Question has a slight error .we should find n(A[tex]\cap[/tex]B)
n(A)=12n(B)=9.$n(A\cup B)=16$[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]
Terminating Decimal between .5 and .6
Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.
Answer:
-20
Step-by-step explanation:
Hi
The value of the expression is a decimal -17.33.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.3x = -5 - (-0.4 - (-0.6))
0.3x = -5 - (-0.4 + 0.6)
0.3x = -5 - 0.2
0.3x = -5.2
x = -5.2/0.3
x = -17.33
Thus,
The value of x is -17.33.
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Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )
Answer:
212
Step-by-step explanation:
[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]
[tex]3(9) + 2(100) + 15[/tex]
[tex]27 + 200 - 15[/tex]
[tex]212[/tex]
3/2 x -6
hahshdnndndndjd
What is the quotient of 4.653 x 107 and 7.05 x 103 expressed in scientific
notation?
Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
What is the value of 2-3. 22,
Pls help quick
Answer:
-1.22
Step-by-step explanation:
Can someone help me out?
Answer:
I think it's D.................
What is the volume, in ml, of 100. grams of mercury? Mercury has a density of 13.54 g/mL
(which means 1mL=13.54 g).
13.54 g/mL = (100 g)/v
==> v = (100 g)/(13.54 g/mL) = 7.39 mL
The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.
To calculate the volume of 100 grams of mercury, we can use the density formula:
Density = Mass / Volume
We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.
Volume = Mass / Density
Substituting the given values:
Volume = 100 g / 13.54 g/mL
Simplifying the division:
Volume= 7.38 mL
Therefore, the volume of 100 grams of mercury is 7.38 mL.
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The gradient of the line joining (4, q) to (6, 5) is twice the gradient
of the line joining (0, 0) to (4, q). Find q.
Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
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RS=3y+5, ST=2y+9, RT=54. what is the value of y?
Answer:
56
Step-by-step explanation:
show your work
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
Find the value of x (trig)
According to the figure:-
P=13H=25We know that Sin∅=P/H
Hence Sinx°=13/25
[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]
Be brainlywhich is the simplified form of the expression
please help!!
Answer:
A
Step-by-step explanation:
p^-8q^-20 * p^8q^-10
=q^-30
=1/q^30
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x < 2?
Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers
Answer:
The first number = 4The second number = 6The third number = 8Step-by-step explanation:
Let all unknown numbers be represented by the variable x.So;x = first number
x + 2 = second number
x + 4 = third number
placing in a form as demanded by the question.5(x + 2) = 6 + 2x + 2 ( x + 4)
5x + 10 = 6 + 2x + 2x +8
5x - 4x = 14 - 10
x = 4
Therefore;The first number (x) = 4
The second number ( x + 2) = 4 + 2 = 6
The third number (x + 4) = 4 + 4 = 8
Answer:
2x + 2x +2 + 2x +4 = 6x +6 =Sum
5 * (2x +2) = 2 * (2x + 2x +4) +6
10x + 10 = 8x + 8 + 6
2x = 4
x = 2
So the numbers are:
2x or 4
2 x + 2 = 6
2x + 4 = 8
Double-Check
5 * 2nd integer = 30
2 * (1st + 3rd integers) = 24
30 is 6 more than 24
Success!!!
Step-by-step explanation:
What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10
Answer:
e^0=x^2-25=1
x^2=26
x=sqrt(26), pos and neg
The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is ln(x²-25)=0
x²-25>0
(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))
x>-5 and x>5
Now, e⁰=x²-25
1=x²-25
x²=26
x=±√26
Therefore, option C is the correct answer.
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Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106
Answer:
adding by 13
Step-by-step explanation:
subtract 54-41
This is finding the midpoint. Please help
Answer:
hence the required midpoint of the given line is (9,5)
Answer:
[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]
The answer is :(4, 10)
a man bought a 4 kg apples at the rate of rs 50 per kg he sold 3 kg apples at the rate of rs 65 and 1 kg apples at rs 40 find his profit or loss amount.
Answer:
35rs of profit
Step-by-step explanation:
4*50=200rs- he spent
3*65+1*40=195+40=235rs- he got
235-200=35rs of profit
Help me please thank you
Answer:
19, 25, 32
Step-by-step explanation:
Find the difference within each number:
5 -> 7: + 2
7 -> 10: + 3
10 -> 14: + 4
With each difference, + 1 is added so we can infer the next difference will be + 5.
14 + 5 = 19
Next is + 6.
19 + 6 = 25
Now + 7.
25 + 7 = 32
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 10 times t squared plus 50 times t end quantity over the quantity t squared plus 4 times t plus 3 end quantity comma where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points) Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.
The domain of the function is [tex]t \ge 0[/tex] The greatest concentration of the medication is 5mg/LGiven that:
[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]
(a): The domain of the function
Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.
t, cannot take negative values (i.e. it is not possible to have a negative time).
The least possible value of t is 0
So, the domain of the function based on the context is:
[tex]t \ge 0[/tex]
(b) The greatest concentration of the medication
From the graph (see attachment), the maximum y-value is 5.
Hence, the greatest concentration of the medication is 5 mg/L
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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.
B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.
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Angle AOE has what measurement according to the protractor?
A. 140°
B. 60°
C. 40°
D. 120°
Answer:
120°
Step-by-step explanation:
The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.
Answer:
120
Step-by-step explanation:
convert 0.2 kg into mg
Answer:
The answer is 200000 milligrams
Hope that helped you
I need help with 16-25
5x = y
identify the slope and y intercept for the line
Answer:
the slope is 5
and the intercept is 0
Step-by-step explanation:
In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
Please find the value of x and y. It's in angle addition postulate so if you know how to solve these please help.
Answer:
see explanation
Step-by-step explanation:
(7)
(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then
25x + 8 + 9x + 2 = 180 , that is
34x + 10 = 180 ( subtract 10 from both sides )
34x = 170 ( divide both sides by 34 )
x = 5
Then
9x + 2 = 9(5) + 2 = 45 + 2 = 47
(7y + 5) and (9x + 2) are vertical angles and are congruent , so
7y + 5 = 47 ( subtract 5 from both sides )
7y = 42 ( divide both sides by 7 )
y = 6
------------------------------------------------------
(8)
(11x - 24) and (7x + 30) are vertical angles and are congruent, so
11x - 24 = 7x + 30 ( subtract 7x from both sides )
4x - 24 = 30 ( add 24 to both sides )
4x = 54 ( divide both sides by 4 )
x = 13.5
Similarly
(17y - 4) and (5y + 38) are vertical angles and congruent , then
17y - 4 = 5y + 38 ( subtract 5y from both sides )
12y - 4 = 38 ( add 4 to both sides )
12y = 42 ( divide both sides by 12 )
y = 3.5
8.
The
square of a number is always greater than the number.
Answer:
The above given statement is true
