which pair of lines are perpendicular

Answer:

(x + 9)(x - 1)

Step-by-step explanation:

First, set the equation equal to zero by subtracting 4 from both sides:

x² + 8x - 5 = 4

x² + 8x - 9 = 0

Then, find two factors of -9 that add to 8.

These factors are the numbers 9 and -1.

Then, using these factors, put the equation in factored form:

x² + 8x - 9 = 0

(x + 9)(x - 1) is the factored equation

Answer:

The test statistics is   [tex]z = -1[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  [tex]H_o : \mu = \$30000[/tex]

   The alternative hypothesis is  [tex]H_a : \mu < \$ 30000[/tex]

   The sample mean is  [tex]\= x = \$29,750[/tex]

    The standard deviation is  [tex]\sigma = \$2,500[/tex]

    The level of significance is  [tex]\alpha =0.05[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]

=>      [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]

=>      [tex]z = -1[/tex]    

From the desired test, we have that:

a)

b) The t-statistic is t = -1.

Item a:

At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:

[tex]H_0: \mu \geq 30000[/tex]

At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:

[tex]H_1: \mu < 30000[/tex]

Item b:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]

Hence, the t-statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]

[tex]t = -1[/tex]

The t-statistic is t = -1.

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Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

Answer:

The number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Step-by-step explanation:

Let the number of:

300- yen cakes = x

350 - yen cakes = y

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Hence, our system of equations derived from the question is:

x + y= 10 ..... Equation 1

x = 10 - y

300x + 350y = 3300 yen... Equation 2

Substitute 10 - y for x in Equation 2

Hence:

300(10 - y) + 350y = 3300

3000 - 300y + 350y = 3300

- 300y + 350y = 3300 - 3000

50y = 300

y = 300/50

y = 6

x = 10 - y

Substitute 6 for y

x = 10 - 6

x = 4

Therefore, the number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

From the figure the equidistant point from the surface of the circle is  B.

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Answer:

William can find how many piano pieces he has learned by using the equation y = 2x.

Step-by-step explanation:

We are given that William learns two piano pieces per week.

We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).

Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.

After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.

Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.

In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.

Therefore, our equation is [tex]\bold{y = 2x}[/tex].

Answer:

(3, 7)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as:

M(X, Y) = [x1+x2/2, y1+y2/2]

Given the coordinates  J(15,-13) and K(-9,27), the coordinates of the midpoints is expressed as:

X = 15-9/2

X = 6/2

X = 3

Similarly,

Y = y1+y2/2

Y = -13 +27/2

Y = 14/2

Y = 7

Hence the coordinate of the midpoint is at (3, 7)

Answer:

She can give it in 1- ways

Answer:

The are 8 dimes and 12 nickels

Step-by-step explanation:

1.We set n+d=20 because 20 is the total number of dimes and nickels in the jar.We have $0.05 n because for ever nickel,we earn $0.05.Adding this to the value of dimes,represented similarly by $0.1,then we set this to the amount of money we have in total,which is $1.40.

2.Subtract d from both sides of the first equation to get it by itself.Substitute-d for n in the second equation.The divide both sides by 0.5 to obtain the answer.

3.Substitute 8 in for d to obtain the value or n.

Answer:

The value is decreasing by $7500 each year

At the end of 8 years, the equipments value is -$10000

Step-by-step explanation:

15% of 50000 is 50000*15/100=7500

To find the end of 8 years, you subtract the sum of 7500*8 from 50000

7500*8=60000

50000-60000=-10000

Answer:

A

Step-by-step explanation:

P represents the page of number and she likes to read FEWER than 400 or equal to it. P < 400 says that she likes to read pages that are fewer or equal to 400 pages.

The inequality that represents the number of pages p is p ≤ 400.

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pages = 400 or fewer

This means,

Number of pages ≤ 400

Thus,

p ≤ 400

where p is the number of pages.

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Answer:

Slope with Y intercepts and going down/ up from there

Step-by-step explanation:

I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for  1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.

The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.

The vertical distance would be the y value to the line.

-19 to 0 would be 19 and from 0 to 3 is 3

Total distance is 19 + 3 = 22

The answer is 22

Answer:

x - y = 9

x = 9 + y (equation 1)

Their sum is 46

x + y =46

(9 + y) + y = 46

9 + 2y = 46

2y = 46 - 9

2y = 37

y = 37/2

y = 18.5 ( one number)

second number =

place the value of y in equation 1

x = 9 + 18.5

x = 27.5

The two numbers are 18.5 and 27.5

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

hope that this answer helps you.

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Answer:

22

Step-by-step explanation:

Charlie baked total of 55 cookies if he ate 11 cookies which is the 20% of the total cookies.

The ratio or number in terms of the fraction per 100 is called the percentage. This concept is mainly used to calculate the proportion of any value with respect to the original value.

Symbol representing the percentage is %.

Let x be the number of cookies Charlie baked.

Percentage of cookies Charlie ate = 20%

Number of cookies Charlie ate = 11

That is, Charlie ate 20% of the total cookies, x, which actually equals 11.

⇒ 20% × x = 11

⇒ (20/100) × x = 11

⇒ 0.2 × x = 11

⇒ x = 11/0.2

⇒ x = 55

Hence the number of cookies Charlie baked is 55, if he ate 20% of the cookies which equals 11.

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Answer:

6

Step-by-step explanation:

3x+1 = 7

3x+1-1 = 7-1

3x = 6

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

27 = x

We are done! I hope this helps! :)

Answer:

450 km

150/3=50km/hr

50+20%

1/5*50=10

50+10=60

60km/hr

450-150=300

300/60=5

5 hours

Answer:

15 apples

20 bananas

A total of 15 apples and 20 bananas has been bought.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of apples = A

Number of bananas = B

Given that,

Apples and bananas at the store in a ratio of 3 apples to 4 bananas.

So,

A/B = 3/4

And,

A + B = 35

By substitution,

4(35 - B) = 3B ⇒ B = 20

And,

A = 35 - 20 = 15

Hence "A total of 15 apples and 20 bananas has been bought".

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Step-by-step explanation:

abx² - (a⁴ + b⁴)x + (a³b³) = 0

(ax - b³)(bx - a³) = 0

Therefore x = b³/a or x = a³/b.

Answer:

A

Step-by-step explanation:

Answer:

a) 18 cm

Step-by-step explanation:

c=2(pi)r

36(pi)=2(pi)r

18=r

Answer:

Here bro, but after this go to sleep

Step-by-step explanation:

Answer:

(6x)^2- (7)^2

36x^2-49

Answer:

60 of each

Step-by-step explanation:

water          juice

12                10

24               20

36               30

48               40

60               50

                  60

Answer:

0.02272

Step-by-step explanation:

Answer:

11/12 dividing 3 would be 11/36

Step-by-step explanation: