A) 3/20 would be the answer
What is the product?
1st pic is the problem
the rest are the answer choices
For this case we must find the product of the following expression:
[tex](y ^ 2 + 3y + 7) (8y ^ 2 + y + 1)[/tex]
We apply distributive property, which states that:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
So:[tex](y ^ 2 + 3y + 7) (8y ^ 2 + y + 1) =\\(y ^ 2) (8y ^ 2) + (y ^ 2) (y) + (y ^ 2) (1) + (3y) (8y ^ 2) + (3y) (y) + (3y) (1 ) + (7) (8y ^ 2) + (7) (y) + (7) (1) =\\8y ^ 4 + y ^ 3 + y ^ 2 + 24y ^ 3 + 3y ^ 2 + 3y + 56y ^ 2 + 7y + 7 =[/tex]
We add similar terms:
[tex]8y ^ 4 + 25y ^ 3 + 60y ^ 2 + 10y + 7[/tex]
Answer:
Option D
in algebra a word that means something has been added
Combined?? The sum of ?
Addends is the word in algebra that means something has been added. Addition is an operation to solve the algebraic problems.
What is algebra?Algebra is a field of mathematics that solves problems by substituting letters for numbers.
Addends refer to the numbers that are being added in an addition issue. An addend is a group of numbers that are added together to generate a sum.
Hence, addends is the word in algebra that means something has been added.
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When solving the equation 3n^2 - 15n = 3 by completing the square what is your first step? Options are in the picture.
[tex]c. \: add \: 15n \: from \: each \: side.[/tex]
The width of a photograph is 4 inches. Tori measures its width using the two rulers, both of which measure in inches.
Which statement is true about the accuracy and precision of the rulers?
A The measurement found using Ruler 1 is more accurate and more precise.
B The measurement found using Ruler 2 is more accurate and more precise.
C The measurement found using Ruler 1 is more accurate but less precise.
D The measurement found using Ruler 1 is more precise but less accurate.
Answer:
a
Step-by-step explanation:
plato answer
Answer:
B The measurement found using Ruler 2 is more accurate and more precise.
Step-by-step explanation:
We have to understand the concept here for accuracy and precision.
Accuracy is against some standard. So it is the measured value which is closely against a standard. Accuracy is less if the measured value is deviated from the standard.
Precision is about how closely individually measured values agree with each other. Precision doesn't concern with the standard value.
Now, third concept is significant numbers. It is up to how much decimal numbers an instrument can produce a result.
In ruler 2, you can see that there are more divisions for a whole inch. This means that the ruler 2 can measure more nearly to the standard value, as well as, for repeated measurements, it can give more precised figures due to the ability to read up to more decimal numbers after the decimal point.
Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?
Answer:
x² + 9x + 8 = 0
Step-by-step explanation:
A quadratic equation is expressed this way: ax² + bx + c = 0
So, so find the quadratic equivalent of (x + 2)² + 5(x + 2) – 6 = 0, we just have to do the multiplications then simplify.
(x + 2)² + 5(x + 2) – 6 = (x² + 4x + 4) + (5x + 10) - 6
After merging the terms of same degree, we get:
x² + 9x + 8 = 0
Answer:
C
Step-by-step explanation:
u2 + 5u – 6 = 0 where u = (x + 2)
ED 2021
WILL GIVE BRAINLIEST
20 POINTS
Answer:
60
Step-by-step explanation:
If you do 25% + 6 * 10 , it gives you 62.5 and you round that and it's 60.
Answer:
60
Step-by-step explanation:
25% + 6 * 10
=62.5
round 62.5
=60.
Give brainliest plz :'D
The graph below represents which system of inequalities?
A) y ≤ −2x + 3
y ≤ x + 3
B) y ≥ −2x + 3
y ≥ x + 3
C) y ≤ −3x + 2
y ≤ −x + 2
D) y > −2x + 3
y > x + 3
Answer:
Step-by-step explanation:
Both lines have y-intersects y=3. So, it can be A,B or D
Both lines are solid, so it could be A, or B.
The colored areas are under the line, that means that signs will be ≤.
So, answer is A.
Im more of a algebra man myself.
Angle A= 60
You add angles A and D together and set them equal to 180 because opposite sides in a parallelagram =180. Then you solve for x and get 30 and you should then plug in 30 to angle A and get 60.
Compare the graph !!! PLEASE HELP!!!!!!
Answer:
5 times shorter
Step-by-step explanation:
The period is the time it takes for one cycle to complete, or in this case, one breath. Since person A is breathing 5 times faster, the time per breath is 5 times shorter.
If Social Security takes 6.2 percent and Medicare takes 1.45 percent of your paycheck, how much would you have left on a $475 monthly salary?
$448.67
$438.66
$428.65
$418.64
Answer:
$438.66
Step-by-step explanation:
The total percent taken is:
6.2% + 1.45% = 7.65%
7.65% of the paycheck is taken.
The total paycheck is 100% of the paycheck. Since 7.65% of the paycheck is taken, and 100% - 7.65% = 92.35%, then 92.35% of the paycheck is left.
Now we find 92.35% of $475.
To find a percent of a number, multiply the percent by the number and divide by 100.
92.35 * $475/100 = $438.66
Answer: $438.66
$438.66 , because 6.2+1.45=7.65 and then 100-7.65=92.35 and then you turn that into a percentage which would be 92.35% in decimal form would be .9235 which is the portion you’ll receive from your paycheck so you multiply that by $475 and you will get your final answer of $438.66
The population of a town can be modeled by the regression equation y = 18,000(1.04x). Which is the best prediction for the population in year 30?
A. 39,440
B. 58,381
C. 68,298
D. 68,298
Answer:
Hence correct choice is B. 58,381
Step-by-step explanation:
Given equation is [tex]y=18000(1.04)^x[/tex].
There x represents number of years. We need to find about which is the best prediction for the population in year 30.
To find that we will plug x=30 into above formula and simplify
[tex]y=18000(1.04)^x[/tex]
[tex]y=18000(1.04)^{30}[/tex]
[tex]y=18000(3.24339751003)[/tex]
[tex]y=58381.1551805[/tex]
Which is approx 58381
Hence correct choice is B. 58,381.
Which transformations had to occur for the blue triangle to become the purple triangle? [Note: All rotations are about origin] A) rotated 180° then translated down 3 units and left 2 units B) reflected over x-axis and then rotated 90° clockwise C) translated down two units and rotated 90° counter-clockwise D) rotated 90° clockwise then translated down 3 units and left 2 units
Answer:
It's D.
Step-by-step explanation:
The figure is rotated 90 degrees clockwise then translated down 3 units and left 2 units.
The blue triangle becomes the purple triangle by rotating 90° clockwise then translated down 3 units and left 2 units, so, option D is correct.
What is translation?A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.
Given:
The blue triangle becomes the purple triangle in the graph,
All rotations are about the origin,
The Clockwise motion, also known as CW, moves from top to bottom, then down and left, and then back to top in the same manner as a clock's hands.
As you can see, The blue triangle is firstly rotated at 90° clockwise and then translated 3 units in the down y-axis and 2 units in the left x-axis.
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Carmen has saved 80% of the money she needs to buy a new video game if she has a 36 how much does the video game cost
The video game costs $45. Look at the image to see what I did
How many cups are in a 16 lb bag?
How many cups are in a 22 lb bag?
Answer:
16lb=30
22=88
Step-by-step explanation:
Answer:
16 lb = 64 cups
22 lb = 88 cups
What is the ratio for the surface Areas of the rectangular prism’s shown below given that they are similar and that the ratio of the edge Lengths is 8:5
Answer:
[tex] \frac{ {8}^{2} }{ {5}^{2} } = \frac{64}{25} [/tex]
B) 64:25
Step-by-step explanation:
Ratio of Lengths = a/b
Ratio of Areas = a^2/b^2
Ratio of Volumes = a^3/b^3
PLEASE HELP!!! NEED ANSWERS TO THESE QUESTIONS..
Answer:
12. Option A is correct
13. Option A is correct
14. Option C is correct
15. Option D is correct
16. Option A is correct
Step-by-step explanation:
12) Lowest Common Denominator of
[tex]\frac{p+3}{p^2+7p+10} \,\, and \,\, \frac{p+5}{p^2+5p+6}[/tex]
We should find the factors of denominators and then find the LCM of the denominators.Finding LCD is same as finding LCM.
Factors of p^2+7p+10 = p^2 +2p +5p+10 = p(p+2)+5(p+2) = (p+5)(p+2)
Factors of p^2+5p+6 = p^2+2p+3p+6 = p(p+2)+3(p+2) = (p+3) (p+2)
Now, rewriting the above equation with factors and finding the LCM
[tex]\frac{p+3}{(p+5)(p+2)} \,\, and \,\, \frac{p+5}{(p+3)(p+2)}\\[/tex]
LCM of (p+5)(p+2) and (p+3)(p+2) = (p+5)(p+3)(p+2)
The LCD is (p+5)(p+3)(p+2).
So, Option A is correct.
13. Divide
[tex]\frac{40x}{64y} \,\,by\,\, \frac{5x}{8y}[/tex]
by stands for division. The equation can be written as:
[tex]\frac{40x}{64y}\div\frac{5x}{8y}[/tex]
Division sign changed into multiplication, we take reciprocal of second term i.e,
[tex]\frac{40x}{64y}*\frac{8y}{5x}\\\\Solving\\\frac{40x*8y}{64y*5x}\\\\\frac{320xy}{320xy} \\\\1[/tex]
So, Option A is correct.
14. Simplify:
[tex]\frac{x+2}{x^2-6x-16} \div \frac{1}{9x} \\[/tex]
Factors of x^2-6x-16= x^2 -8x +2x -16 = x(x-8)+2(x-8) = (x-8)(x+2)
Putting factors in the above equation and changing division sign with multiplication we get,
[tex]\frac{x+2}{(x-8)(x+2)} * \frac{9x}{1}\\\frac{9x}{x-8}[/tex]
So, Option C is correct.
15. Simplify
[tex]\frac{4}{\frac{1}{4}-\frac{5}{2}}[/tex]
Solving denominator,
Taking LCM of 4 and 2 and subtracting we get
[tex]\frac{4}{\frac{1-(5*2)}{4}}\\\frac{4}{\frac{1-10}{4}}\\\frac{4}{\frac{-9}{4}}\\\frac{4*4}{-9}\\\frac{16}{-9} \,\,or\,\,\\\frac{-16}{9}[/tex]
Option D is correct.
16. Simplify:
[tex]\frac{7x+42}{x^2+13x+42}[/tex]
Making factors of x^2+13x+42= x^2 +6x+7x+42 = x(x+6)+7(x+6) = (x+7)(x+6)
Taking 7 common from numerator and putting factors in denominator we get,
[tex]\frac{7(x+6)}{(x+7)(x+6)}\\\\Cancelling\,\, x+6 \,\, from\,\, numerator \,\, and\,\, \\\\\frac{7}{(x+7)}[/tex]
Option A is correct.
Which of these numbers are irrational?
17
, 0,
8
,
22
7
,
81
,
14
A)
17
,
14
B)
8
,
14
C)
17
,
22
7
,
14
D)
17
,
8
,
14
Answer:
its A
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THIS PROBLEM? WILL GIVE BRAINLEIST!!!
Use an equation to find the percent. Round answer to the nearest tenth. What percent of 84 is 50?
A.86.5%
B.74%
C.59.5%
D.168%
the answer is c) 59.5
Answer:
D because 84 of 50 is 168...
solutions:
84:50*100 =
(84*100):50 =
8400:50 = 168
Two quantities, and are directly proportional. If were tripled, what would happen to ? CLEAR CHECK It would be multiplied by 6. It would be multiplied by 13 . It would depend on the starting value of . It would be tripled. NEXT Reference calculator formulas glossary CLOSE Language ENGLISH CLOSE
Answer:
you are correct
Step-by-step explanation:
p.s the way you worded this was confusing
Write the quadratic function in the form f(x)=a(x-h)^2+k
Then, give the vertex of its graph.
f(x)=2x^2-20x+51
Answer:
hello : h =5 and K= 1
Step-by-step explanation:
look this solution :
As per the given quadratic function, the value of the vertex of the graph is written as (5, 1)
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants, and a ≠ 0. However, the given quadratic function is already expressed in the desired form, f(x) = a(x - h)² + k, which is known as vertex form. In this form, (h, k) represents the coordinates of the vertex of the parabola.
Now, let's rewrite the given quadratic function f(x) = 2x² - 20x + 51 in the vertex form. To achieve this, we'll complete the square:
Step 1: Factor out the leading coefficient 'a' from the x² and x terms. f(x) = 2(x² - 10x) + 51
Step 2: Complete the square inside the parentheses by adding and subtracting the square of half of the coefficient of the x-term (in this case, -10/2 = -5, and (-5)² = 25). f(x) = 2(x² - 10x + 25 - 25) + 51
Step 3: Group the perfect square trinomial and the constant term inside the parentheses. f(x) = 2((x - 5)² - 25) + 51
Step 4: Distribute the leading coefficient 'a' back into the parentheses. f(x) = 2(x - 5)² - 50 + 51
Step 5: Combine the constants. f(x) = 2(x - 5)² + 1
Now, the quadratic function is in the form f(x) = a(x - h)² + k, where a = 2, h = 5, and k = 1.
Therefore, the vertex of the parabola is (h, k) = (5, 1).
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What is the cost of a TV whose original price was $499 but is now on sale for 20% off?
Answer:
$99.80
Step-by-step explanation:
499 * 0.20 = 99.8
499 / 0.20 = 99.8, then you would do this; 499 - 99.8 = 399.2... $399.20 is the sale price of the TV!
Fifty percent of the gases making up the atmosphere are found below ________. 10 miles (16.2 km) 6 â½ miles (10.4 km) 3 â½ miles (5.6 km) 8 miles (12.8 km)
Answer:
im not sure what this means
Step-by-step explanation:
Answer:
5.6 kilometers gradpoint
Step-by-step explanation:
i took the test
Are the two triangles similar? If so, state the reason and the similarity statement.
A. Impossible to determine.
B. The triangles aren't similar.
C. Yes; SSS; ΔAYM ∼ ΔEDC
D. Yes; SAS; ΔAYM ∼ ΔEDC
Answer:
D. would be your answer
Step-by-step explanation:
Yes, the triangles ΔAYM ∼ ΔEDC by SSS criterion of similarity.
What is similarity of triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar.
What is SSS similarity of triangles?The two triangles are similar if the three sides of one triangle are proportional to the three sides of the other.
According to SSS criterion of similarity:
CE / AM = ED / AY = CD / MY
3 / 6 = 4 / 8 = 5 / 10
1/2 = 1/2 = 1/2
Hence ΔAYM and ΔEDC are similar by SSS criterion of similarity.
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which of the following best describes the shape of the slice of pizza shown in the figure?
Answer:
Option D. A sector
Step-by-step explanation:
we know that
A circular sector is the portion of the circle enclosed by two radii and an arc
so
In this problem we have a slice of the pizza enclosed by two radii and an arc
therefore
The shape of the slice is a sector
Answer:
Option C is correct: A Sector
Step-by-step explanation:
A-p-e-x :)
what percent of 480 is 160?
Answer:
33.333...
Step-by-step explanation:
First of all we put the 160/480 and further divide each of which to be simplified by the simplified version
Then we must find the decimal which is 33.333 recurring.
If require further assistance ask me.
Hope this helps and enlightens your day. Enjoy
33.33
hope i helped
have a good day
A number generator was used to simulate the percentage of students in a town who enjoy playing video games. The process simulates randomly selecting 100 students from the town and was repeated 20 times. The percentage of students who play video games is shown in the dot plot. Which statement is true about the student population of the town?
Answer:
Most likely, 60% to 75% of the students in the town play video games.
Step-by-step explanation:
Of the 20 samples taken, ...
1 is in the range 40%–50%4 are in the range 50%–60%18 are in the range 60%–75%1 is in the range 80%–90%Most of the samples fall in the range 60%–75%, so we have to conclude that it is most likely that the fraction of students who play video games is in that range.
write a trinomial whose terms have a GCF of 2
(2x + 6x + 4) All you need to find is numbers that can all be divided by 2.
To write a trinomial with a GCF of 2, start by factoring out the GCF from each term. For example, the trinomial 4x^2 + 6xy + 8y^2 can be factored as 2(2x^2 + 3xy + 4y^2).
Explanation:A trinomial is an algebraic expression with three terms. The greatest common factor (GCF) is the largest factor that all the terms share. To write a trinomial with a GCF of 2, we can start by factoring out the GCF from each term. Let's say the original trinomial is:
4x^2 + 6xy + 8y^2
The GCF of the trinomial can be found by listing the factors of each term and selecting the highest common factor. In this case, the factors of 4x^2 are 2 and 2x^2, the factors of 6xy are 2, 3, x, and y, and the factors of 8y^2 are 2^3 and y^2. The highest common factor is 2, so we can factor out 2 from each term:
2(2x^2 + 3xy + 4y^2)
This is a trinomial with a GCF of 2.
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Triangle ABC is similar to triangle DEF . The length of AC is 10 cm. The length of BC is 15 cm. The length of DF is 6 cm.
What is the length of EF?
12
6
10
9
Answer:
9 cm
Step-by-step explanation:
Side lengths of similar triangles are proportional. BC is 1.5 times the length of AC, so EF will be 1.5 times the length of DF:
1.5·6 cm = 9 cm
Round 4.432 to the nearest tenth.
Answer:
4.4
Step-by-step explanation:
The tenth place in this number is 4.432, so that should be the last digit.
Now, we need to know wether to round up or down. That is determined by the digit that comes after it. If that digit, here it is the hundredth, is 0-4, it rounds down, if it is 5-9, it rounds up. Our next digit is 3, which goes into the first category, so the number rounds down, so the tenth remains the same. That leaves us with 4.4.
Answer:
4.4
Step-by-step explanation:
The tenth decimal place is one to the left of the decimal. The hundreth decimal places is two digits to the right and so on an so forth. Knowing this, you apply the basic rules of rouding. If the digit to the left of the digit being rounded is greater than five, the digit is rounded up one and the others are discarded. In this case, the digit to the left of the digit in subject is less than five, 3. Therefore, the tenth decimal stays the same and the others are discarded.
What is the median of the following data set -1000, -999, 1998, ..., -1, 0, 1, ..., 998, 999, 1000
A. 1000
B. 1
C. 0
D. 2000
Answer:
The correct answer option is C. 0.
Step-by-step explanation:
We are given the following data set and we are to find its median value:
[tex] - 1 0 0 0 , - 9 9 9 , 1 9 9 8 , ... , -1 , 0 , 1 , ... , 9 9 8 , 9 9 9 , 1 0 0 0 [/tex]
Median is the middle value of a data set which divides it into to halves.
The data set we have starts from -1000 and goes till 1000 which means there are total 2001 elements in it.
Therefore, 0 will the middle value which is the median for this data set.
Answer:
C) 0
Step-by-step explanation:
Median is the middle value of a data set which divides it into to halves.
So then 0 will the middle value which is the median for this data set.
0 is the in the middle.