line p contains the points (-2 -5) and (3,25) write the equation of the line that is parallel to line p and passes through the point (1,—9)

Answer:

$50

Step-by-step explanation:

x is distance and y is cost because the cost is dependent on the distance which makes the distance the independent variable. you can always use y=mx+b for these problems!!

The maximum amount of mushrooms Alberto can eat in a day is 4 kg.

Alberto can eat at most 4 kg of mushrooms in a day. If he picks 4 kg of mushrooms himself, he will not gain any monetary profit, and if he picks oranges, the monetary gain will be less than picking mushrooms.

He can sell mushrooms in the market for 514.79 per kg, whereas he can sell oranges for 38.7 per kg. It is evident that he will gain a lot of monetary profit by selling mushrooms rather than oranges.

Alberto can buy mushrooms from the market and sell them for a higher price. But it does not mean that he can eat more mushrooms. Alberto can consume a maximum of 4 kg of mushrooms whether he picks them himself or buys them from the market.

Therefore, the maximum amount of mushrooms Alberto can eat in a day is 4 kg.
To know more about mushrooms visit:

https://brainly.com/question/28237611

#SPJ11

Answer: X=4

Step-by-step explanation:

5(-3+X)=5

-3+X=1

X=1+3

X=4

If you are allocated 1 TB data to use on your phone, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.

1 Terabyte (TB) = 1,000 Gigabytes (GB

So, 1 TB = 1,000 GB

So, the total data available is 1,000 GB/month

Then, to find how many years it will take until you run out of your quota of 1 GB/month consumption, divide the total data available by the monthly consumption:

1,000 GB/month ÷ 1 GB/month = 1,000 months

To convert months to years, divide by 12:1,000 months ÷ 12 months/year ≈ 83.33 years

Therefore, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.

Learn more about gigabyte rate at

https://brainly.com/question/29015386

#SPJ11

Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

We cannot determine the center or radius of the circle based on the given information.

To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.

Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:

√((7 - a)² + (6 - b)²) = r

where r is the radius of the circle.

We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.

We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.

However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.

Learn more about radius

brainly.com/question/13449316

#SPJ11

Let x represent the number.

four times the number = 4 * x = 4x

The reciprocal of the number = 1/x

If four times a number is added to the reciprocal of that number the result is 5, it means that

4x + 1/x = 5

Multiplying both sides of the equation by x, we have

4x * x + 1/x * x = 5 * x

4x^2 + 1 = 5x

Subtracting 5x fromboth sides of the equation, we have

4x^2 - 5x + 1 = 5x - 5x

4x^2 - 5x + 1 = 0

We would solve for x by applying the method of factorisation. We would find two terms whose sum or difference is - 5x and whose product is 4x^2. The terms are - 4x and - x. By replacing - 5x with - 4x - x, we have

4x^2 - 4x - x + 1 = 0

By factorising, we have

4x(x - 1) - 1(x - 1) = 0

Since x - 1 is common, we have

(x - 1)(4x - 1) = 0

x - 1 = 0 or 4x - 1 = 0

x = 1 or 4x = 1

x = 1 or x = 1/4

We would check these values.

For x = 1,

4 * 1 + 1/1 = 4 + 1 = 5

This is correct

For x = 1/4,

4 * 1/4 + 1/(1/4) = 1 + 4 = 5

It is also correct

Thus, the numbers are 1 and 1/4

Answer:

To find the zeros ( roots ) of f(x). Put f(x) = 0.

We have :

\(0 = 10 - \sqrt{8 - x \\ } \\ \sqrt{8 - x} = 10 \\ 8 - x = 100 \\ 8 - 100 = x \\ x = - 92\)

Answer:

yes

Step-by-step explanation:

6/5 = 24/20

Simplify the right side of the equation

Divide both 24 and 20 by 4

24 / 4 = 6

20/4 = 5

6/5 = 6/5

It is proportional

A) ->Height of water in the tank=7.2 meters

B) -> Percentage of tank filled with water= 36.01%

A) To find the height of the water in the tank, we need to calculate the ratio of the volume of water to the total volume of the tank.

The formula for the volume of a cylinder is given by V = πr²h, where V is the volume, r is the radius, and h is the height.

With regard to it regarding to it:

Radius (r) = 5 meters

Total tank volume = 565.2 cubic meters

We can rearrange the formula to solve for height (h):

h = V / (πr²)

Substitution of values:

h = 565.2 / (π * 5²)

Height calculation:

h ≈ 7.2 meters

Therefore, the height of the water in the reservoir is approximately 7.2 meters.

B) To calculate the percentage of filling the tank with water, we need to determine the ratio of the volume of water to the total volume of the tank.

Fill percentage = (water volume / total tank volume) * 100

By substituting the specified values:

Percentage filled = (565.2 / (π * 5² * 10)) * 100

Percentage calculation:

Occupancy percentage ≈ 36.01%

Therefore, approximately 36.01% of the tank is filled with water.

To know more about cylinder

brainly.com/question/15734630

If there is no difference between any of the two or more groups being compared, H0 indicates the anticipated outcome of a statistical test. This statement is true.

H0, or the null hypothesis, represents the assumption that there is no significant difference between the groups being compared in a statistical test. It is the default hypothesis that is tested against an alternative hypothesis, H1, which states that there is a significant difference between the groups.

The null hypothesis is essential in hypothesis testing as it serves as the basis for determining whether the results of the test are statistically significant or due to chance. The statistical test is designed to reject the null hypothesis if the calculated p-value is less than the pre-determined significance level, indicating that the observed results are unlikely to have occurred by chance alone.

