Use the inequality below to find the value of r .
150 - 5 r ≥ 87.5

a. r ≥ 12.5
b. r ≤ 12.5
c. r ≥ -(12.5)
d. r ≤ -(12.5)

The store at which the apple will cost the cheapest is: Store A

The formula for the slope between two coordinates is:

Slope = (y₂ - y₁)/(x₂ - x₁)

Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)

The slope for each line will give us the cost for each apple in the store.

Thus:

Slope for store A = (3 - 0)/(4 - 0)

Cost for store A apple = $0.75

Slope for Store B = (5 - 0)/(5 - 0)

Cost for store B apple = $1

Slope for Store C = (5 - 0)/(4 - 0)

Cost for store C apple = $1.25

Slope for Store D = (6 - 0)/(3 - 0)

Cost for store C apple = $2

Thus, store A has the cheapest Apple

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We want to evaluate

As 'x' tends to 0, the argument of the cosine function (1/x) tends to infinity.

The range of the cosine function varies between -1 and 1, and we don't know the behavior of infinity on this function. Then, this limit is undefined.

For the plot of this graph, we have

It comes from the value of 1, and starts oscilating near the y-axis increasing its frequency.

Answer:

The number is 546.208 in standard form.

Step-by-step explanation:

The standard form consist in the presentation of given number in decimal format. The proceeding is described as follows:

1) Each component of the sum is simplified.

2) Results are summed to get number in standard form.

That is,

Step 1

\(5 \times 100 = 500\)

\(4 \times 10 = 40\)

\(6 \times 1 = 6\)

\(2 \times \left(\frac{1}{10} \right) = 0.2\)

\(0 \times \left(\frac{1}{100}\right) = 0.00\)

\(8 \times \left(\frac{1}{1000} \right) = 0.008\)

Step 2

\(x = 500 + 40 + 6 + 0.2 + 0.00 + 0.008\)

\(x = 546.208\)

The number is 546.208 in standard form.

The number in standard form is written as 546.208

Given :

\(5 \cdot 100+4 \cdot 10+6\cdot1+2\cdot( \frac{1}{10} )+8\cdot( \frac{1}{1000} )\)

Write it in standard form

To write it in standard form , we multiply the numbers and add it all

\(5 \cdot 100=500\\4 \cdot 10=40\\6\cdot 1=6\\2\cdot( \frac{1}{10} )=0.2\\8\cdot( \frac{1}{1000} )=0.008\)

Now we add all the decimal values

\(500+40+6+0.2+0.008= 546.208\)

The number in standard form is written as 546.208

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The total payment made for a mortgage is :

where T is the total payment made

P is the financed amount

r is the monthly interest rate, annual rate divided by 12

n is the number of payments

From the problem :

P = $275,000

r1 = 3.4% or 0.034/12

n = 20 years x 12 months = 240 months

Using the formula above, the total payment made for 3.4% rate is :

Using the same formula but with r2 = 2.9% rate, the total payment is :

The difference is :

379390.6462 - 362739.2992 = $16,651.347

You will save $16,651.35

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer:

3 1/8

Step-by-step explanation:

Add the 1 3/8 cups of walnuts to the 1 3/4 cups of raisins. You will have to make your denominators the same to add the fraction.

1 3/8. 1 3/8

+1 3/4. 3 x 2 = 6. +1 6/8

_____ 4 x 2 = 8. ______

2 9/8 reduce 3 1/8

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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Answer:

13.6122

Step-by-step explanation:

(x-18.6)/15.3=-0.326

x-18.6=-0.326*15.3

x-18.6=-4.9878

x=-4.9878+18.6

x=13.6122

5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

Answer:

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

the one of the given point falls to same area ;

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

1

Step-by-step explanation:

The value of expression is 1.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

x²-3y + 12

Now, solving for x= -2 and y= 5

=(-2)²-3(5) + 12

=4 - 15 + 12

=-11 + 12

=1

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Answer:

23.9425 (Round if needed)

Step-by-step explanation:

This is 2 half circles so you can find the area of a circle and divide it by 2.

First circle has a diameter of 6 cm

6/2=3 cm

So, circle has radius of 3.

Area of circle= 3.14(pi) radius^2

3.14 x 3^2= 28.26

28.26/2=14.13 cm

Area of first half circle= 14.13

Repeat that process for the second circle.

3.14 x 2.5^2=19.625

19.625/2=9.8125

14.13+9.8215=23.9425

Area=23.9425

Answer:

Yes, because the users were randomly assigned to treatment and control groups

Step-by-step explanation:

Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.

Answer:

C:  Yes, because the users were randomly selected

Step-by-step explanation:

Got it right on USATP.

Hope this helps!

From: Aug1e

Answer:

Expression:

Given that;

Large ballons are sold in packages of 12.

For p packages, the total number of ballons will be;

Therefore, both answers correct:

Answer:

16,000

Step-by-step explanation:

11,319 rounded to the nearest thousand is 11,000.

4,895 rounded to the nearest thousand is 5,000.

11,000 + 5,000 is equal to 16,000.

Answer: B. When finding the midpoint between two points on a vertical line, keep the x-coordinate and find the average of the y-coordinates

The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.

It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :

PM = MR

2x+5 = 4x -7

4x -2x = 5 + 7

2x = 12

x = 12/2

x = 6

Hence proved that the value of x is 6

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Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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\(\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}\)

According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-

\(\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}\)

And here radius is 20 in.

\(\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }\)

Answer:

33493.34

Step-by-step explanation:

r=20

volume of sphere= 4/3×πr^3

= 4/3×3.14×20^3

= 33493.34

or

r=20

volume of sphere= 4/3×πr^3

= 4/3×22/7×20^3

= 33523.80952

The dancers in the ballroom have approximately 113.1 square meters of area to move around on.

The area of a circle is given by the formula A = π\(r^2\), where A is the area and r is the radius. In this case, the radius of the dance floor is 6 meters, so we can plug that into the formula:

A = π\((6)^2\)

Simplifying the expression, we get:

A = 36π

To find the approximate area, we can use 3.14 as an approximation for π and calculate:

A ≈ 113.1 square meters

Rounding to the nearest tenth, we get:

A ≈ 113.1 ≈ 113.1 square meters

Therefore, the dancers in the ballroom have approximately 113.1 square meters of area to move around on.

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Answer:

so you need the value for the 20% right ?

Step-by-step explanation:

Answer:

I believe the Answer is B

I'm really sorry if this is wrong.

Step-by-step explanation:

I tried my best :)

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

m = 18/43.

Step-by-step explanation:

13m + 3 − 56m = −15

13m - 56m = -15 - 3

- 43m = -18

m = 18/43.

Answer: plz mark me as brainiest

i took the test and its 36

The distance travelled by the particle is 15

\(v(t) = \frac{t ds}{dt} = 2t - 2\)

\(ds = v(t) dt\)

\(\implies ds(t) = (2t-2)dt\)

\(\implies s = \int\limit_0^5 (2t-2) \, dt\)

\(s = \left(t^2 - 2t \right)_2^5 = 25 - 10 - 4 + 4\)

\(\therefore s = 15\)

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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