I need help with my math

Answer:

Step-by-step explanation:

Equations:

Recall the identities:

Now find a and b, then find their product.

Answer:

  2a.  ((500x +200)x +600)x

  2b.  $1350.68

  3.  -1

Step-by-step explanation:

2. You want to know the balance in an account at the end of 3 years with deposits at the beginning of successive years being $500, $200, and $600, and with deposits having an annual growth factor of x. You want (a) an expression for the balance in terms of x, and (b) the balance when x=1+2%.

3. You want the value of p(-2) for p(x) = 5x³ +8x² -3x + 1.

$500 is deposited at the beginning of the first year. The problem statement tells us that this has been multiplied by growth factor x by the end of the year, so the balance at that point is 500x.

At the beginning of the second year, $200 is added to the account, and the entire amount is multiplied by the growth factor for the year. That makes the balance at the end of the second year be ...

  (500x +200)x

Then $600 is added, and again the account grows by a factor of x. At the end of the third year, the balance is ...

  balance = ((500x +200)x +600)x

The growth factor is given as x = 1 +r. When r = 2%, this becomes x = 1.02. Then the balance at the end of year 3 is ...

  ((500·1.02 +200)·1.02 +600)·1.02 = 1350.68

The amount in the account at the end of three years is $1350.68.

__

The value of p(x) = 5x³ +8x² -3x +1 for x=-2 is found by substituting -2 where x is found. Evaluation can be easier by rewriting the polynomial to Horner form:

  p(x) = ((5x +8)x -3)x +1

  p(-2) = ((5(-2) +8)(-2) -3)(-2) +1 = ((-2)(-2) -3)(-2) +1 = (1)(-2) +1 = -1

The value of the function for x=-2 is -1.

__

Additional comment

You will note that the expression in problem 2 is also written in Horner form. If it were expanded, it would be 500x³ +200x² +600x. Evaluation takes fewer steps when Horner form is used.

First you need to ubicate those vertices in a plane as follow:

Then you link the vertices with lines to form the triangle:

Knowing that a right triangle must have one angle of 90º

The answer is that yes, it is a right triangle because it has an angle of 90º in the vertice H(8,5)

Fred's overtime pay is $16.50 an hour. He put in extra time this week on Monday and Thursday. The equation is $123.75-4 times the x value =h and h value is 57.75 and the working hours are 3.5 hours.

Given that,

Fred's overtime pay is $16.50 an hour. He put in extra time this week on Monday and Thursday. He put in four hours of extra on Monday. He received $123.75 in overtime compensation in total for the week.

We have to determine how many overtime hours, h, Fred worked on Thursday, write an equation and solve it.

We can write the equation as

$123.75-4 times the x value =h

Here,

x value is $16.50

We get,

$123.75-4×$16.50=h

h=57.75

To check hours working

57.75/16/50

=3.5 hours.

Therefore, the equation is $123.75-4 times the x value =h and h value is 57.75 and the working hours are 3.5 hours.

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Answer:

y=4x+1

Step-by-step explanation:

Step 1: plot your points

Step 2: draw a line through them

Step 3: find the slope (RISE/RUN) = 12/3 = 4

Step 4: find the y-int = 1

y=mx+b where x and y are variables, m is the slope and b is the y-int

y = 4x + 1

Hope that helps

The time taken by the ball to reach the ground is 0.067 seconds

Given,

The initial velocity of the ball (speed) = 35 feet/second

The height of the ball (distance), h = -16t² + 35t + 6

We have to find the time, (t in seconds) taken by the ball to reach the ground.

Speed = distance/time

So, Time = distance/speed

Here,

Time = (-16t² + 35t + 6) / 35

We have to solve the equation first.

-16t² + 35t + 6 = 0 is in quadratic form. So, we can solve this by using quadratic formula.

Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Here,

a = -16, b = 35, c = 6

Now,

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

= [tex]\frac{-35(+-)\sqrt{35^{2}-4(-16)(6) } }{2(-16)}[/tex]

= [tex]\frac{-35(+-)\sqrt{1225 +384} }{-32}[/tex]

= (-35±√1609) / -32

= (-35±40.11) / -32

Now,

Solve for:

(-35 + 40.11) / -32 = 5.11/-32 = -0.15

Solve for

(-35 - 40.11) / -32 = -75.11 / -32 = 2.35

Lets take the height as 2.35 feet.

Now,

Time = distance/speed

Time = 2.35/35 = 0.067

Therefore, the time taken by the ball to reach the ground is 0.067 seconds.

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The following ordered pairs are the solutions to 5x+2y=-1 :

(1,-3) and (-3,7)

Given we have the ordered pairs and the equation.

To find out whether the ordered pair is a solution or not, we just need to replace the x and y values from the ordered pair (x,y) and check if both the sides equate.

a. (1,-3)

5x+2y=-1

5(1)+2(-3) = -1

consider L.H.S

5-6

= -1

Therefore, L.H.S = R.H.S

hence the ordered pair (1,-3) is a solution to 5x+2y=-1.

b. (2,8)

5x+2y=-1

5(2)+2(8) = -1

consider L.H.S

10+16

= 16

Therefore, L.H.S ≠ R.H.S

hence the ordered pair (2,8) is not a solution to 5x+2y=-1.

c. (-4,-6)

5x+2y=-1

5(-4)+2(-6) = -1

consider L.H.S

-20-12

= -32

Therefore, L.H.S ≠ R.H.S

hence the ordered pair (-4,-6) is not a solution to 5x+2y=-1.

d. (-3,7)

5x+2y=-1

5(-3)+2(7) = -1

consider L.H.S

-15+14

= -1

Therefore, L.H.S = R.H.S

hence the ordered pair (2,8) is a solution to 5x+2y=-1.

Therefore the ordered pairs which are solutions to 5x+2y=-1 are:

(1,-3) and (-3,7)

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Answer:

The volume would be [tex]396cm^3[/tex].

Step-by-step explanation:

Answer:

792 cm

Step-by-step explanation:

99*8

Answer: D (last bubble)

Step-by-step explanation:

slope of f is 2/3

inverse of 2/3 is 3/2

that is graph h

these graphs are symmetrical around the line y = x

Answer:

I'll assume z3 is actually z^3

z = 2

Step-by-step explanation:

z*z*z = 8

(2)*(2)*(2) = 8

The temperature “On Tuesday at lunchtime, it was 29ºC

i.e., 29 - 16.

Given,

Write a story about temperatures that this expression could represent:

27+(-11)

Now, According to the question:

1. The temperature is 27 degree C in the morning and reduced 11 degree C  in the evening , the difference in temperature is 27 + (-11)

2.   “On Tuesday at lunchtime, it was 29ºC. By sunset, the temperature had dropped to 16ºC.”

Again, Similarly

= 29 - 16

About Number line,

Draw a number line and allocate a point 16 degree C on the left side

and, 29 allocate a point on the right side.

Hence, The temperature “On Tuesday at lunchtime, it was 29ºC

i.e., 29 - 16.

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Answer: The equation of line parallel to given line passing through (8,-7) is:

Step-by-step explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

Dividing both sides by 4

Slope intercept form is:

The slope of given line is:

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

The equation of line parallel to given line will be:

Putting the value of slope

Putting the point (8,-7) in the equation

Putting the value of b

Hence,

The equation of line parallel to given line passing through (8,-7) is:

this type of sample is called fractions

Step-by-step explanation:

using the normal distribution, the warranty period of motor last at 6.24 years.

According to given question , the average life of motor = 10 years and standard deviations = 2 years .

let X be the time period in which the warranty period of motor last . X ~ N( μ, σ²) where u is mean and s is standard deviations. X ~ N( 10, 2²) ⁼ N(μ, σ²)

it is given that only 3% number of motors are replaced and 3% = 0.03

Using normal distribution , P( X≤ x)= P(( X - μ )/ σ ≤ (x- μ)/σ ) = P ( Z ≤ (x- μ ) / σ ) =0.03

Z = (X- μ) / σ => X = Z (σ) + μ

p (Z ≤ -1.88) = 0.03 so, Z-value is - 1.88..

put all the value of variables in above formula we get , -1.88 ( 2) + 10 = X => X = - 3.76 + 10

=> X = 6.24

Thus , the motor's warranty period lasted about 6.24 years.

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Answer: no he does not win he got 67 points not 90 or more

Step-by-step explanation:

Answer:

16.4 cm  

Step-by-step explanation:

In a right triangle :

cosine 43 = adjacent leg / hypotenuse = 12/x

SO:

cosine 43 = 12/x        then x   =   12 / cos 43  = 16.4 cm

The first law is called the Law of Detachment. The law states that if p → q and p is true, then q is true.

The second law is the Law of Syllogism. It states that If p → r and q → r, then p → r is true.

It is to be noted that the Law of Detachment is the most often employed deductive reasoning theory.

In other words, if a conditional statement and its hypothesis are true, the conclusion is likewise true. In other words, the conclusion may be "separated" from the conditional.

In the above instance, p is synonymous with having a cat; while q is synonymous with it chasing a rat.

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Answer:

Step-by-step explanation:

Hypothesis: you live in a state that borders California

:]

The equation of the line that passes through the point; (-4, 8) and is parallel to x + y = 6 as required in the task content is; x + y = 4.

It follows that the equation of the line that passes through the given point and is parallel to the given line is to be determined.

By expressing the given linear equation in slope-intercept form; it follows that we have;

x + y = 6

y = -x + 6

Hence, the slope of the equation by comparison with; y = mx + c is; -1.

Therefore, the slope of the required equation is same as the two lines are said to be parallel.

Ultimately, the required equation from point-slope form of an equation is;

( y - 8) = -1 ( x - (-4))

y - 8 = -x - 4

x + y = -4 +8

x + y = 4.

Ultimately, the required equation is; x + y = 4.

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Answer:

=[tex]\frac{78139}{5}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{15}-(-3)+25^{3} \\=\frac{78139}{5}[/tex]

Answer:

25

Step-by-step explanation:

25 is the square root of 625

Answer:

25

Step-by-step explanation:

[tex]\sqrt{625} = \sqrt{25^{2} } = 25[/tex]

We can calculate the perimeter of the rectangular yard to find out how much fence Joshua needs:

since the perimeter of the yard is 264 yards, then Joshua does not have enough fence for his yard, since he only has 245 t of fence, and he needs 264ft

Answer:

its x^3 or 1

Step-by-step explanation:

there's nothing else you can do with it

also it might be 1 because x by itself is 1 so x^3 is considered  1^3

ANSWER

x - 6

EXPLANATION

We want to write an algebraic expression that matches the statement:

Six less than a number.

First, let that unknown number be x.

So, 6 less than x.

Since it means that we are taking 6 from x, we subtract 6 from x.

That will be:

x - 6

Sanjay a is making punch. he uses 1/3 c of pineapple juice for every 3/4 c of orange juice Then 4/3 cups of pineapple juice does he need if he uses 3 c of orange

equation of direct proportion between x and y

x1/y1 = x2/y2

as per given ,

let x= quantity of pineapple juice and y= quantity of orange juice

x1= 1/3 , y1 = 3/4

x2 = ?  and y2 =3

x1/y1 = x2/y2

(1/3)/ (3/4) = x2/3

4/9= x2 /3

4/3 = x2

Hence ,Sanjay a is making punch. he uses 1/3 c of pineapple juice for every 3/4 c of orange juice Then 4/3 cups of pineapple juice does he need if he uses 3 c of orange

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Answer:

540

Step-by-step explanation:

Answer: Estan

Step-by-step explanation: I know spanish

Shelley's cup of tea is cooling down at the rate of 1.2 degree per minute.

According to the question,

We have the following information:

Shelley's cup cooled down 12 degrees in 10 minutes.

In order to find the rate of cooling down of the cup of tea, we will divide the degrees of the cooling by the total number of minutes.

So, we have the following expression:

Rate of cooling down of Shelley's cup = Total degrees the cup cooled down/total time taken

Rate of cooling down of Shelley's cup = 12/10

Rate of cooling down of Shelley's cup = 1.2 degree per minute

Hence, the rate of cooling down of Shelley's cup is 1.2 degree per minute.

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Answer:

1/20

Step-by-step explanation:

Find the rate in degrees per minute. Divide

1

2

of a degree by 10 minutes.

To divide by 10, multiply by its reciprocal,

1

10

.

1

2

÷10

=

1

2

1

10

=

1

20

Shelley's tea is cooling down at a rate of

1

20

of a degree per minute.