A farm lets you pick 2 pounds of blueberries for 5 dollars.

1. the unit rate of dollars to pounds is ___ dollars per 1 pound

2. the unit rate of pounds to dollars is ___ pounds per 1 dollar

Answer:

Center: 10, -6, Radius: 7

Step-by-step explanation:

This equation can be rewritten using the formula

(x-p)²+(y-q)²=r²

From this we get that p=10 and q=-6, because -(-6)=+6. This is how we get the center points.

And since the square root of 49 is 7, we see that the radius is 7.

Answer:

2

Step-by-step explanation:

Scale factor tells how much the size of the figure increases or decreases. Part A shows that the larger figure is twice the size of the smaller figure. So, the scale factor of this dilation is 2.

Using proportions, the most appropriate unit selection for the legend of the map 1/2 inches to 125 miles.

This scale was chosen applying the proportion between the width of the United States and the width of the piece of paper, and another possible scale is of 1 inch to 20 miles.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships.

One example of application of proportions is for scale problems, in which we find the scales are applied to find the real distances, or vice-versa.

For this problem, the country is drawn on a paper with these following dimensions:

81/2 = 41.5 inches to 11 inches.

Since the United States is 2,500 miles wide, we have that:

2500/41.5 = 60 (approximately).

Hence the scale could be of:

1 inch - 60 miles.

Applying half to the proportion, and approximating, an scale is:

1/2 inches to 125 miles.

Which is the appropriate unit selection.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

it could possibly be because of stress. Do you stress alot?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7 units north

Step-by-step explanation:

Count from 3,4 to 10,4 and there are seven units

The value of the series 4 + 9 + 14 + ... + (5n-1) using the summation notation is (5n^2 + 3n)/2.

The value of the series 4 + 9 + 14 + ... + (5n-1) can be found using the summation notation as follows:

Identify the first term, common difference, and number of terms in the series. The first term is 4, the common difference is 5, and the number of terms is n.

Use the summation notation to write the series as ∑_{i=1}^{n} (5i-1).

Use the formula for the sum of an arithmetic series to find the value of the series. The formula is S_n = n/2 (a_1 + a_n), where S_n is the sum of the series, n is the number of terms, a_1 is the first term, and a_n is the last term.

Substitute the values of n, a_1, and a_n into the formula and simplify. S_n = n/2 (4 + (5n-1)) = n/2 (5n+3) = (5n^2 + 3n)/2.

The value of the series is (5n^2 + 3n)/2.

Therefore, the value of the series 4 + 9 + 14 + ... + (5n-1) using the summation notation is (5n^2 + 3n)/2.

Learn more about Notation

brainly.com/question/29531272

#SPJ11

We can make 37 , 3-letter strings  from the letters a, b, c, and d.

1 . AAA    - This word could be written in 1 way.

2. AAB, AAC, AAD  

3.ABB, ACC, ADD

4. ABC, ABD, ACD      

Total = 1+9+9+18

        = 37

So, we can make 37  3-letter strings  from the letters a, b, c, and d by applying the method called permutation.

To learn more about permutation, refer:

https://brainly.com/question/1216161

#SPJ1

Therefore, the possible rational zeros of C(x) are -1/2, 1/2, -1, 1, -2, and 2.

To find the rational zeros of the function C(x), we need to find the factors of the constant term -1 and the factors of the leading coefficient 2. Then we can form all possible fractions that can be obtained by dividing the factors of the constant term by the factors of the leading coefficient.

The factors of -1 are ±1 and ±1/2, and the factors of 2 are ±1 and ±2. Therefore, the possible rational zeros of C(x) are:

±1/2, ±1, ±1/2, ±1/1, ±2/2

Simplifying these fractions, we get:

±1/2, ±1, ±2

To know more about possible rational zeros,

https://brainly.com/question/31054413

#SPJ11

The probability that the marble is large or white is 0.5714.

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability of an event is

P(A) = Number of favorable outcomes/ Total Number of outcomes      

       = n(A)/n(S)

where

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

We have,

Number of large marbles = 14

Number of small marbles = 10

Number of large green marbles = 8 which implies

Number of large white marbles = 14 - 8 = 6

Number of small white marbles = 4 which implies

Number of small green marbles = 10 - 4 = 6.

Now, let

Let X be the event of drawing large marble.

Let Y be the event of drawing small marble.

Let M be the event of drawing white marbles.

Let N be the event of drawing green marbles.

Since only one marble is drawn at a time ,

so P(X) =  14/24

    P(Y) = 10/24

    P(M) = 10/24

    P(N) = 14/24

We have to find the probability that a marble is large or white i.e. P(X∪M).

P(X∪M) = P(X) + P(Y) - P(X∩M)

P(X∩M) = In 14 large marbles 6 are white marbles = 6/14.

P(X∪M) = P(X) + P(Y) - P(X∩M) = 14/24 + 10/24 - 6/14 = 0.5833+0.4167-0.4286 = 0.5714.

Therefore, the probability of drawing large or white marble is 0.5714.

To know more about probability, visit

https://brainly.com/question/19169117

#SPJ4

Answer:

4^3

11>6

y>2

13-x

Step-by-step explanation:

4 is to the third power

11 is greater than 6 which means u use this sign >

y is greater than 2

13 subtract x

The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14.

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

As per the given pattern,29, 28, 26, 23, 19

29 - 28 = 1

28 - 26 = 2

26 - 23 = 3

23 - 19 = 4

Since the difference is increasing by 1

So the difference of 19 and the next number (x) will be 4 + 1 = 5.

19 - x = 5

x = 14

Hence "The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14".

For more information about the pattern,

brainly.com/question/14013716

#SPJ2

Check the picture below, I'll be referring to the material in the picture.

we know the outer cube has a surface area of 24, we also know is a cube, so it has 6 equal sides which are squares each, let's say the side of one of those squares in the cube is say of length "s", so the area of one square will just be  s², and for 6 squares that'll be an area of 6s², that is the area of the outer cube, which we know is 24.

\(24=6s^2\implies \cfrac{24}{6}=s\implies 4=s^2\implies \sqrt{4}=s\implies 2=s\)

now, we know the sphere is inscribed in the outer cube, so it's touching its edges, like you see in the picture in blue, so if we get a cross-section of the whole lot, we'd get the picture to the right of blue cube in the picture, an outer cube with a side of 2, and therefore an sphere with a diameter of 2, and thus a radius of 1, as you can see in the red triangle.

Let's notice that the red triangle is a 45-45-90 triangle, and thus we can use the 45-45-90 rule to get its sides, as you can see in the picture on the far-right, which gives us half of one side of the inner cube to be 1/√2.

\(\stackrel{\textit{half a side}}{\cfrac{1}{\sqrt{2}}}\qquad \stackrel{\textit{a full side}}{\cfrac{1}{\sqrt{2}}+\cfrac{1}{\sqrt{2}}}\implies \cfrac{2}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2}\sqrt{2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}\)

now as you can see in the picture, the inner cube in orange, has 6 sides, each side is √2 long, so let's get the 6 squares area.

\(\stackrel{\textit{area of one square}}{\sqrt{2}\cdot \sqrt{2}\implies 2}\qquad \stackrel{\textit{area of all 6 sides of the inner cube}}{6\cdot 2\implies 12}\)

Step-by-step explanation:

Using Trigonometry,

tan33° = Opposite/Adjacent = GF/DF.

Therefore GF = DF * tan33°

= 235tan33° = 152.6.

Angle GEF = Angle EDG + Angle DGE

= 33° + 34° = 67°. (Exterior Angle Theorem)

Using Trigonometry,

sin67° = Opposite/Hypotenuse = GF/EF.

Therefore EF = GF / sin67°

= 152.6 / sin67° = 165.8.

Hence the answer is the 1st option.

Answer:

the answer is A. GF =152.6 and EG=165.8

GF= 235*(tan(33))

EG= 152.6/(sin(67))

Look at the attached picture

Hope it will help you..

Good luck for the test...

(◕ᴗ◕✿)(ʘᴗʘ✿)

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

Learn more about exponential distribution here: https://brainly.com/question/28256132

#SPJ11

Answer:

the answer is 35 cm

Step-by-step explanation:

to make sure that you dont have a problem next time here is a formula

area of any polygon is the sum of all sides so 9 + 9 + 12 + 5 = 35

Answer:

Yes bro I can sove this question

Step-by-step explanation:

Please mark me brainliest thanks

Answer:

384

Step-by-step explanation:

multiply all those numbers together

The skydiver deploys the parachute 20 seconds after jumping from the airplane.

The elevation is a term used to describe the vertical distance above or below a reference point or surface, usually the Earth's surface. In the context of a plane, elevation refers to the height of the plane above or below the ground or sea level.

The elevation is typically measured in feet or meters above sea level. The altitude of a plane is closely related to its elevation, but it specifically refers to the height of the plane above a standard reference level, such as sea level or a specific airport elevation.

The elevation of a plane can have significant effects on its performance and safety. High elevations can reduce the density of the air, which in turn can affect the plane's lift, thrust, and maneuverability. This can be particularly challenging for aircraft taking off or landing at high-altitude airports.

Pilots use a variety of instruments to measure the elevation and altitude of a plane, including radar altimeters, barometric altimeters, and GPS systems. These instruments can provide accurate and real-time information about the plane's position and height above the ground or sea level, helping the pilot to navigate and operate the plane safely.

In summary, elevation refers to the vertical distance above or below a reference point or surface, such as the Earth's surface. In the context of a plane, elevation refers to the height of the plane above or below the ground or sea level. Understanding and monitoring the elevation and altitude of a plane is crucial for safe and efficient flight operations.

We need to find the time when the elevation y is equal to 3600 feet. So, we can set y = 3600 and solve for x.

\(-16x^2\) + 10,000 = 3600

Subtracting 3600 from both sides:

\(-16x^2\) + 6400 = 0

Dividing both sides by -16:

\(x^2\)- 400 = 0

Adding 400 to both sides:

\(x^2\) = 400

Taking the square root of both sides:

x = ±20

Since the skydiver is not going to deploy the parachute before jumping from the airplane, the time must be a positive value. Therefore, x = 20 seconds.

Hence, the skydiver deploys the parachute 20 seconds after jumping from the airplane.

To know more about elevation visit:

brainly.com/question/29477960

#SPJ1

We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.

a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:

A = 3000(1 + 0.02/1)^(1*1)

A = 3000(1 + 0.02)^1

A = 3000(1.02)

A = 3060

Therefore, the amount owed at the end of the first year is $3060.

b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:

A = 3000(1 + 0.02/1)^(1*2)

A = 3000(1 + 0.02)^2

A = 3000(1.02)^2

A = 3000(1.0404)

A = 3121.20

Thus, the amount owed at the end of the second year is $3121.20.

In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.

Learn more about compound interest: brainly.com/question/28020457

#SJP11

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

Circumference = 50.24 units

To find the radius substitute the value into the above formula and solve for the radius

That's

\(50.24 = 2\pi \: r\)

Divide both sides by 2π

We have

\(r = \frac{50.24}{2\pi} \)

r = 7.9959

We have the final answer as

Hope this helps you

Answer:

8 units

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

50.24 = 2 * pi * r

Using 3.14 to approximate pi

50.24 = 2 * 3.14 * r

50.24 = 6.28 r

Divide each side by 6.28

50.24/6.28 = r

8 = r

Answer:80

Step-by-step explanation:

Answer:

y=-4x+5

Step-by-step explanation:

Answer:

We can rewrite this as \(\frac{200x}{x} + \frac{-300}{x}\).

\(\frac{200x}{x}\) simplifies to 200 after eliminating x from the numerator and denominator and \(\frac{-300}{x}\) becomes \(-\frac{300}{x}\) so the final answer is \(200 - \frac{300}{x}\).

Answer:

I solved it for u!

Hope ot helps!!!

The volume of the rectangular prism will be 1008 cubic inches and the volume of the pyramid is 504 cubic inches.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.

The volume of the pyramid is the product of half of the area of the base and the height of the pyramid,

The volume of prism = 14 x 12 x 6

The volume of the prism = 1008 cubic inches

The volume of the pyramid,

Volume = 1/2 x Base area x H

Volume = 1/2 x 72 x 14

Volume = 504 cubic inches.

To know more about volume follow

brainly.com/question/24284033

#SPJ1

To graph the equation \(x=y^2\) on a TI-83 calculator, you need to follow a few steps. First, go to the "\(Y=\)" screen by pressing the "\(Y=\)" button. Then, enter the equation by typing "\(y^2\)" into the first available function slot. Press the "GRAPH" button to display the graph of the equation on the calculator screen.

To explain the process in more detail, start by turning on your TI-83 calculator and pressing the "\(Y=\)" button, which will take you to the function screen. You'll see a list of function slots labeled "\(Y1\)," "\(Y2\)," and so on. Enter the equation "\(y^2\)" in one of the slots. To enter the squared symbol, press the "^" key, usually located near the upper right corner of the calculator's keypad, followed by "\(2\)." Make sure you use the "\(y\)" variable, which can be found by pressing the "ALPHA" button and then the corresponding letter key. Once you have entered the equation, press the "GRAPH" button to plot the graph on the calculator's screen. The graph should display a parabola opening to the right, representing the equation \(x=y^2\).

By following these steps, you can easily graph the equation \(x=y^2\) on a TI-83 calculator. Remember to check if the graph is within the viewing window and adjust it if necessary using the window settings.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ11