When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

Step-by-step explanation:

its about 263.08!

====================================================

Explanation:

We'll use this formula

S = (x/360)*A

where,

We'll plug in S = 85.5 and x = 117 to find solve for A.

S = (x/360)*A

85.5 = (117/360)*A

85.5*(360/117) = A

A = 85.5*(360/117)

A = 263.076923076923 which is approximate

A = 263.08 square meters (choice C)

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Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

Answer:

4  Hope that helped

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

There are 9 chips numbered 1 to 9 placed in a box

Margie selected one chip from the box

If the chip is multiple of 3 then the chip can be 3, 6, or 9

So, the probability associated with this is

[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Answer:

The answer to the problem is 15.

Answer:

4³=4*4*4 is a required expanded form.

Answer:

3075

Step-by-step explanation:

There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075

Answer:

3,075

Step-by-step explanation:

3 thousands = 3,000

0 hundreds = 0

7 tens = 70

5 ones = 5

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)

Answer: The correct option is (D) 4.

Step-by-step explanation:

According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.

Given:

DE = 2

CE = 6

BE = 3

Now calculating the the value of EA.

As per theorem:

[tex]DE\times CE=BE\times EA[/tex]

Now putting the all the given values in this expression, we get:

[tex]2\times 6=3\times EA\\\\EA=4[/tex]

Therefore, the measure of EA is 4.

Answer:

D. 3.7 × 10⁶

Step-by-step explanation:

3.7 × 10⁶

3700000

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = [tex]131^{o}[/tex]

So that;

[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]

   = 2500 + 3600 -6000 x -0.6561

   =  6100 + 3936.6

[tex]c^{2}[/tex] = 10036.6

c = [tex]\sqrt{10036.6}[/tex]

  = 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Answer:

74,310

Hope this helped! ^^

Answer:

[tex] = 74,310[/tex]

step by step explanation:

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

6^4*612/6^7

6^4*6^12-7

6^4*6^5

6^4+5

6^9

Answer:

59.50

Step-by-step explanation:

Answer:

Pie charts

Step-by-step explanation:

A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer:

the angle shown is a straight angle value of which is equal to 180°

3x + 30. 6 = 180

3x = 180 - 30. 6

3x = 149.4

Answer:

179.996

Step-by-step explanation: