Answer: A = {2, 6 ,6 , 6 , 7 ,9}

Step-by-step explanation:

As the mode is 3, we must have a number that repeats 3 times.

As the median is 6, the number in the middle must be 6

then with this we can construct a set with 3 times the number 6.

Now, knowing that the range is 7. the difference between the larger number and the smaller number is 7, so suppose the larger number is 9 and the smaller number is 2 (9 - 2 = 7)

Then the numbers in our set are:

2 6 6 6 9

lets find the last one.

We know that the mean is 6, then we have

6 = (1/6)*( 2 + 6 + 6 + 6 + 9 + x) = (1/6)(29 + x)

6*6 = 29 + x

36 - 29 = x

x = 7

Then our set is:

A = {2, 6 ,6 , 6 , 7 ,9}

Where the number in the middle is 6, the mean is 6, the mode is 3 and the range is 7

Answer:

(6 × 3 × 4) 72

Step-by-step explanation:

Answer:

(6x3x4)= 72 unit cubes.

Step-by-step explanation:

Answer:

3/8 = 9/24 ; 1/3 = 8/24 ; 3/8 > 1/3

Step-by-step explanation:

You have to multiply 8 and 3 to obtein the same number as denominatoe (24).

Once you have the same number you can use < = >

Step-by-step explanation:

The offer is 25% sale on cupcakes

Single cake costs = 9

25% = 0.25

After discount the price of cake = 9 x 0.25 = 2.25

Answer:

91

Step-by-step explanation:

it takes to long to explain

Answer:

Aloy has $55 initially

Benjamin has $95 initially

Step-by-step explanation:

In this question, given the order in which the money flowed in the question, we want to know how much each of the two had initially.

let what Aloys have be x and what Benjamin has be y.

Together, they had 150

x + y = 150 ••••••••(i)

Aloys mother gave him 40, new money is x + 40, Benjamin spent 10, new money is y-10

the new difference is 10

Thus;

(x + 40)-(y-10) = 10

x + 40 -y + 10 = 10

x+ 40 = y

substitute this into the first equation

x + 40 + x = 150

2x + 40 = 150

2x = 150-40

2x = 110

x = 110/2

x = $55

y = x + 40 = 55 + 40 = $95