Answer:
Because sine can only be positive in quadrant II according to the CAST rule.
Which calculator correctly shows the quotient 6.47x10^-15/3.36x10^-29
1.92559524e+14
Step-by-step explanation:
6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:
6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}
Therefore 1.92559524 x 10^{14} or 1.92559524e+14
1.92559254e+ 14 is the correct value of the given expression.
What are mathematical operations?
The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given a number 6.47x10^-15/3.36x10^-29
Solving this given number using PEMDAS
=> 6.47x10^-15/3.36x10^-29
=> (6.47 * 10⁻¹⁵) / (3.36 * 10⁻²⁹)
=> (6.47 / 3.36) * 10⁻¹⁵ ⁺ ²⁹
=> 1.92559254 * 10¹⁴
in Scientific notation:
=> 1.92559254e+ 14
therefore, the correct value of the given expression is 1.92559254e+ 14.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ1
When the determinant of the coefficient matrix of a system of equations does not equal zero, the system has _________ solution(s)?
Answer:
one solution
Step-by-step explanation:
it means when the denominator does not equal zero
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has
10 pens left for himself.
Answer:
Im assuming they want to know how many were given to each friend? each friend would get 5 gel pens
Step-by-step explanation:
subtract the 10 that ram kept for himself from the original 35,you get 25,then divide 25 by 5 (because there is 5 friends ) which is 5 gel pens per friend
Suppose you will perform a test to determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables. Find the critical values of r given the
number of pairs of data n and the significance level a.
n=12. a.= 0.01
Answer:
The critical values of r are -0.708 and 0.708.
Step-by-step explanation:
A statistical test is being performed to determine whether there is any linear correlation between two variables.
The hypothesis can be defined as follows:
H₀: There is no linear correlation between two variables, i.e. ρ = 0.
Hₐ: There is a significant linear correlation between two variables, i.e. ρ ≠ 0.
The test statistic is given as follows:
[tex]t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}[/tex]
The degrees of freedom of the test is:
[tex]\text{df}=n-2=12-2=10[/tex]
The significance level of the test is, α = 0.01.
The critical values of r are:
[tex]r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708[/tex]
*Use the r critical value table.
Thus, the critical values of r are -0.708 and 0.708.
From the 'r' table, the values of 'r' are -0.708 and 0.708.and this can be determined by using the hypothesis test.
Given :
Suppose you will perform a test to determine whether there is sufficient evidence to support the claim of a linear correlation between two variables.Number of pairs of data n and the significance level a is n = 12, a = 0.01.The hypothesis test is performed in this problem. The null and alternate hypothesis is:
[tex]\rm H_0 : p=0\\[/tex]
[tex]\rm H_1:p\neq 0[/tex]
The t-statistics is given by:
[tex]\rm t =\dfrac{r\sqrt{n-2} }{\sqrt{1-r^2} }[/tex]
Degree of freedom is given by:
df = n - 2 = 12 - 2 = 10
The significance level for this test is [tex]\alpha = 0.01[/tex]
Now, the critical value r is given by:
[tex]\rm r_{\alpha /2,(n-2)}=r_{0.01/2,(12-2)}=r_{0.005,10} = \pm0.708[/tex]
So, from the 'r' table, the values of 'r' are -0.708 and 0.708.
For more information, refer to the link given below:
https://brainly.com/question/2817633
The domain of f(x) is the set os all real numbers greater than or equal to 0 and less than or equal to 2. True of false
Answer:
True
Step-by-step explanation:
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Diagram of how a function relates two relations.
Figure 2
We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write
(
0
,
1
0
0
]
(0, 100]. We will discuss interval notation in greater detail later.
Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.
Before we begin, let us review the conventions of interval notation:
The smallest term from the interval is written first.
The largest term in the interval is written second, following a comma.
Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.
Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.
The table below gives a summary of interval notation.
Summary of interval notation. Row 1, Inequality: x is greater than a. Interval notation: open parenthesis, a, infinity, close parenthesis. Row 2, Inequality: x is less than a. Interval notation: open parenthesis, negative infinity, a, close parenthesis. Row 3, Inequality x is greater than or equal to a. Interval notation: open bracket, a, infinity, close parenthesis. Row 4, Inequality: x less than or equal to a. Interval notation: open parenthesis, negative infinity, a, close bracket. Row 5, Inequality: a is less than x is less than b. Interval notation: open parenthesis, a, b, close parenthesis. Row 6, Inequality: a is less than or equal to x is less than b. Interval notation: Open bracket, a, b, close parenthesis. Row 7, Inequality: a is less than x is less than or equal to b. Interval notation: Open parenthesis, a, b, close bracket. Row 8, Inequality: a, less than or equal to x is less than or equal to b. Interval notation: open bracket, a, b, close bracket.
Which of the following are mathematical sentences? Check all that apply.
A. 5- V
B. 2 <3
c. 4 + 3 = 7
D. G
E. 7
F. 5-d = 9
Need help
C and F
....................
Answer:
B. 2 <3 and C. 4 + 3 = 7 and F. 5-d = 9
Please help me out with this please
The diameter of the circle is 8 units.
Circumference = pi x diameter
Circumference = 3.14 x 8 = 25.12 units.
The answer is B 25.1
Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches. The total area of the two triangles is _____ square inches.
The entire figure could be taken as a trapezium
A=1/2h(a+b)
h=8, a=6 and b=10
A=1/2×8(6+10)
A=4×16
A=64sq Inch
Answer:
128 or 56
Step-by-step explanation:
(8 X 10) + (6 X 6)
80 + 48 = 128
OR
No 10 eliminate it because it on the line
8 X (6 X 6) = 48 + 8 = 56
Arthur is organising his collection of DVDs. He has 112 altogether.
The ratio of comedy films to
action to horror is 6 : 7 : 3
How many of each type of DVD does he have?
Comedy
Action
Horror
Answer:
42 Comedy, 49 Action, 21 Horror
Step-by-step explanation:
6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators
112 (the total)/16 = 7 movies per part
6 parts of comedy = 6 x 7 = 42
7 parts action = 7 x 7 =49
3 parts horror = 3 x 7 = 21
Another way to think of it is:
(ex. comedy)
6/16=x/112
(CROSS MULTIPLY HERE)
16x=672
x=42
Help!!due today help as quickly plz 3 and 4
Answer and Step by Step explanation:
3. 7(1.5) + 2(4) + 3(6.5) + 5(7)
= 10.5 + 8 + 19.5 + 45
= 83 grams of salt
You look at the x-axis of the graph and that is the amount of grams of salt, and the dots represent one container. So you multiply the number of dots (containers) by the amount of grams (stated on the number line).
4. 83 x 2
= 166 grams of salt
This is because you already solved how much one of each container would be in the last question (question 3), so you would just have to multiply it my 2 to get the answer.
what is (3²-2³)⁶⁶ total
Answer:
1
Step-by-step explanation:
(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1
(3²-2³)⁶⁶ total is 1
To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation
From (3²-2³)⁶⁶
(3²-2³) can be simplified as shown below
3² = 3 × 3 = 9
and
2³ = 2 × 2 × 2 = 8
∴ (3²-2³) = (9 - 8) = (1)
∴ (3²-2³)⁶⁶ becomes (1)⁶⁶
(1)⁶⁶ = 1
(NOTE: 1 raised to any power is 1)
Hence, (3²-2³)⁶⁶ total is 1
Learn more here: https://brainly.com/question/19509852
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?
Let h represent the hours traveled.
Let m represent the miles traveled.
m = 45h
h = 45m
m = 45 + h
h = 45 – m
Answer:
m=45h
Step-by-step explanation:
The independent variable here is h, the number of hours it traveled, and this determines m.
In order to solve 439-165 would I need to regroup to solve? If yes in what place? Why?
Yes, you need to regroup in the ________place because
______________________.
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Have a great day
Question 8 of 10
2 Points
For any nonnegative real number a, (√a)^2 = ____.
A. √a
В. а
C. 1
D. a^2
Answer:
B
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]
Thus
([tex]\sqrt{a}[/tex] )² = [tex]a^{\frac{1}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex] = [tex]a^{(\frac{1}{2}+\frac{1}{2}) }[/tex] = [tex]a^{1}[/tex] = a → B
Find the value of n (picture provided)
Answer:
B
Step-by-step explanation:
Absolute value works like this.
For any number you put inside the absolute value bars, it will always come out positive, so -5 and 5 can work.
-If f(x) = 4x - 6 and g(x) = 2x, find Ax) g(x).
A. 6x² – 8x
B. 6x2 – 12x
C. 8x2 - 12x
D. 6x - 6
Answer:
Step-by-step explanation:
2x(4x -6)
8x^2 - 12x
the answer is c
What is the result of adding these two equations?
\begin{aligned} 5x-y &= 6 \\\\ -2x+y &= 8 \end{aligned}
5x−y
−2x+y
=6
=8
Answer:
the result of adding these two equations is
3x = 14
Step-by-step explanation:
We are given two equations
5x − y = 6 eq. 1
−2x + y = 8 eq. 2
Add the like terms together
5x - 2x = 3x
− y + y = 0
6 + 8 = 14
So the result of adding these equations is
3x + 0 = 14
3x = 14
Bonus:
The value of x is
3x = 14
x = 14/3
Answer:
3x = 14
Step-by-step explanation:
It worked on khan
What is the m < FAB?
Answer:
∠ FAB = 75°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FAB is an external angle, thus
13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )
10x - 3 = 57 ( add 3 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
Thus
∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°
Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate
Answer:
€800 = $1200
New exchange rate =
750/1200 = 1.6
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
{x: x = –1, 0, 1, 2}
{y: y = –7, –2, 3, 8}
{x: x = –7, –2, –1, 0, 1, 2, 3, 8}
{y: y = –7, –2, –1, 0, 1, 2, 3, 8}
Hey!!!
Range={y:y=-7,-2,3,8}
The right answer is of option B.
Explanation:
RangeThe set of second components or the set of elements of B are called the range.
Hope it helps...
Good luck on your assignment..
Stay safe....
Answer:
It is "B", on edge.
Step-by-step explanation:
hope it helps!
Which expression is equivalent to 4(n + 5)?
Answer:
4n+20
Step-by-step explanation:
Mrs. Le has 40 markers for her art class. 20% of the markers are red. How many markers are red?
Sorry wrong question delete this awnser
All of the following are equivalent to 3:8 = x : 32 except
8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x
Answer:
8:3=32:x
Hope thos helps you
help someone please
Answer:
C) [tex]1\frac{6}{100}[/tex]
Step-by-step explanation:
Hope this helps!
PLEASE HELP 1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter
months. When spring arrives, the warm air gradually melts the ice, causing its thickness to
decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of
the sheet of ice and t represents the time in weeks.
a. What is the initial value of this function?
b. What is the rate at which the ice sheet is melting?
c. How thick will the ice sheet be after 3 weeks?
Answer:
a). 2 meters
b). 0.25 meters per week
c). 1.25 meters
Step-by-step explanation:
Thickness of the ice sheet on the lake = 2 meters
Thickness decreases with a constant rate and thickness is modeled by the function,
h(t) = 2 - 0.25t [t = time or duration in weeks]
a). Initial value of this function will be it's y-intercept,
h(t) = 2 meters
b). Rate of the melting of this sheet (slope of the line) = 0.25 meter per week
c). After 3 weeks or t = 3 weeks,
h(3) = 2 - 0.25 × (3)
= 2 - 0.75
= 1.25 meters
PLEASE HELP!!! The figure shown below is a square. Give the angle value (numerical, not the letters)
Answer:
45
Step-by-step explanation:
if it is a square then all angles are 90 degrees. the line halfs them all meaning 90/2=45
Answer:
Step-by-step explanation:
Diagonals of square bisect the angles ∠D,∠E, ∠F & ∠G
And we know ∠D = 90
∠2 = 90/2= 45
Solve systems of equations for x + y, please!! 12x - 8y = -12 6x + 4y = -30
Answer:
x = -3, and y = -3, or the ordered pair is (-3, -3)
Step-by-step explanation
To solve this system, you can use the elimination method:
First, write both equations down.
12x - 8y = -12
6x + 4y = -30
If you multiply the second equation by 2, you can eliminate x. Rewrite the first equation, and multiply the second one by 2:
12x - 8y = -12
12x + 8y = -60
Once added, you get the equation:
24x = -72
x = -3
Now, we just plug -3 into one of the equations and solve for y:
12x - 8y = -12
12(-3) - 8y = -12
-36 - 8y = -12
-8y = 24
y = -3
So, x=-3, and y=-3, or the ordered pair is (-3, -3)
Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)
Answer:
hmm i think its answer B hope i helped :)
Step-by-step explanation:
Bryce did chores every single day in september.It took Bryce 7/8 hours to completing his chores on 20 of the days.The remaining days of the month it took him 1 hours to complete his chores.How many hours did Bryce do chores in September?(there are 30 days in September). ANSWER STEP BY STEP. PLZZZ ANSWER I REALLY NEED HELP
Answer:
Step-by-step explanation:
Because Bryce did 7/8 hours every day for 20 days,
7/8 hours is 52.5 minutes.
so then times 20, you will get 1050 minutes.
Then divided by 60(minutes per hour) you will get 17.5 hours,
which means she did 17 hours and 30 minutes in the first 20 days,
then you plus the last 1 hour per day for 10 days,
you will get 10 hours plus 17 hours and 30 minutes.
So Bryce have worked 27 and 30 minutes in september.
(I wish this could help you)
Answer:
27.5 hours
Step-by-step explanation:
Total hours:
20*7/8 + 10*1= 35/2+10=17.5+10= 27.5 hours
All identities are equations, and all equations are identities.
A. True
B. False
this is false not all equations and all equations are identities are same
