Step-by-step explanation:
yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.
these are the 2 positive integer factors.
if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.
if the number can be divided without remainder by another number, then we are not dealing with a prime number.
but if your teacher did not have these default factors in mind, then no :
example : 15
15 has only 2 factors : 3 and 5.
both are positive integer numbers.
and yet 15 is not a prime number.
but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?
Answer:
B a vertical translation 50units right
help please ill give the person who answeres honstly a biranly and 25 points ofc ofc
Answer:
Alright I’ll go in order
Well first things first I’m gonna make the numbers in order first to make life easier
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
#1: Is asking for the median of the data
The median is basically the center of the data in order
In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5
Median :40.5
#2: Is asking for the mode
The mode is the number that comes up or repeats the most.
in this case it’s 39, 40, and 46
Mode: 39, 40, 46
#3: Is asking for the mean
The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like
22+36+39+39+40+40+41+42+45+46+46+49
you would get 446
Now theres 12 numbered so we divide that by 12
446/12 you’d get 37 1/6 as ther average or 37.166666666666…
#4: Is asking for the range
You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27
Range: 27
I think you can figur the rest out on your own!
Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building
Answer:
Step-by-step explanation:
40cos70 = 13.68080573... 13.681 ft.
f(3) if f(x) = 2x+2 helpppppppppppppppppp
Answer:
= 8
Step-by-step explanation:
2x = 2 × 3 is 6 because f(3) then + 2 is 8
3 x 2 = 6
6 + 2 = 8
The correct answer is 8
(Hope this helps can I pls have brainlist (crown)☺️)
A) y = 5x
B) y = 10x
C) y = 7.5x
D) y = 30x
Find the following limit without using a graphing calculator or making a table.
Answer:
Step-by-step explanation:
thanks i'll mark brainliest
Answer:
1.
Step-by-step explanation:
the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter
Answer:
32cm
Step-by-step explanation:
Answer:
Given that: The length of a rectangle is 4 less than 3 times its width. The perimeter of a rectangle is 32 cm.
Please help!!
Choose the definition for the function.
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Answer:
A. {2x, x<1; (x+5)/2, x≥1}
Step-by-step explanation:
The left side of the graph (x<1) has positive slope and a y-intercept of 0. Only one answer choice matches: choice A.
Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.
Answer:
17.8 miles
Step-by-step explanation:
His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.
Since it asks for the distance he reduced to the office, we would do
21.45 - 3.65 = 17.8 miles
A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9
Using the equation for the area of a rectangle, the original width of the pen is determined by:
9.5 (W + 5.7) = 77.9
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
Increases the width by 5.7 yards, hence [tex]w = w + 5.7[/tex], in which w is the original width.The length remains at 9.5 yards, hence [tex]l = 9.5[/tex].The area is of 77.9 square yards, hence [tex]A = 77.9[/tex]Then:
[tex]A = lw[/tex]
[tex]9.5(w + 5.7) = 77.9[/tex]
For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198
In this problem, I did part a) correctly, but I got 7 points off in part b) but I don’t know why?
Answer: You need to prove that ABCD is a rhombus because it's diagonals are always perpendicular, no matter what.
A rhombus is a quadrilateral and:
- its opposite angles have equal measure.
- The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.
- Its diagonals bisect opposite angles.
8m – 5 for m = 9 answer please
Answer:
= 67
Step-by-step explanation:
8m – 5 for m = 9
~Substitute
8(9) - 5
~Simplify
72 - 5
~Subtract
67
Best of Luck!
perform the operation and simplify
Answer:
[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]
Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square
Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help
Please take a look at the picture
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
Consider the graph of the of the quadratic function g(x). See below
Answer:
I believe the correct answers would be...
32.) B
33.) C
Step-by-step explanation:
32.)
Since the function is shifted downward 1 unit from the x-axis, "q" would be -1
33.)
If the function is shifted upward 4 units, the "+4" would be on the outside of the parentheses.
Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest
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Answer:
D. choosing first second-, and third-place winners in a cooking contest
Step-by-step explanation:
Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.
Cooking contest winners involve permutations.
Please help!!!
A. (-4,2)
B. (-4,-2)
C. (2,-4)
D. (2,4)
Answer:
A
Step-by-step explanation:
Have a nice day
i'll mark brainliest, thanks in advance!
Answer:
not enough information.
Step-by-step explanation:
We know one side and the vertical angle. We do not have enough information to determine if the triangles are congruent.
what is the ratio of 5:2
Answer:
5/2
Step-by-step explanation:
the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation
Answer:
7.44x10^9
Step-by-step explanation:
A local animal shelter has many cats and dogs. The shaded part represents the percent of animals that are dogs. If there are 82 dogs, how many animals are there in total?
Answer:
weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123
Step-by-step explanation:
mark me brainliest
What’s the solution to 2x - 2 > 2x + 4 ?
Answer:
This inequality isn't correct.
Step-by-step explanation:
2x - 2 > 2x + 4
Substituting any value for x, the result will be incorrect.
Actually,
2x - 2 < 2x + 4 is correct.
2x - 2x < 4 + 2
0 < 6
help plz we this work
Solve for x, please help, thank you
Answer:x=6
Step-by-step explanation:
x+5x=36
Step 1: Simplify both sides of the equation.
x+5x=36
(x+5x)=36(Combine Like Terms)
6x=36
6x=36
Step 2: Divide both sides by 6.
[tex]\frac{6x}{6} =\frac{36}{6}[/tex]
x=6
Answer:
x=6
Solve the inequality -3/4(12x+16)<9-5x.
Answer:
x > -21/4
Step-by-step explanation:
Answer:
x > -24/4
Step-by-step explanation:
-3/4 (12x + 16) < 9 - 5x
-3/4 * 12x - 3/4 * 16 < 9-5x
-9x - 3/4 * 16 < 9 - 5x
-9x - 12 < 9 - 5x
-4x - 12 < 9
-4x < 21
Simplify.
510√
2√
2√2
10√2
5√
Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear
Step-by-step explanation:
Answer:
√10/2
Step-by-step explanation:
I took le test
help me out guys !!!?
Answer:
4
Step-by-step explanation:
yeah-ya............. right?
Answer:
16
Step-by-step explanation:
because :-
f(x) =[x+6] x=-10
=[-10+6]
=10+6
16
Put the numbers from least to greatest
3.55
3.544
3.554
Answer:
3.544 < 3.55 < 3.554
Step-by-step explanation:
Answer:
3.554 3.55 3.544
Step-by-step explanation:
i hope this answer helps you <3