Answer:
Step-by-step explanation:
product of two consecutive numbers is always even.
n(n+1)
case 1
if n is odd,let n=2k+1,where k is an integer
n+1=2k+1+1=2k+2=2(k+1)
n(n+1)=(2k+1)[2(k+1)]=2(2k+1)(k+1)=even number.
case 2
if n is even,let n=2m,where m is an integer.
n+1=2m+1
n(n+1)=2m(2m+1)=even integer.
so in both cases n(n+1) is even.
What is one way to compare fractions with unlike denominators? include an example to support your reasoning
Answer:
Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).
Step-by-step explanation:
hope this helps
which linear inequality is represented by the graph?
Answer:
B. y ≥ 1/3 x - 1
Step-by-step explanation:
y = mx + b
b = - 1,
m = rise/ run = 1/3
y = 1/3 x - 1 is equation of the line.
Shading is over the line, so
y ≥ 1/3 x - 1
What is the ratio for the fraction: 16/25? Is it 16:25?
Not too sure if that’s the right answer.
Answer:
16 to 25 or 16/25 or 16:25
Step-by-step explanation:
which choices are equivalent to the expression below? Check all that apply.
3√6
Answer:
[tex] \sqrt 54[/tex]
[tex] \sqrt 9.\sqrt 6[/tex]
[tex] \sqrt {27}.\sqrt 2 [/tex]
Step-by-step explanation:
[tex]3 \sqrt{6} = \sqrt{ {3}^{2} \times 6 } = \sqrt{9 \times 6} = \sqrt{54} \\ [/tex]
Also,
[tex] \sqrt 9.\sqrt 6[/tex]
&
[tex] \sqrt {27}.\sqrt 2 [/tex]
The right options are option B,D and F
Look at the attached picture
Hope it will help you
Good luck on your assignment
Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.
Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum
Answer:
The answer is option B.
Hope this helps.
Answer:
B
Step-by-step explanation:
In what form is the following linear equation written?
v-3={(x - 1)
O A. Standard
O B. Point-slope
O C. Rise-run
O D. Slope-intercept
Answer:
B
Step-by-step explanation:
Point slope is in the form
(y - y1) = m(x - x1)
where x1 and y1 are the coordinate of any point on the line, and m is the slope
The others do not work
Answer:
B.
Step-by-step explanation:
This is the point-slope form:
y - y1 = m(x - 1) where m = the slope.
Looks like you have a typo in your equation.
the lunch lady has 5 pounds of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she make?
Answer:
20 servings
Step-by-step explanation:
Four quarters per pound
5(4)=20
Answer:
she can make 20 servings
Step-by-step explanation:
Help, What is the answer?
Answer:
probably jay z albulm 4:44
Step-by-step explanation:
Help me please I don’t understand
Answer:
14/11
Step-by-step explanation:
A rational number times a rational number is rational
A rational number is written as a/b
14/11 * 1/2 = 7/11
This is rational
1. Two people share £350 in the ratio 1:6.
Calculate each share.
£..........£
______________________________
Let the shares be X and 6x
X+6x=350
or,7x=350
or,X=350/7
X=50
Replacing value,
6x=6*50=300
So one person gets $ 50
Another person gets$300
Hope it helps
Good luck on your assignment
___________________________
Answer:
1/7 x 350 = £ 50
6/7 x 350 = £ 300
Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses One-fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?
Answer:
60 - 1/4x = 24
Step-by-step explanation:
Do I always simplify a question before doing the operations? For example, do I always simplify a fraction before doing the operations?
For example for this question:
(8-4√2) /2 + ( 6+4√2)/ 2
I had to simplify the fraction by factoring, cancelling and then do the operation or I got it wrong.
Answer:
see below
Step-by-step explanation:
it will be easier to do calculations later if you simplify first
in this case you did the best and shortest way
you could rewrite
(8-4√2) /2 + ( 6+4√2)/ 2 as
4-2[tex]\sqrt{2}[/tex] + 3 + 2[tex]\sqrt{2}[/tex] and then 7 + 4[tex]\sqrt2[/tex]
Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals
Answer:
x = 3 and x = 3
Step-by-step explanation:
The given equation is
2x² - 12x + 18 = 0
Divide both sides by 2:
x² - 6x + 9 = 0
We need two numbers that will add up to -6 and their product is 9.
The two numbers are -3 and -3.
=> x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3)(x - 3) = 0
x = 3 and x = 3
HELP QUICK
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. The length of the garden is ? feet.
Answer:
84ft
Step-by-step explanation:
w = 2/3(L)
if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet
perimeter = 2L + 2W
but W=2/3(L)
therefore, perimeter = 2L + 2(2/3L)
P= 2L + 4/3(L)
P= 10/3(L)
but P= 280
therefore 280= 10/3(L)
L = (3×280)÷10
L= 84 feet
What's the common difference of the following arithmetic sequence?
11, 17, 23, 29, 35, 41
A) 6
B) 5
C) 7
D) 8
Answer:
Step-by-step explanation:
6
Take the higher number and subtract the next lower value. It will tell you the difference.
17-11=6
Answer:
A) 6
Step-by-step explanation:
11+6=1717+6=2323+6=2929+6=3535+6=41Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on a 15- and 30- year mortgage. What is the difference in the two monthly payments.
a) 509.68
b) 365.75
c) 402.58
d) 231.87
five less than 2 times a number is equal to the sum of the number and 3. What is the number?
Answer:
Value of Number = 8
Step-by-step explanation:
Consider the equation below;
[tex]If x - " A Number " -\\( 2 * x ) - 5 = x + 3,\\[/tex]
Now using this equation let us solve for x;
[tex]( 2 * x ) - 5 = x + 3 - Take ( 2 * x ) - 2x,\\2x - 5 = x + 3 - Add 5 on Either Side,\\2x = x + 8 - Subtract x From Either Side,\\\\x = 8, ( Solution )\\\\Conclusion ; x = 8[/tex]
Knowing this, we can say;
[tex]Value of Number = 8,\\if x - Value of Number ( Given ),\\\\Solution ; Value of Number = 8[/tex]
The value of unknown number x will be 8.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given a statement as;
"five less than 2 times a number is equal to the sum of the number and 3"
Let the unknown number be x.
So, from the given statement,
2x- 5 = x + 3
Subtract x on both sides;
2x- 5 = x + 3
2x- 5 -x = x + 3 - x
x - 5 = 3
Add 5 on both sides;
x - 5 = 3
x = 8
Therefore, the value of unknown number x will be 8.
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10. Solve for y in the equation -y + 9 = 23.
A.y=-14
B.y = 14
O C. y = 32
D.y=-32
Answer:
A. y = -14
Step-by-step explanation:
Subtract 9 from its self and from 23 in order to isolate -y
-y + 9 = 23
- 9 -9
0 14
-y is now Isolated.
-y = 14
Generally, when you have a letter representing a number by itself such as -y, it is indicated that therecis always a 1, example -y = -1y, x = 1x, however 3y does not equal 13y or 31y. 3y already has a number in front of it so therefore, there is no need to include the number 1 in front of y.
Because -y is the same as -1y, that is a multiplation representation. -y is the same as -1 x y so the next step is to isolate y from -1. In order to do that, you will need to divide -1 by 1 and 14 by 1. (Remember, (-) (-) = + and (-) (+) = - and (+) (+) = +.)
-y = 14
-1 -1
y = -14
What is the range of the function represented by the graph? A. 1 ≤ y ≤ 6 B. all real numbers C. y ≥ 1 D. y ≤ 1
Answer:
C!
Step-by-step explanation:
So, it's actually very simple!
If you don't know, the domain of a function is the set of x-values that make the equation true. The range, which we are trying to find, is the set of f(x), or y values that are possible.
Now, notice how in the graph, y-values don't go below 1. So there is our limit. There is nothing else limiting the y-values the other way, so its basically a single equality.
y=1 is included in the function, of course, as it goes on y=1.
So, it's [tex]y\geq 1[/tex]
Hope this helps!
Answer:
C
Step-by-step explanation:
the guy above me is right because i got a 100% on my test.
What is the length of L
Answer:
Assuming the height is still 1 your answer would be 700
Step-by-step explanation:
I NEED HELP QUICK!!
6 in group A saw results, 7 in group B saw results, 5 in group C saw results, 4 in group D saw results.
Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
Part 2:
What is the probability that a person saw results, given the received the power pill? What is the probability that a person saw results, given they received a placebo? Explain in terms of study.
Part 3:
What is the probability that a person received the placebo, given they did not see results? What is the probability that a person received the power pill, given that they did not see results? Explain in terms of the study.
Answer:
1) Each group is composed of 10 people. They either saw results or don't saw results.
saw results no results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10
Total 22 18 40
Probability of a group seeing results:
Group A: 6/10 = 0.6
Group B: 7/10 = 0.7
Group C: 5/10 = 0.5
Group D: 4/10 = 0.4
Probability of a group not seeing results:
Group A: 4/10 = 0.4
Group B: 3/10 = 0.3
Group C: 5/10 = 0.5
Group D: 6/10 = 0.6
2) Groups A and B received the Power Pill.
What is the probability that a person saw results, given they received the power pill?
(6+7)/20 = 0.65
Groups C and D received the placebo.
What is the probability that a person saw results, given they received a placebo?
(5+4)/20 = 0.45
3) What is the probability that a person received the placebo, given they did not see results?
(5+6)/18 = 0.61
What is the probability that a person received the power pill, given that they did not see results?
(3+4)/18 = 0.39
Answer:
Results
No Results
Totals
Group A
6
4
10
Group B
7
3
10
Group C
5
5
10
Group D
4
6
10
Totals
22
18
40
Using the data above, please calculate each probability:
The probability for Group A to see results ___15%___.
The probability for Group A to see no result___10%____.
The probability for Group B to see results __17.5%____.
The probability for Group B to see no result___7.5%____.
The probability for Group C to see results ___12.5%___.
The probability for Group C to see no result___12.5%____.
The probability for Group D to see results ___10%___.
The probability for Group D to see no result___15%____.
TASK 2 Part 2
What is the probability that a person saw results given they received the power pill? __65%____
What is the probability that a person saw results given they received the placebo? ___45%___
Show your work and explain in terms of the study using the data from Part 1
The probability that a person saw results and a power pill is 65%. The probability that the person was given the placebo and saw results is 45%. 65% of the people that were given the pill saw results, and 45% did not.
TASK 2 Part 3
What is the probability that a person received the placebo given that they did not see results?
61.111111%
What is the probability that a person received the power pill given that they did not see results?
38.88888%
Show your work and explain in terms of the study using the data from Part 1
PB- (5+6)/18 = 0.61 x 100
PP- (3+4)/18 = 0.38 x 100
Step-by-step explanation:
Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.
The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.
List the classes from least to greatest.
Answer:
308, 398, 421, 433, 570
Step-by-step explanation:
To start we know the smallest is 308 cans, so that is the first class.
Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.
Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.
After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.
Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.
Least to greatest:
308
398
421
433
570
Level 1
R.18 Identify equivalent linear expressions II KAR
Select the expressions that are equivalent to -7(75 + 1).
75-7
7(-75 + 1)
-7(-5 + 8 + 1)
-7s - 49
Which ordered pair is generated from the equation shown below?
y = 3x + 2
O A) (3, 11)
OB) (3,9)
OC) (5, 15)
OD (2,4)
Answer:
A
Step-by-step explanation:
let's try A. 3(3)+2=9+2=11
11=11
So A is right
PLEASE HELP WILL GIVE BRAINLIEST
Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Answer:
1000 seconds
Step-by-step explanation:
You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!
A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep. What is the approximate number of cubic feet of potting soil that he will need to fill the planter?
2.79 ft3
6.28 ft3
16.75 ft3
401.92 ft3
He will require 2.79 cubic feet of potting soil to fill the planter, which is a rough estimate.
What is the Volume of the Cylinder?The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to πr²h cubic units.
Given, A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep.
From the general formula of volume of cylinder = πr²h cubic units
in our case
r = 16 / 2 = 8 inches
Since 1 feet = 12 inches
r = = 8/12 feet = 2/3 feet
h = 2 feet
The volume of platter = π * 2/3 * 2/3 *2
The volume of the platter = 2.79 ft³
Therefore, the approximate number of cubic feet of potting soil that he will need to fill the planter is 2.79 ft³.
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A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost
Answer:
7,5 kg = 19,20.
Step-by-step explanation:
19,20/7,5
= 2,56 $
(2,56 * 7,5 =19,20)
Which of the following exponential functions represents the graph below?
Answer:
the graph corresponds to function "D" [tex]f(x)=3\,(\frac{1}{5} )^x[/tex]
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
[tex]f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5[/tex]
while function D at x = 0 gives:
[tex]f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3[/tex]
Therefore, the graph corresponds to function "D"
A correct option is an option (d)
From the given graph the function is increasing, therefore the base of the exponent must be greater than 1
And the best suited is the first, as it passes through the point,
y = 3
If you substitute x = 0 in the function result you have to give,
y = 3 and intersect the y-axis at that point
So, the required function is [tex]f(x)=3\times (\frac{1}{5} )^x[/tex]
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What is the Lowest Common Denominator between 3/5 and x/x+2
Answer:
Step-by-step explanation:
Denominators are 5 and ( x+2)
As there is no common factors, to find the lowest common denominator multiply them
LCD = 5*(x +2)
What is the length of the hypotenuse of the triangles
Square of 94cm
Square of 161cm
17cm
23cm
Answer:
To find the Hypotenuse the Pythagoras theorem is used
h² = a² + b²
h = hypotenuse
a = 15cm
b = 8cm
h = ?
h² = 15² + 8²
h = √225 + 64
h = √289
h = 17cm
The Hypotenuse is 17cm
Hope this helps.