Maya wants to but plants for her yard. She wants to buy at least 5 plants. Nandinas cost $5 per plant and azaleas cost $10 per plant. She cannot spend more than $50. Give the system of inequalities and two possible choices for her to buy.

Answer:

√3 x^5y

√3=1.7

1.7 • x^5 • y

1.7 • X^4• x• y.

Step-by-step explanation:

hope it helps.

have a wonderful day!

Answer:

x^5/3 y^1/3

Step-by-step explanation:

i took the test and got it correct.

Answer:

it is 50.27

Step-by-step explanation:

the formula for finding the area it

A= pi r^2

pi=3.14

so that being said you want to:

you want to divide the diameter by 2 to get 4,then you want to do 4^2 to get 16. then multiply 16 by 3.14 to get 50.265 then you want to round up to 50.27

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

(-3,4)

Step-by-step explanation:

Point r must be on the same y axis as P and the same x axis as Q as it will result in a right triangle.

You can graph it to better see the results:

I think the answer is (-3,4) !

Answer:

\((x-5-\sqrt{19})(x-5+\sqrt{19})\)

Step-by-step explanation:

1) In general, given \(ax^2+bx+c\), the factored form is:

\(a(x-\frac{-b+\sqrt{b^2-4ac} }{2a} )(x-\frac{-b-\sqrt{b^2-4ac} }{2a})\)

2) In this case, \(a=1\), \(b= -10\) and \(c=6\).

\((x-\frac{10+\sqrt{(-10)^2-4\times6} }{2} )(x-\frac{10-\sqrt{(-10)^2-4\times6} }{2} )\)

3) Simplify.

\((x-\frac{10+2\sqrt{19} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)

4) Factor out the common term \(2\).

\((x-\frac{2(5+\sqrt{19)} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)

5) Cancel \(2\).

\((x-(5+\sqrt{19} ))(x-\frac{10-2\sqrt{19} }{2} )\)

6) Remove parentheses.

\((x-5-\sqrt{19} )(x-\frac{10-2\sqrt{19} }{2} )\)

7) Factor out the common term \(2\).

\((x-5-\sqrt{19} )(x-\frac{2(5-\sqrt{19}) }{2} )\)

8) Cancel \(2\).

\((x-5-\sqrt{19})(x-(5-\sqrt{19}))\)

9) Remove parentheses.

\((x-5-\sqrt{19})(x-5+\sqrt{19})\)

Thanks,
Eddie Echevarria

Based on the volume of the solid, the value of K is 8960.

The volume of the solid = volume of the cone + volume of the hemisphere

The volume of the cone = ¹/₃hπr²

The volume of the hemisphere = ²/₃πr³

where;

r is radius = 20 cm

h is the height of the cone = ?

The curved surface area of the cone = πrl

The curved surface area of the cone = 580π cm²

πrl =  580π

l = 580/20

l = 29 cm

h = √(29² - 10²)

h = 27.2 cm

The volume of cone = ¹/₃ * 27.2 * 20² * π

The volume of the cone = 3626.7π cm³

The volume of the hemisphere = ²/₃ * π * 20³

The volume of the hemisphere = 5333.3 cm³

The volume of the solid = 5333.3π cm³ + 3626.7π cm³

The volume of the solid = 8960π cm³

The volume of the solid is kπcm³ = 8960π cm³

K =  8960

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Given what we know, we can say that it is possible for 9 out of 10 students to score above average, but it is not possible for all 10 to score above average.

In order to calculate the average score of the students, we must use addition.

We have to add all of the scores, in this case, 10 scores, and then divide by the number of scores.

One example of 9 out of 10 students scoring above average would be:

\(1 + 9 +9+9+9+9+9+9+9+9 = 82\)

\(82/10 scores = 8.2\)

This would leave us with an average score of 8.2 and 9 out of 10 students that have scored higher.

Given the way in which we calculate average scores, it is impossible for all 10 students to score above average since even if all 10 students get a perfect score, that would then become the average.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

a² = a × a

a > 1

a² = (1+d) × (1+d) = 1² + 2d + d²

with d > 0

since d > 0, then so is 2d and also d².

so, a² is the sum of 1² = 1 and something greater than 0.

so, a² > 1

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

5000 ;

11125

Step-by-step explanation:

Given :

Total principal = 16125

Rates = 8.5% and 4%

Period, t = 2 years

Total interest = 1740

Let :

Principal amount invested at 8.5% = x

Principal amount invested at 4% = 16125 - x

Interest formula :

Interest = principal * rate * time

Hence, mathematically ;

(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740

(0.17x + 1290 - 0.08x ) = 1740

0.09x + 1290 = 1740

0.09x = 1740 - 1290

0.09x = 450

x = 450 / 0.09

x = 5000

Amount invested at 4% :

16125 - 5000 = 11125

The requried error in the speed is approximately 5.45 mph, and the relative error is 1.81% when the skid-mark length is 200 feet with a measurement error of ±10 feet.

To find the error and relative error in the speed for the skid-mark length when the error in measuring the length is ±10 feet, we need to calculate the error in the speed and then express it as a percentage relative to the original speed.

Given the formula for speed in terms of skid-mark length:

\(S = 9.4L^{0.37\\\)

Where S is the speed in mph, and L is the length of skid marks in feet.

Let's first find the speed (S) for the original skid-mark length (L = 200 feet):

\(S_{original} = 9.4 * 200^{0.37}\)

Now, we'll calculate the speed for the increased skid-mark length (L = 200 + 10 = 210 feet):

\(S_{increased} = 9.4 * 210^{0.37}\)

Next, calculate the speed for the decreased skid-mark length (L = 200 - 10 = 190 feet):

\(S_{decreased} = 9.4 * 190^{0.37}\)

Now, find the error in the speed:

\(Error = |S_{original} - S_{increased|}\)

\(Error = |(9.4 * 200^{0.37}) - (9.4 * 210^{0.37})|\)

Calculate the value:

Error ≈ |(9.4 * 21.522) - (9.4 * 22.223)|

Error ≈ |202.9008 - 208.3512|

Error ≈ 1.21

Now, find the relative error in the speed as a percentage:

Relative Error (%) = (Error / S{original} * 100

                            \(= (1.21 / (9.4 * 200^{0.37})) * 100\)

Relative Error (%) ≈ 1.81%

So, the error in the speed is approximately 5.45 mph, and the relative error is approximately 1.81% when the skid-mark length is 200 feet with a measurement error of ±10 feet.

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Answer:

10 hours

Step-by-step explanation:

\( \frac{28}{7} = \frac{40}{h} \)

\(28h = 280\)

\(h = 10\)

Answer:

Thomas will need 24 cups of lemon juice.

Step-by-step explanation:

There are 4 quarts in every gallon.

12 x 4 = 48

2 cups of lemon juice for every 2 quarts of water.

48 / 2 = 24

Hope This Helps!

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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Answer: 8a^5 (3a^2 - 1)

Step-by-step explanation:

I factored 8a^5 out of the 24a^7 - 8a^5

Answer:

60

Step-by-step explanation:

We are using sigma notation to solve for a sum of arithmetic sequences:

The 5 stands for stop at i = 5 (inclusive)

The i = 1 stands for start at i = 1

The 12 stands for expression of each term in the sum

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 925 and a standard deviation of 60 degrees.

This means that \(\mu = 925, \sigma = 60\)

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1150 - 925}{60}\)

\(Z = 3.75\)

\(Z = 3.75\) has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Answer:37

Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

n=-5

Step-by-step explanation:

Let "n" represent the unknown number.

So, the equation asks for 4n and two more, or +2, that is all equal to -18.

So, your equation will be:

\(4n+2=-18\)

First, subtract 2 from both sides:

\(4n+2-2=-18-2\\4n=-20\)

Then, divide both sides by 4:

\(\frac{4n}{4}=\frac{-20}{4}\\n=-5\)

Therefore, n=-5.

Answer:

85

Step-by-step explanation:

The sum of the angles inside a triangle is 180 degrees.

A circle is 360 degrees, making half of it be 180 as well.

Since there are 121 degrees already marked, subtract it from 180 and you will get 59 degrees.

36 + 59 = 95

180 - 95 = 85 degrees.

Answer:

x = 85

Step-by-step explanation:

angles of a triangle = 180 degrees (all angles must equal 180)

if you minus 121 from 180, it will give the interior angle which is 59 degrees

therefore 59 + 36 + x  = 180

to find x plus 59 and 36 = 95 degrees

180 - 95 = 85

x = 85 degrees

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

hopes this helps please mark brainliest

Answer:

A is 4.5 scale wise

B is also 4.5 scale wise

C is 0.5 scale wise

D is 2 scale wise

Step-by-step explanation:

Answer:

2 13/15 miles

Step-by-step explanation:

Hey there!

Well first we need to find the distance between Lancaster and Hillsdale and Lancaster to Silvergrove.

9 + 7 13/15

= 16 13/15

LS is just 14 miles.

Now we can do,

16 13/15 - 14

= 2 13/15 miles

Hope this helps :)

Answer:

800 Books were signed out

Step-by-step explanation:

20% of 4000 is 800

Hi there!  

»»————-　★　————-««

I believe your answer is:

800 books.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}\)

⸻⸻⸻⸻

There should be 800 books that were teen romance.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Southern states felt betrayed by President Zachary Taylor because he pushed for the 1850 Compromise on slavery, going against what his fellow southerners believed in.

Answer:

here u go.  because he pushed for the 1850 compromise on slavery

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 = 16

subtract 10 from both sides of the equation

x/4 + 10 - 10 = 16 - 10

x/4 = 16 - 10

x/4 = 6

multiply both sides of the equation by 4

x/4 * 4 = 6 * 4

x = 6 * 4

x = 24

Answer:

nose de ecuaciones perdonnnn :c

Step-by-step explanation:

Answer:

The answer is B on edge

Step-by-step explanation:

The velocity vector of the airplane is \(150\sqrt{2}\)mph.

The velocity vector denotes the direction in which the object changes its position with respect to time.

An airplane travels at 300 mph in the direction S 45° E.

The velocity vector is calculated as,

\(\hat{V}\)=V cos 45

Where V is the velocity of the plane travelled that is 300mph.

\(\hat{V}=300*(\frac{1}{\sqrt{2} })\)

   = \(2*150*(\frac{1}{\sqrt{2} } )\)

\(\hat{V}=150\sqrt{2}mph.\)

Hence, the velocity vector of the airplane is \(150\sqrt{2}\).

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x=6

Step-by-step explanation:

x ÷ 7 ÷10 = 3/35

(Use trial & error - since I knew x<7)

6/7 ÷ 10 = 3/35

Or

3/35 x 10

(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)

Hope this helps!