Compare -8 and 3. Which statement is not true?A. |-8| > |3|B. -8 is farther from 0 on a number line.C. The absolute value of 3 is greater than the absolute value of -8.D. 3 is farther to the right on a number line.
Answers
Recall that:
\(|a|=\begin{cases}\text{a if a}\ge0, \\ -\text{a if a<0.}\end{cases}\)Then:
\(\begin{gathered} |3|=3, \\ |-8|=-(-8)=8. \end{gathered}\)Therefore:
\(|-8|>|3|\text{.}\)Answer: Option C.
Related Questions
26) Solve: $500 is deposited in a savings account. If the interest rate is 10% compounded continuously, after
how many years will the investment be worth $3000?
(Use A = Pe^rt)
Answers
Answer:
1. A/P=3000/500=6
2. e^i pi+1=0
1. Identify the domain of the graphed function
Answers
Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.
Answers
The equation that relates the height of the kite to the speed of the wind is: h = 5w.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.
Using the three data points we have, we can calculate the slope of the line as follows:
m = (y2 - y1) / (x2 - x1)
= (75 - 50) / (15 - 10)
= 25/5
= 5
Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.
For example, using the point (10, 50):
50 = 5(10) + b
b = 0
So the equation that relates the height of the kite to the speed of the wind is:
h = 5w
where h is the height of the kite in feet, and w is the speed of the wind in mph.
To learn more about slope from the given link:
https://brainly.com/question/2491620
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You recently deposited $2000 in a bank account during your first year at work.
During each subsequent year, you deposit $500 more than the previous year.
a.) How much money will you deposit in your 20th year at work?
b.) What is the total amount of money in your account after 20 years?
Answers
Answer:
A. $12,000
B. $147,000
Step-by-step explanation:
Solve using the quadratic formula x^2-10x+6
Answers
Answer:
\((x-5-\sqrt{19})(x-5+\sqrt{19})\)
Step-by-step explanation:
1) In general, given \(ax^2+bx+c\), the factored form is:
\(a(x-\frac{-b+\sqrt{b^2-4ac} }{2a} )(x-\frac{-b-\sqrt{b^2-4ac} }{2a})\)
2) In this case, \(a=1\), \(b= -10\) and \(c=6\).
\((x-\frac{10+\sqrt{(-10)^2-4\times6} }{2} )(x-\frac{10-\sqrt{(-10)^2-4\times6} }{2} )\)
3) Simplify.
\((x-\frac{10+2\sqrt{19} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)
4) Factor out the common term \(2\).
\((x-\frac{2(5+\sqrt{19)} }{2} )(x-\frac{10-2\sqrt{19} }{2} )\)
5) Cancel \(2\).
\((x-(5+\sqrt{19} ))(x-\frac{10-2\sqrt{19} }{2} )\)
6) Remove parentheses.
\((x-5-\sqrt{19} )(x-\frac{10-2\sqrt{19} }{2} )\)
7) Factor out the common term \(2\).
\((x-5-\sqrt{19} )(x-\frac{2(5-\sqrt{19}) }{2} )\)
8) Cancel \(2\).
\((x-5-\sqrt{19})(x-(5-\sqrt{19}))\)
9) Remove parentheses.
\((x-5-\sqrt{19})(x-5+\sqrt{19})\)
Thanks,
Eddie Echevarria
According to the number line, which statement MUST be true?
A. A>1
B. B>4
C. C<4
D D< 0
answer is B i just took the test
Answers
Help anyone??? Tysm
Answers
Answer:
1st option (mean: 38; median: 35)
Step-by-step explanation:
Mean is average. Add all values together and divide by amount of values (190/5 = 38). Median is the value that separates the higher half and the lower half from the set of numbers (25 35 35 45 50; 35 separates).
HELP ASAP PLEASE!!
stroller rental at the zoo costs $14.00 per day, but members get an 8% discount. What price do members pay for stroller rental?
Answers
Answer:
$10.08
Step-by-step explanation:
100%=$14
72%= x (cross multiple)
100% × x =72% × $14
100x =1008
divide both sides by 100
100x÷100=1008÷100
x=$10.08
Past records indicate that 10% of online retail orders are fraudulent. Suppose 20 online orders are placed. What is the probability that none are fraudulent
Answers
Answer:
\(Probability = 0.1216\)
Step-by-step explanation:
Given
\(n = 20\)
Represent fraudulent with p
\(p = 10\%\)
\(p = 0.10\)
Required
Determine the probability that none are fraudulent
First, we need to determine the proportion of those that are not fraudulent.
Represent this with q
\(p + q= 1\)
\(10\% + q = 1\)
\(q = 1 - 10\%\)
\(q = 90\%\)
\(q = 0.9\)
The required probability is binomial and can be determine using the following:
\((p + q)^n = ^nC_xp^xq^{n - x}; x = 0,1,2...n\)
In this case x = 0 (none);
So, the required probability is:
\(Probability = ^nC_0p^0q^{n - 0}\)
Substitute values for n, p and q
\(Probability = ^{20}C_0 * 0.1^0 * 0.9^{20 - 0}\)
\(Probability = ^{20}C_0 * 0.1^0 * 0.9^{20}\)
\(Probability = ^{20}C_0 * 1* 0.9^{20}\)
\(Probability = \frac{20!}{(20 - 0)!20!} * 1* 0.9^{20}\)
\(Probability = 1 * 1* 0.9^{20}\)
\(Probability = 0.9^{20}\)
\(Probability = 0.12157665459\)
\(Probability = 0.1216\) Approximated
Find the rate of change (slope) for the given table
a -1/4
b -4
c 1/4
d 4
Answers
Help me help me help me pls pls pls
Answers
Answer:
dont know but sorry I want points
I think it’s B but I am not sure dude sorry
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft
Answers
Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.
The volume of a pool of length l, width w and height h is given by:
\(V = lwh\)
Applying implicit differentiation, the rate of change of the volume is given by:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
Neither the width nor the length changes, hence \(\frac{dl}{dt} = \frac{dw}{dt} = 0\), and:
\(\frac{dV}{dt} = lw\frac{dh}{dt}\)
We are given that:
\(\frac{dV}{dt} = 0.3, l = 20, w = 40\), hence:
\(\frac{dV}{dt} = lw\frac{dh}{dt}\)
\(0.8 = 20(40)\frac{dh}{dt}\)
\(\frac{dh}{dt} = \frac{0.8}{800}\)
\(\frac{dh}{dt} = 0.001 \)
Water level is rising at rate of 0.001 ft/sec.
A similar problem is given at https://brainly.com/question/9543179
Which expression is equivalent to 1/5(150x-80y+50x-25y+20)
Answers
Answer: 40x-21y+4
Step-by-step explanation:
\(\frac{1}{5}(150x-80y+50x-25y+20)\\\\=\frac{1}{5}(200x-105y+20)\\\\ =\boxed{40x-21y+4}\)
Find the midpoint between - 3pi and pie
Answers
9514 1404 393
Answer:
-π
Step-by-step explanation:
The midpoint is the average of the end point values:
(-3π +π)/2 = (-2π)/2 = -π
The midpoint between -3π and π is -π.
Suppose that y varies directly as the square root of x, and that y = 48 when x = 144. What is y when x = 79? Round your answer to two decimal places if necessary
Answers
When two quantities (x , y) varies directly, means they increase together or decrease together, we use one of these rules
\(\begin{gathered} y=kx \\ OR \\ \frac{y_1}{y_2}=\frac{x_1}{x_2} \end{gathered}\)In the question, y varies directly with square root x, so the rule will be
\(\frac{y_1}{y_2}=\frac{\sqrt{x_1}}{\sqrt{x_2}}\)Since y is 48 when x = 144, then
\(\begin{gathered} y_1=48 \\ x_1=144 \end{gathered}\)We need to find y when x = 79
\(\begin{gathered} y_2=? \\ x_2=79 \end{gathered}\)Let us substitute them in the rule
\(\frac{48}{y_2}=\frac{\sqrt{144}}{\sqrt{79}}\)By using cross multiplication
\(\begin{gathered} \sqrt{144}\times y_2=48\times\sqrt{79} \\ \sqrt{144}y_2=426.633332 \end{gathered}\)Divide both sides by square root 144
\(\begin{gathered} \frac{\sqrt{144}y_2}{\sqrt{144}}=\frac{426.633332}{\sqrt{144}} \\ y_2=35.552777 \end{gathered}\)Round it to 2 decimal places
\(y_2=35.55\)To check your answer look at the values of x and y
Since x decreased from 144 to 79, y also decreased from 48 to 35.55
So your answer is right
The value of y is 35.55
What is 3/11 simplified
Answers
HURRY PLEASE!
A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 40 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
Answers
Answer:
it is 68
Step-by-step explanation:
Multiply 3 1/3 x 1 1/7
write the answer in simplest form.
Answers
A bag has eight balls labeled A, B, C, D, E, F, G, and H. One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing a letter from A to D. If there is more than one element in the set, separate them with commas. Samplespace: Event of choosing a letter from A to D:
Answers
We will have the following:
All the outcomes for the event of choosing a letter from A to D are:
\(\frac{4}{8}=0.5\)So half the times a ball is picked there should be one from letter A to D.
***Explanation***
We have the following set:
\(\mleft\lbrace A,B,C,D,E,F,G,H\mright\rbrace\)So, the set has a magnitude of 8 [Since it has 8 components].
When we pick any given value from the set we will have that we will have to pick 1 value from the total set, that is:
\(\frac{1}{8}\)But, when we are asked of the event of taking specific values from to D we are asked to pick 4 specific values:
\(\mleft\lbrace A,B,C,D\mright\rbrace\)That set has a magnitude of 4. So, in order to determine the event of picking a value from the second set on the first set, we will have:
\(p=\frac{4}{8}\Rightarrow p=\frac{1}{2}\Rightarrow p=0.5\)This event is represented by "p" the probability of that happening. So, the probability of the event happening [Selecting one of the balls of the specific set] is 1/2; in other words, each time you pick there is a 50% chance you will get one of the values of the smaller set.
What's the square root of 92
Answers
Answer:
9.79795897113
8464
so you do 92x92 90 more times then you get the answer
you in my business yea don't do that you see me
Answers
Answer:
you in my buissnesss???? yeaaa dont do daTTT
Step-by-step explanation:
Answer:
Bro what are you even talking about?
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 860 mg in the year 2010 and decays exponentially over time. A measurement in the year 2013 found that the sample's mass had decayed to 570 mg. What would be the expected mass of the sample in the year 2022, to the nearest whole number?
Answers
Answer:
y=166
Step-by-step explanation:
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
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1500 as a mixed number, please help QUICK
Answers
Answer:
divid 1500 to 50
Step-by-step explanation:
Answer: 1500 0/0
Step-by-step explanation:
How many Hershey kisses are in this 128 oz mason jar. Please help, it’s for a school contest!
Answers
Answer:
Step-by-step explanation:
The jar is 4.5 inches wide by 6.5 inches tall by 6.5 inches deep with a 3 inch opening. Use it over and over again, filled with your favorites. There are roughly 325 chocolate kisses in each jar.
Due to environmental considerations, homeowners in a particularly dry area have been asked to use less water than usual. One home is currently using 770
770
gallons per day. This is 710
7
10
of the usual amount of water used in this home.
Answers
Answer:
good
those desert people ought to use less water
how do I write 10b4 + 3b2 - 11 in quadratic form
Answers
Answer:
46b-11
Step-by-step explanation:
Solve for y -18 = 7y + 9 - 10y
Answers
Answer:
I think that is 26y
Step-by-step explanation:
Answer:
the answer for y-18 =7y + 9 - 10y
Step-by-step explanation:
Will give 50 points for answer to this question
Answers
1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.
Answers
Answer: 60 miles
Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.
Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60