You take a package to the local shipping company. They charge $0.72 per pound, and also has a fixed cost of $5
per package. If P represents the number of pounds of your package, and C is the total cost of shipping your
package, which of these is the correct relationship between P and C?

Answer:

-1

Step-by-step explanation:

4-3=1

CHECK:

-1+-3=-4 (correct, and proven)

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer:

63°

Step-by-step explanation:

The sum of all interior angles of a triangle = 180°

Therefore:

x + 96° + 21° = 180°

x + 117 = 180

Subtract 117 from each side

x = 180 - 117

x = 63°

1. Given < XYW = < ZWY

2. Reflexive property : XY = ZW, XY is parallel to ZW

3. Alternate Interior angles : WY = YW

4. SAS = Triangle WXY = Triangle YZW

Answer: it’s B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = \(2w+15\)

width = \(2w+9\)

Area of road with pool =  \((2w+15) (2w+9)\)

\(= 4w^2+30w+18w+135\\\\=4w^2+48w+135\)

Area of road = (Area of road with pool ) -(area of pool)

\(\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2\)

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

Answer:

3n

Step-by-step explanation:

the output is 3 times the input

three times n equals 3n

a. Length of GK = \(\sqrt{34}\)  and Length of adjacent to GK = \(\sqrt{34}\)

b. Slope of GK = \(\frac{5}{3}\) and Slope of adjacent to RS =  \(-\frac{3}{5}\)

c. The parallelogram GHJK is Square.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given in figure GHJK, the vertices are G(-3, 6), H(2, 3), J(-1, -2), K(-6, 1)

a. Length of line = \(\sqrt{({x_{2}-x_{1})^{2} } + ({y_{2}-y_{1})^{2}}\)

for points G(-3, 6) and K(-6, 1)

Length of GK = \(\sqrt{(-6+3)^{2} + (1-6)^{2} }\) = \(\sqrt{34}\)

Length of GK = \(\sqrt{34}\)

Length of adjacent side (GH, KJ) to GK =  \(\sqrt{(2+3)^{2} + (3-6)^{2} }\) = \(\sqrt{34}\)

Length of adjacent to GK = \(\sqrt{34}\)

b. \(Slope = \frac{(y_{2} -y_{1})}{(x_{2} -x_{1})}\)

Slope of GK = \(\frac{(1 - 6)}{(-6 + 3)}\) = \(\frac{5}{3}\)

Slope of GK = \(\frac{5}{3}\)

Slope of adjacent side to GK = \(\frac{3-6}{2+3}\) = \(-\frac{3}{5}\)

Slope of adjacent to RS =  \(-\frac{3}{5}\)

c. All sides are equals to \(\sqrt{34}\)

So, length of diagonal GJ = \(\sqrt{({-3+1))^{2} } + ({6+2})^{2}} = \sqrt{68}\)

and length of diagonal HK = \(\sqrt{({2+6))^{2} } + ({3-1})^{2}} = \sqrt{68}\)

All sides and diagonals are equal then parallelogram GHJK is Square.

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Answer:

25 / 2

Step-by-step explanation:

Find ( D × \(\frac{E}{F}\) ) if D = 5, E = 10, F = 4

5 × \(\frac{10}{4}\) = 25 / 2

Answer:

Your answer is ( B )

Answer:

The option is  A

Step-by-step explanation:

From the question we are told that

    The population proportion is  \(p =  0.29\)

    The sample size is  n  = 451

    The number that was having difficulty is  k  =  183

Generally the sample proportion is mathematically represented as

     \(\^ {p}  =  \frac{k}{n}\)

=>  \(\^ {p}  =  \frac{183}{451}\)

=>   \(\^ {p}  =   0.4058\)

Generally the test statistics is mathematically represented as

    \(t = \frac{ \^ {p} -  p }{ \sqrt{\frac{p (1-p)}{n} } }\)

=>  \(t = \frac{0.4058 -  0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }\)

=>  \(t =  5.42 \)

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

49 and 18

Step-by-step explanation:

37 plus 12 is 49 and 25 minus 12 is 18.

Answer:

Product = \(\dfrac{64}{135}\)

Step-by-step explanation:

The expression is as follows :

\(\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}\)

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

\(4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}\)

So, the product of the given fractions is \(\dfrac{64}{135}\).

Answer:

64/135

Step-by-step explanation:

No. of strings Arnold had ⇢3

least number of equal-sized lengths each color string could have

To find the least number of equal-sized lengths of each color, we'll find the least common factor of 3,5&15

prime factor of 3 ⇢1 x 3

prime factor of 5⇢ 1 x 5

prime factor of 15⇢ 1 x 3 x 5

so,

LCM of 3,5,15 ⇢ 1 x 3 x 5 = 15

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Answer:

20

Step-by-step explanation:

2•[(6+1)2+1]

2•[(7)3]

2•10

• means times

2×10

20 answer

Answer:

p

Step-by-step explanation:

2 • [(6 + 1)2 + 1]

First The Brackets :

[(6 + 1)

->>> 6 + 1

= 7

But there's a bracket around 6 + 1 so now we multiply

-->>> [(7)2 + 1]

->>> 7 x 2

= 14

So now we add :

-->>> 14 + 1

= 15

And now we multiply:

->>> 15 • 2

--->>> 30

Hope it helps :))))

Answer:

Step-by-step explanation:

40*pi+120=40\(\pi\)+120

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

\(_nP_r = \frac{n!}{(n-r)!}\)

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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Answer:

9 and 6

Step-by-step explanation:

7x - x + 9 ← collect like terms

= (7x - x) + 9

= 6x + 9

the constant term is the numeric term, with no variable ( letter) attached

the constant term is + 9

the coefficient of x is the numeric value before x

the coefficient of x is 6

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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The radius of the sphere with the given point and the center is √238.

Here we have to find the radius of the sphere.

Given data:

The point on the surface of a sphere is (-4, -6, 10) and the point on the center is (2, 3, -1).

The formula for the radius:

r² = (x2 - x1)² + (y2 - y1)² + (z2 - z1)²

where (x1, y1, z1) = point on the center

(x2, y2, z2) = point on the sphere

Now putting the values we have

r² = (-4-2)² + ( -6-3)² + ( 10 +1)²

  =( -6)² +(- 9)²  + (11)²

  = 36 + 81 + 121

  = 238

r = √238.

Therefore the radius is √ 238.

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The answer is D

Step-by-step explanation:

The graph B is correct.

The pictorial representation of data is called the graph.

Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.

She spends at least 10 hours per week studying French.

We need to find the graph for this relation,

Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,

Therefore,

x + 1.5 y ≥ 10

Put the graph for the same.

Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.

We get the second graph is the correct graph.

Hence the graph B is correct.

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Answer: answer is C

Step-by-step explanation: