9514 1404 393
Answer:
2y^6 +12y^4 +5y^3 +30y
Step-by-step explanation:
Given:
rectangle height: 2y^3 +5
and width: y^3+6y
Find:
the area as a polynomial
Solution:
The area is the product of height and width:
A = (2y^3 +5)(y^3 +6y)
A = (2y^3)(y^3 +6y) +5(y^3 +6y)
A = 2y^6 +12y^4 +5y^3 +30y . . . . area of the rectangle
The area of the rectangle, given the height 2y^3+52y and the width y^3+6y, is calculated by multiplying these expressions together. In standard form, the area is 2y^6+64y^4+312y^2.
Explanation:The question pertains to the calculation of the area of a rectangle given the expressions for its height and width. The area of a rectangle is calculated by multiplying its height and width together.
The given height of the rectangle is 2y^3+52y and the width is y^3+6y. Therefore, to calculate the area, we multiply these two expressions together. Using distributive properties of multiplication over addition, we get:
Area = (2y^3+52y) * (y^3+6y)
=
2y^6+12y^4+52y^4+312y^2
So, the area of the rectangle in standard form is 2y^6+64y^4+312y^2.
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3 – (–3) + 7 – 4 =
Question 12 options:
A)
14
B)
9
C)
2
D)
12
Answer:
=9
Step-by-step explanation:
3–(–3)+7–4=
=3+3+7-4
=6+7-4
=13-4
=9
I hope this helps!
Answer:
3−(−3)+7−4
=9
Answer is B
Please help will give 10 pts
Answer:
C. 98.0%
Step-by-step explanation:
If t represents 35 days, then in order to find the daily decay rate we will have to input 1/35 as the value of t.
100(0.5)^[tex]\frac{1}{35}[/tex] = 98.039
The daily decay rate is 98.0%
1. Solve and show your work for each question.(a) What is 0.36 expressed as a fraction in simplest form?(b) What is 0.36 expressed as a fraction in simplest form? (c) What is 0.36 expressed as a fraction in simplest form?<br />Answer: ( For question A there is a line over 36). ( For question B there is a line over 6). ( For question C there is no line over 0.36).
Answer:
9/25
Step-by-step explanation:
0.36
36/100
18/50
9/25
Answer:
Step-by-step explanation:
____
a) 0.36 = 0.3636........
x = 0.363636.......
{After decimal two digits are there and both are repeated. So, multiply both side by 100}
100x = 36.3636....... equ(i)
x = 0.3636...... equ(ii) {Now, subtract equ (ii) form (i)
99x = 36
x = 36/99
x = 4/11
0.3636...... = 4/11
B) __
0.36 = 0.366666.....
{After decimal point two digits are there but only one digit, 6 is repeated. so first multiply both sides of equation [x=0.366...] by 100 and mark it as equation (i) and then multiply both sides of the equation [x=0.366...] by 10 and mark it as (ii) equation }
x = 0.3666....
100x = 36.66666..... ---------- (i)
10x = 3.66666...... ---------(ii) {Now subtract (ii) from (i)}
90x = 33
x = 33/90
x = 11/30
0.36666..... = 11/30
c)
[tex]0.36=\frac{36}{100}\\\\= \frac{9}{25}[/tex]
Which graph represents a function with an initial value of One-half?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).
Mark this and return
Answer:
The answer is B) On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
Step-by-step explanation:
The initial value is the y-intercept and b has a y-intercept of 0.5
Hope this helps :)))
Answer:
B edge 2020
Step-by-step explanation:
You take a 10 question multiple choice test. Each question has 4 choices and you guess on all of them. What is the probability you get 7, 8, 9, and 10 questions right. Explain your work
Answer:
Probability of getting 7 correctly = 0.0030899
Probability of getting 8 correctly = 0.00038624
Probability of getting 9 correctly = 0.00002861
Probability of getting 10 correctly = 0.00000095367
Probability of Getty at least 7 questions correctly = 0.0035057
Step-by-step explanation:
Please kindly check the attached files for more explanation.
Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.
Answer:
It's the law of cosines
Step-by-step explanation:
law of cosines states that [tex]c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))[/tex]
so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59
In 2010, there were 1000 rabbits on an island. The population grows 8% every year. At this rate, how many rabbits will there be on the island by 2025?
Answer:
3172 rabbits
Step-by-step explanation:
nnnnnnnxnxnxnx
The population of rabbits in the year 2025 will be 3172.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have in 2010, there were 1000 rabbits on an island. The population grows 8% every year.
Assume that the population in the year 2025 be [x]. We can write he annual growth multiplicative factor as 1.08. Now -
x = 1000(1.08)¹⁵
x = 3172
Therefore, the population of rabbits in the year 2025 will be 3172.
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PLEASE HELP ME ASAP..................................
Answer:
2, 4, 5
Step-by-step explanation:
Answer:
5x+3x AND 8x
(10b-10b) And 0
y-9(3) AND -27
Step-by-step explanation:
please give me brainliest
5 ½ x 3=
2 ⅓ x 4 ¾=
-2 ⅖ x 3 ¼=
What is the radius and diameter of the following circle 24cm
Answer:
radius is 12 cm
diameter 24 cm
Answer: Radius= 12cm Diameter= 24cm
Step-by-step explanation:
To add 10 + 25 + 75, Damon first added 25 and 75. Which property did Damon use to add mentally?
A. Commutative Property of Addition
B. Distributive Property
C. Associative Property of Addition
D. Identity Property of Addition
Answer: A. Commutative Property of Addition
Step-by-step explanation: In Commutative property is does not matter which number you use first because it is always gonna be the same answer.
evaluate the expression shown 6(14+8)12
Answer:
1584
Step-by-step explanation:
Second try PLEASE HELP ME ASAP i always give brainliests and thanks +20 points!
(if you can please explain too how to find the discriminant i am very bad at it)
Answer:
The discriminant is positive
Step-by-step explanation:
You can find that because on the graph, the top of the curve is on Y and its positive. Its at positive 4 so its positive......sorry im not good at explaning hope this helped.....also you can check google images or videos and it explanes.
Answer:
Positive
Step-by-step explanation:
In order to answer this question, we need to figure out the equation of the quadratic.
We see that the vertex is at (0, 4) and that the points (1, 3) and (2, 0) are on the graph. The generic quadratic is: ax^2 + bx + c, so we can just plug in these three points to find a, b, and c:
4 = 0 + 0 + c ⇒ c = 4
3 = a + b + c = a + b + 4 ⇒ a + b = -1
0 = 4a + 2b + c = 4a + 2b + 4 ⇒ 4a + 2b = -4
We now have two linear equations (a + b = -1 and 4a + 2b = -4) so multiply the first one by 2 and subtract it from the second:
4a + 2b = -4 ⇒ 4a + 2b = -4
- 2(a + b) = (-1) * 2 ⇒ - 2a + 2b = -2
______________ ⇒ ______________
Our difference is 2a = -2, so a = -1. Plug this back in to find b: a + b = -1.
-1 + b = -1
b = 0
So our equation is -x^2 + 4 = 0.
The discriminant is just b^2 - 4ac. Here, it is: 0^2 - 4 * (-1) * (4) = 16.
So the discriminant is positive.
Hope this helps!
Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recorded in the table below.
A 4-column table with 3 rows. The first column has no label with entries job, no job, total. The second column is labeled tenth grade with entries 0.14, 0.86, 1. The third column is labeled eleventh grade with entries 0.25, 0.75, 1. The fourth column is labeled total with entries 0.20, 0.80, 1.
Given the conditional relative frequency table by column, what does the 0.14 represent?
Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Given that a student has a job, there is a 14% chance he or she is a 10th grader.
14% of the students surveyed are 10th graders who have a job.
14% of the students are 10th graders.
Answer:
A.
Given that a student is a 10th grader, there is a 14% chance he or she has a job.
TOOK ONE FOR THE TEAM
Answer:
A) Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
How many games did they play
The number of games played is 9
Let the number of games played = g
Amount of bet per game = $2
Number of games won by Marty = 4
Number of games won by Wendy will be;
g - 4Amount won by Wendy = $10
This means ;
cost per bet × number of games won by Wendy = 10
2(g - 4) = 10
2g - 8 = 10
2g = 18
g = 9
Hence, They played 9 games.
Khloe ran around the track 7 times at the same rate of speed. It took her 21 minutes to run. Zachary took 4 minutes to run around the track once. Which student ran faster? Explain.
Zachary ran faster with 4 minutes per lap compared to Khloe's 3 minutes per lap.
To compare the speeds of Khloe and Zachary, we need to find their respective speeds in terms of minutes per lap.
Khloe ran around the track 7 times in 21 minutes, so her speed is [tex]\( \frac{21}{7} = 3 \)[/tex] minutes per lap.
Zachary took 4 minutes to run around the track once, so his speed is [tex]\( 4 \)[/tex] minutes per lap.
Comparing their speeds, Zachary's speed is faster at 4 minutes per lap, whereas Khloe's speed is 3 minutes per lap.
In summary, Zachary ran faster than Khloe because he completed each lap in 4 minutes compared to Khloe's 3 minutes per lap.
What is the following sum ? 4sqrt(5) + 2sqrt(5)
Answer:
6sqrt(5)
Step-by-step explanation:
Answer:
should be 6sqrt5
(EASY) How much does the music store charge for a yearly membership?
The music store will charge $5 for a yearly membership.
Step-by-step explanation:
Let the cost per vinyl album be 'a'
Let the yearly membership cost be 'b'
Given that,
4a + b = 35
7a + b = 57.5
9a + b = 72.5
We can take any 2 equations from the above,
(4a + b = 35 ) - (7a +b =57.5)
4a + b - 7a - b = 35 - 57.5
-3a = -22. 5
3a = 22.5
a = 7.5
The cost of each vinyl album is $7.5
4a + b = 35
4(7.5) + b = 35
30 + b = 35
b = 35 - 30
b = 5
The cost of the yearly membership is $5
The music store will charge $5 for a yearly membership.
Help please will give B
-1/-3 positive rational number or negative rational number
+1/-3 positive rational number or negative rational number
-2/+3 positive rational number or negative rational number
+1/+3 positive rational number or negative rational number
+2/-3 positive rational number or negative rational number
-1/+3 positive rational number or negative rational number
-2/-3 positive rational number or negative rational number
+2/+3 positive rational number or negative rational number
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------------
Remember: When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.
(-1/-3) Positive Rational Number.
(+1/-3) Negative Rational Number.
(-2/+3) Negative Rational Number.
(+1/+3) Positive Rational Number.
(+2/-3) Negative Rational Number.
(-1/+3) Negative Rational Number.
(-2/-3) Positive Rational Number.
(+2/+3) Positive Rational Number.
In mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both the numerator and the denominator are of same sign (either positive or negative), the rational number is positive. If they have different signs (one positive, one negative), the rational number is negative.
Explanation:According to the rules of mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both are positive or both are negative, the resulting number is positive. If one is positive and the other is negative, the result is negative.
-1/-3: This can be interpreted as negative divided by negative. When we divide negative by negative, the result is a positive rational number.+1/-3: This is positive divided by negative, giving a negative rational number.-2/+3: This means negative divided by positive, resulting in a negative rational number.+1/+3: Both positive, hence the result is a positive rational number.+2/-3: Stands for positive divided by negative which gives a negative rational number.-1/+3: Interpreted as negative divided by positive, giving a negative rational number.-2/-3: Both are negative, so the result is a positive rational number.+2/+3: Both are positive. Hence, the result is a positive rational number.Learn more about Rational Numbers here:https://brainly.com/question/24398433
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Which linear function represents the table? A) y = 7x − 7 B) y = 7x + 7 C) y = −7x + 7 D) y = −7x − 7
Answer:
Y = -7x+7
Step-by-step explanation:
(This takes a while)
A) Y = 7x - 7
B) Y = 7x + 7
C) Y = -7x + 7
D) Y = - 7x - 7
The asnwer is: C.
Because by distribution the numbers of [x], you will find that you will get [y]. And when you must do this with each of them in order to find out which is the right function.
(6,-35) -> Subsitute 6 into [x]:
Y = 7(6) - 7
Y = 42 - 7
Y = 35
This is wrong, because [y] is supposed to equal -35 and not 35. So A. is out.
B. is also positive, so that means you can't get a negative from it either, so that's out.
C. and D. are both negative, so its between these two.
Y = -7x + 7
Y = -7(6) +7
Y = -42 +7
Y = -35 <- Okay, so that's correct, now let's check D.