The acceptance or rejection of the null hypothesis has important implications for decision-making in various fields, such as medicine, psychology, and business. Therefore, it is crucial to carefully construct and test the null hypothesis to ensure that the results are accurate and meaningful.

To learn more about statistical tests

https://brainly.com/question/28957899

#SPJ4

exterior angle is equal to sum of two opposite interior angle

141= 32 + x

141-32= x= 109° ANS.

Answer:

1) is 15.

2) is 4.

Step-by-step explanation:

hope this helps :)

Answer:

8,-7 is over in ll

-3,-7 is over in 4

thatsone big difference

lmk if this helped

Answer:

So in base 5, 4+6 = 20

Step-by-step explanation:

Answer:

Judah

Step-by-step explanation:

Because the more times you do the same thing over and over again then average it the more accurate it becomes

Answer:

126 square inches of wrapping paper

Step-by-step explanation:

To compute for the minimum amount of wrapping paper Dylan will need to completely cover the box, you have to compute the surface area of the box. The formula in getting the surface area of a rectangle is:

A = 2WL + 2LH + 2HW

Substituting the given measurements to the formula:

A = 2(5)(6) + 2(6)(3) + 2(3)(5)

A = 60 + 36 + 30

A = 126 square inches

Therefore, Dylan needs to purchase at least 126 square inches of wrapping paper to completely cover the box.

Answer:

Step-by-step explanation:

Answer:

C. x=18 is the answer

Step-by-step explanation:

X2 = 36

x = 36÷2

x = 18

Answer:

Step-by-step explanation:

E(x) = 791*0.97 - 23600*0.03 = 59.27. The answer is positive so they will make a profit of $59.27 for each policy sold.

However the correct answer is $83. By trial and error.

The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

To learn more about speed formula link is here

brainly.com/question/7359669

#SPJ4

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

Statistical tools are deemed to fail because people have a poor understanding of the scientific method

The given statement is false

1. Statistical tools are designed to analyze and interpret data systematically.
2. These tools can be effective when used correctly and within the context of the scientific method.
3. A poor understanding of the scientific method may lead to incorrect usage of statistical tools, but this does not mean the tools themselves are deemed to fail.
4. The effectiveness of statistical tools depends on the user's knowledge, application, and interpretation.
5. Proper education and training can improve the understanding of the scientific method and the appropriate use of statistical tools.


Statistical tools are not deemed to fail because of people's poor understanding of the scientific method. Instead, it is the incorrect usage and interpretation of these tools that may lead to unreliable results. Improving knowledge of the scientific method and proper application of statistical tools can enhance their effectiveness.

To know more about statistical tools visit:

brainly.com/question/2206201

#SPJ11

Answer:

Question 1 is A  (7/10) Question 2 is b (39/56)

Step-by-step explanation:

The solutions to the right triangle in this problem are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle A is given as follows:

m < A + 50 + 90 = 180

m < A = 180 - 140

m < A = 40º.

Side b is opposite to the angle of 50º, while 21 is the adjacent side to the angle of 50º, hence:

tan(50º) = b/21

b = 21 x tangent of 50 degrees

b = 25.

The hypotenuse c is then obtained as follows:

sin(50º) = b/c

c = 25/sine of 50 degrees

c = 32.6.

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

my best guess would be 5.5cm, if you get that wrong, try 6cm. hope you have a wonderful day! you are beautiful!

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

To know more about equation visit:-

https://brainly.com/question/29657992

#SPJ1

Answer:

3n²+3n-60

Step-by-step explanation:

Area of rectangle= L*W

A=3(n-1)(n+2)

A=3(n²+n-2)

A=3n²+3n-6

54=3n²+3n-6

3n²+3n-6-54=0

3n²+3n-60=0

Answer:

3, 3, - 60

Step-by-step explanation:

Area = lw

Therefore 54=(3n-3)(n+2)

Expand and we get:

3n^2+6n-3n - 6=54

Combine terms and move 54 to left side:

3n^2+3n-60

Hope this helped!

The binomial x + 3 is a factor of the polynomial x³ + 4x² + x - 6 using the Remainder Theorem.

To determine whether the binomial x + 3 is a factor of the polynomial x³ + 4x² + x - 6, we can use the Remainder Theorem. According to the theorem, if we substitute -3 (the negation of the constant term in the binomial) into the polynomial and the result is zero, then the binomial is a factor.

Substituting -3 into the polynomial, we get:

(-3)³ + 4(-3)² + (-3) - 6

= -27 + 36 - 3 - 6

= 0

Since the result is zero, we can conclude that x + 3 is a factor of x³ + 4x² + x - 6. This means that when we divide the polynomial by x + 3, the quotient will be a polynomial without a remainder.

Learn more about binomial here:

https://brainly.com/question/13870395

#SPJ11

The two triangles in the figure are similar by the AA (Angle-Angle) similarity theorem, indicating that they have the same shape but may differ in size.

a. The two triangles in the figure are similar because they have the same shape, but may differ in size. More specifically, they are similar by the AA (Angle-Angle) similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given figure, we can see that:

Angle A in triangle ABC is congruent to angle D in triangle DEF.

Angle C in triangle ABC is congruent to angle F in triangle DEF.

Therefore, by the AA similarity theorem, we can conclude that the two triangles ABC and DEF are similar.

b. We can write a similarity statement for the two similar triangles as:

Triangle ABC is similar to triangle DEF, written as ΔABC ~ ΔDEF.

Note that this similarity statement indicates that the two triangles have the same shape, but may differ in size. Also, the order of the vertices is important and should be listed in the same order for both triangles.

To learn more about similarity theorem please click on below link        

https://brainly.com/question/24167205

#SPJ1

Answer:

i got 27

Step-by-step explanation: