Answer: Answer: x≥ −1 /2
Step-by-step explanation:
Answer:
x ≥ -1/2 or x ∈ [-1/2, +∞)
Step-by-step explanation:
2(-4x + 8) ≤ 20
divide both sides by 2
-4x + 8 ≤ 10
move 8 to the right
-4x ≤ 10-8
-4x ≤ 2
divide both sides by -4. Flip the sign since a negative value is being divided
x ≥ - 1/2
Hypatia has read 20 chapters of a 22-chapter book. What percent of the chapters has she read?
Answer:
90%
Step-by-step explanation:
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Jose used a total of 2 5/6 gallons of gas while driving his car. Each hour he was driving, he used 3/10 gallons of gas. What was the total number of hours he was driving?
Answer:
19 hours
Step-by-step explanation:
2.83333/.3= 19.44
The ratio of 14C to 12C in living organisms is 1.3 × 10-12. The fossilized remains of an organism are discovered and the ratio of 14C to 12C in the fossil is measured to be 4.6 × 10-13. How long ago, in years was the organism alive? (The half life of 14C is 5,730 years.)
Answer:
t = 8588 years
Step-by-step explanation:
From the given information:
Using the formula:
[tex]k = \dfrac{In (2)}{t_{1/2}}[/tex]
Given that:
[tex]t_{1/2}[/tex] = 5730 years
Then:
[tex]k = \dfrac{In (2)}{5730}[/tex]
[tex]k = \dfrac{0.6931472}{5730}[/tex]
k = 1.20968 × 10⁻⁴
However; the expression to find the value of x is:
[tex]x= x_oe^{-kt}[/tex]
[tex]4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]0.353846= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
(-1.20968 × 10⁻⁴ × t) = In(0.353846)
(-1.20968 × 10⁻⁴ × t) = -1.03889
[tex]t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}[/tex]
t = 8588 years
Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4
slope of line y= -2x is -2
slope of line L= (-1)reciprocal of slope line y= -2x.
=( -1)(-1/2)
=1/2
since the L passes through (2,-4),
equation of line L: y-(-4)= 1/2(x-2)
2y+8 = x-2
x-2y-10=0
Hence equation of line L is x-2y-10=0
The equation perpendicular to y = -2x and passing through point (2,-4) is y = x/2 - 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The equation of a line with slope m is given by
y = mx + c
Now,
multiplication of slope of two perpendicular lines = -1
And,
Slope of line y = -2x ⇒ dy/dx = -2
So,
m × (-2) = -1 ⇒ m = 1/2
So,
y = (1/2)x + c
Now since it is passing by point (2,-4) so it should satisfy this
So,
-4 = 2/2 + c
c = -5
So,
y == x/2 - 5.
Hence "The equation perpendicular to y = -2x and passing through point (2,-4) is y = x/2 - 5".
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A six-sided die is rolled at the same time as a coin is flipped
a. Are the events independent or dependent?
b. What is the probability of rolling a 4, 5, or 6 AND getting “tails" ?
Answer:
A. Independent
B. 50%
Step-by-step explanation:
A recipe says to use 3 cups of flour to make 48 cookies. How many cups of flour do you need to make 32 cookies?
Generate and solve another division problem with the same quotient and remainder as the two problems below.explain your strategy for creating the new problem
Answer:
ITS AN ASSESMENT THIS VIOLATES THE HONOR CODE
Step-by-step explanation:
Answer:
153/47
Step-by-step explanation:
if you plug any number into x you get a valid soultion
(3x+12)/x
URGENT!!! PLEASE ANSWER ITS DUE SOON!
Drag the tiles to the correct boxes to the scenario it represents.
10 points cuz im running low
look at the pic
Answer:
3 6 4 2
Step-by-step explanation:
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A hardware store sells ladders that extend up to 12 feet. The store's advertising says:
Largest Inventory in the country! If you put all our ladders end to end, you could climb the top of the Empire State Building!
The company has 295 ladders in stocks. The Empire State Building is 1,453 feet tall.
Is it true that the ladders would reach the top of the building?
Explain how you solved the problem.
Answer:
It is true that the ladders would reach the top of the building.
Step-by-step explanation:
295 x 12 = 3540
3540 > 1453
what is 1/2 plus 1/3
Answer:
1/2 + 1/3 = 5/6
Step-by-step explanation:
1/2 + 1/3 = 5/6
Answer:
5/6
Step-by-step explanation:
multiply 1/2 by 2 and then multiply 1/3 by 2 to get 5/6
Decline of 11.3%
I have to identify it as a growth or decay and then write it in decimal form
Answer:
decay.
Step-by-step explanation:
decline means reduce, which is a negative term. decay is also negative.
decimal form= .113 or .11
Mr. Burns measured the heights of 16 apple trees in his orchard. The results are shown in the
dot plot. Which statement about the data is true?
Answer: The 3rd answer on your screen in correct :) imagine cheating
Step-by-step explanation:
Mr. Diaz has 92 peach trees in his orchard which he planted along with apple trees.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
here, we have,
Given, Mr. Diaz has 346 apple trees in his orchard.
Let, 'P' denotes the number of peach trees and 'A' denotes the number of apple trees.
So, A + P = 347.
Also given that he has 162 more apple trees than peach trees in his orchard which is, A = P + 162.
Therefore,
P + 162 + P = 346.
2P = 346 - 162.
2P = 184.
P = 92.
So, Mr. Diaz has 92 peach trees in his orchard.
Q. Mr. Diaz has 346 apple trees in his orchard. He has 162 more apple trees than peach trees in his orchard. How many peach trees does Mr. Diaz have in his orchard?
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What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9
Answer:
100, 90, 10, 1
Step-by-step explanation:
Candice and Peter are ordering pizza for upcoming parties from different pizza places.
Candice is trying to decide how many pizzas she wants to order from Pizza in the Skye. If she orders 2 pizzas, it will cost her $9.98.
If she orders 3 pizzas, it will cost her $14.97.
Peter created the table below to determine how much x pizzas will cost from Mike's Pizza.
Pizzas
4
5
6
Cost
$19.96
$24.95
$29.94
$34.93
$39.92
7
8
Who will pay the cheaper price per pizza?
A. Candice and Peter will pay the same price per pizza.
B. Candice will pay the cheaper price per pizza.
OC. Peter will pay the cheaper price per pizza.
Answer:a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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Answer: Wouldn't the answer be A?
Step-by-step explanation:
NEED HELP ASAP !!!!!!!!!!!!!!!!!
number one and four
Evaluate 62 – (9+ 2) when x = 3.
O A. 12
B. 33
C. 9
D. 27
Answer:
where is the x supposed to be?
Step-by-step explanation:
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium bottle?
Answer:
350 mL
Step-by-step explanation:
70% of 500 is 350
If you help on this question you will get brainlest and points !
Answer:
C. 6x+100<150
Step-by-step explanation:
Because yyour putting the two items together but they can't be more than 150
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
Answer:
x = 28.3
Step-by-step explanation:
tan 31° = 17 / x
x = 17 / tan 31° = 17 / 0.60086 = 28.3
Georgia had 18 cookies. She wanted to split these cookies up evenly among 3 friends and still have at least 1 cookie left over for her. Which of the following amounts of cookies could Georgia give to each of her friends? Select three that apply.
A
5
B
515
C
512
D
545
E
6
F
613
Laura typed 550 words during a 5-minute test in her keyboarding class. Which equation can be used to find t, the time required for Laura to type 2,000 words, typing at the same rate?
Answer:
Step-by-step explanation:
Susan's elevation at the top of a mountain is 1,530 meters. After 4 hours of climbing down her elevation is 680 meters. What is Susan’s average change in elevation, in meters per hour
A) -850
B)-382.50
C) -212.5
D) -167.5
Rate of a quantity is always in comparison to some other quantity's change. Susan’s average change in elevation, in meters per hour is given by: Option C) -212.5 meters/ hour.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
(its final value - initial value for both dependent and independent variable).
The average change in elevation in meters per hour is ratio of change in elevation in meters to time taken to do it in hours.
Therefore, it is calculated as:
[tex]A = \dfrac{ 680 - 1530}{4} = \dfrac{-850}{4} = -212.5 \: \rm meters/hour[/tex]
(if t was initial time, and t+4 was final time, then t+4-t = 4)
(also, initial height was 1530
Thus, Susan’s average change in elevation, in meters per hour is given by: Option C) -212.5 meters/ hour
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If x^2+y^2=1, what is the largest possible value of |x|+|y|?
If x² + y² = 1, then y = ±√(1 - x²).
Let f(x) = |x| + |±√(1 - x²)| = |x| + √(1 - x²).
If x < 0, we have |x| = -x ; otherwise, if x ≥ 0, then |x| = x.
• Case 1: suppose x < 0. Then
f(x) = -x + √(1 - x²)
f'(x) = -1 - x/√(1 - x²) = 0 → x = -1/√2 → y = ±1/√2
• Case 2: suppose x ≥ 0. Then
f(x) = x + √(1 - x²)
f'(x) = 1 - x/√(1 - x²) = 0 → x = 1/√2 → y = ±1/√2
In either case, |x| = |y| = 1/√2, so the maximum value of their sum is 2/√2 = √2.
An equation is formed of two equal expressions. The largest possible value of |x|+|y|=1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the value of x²+y²=1. Therefore, The largest possible value of |x|+|y|=1.
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read and solve each problem learning task 2 page 23 week 5 and learning task 3
eden bought 2 1/4 meter of cloth. She uses 3/4 of meter for her project.how many meters of cloth did she have left
Rina bought 51/4 meter of cloth. She uses 3 3/4 of meter for her project.how many meter of cloth dis she have left
Answer:
1 1/4
1 1/2
Step-by-step explanation:
Given that :
Length of cloth purchased = 2 1/4
Length used for project = 3/4
Length remaining = (length purchased - length used)
= 2 1/4 - 3/4
= (9/4 - 3/4)
= (9 - 4) / 4
= 5/4
= 1 1/4
Length of cloth purchased = 5 1/4
Length used for project = 3 3/4
Length remaining = (length purchased - length used)
= 5 1/4 - 3 3/4
= 21/4 - 15/4
= (21 - 15) / 4
= 6/4
= 1 2/4
= 1 1/2
HELP ASAP IM BEING TIMED!!!!!
What rational number represents -10,000?
5. Factor: x² - 4x-21
Answer:
(x - 7) (x + 3)
Step-by-step explanation:
Cassie earned $238 last week when she worked 28 hours. If her weekly earnings are directly proportional to her hours worked, how much will she earn if she works 39 hours next week?
Answer:Commission
An amount of money paid for selling a product or service
Commission Rate
A specified amount of money paid for each sale or a percent of the total value of sales
Step-by-step explanation:
Commission
An amount of money paid for selling a product or service
Commission Rate
A specified amount of money paid for each sale or a percent of the total value of sales
Translate the given statement into an algebraic inequality or compound inequality:
To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches.
a.
l + w + d greater-than 61
b.
l + w + d less-than 61
c.
l + w + d greater-than-or-equal-to 61
d.
l + w + d less-than-or-equal-to 61
Answer:
[tex]l + w + d \leq 61[/tex]
Step-by-step explanation:
Given
Sum of l, w and d be at most 61
Required
Write as inequality
First, we need to determine the sum of l, w and d
[tex]Sum = l + w + d[/tex]
Next, we determine the type of inequality.
At most 61 means less than or equal to 61
So, the expression becomes:
[tex]Sum \leq 61[/tex]
Substitute value for Sum
[tex]l + w + d \leq 61[/tex]
Answer:
D
Step-by-step explanation: Ede 2021
Which point is located at -3/2
Answer:
point B
Step-by-step explanation:
it turns in to -1 1/2
Answer:
b
Step-by-step explanation:
