Answer:
-1 < x < 6
Step-by-step explanation:
|2x - 5| < 7
-7 < 2x - 5 < 7
-2 < 2x < 12
-1 < x < 6
Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =
A = 2p and B = 1/p are the values of a and b.
What does math division mean?
A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.To divide this,
[tex]\frac{6p^{2} }{3p} = 2p[/tex]
Multiplying back through, we have
[tex]3p * 2p = 6p^{2}[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^{2} - 6p^{2} = 0[/tex]
Bring down the next term, 9p.
See how many times 3p goes into 9p = 9p/3p = 3
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
2p + 3 + 3/3p
The remainder term 3/3p will simplify to 1/1p or 1/p;
this gives us
2p + 3 + 1/p
Therefore, the answer is A = 2p and B = 1/p
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What values of b satisfy 3(26 + 3)² = 36?
The numeric value of the b is 0.23 which satisfy the given equation.
According to the statement
We have to find that the value of the b.
So, For this purpose, we know that the
The numeric value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The equation is a
3(2b + 3)² = 36
then to find the value of b rearrange the terms then
(2b + 3)² = 12
(2b + 3) = \sqrt{12}
(2b) = \sqrt{12} -3
then
b = \sqrt{12} -3/ 2
b = 3.46 - 3/2
b = 0.46/2
b = 0.23.
So, The numeric value of the b is 0.23 which satisfy the given equation.
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Pls read to picture below
Answer:
1) 6a
2) 8
3) 18a
Step-by-step explanation:
1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]
Simplify using exponent rule with the same base
[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]
Multiply the monomials
[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]
Calculate the sum or difference.
[tex] \sf \: {6a}^{1} [/tex]
Calculate the power
[tex] \sf \: 6a[/tex]
2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]
simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]
[tex] \sf {2}^{3} [/tex]
calculate the power
[tex] \sf \: 8[/tex]
3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]
Simplify using exponents rule with the same exponent
[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]
Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m
[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]
Calculate the power
[tex] \sf 2 × 9a {}^{-1+2}[/tex]
[tex] \sf 18a[/tex]
2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
8348 = 8350(rounded to 3 SF)
2(ii) 0.00796 = 0.0080
2(II) 6.329 = 6
2(III) 0.05684 = 0.0568
Step-by-step explanation:
1.i
2a^-1 × 3a²
remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.
-1 + 2 = 1
so, we get
2×3 × a¹ = 6a
1.ii
(1/2)^-3
remember, the "-" on the exponent just means 1/...
so, it is actually
1 / (1/2)³ = 1 / 1/8 = 8
1.iii
2a^-1 × (3a)²
similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :
2a^-1 × 9a² = 2×9 × a¹ = 18a
2.
the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.
any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.
i.
8.348 is rounded to 3 significant figures : 8.35
ii.
0.00796 is rounded to 2 significant figures :
0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).
iii.
6.329 is rounded to 1 decimal place : 6.3
iv.
0.05684 is rounded to 3 decimal places : 0.057
3.
the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.
as deca stands for 10, a decagon has 10 sides and 10 vertexes.
the sum of its inner angles is
(10 - 2) × 180° = 8 × 180° = 1440°
1170° of that is already covered by the first 7 angles.
so, we have left
1440 - 1170 = 270°
for the remaining 3 angles (that are all equal).
so,
270 = 3×angle
angle = 270/3 = 90°.
so, all of the 3 remaining angles are 90°.
in a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. how many like both coffee and tea?
Answer:
9
Step-by-step explanation:
What’s exponent gives you 8
Answer:
There are many exponents that will give you 8.
I will list a few for you. :)
→ 2³
→ 8¹
→ [tex]\sf 4^{1.5}[/tex]
Hope this helps.
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
-6 -4-2
6
A
2
-2
-4
-6-
y
2
4
6
→
X
What is true about the domain and range of the function?
The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 ≤x≤
1.
The domain is all real numbers such that -3 ≤ x ≤ 1,
and the range is all real numbers less than or equal to
4.
The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
The domain is all real numbers less than or equal to
4, and the range is all real numbers.
Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
A circular plate has a circumference of 34.54in. What is the area? Use 3.14 for pie and round to the nearest square inch.
The area of the circular plate is 9234 inches²
How to find area of the circular plate?The plate is circular and have a circumference of 34.54 inches.
Hence, let's find the radius of the circular plate using the circumference of the circular plate.
circumference of the circular plate = 2πr
where
r = radiusTherefore,
34.54 = 2π × r
r = 34.54 / 2π
r = 17.27π
Therefore,
area of the circular plate = πr²
area of the circular plate = π × ( 17.27π)²
area of the circular plate = π³ × 298.2529
area of the circular plate = 3.14³ × 298.2529
area of the circular plate = 9233.65447952
area of the circular plate = 9234 inches²
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What multiplicity would you expect in a 1h nmr spectrum for the indicated proton(s)?
a. doublet
b. triplet
c. singlet
d. quintet
e. quartet
The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
NMR spectroscopy is used to examine the structure of molecules.
Another type of additional data available from 1H NMR spectroscopy is called multiplicity.
It is useful because it reveals how many hydrogens are on the next carbon in the structure.
1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.
In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to atoms within 3 bonds).
A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.
Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
Choose 5 ordered pairs whose second component is the opposite of the first component.
The 5 ordered pairs whose second component is the opposite of the first component are (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
Ordered pairs:
An ordered pairs is a composition of the x coordinate and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
It can be written as (a,b).
Here
a represents the x coordinate and
b represents the y coordinate.
It helps to locate a point on the Cartesian plane for better visual comprehension.
Given:
The second component is the opposite of the first component.
Here we need to find the 5 ordered pairs for that.
For the given statement,
Let x be the first component and y be the second component.
So it can be written as,
=> y = -x
So, the five ordered pairs are,
=> 1 = -1
=>2 = -2
=> 3 = -3
=> 4 = -4
=> 5 = -5
So, the ordered pairs are,
(x,y) => (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
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I need help w this asap
Answer: 6.8*10⁻⁴=0.00068
Step-by-step explanation:
[tex]6.8*10^{-4}=0.00068[/tex]
The temperature at noon is 75 degrees. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
Answer:51 degrees
Step-by-step explanation:
At noon the temperature is 75 degrees
the temperature drops 3 degrees every half hour.
First solve for time elapsed between noon and 4, which is 4 hours.
Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.
Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75
75 - 24 = 51.
Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus 3 end quantity squared minus 3 question mark?
The graph of g(x) is narrower than f(x) and is shifted to the right 3 units and down 3 units.
The graph of g(x) is narrower than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the right 3 units and down 3 units.
Answer: The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
Step-by-step explanation: I took the quiz and got it right
The function f(x) = x² is transformed and became g(x) = 3(x+2)² -1 has the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 unit.
What are graph transformations ?By applying suitable graph transformation we can shift, stretch, shrink, a given graph along x and y axis.
According to the given question given a graph f(x) = x² and g(x) is 3(x+3)² - 3.
Let us break transformations of g(x) one by one.
g(x) = 3f(x) which implies it's amplitude or vertical stretch is increased by a factor of 3.
Now, g(x) = 3(x+3)² implies the graph is shifted towards left by 3 units as x + 3 = 0 is x = -3.
Now, g(x) = 3(x+3)² - 3 implies that the whole graph has been shifted 3 units down along the y axis.
Hence the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
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I neeeddd the answer
Answer: 80 degrees because a line is 180°.
So if you subtract
180 - 100 = 80°
Answer:
x=80°
Step-by-step explanation:
The measures of angle x and the 100° angle form a straight angle.
This straight angle is 180°.
You can subtract the measure of one angle from the whole to find the measure of the other angle.
180°-100°=80°
This means angle x is 80°.
Justin is evaluating the expression 12.53.8x, when x is 7.9.
12.5+3.847.9)
16.3(7.9)
128.77
What was Justin's error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
O Justin should have added 3.8 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first
How to evaluate an expression?He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.
This was Justin solution to the expression
12.5 + 3.8(7.9)
16.3(7.9)
128.77
Now let's do our own arithmetic,
12.5 + 3.8x
we have to substitute the value of x in the equation.
12.5 + 3.8(7.9)
Using PEMDAS principle, we have to multiply before addition.
Therefore,
12.5 + 3.8(7.9)
12.5 + 30.02
42.52
Hence, Justin should have multiplied 3.8 and 7.9 first
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1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
How much will a person pay for 1.7 pounds of bananas at a price of $1.36 per pound?
Answer:
A person will pay $2.31 for a 1.7 pound of banana.
Step-by-step explanation:
1.7 pounds of bananas x $1.36 per pound = $2.31
Need help with the introduction to probability lesson, photo is attached below.
Answer:
For A.) there are only 2 so 2/8 would become0.25
B.) 4 even number 4/8= 1/2 = 0.50
C.) 1 Red 1/8= 0.125
D.) 5 Not blue 5/8 = 0.625
E.)3 Blues 3/8= 0.375
F.) 0 because there are no 9 so it's not possible
Step-by-step explanation:
Solve for x: −1 < x + 3 < 5 2 < x < 8 −4 < x < 2 2 > x > 8 −4 > x > 2
WILL MARK BRAINLIEST
The solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
How to determine the solution to the inequality?The inequality expression is given as:
-1 < x + 3 < 5
Subtract 3 from all parts of the inequality expression
So, we have:
-3 -1 < x + 3 -3 < 5 - 3
Evaluate the difference and sum
So, we have:
-4 < x < 2
Hence, the solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
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-2/-5+4/3 .,,,,,,,, nr
P
Answer:
1.73 repeated
Step-by-step explanation:
245 fraction is 7 50 time 128 frction is 53 100
Answer: 116 61/100 miles
Step-by-step explanation: Road trip is 245 7/50 miles long
They have already driven 128 53/100
Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)
245 7/50 = (50*245+7)/50 = 12257/50
128 53/100 = 12853/100
To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:
12257 - 12853 = 24514 - 12853 = 11661
50 100 100 100
They still have 11661/100 to drive. In mixed fraction:
116 61/100 miles
What is the solution to -3/4 X +2<-7
Answer:
Pretty sure it’s x>12
Step-by-step explanation:
Answer x > 12
thats the whole thing
The last four weekly values of sales were 80, 100, 105, and 90 units. the last four forecasts were 60, 80, 95, and 75 units. these forecasts illustrate:_________
These forecasts illustrate bias.
What is bias?Bias is defined as a disproportionate weight in favor of or against an idea or thing, usually in a closed-minded, prejudicial, or unfair manner. Biases can be inherited or acquired. Biases for or against an individual, a group, or a belief can develop. A bias is a systematic error in science and engineering. Statistical bias occurs when a population is unfairly sampled or when an estimation process produces inaccurate results on average. As an example, the previous four weekly sales values were 80, 100, 105, and 90 units. The last four forecasts were for 60, 80, 95, and 75 units, respectively. These forecasts show bias.Therefore, these forecasts illustrate bias.
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The ratio of the number of footballs to the number of baseballs is, The ratio of the number of baseballs to the number of footballs i
18 x 4/3 please help me. ☕
Answer:
24
Step-by-step explanation:
18/3 = 6
6*4 = 24
hi
18 = 6*3
so 18* 4/3 = 6*3*4 /3 = 24
f(9)=-4(9)^2-4(9)+18=
please help g(x) = f(x + 4) - 10 = 9^(x + 4) - 10
The expression for g(x) is 9x + 26
What is a function?A function can be defined as an expression, law or rule explaining the relationship between an independent and dependent variable.
Given the function;
g(x) = f(x + 4) - 10
Where f = 9
Substitute into the function;
g(x) = 9( x + 4) -10
expand the bracket
g(x) = 9x + 36 - 10
collect like terms
g(x) = 9x + 26
Thus, the expression for g(x) is 9x + 26
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Find the equation of the tangent line to the curve y = (8 ln(x))/x at the points (1, 0) and (e, 8/e).
The equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
It is required to find the solution.
What is a tangent ?A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.
Given:
[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]
Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.
[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]
We can now find the equation, because we know the slope and a point (1, 0).
[tex]y-y_{1} =m(x-x_{1} )\\[/tex]
y-0=1(x-1)
y=x-1
We can now find the equation, because we know the slope and a point (e, 8/e).
[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]
Therefore, the equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
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A 4-cup container of window cleaner costs $4. 48. What is the price per fluid ounce?
Answer:
14 cents
Step-by-step explanation:
because 4.48 divided by 4 = 1.12 BUT since there are 8 ounces in a cup 1.12 divided by 8 = 0.14
Help me figure out this piecewise question!! 60 points!
Check the picture below.