A line a passes through points (-3,5) and (0,0) and line b passed through points (3,5) and (0,0). Are lines a and b parallel, perpendicular, or neither? Explain your answer.

Answer:

Step-by-step explanation:

Answer:

16,849,464 ft³

Step-by-step explanation:

subtract the two volumes of the pyramids.

Answer:

$1053

Step-by-step explanation:

If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.

To do this multiplication, we can break 1.62 down  simply into $1.00 +$0.6+$0.02

650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.

When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053

If the wax was priced at $1.67 per square foot, it would cost $1,664.99 to wax the entire floor. The right answer is C.

The floor is made up of a trapezoid and a rectangle.

The area of a trapezoid can be calculated as:

A = (b₁ + b₂)/2 x h

Where b₁ and b₂ are the lengths of the bases and h is the height.

The trapezoid is 14 feet tall, and its bases are 33 feet long and (28 - 19) or 9 feet wide. Thus, its area is:

A = (33 + 9)/2 x  14

A = 294 square feet

The rectangle is 37 feet tall with a 19-foot base. Thus, its area is:

A = 19 x 37

A = 703 square feet

The area of the triangle and trapezoid together make up the overall area of the figure.

A = 294 + 703

A = 997 square feet

Finally, to find the cost of the wax, we multiply the area by the cost per square foot:

Cost = 997 * $1.67

Cost  = $1664.99

Learn more about the area of the trapezoid at: brainly.com/question/26487711

#SPJ1

Answer:

\(\frac{27}{5} \pi m^{2}\)

Step-by-step explanation:

60cm must be convert into metres

60/100 =0.6

\(\pi r^{2} h\)=volume of cylinder

\(\pi( 3^{2}) (0.6)\)

= \(\frac{27}{5} \pi m^{2}\)

Answer:

16.96 cubic meters

Step-by-step explanation:

FORMULA>>>  V= H x PI x R^2

Step 1 fill in the Equation

V= 60cm X 3.14 X 3M^2

Step 2 Solve you can look up how many centimeters are in a meter which is 100 CM in 1 M

.6M X 3.14 X 3M^2

Hence the answer is 16.96 cubic M

Balanced reaction:

\(\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}\)

The reaction type is double replacement.

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

-4.65<-4.4

-4.65<-4 2/5

Answer:

<

Step-by-step explanation:

You have to convert the mixed number by multiplying the whole number by the denominator, adding the numerator, and dividing the sum by the denominator.

4x5=20

20+2=22

22÷5=4.4

-4.65 < -4.40

Answer:

there is not a solution to this equation

Step-by-step explanation:

10x - 3x + 8 = -3 + 7x + 11

simplify

7x + 8 = 8 + 7x

there is not a solution to this equation

Answer:

x=2

Step-by-step explanation:

add the x's on one side and then subtract it by 7x. (10x- 7x)

then -3 + 11=8

8-8=0

transfer  2 to the other side x=2

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

To learn more about the roots of equations,

https://brainly.com/question/12029673

#SPJ1

An nth- degree polynomial function with real coefficient for N = 3 ; 3, 2i are zeros ; f(-1) =20 is given by f(x) = (-1)( x³ -3x²+4x -12).

As given in the question,

Number of zeros of the polynomial function N = 3

Real and complex zeros = 3, 2i , -2i

Function value f(-1) = 20

f(x) = k (x-3)(x-2i)(x+2i)

⇒f(x) = k(x-3)(x²-4i²)

⇒f(x) =k(x-3)(x²+4)

⇒f(-1) = k(-1-3)((-1)² +4)

⇒ 20 =k(-4)(5)

⇒k =-1

Now , f(x) = (-1)((x-3)(x²+4)

               = (-1)(x³ -3x²+4x -12)

Therefore, nth- degree polynomial function with real coefficient for N = 3 ; 3, 2i are zeros ; f(-1) =20 is given by f(x) = (-1)( x³ -3x²+4x -12).

Learn more about polynomial function here

brainly.com/question/11298461

#SPJ1

The value of the discriminant b²-4ac is 169

What is discriminant ?

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them. It is actually a polynomial function of the original polynomial's coefficients.

The section of the quadratic formula following the square root symbol, b2-4ac, is the discriminant. If there are two solutions, one solution, or none at all, the discriminant informs us.

In mathematics, a parameter of an object or system that is estimated to help with its classification or solution is called an discriminant. The discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac; the discriminant for the cubic equation x3 + ax2 + bx + c = 0 is a2b2 + 18abc 4b3 4a3c 27c2.

A discriminant of a quadratic equation is a function of the coefficients of the polynomials.

D = b² - 4ac

The given equation is 5x² + 7x = 6

a is the coefficient of x²

b is the coefficient of x

c is the constant term

Substituting the values

D = 7² - 4 × 5 × (-6)

D = 49 + 120

D = 169

Therefore, the value is 169.

To learn more about discriminant from the given link  

https://brainly.com/question/2507588

#SPJ4

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

44

Step-by-step explanation:

You plug in both numbers for the corresponding letters

Answer:

4.8%

Step-by-step explanation:

21% of 18

following the BODMAS rule, OF means multiplication

and also this sign% always means 100

so,it will be  21/100 * 18/1

this a laptop so i cant put it in a fraction way.....okay

this is how it shows...21/100 * 18/1

lets divide....

21/100 * 18/1

we will use 2 to divide

2 in 100=50

2 in 18=9

so it will be 21/50 * 9/1

nothing can divide so we will multiply

21*9/50*1

189/50=3.78≈4.8%

Answer:

1338.68 meters

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together.

50.9m + 50.9m + 618.44m + 618.44m = 1338.68m

Answer:

N=3

Step-by-step explanation:

When we divide we substract the powers when we multiply we add up the powers of the same number.

Answer:

n = 3

Step-by-step explanation:

For the given problem, the objective function is to maximize 5x₁ + 8x₂ subject to the constraints 3x₁ + x₂ ≤ 6, 2x₁ + 4x₂ ≥ 5, x₁ ≥ 1, and x₂ ≥ 0.

To solve this problem, we can use the graphical method. Firstly, we plot the feasible region by graphing the inequalities and finding the overlapping region. The feasible region is the area where all the constraints are satisfied. In this case, the feasible region is a polygon bounded by the lines 3x₁ + x₂ = 6, 2x₁ + 4x₂ = 5, x₁ = 1, and x₂ = 0. Next, we evaluate the objective function 5x₁ + 8x₂ at the vertices of the feasible region. The vertex that gives the maximum value of the objective function is the optimal solution. We find the maximum by calculating the objective function at each vertex and comparing the values. In the given problem, the maximum value is obtained at one of the vertices of the feasible region. Therefore, the optimal solution lies at that vertex. The main answer would be the coordinates of that vertex.

Learn more about functions here: brainly.com/question/31062578

#SPJ11

X - Y and X + Y are uncorrelated. To show that X - Y and X + Y are uncorrelated, we need to show that their covariance is zero.

The covariance between X - Y and X + Y is given by:

\(Cov(X - Y, X + Y) = E[(X - Y)(X + Y)] - E[X - Y]E[X + Y]\)

Expanding the first term:

Cov(X - Y, X + Y) = E[X^2 - Y^2] - E[X - Y]E[X + Y]

Using the fact that X and Y have the same variance, we have:

\(E[X^2 - Y^2] = E[(X - Y)(X + Y)] = E[X^2] - E[Y^2]\)

And since X and Y have the same variance\(, E[X^2] = E[Y^2]\), so we can simplify:

\(E[X^2 - Y^2] = 0\)
Next, we can expand the second term:

E[X - Y]E[X + Y] = (E[X] - E[Y])(E[X] + E[Y])

Since X and Y have the same variance, we have E[X] = E[Y], so:

E[X - Y]E[X + Y] = (E[X] - E[X])(E[X] + E[X]) = 0

Putting it all together:

Cov(X - Y, X + Y) = 0 - 0 = 0

Therefore, X - Y and X + Y are uncorrelated.

Learn more about uncorrelated here:

https://brainly.com/question/30507987

#SPJ11

5.33 F  is the average change in temperature per hour.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.

Since there is a Sum change in temperature in 3 hours

From the formula of average:

Average change = total change/ time taken

in our case

Total change = 69 - 53

Total change = 16 F

Total time taken = 11 - 8

Total time taken = 3

Thus Average = 16/3

Average = 5.3333

Therefore, the average change in temperature per hour is 5.33 F.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ5

Answer: x can equal 9 or -1

Step-by-step explanation:

Answer: C. $5166,667

Step-by-step explanation:

AI-generated answer

Let's begin with calculating the total amount saved over 15 years. The savings decrease by 3% every year from $25,000 in year 1. To calculate this, we can use the geometric series formula:

S = a(1 - r^n) / (1 - r)

Where S is the sum of the geometric series, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 25000, r = 0.97 (since the savings decrease by 3% every year), and n = 15.

S = 25000(1 - 0.97^15) / (1 - 0.97)

S = $267,929.90

Next, we need to calculate the total amount at the end of year 15 with a 120% interest rate per year. We can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where A is the total amount, P is the principal (in this case, $267,929.90), r is the interest rate (in decimal form), n is the number of times the interest is compounded per year (in this case, 1 since it's compounded annually), and t is the number of years (in this case, 15).

r = 120% = 1.2

A = 267929.90(1 + 1.2/1)^(1*15)

A = $5,166,667.00

Therefore, the closest option is C. $5,166,667.

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

Learn more about probability  here:

https://brainly.com/question/31828911

#SPJ4

Answer:

The Answer is 175.86 cm^2

Step-by-step explanation:

4.3*5.2/2*2=22.36 cm^2

6.75*10=67.5 cm^2

10*4.3*2=86 cm^2

86+22.36+67.5=175.86 cm^2

Hoped this helped ^^

= 234.02

10 x 6.75 = 67.5 x 3 202.5

4.3 x 5.2 = 21.84  square root = 4.67

6.7/2 = 2 = 3.375

3.375 x 4.67 = 15.76

15.76 x 2 = 31.52

202.5 + 31.52 = 234.02

The maximum height of the rocket is 50 meters.

The path of a particular fireworks rocket is modeled by the given equation:

\($$h(t) = -5t^2 + 30t + 5$$\)

where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-

b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as

\($$f(x)=ax^2+bx+c$$\)

where a, b, and c are constants; a ≠ 0.

The vertex of the quadratic function is given as

\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)

Therefore, the formula for the t-coordinate of the vertex of the parabola is:

\($$t = -\frac{b}{2a}$$\)

Here, a = -5 and b = 30. Substituting these values in the above formula, we get:

\($$t = -\frac{30}{2(-5)} = 3$$\)

The corresponding height can be found by substituting t = 3 in the equation for h(t):

\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)

To learn more about height, visit:

https://brainly.com/question/15047456

#SPJ11