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Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

[tex]Sets:\{0,1,3,4,6,12\}[/tex]

Gary: [tex]6>0.5t[/tex]

Nancy: [tex]30 -t \le 18[/tex]

Jamal: [tex]12 \le t+12[/tex]

Required

Which of the inequalities is/are true

Gary: [tex]6>0.5t[/tex]

[tex]6>0.5t[/tex]

Divide both sides by 0.5

[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]

[tex]12 > t[/tex]

Rewrite as:

[tex]t < 12[/tex]

Gary's inequality is false because: [tex]12 = 12[/tex]

Nancy: [tex]30 -t \le 18[/tex]

[tex]30 -t \le 18[/tex]

Collect like terms

[tex]-t \le 18 - 30[/tex]

[tex]-t \le -12[/tex]

Divide both sides by -1

[tex]t \ge 12[/tex]

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: [tex]12 \le t+12[/tex]

[tex]12 \le t+12[/tex]

[tex]12 - 12 \le t[/tex]

[tex]0 \le t[/tex]

Rewrite as:

[tex]t \ge 0[/tex]

Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]

Answer:

24/3 =8 with each friend

Step-by-step explanation:

Answer:

you give each one 12 and than eat them

Step-by-step explanation:

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

Answer:

89

Step-by-step explanation:

Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:

tan(40)=x/100

x=100tan(40)=83.9

Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89

Final Answer: 89

The altitude of the hiker sitting on the bench of the hill is 89 feet.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The angle of elevation = 40°

Distance from base of the hill = 100 feet

Distance from the ground to the eye level = 5 feet

The diagram below shows the right angled triangle.

Let the altitude from the eye sight to the bench be x.

Total altitude = x + 5

The altitude of the hiker can be found by using trigonometric ratio,

[tex]tan\theta= \frac{opposite}{adjacent}[/tex]

⇒ [tex]tan 40=\frac{x}{100}[/tex]

⇒ [tex]0.8390=\frac{x}{100}[/tex]

⇒ [tex]x=83.90[/tex]

Total height = [tex]x+5[/tex]

⇒ [tex]83.90+5[/tex]

⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]

Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.

Learn more about trigonometry here

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Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Step-by-step explanation:

27 cubes are needed because you could need a 3×3 ×3 cube

Answer:

1-P(z<1.4)

Step-by-step explanation:

Trust me the answer is 1-P(z<1.4).

BTW the thing between 1 and P is a minus sign

Answer:

B. 1-P(z<1.4)

8%

B. 26%

Step-by-step explanation:

Answers:

0.68 times 0.921 (less)

29.77 times 5.021 (greater)

0.5 times 0.078 (less)

870 times 1.008 (greater)

0.4 times 1.49 (greater)

Answer:

yyyyyyyy

Step-by-step explanation:

thx tx htx

Answer:

3, 7.5, 12, 16.5  

Step-by-step explanation:

Tn = a + (n-1)d

a = 3 and d = 1.5×3 = 4.5

T2 = a + d = 3 + 4.5 = 7.5

T3 = a + 2d = 3 + 2(4.5) = 12

T4 = a + 3d = 3 + 3(4.5) = 16.5

Hope its correct and have a great day :)

Answer:

-55 5/10000

Step-by-step explanation:

We can break each word down. Negative would be the negative sign (-), fifty-five would be 55, and five ten-thousandths would be 5/10000. If we put them together, we would get -55 5/10000, which is the answer.

Answer:

16x⁶y⁸|y³z|.........

Answer:

B

Step-by-step explanation:

EDGE

Answer:

The answer is C) 160 in2

Step-by-step explanation

Easy!

5x5=25

8x5=40x4=160

The surface area of the square pyramid is, A. 80 in².

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

The given figure is a pyramid having a square base.

The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.

Therefore, the surface area of the pyramid is,

= 4[(1/2)×5×8] square inches.

= 80 in².

learn more about pyramids here :

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Answer:

18+45x

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

5 x 4 = 20

20 x 2 = 40

40 x 2 = 80

80 ÷ 2 = 40

40 - 4 = 36

Answer:

(7x+5)(7x-5)

Step-by-step explanation:

We can use the difference of squares equation which states that when a number is multiplied like: (ax+b)(ax-b) then it equals (ax-b). In this equation, since there is no "b" in the typical ax^2+bx+c, we can recognize that the answer is not a square, but a difference of squares.

Answer:

Step-by-step explanation:

cos = adjacent / hypotenuse

Correct choice is B

Answer:10*25=250

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

A:-3<x<13

B:-3=<x=<13

C:-3=<x<13

D:-3<x=<13

Step-by-step explanation:

Ok, first lets do A

-3 and -13 and the endpoints and the dots are hollow so its not including

therefore the answer is -3<x<13

next, B

same endpoint this time but both dots are filled in so they are included

therefore: -3=<x=<13

(I'm typing on a keyboard!!! i can't do the fancy symbols lol)

C

same endpoints again but -3 is black and 13 is not

so: -3=<x<13

D

I think you have got the hang of it now probaly

-3 is not filled and 13 is

answer is -3<x=<13

Hope this helps :)

Answer:

Hike 1 : 768, -96, 672

Hike 2: -62, 82, 20

Hike 3: 62, -100, -38

Hike 4: 354, -225, 129

Hike 5: -20, -40, -60

The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.

Negative numbers in the present circumstance mean under 0. (Underneath surface region)

the answer is 6 because 42 divided by 7 = 6

Answer:

The correct answer is 32x - 4

Step-by-step explanation:

1) Simplify 6 + 2 to 8.

[tex]2x(8 + 8) - 4[/tex]

2) Simplify 8 + 8 to 16.

[tex]2x \times 16 - 4[/tex]

3) Simplify 2x × 16 to 32x.

[tex]32x - 4[/tex]

Therefor, the answer is 32x - 4.

Answer: 20

Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive

Answer:

0.00000002

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

2 * 10¹⁴ * x = 4 * 10⁶

To find the value of x;

x = 4 * 10⁶/2 * 10¹⁴

x = 2 * 10^{-8}

Therefore, the value of 2 x 10¹⁴ is 0.00000002 times the value of 4 x 10⁶

Answer:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.

Answer:

$32.09

Step-by-step explanation:

It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!

Answer:

The answer will be 9 and the frequency will be 18