The expression y3¹⁰ - 10y³ is a binomial polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A binomial is a two-term polynomial. For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.In the given situation y3¹⁰ - 10y³ is a binomial polynomial as there are two terms in the expression.
Therefore, the expression y3¹⁰ - 10y³ is a binomial polynomial.
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Which of the following is equal to the absolute value of 7?
Answer:
absol value is 7 so pick the option that is 7.
Step-by-step explanation:
Hope this helps plz hit the crown :D
ing One Step Equations - Barb knows that she needs 8.5 hours of sleep every night to feel rested and sharp. If Barb has been getting her 8.5 hours of sleep every night, write and solve an equation that represents the number of perfect nights of sleep she's had, if she's had 3102.5 hours of sleep.
I've been stuck on this for sooo longgg:((
Answer:
x=3102.5/8.5 is your answer
Step-by-step explanation:
Passenger trains leave the station every
40 minutes. Freight trains leave every
30 minutes. If a passenger train and a
freight train just left at the same time, how
long will it be before one of each train
departs at the same time again?
When Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again
Given,
The passenger trains leave the station every 40 minutes
Freight trains leave every 30 minutes
We have to find the LCM
Prime factorization
30=2×3×5
40=2×2×2×5
LCM(30,40)= 2×2×2×3×5=120
Hence, when Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again.
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Find the surface area of the prism.
4cm
,
3cm
A
6cm
--
5cm
Surface Area = [ ]cm2
Answer:
60cm²
Step-by-step explanation:
2(1/2×4×3)+(3×6)+(5×6)
Can someone help me with his I will mark u brilliant
Answer: 1260 books
Step-by-step explanation:
2/5=0.4
19000x0.4=7600
12500x0.4=5000
7600+5000=12600
1/10=0.1
12600x0.1 = 1260
/Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)
Are these points collinear?
A drawer contains 10 blue pens, 12 black pens, and 3 red pens. Without looking, Mr. Lopez is going to take one pen from the drawer, use it, and then put it back into the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mr. Lopez taking a red pen first and then taking a blue pen?
Answer: 4.8%
Step-by-step explanation: the total amount of pens in the drawer is (10+12+3) = 25
the amount of red pens in the drawer is 3
the probability of picking out a red pen from the drawer = 3/25
the amount of blue pens in the drawer is 10
the probability of picking out a red pen from the drawer = 10/25
the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Write 7.63 × 10^–6 in an ordinary number.
Answer:
0.00000763
Step-by-step explanation:
7 accounts for 1 place
6 - 1 = 5, therefore 5 0s after the decimal point
Man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and she wants to order between 15% and 20% extra of the material
The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².
How to calculate the value?From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.
It should be noted that 15% of the material will be:
= 15% × 115.4
= 17.31 ft²
It should be noted that 20% of the material will be:
= 20% × 115.4
= 23.08 ft²
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PLZ ANY HELPPP I WILL MARK YOU BRILLLLLLL
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
-5a -b
-5(-6) -3
30 -3 = 27
The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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Let the test statistic T have a t distribution when H0 is true. Give the significance level for each of the following situation.
A. Ha: mu > m0, df = 15, rejection region t > 3.733
B. Ha : mu < mu 0, n = 24, rejection region t < - 2.500
C. Ha: mu not = mu 0, n = 31, rejection region t >1.697 or t < - 1.697
Answer:
a) The degrees of freedom are given by:
\(df = 15\)
And the rejection region is \(t_{\alpha}<3.733\)
And the significance level would be:
\(P(t_{15} >3.733) =0.001\)
b) The degrees of freedom are given by:
\(df = 24-1=23\)
And the rejection region is \(t_{\alpha} <-2.5\)
And the significance level would be:
\(P(t_{23} <-2.5) =0.0099 \approx 0.01\)
c) The degrees of freedom are given by:
\(df = 31-1=30\)
And the rejection region is \(t_{\alpha} <-1.697\) or \(t_{\alpha} >1.697\)
And the significance level would be:
\(2*P(t_{30} <-1.697) =0.10\)
Step-by-step explanation:
Part a
We have the following system of hypothesis:
Null hypothesis: \(\mu \leq \mu_0 \)
Alternative hypothesis: \(\mu > \mu_0 \)
The degrees of freedom are given by:
\(df = 15\)
And the rejection region is \(t_{\alpha}<3.733\)
And the significance level would be:
\(P(t_{15} >3.733) =0.001\)
Part b
We have the following system of hypothesis:
Null hypothesis: \(\mu \geq \mu_0 \)
Alternative hypothesis: \(\mu < \mu_0 \)
The degrees of freedom are given by:
\(df = 24-1=23\)
And the rejection region is \(t_{\alpha} <-2.5\)
And the significance level would be:
\(P(t_{23} <-2.5) =0.0099 \approx 0.01\)
Part c
We have the following system of hypothesis:
Null hypothesis: \(\mu = \mu_0 \)
Alternative hypothesis: \(\mu \neq \mu_o\)
The degrees of freedom are given by:
\(df = 31-1=30\)
And the rejection region is \(t_{\alpha} <-1.697\) or \(t_{\alpha} >1.697\)
And the significance level would be:
\(2*P(t_{30} <-1.697) =0.10\)
Jack Is 2 times as old as lacy. 8 years from now the sum of their ages will be 61. How old are they now?
Answer:
Jack = 30
Lacy = 15
Step-by-step explanation:
Let the age of Lacy be " x ".
Jack Is 2 times as old as lacy,
Age of Jack = 2 * Age of Lacy
Therefore,
Age of Jack = 2x.
8 years from now,
the age of Jack = 2x + 8
the age of Lacy = x + 8
8 years from now the sum of their ages will be 61,
2x + 8 + x + 8 = 61
2x + x + 8 + 8 = 61
3x + 16 = 61
3x = 61 - 16
3x = 45
x = 45 / 3
x = 15
The age of Jack
= 2x
= 2 * 15
= 30 years old.
The age of Lacy
= x
= 15 years old.
Hence,
Now,
the age of Jack is 30 years old.
the age of Lacy is 15 years old.
Can someone help me please??
Answer:
the perimeter is just the distance around the shape so 7+10+15+8+8+2=50
Franco said 9.37×0.1=93.7 is he correct
Answer:
No, Franco's calculation is incorrect.
Step-by-step explanation:
No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.
When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.
To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:
Copy code
9.37
x 0.1
0.937
Therefore, the correct answer is 0.937, not 93.7 as Franco stated.
Answer:
No. This is incorrect.
Step-by-step explanation:
9.37 × 1 = 9.37
Times by 1 the number stays the same.
If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.
9.37 × 10 = 93.7
9.37 × 0.1 = 0.937
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Answer:
$16
Step-by-step explanation:
\(0.75x = 12\\3x = 48\\x = 16\)
sin( 3pi/4 ) =
O A. 1/2
OB. -√2/2
O C. √3/2
O D. √2/2
Answer:
D
Step-by-step explanation:
sin ( 3pi / 4 )
= sin ( pi - pi / 4 )
= sin ( pi / 4 )
= 1/root(2)
= root(2) / 2
Boris finished his English assignment in 1/2 hours. Then he completed his history assignment in 1/5 hours. What was the total amount of times Boris spent doing these two assignments?
The total amount of times Boris spent doing these two assignments is 7/10 hours
What was the total amount of times Boris spent doing these two assignments?The given parameters are:
English = 1/2 hours
History = 1/5 hours
The total amount of times Boris spent doing these two assignments is
Total = 1/2 + 1/5
This gives
Total = 7/10
Hence, the total amount of times Boris spent doing these two assignments is 7/10 hours
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At the start of a game of marbles, Peter and Jack had 160 marbles in all. In the first round, Peter lost 3/5 of his marbles to Jack. In the second round, James lost 3/7 of his marbles to Peter. At the end of the second round of the game, they had the same number of marbles. How many marbles did each of them have at first?
Answer: Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.
Step-by-step explanation:
according to the weather forecasts, there will be at least 28.8 inches of rainfall next year is an example of which type of probability
Answer:
PRECIPITATION PROBABILITY. The probability of precipitation forecast is one of the most least understood elements of the weather forecast.
Step-by-step explanation:
Convert the number in scientific notation to standard notation.
\(1.8 * 10^6\)
How many fourths are in 3 4 ?
O 4 Over 16
O One-half
O 3
O 4
Answer:
⭕ 3hope it helps much
I need help converting 3/5 into a decimal
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x - 4y=9
Answer choices:
• (5/2, 4/3)
• ( 4/3, 5/2)
• ( 7/3 , -7/2)
• (-5/2 , -7/2)
The solution of Equation are (5/2, 4/3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+5y=14..........(1)
6x - 4y=9..............(2)
Solving equation (1) and (2) we get
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
and, 6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
From the graph we get
x = 2.405
y= 1.375
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does anyone know 3²?
Answer:
It is 9.
Step-by-step explanation:
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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help please!!!!!!!!!!!!!!!!!!!
Priya and Mai each made a batch of grape fizz. Priya mixed 3 scoops lot grape-flavored powder with & cups ot water. Mai mixed 4 Scoop of grape-flavored powder
Create a table that shows two additional different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture.
Create a table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture.
How do Priya's and Mai's mixtures compare in taste? Explain your thinking
The table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture is shown below,
Scoops of water = 4, 8, 12, 16, 20, 24
Cups of water = 1, 2, 3, 4, 5, 6.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
Priya mixed 3 scoops lot grape-flavored powder with & cups of water, Mai mixed 4 Scoop of grape-flavored powder,
Calculate the ratio of the powder and water mixed by Priya as shown below,
The ratio of the powder and water = scoops of powder / cups of water
The ratio of the powder and water = 3 / 1
Calculate the ratio of the powder and water mixed by Mai as shown below,
The ratio of the powder and water = 4 / 1
The table shows different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture is shown below,
Scoops of water = 3, 6, 9, 12, 15, 18
Cups of water = 1, 2, 3, 4, 5, 6.
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