Y = -7(6) - 7
Y = -42 - 7
Y = -49 <- This answer is wrong, so your correct answer is C!
The best thing to do is distribute into each, it's quite a process, but it'll help you find out the answer!
Keisha and David each found the same value for cosine theta, as shown below, given Sine theta = Negative StartFraction 8 Over 17 EndFraction. Keisha’s Solution David’s Solution Tangent squared theta + 1 = secant squared theta. StartFraction sine squared theta Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. StartFraction (eight-seventeenths) squared Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. (eight-seventeenths) squared + cosine squared theta = 1. cosine theta = plus-or-minus StartRoot 1 minus StartFraction 64 Over 289 EndFraction EndRoot. cosine theta = plus-or-minus Fifteen-seventeenths sine squared theta + cosine squared theta = 1. cosine squared theta = 1 minus (negative eight-seventeenths) squared. cosine theta = plus-or-minus StartRoot StartFraction 225 Over 289 EndFraction EndRoot. Cosine theta = plus-or-minus fifteen-seventeenths Whose procedure is correct? Keisha’s procedure is correct. David’s procedure is correct. Both procedures are correct. Neither procedure is correct.
Answer:
C) Both procedures are correct
Step-by-step explanation:
1 + tan²(theta) = sec²(theta)
And
cos²(theta) = 1 - sin²(theta)
Are both valid identities
Answer:
c) both are correct
Step-by-step explanation:
Select the three ratios that represent the number of blue marbles to red marbles.
Answer: Either 2:3 or 3:2
Please need help thank you
Answer:
C. 24
Step-by-step explanation:
In order for the assignments to be equally distributed the total amount of assignment has to be perfectly Divisible by 4.
24/4 = 6
a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was 8.5 hours. what was the one-way distance?
Answer:
1400 miles
Step-by-step explanation:
Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:
[tex]Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}[/tex]
plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.
The time spent (t₁) in going east is given by:
[tex]S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}[/tex]
The time spent (t₂) in going east is given by:
[tex]S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}[/tex]
The total time (t) = t₁ + t₂
t = t₁ + t₂ = 8.5 hours
[tex]\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\[/tex]
Therefore the one way distance is 1400 miles
What is the relationship between the sides x and y in the given figure?
Subtract. Write your answer in simplest form.
9 6/24 - 1 11/24 = ?
Answer:
7 19/24
Step-by-step explanation:
9 6/24 - 1 11/24
I like to line them up vertically
9 6/24
- 1 11/24
------------------
We need to borrow one from the 9. We will borrow it in the form 24/24
8 6/24+24/24 8 30/24
- 1 11/24 - 1 11/24
------------------ ---------------------
7 19/24
Work out the size of angle x
Answer:
23° is the right answer brother !
-3/5n=2/5 pls help me
Answer:
the answer is the expression, 5n-3
Step-by-step explanation:
Answer:
The value of n is -3/2.
Step-by-step explanation:
In order to solve x, you have to use the Cross-Multiplication :
[tex] \frac{ - 3}{5n} = \frac{2}{5} [/tex]
[tex] - 3(5) = 2(5n)[/tex]
[tex] - 15 = 10n[/tex]
[tex]10n \div 10 = - 15 \div 10[/tex]
[tex]n = \frac{ - 15}{10} [/tex]
[tex]n = \frac{ - 3}{2} [/tex]
Look at the image to answer.
Maria subtracted 10x instead of adding it on step 4
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Line 4 has the problem:
[tex]12x-10x=44-10x+10x[/tex]
The correct way to put it is:
[tex]12x+10x=44-10x+10x[/tex]
which comes out to:
[tex]12x+10x=44-10x+10x\\22x=44\\x=2[/tex]
c(n)=-7+6(-1)
Find the 4 term in the sequence
To find the fourth term in the sequence described by the expression c(n)=-7+6(-1), substitute n = 4 into the expression and simplify. the fourth term in the sequence is -13.
Explanation:To find the fourth term in the sequence given by c(n)=-7+6(-1), we need to substitute n = 4 into the expression and simplify.
First, substitute n = 4 into the expression:
c(4) = -7 + 6(-1)
Next, simplify the expression:
c(4) = -7 + (-6)
c(4) = -7 - 6
c(4) = -13
Therefore, the fourth term in the sequence is -13.
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