Answer:
(x - y) (x+y -1)
Step-by-step explanation:
See steps of factorization:
x² - y² - x + y =(x² - y²) - (x - y) = (x - y) (x + y) - (x- y) =(x - y) (x+y -1)A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.
Answer:
The correct option is;
A. Randomized block design
Step-by-step explanation:
A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.
In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.
Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He want them to be cut in equal sections that are as long as possible. Into what lengths should the rolls be cut?
Answer: Into 6 inches
Step-by-step explanation:
In this situation, the problem will be to find the greatest common factor of 18 and 30 because that is how you could divide them.
The GCF of 18 is 1,2,3,6,9, and 18
The GCF of 30 is 1,2,3,5,6,10,15 and 30
The greatest possible factor of both numbers is 6
Write the slope intercept form of the equation for the line.
Answer:
y = 2x -1
Step-by-step explanation:
y = mx + b
On the y-axis which is the vertical line, it touches the line is on -1.
Therefore, -1 is the y-intercept which is b.
y = mx - 1
Now the slope since it goes up 2 and right one to reach a point again the slope is 2/1 which basically just 2.
Now y = 2x - 1
I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
1,000,000= 10^6
10 times 10 is 100 (10^2)
10,000 times 10 is 100,000 (10^5)
f=d+e+f i need help solving this i have to solve for f
Answer:
You can't solve for f since f is eliminated from the equation.
Step-by-step explanation:
f = d + e + f
Subtract f from both sides.
0 = d + e
You can't solve for f since f is eliminated from the equation.
Rice weighing 3¾ pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
15/16
Step-by-step explanation:
3 3/4 divided by 4 = 15/16
A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle BAC measures 60°. A solid oblique pyramid has a regular hexagonal base with an area of 54 StartRoot 3 EndRoot centimeters squared and an edge length of 6 centimeters. Point B is the apex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle A B C is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid? 72StartRoot 3 EndRoot cm3 108StartRoot 3 EndRoot cm3 324 cm3 486 cm3
Answer: C. 324 cm∧3
Just took quiz.
Based on the calculations, the volume of this pyramid is equal to: D. 324 cm³.
Given the following data:
Base area = 54√3 cm².Edge length = 6 centimeters.Angle BAC = 60°.How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × base area × height
Next, we would find the height of this pyramid from the right-angled triangle ABC by applying Tan trigonometry formula:
Tanθ = Opp/Adj = BC/AC
Tan60 = height/6
√3 = height/6
Height = 6√3 cm.
Now, we can calculate the volume of this pyramid:
Volume = 1/3 × base area × height
Volume = 1/3 × 54√3 × 6√3
Volume = 1/3 × 972
Volume = 324 cm³.
Read more on pyramid here: brainly.com/question/16315790
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Write the sentence as an equation.
292 decreased by p is the same as 27
Type a slash (/)if you want to use a division sign.
Is 5 a rationl or a irratinal
I hope this helps! :)
5 is a rational number!
Pls mark as BRAINLIEST
5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]
♡ Hope this helps! ♡
❀ 0ranges ❀
Mike jogged 6 laps around a 0.25-mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined?
Answer:
3.25 miles
Step-by-step explanation:
Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.
|5+9-15)|= simplify the expression
Answer:
1
Step-by-step explanation:
Earl needs to fill juice cups for his little brother's birthday party. There are 25 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase? (2 points) (1 quart = 32 fluid ounces, 1 gallon = 4 quarts) 1 bottle 2 bottles 3 bottles 4 bottles
Answer:
3 bottles
Step-by-step explanation:
Hello!
First, we find out how many fluid ounces 25 cups of juice hold.
One cup holds 12 fluid ounces so to find 25 we do
25 * 12 = 300 fluid ounces
Next, we find out how many fluid ounces one gallon holds.
One gallon is 4 quarts.
1 quart is 32 fluid ounces so to find how many 4 holds we do
32 * 4 = 128
So one gallon holds 128 fluid ounces
To find how many we need we divide the total needed by how much one bottle holds
300/128 = 2.34
You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover
The answer is 3 bottles
Hope this helps!
ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37
You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Width(w) of rectangular paintball must be = 34 meters
Perimeter of atleast 140m but not more than 260 meters
Perimeter of a rectangle (p) : 2 (l + w)
P = 140
Then ;
140 = 2(l + 34)
140 = 2l + 68
140 - 68 = 2l
72 = 2l
l = 72/ 2 = 36 meters
P = 260
260 = 2(l + 34)
260 = 2l + 68
260 - 68 = 2l
192 = 2l
l = 192/ 2 = 96 meters
Hence the length must be between 36 meters and 96 meters
The interval z, for the length :
36 ≤ z ≤ 96
what is the approximate side length of a square game board with and area of 188 in. squared.
Answer:
Side length of a square game board is
11.916
inches.
Explanation:
If the area is
142
∈
2
, as area is square of side length of a square,
Side length is
√
142
=
11.916
inches.
Step-by-step explanation:
Answer:
13.7 inches
Step-by-step explanation
Area = base*height
(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)
Area of square = side length^2
(square root both sides of the equation, and you get the following)
[tex]\sqrt{Area\\}[/tex] = side length
(now, substitute the info)
[tex]\sqrt{188\\}[/tex] = x
(solve)
x = 13.7 inches
Diagram 2 shows a piece of rectangular card in grey colour
The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.
Form an equation, in terms of x and y, based on the statements above.
Solution:
we have given the length of the rectangular card-
[tex]x + 5 \: cm[/tex]
and, width-
[tex]7 \: cm[/tex]
now, the area of the card will be- length×width.
so, we have-
[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]
we also have given the length of ribbon-
[tex]7 \: cm[/tex]
and, width-
[tex]y \: cm[/tex]
so, area of the ribbon is-
length×width
[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]
now the area of shaded gray region will be-
[tex]7x + 35 - 7y[/tex]
Hence, the required expression would the above expression.
easy 10 points and brainliest :)
Answer:
y=0
Step-by-step explanation:
branliest
Answer:
2. Y=O
Step-by-step explanation:
I really don't have a good explanation but that's it
Round 15.97 to the nearest tenth,
Answer:
20
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Brainliest please!!!
please help me solve this problem!
Answer:
X=12
Step-by-step explanation:
According to the similarity theory of triangles
please help to be marked brainliest number is 13
Answer:
C. 7500
Step-by-step explanation:
We must simply find out what 25% of 30,000 is.
Multiply .25 by 30,000 which equals 7,500
Answer:
7500
Step-by-step explanation:
Let $a \bowtie b = a+\sqrt{b+\sqrt{b+\sqrt{b+...}}}$. If $7\bowtie g = 9$, find the value of
================================================
Work Shown:
[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]
After subtracting 7 from both sides.
Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.
This lets us say
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]
Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get
[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]
Since x is positive, this means we only focus on the first equation in the last line above.
Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.
[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]
As a check, we can do the following
[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]
we're slowly approaching 9
Answer: [tex]g = \boxed{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]
implies that
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].
Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]
the sum of 2 positive integers is 3. the sum of their squares is 5. find the 2 numbers
Answer:
2 and 1
Step-by-step explanation:
1 + 2 = 3
(1*1) + (2*2) = 5
Answer:
2 and 1
Step-by-step explanation:
just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1
now simpliy take the square of 1 and 2
1+4=5
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?
Answer:
[tex]Distance = 58\ feet[/tex]
Step-by-step explanation:
Represent the lure's difference with A and B;
[tex]A = 23\ feet[/tex]
[tex]B = 81\ feet[/tex]
Required
Determine the difference in depth between the lure's depth
The distance is calculated as follows;
[tex]Distance = B - A[/tex]
Substitute 23 feet for A and 81 feet for B
[tex]Distance = 81\ feet - 23\ feet[/tex]
[tex]Distance = 58\ feet[/tex]
Hence, the distance between both lure's is 58 feet
Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed
Answer: 29
Step-by-step explanation:
Given : Total people in the line = 35
Number of people behind Amy = 15
⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)
= 35-15-1
= 19
According to the question,
Number of people in front of Amy + Number of people behind Jed =24
⇒ 19 + Number of people behind Jed =24
⇒ Number of people behind Jed =24 -19 = 5
Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)
= 35-(5+1)
= 35-6=29
Hence, there are 29 people are in front of Jed.
Find the measure of KM¯¯¯¯¯¯¯¯¯¯. A. 9 B. 10 C. 14 D. 12
Answer:
B. 10
Step-by-step explanation:
By the property of intersecting secants outside of a circle:
MN*MA = ML*MK
(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)
(x - 4) (x - 1) = (x - 5) (x + 1)
[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]
[tex] - 5x + 4= - 4x - 5[/tex]
[tex] 5 + 4= 5x - 4x [/tex]
[tex] 9 = x [/tex]
KM = x - 5 + 6 = 9 - 5 + 6 = 10
3x to the power of 2 +6x=0 what is the degree of this polynomial?
Answer:
[tex]\huge\boxed{2}[/tex]
Step-by-step explanation:
Given Polynomial is:
[tex]3x^2 + 6x = 0[/tex]
Degree of polynomial is the highest power on the variable.
Here 2 is the highest power on the variable, So, it is the degree of polynomial.
The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?
Answer:
36º
Step-by-step explanation:
Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.
2x + 5x + 6x + 7x = 360
20x = 360
x = 18
18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.
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Answer:
36
Step-by-step explanation:
The four angles of a quadrilateral add to 360
2:5:6:7
Multiply by x
2x:5x:6x:7x
Add them together to get 360
2x+5x+6x+7x = 360
20x = 360
Divide each side by 20
20x/20 = 360/20
x =18
The smallest angle is 2x
2*18 = 36
what are the next 2 terms in the sequence? 1,4,13,40,121
Answer:
364, 1093
Step-by-step explanation:
Please Help ! Will give brainliest
Answer:
There is a probability of 0 that the student plays both string and brass.
Step-by-step explanation:
Looking at the universal set, there are 40 students at this high school, 15 of which play string, 20 play brass, and 5 play neither (probably drummers). Note how there is no intersection of A and B, which is the probability we are looking for.
Since there is no intersection in the universal set between subset A and subset B, you can say that there is a probability of 0 since there is no overlap between the two subsets.
Cheers.
Multiple choice algebra question
Answer:
Vertical translation of 4 units.
Step-by-step explanation:
If you add 4 to y, you would move up 4 because the y axis is vertical.
Graph the inverse of the provided graph on the accompanying set of axes. You must
plot at least 5 points.
Answer:
*See attached image for the 5 points on the graph*
Step-by-step explanation:
Step 1: Find 5 points to calculate inverse
We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)
Step 2: Find the inverse
You find the inverse when you swap the 'x' and 'y' so it would be
Vertex: (-4,-1)
y-intercept 1:(-3,0)
y-intercept 2:(-5,0)
Point 1: (-2,3)
Point 2: (-6,3)
Step 3: Graph
Graph the points on a graph and connect the points
The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].
See attachment for the inverse graph.
From the given graph, we have the following 5 points.
[tex](x_1,y_1) = (8,-1)[/tex]
[tex](x_2,y_2) = (3,-2)[/tex]
[tex](x_3,y_3) = (-1,-4)[/tex]
[tex](x_4,y_4) = (3,-6)[/tex]
[tex](x_5,y_5) = (8,-7)[/tex]
Reflect the above points across [tex]y = x[/tex], to get the inverse function
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (-2,3)[/tex]
[tex](x_3,y_3) = (-4,-1)[/tex]
[tex](x_4,y_4) = (-6,3)[/tex]
[tex](x_5,y_5) = (-7,8)[/tex]
The inverse graph must pass through the above points
See attachment for the inverse graph
Read more about inverse graphs at:
https://brainly.com/question/11033643