Answer:
Step-by-step explanation:
36=2×2×3×3
factors of 36 are 2,3,4,6,9,12,18,36
when N+2=2,N=0 (0 is neither positive nor negative.)
N+2=3,N=3-2=1
N+2=4,N=4-2=2
N+2=6,N+6-2=4
N+2=9,N=9-2=7
N+2=12
N=12-2=10
N+2=18,N=18-2=16
N+2=36,N=36-2=34
so for 7 positive integer values of N,36/(N+2)is a positive integer.
Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer
The total number of positive integers needed will be equivalent to all the factors of 36 as shown;The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integerLearn more on factors here: https://brainly.com/question/25829061
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
Xian and his cousin Kai both collected stamps. Xian has 56 stamps, and Kai has 80 stamps. They boys recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. after how many months will Xian and Kai have the same number of stamps? How many stamps will each have?
Answer:
After 4 months Xian will have 104 stamps,
But after three months Kai will also have 104 stamps
Step-by-step explanation:
Which statement is true about the solutions to x^2 - 1 = 24
A. There are two distinct irrational solutions.
B. There are two distinct rational solutions
C. There is only one rational solution
D. There is only one irrational solution
Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.
Answer:
Yes, because the P(A)P(B) = P(A and B)
Step-by-step explanation:
Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;
P(A and) = P(A)P(B)
Given: P(A) = watching a movie = 62% = 0.62
P(B) = going out to dinner = 46% = 0.46
The probability of watching a movie and going out to dinner will be
P(A and B)
P(A and B) = 0.62×0.46
P(A and B) = 0.2852
P(A and B) = 28.52%
Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7
If F(x) = x - 7 and G(x) = x3, what is G(F(x))
[tex]g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343[/tex]
Find the sum of 29,the product of 2 and 9 and the difference between 2 and 9
Step-by-step explanation:
Sum means adding of numbers
Product means multiplying the numbers
Difference means minus two numbers
First number is 2 and other number is 9.
Sum of 2 and 9 = 2+9 = 11
Product of 2 and 9 = 2×9 = 18
Difference between 2 and 9 = 9-2 = 7
Hence, this is the required solution.
Quadratic and Ratios...
Answer:
x=0
Step-by-step explanation:
in the quadratic formula to only have one solution
[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]
so we have
[tex]ax^2+b=c[/tex]
[tex]ax^2+(b-c)=0[/tex]
if we insert in the formula we have
[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]
[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0
[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]
Find the area of the triangle ABC given A = 30°, b = 5, and c = 2 [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{8}[/tex]
4[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{2}[/tex]
Answer:
a=6.25 unit^2
Step-by-step explanation:
Given:
A=30°
b=5
c=2½
Required:
a=?
Formula:
a=½b*h
Solution:
a=½b*h
=½5*2½
=½*5*5/2
=0.2*5*5/2
=2.5*5/2
=2.5*2.5
=6.25 unit^2
Hope this helps ;) ❤❤❤
Answer:
The answer is B or 3 1/8
Step-by-step explanation:
What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)?
Answer:
(0, 3)
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(6 - 5) / (3 - 2)
1/1 = 1
Now, we can plug in the slope and a point into the equation y = mx + b to find b (y-intercept)
y = 1x + b
5 = (1)(2) + b
5 = 2 + b
3 = b
= (0, 3)
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
The anwser is C) C < 4
......... .
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
7(x+1)=21 solve for x
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r=0.989. Using alph=0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Correlation Coefficient (r) = 0.989
alph=0.05
Number of observations (n) = 8
determine if there is a linear correlation between chest size and weight.
Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.
What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.
r^2 = square of the correlation Coefficient
r^2 = 0.989^2 = 0.978121
Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.
15 points! I will give Brainliest and heart! Answer ASAP but with DETAIL, I need step - by - step, clear words, correct grammar. A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Hey there! I'm happy to help!
PART A
Let's look at our two equations.
y=3x-5
y=6x-8
We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.
We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.
6x-8=3x-5
We add 8 to both sides.
6x=3x+3
We subtract 3x from both sides.
3x=3
We divide both sides by 3.
x=1
We can plug this x-value into either of our equations to figure out what y is.
y=6(1)-8
y=6-8
y=-2
Therefore, our solution is x=1 and y= -2.
PART B
When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).
Have a wonderful day! :D
Answer:
see below
Step-by-step explanation:
y = 3x − 5
y = 6x − 8
I will use substitution by substituting for y in the first equation
y = 3x − 5
6x -8 = 3x-5
Subtract 3x from each side
6x-3x -8 = 3x-5-3x
3x-8 = -5
Add 8 to each side
3x-8+8 = -5+8
3x =3
Divide by 3
3x/3= 3/3
x =1
Now find y
y = 3x − 5
= 3(1) -5
=3-5
= -2
( 1,-2)
The two lines will intersect at ( 1,-2)
The solution to the two equations is where the lines intersect.
Factor x^4+xy^3+x^3+y^3 completely showing work.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]
Thank you
ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?
Answer:
m = 30 + 15
Step-by-step explanation:
The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:
m = 30 + 15
m = 45 miles
Please help me in finding the answer. Find x. (Congruent triangles)
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
Please answer these 3 questions for 70 points 1 thanks 5 stars and brainiest
Answer:
Step-by-step explanation:
Problem 14: Mean 5.5, Range: 5.8
Problem 15: question #1 4, mode: 63
Probelm 16: Median 63, Range: 8.3
Answer:
14: Mean is 5.5 Hours
Range is 7.9 Hours
15: 4 Numbers
Mode is 6.3
16: Median is 6.3
Range is 8.3
Step-by-step explanation:
(I'll edit in the explanations momentarily)
What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left
The vertical lines on each side of the x mean it is the absolute value of x.
Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.
The answer is B.
There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.
Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
To know more about functions follow
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At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
Round the distance to the nearest meter.
Answer:
113 meters
Step-by-step explanation:
113.47 rounded to the nearest meter is 113.
The distance of frisbee to the nearest meter will be equal to 113 meters.
What is a round of numbers?An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.
A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.
The distance to the nearest meter will be given as below:-
113.47 meters. = 113 meters.
Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.
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thing
Fill in the blank with the correct response.
The slope of the graph of y= 5x is
ao
Answer:
slope is 5
Step-by-step explanation:
y = 5x
This is in the form
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and the y intercept is 0
Which graph represents a function?
Answer:
The first one is the only function
Step-by-step explanation:
You cannot have points on the same y gridline
If it is a function is has to pass the pencil test
Answer:
[tex]\boxed{Graph A.}[/tex]
Step-by-step explanation:
Hey there!
Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.
Hope this helps :)
A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?
Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
Write a division sentence that describe how many dispensers can be filled if the cafeteria uses 1/6 of coffee to fill a large coffee dispenser if the cafeteria has 2/3 pounds of coffee to use
Answer:
2/3 ÷ 1/6
I hope this helps.
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?
Answer:
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Step-by-step explanation:
first see te interest :
A=prt (p is the deposited amount, r is the rate , t is the time)
A=734.62 *(2.6/100)* 7
A=133.70084
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Answer:
$868.32
Step-by-step explanation:
First you need to multiply 734.62 by 2.6%.
734.62 x 0.026 = 19.1
Then we need to multiply that by 7 (because 7 years).
19.1 x 7 = 133.7
Then add that to the initial deposit.
734.62 + 133.7 = 868.32
So after 7 years in a savings account your $734.62 would become $868.32.
David is buying a cheese wheel priced at 650 before tax. The store charges 8%, percent sales tax.
What is the total price, including tax, David pays for the cheese wheel?
Answer:
....the answer is 682.5
Answer:
The answer is 702. Hope it helped! :D
Step-by-step explanation:
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
The answer is A pls mark me brainly
When a fish is selected at random from a tank, the probability that it has a green tail is 0.36, the probability that it has red fins is 0.59, and the probability that it has both a green tail and red fins is 0.21. What is the probability that the selected fish will not have a red fin or a green tail?
Answer: 0.26
Step-by-step explanation:
As per given , we have
P(green tail) = 0.36
P(red fins) = 0.59
P(both a green tail and red fins ) = 0.21
Now, P(Neither red fin nor green tail )= 1 - P(either red fin or green tail )
[P(neither A nor B)= 1- P(either A or B)]
= 1-(P(green tail) +P(red fins)+P(both a green tail and red fins ))
[P(A or B)= P(A)+P(B)-P(A and B)]
= 1- (0.36+0.59-0.21)
= 1-(0.74)
= 0.26
Hence, the probability that the selected fish will not have a red fin or a green tail = 0.26
