For which of the following compound inequalities is there no solution? ​

For Which Of The Following Compound Inequalities Is There No Solution?

Answers

Answer 1

Answer:

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

Step-by-step explanation:

Required

Which of a to d has no solution

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

We have: [tex]m + 24 > 20[/tex]

Sole for m

[tex]m >20 - 24[/tex]

[tex]m >-4[/tex]

[tex]6m \le - 36[/tex]

Divide by 6

[tex]m \le -6[/tex]

So, we have:

[tex]m \le -6[/tex] and [tex]m >-4[/tex]

[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....

[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....

Hence, there is no solution


Related Questions

The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?

Answers

Each cheeseburger cost $5.

To find this answer you divide. 75 divided by 15 equals 5.

Hope this helps!!

Answer:

O.5 cents each

Step-by-step explanation

You have to multiply 75 by 0.15

The table describes the types of job openings available in a company.
What is the probability that experience is needed for a randomly selected job
opening, given that it is for part-time work?
Write the probability as a percent. Round to the nearest tenth if needed.
Part-time
Full-tme
6
2
Experience needed
No experience needed
8
9

Answers

Answer:

stop being lazy and do youre own work lol

Step-by-step explanation:

please help. no links. need answers for all questions :))

Answers

Answer:

1. The surface area of the cube is 324 square units

The volume of the cube 360 unit cube

2. The surface area of the cylinder is approximately 169.65 square units

The volume of the cylinder is approximately 169.65 unit cube

3. The surface area of a square pyramid is 360 square units

The volume of the square pyramid is 400 unit cube

4. The surface area of a cone is approximately 452.39 square units

The volume of the cone is approximately 50.27 unit cube

5. The surface area of the triangular prism is 240 square units

The volume of the triangular prism is 180 unit cube

6. The surface area of the sphere is approximately 804.25 square units

The volume of the sphere is approximately 2.144.66

7. The surface area of the composite figure is approximately 653.46 square units

The volume of the composite figure is approximately 1,474.45 unit cube

Step-by-step explanation:

1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)

Where;

w = The width of the figure = 6

l = The length of the figure = 12

h = The height of the figure = 5

We get;

SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324

The surface area of the figure, SA = 324

The volume of the figure, V = l × w × h

∴ V = 12 × 6 × 5 = 360

The volume of the figure, V = 360

2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h

The radius of the given cylinder, r = 3

The height of the given cylinder, h = 6

∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65

The surface area of the cylinder, SA ≈ 169.65

The volume of a cylinder, V = π·r²·h

∴ V = π×3²×6 ≈ 169.65

The volume of the cylinder, V ≈ 169.65

3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)

Therefore, for the given square pyramid, we have;

SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360

The surface area of a square pyramid, SA = 360

The volume of a square pyramid, V = (1/3) × Area of Base × Height

Therefore, or the given pyramid we have;

V = (1/3) × 10² × 12 = 400

The volume of the square pyramid, V = 400

4. The surface area of a cone, SA = π·r·(r + l)

Where;

The radius of the cone = r

The slant height of the cone, l = 10

The height of the cone, h = 6

∴ The radius of the cone, r = √(10² - 6²) = 8

∴ SA = π×8×(8 + 10) ≈ 452.39

The surface area of a cone, SA ≈ 452.39

The volume of the cone, V = (1/3) × π·r·h

∴ V = (1/3) × π × 8 × 6 ≈ 50.27

The volume of the cone, V ≈ 50.27

5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l

Where;

b = The base length of the triangular surfaces = 5

h = The height of the triangular surfaces = 12

w = The width of the triangular prism = 6

l = The slant length of the prism = 13

Therefore;

SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240

The surface area of the triangular prism, SA = 240

The volume of a triangular prism, V = (1/2)·b·h·w

V = (1/2) × 5 × 12 × 6 = 180

The volume of the triangular prism, V = 180

6. The surface of a sphere, SA = 4·π·r²

Where;

r = The radius of the sphere = 8

∴ SA = 4 × π × 8² ≈ 804.25

The surface area of the sphere, SA ≈ 804.25

The volume of a sphere, V = (4/3)·π·r³

∴ V ≈ (4/3)×π×8³ ≈ 2,144.66

The volume of the given sphere, V ≈ 2.144.66

7. The figure is a composite figure made up of a cone and an hemispher

The surface area of the cone shaped part of the figure, SA = π·r·l

Where;

r = The radius of the cone = 8

l = The slant height of the cone = 10

∴ SA₁ = π × 8 × 10 ≈ 251.34

The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34

The volume of the cone, V₁ = (1/3)·π·r²·h

Where;

h = The height of the cone = √(10² - 8²) = 6

∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12

The volume of the cone, V₁ ≈ 402.12

The surface area of the hemisphere, SA₂ = 2·π·r²

∴ SA₂ = 2 × π × 8² ≈ 402.12

The surface area of the hemisphere, SA₂ ≈ 402.12

The volume of a hemisphere, V₂ = (2/3)·π·r³

∴ V₂ = (2/3) × π × 8³ ≈ 1072.33

The volume of a hemisphere, V₂ ≈ 1,072.33

The surface area of the composite figure, SA = SA₁ + SA₂

∴ SA = 251.34 + 402.12 = 653.46

The surface area of the composite figure, SA ≈ 653.46

The volume of the composite figure, V = V₁ + V₂

∴ V = 402.12 + 1,072.33 = 1,474.45

The volume of the composite figure, V ≈ 1,474.45.

Pls help! I need to show my work!

Answers

Answer:

Step-by-step explanation:

68 frefq4gtrhrsahhrhshrr

4. Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?​

Answers

Answer:

361,899

hope this helps

Answer:

350,000

Step-by-step explanation:

1,500,000 - 1,138, 101 = 361,899

361,899 - 350,000 = 11,899

400,000 - 361,899 = 38,101

11,899 is less than 38,101

So, 350,000 is the answer.

Five friends take a maths test

Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

Answers

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.


[tex] \sf \red{Help \: help \: help \: help \: I'm \: desperate - . - }[/tex]

Answers

Step-by-step explanation:

1)

7x+20°+3x=180°{straight angle}

10x=180-20

x=160/10

x=16°

again,

y=7x+20{vertically opposed angle r equal}

7×16+20132°

stay safe healthy and happy.

Answer:

1. x = 20

y = 120

2. x = 263

Step-by-step explanation:

•••

As AOB is a line,

( 7x - 20 ) + 3x = 180

7x - 20 + 3x = 180

10x - 20 = 180

10x = 180 + 20 = 200

10x = 200

x = 200/10 = 20

Then, as COD is a line,

y + 3x = 180

y + 3(20) = 180

y + 60 = 180

y = 180 - 60 = 120

•••

2. Draw a parallel line AB and CD.

Then,

Angle BAE + Angle y = 180 [Co-interior angles]

56 + y = 180

y = 180 - 56 = 124

Angle DCE + Angle z = 180

41 + z = 180

z = 180 - 41

z = 139

Now, z + y = 139 + 124 = 263

[tex][/tex]

Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)​

Answers

Answer: b is correct

Step-by-step explanation: i did this

The area of rectangle ABCD is 34 square unit.

What is Distance Formula?

In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are

PQ = √(c- a)² + (d- b)²

We have Coordinates of rectangle

A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)

Using Distance Formula

AB = √ (3-4)² + (3+1)²

AB = √1 + 16

AB = √17 unit

Now, CB = √(-5-3)² + (1-3)²

CB= √ 64 + 4

CB = √68

CB = 2√17 unit

So, the area of Rectangle ABCD is

= l w

= √17 x 2√17

= 2 x 17

= 34 square unit

Learn more about Distance Formula here:

https://brainly.com/question/25841655

#SPJ7

what is the y intercept of 2(x-2)^2+3

Answers

Answer:

y intercept is 11 or (0,11)

Step-by-step explanation:

[tex]y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11[/tex]

Plz help me well mark brainliest if correct....???.

Answers

Answer:

C.18

Step-by-step explanation:

In the chart it shows that 18 boys like to read science fiction. Hope this helps :)

The answer would be 18. Why? Because in the table I’d had a chart if boys and girls and the science fiction section had 18. Hope this helps!

How do you solve this problem ?

Answers

Answer: 2y124√y12

How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Have a great day and stay safe !

9514 1404 393

Answer:

  [tex]2\cdot y^{\frac{5}{8}}[/tex]

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

__

So, the given expression can be rewritten to ...

  [tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]

_____

k = 2; n = 5/8

properties of parallelograms
PLEASE HELP

Answers

Answer:

m∠Q = 109°

m∠QRT = 109°

x = 4

Step-by-step explanation:

1). "Opposite angles of a parallelogram are equal"

By this property,

m∠Q = m∠S = 109°

2). "Opposite sides of a parallelogram are parallel and equal in measure"

By this property,

RQ║ST and diagonal RT is a transversal line.

m∠QRT = ∠SRT = 30° [Alternate interior angles]

3). "Opposite sides of a parallelogram are parallel and equal in measure"

RS = QT

2x = 8

x = 4

Rachel has just completed a study of precipitation in three different locations over the course of a year. The data she wishes to present in graph form is shown in the table below, with precipitation listed in inches. Boston Phoenix Minneapolis January 3.27 0.45 1.04 February 3.44 0.48 .76 March 3.10 0.71 1.12 April 3.89 0.31 2.10 May 3.75 0.17 3.15 June 3.12 0.09 5.11 July 2.98 0.11 5.78 August 3.07 0.33 4.65 September 3.15 0.52 3.61 October 3.55 0.40 3.22 November 3.42 0.42 2.34 December 3.44 0.29 1.84 Rachel wants her graph to emphasize the relation of each city’s precipitation to each other city’s at each point in time. What kind of graph would be appropriate? a. bar graph b. line graph c. pictograph d. histogram

Answers

Answer:

option 2 line graph

Step-by-step explanation:

100% on EDGE

Answer:

b

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a right triangle?
O 8, 9, 10
O 15, 18, 21
O 7, 24, 25
09. 11. 14

Answers

Answer:

7 24 25

because , according to Pythagorean triplet....

if sides of a triangle have lengths 8 ft and 12 ft.

Answers

Answer:

[tex]20 > c > 4[/tex]

Step-by-step explanation:

Given

[tex]Sides =8\ and\ 12[/tex]

Required

The third side

To do this, we make use of the triangle inequality theorem which implies that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Where

[tex]a,b,c\to sides[/tex]

So, we have:

[tex]8 + 12 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]12 + c > 8[/tex]

Solve all inequalities

[tex]8 + 12 > c[/tex]

[tex]20 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]c > 4[/tex]

[tex]12 + c > 8[/tex]

[tex]c > -4[/tex]

Ignore negative inequalities.

So, we have:

[tex]20 > c[/tex] and [tex]c > 4[/tex]

Combine

[tex]20 > c > 4[/tex]

The above implies that the third length is between 5 and 19 (inclusive)

Please help!
If the angles of a triangle are represented by 3x + 9, 4x-3, and 8x -6, then the triangle is: 1) acute, right, or obtuse (choose one) 2) Equalateral, scalene, or isosceles (choose one) ​

Answers

Step-by-step explanation:

3x+9+4x-3+8x-6=180

15x=180

x=12

angle 1= 3x+9=36+9=45°

angle 2=4x-3=48-3=45°

angle 3=8x-6=96-6=90°

1) it's right triangle

2) it's isosceles triangle

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

The second one is the answer good luck

“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”

Answers

Answer:

36 and 72

Step-by-step explanation:

Find the midpoint M of CD

C = (-2,-10) D = (-6,0)
M = ([?],[ ]

Answers

Answer:

[tex] M = (-4, -5) [/tex]

Step-by-step explanation:

Given:

C = (-2, -10) and D = (-6, 0)

Required:

Midpoint M of segment CD.

Solution:

[tex] M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Where,

[tex] (-2, -10) = (x_1, y_1) [/tex]

[tex] (-6, 0) = (x_2, y_2) [/tex]

Plug in the values into the equation

[tex] M = (\frac{-2 + (-6)}{2}, \frac{-10 + 0}{2}) [/tex]

[tex] M = (\frac{-8}{2}, \frac{-10}{2}) [/tex]

[tex] M = (-4, -5) [/tex]

Help!!!!!!!!! Help help help help

Answers

150 man I think :) :):):):):)

In
any
School there are 7000
students 45%. are boys. How many
boys are there? How
many girls
are there​

Answers

Answer: there are 3150 boys and 3850 girl

Step-by-step explanation:

45÷100×7000= 3150 and 7000- 3150 = 3850

Hope this helps!!

help I don't know the answer​

Answers

answer:
p = 6,000

step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p

The Sine Function

A sine curve is periodic. What does this mean?

a. the curve goes through one cycle and starts over
b. there is no pattern
c. the amplitude stays the same
d. one period equals 180 degrees

Please select the best answer from choices provided

Answers

Answer:

A. The curve goes through one cycle and starts over

Step-by-step explanation:

I calculated it logically

Which of the following pairs of triangles can be proven congruent through SSS?
A)
B)
C)
D)

Answers

It would be b because that is the pair of triangles that can be proven congruent through sss

When
3(x)
= 4 is solved for x in terms of w and kits solution is which of the following?

Answers

How was your day todayAnd tomorrow and Thursday and Friday Saturday Sunday Monday Tuesday Wednesday

Can someone please help me with this question please (sorry for bad photo quality)

Answers

Answer:

a) (-1/2,3/2)

Step-by-step explanation:

-3x = x + 2

4x + 2 = 0

4x = -2

x = -1/2

y = -3(-1/2) = 3/2

Can I get help with this question

Answers

it’s (-2, -4) i believe

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

What is the volume of a sphere with a diameter of 32,5 m, rounded to the
nearest tenth of a cubic meter?

Answers

Answer:

V≈17974.16

Step-by-step explanation:

Using the formulas

V=4

3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·32.53≈17974.16422

PLEASE HELP MEEEEEE!!!

Answers

Answer:

100

Step-by-step explanation:

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