Hello I really needs some help this is algebra

Answer:

additive identity

Step-by-step explanation:

-11+N=-11     N=0

ADD 11 TO BOTH SIDES

-11+N+11   =-11 +11

(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE

N=0

*Additive Identity Property states The sum of any number and 0 is that number.  

Answer:

40% of 32 is 80 so 20% of 80 is 400

Answer: .B.

Step-by-step explanation

Answer:

8

Step-by-step explanation:

The median is the number right in the middle. Eight is in the middle of the number line making it the median.

Answer:

x>3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

Answer:

The LCM of 6 and 9 is 18.

Step-by-step explanation:

To find the LCM (least common multiple) of 6 and 9, we need to find the multiples of 6 and 9 (multiples of 6 = 6, 12, 18, 24; multiples of 9 = 9, 18, 27, 36) and choose the smallest multiple that is exactly divisible by 6 and 9, i.e., 18.

Answer:

I think it's C. 18

Step-by-step explanation:

To find the LMC (Least Common Multiple) we need to find a number that is disable both by 6 and 9. Plus it has to be the least common one.

9 isn't right cause 6 can't multiply something to get 9.

12 isn't right cause 9 can't multiply something to get 12.

3 isn't right cause 3 is a factor of 6 and 9, not a multiple.

The equation in polar coordinates of the line through the origin with a slope of 1/8 is given by θ = arctan(1/8).

In polar coordinates, a line passing through the origin can be represented by an equation of the form θ = arctan(m), where m is the slope of the line.

Given that the slope of the line is 1/8, substitute this value into the equation: θ = arctan(1/8).

Use a calculator or trigonometric tables to calculate the arctan(1/8):

θ = arctan(1/8) ≈ 0.1244 radians (approximately)

The result is in radians, which is the standard unit for angles in polar coordinates.

The equation in polar coordinates of the line passing through the origin with a slope of 1/8 is θ = arctan(1/8), where θ represents the angle measured in radians.

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9514 1404 393

Answer:

  h = 3V/A

Step-by-step explanation:

Multiply by h to get it out of the denominator.

  Ah = 3V

Divide by the coefficient of h to get it by itself.

  h = 3V/A

_____

Whatever you do to one side of the equation must also be done to the other side. When we say "multiply by h", you should understand that to mean "multiply both sides of the equation by h."

This rule, "do the same thing to both sides of the equation," is the property of equality that makes Algebra work.

Answer:

the Profit for the month is $2,083.43

Step-by-step explanation:

The computation of the profit for the month is shown below:

Profit for the month is

= Monthly gross receipts - expenses

= $20,834.34 - $18,750.91

= $2,083.43

hence, the Profit for the month is $2,083.43

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

y=13.15x+14

Step-by-step explanation:

That is the equation, if you need the graph lmk

Answer:

?=14+13.15x

14+13.15x=?

?=13.15x+14

13.15x+14=?

Answer:

8.5

Step-by-step explanation:

d = √[(-7+1)²+(-1-5)²]

= √[(-6)²+(-6)²]

=√(36+36)

=√72

= 8.5

Answer:

8.5

Step-by-step explanation:

we can plug those coordinates into the distance formula

d =  √(x2 - x1)2 + (y2 - y1)2

d= √((-7)-(-1)^2+((-1)-(5)^2

d = √36+36

d=√72 = 8.48 or 8.5

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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Answer:

Step-by-step explanation:

\(\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}\)

Answer:

slope = \(\frac{5}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5,  15 )

m = \(\frac{15-10}{5-2}\) = \(\frac{5}{3}\)

in your calculator, type in 18.25/6.

The equivalent exponential expression for this problem is given as follows:

A. 4^15 x 5^10.

The exponential expression in the context of this problem is defined as follows:

\(\left(\frac{4^3}{5^{-2}}\right)^5\)

To simplify the expression, we must first apply the power of power rule, which means that when one exponential expression is elevated to an exponent, we keep the base and multiply the exponents, hence:

4^(15)/5^(-10)

The negative exponent at the denominator means that the expression can be moved to the numerator with a positive exponent, hence the simplified expression is given as follows:

4^15 x 5^10.

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

Step by Step Explanation:

120ft³ = 3ft × 4ft × 10ft

120ft³ = 1ft × 1ft × 120ft

120ft³ = 2ft × 2ft × 30ft

120ft³ = 5ft × 3ft × 8ft

...

Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.

Given the expressions, (5/2x +1) and (1/2x + 1/4), find the product by multiplying both together as shown below:

(5/2x + 1)(1/2x + 1/4)

Distribute

5/2x(1/2x + 1/4) + 1(1/2x + 1/4)

5/4x² + 5/8x + 1/2x + 1/4

Combine like terms

5/4x² + 9/8x + 1/4

Therefore, the product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.

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Satoko has 303030 tokens to spend at an arcade, and the three lines indicate the cost of playing her favorite games. She must also consider her personal preference for each game, as enjoyment plays a crucial role.

Satoko's objective is to make the most out of her 303030 tokens while enjoying her three favorite games at the arcade. To achieve this, she needs to allocate her tokens wisely across the three games. By analyzing the cost of playing each game for various numbers of times, she can determine the optimal strategy.

First, Satoko should identify the game with the lowest cost per play. If one game stands out as the most affordable, she can prioritize it to maximize the number of plays within her token budget. However, she must also consider her personal preference for each game, as enjoyment plays a crucial role.

Next, Satoko can distribute the remaining tokens among the other two games. She should aim to strike a balance, ensuring she has a reasonable number of plays for each while still getting the most out of her tokens. It might be beneficial to allocate more tokens to the game she enjoys the most among the remaining two.

By carefully analyzing the cost per play and her personal preferences, Satoko can make informed decisions on how to allocate her 303030 tokens at the arcade. This strategic approach will help her maximize her enjoyment and extend her gaming experience within the given budget.

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Step-by-step explanation:

angle  B = angle D    

                     corresponding angles of parallel lines intersected by another    .                                               line are equal

angle BEA = angle DEC         Verical angles are equal

ABE ~~ CDE                           due to  A - A -S  theorem for triangles

[cos(x) - sin²(x)] / [sin(x) cos(x)] and this is the simplified form of the given expression in terms of sine and cosine. To rewrite the given trigonometric expression in terms of sine and cosine, we first need to convert the cosecant (csc) function to its reciprocal form.

csc(θ) is the reciprocal of sin(θ), so we can write it as:
csc(θ) = 1/sin(θ)
Now, we can rewrite the expression as:
(1/sin(θ)) - sin(θ) cos(θ)
This expression is already in terms of sine and cosine, so there's no further simplification needed. Your final answer is:
(1/sin(θ)) - sin(θ) cos(θ)

To write the given trigonometric expression in terms of sine and cosine, we can use the identity:
csc(x) = 1/sin(x)
So, csc(x) - sin(x) cos(x) can be written as:
1/sin(x) - sin(x) cos(x)
Now, to simplify this expression, we can multiply the second term by (1/cos(x))*(cos(x)/cos(x)):
1/sin(x) - sin²(x)/cos(x)
Now, to get a common denominator, we can multiply the first term by (cos(x)/cos(x)):
cos(x)/[sin(x) cos(x)] - sin²(x)/cos(x)
Combining the fractions, we get:
[cos(x) - sin²(x)] / [sin(x) cos(x)]
And that is the simplified form of the given expression in terms of sine and cosine.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

24 kilometers per hour

Step-by-step explanation:

15 kph x 8 h = 120 kilometers

120km/5 hours = 24 kph

Step-by-step explanation:

Hi, there!!!

According to the question,

1st case

At the speed of 15 km/ hr, it takes time 8 hrs to reach a point.

Then, we must find the distance first to calculate your speed in 2nd case,

So, let's find the distance first,

now,

distance (d) = s×t

or, d= 15km/ hr × 8hrs

Therefore, the distance is 120 km.

now,

In 2nd case,

As the question has asked to find speed on same point, it will have same distance covered.

time( t) = 5hrs.

distance (d)= 120km

now,

speed = distance/time taken

or, s= 120 km/5 hrs

or, s = 24km/ hr.

Therefore, your speed in 2nd case will be 24km/hr.

Hope it helps...

Answer:

x = 10

5x = 50

2x = 20

Step-by-step explanation:

This is a triangle, so all the angles will equal 180, so you can set up the equation like so:

110 + 5x + 2x = 180

COmbine like terms:

110 + 7x = 180

Subtract 110 from each side:

7x = 70

divide each side by 7:

x=10

Substitute to find the values of the angles:

5x

5 ( 10 )

50

2x

2 ( 10 )

20

Answer:

6 ft

Step-by-step explanation:

We can use ratios to solve

30 ft tall             x ft tall

------------------  = ------------------

10 ft shadow       2 ft shadow

Using cross products

30 * 2 = 10x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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Answer:

I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

It will take 25 minutes for the two containers to have the same amount of water .

In the question ,

it is given that ,

water present in container A = 200L

water present in container B = 500L

rate at which the water is filling in container A= 6 liter/minute

rate at which the water is draining in container B = 6 liter/minute

let the time taken = m minutes ,

So , According to the question ,

the equation representing the situation is  

200 + 6m = 500 - 6m

Simplifying further , we get

6m + 6m = 500 - 200

12m = 300

m = 300/12

m = 25

Therefore , It will take 25 minutes for the two containers to have the same amount of water .

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