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MULTIPLE CHOICE QUESTION
Solving Inequalities
Equations vs. Inequalities
2x+3 =15 2x+3 > 15
What is the first step for the equation?
(It'll also be the same step for the inequality)
Subtract 2 on both sides
divide both sides by 2
Subtract 3 on both sides
add 3 to both sides

Answer: no one cares

Step-by-step explanation:

Answer:

hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

The volume of the solid is 250r³ when  the base of s is a circular disk with radius 5r.

Given that,

We have to discover the described solid's volume, v. The parallel cross-sections perpendicular to the base of s are squares, and the base of s is a circular disk with radius 5r.

We know that,

A cylinder is a solid with square cross sections parallel to the bases and circular bases. Its height is equal to the base circle's diameter.

The radius = 5r,

So the height = diameter = 10r

Volume of the cone is base × height= πr²×h

=π(5r)²×(10r)

=250πr³

Therefore, The volume of the solid is 250r³ when  the base of s is a circular disk with radius 5r.

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Answer:

Step-by-step explanation:

(2 + 2)/(1 + 2)= 4/3

Answer:

7

Step-by-step explanation:

47 + 70 + 9p = 180

117 + 9p = 180

Subtract 117 from both sides

9p = 63

Divide both sides by 9

p = 7

Step-by-step explanation:

47+70+9p=180

=117+9p=180

180-117=9p

63=9p

7=p

(a) The value of #C(5) = 13.

(b) In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. So a brute-force approach used to compute #C(5).

(c) Using the Theorem of Induction, we proved that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2.

Let #C(l) denote the number of binary strings with length l that have no consecutive occurrences of a 1.

For example #C(3) 5; we can list all binary strings of length 3 and determine by inspection that only the strings 000, 001, 010, 100, and 101 have no consecutive occurrences of a 1.

(a) We have to compute #C(5).

All binary strings with length five include:

00000, 00001, 00010, 00100, 00101, 01000, 01001, 01010, 10000, 10001, 10010, 10100, 10101

Strings that don't have successive 1s in them.

So #C(5) = Total number of binary strings with length five

#C(5) = 13

(b) We have to describe why a brute-force approach used to compute #C(5).

In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. The complexity is at least exponential, thus even for modest values of n (like 40 or 50), it will take a long time to process the number of binary strings of length n = 2n.

(c) We have to show that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2 and derive a recursive algorithm to compute #C(C).

No empty string contains two consecutive ones.

So #C(0) = 1,

#C(1) = 2 ( 0 and 1)

Base Case : For l = 2,

#C(2) = |{00, 10, 11}|

#C(2) = 3

#C(2) = #C(1) + #C(0)

Consequently, the recurrence is true, for l = 2.

Number of strings with the character 0 = 2 = #C (1)

Theorem of Induction

Assume that the recurrence holds for every l < k and the quantity of strings with 0 = #C(l-1)

Induction Step :

For l = k+1,

#C(k+1): Only those strings of length k that do not include consecutive 1s will be the first string in such strings. These strings will never result in consecutive 1s when a 0 is added.

Thus, the number of strings that end in 0 = #C(k)

Only strings of length k that finish in 0 can be added to.

The number of such strings, by induction = #C(k-1)

Hence, #C(k+1) = #C(k) + #C(k-1)

Recursive Algorithm:

NoCon1(n)

{

1. if n < 0 : return 0

2. if n == 0 : return 1

3. if n==1 : return 2

4. return NoCon1(n-1) + NoCon1(n-2);

}

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Answer:

the answer is 360 degrees

Step-by-step explanation:

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The solution to the given inequality, -2x - 8 > 3x + 12, is x < -4. The correct option is a x < -4

From the question, we ae to solve the given inequality

To solve the given inequality -2x - 8 > 3x + 12

We need to isolate x on one side of the inequality.

First, we can simplify the inequality by combining like terms:

-2x - 8 > 3x + 12

-2x - 3x > 12 + 8

Simplify

-5x > 20

Next, we can isolate x by dividing both sides of the inequality by -5. Since we are dividing by a negative number, we need to reverse the direction of the inequality:

x < -4

Therefore, the solution is x < -4.

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Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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The distance between the coordinates R and S is 4 units and the distance between T and U is √26 units.

The distance formula is a formula used to find the distance between two points in a two- or three-dimensional space. The formula is:

\(d = \sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)

Where d is the distance between the two points (x1,y1) and (2, 2),

Using the distance formula, we can find the distance between any two points in a two-dimensional space.

For example, to find the distance between points R(-1.0) and S(3.0), we can use the distance formula:

\(d= \sqrt{(3-(-1))^2+(0-0)^2)} = \sqrt{(16+0)}\\= \sqrt{(16)}\\=4\)

Therefore, the distance between R(-1,0) and S(3,0) is 4 units. Similarly, we can find the distances between any other pair of points using the distance formula.

Distance between T and U is -

T(2, -3), U(-3, -2)

\(=\sqrt{(-3-2)^2 + (-2 - (-3))^2} \\=\sqrt{25 + 1}\\= \sqrt{26}\\\)

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Find the distance between following points -

R(-1,0), S(3, 0)

T(2, -3), U(-3, -2);

Answer:

2 lip glosses

explanation

4x8= 32

50-32=18

2 lipglosses would be $20

32+20=52

52>50 meaning she qualifies for free shipping

4 eye shadows -- 8 x 4 = $32

lip glosses $10 -- 32 + 10 + 10 = $52

to qualify for free shipping, wendy needs to buy 2 lip glosses.

Answer:

what is the question

Step-by-step explanation:

you will not have enough money to pay your car bill though

a. The level of measurement for each variable are Race: Nominal, trauma: Ratio, Social Class: Ordinal.

b. Raw frequency tables for race:

Race Frequency

W          21

N        9

c. The proportion of the 30 individuals who are nonwhite is: 9/30 = 0.3

So, 30% of the individuals are nonwhite.

The percentage of individuals who are white is: 21/30 x 100% = 70%

So, 70% of the individuals are white.

Race is a nominal variable because it is a categorical variable that does not have any inherent order or ranking. The two categories are "W" for white and "N" for nonwhite.

Trauma is a ratio variable because it is a quantitative variable that has a meaningful zero point. This means that a value of zero indicates the absence of the thing being measured, and values greater than zero indicate a greater quantity of the thing being measured.

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Answer:

\(k = -4-\sqrt{7} \\or\\k = -4+\sqrt{7}\)

Step-by-step explanation:

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer: 14

Step-by-step explanation:

300 minus 80 = 220

220 is the budget for the shirts so we divide 220 by 15 to get 14

Hope this helps!

Answer:14 shirts

Step-by-step explanation:300- 80 = 220

220/ 15 = 14.6  round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts

Answer:

1.

Step-by-step explanation:

.What is the capital of canada.

Step-by-step explanation:

Find the slope? or what....

Answer:

10.7

Step-by-step explanation:

17.445 - 6.76= 10.685

10.685 is 10.7 when rounded to the nearest tenth!

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

Step-by-step explanation:

to find x;

-4x - 2 -1 =8

-4x + 3 = 8

+4  + 3 = +4

x + 3 = 12

   -3 + -3

    x  =  10

to find y;

y = x2 - 3

y = (10)2 - 3

y = 20 - 3

y = 17

∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other

thank you

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?