Answer:
c is the answer
22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?
This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).
We have
S = 1 + 2 + 3 + … + 38 + 39 + 40
S = 40 + 39 + 38 + … + 3 + 2 + 1
==> 2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)
==> 2S = 40 × 41
==> S = 820
and
T = 0 + 1 + 2 + … + 37 + 38 + 39
T = 39 + 38 + 37 + … + 3 + 2 + 1
==> 2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)
==> 2T = 40 × 39
==> T = 780
The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so
average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80
average = (S - T )/80
average = (820 - 780)/80
average = 40/80 = 1/2
67. Evaluate 2a - 3 when a = - 5
Answer:
-13
Step-by-step explanation:
2a - 3, where a = -5
= 2(-5) - 3
= -10 - 3
= - 13
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]
Help Me quick my cousin needs to get this done I’ll give you 10 extra points for who ever picked the correct answer please and thank you!
A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)
Step-by-step explanation:➡️ [tex] \cos(x + 2x) [/tex]
➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]
➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]
➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]
➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 95 and your test average is 56?
Answer value
Using weighed averages, it is found that your final grade will be of 82.13.
-----------------------------------
The weighed average is given by the sum of the grades multiplied by it' weights.The homework grade is 95.The test grade is 56.The higher grade is worth 67% of the grade. Thus, the homework grade, of 95, is worth 67% of the final grade.The lower grade is worth 33% of the grade. Thus, the test grade, of 56, is worth 33% of the final grade.Using the data and the weighed average concept, the final grade is:
[tex]G = 0.67(95) + 0.33(56) = 82.13[/tex]
The final grade is 82.13.
A similar problem is given at https://brainly.com/question/24398353
Power Function:
Exercise: Recognize and analyze the graph of the power function as the exponent "n" and the coefficient "a" vary.
1. Consider a positive exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
2. Consider a negative exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
9514 1404 393
Explanation:
For this purpose, we define your power function as ...
f(x) = a·x^n
Most of the description here applies to any function. A "power function" is a special case of a polynomial function in that it only has one term. The parity of the exponent (even, odd) tells you whether the function is even or odd. As with any even or odd function, there will be a certain symmetry:
f(-x) = f(x) . . . even function; symmetrical about the y-axis
f(-x) = -f(x) . . . odd function; symmetrical about the origin
__
The coefficient of the function is the vertical scale factor. As with the vertical scale factor of any function, when it is negative, the function graph is reflected in the x-axis. When it increases in magnitude, points on the graph move farther from the x-axis; closer when it decreases.
__
1.A) The red graphs in the first attachment are graphs of f(x) = ax^2 for different values of 'a'. As described above, the graph is symmetrical about the y-axis.
B) The black graphs in the first attachment are graphs of f(x) = ax^3 for different values of 'a'. As described above, the graph is symmetrical about the origin.
C) As described above, when the coefficient is negative, the graph of the parent function is reflected across the x-axis. The dashed-line graphs in the first attachment are graphs of the function with a negative coefficient.
D) As described above, the coefficient is the vertical scale factor. Changing it stretches or compresses the graph vertically. The dotted red graph in the first attachment shows a vertical expansion; the dashed black graph shows a vertical compression (reduction in the coefficient magnitude).
__
2.The second attachment shows graphs with negative exponents. Otherwise, the graphs are scaled and reflected the same as they were in Part 1.
A) As described above, the graph is symmetrical about the y-axis.
B) As described above, the graph is symmetrical about the origin.
C) As described above, a negative coefficient causes the graph to be reflected across the x-axis.
D) As described above, the magnitude of the coefficient affects the distance of the graph from the x-axis. Increasing magnitude increases the distance; decreasing magnitude decreases the distance (proportionally).
Answer and explanation?
Answer:
∠HDG = 117°
∠FDG = 180°
Step-by-step explanation:
∠FDG:
Since ∠FDG is a straight line, it measures 180°. This is because every straight line measures 180°.
∠HDG:
∠HDG = ∠FDG - ∠FDH
∠HDG = 180° - 63°
∠HDG = 117°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults
This is the only one I’m stuck onnn omg
add 6 to the difference between 9 and 7
a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)
PLEASE HELP ASAP
in a sample of people on the school board 2 out of 5 were in favor of a new high school being built. if 3,500 people vote in the new local election approximatelyhow how many would vote aginst the new high school being built?
Answer:
2,100 people
Step-by-step explanation:
~Divide to find the number of people in fifths
3,500 / 5 = 700
~Multiply to find 2/5 of the total people
700 * 2 = 1,400
~Subtract to find the number of people against building the school.
3,500 - 1,400 = 2,100
Best of Luck!
ANSWER BOTH IF POSSIBLE
Answer:
Question 8: (3,12)
Question 9: (8,-9)
Step-by-step explanation:
Question 8.
(5+x)/2 = 4
5+x=8
X = 8-5
X=3
(-6+y)/2=3
-6+y=6
Y=12
Question 9
(-2+x)/2=3
-2+x=6
X=8
(9+y)/2=0
9+y=0
Y=-9
Solve: 2 In 3 = In(x-4)
Answer:
x = 13
Step-by-step explanation:
one of the rules of logarithm (for all bases, by the way, not just e for ln) is
[tex]a \times ln(b) = ln( {b}^{a} ) [/tex]
so, we have
ln(3²) = ln(x-4)
=>
3² = x - 4
9 = x - 4
x = 13
Find the solution for
2 - 3(x +4) = 8
Answer:
The answer is -6.
Step-by-step explanation:
2-3*(-6+4)=8
2−3
Find the slope of the line passing through the points ( 9, -5) and (1, -1)
Answer:
m = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]
~~~~~~~~~
( 9 , - 5 )
( 1 , - 1 )
m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]
What is the answer to this?
Answer:
18
Step-by-step explanation:
x+11=3x-25
36=2x
x=18
12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7
Answer:
A
Step-by-step explanation:
7 less than m=m-7
multiplied by 3 = 3(m-7)
Answer:
C. 3(m + 7)Step-by-step explanation:
First,
7 less than m = m - 7
Then,
3 times the quantity of 7 less than m = 3 ( m - 7 )
Hence,
Req. expression is 3(m-7)
Add.
−5/6+(−2 5/8)
Enter your answer as a simplified fraction by filling in the boxes.
Step-by-step explanation:
[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]
[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]
[tex] = \frac{ - 20 - 63}{24} [/tex]
[tex] = \frac{ - 83}{24} (ans)[/tex]
eg jammu jdndhdbshsbsbs
Answer:
A: [tex]3\frac{1}{3}[/tex]
B: [tex]3\frac{2}{3}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
use the given sets to answer the following questions A=1,3,5,7 B=2,3,4,5,6,8 c=2,3,5 D=1,2,3,4,5,6,8
Step-by-step explanation:
Steps are in the picture above.
A number divided by 4 plus 3 is 8
Answer:
[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]
Answer:
[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]
(3 x 9) - (3 x 4) = ? x (9 - 4)
Answer:
15
Step-by-step explanation:
3×9 =27
3×4= 12
27-12= 15
:) hope it helps
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25
What is p (blue)? ......
Answer:
P(blue)= 0.25 or 1/4
Step-by-step explanation:
On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
Answer pls urgent shhzhzhsensnsj
Answer:
1/6 + 1/2 = 1/6 + 3/6 = 4/6
SIMPLIFIED IS = 2/3
Step-by-step explanation:
The school band has d drummers and 5 violinists. There are 2 more violinists than drummers. Which of the following equations represents the situation?
Answer:
A d = 5+2
Step-by-step explanation:
There are two more drummers than violinists
There are 5 violinists
5 + 2 = d
or in other words, d = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please Help!!! Will give brainliest
Answer:
all limits exist.
Step-by-step explanation:
plz see in the picture for more explaination.
Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3
Answer:
ox,-3
Step-by-step explanation: