Answer:
c and a
because 3k has to add up the an even number so k by it self can not be an even number, and k/2 would still be an odd number because an off number divided by a even number still makes it odd
If 3k is an even integer then k is an even integer, and k and k - 1 are also integers. However, k/2 cannot be assured to be an integer unless k is a multiple of 4, making it the correct answer for what cannot be an integer.
If 3k is an even number, then k must also be an even number because an even number divided by 3 still leaves k as an integer. So, we can infer that k is an integer.
The option k - 1 must also be an integer because if k is an integer, subtracting 1 from it will result in another integer. The option 3k is given as an even integer, to begin with. However, the option k/2 cannot be an integer unless k is not only even but also a multiple of 4, because when you divide an even number that is not a multiple of 4 by 2, the result is not an integer.
Given the information provided in the question, we can conclude that k/2 is the option that cannot definitely be an integer without additional information specifying that k is indeed a multiple of 4.
Which factor do 9x2 – 12x + 4 and 9x^2 – 4 have in common?
Answer:
3x-2
Step-by-step explanation:
[tex]9x^{2} -12x+4[/tex] can be factored using the perfect square rule into [tex](3x-2)^{2}[/tex]
and
[tex]9x^{2}-4[/tex] can be factored by using the difference of squares formula into [tex](3x+2)(3x-2)[/tex]
Both can be factored by (3x-2) so it is a common factor.
Hence, there are no common factors between the two equations.
What is a factor?factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
How to solve?given equation is [tex]9x^2-4[/tex]
solving for x,
[tex]9x^2=4\\x^2=\frac{9}{4} \\x=\frac{3}{2}, -\frac{3}{2}[/tex]
putting values of x in equation 1,
x = [tex]\frac{3}{2}[/tex],
[tex]\frac{81}{4}-12.\frac{3}{2}+4\\ \frac{25}{4}[/tex]Therefore, 3/2 is not a common factor
x=[tex]-\frac{3}{2}[/tex],
[tex]\frac{81}{4}+12.\frac{3}{2}+4\\ \frac{169}{4}[/tex]Therefore, -3/2 is not a common factor
Hence, there are no common factors between the two equations.
To learn more about factors: https://brainly.com/question/1892656
#SPJ2
Convert 93 pints to quart
Answer:
Step-by-step explanation:
There are 2 pints in one quart.
93 pints = 93/2 = 46 quarts and 1 pint left over.
Answer:
46.5 quarts
Step-by-step explanation:
There are 2 pints in 1 quart.
Hence,
93 pints 1 quart
------------ * ------------- = 46.5 quarts
1 2 pints
I Need Help Plz I’m Failingggg!!
Answer:
I believe it would be B
Step-by-step explanation:
take x and y values and figure it out what it is by itself
18-r=12
[tex]18 - r = 12[/tex]
Answer:
r = 6Step-by-step explanation:
18 - r = 12 subtract 18 from both sides
18 - 18 - r = 12 - 18
-r = -6 change the signs
r = 6
Check
18 - 6 = 12 CORRECT
Use the distributive property to evaluate 4(2x-1) when x=6 .
Answer:
44Step-by-step explanation:
The distributive property: a(b + c) = ab + ac
4(2x - 1) = (4)(2x) + (4)(-1) = 8x - 4
Put x = 6 to the expression:
8(6) - 4 = 48 - 4 = 44
The solution to the given expression is 44.
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
By applying the distributive property of multiplication to the given expression, we have:
4(2x - 1) = 4(2x) - 4(1)
4(2x - 1) = 8x - 4
when x = 6, we have;
8x - 4
8(6) - 4
48 - 4 = 44.
Read more on expression here: brainly.com/question/16729936
#SPJ6
A cube has side length 0.7 metres.
Work out the total surface area of the cube.
Give your answer in square centimetres
Answer:
2.94cm^2
Step-by-step explanation:
If you're referring to the mathswatch question, this gets you 2/3 :)
Solve the inequality. 1/3+x+2/9>5/6
Answer:
5⁄18 < x
Step-by-step explanation:
Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you 5⁄9 + x > ⅚. Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is x > 5⁄18. Although the answer is written in reverse, it is still the same concept.
I am joyous to assist you anytime.
If z is a standard normal variable, find the probability.
The probability that z lies between –1.10 and –0.36
0.4951
–0.2237
0.2237
0.2239
Answer:
0.2237
Step-by-step explanation:
Use the Table of Standard Normal Probabilities for Negative z-scores.
For z= -0.36 NORMSDIST(-0.36)=0.3594 (read value from the table)
For z= -1.10 NORMSDIST(-1.10)=0.1357 (value from the table)
You know P(-1.10<z<-0.36) = 0.3594-0.1357=0.2237
Please Help.
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p
Answer:
Expressing the distance from the shore by the time needed to reach that distance at an invariable speed of 4.2f/s then f=4.2 p
Answer:
f=4.2p
Step-by-step explanation:
What is solution to equation X-5/7=-3/7
Given that the first term and the common difference of an arithmetic progression are 6 and 3 respectively. Calculate the sum of all terms from 4th term to the 14th term.
Answer:
330
Step-by-step explanation:
Evaluate the sum of 14 terms and subtract the sum of the first 3 terms
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], so
[tex]S_{14}[/tex] = 7 [ (2 × 6) + (13 × 3)]
= 7(12 + 39) = 7 × 51 = 357
[tex]S_{3}[/tex] = 6 + 9 + 12 = 27
Sum of terms from 4 th to 14 th = 357 - 27 = 330
In which pair of triangles is Triangle EFG=Triangle RTS?
Answer:
The last picture or
The picture with 3 lines on EF and TR, 1 line one EG, 1 line on SR, 2 lines on ST and 2 lines on GF
Step-by-step explanation:
Since EF and RT have 3 lines and FG and TS have 2 lines, they are similar
Answer:
Last pair of triangles represent congruence.Step-by-step explanation:
If [tex]\triangle EFG \cong \triangle RTS[/tex], it can be deducted the following:
[tex]\angle E \cong \angle R\\\angle F \cong \angle T\\\angle G \cong \angle S[/tex]
Also,
[tex]EF \cong RT\\FG \cong TS\\EG \cong RS[/tex]
Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.
The given line passes through the points (0, -3) and (2, 3).
What is the equation, in point-slope form of the line that is
parallel to the given line and passes through the point
-1, - 1)?
y+1=3(x+1)
y+1=-=(x + 1)
-
532
v+1={(x+1)
y+1 =3(x+1)
Mark this and return
Save and Exit
S
Answer:
[tex]y+1=3(x+1)[/tex]
Step-by-step explanation:
Ok so we are looking for line parallel to the line containing points (0,-3) and (2,3).
Parallel lines have the same slope.
So let's find the slope of the line containing the points (0,-3) and (2,3).
You can use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
However, I just like to line up the points vertically and subtract them vertically, then put 2nd difference over 1st difference. Like this:
(0 , -3)
-(2 , 3)
-----------
-2 -6
So the slope is -6/-2 or just 3.
So the slope of the line we are looking for has slope 3 (or m=3) and your line should contain the point (-1,-1).
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point you know on the line.
So we just plug into that equation now. That gives us:
[tex]y-(-1)=3(x-(-1))[/tex]
Simplify a bit:
[tex]y+1=3(x+1)[/tex]
Answer:
The answer is: y+1=(3x+1)
Step-by-step explanation:
Find the value of x in the picture please
Answer:
Option D 74°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
The arcs that the outer angle encompasses are
254° and (360-254)=106°
therefore
∠x=(1/2)[254°-106°]
∠x=(1/2)[148°]
∠x=74°
What is the solution set of { x I x < -5} n { x I x> 5
For this case we have to:
[tex]x <-5:[/tex] Represents the solution of all strict minor numbers to -5.
[tex]x> 5:[/tex] Represents the solution of all strict major numbers to 5.
The global solution is given by the intersection of both sets. The symbol of intersection is denoted as: ∩
If we represent the solution in a numerical line, it gives us empty. do not intersect.
Answeer:
Empty set
Mixed 3 liters 20% solutions with 2 liters 70% solution. What’s the final concentration,
Answer:
(3×20%+2×70%)/3+2=40%
Step-by-step explanation:
Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.
Yet we can average the percentage of the active ingredient by the principle mentioned above
Answer:
The final concentration is 40%.
Step-by-step explanation:
Let x the concentration of final solution.
3 liters of solution (1) with 20% concentration is mixed with 2 liters of 70% solution producing (3 + 2) = 5 liters of x% mixture.
Now 3 × (20%) + 2 × (70% = 5 (x%)
3 × 0.2 + 2 × 0.7 = 5 (0.1x)
0.6 + 1.4 = 0.05x
2 = 0.5x
x = 2/0.05
= 40%
The final concentration is 40%.
Determine the theoretical probability of rolling a number larger than two and a standard 66 sided cube
Answer:
Required probability = 2/3
Step-by-step explanation:
When rolling a 6 sided die, the out comes are
1, 2, 3, 4, 5 and 6
Total number of outcomes = 6
To find the probability
The required outcome is a number greater than 2, therefore possible outcomes are,
3, 4, 5, and 6
Number of possible outcomes = 4
Required probability = 4/6 = 2/3
Answer:
Determine the theoretical probability of rolling a number larger than 2 on a standard 6-sided cube.
2/3
Step-by-step explanation:
If x= yand y = Z, which statement must be true?
Answer:
The answer is
B. x =>z
They all equal the same.
If a graph of y=-4x +2 were changed to a graph of y=-4x+5, how would the y- intercept change?
Answer:
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.
The y-intercept was (0,2) then it becomes (0,5) in the new line.
Step-by-step explanation:
The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.
Both of these equations given are in this form.
y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.
Since b=2 then the y-intercept is 2.
y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.
Since b=5 then the y-intercept is 5.
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.
Do you guys know the answer for 3 and 4
Answer:
Problem 3: H. 350 = r * 5
Problem 4: rate of speed = 70 miles per hour
Step-by-step explanation:
Problem 3:
speed = distance/time
Multiply both sides by time.
speed * time = distance/time * time
speed * time = distance
distance = speed * time
distance = 350
speed = r
times = 5
350 = r * 5
Answer: H. 350 = r * 5
Problem 4:
350 = r * 5
Divide both sides by 5.
350/5 = r * 5/5
70 = r
r = 7
rate of speed = 70 miles per hour
Answer:
H. 350 = r*5
Her average rate: 70 miles
Step-by-step explanation:
When finding average rate, you are always either multiplying or dividing so all the choices except for H, won't work.
Also, r represents the rate so its how many miles per hour. So you would multiply the miles per hour by the amount of hours you have.
So r*5.
To find her average you would solve for r in the equation.
So r*5 = 350
You would divide 5 by itself and then by 350, because whatever you do to one side of the equation, you do to the other.
So 5/5 = 1 or just r
350/5 = 70
r = 70
The isosceles triangle has a perimeter of 7.5 m which equation can be used to find the value of x if the shortest side, y measures 2.1 m ?
Answer:
7.5 = 2x + 2.1
Step-by-step explanation:
The perimeter of a triangle is the sum of the sides. In an isosceles triangle, two sides are the same length. If x is the length of the two sides and y is the length of the third side, then:
P = 2x + y
Given that P = 7.5 and y = 2.1:
7.5 = 2x + 2.1
Answer: The equation that can be used to find the value of x is
2x + 2.1 = 7.5
Step-by-step explanation: An isosceles triangle is a type of triangle which has two of its sides equal to each other. It also has two it's angles (the base angles) equal to each other.
From the question, the given triangle has the shortest side, y to be 2.1 m. This means side y is shorter than the other two sides. Hence, the other two sides must be the sides that are equal to each other. These other two sides are denoted by x ( see the attachment for an illustrative diagram).
The perimeter of a triangle is the sum of all its sides. Therefore, the perimeter (P) of the given triangle is
P = x + x + y
P = 2x + y
From the question, P = 7.5 m
and y = 2.1 m
Hence,
7.5 m = 2x + 2.1 m
2x + 2.1 m = 7.5 m
This equation can be used to find the value of x. The equation can also be written as:
2x = 7.5 m - 2.1m OR
x = (7.5 m - 2.1m) / 2
A set of equations is given below: equation C:y=5x+10 equation D:y=5x+2 which of the following best describes the solution to the given set of equations? One solution no solution two solutions infinitely many solutions
Answer:
The system has no solution
Step-by-step explanation:
we have
y=5x+10 -----> equation C
The slope of the equation C is m=5 and the y-intercept is b=10
y=5x+2 -----> equation D
The slope of the equation C is m=5 and the y-intercept is b=2
Remember that
If two lines are parallel, then their slopes are the same
Equation C and equation D are parallel lines with different y-intercept
therefore
The system has no solution (the lines do not intersect)
Ben has 9 pizza’s with 8 slices each. 59 were eaten. How many slices are left?
Answer:
13 slices.
Step-by-step explanation:
To find your total amount of slices at the start, multiply your pizzas by your slices.
[tex]9*8=72[/tex]
Next, find the difference between your total amount of slices and the amount of slices which have been eaten.
[tex]72-59=13[/tex]
13 slices are left.
A ball is released at a height of 27 inches to roll inside a half-cylinder. It rolls
to a height of 9 inches on the other side of the cylinder on roll 1. Each time it
rolls up a side of the cylinder, the ball reaches a point th
high as it
had reached on the other side.
This explicit formula models the height of the ball, in inches, the nth time it
rolls up a side of the cylinder.
How high does the ball roll on its 4th time up the cylinder's side?
Answer:
[tex]\frac{1}{3}\ in[/tex]
Step-by-step explanation:
we have
[tex]a(n)=9(\frac{1}{3})^{n-1}[/tex]
For n=4
substitute
[tex]a(4)=9(\frac{1}{3})^{4-1}[/tex]
[tex]a(4)=9(\frac{1}{3})^{3}[/tex]
[tex]a(4)=9(\frac{1}{27})[/tex]
[tex]a(4)=\frac{1}{3}\ in[/tex]
Answer:
1/3
Step-by-step explanation:
The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number
of calories that a teenager consumes throughout the day.
That as time ___________,
the total number of calories that a teenager consumes throughout the day
___________.
Blank A options:
Stays the same
Increases
Decreases
Blank B options:
Stays the same
Decreases
Increases
Answer:
Good question! The correct answer is a) increases and b) increases.
While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.
Answer:
a) increases and b) increases.
Step-by-step explanation:
Jimmy spent $121.60 on shirts. Tee shirts cost $9.10 and long sleeve shirts cost $14.20. If he bought a total of 10, how many of each kind did he buy? Please answer
What is the slope of a line that includes the points (-5, 1) and (-2, 3).
Select one:A.2/3 b.-2/7 c.-2/3 d.3/2
Answer:
A
Step-by-step explanation:
Work with the two points
Formula
m = (y2 - y1)/(x2 - x1)
Givens
y2 = 3
y1 = 1
x2 = - 2
x1 = - 5
Solution
m = (3 - 1) / (-2 - - 5)
m = 2 / (-2 + 5)
m = 2 / 3
Answer: A
Answer:
[tex]\large\boxed{\text{A.}\,2/3}[/tex]
Step-by-step explanation:
In this question ,we're trying to find the slope with the given points.
We would use the slope-formula to find the slope.
Slope-formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
We would plug in the numbers to their right spots in the formula. The second y-coordinate going to y2, the second x coordinate going to x2, and etc.
Your equation should look like this:
[tex]m=\frac{3-1}{-2-(-5)}[/tex]
Now we solve:
[tex]m=\frac{3-1}{-2-(-5)} \\\\m=\frac{2}{-2-(-5)}\\\\\text{Carry the negative over to the 5, turning it to a positive 5}\\\\m=\frac{2}{-2+5}\\\\\text{Add the denominators}\\\\m=\frac{2}{3}[/tex]
When you're done solving, you should get 2/3
This means that the slope is 2/3
I hope this helped you out.Good luck on your academics.Have a fantastic day!help pleaseeeee solve 3-x/2=>12
Answer:
x ≤-18
Step-by-step explanation:
3-x/2≥12
Subtract 3 from each side
3-3-x/2≥12-3
-x/2≥9
Multiply each side by -2 to clear the fraction. Remember to flip the inequality since we are multiplying by a negative
-3 * -x/2 ≤ -2 *9
x ≤-18
Answer:
x ≤ - 18
Step-by-step explanation:
Given
3 - [tex]\frac{x}{2}[/tex] ≥ 12
Multiply all terms by 2
6 - x ≥ 24 ( subtract 6 from both sides )
- x ≥ 18
Multiply both sides by - 1, remembering to reverse the sign as a consequence of multiply by a negative quantity.
x ≤ - 18
What is most likely the correlation coefficient for the set of data shown
Answer:
0.19
Step-by-step explanation:
A correlation coefficient is a measure of how well the line of best fit fits the data. The higher the correlation coefficient, up to 1.0 or -1.0, the better the fit. A positive correlation coefficient means an increasing data set, while a negative correlation coefficient means a decreasing data set.
We can see that this line of best fit is increasing, so our correlation coefficient will be positive.
However we can also see that the points are fairly scattered; this means this is not a very good fit. This means that 0.19 is the better fit.
A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.
a. 9.16
b. 12 units
c. 12.32 units
d. 14
e. 14.32
I NEED THE ANSWER ASAP!!
Answer:
option C
Step-by-step explanation:
We will call :
A=(-5, -1) B=(-2, -1) C=(-3, -4) D= (-3, -4)
Perimeter= 2*AB+2BC
Where AB= [tex]\sqrt{(-5+2)^{2} +(-1+1)^{2} } = \sqrt{9} =3\\[/tex]
BC =[tex]\sqrt{(-2+3)^{2} +(-1+4)^{2} } = \sqrt{10} =3.16\\[/tex]
So We have:
Perimeter=2*3+2*3.16= 12.32
Answer:
C.
Step-by-step explanation: