Answer:
GCF(2y²z , 8yz²) = 2yz
Step-by-step explanation:
2y²z = (2yz) × y
8yz² = (2yz) × 4z
then
GCF(2y²z , 8yz²) = 2yz
Here are pairs of equivalent expressions, one in standard form and the other in factored form. Find
the missing numbers.
1. x2 +
+
and (x – 9) (x - 3)
2. 22 – 9x + 20 and (x – 4) (x +
The first equation will be x²-12x+27=(x-9)(x-3). The second equation will be x²-9x+20=(x-5)(x-4).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. For the first equation to be complete, we need to expand the factors, therefore, we can write,
(x-9)(x-3)
= x² - 9x - 3x + 27
=x²-12x+27
Hence, the first equation will be x²-12x+27=(x-9)(x-3).
2. For the second equation to be complete, we need to factorise the left side of the equation, therefore, we can write,
x²-9x+2
= x²-5x-4x+20
= x(x-5)-4(x-5)
=(x-5)(x-4)
Hence, the second equation will be x²-9x+20=(x-5)(x-4).
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Answer:
Step-by-step explanation:
lern it yourself
If a polynomial has three terms, x2 12x 36, which factoring method can be considered? perfect-square trinomial difference of squares sum of cubes difference of cubes
The best factoring method that can be considered for the polynomial is (a) perfect-square trinomial
How to determine the factoring method?The polynomial is given as:
x² + 12x + 36
The above polynomial has three terms,
This means that the sum or the difference of cubes and squares cannot be applied (because it has more than two terms)
Hence, the best factoring method that can be considered for the polynomial is (a) perfect-square trinomial
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Answer:
A
Step-by-step explanation:
Got it right on Edge 1922
A bucket can hold a total of 5 gallons. If the bucket is 45% full, how much water is in the bucket?
The question is an illustration of volume, and the amount of water in the bucket at 45% full is 2.25 gallons
How to determine the amount of water?The capacity of the bucket is given as:
Bucket = 5 gallons
At 45% full, we have:
Capacity = 45% * 5 gallons
Evaluate the product
Capacity = 2.25 gallons
Hence, the amount of water in the bucket at 45% full is 2.25 gallons
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A game has a spinner with 8 equal- sized sections. The results of 450 spins are shown in the table. Part Frequency 1 58 2 52 3 39 4 77 5 50 6 43 7 60 8 71
For which number is the experimental probability closest to the theoretical probability
Using it's concept, it is found that the experimental probability is closest to the theoretical probability for number 1.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The theoretical probability is calculated before any experiments, while the experimental probability is calculated after experiments.
Considering that the sections are equal-sized, the expected frequency for each section is given by:
Ef = 450/8 = 56.25.
The closest frequency to 56.25 is of 58, associated with number 1, which is the one that has the closest probabilities.
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what is 123456x123456
Answer:
Well if you really want to know, it's 15241383936.
Hope this helps
Hi I really need help on 4 pls help
Answer:
a. Draw a column for each ticket sold. (For 0-9, draw a bar upto 2. For 10-19, draw a bar upto 4. For 20-29, draw a bar upto 3. And for 30-39, draw a bar upto 1.
b. 10 students sold tickets
c. 40% of students sold 20 or more tickets
Answer:
a) attached image below
b) 10 studentssold tickets
c) 40% of students sold 20 or more tickets
Step-by-step explanation:
good job on number 3 !
Hope this helps, let me know if you have any questions :)
PLS HELP WILL GIVE BRAINLYEST!!! WHOEVER ANSWERS IN THE NEXT 2 HRS WILL GET 100 PTS.
(08.05;08.06 HC)
The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:
A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 37.5 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
Answer:
it shows that the least amount is 37.5 minutes it shows the most amount of time is 60 minutes one thing it does not show is how many students where in the class
Step-by-step explanation:
Answer:
this is for A Part A: it shows that the least amount is 37.5 minutes
it shows the most amount of time is 60 minutes
one thing it does not show is how many students where in the class
Step-by-step explanation:
Well, you need to know the aton mic weight of Platinum (Pt) and the number of atoms per mole. The answer to the former is 195.084 g/mole and the latter is 6.023 * 10^23 atoms/mole. Then, multiply everything as shown below:
Number of atoms = (1 g) * (1/195.084 g/mole) * 6.023 * 10^23 atoms/mole
Number of atoms = 3.087 * 10^21 atoms
Note, I’ve included units on everything and you can see that they all cancel except for atoms. Dragging the units along can be a pain but it is a great way to check that they way the numbers are being combined is
(06.04)
Determine the solution to the system of equations graphed below and explain
your reasoning in complete sentences.
WILL MARK BRAINLIEST
PLEASE ANSWER!!
A quadratic function is shown on the graph.
A. Write an equation to represent the function in vertex form.
B. Write an equation to represent the function in standard form.
Answer:
see explanation
Step-by-step explanation:
A
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (1, - 4 ) , then
y = a(x - 1)² - 4
to find a substitute the coordinates of any other point on the graph into the equation.
using (0, - 3 )
- 3 = a(0 - 1)² - 4 ( add 4 to both sides )
1 = a(- 1)² = a ⇒ a = 1
y = (x - 1)² - 4 ← in vertex form
B
the equation of a quadratic in standard form is
y = ax² + bx + c ( a ≠ 0 )
using the result from A
y = (x - 1)² - 4 ← expand the factor using FOIL
= x² - 2x + 1 - 4
y = x² - 2x - 3 ← in standard form
How much times is 1,700,000,000 greater than 400,000,000
Answer:
4.25(Divided) or 1,300,000,000(subtracted)
Find if line M is a tangent line to circle B.
Answer:
No
Step-by-step explanation:
The tangent line must form a right angle with the radius
No, 4 5 6 isn't a right triangle
Answer:
Line m is not a tangent line to circle B.
Step-by-step explanation:
The tangent line to a circle is always perpendicular to the radius.
The line segment measuring 4 units is the radius of Circle B, therefore if line m is a tangent line to the circle, the angle between this segment and the segment measuring 5 units will be a right angle (90°).
We can use Pythagoras' Theorem to check if the triangle is a right triangle.
Pythagoras’ Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Therefore, the legs are the line segments measuring 4 and 5, and the hypotenuse is the line segment measuring 6 units.
Substituting the values for the legs into the formula:
[tex]\implies 4^2+5^2=c^2[/tex]
[tex]\implies 16+25=c^2[/tex]
[tex]\implies 41=c^2[/tex]
[tex]\implies c=\sqrt{41}[/tex]
Therefore, as the hypotenuse of the triangle is not √41, the triangle is not a right triangle, and therefore line m is not a tangent line to circle B.
Which is a reasonable conclusion from the information presented in the bar graph? A. Germany won the fewest number of Olympic medals in the Summer Games of 2004. B. Russia won the most number of Olympic medals in the Summer Games of 2004. C. Australia won 20 Olympic medals in the Summer Games of 2004. D. Australia won more Olympic medals than the United States in the Summer Games of 2004.
It's really hard to see on the graph but the answer should be A. Germany won the fewest number of Olympic medals in the Summer Games of 2004.
If you read the other options, it doesn't make sense at all so through the process of elimination, A is the answer.
Answer:
A.Germany won the fewest number of Olympic medals in the Summer Games of 2004.
Step-by-step explanation:
because i took the quiz
(Help me pls as soon as possible this is due today!!!)
1. There are 20 goldfish and 30 minnows in the pond. What is the ratio of minnows to goldfish?
2. There are 15 quarters and 10 dimes in the jar. What is the ratio of quarters to dimes?
3. There are 50 stamps and 60 envelopes. What is the ratio of envelopes to stamps?
4. The store has 60 goggles and 20 flippers. What is the ratio of flippers to goggles?
5. The scale of a dinosaur mural is 1 foot for every 30 feet. If you want to draw a 90-foot dinosaur, how many feet long must it be?
6. Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?
1) 3:2
2) 3:2
3) 6:5
4)1:3
5) 3 feet
6) 56 correct answers
in 1965, the population of country A was 2 714 000. in 2015 the population was 3 663 900. write the population in 2015 correct to 3 significant figures?
BEST ANSWER :
(iv) a) 3.66 × 10^6
b) 2.714 × 10^6
(iii) 35%.
by question known :
(i) a) 3663900 = 3.6639 × 10^6
= 3.66 × 10^6
{ keep three significant digit }
b) 2714000 = 2.714 × 10^6
(iii) (3663900 - 2714000) ÷ 2714000 × 100%
= 949900 = 2714000 × 100%
= 0.35 × 100%
=35%
.°. the percentage increase in the population from 1965 to 2015 is 35%
Help me with this please giving brainlist
Answer: 6 pounds is the mode
Step-by-step explanation: 6 is the most common number
Marcia is using the rule “Heart, Star, Star to make a repeating pattern. she wants the pattern to repeat 6 times. How many stars will be in Marcia’s pattern?
If the repeating pattern is “Heart, Star, Star". Then the number of the stars is 12 in Marcia's pattern.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
Marcia is using the rule “Heart, Star, Star to make a repeating pattern. she wants the pattern to repeat 6 times.
Then the number of the stars will be
→ 6 × 2
→ 12
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i need helpppppp!!!!
Answer:
The first one
Step-by-step explanation:
neritic zone, shallow marine environment extending from mean low water down to 200-metre (660-foot) depths, generally corresponding to the continental shelf. Neritic waters are penetrated by varying amounts of sunlight, which permits photosynthesis by both planktonic and bottom-dwelling organisms.
The measure of AB is 126º. What is the measure of ABC, the tangent- chord angle?
Ans: B 63 degree
Step-by-step explanation:
Chord
to find the chord
1/2 or either 0.5
0.5 x 126 = 63
Mark me as Brainliest
Ty , hope it helped
Answer:
B
Step-by-step explanation:
is is correct 63 degrees , Hope this helps !!
Given F(-7,8), G(-4,6), H(1,3), and
I(x,9). Find x such that FG I HI.
Answer:
(8,-4), (3,X)
Step-by-step explanation:
Joe has a cube shaped box that needs to be filled with packaging material If the length of one side 2 feet, then what is the volume of the box?
The tire's diameter is 1 meter, and it made 8000 rotations during the trip. How far did the bus travel?
The circumference of the tire = pi x diameter = 3.14 x 1 = 3.14 meters
every rotation the tire travels 3.14 meters
3.14 x 8000 = 25120 meters
1 kilometer = 1000 meters
25,120 meters /100 = 25.12 kilometers
answer: 25.12 kilometers
Find the length of XV for Rectangle WXYZ.
PLEASE HELP!!!!
Answer: 20.5
Step-by-step explanation:
In an archery competition, each archer shoots 3 arrows at a target. An archer’s score is calculated by measuring each arrow’s distance from the center of the target and finding the mean. One archer has a mean distance of 1.6 inches and a MAD of 1.3 inches in the first round. In the second round, this same archer’s arrows are farther from the center but more consistent. What values for the mean and MAD would fit this description for the second round?
Answer:
Mean: 3 Mad: 1/3
Step-by-step explanation:
First we need to find out the numbers, so to get a mean of 3 we have to get to 9 ebcause there are 3 arrows.
We have to make sure that the arrows are not too close to the centerYou can have decimals2nd: Once you find the numbers which are 2.5, 3, and 3.5 you add them together and divide it by 3 to get 3 the mean
3rd: Find the MAD but adding .5 and .5 to get 1 then divide it by 3 and you get 1/3 as the MAD.
Hope this helps!
The archer's mean distance in the second round is 1.6 inches and the MAD is 0.83 inches.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Let's first recall that MAD stands for Mean Absolute Deviation, which is a measure of the variability of a set of data.
The MAD is calculated by taking the absolute value of the difference between each data point and the mean, and then finding the average of those absolute values.
Let the mean distance of the archer's arrows in the second round be m, and let the MAD be d.
In the first round, the archer's mean distance was 1.6 inches and the MAD was 1.3 inches.
This means that the absolute difference between each arrow's distance from the mean was, on average, 1.3 inches.
In the second round, the archer's arrows were farther from the center, so we expect the mean distance to be larger than 1.6 inches.
However, the arrows were more consistent, so we expect the MAD to be smaller than 1.3 inches.
To find the new value for the mean distance, we can use the fact that the sum of the distances from the mean is equal to zero. This means that:
3(m - mean) = 0
Solving for m, we get:
m = mean
Therefore, the mean distance in the second round is equal to the mean distance in the first round, which is 1.6 inches.
To find the new value for the MAD, we can use the fact that the variance (the square of the standard deviation) is equal to the average of the squared differences between each data point and the mean.
This means that:
Var = (1/3)(d²)
Since the arrows in the second round are more consistent, we expect the variance to be smaller than in the first round.
Therefore, we can set the new variance to be some fraction f of the old variance, and solve for the new value of d:
f(Var) = (1/3)(d²)
d² = 3f(Var)
d = √(3f(Var))
We don't know the exact value of f, but we do know that it is less than 1 since the variance is decreasing.
Let's assume that f = 0.5 for simplicity.
Using this value of f and the given values for the mean and MAD in the first round, we get:
Var = (1/3)(1.3³) = 0.56
d = sqrt(30.50.56) = 0.83
Therefore,
The archer's mean distance in the second round is 1.6 inches and the MAD is 0.83 inches.
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Find the equation of the line that passes through the points (12, 9) and (2,7)
Answer:
see photo below for analysis
Step-by-step explanation:
HELP ME PLS IM THIS CLOSE TO LOOSING ALL OF MY SANITY
Answer:
INSPIRING
Step-by-step explanation:
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse. And if the sides satisfy the Pythagorean theorem, it is a right triangle.
please help!! hurry! thank you
Answer:
108 degrees
Hope this helps!!
what is the opposite of -26? how many units away from 0 is its location on a horizontal number line,and in which direction ?
White the equation of the circle with center -7,4 and diameter 12
Answer: (x -4)^2 +(y -7)^2 = 36
Step-by-step explanation: The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
Whats 793861 x 672540 =
Help pls
Answer:
533903276940
Step-by-step explanation:
easy
Answer:
533,903,276,940
Step-by-step explanation:
Have a nice day/night!
Help please!!
I can’t figure this out
Check the picture below.
so the prism is a "right square" prism, namely it has only right-angles and two of its faces are a square, namely the front and back. We know it has a surface are of 220 cm², so let's check what the width "w" is first.
[tex]\stackrel{\textit{\huge surface area}}{\stackrel{\textit{front and back}}{2(5)(5)}~~ + ~~\stackrel{\textit{left and right}}{2(5)(w)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5)(w)}}~~ = ~~\stackrel{cm^2}{\textit{\Large 220}} \\\\\\ 50~~ + ~~10w~~ + ~~10w~~ = ~~220\implies 50+20w=220\implies 20w=170 \\\\\\ w=\cfrac{170}{20}\implies w=\cfrac{17}{2} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\huge volume}}{\stackrel{length}{(5)}~~\stackrel{height}{(5)}~~\stackrel{width}{\left( \cfrac{17}{2}\right)}}\implies \cfrac{425}{2}\implies 212.5[/tex]
