Determine if the equations are parallel, perpendicular, or neither.

y = -3x + 4 and y = 1/3x − 6

Answer:

brainly?

Step-by-step explanation:

hope this helps

All the three locations has been checked below.

Using Pythagoras theorem,

12² = 8² + x²

144 - 64 = x²

x= √80

x=8.9

Now, using Trigonometry

tan F = P/B

tan F= 8/8.9

and, sin F = P/H

      sin F= 8/12 = 2/3

and, cos F = B/H

        cos F= 12/8.9

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Step-by-step explanation:

i hope i didnt make any mistake.. you can divede that last line to get numbers.. if you need

The function that models each variation is a) y = 100/x. When x = 10: y = 100/10 = 10. b) y = -80/x. When x = 10: y = -80/10 = -8.

When one variable rises, the other one falls, and vice versa, two variables are negatively correlated. This indicates that the two variables' product has a fixed value. In other words, we may express the relationship between two inversely varying variables, x and y, as follows:

xy = k

where k is a proportionality constant. To maintain the same value of the product when one variable rises, the other must fall. Inverse variation examples include the link between the amount of time required to go a certain distance at a constant pace or the amount of workers required to finish a task in a certain amount of time.

If y varies inversely with x, we can write the relationship as:

y = k/x

a) When x = 20 and y = 5:

5 = k/20

k = 100

Substituting k we have:

y = 100/x

When x = 10:

y = 100/10 = 10

b) When x = 20 and y = -4:

-4 = k/20

k = -80

Substituting k we have:

y = -80/x

When x = 10:

y = -80/10 = -8

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Answer

Yes, zero is contained in the interval

Answer:

Try A

Step-by-step explanation:

382.4cm

Answer:

Step-by-step explanation:

A: She sold 60% of her cakes

B: 40% was left

I’m pretty sure these are the answers

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Answer:

Step-by-step explanation:

g(5) = 2 > 0

:::::

g(x) = 0 for x = -2, 2, 4

:::::

g(x) < 0 for  -3 ≤ x < -2

Answer:

Therefore, a sample that is required to estimate the mean usage of water must be at least 249.

Step-by-step explanation:

We are given that they would like the estimate to have a maximum error of 0.13 gallons.

A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day.  

As we know that; Margin of error formula is given by;

   Margin of error  =  \(Z_(_\frac{\alpha}{2}_) \times \text{Standard of error}\)

where, \(\alpha\) = level of significance = 1 - 0.80 = 20% and  \((\frac{\alpha}{2} )\) = 10%

Standard of error =  \(\frac{\sigma}{\sqrt{n} }\)

where, \(\sigma\) = standard deviation = \(\sqrt{2.56}\) = 1.6

            n = sample size

Also, the critical value of z at 10% significance level is given in the z table as 1.282.

SO,  Margin of error  =  \(Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }\)

                 0.13           =  \(1.282 \times \frac{1.6}{\sqrt{n} }\)

                  \(\sqrt{n}\)  =  \(\frac{1.282 \times 1.6}{0.13}\)

                    n  =  \(15.8^{2}\)

                    n  =  248.95  ≈ 249.

Therefore, a sample that is required to estimate the mean usage of water must be at least 249.

Answer: the awnser is 7

Step-by-step explanation: when numbers are in | ? | and they are negative they just turn positive

Answer:

54√2

Step-by-step explanation:

I hope this helps you like and follow

Answer:

The answer is 54√2

Step-by-step explanation:

3√3 × 6√6

(3 × 6) × (√3 × √6)

18 × (√18)

18 × 3 × (√2) [ ∵ √18 = √2 × √3 × √3 ]

54√2

Thus, The answer is 54√2

-TheUnknownScientist 72

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

100/70

Step-by-step explanation:

i did 25 times 4 got 100 then did 100/70

Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

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Step-by-step explanation:

\(0.6 \times 549 = 329.40\)

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Arithmetic sequences are collections of numbers, where each term is created by adding a fixed amount to the word before it.  the  \(20th\) term of the arithmetic sequence is \(a20 = a1 + 19d.\)

Mathematical uses for arithmetic sequences are numerous. They are used to simulating situations where values change by a fixed quantity over time or place, such as population growth, asset depreciation, or the movement of an object moving at a constant speed.

For example, the sequence  \(2, 5, 8, 11, 14\) is an arithmetic sequence with a common difference of 3.

In general, the nth term of an arithmetic sequence can be expressed as:

\(a_n = a_1 + (n-1)d\)

Where a_1 is the first term of the sequence and n is the position of the term in the sequence.

To find the 20th term of the arithmetic sequence represented by the formula  \(an = a1 + (n-1)d\) , we substitute n = 20 into the formula and simplify.

So, we have:

\(a20 = a1 + (20 - 1)d\)

\(= a1 + 19d\)

Therefore, the  \(20th\) term of the arithmetic sequence is \(a20 = a1 + 19d.\)

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For the given parabola, the parts on the curve should be labeled as follows;

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = y = x², we have the following:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(0)/2(1)

Axis of symmetry, Xmax = 0/1 = 0.

Vertex (h, k) = (0, 0).

In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.

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\(\text{Find which car would be cheaper over 5 years of ownership }\\\\\text{Diesel car:}\\\\\text{ The buying price is 29515}\\\\\text{Then it cost 1200 to run per year}\\\\\text{Calculate:}\\\\1200\cdot5=6,000\\\\\text{Add:}\\\\29515+6,000=35,515\\\\\text{Petrol car:}\\\\\text{Buying price is 26775}\\\\\text{Running cost for 5 years is 8000}\\\\\text{Add:}\\\\26775+8000=34,775\\\\\boxed{\text{The Petrol car is the better value for the price}}\)

The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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If x=12 and y= 12, the value of the slope is 0.5

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m.

It is also defined as the change in y divided by the change in x. To write it with the mathematical expression:

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

Given: x = 12 and y = 6. Thus:

Slope(m) = 6/12 = 1/2 = 0.5

Therefore, the slope is 0.5 given that x = 12 and y = 6

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 8 ÷ 2

x = 4

PLEASE

Answer:

Step-by-step explanation:

To solve:

|2x+1|=9

|2x+1|=-9

2x=8

x=4

2x=-10

x=-5

2x+1=9

2(4)+1=9

9=9, so its true.

2x+1=-9

2(-5)+1=-9

-9=-9, so it’s true too