Answer: 2n-3>=-20
Step-by-step explanation: instead of the equal sign put a line under the sign <
After translating the given statement, the inequality will be 2x - 3 ≥ -20.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values.
Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the information in the question,
The statement for the inequality in the question,
Twice, the difference between a number and 3 is at least -20.
Let the number be x.
Twice the number is 2x.
So,
2x - 3 ≥ -20
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1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta
Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Evaluate -R -Y for R=-2 and Y:-7
5
Step-by-step explanation:
-2 - (-7)
you have to do the opposite of the sign and switch the last number from negative to positive.
Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.
Answer:
40 did it on edge
Step-by-step explanation:
The unit rate of calories per ounce will be 40 calories/ ounce
What is proportion ?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :
4-ounce = 160
1- ounce = 160/4
=40
Therefore, the unit rate of calories per ounce = 40 calories/ ounce.
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2 Truths & One Lie
- 39 - b = - 3
1. The Variable is B in this Equation
2. b = -36
3. b = 36
Which one is a Lie?
Justify your decision.
WILL GIVE 20 POINTS!!
Answer:
b = 36 is the lie.
Step by step:
If we plug in b with it equaling -36 the equation will be
-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get
-39 + 36 = -3
In the end b = -3
So the other one must be wrong, but just incase we will plug it in.
-36 - 36 = 0
Plugging in 36 for b results in 0 which is not correct.
What is the simplified form of (4m2n−3)2⋅12n138m20?
The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶ so option (D) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
⇒ [(4m²n⁻³)² × 12n¹³]/(8m²⁰)
⇒ [(16m⁴n⁻⁶) × 12n¹³]/8m²⁰
⇒ 192m⁴n⁷/8m²⁰
⇒ 24n⁷/m¹⁶
Hence "The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶".
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If c – a = b, which of the following statements is true?
A. a + b = c
B. c + b = a
C. a – c = b
D. b – c = a
If c – a = b, then true statement is A. a + b = c
What is commutative property?The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
Now the given statement is,
c – a = b
adding a to both the the side
c – a + a = b + a
⇒ c = b + a
Using commutative property of addition we get,
a + b = b + a
Therefore, we get
⇒ c = a + b
Thus the true statement is A. a + b = c
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What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)
Answer:8,8
Step-by-step explanation:
Took the test on edge
Answer:
C. (8, 8)
Step-by-step explanation:
Edge 2022. ^
1. Simplify: (3x + 4y – 2z) - (-2z + 6y)
Answer: x - 2y + 2z
keep it in alphabetical order!
Step-by-step explanation:
the negative on the outside changes what is on the inside, so the new equation will be
3x + 4y - 2x + 2z - 6y
combine like terms
x - 2y + 2z
Answer: 3x +10y
Step-by-step explanation:
first you put all the common integers (i think that is what they are called) together
3x+4y+6y-2z-(-2z)
Then you add and subtract all the integers
4y+6y=10y
-2z-(-2z)=0
so the answer is
3x+ 10y
Hopefully this is the right answer
God bless you!!
What is the answer when you Simplify 6(x + 4).
Answer:
6x + 24
Step-by-step explanation:
Distributive property: a (b + c) = ab + ac.
6 (x + 4) = 6x + 6(4) = 6x + 24.
The area of a square poster 26 inch. 2. Find the length of one side of the poster to the nearest tenth of an inch.
Answer:
6.5 inches
Step-by-step explanation:
Divide 26 by 4
26/4=6.5
The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
Given; The area of a square poster 26 inch
We need to find the length of one side of the poster to the nearest tenth of an inch.
The area of a square would be S^2
26 = S^2
s = sqrt(26) = 5.099
Then rounded to nearest tenth = 5.1 inches
Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
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3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions
Answer:
Step-by-step explanation:
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
10 = 10
infinitely many solutions
Which are valid rearrangements of F=95C+32? Select the two correct answers. response - incorrect 95C−F=32 F+95C+32=0 C=59(F−32) C=95(F−32) F−32=95C
Answer:
F+95C+32=0 & F−32=95C
Step-by-step explanation:
f=95c+32
Answer:
1st and the last one
Step-by-step explanation:
The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and solve an equation to find the original value of the baseball card
Answer:
50v
Step-by-step explanation:
The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.
Is 99 squared over 3 rational or irrational
Name the property that is being demonstrated
8-2=-2+8
Commutative Property
Associative Property
Zero Product Property
Multiplication Property of -1
Deductive Reasoning Property
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say: when we add we can swap numbers over and still get the same answer.
8 - 2 = (8) + (-2) = (-2) + (8) = -2 + 8
13% of $67.99 please help me please
Answer:
8.8387 (round to 8.84)
Step-by-step explanation:
To find the percentage of something, convert the percent into decimal form by moving the decimal two places to the left. In this case, the decimal form of 13% is 0.13
Then, multiply this decimal by the number you need to find the percentage of. In this case, that number is 67.99
The result of .13x67.99 is 8.8387.
Answer:
$8.84
Step-by-step explanation:
1.) Start with the 13%
2.) You have 13.
3.) Move the decimal point 2 places to the left.
4.) Now you have 0.13
5.) Multiply 0.13 and 67.99
6.) This equals $8.84
What is the area of a rectangle
with a length of 5 cm and a width of
4 cm
Answer:
Area = 20 cm²
Step-by-step explanation:
Area = width * length
area = 5cm * 4cm
area = 20 cm²
Answer:
20 cm
5x4 =20
length times width
Can someone please do these questions or try to find the answers to them
Answer:if you look up the name of your work sheet into google and type in answer key after it will show up w the answer key
Step-by-step explanation:
What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14
Answer:
See attachment for the figures drawn for each question.
10. x = 3; AB = 11
11. x = 2; AB = 6
Step-by-step explanation:
10. AC = 10x + 2
AB = 2x + 5
BC = 4x + 9
AB + BC = AC (segment addition postulate)
(2x + 5) + (4x + 9) = 10x + 2 (substitution)
The equation above is what we would use to solve the problem as follows:
2x + 5 + 4x + 9 = 10x + 2
Combine like terms
6x + 14 = 10x + 2
6x - 10x = -14 + 2
-4x = -12
Divide both sides by -4
x = 3
AB = 2x + 5
Plug in the value of x
AB = 2(3) + 5 = 6 + 5
AB = 11
11. AB = 3x
BC = x - 6
AC = 8x - 14
AB + BC = AC (segment addition theorem)
3x + (x - 6) = 8x - 14 (substitution)
Use the equation to solve for x as follows:
3x + x - 6 = 8x - 14
Collect like terms
4x - 6 = 8x - 14
4x - 8x = 6 - 14
-4x = -8
x = 2 (dividing both sides by -4)
AB = 3x
AB = 3(2)
AB = 6
What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
solve the equation 2w=58
Answer:
29
Step-by-step explanation:
all you do is divide.
Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
pls help, this is timed
Answer:
x/2 + 7 = 13 is the answer
Answer: C
Step-by-step explanation: He sold half of his comic, meaning dividing whatever he had by 2. Buying 7 more and it will equal 13.
Solve for x: 4.23x + 1 = 17.8929 A. 0 B. 14.6629 C. 5.23 D. 6.23 PLEASE HELP!!!
Answer:
d
Step-by-step explanation:
Work out the height of a triangle with base,
base = 6.3mm and area,
Area = 35.595mm squared.
Step-by-step explanation:
formula used is height= area×3/base
35.595×2/6.3
71.19/6.3
11.3mm2 is the answer
Answer:
[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \sf Given} : [/tex]
[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]
[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]
[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]
[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]
[tex]\sf{Plug \: the \: values}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]
[tex] \sf{Apply \: cross \: product \: property}[/tex]
[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]
[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]
[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]
[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]
[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]
The height of a triangle = 11.3 mm
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
How do you solve this kind of equation? 9(x+2) > 9(x-3)
Step-by-step explanation:
okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.
Answer:
0>-45
True for all x
Step-by-step explanation:
[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]
Can someone please work this out step by step for me
I assume we're solving for n.
3n/7 - 1 = 1/8.
First, add 1 to both sides.
3n/7 = 9/8
Now, let's multiply both sides by 7
3n = 63/8
Divide both sides by 3
n = 21/8
The temperature falls 15º and then rises 18°
Answer:
3 degrees
Step-by-step explanation:
Answer:
3 more then the original number
Step-by-step explanation: