Given the expression:
[tex]16p^4+4p^3[/tex]The GCF of p^4 and p^3 = p^3
And the greatest common factor of 16 and 4 = 4
so,
[tex]\begin{gathered} \frac{16p^4}{4p^3}=4p \\ \\ \frac{4p^3}{4p^3}=1 \end{gathered}[/tex]So, the factors of the given expression will be:
[tex]16p^4+4p^3=4p^3(4p+1)[/tex]Eight less than four times a number is less than 56. What are the possible values of that number?
0 x>12
0 x<12
O
x<18
O x>16
The expression of the possible values of the number is x < 16
How to determine the possible values of the number?The statement is given as
Eight less than four times a number is less than 56.
Rewrite the statement as an expression
So, we have
4 * number - 8 is less than 56
Represent the number with x
So, we have
4 * x - 8 is less than 56
This gives
4 * x - 8 < 56
Add 8 to all sides
4 * x < 64
Divide both sides by 4
So, we have
x < 16
Hence, the number is all numbers less than 16
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Find the 50th term of
6, 12, 18, 24,...
arrange the following interest rates in a ending order: 3.4%, 3.039%, 3 3/16%, 3.499%, 3 1/2%
Answer:
3.039%, 3 3/16%, 3.4%, 3.499%, 3 1/2%.
Step-by-step explanation:
First convert to them all decimal fractions:
= 3.4, 3.039, 3.1875, 3.499, 3.5
so, the answer is
3.039, 3.1875, 3.4, 3.499, 3.5
Help me out giving points to right answers
Answer:
-10 and -5 is the answer of that question
Rayan bought 3 2/3 lb of apples to make
some apple pies. What is the weight of the
apples written as a decimal?
Answer:
3.66 lb
Step-by-step explanation:
2/3=0.666
3+0.66=3.66
La hipotenusa de un triángulo rectángulo mide 3 cm y uno de sus catetos mide 2 cm.
Encuentra la medida de la otra pierna.
The value of the missing length √5
What Pythagoras Theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given,
Hypotenuse = 3cm
One side = 2cm
Let the one side given be Base
Then, base = 2cm
Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle
By Pythagoras Theorem:
H² = P² + B²
If we have to find perpendicular then,
P² = H² - B²
or,
P = √H² - B²
Putting the values we get,
P = √(3)² - (2)²
P = √(9 - 4)
P = √(5)
P = √5
Hence, The missing length of the triangle is √5
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MP Reason Abstractly Determine if the
following statement is true or false. Explain.
When the percent of change is a decrease,
the original amount will be greater than the
new amount. (how do you solve this??)
equation to represent the relationship
x 18 12 21 27
y 6 4 7 9
The equation which represent the relationship between x and y is x = 3y.
Given that:-
x 18 12 21 27
y 6 4 7 9
We can see that,
When x = 18, y = 6
Hence, 18 = 3*6
Hence,
x = 3y
Similarly,
When x = 12, y = 4
Hence, 12 = 3*4
Hence,
x = 3y
When x = 21, y = 7
Hence, 21 = 3*7
Hence,
x = 3y
When x = 27, y = 9
Hence, 27 = 3*9
Hence,
x = 3y
Hence, by observing all the data given in the question, we can say that,
x = 3y
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Use De Morgans law to write a statement that is equivalent to the following statement
Note that the two De Morgan laws are:
[tex]\begin{gathered} (P\lor Q)^C=\text{ P}^C\wedge Q^C \\ (P\wedge Q)^C=P^C\lor Q^C \end{gathered}[/tex]For the statement
[tex]-(p\lor q)[/tex]The equivavent statement if De Morgan law is applied will be:
[tex]-p\wedge-q[/tex]Soup is 3 cans for $1.70 so each can of soup is $0.5667. how much does it cost for one can?
One can is $|___|
If the cost of 3 cans is $1.70 then the cost of one can will be $0.5667.
Given that the cost of 3 cans is $1.70.
We are required to find the cost of 1 can.
Cost is the amount of expenditure that we spend on purchase or manufacture a product.
Cost of 3 cans=$1.70
To find the cost of 1 can ,we have to find the average costs which is total costs divided by number of cans.
Cost of 1 can=1.70/3
=$0.566666
=$0.5667
Hence if the cost of 3 cans is $1.70 then the cost of one can will be $0.5667.
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36, 27,
81
4
Find the 10th term.
a_{10} = \frac{177147}{65536} is solution of arithmetic progression (AP).
What is arithmetic progression (AP) in math?
The difference between any two consecutive numbers in an arithmetic progression (AP) is always a fixed amount.The AP cost per invoice is calculated by dividing the total number of invoices paid over a certain time period by all the expenditures incurred to pay those invoices over that same time period. An accurate assessment of a company's AP efficiency can be made using this metric in conjunction with other accounts payable measures.Write the general term through the pattern [tex]a_{n} = 36( \frac{3}{4} )^{n-1}[/tex]
Substitute and calculate [tex]a_{10} = \frac{177147}{65536}[/tex]
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There are 221 students on a field trip 5 students ride in a van the rest of the students fill 6 buses enter an equation that can be solved to find the number of students
AJ, this is the solution to the exercise:
Applying one of the exponents property, we have:
(2^2t
The amount that a charter boat captain charges a group to go deep-sea fishing is shown. If the group tips the captain 17%, what is the total amount that the captain receives for the fishing trip?
The total amount that the captain receives for the fishing trip=850+17 percent $994.5
What is the percentage?
The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.Amount charged =$850
tip from the group=17 percent
The total amount that the captain receives for the fishing trip=850+17 percent 850
=850+(0.17X850)
=$994.5
The total amount that the captain receives for the fishing trip=850+17 percent $994.5
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Find the slope from the following graph....
Answer:
b is correct.
Step-by-step explanation:
Starting at (-2, -3), go 4 units up and then 5 units to the right. You will end up at (3, 1).
Make x the subject of m=n+x/p
Step-by-step explanation:
m = n + x/p
to make x the subject means to transform this into an equation, where we have x alone on one side being expressed by the other terms.
e.g.
x = ...
remember, when we change one side of an equation, we have to do the same thing to the other side as well. otherwise the equation relation is broken. it is like a balance that we need to keep in balance.
so,
m = n + x/p | subtract n from both sides
m - n = x/p | multiply both sides by p
(m - n)p = x
or
x = (m - n)p
because it is an essential property of an equation relation that
a = b means that also b = a
At the beginning of the day the stock market
goes down 70 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up
110 1/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer: Lets say the stock (before it goes down 70 1/2 points) is worth 100 points after dropping 70 1/2 points it would be at 29 1/2 points then it would go up 110 1/4 points bringing it to 139 3/4 so the total change would be 39.75 or 39 3/4
Step-by-step explanation:
Polina has some juice pouches that each contain 7 fluid ounces of juice. write an equation that relates the number of juice pouches (p) to the total volume of juice (j) in fluid ounces
Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.
Given that,
Each of Polina's juice pouches holds 7 fluid ounces of juice.
We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.
The equation is p=7j
p-7j=0
Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.
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A rectangular sheet of paper is folded at the corner. Find the value of x.
Value of x is 66°.
Define angle.Based on measurement, there are many kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Given Data
A rectangular sheet of paper is folded at the corner.
Right triangles characterize both the folded-over region and its void. In the bottom left corner, there is a right angle that is marked at 33 degrees. Thus,
180-(33+90)
= 180-123
= 57° is what is left.
The angles in the triangle that has been folded over are the same.
To the left of x, there are two angles that meet at a straight angle. The sum of all right angles is 180 degrees. The 57° measure is shared by the two angles that make up the straight angle with x. This results in:
180-(57+57)
= 180-114
= 66°
Value of x is 66°.
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solve this problem -2(w + 6) + 5w
Evaluate x² + 2x – 1 when x =
a) 0
b) -2
c) 4
Answer:
Substitute respective values of x into the equation.
a) When x = 0,
(0)² + 2(0) - 1 = -1
Ans: -1
b) When x = -2,
(-2)² + 2(-2) -1 = 4 + (-4) - 1
= - 1
Ans: -1
c) When x = 4,
(4)² + 2(4) - 1 = 16 + 8 - 1
= 23
Ans: 23
6) Stacey is making trail mix. She has ½ cups of raisins, ¼ cups of peanuts, and ½ cups
of m&ms.
A) When these ingredients are mixed together, how many cups of trail mix will she
have?
B) Stacey was to double the recipe. How much of each will she have?
A) When these ingredients are mixed together, Stacy will have 1 ¼ cups of trail mix.
B) if Stacy was to double the ingredients she will have 2 cups of raisins, ½ cups of peanuts and 2 cups of m&ms.
What is fraction?fraction: A number in mathematics represented as a quotient, where the numerator and denominator are divided. In a fundamental fraction, both are integers. A complex fraction has a fraction in either the numerator or the denominator. The numerator of a proper fraction is less than the denominator.
Lets add all the ingredients
1/2 + 1/4 + 1/2
= (2+2+1)/4
= 5/4
= 1 ¼ cups
A) When these ingredients are mixed together, she will have 1 ¼ cups of trail mix.
B) If the recipe is doubled, that is
⇒ ½ cups of raisins × 2
= 2 cups of raisins
⇒ ¼ cups of peanuts × 2
= ½ cups of peanuts
⇒ ½ cups of m&ms × 2
= 2 cups of m&ms
Thus, if Stacy was to double the ingredients she will have 2 cups of raisins, ½ cups of peanuts and 2 cups of m&ms.
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Please, please, please, answer asap please I need this to be done now...thank you so, so, so much to whoever does. (50 points)
help please timedt:
In an independent random sample of 10 juniors and 10 seniors, the number of minutes spent on social media per day are given by the back-to-back stem-and-leaf plots.
Time Spent on Social Media
junior senior
2 11
5 1 12 3
5 4 2 13
8 14
6 15
16 6
17 25
18 36
5 19 147
0 20 1
Key: 12|5 = 125
Part A: Describe the shape of each data set. (4 points)
Part B: Wyatt analyzed the data and stated that the better measure of center for the seniors is the mean. Is Wyatt correct? Explain your reasoning. (5 points)
Part C: Wyatt decided there are no outliers in the juniors' data set. Is he correct? Justify your answer mathematically. (5 points)
Considering the given stem-and-leaf plot for the distribution, it is found that:
a. The shape of each data-set is:
Juniors: Right-skewed.Seniors: Left-skewed.b. Due to the skewed distribution, the best measure is the median, and Wyatt is not correct.
c. Since all the values are within 1.5IQR of the first and of the third quartile, there are no outliers in the distribution and Wyatt is correct.
Stem-and-leaf plotThe plot lists all the measures in the data-set, following the format of the key, as follows:
4|5 = 45.
Hence, the Junior measures are:
112, 121, 125, 132, 134, 135, 146, 156, 195, 200.
The Senior measures are:
123, 166, 172, 175, 183, 186, 191, 194, 197, 201.
To classify the shape of the distribution, we need to find the mean and the median.
For the Juniors, these measures are given as follows:
Mean: 145.6.Median: 134.5.As the mean is greater than the median, the distribution is skewed to the right.
For the Seniors, these measures are given as follows:
Mean: 178.8.Median: 184.5.As the median is greater than the mean, the distribution is skewed to the left.
For item b, in skewed distributions we should use the median as the measure of center, hence Wyatt is not correct.
For item c, the quartiles of the Junior's data-set is given by:
Q1: 123.Q3: 175.5.Hence the interquartile range IQR is given by:
175.5 - 123 = 52.5.
Then the bounds of non-outlier values are given by:
123 - 1.5 x 52.5 = 44.25.123 + 1.5 x 52.5 = 201.75.All the measures are in this range, hence there are no outliers.
What is the missing information?The plot is given by the image at the end of the answer.
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) Find x when f(x) = g(7).
the cost of a long-distance phone call is $ 0.39 for the first minute and $ 0.28 for each additional minute. if the total charge for a long-distance call is $ 5.71 , how many minutes was the call?
(b) If the lines y = x + 1 and x + y = 7 intersect at C, find the coordinates of C.
Answer:
C ( 3 , 4 )
Step-by-step explanation:
The perimeter of the triangle below is 89 units. Find the length of side BC.
Write your answer without variables.
Answer:
BC = 10 units
Step-by-step explanation:
Perimeter of triangle:Perimeter = Sum of all sides
y + 1 + 4y + 5y - 2 = 89 units
y + 4y + 5y + 1 - 2 = 89
Combine like terms,
10y - 1 = 89
Add 1 to both sides,
10y = 89 + 1
10y = 90
Divide both sides by 10,
y = 90 ÷ 10
y = 9 units
BC = y + 1
= 9 + 1
= 10 units
Can anyone show me how to find Arithmetic Sequences?
Indian cricket team won 4 more matches than it lost with NewZealand. If it won 3/5 of its matches
,how many matches did India play?
As per the unitary method, the number of matches did India play is 20.
Unitary method:
Unitary method is the method in which we first find the value of a unit quantity and then use it to find the value of any required quantity.
Given,
Indian cricket team won 4 more matches than it lost with New Zealand.
Consider If it won 3/5 of its matches, then we need to find the number of matches did it played.
Let us consider the number of matches lost = x
Number of matches won = x + 4
Therefore, the total matches played
=> x + x +4
=> 2x + 4
So, we know that, it won 3/5 th of the matches,
Then it can be written as,
=> x + 4 = 3/5 (2x +4)
Cross multiply it,
=> 5(x + 4) = 3(2x + 4)
=> 5x + 20 = 6x + 12
=> x - 8 =0
=> x = 8
Then the total number of matches played by India is,
=> 2(8) + 4
=> 16 + 4
=> 20.
Therefore, 20 matches are played by India.
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what number makes the fraction equivalent 3/8=27/
Answer:
72
Step-by-step explanation:
Let x = the unknown value, and express the equation as follows:
3/8 = 27/x
Cross-multiply (multiply each side of the equation by the other side's denominator, thus eliminating the denominators from both sides):
3x = 8 * 27
Simplify:
3x = 216
x = 72
