Answer: x - 4 without the absolute value bars surrounding it
=================================================
Explanation:
If x is larger than 4, then x-4 is positive. For example, if x = 5, then
x-4 = 5-4 = 1
So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.
It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.
In short, when x > 4, we simply drop the absolute value bars to get the answer x - 4
The area of a rectangle is 14 in. The length of one side is 7 in. What is its perimeter?
Answer:
The answer is 18
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The perimeter of the rectangle =18 in
Step-by-step explanation:
Given, Area of rectangle= 14 in
Length(l) of one side = 7 in
We know,
Area = lxb
or, 14 = 7xb
or, b = 2 in
then the perimeter of the rectangle = 2x(l+b)
= 2x(7+2)
= 2x9
=18in
A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.
please help
Answer:
The half-life of this radioactive substance is of 8.6 months.
Step-by-step explanation:
Exponential decay of an amount:
The equation that models an amount after t units of time, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A radioactive substance decays to 30% of its original mass in 15 months.
This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]
[tex](1-r)^{15} = 0.3[/tex]
[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]
[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]
[tex]1 - r = 0.9229[/tex]
So
[tex]A(t) = A(0)(0.9229)^t[/tex]
Determine the half-life of this radioactive substance to the nearest tenth.
This is t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.9229)^t[/tex]
[tex]0.5A(0) = A(0)(0.9229)^t[/tex]
[tex](0.9229)^t = 0.5[/tex]
[tex]\log{(0.9229)^t} = \log{0.5}[/tex]
[tex]t\log{0.9229} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]
[tex]t = 8.6[/tex]
The half-life of this radioactive substance is of 8.6 months.
Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n= 10 observations, is (461.7, 598.1).
Required:
What parameter is this interval estimating?
Answer:
The answers is " Option B".
Step-by-step explanation:
[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]
Where,
[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.
[tex]\to df=n-1=8-1=7[/tex]
[tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]
[tex]=\frac{1059.8}{2}\\\\=529.9[/tex]
Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]
The lower predicted value [tex]=529.9-2.365(Se)[/tex]
[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]
When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answer:
Step-by-step explanation:
12/35
alguem me ajuda
por favor
Answer:
sorry I'm confused boy sorryy
Only please help #2,3,5, and 6
Answer:
3.$0.9
5.9:3 =3:1
Step-by-step explanation:
3.$5.40÷6=$0.9
What is the height of the cone below? V = 90 cm 2 B=18 cm 2
Answer:
Step-by-step explanation:
what do u need help with
Mrs. Smith decides to buy three sweaters and a pair of Jeans. She has $129 in her wallet.
If the price of the Jeans Is $40.05, what is the highest possible price of a sweater, each sweater is the
same price?
Variable:
Equation:
Solution:
Answer:
Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
POSSIBLE POINTS 50
Mr Franklin needs to pay for his three kids to go to college. He figured out that college will cost an average of
$50,000 per year per child when they are ready to go to college. To pay for this, Mr. Franklin bought a cylindrical
gas truck, The truck is 40 feet long and the radius of the base is 60 inches, Gas has a density of five pounds per
cubic foot. Mr. Franklin makes $2.50 per pound of gas when he sends a delivery. How many trips of full tanks of
gas will Mr. Franklin have to send to pay for his three kids to go to four years of college each?
Be sure to label each step and show all work. Don't forget units.
a) Find the volume of the cylinder
b) Find the mass of the gas in one truckload by using the density formula
c) Find the amount of money one truckload will generate.
d) Find the amount of money four years of college will cost for Mr. Franklin's three children.
e) Find the amount of trips it will take Mr. Franklin to make enough money to pay for college,
5
x Clear
Und
Answer:
2500
Step-by-step explanation:
You answered 85% of the questions on the quiz correctly. What fraction of
the questions did you answer correctly?
Answer:
A percentage is out of 100.
85/100
in lowest terms this is
17/20
Hope this helps :)
Step-by-step explanation:
Can someone help me please?
9514 1404 393
Answer:
[tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]
Step-by-step explanation:
See the attachment for the working out of the long division.
At the neighborhood block party, Hassan served 3 gallons of hot chocolate and 1/2 of a gallon of apple cider. How much more hot chocolate than apple cider did Hassan serve?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2 gallons and 1/2
Step-by-step explanation:
You just have to subtract 1/2 from 3.
3 - 1/2 = 2 1/2
or
3 - .5 = 2.5
And 2 1/2 is how much more he served.
Answer: 5 times more hot chocolate
Step-by-step explanation:
Someone please help me
Answer:
48
Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)
Hope this helps
Answer and Step-by-step explanation:
The answer is 48.
Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.
For when it is 1 foot, you multiply 12 by 1 to get 12.
For when it is 2 feet, you multiply 12 by 2 to get 24.
For when it is 3 feet, you multiply 12 by 3 to get 36
For when it is 5 feet, you multiply 12 by 5 to get 60.
If you were to continue, the y-values (aka the inches) will always be a multiple of 12.
#teamtrees #PAW (Plant And Water)
2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct?
Answer:
2(3x - (-4)) = 6x + 8
Step-by-step explanation:
2(3x - A) = 6x + 8
6x - 2A = 6x + 8
Equating constant terms on both sides :
-2A = 8
A = -4
Therefore, 2(3x - (-4)) = 6x + 8
Answer:
Step-by-step explanation:
2(3x-(-4))=6x+8
2*3x=6x
2*-(-4)=8
Negative times negative makes positive 4
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
8. True or False. The correlation coefficient is a measure of the strength of an
association between two variables.
PLEASE ANSWER THIS
PLEASE URGENT WORK
I M CRYING
Answer:
b=69(alternate angle)
b=37(alternate angle)
50 PTS AND BRAINLIEST FOR CORRECT ANSWER
Answer: I asked my teacher, she said it is c
Step-by-step explanation:
Answer:
yes it's c
have a great day
Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.
{6, 47, 49, 15, 43, 41, 7, 36}
First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5
Answer:
Step-by-step explanation:
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card
Answer:
0.1771
Step-by-step explanation:
total number of cards in a deck : 52
number of face card per suite : 3
total number of suites : 4 (hearts, clubs, diamonds, spades)
3 * 4 = total number of face cards
12/52 = 0.23 = probability of drawing a face card
remaining card are non face cards
52-12 = 40
40 non face cards
40/52 = 0.77 = probability of drawing a non face card
probability of drawing a face card followed by a non face card
multiply probabilities together to find combined probability
probability of drawing a face card * probability of drawing a non face card
= 0.23 * 0.77
= 0.1771
The dot plot shows the number of goals Erin's soccer team scored this season Goals Scored Per Game 2 Which is a true statement about the dot plot? The team never scored exactly 2 goals in a single game. OThe team scored exactly 1 goal in 3 games this season. OThe most goals the team scored in a single game were 8. O The team scored exactly 3 goalsin 4 games this season. thank you so much
Answer:
The answer is A. The team never scored exactly 2 goals in a single game.
Step-by-step explanation:
Edg 2021
The correct answer is Option A , The team never scored exactly 2 goals in a single game.
What is a dot plot ?A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
These types of charts are used to graphically depict certain data trends or groupings.
The team never scored exactly 2 goals in a single game.
It is Option A , because it says the team never scored exactly 2 goals in a single game
and the dot plot shows 0 dots in number 2 which means A. is the correct answer.
To know more about dot plot
https://brainly.com/question/22746300
#SPJ2
GUYS PLEASE HELP ALMOST DUE
Answer:
1/5
Step-by-step explanation:
y = 12
12 = 1/5 x 60
12= 12
y = 9
9 = 1/5 x 45
9 = 9
and so on and it always results to one fifth
Which statements are true? Select each correct answer. All triangles are open figures. All triangles have 3 sides that are equal in length. All triangles are polygons. All triangles have 3 angles. Only some triangles have 1 right angle.
Answer:
the answers are the 3 last ones
Step-by-step explanation:
hope this helped
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in, shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie___________.
Jennifer ___________.
Answer:
see below
Step-by-step explanation: 5 27 6 46
Corrie is 5 inches taller than Jason who is 4 ft. 9 in
Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in or convert ft to inches and add
[4(12) + 9] + 5 = 62 62/12 = 5 ft. 2 in.
Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches (-3) inches taller than Jason or 3 in. shorter than Jason
Jennifer is 4 ft. 9 in - 3 in. = 4 ft. 6 in
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
Find the circumference of the object 6 Cm
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
2 · π · 6
≈ 37.7