[tex]\cfrac{(21x^5y^8)^2}{3x^2}\implies \cfrac{((3)(7)x^5y^8)^2}{3x^2}\implies \cfrac{3^2\cdot 7^2x^{5\cdot 2}y^{8\cdot 2}}{3x^2}\implies \cfrac{3^2}{3}\cdot \cfrac{7^2 x^{10} y^{16}}{x^2} \\\\\\ 3\cdot 7^2 x^{10}\cdot x^{-2} y^{16}\implies 3\cdot 49x^{10-2}y^{16}\implies 147x^8y^{16}[/tex]
Please explain how you got to the answer. I need help with number 1,4,5.
Step-by-step explanation:
Degree of a monomial is nothing but the sum of values of powers of the variables in given expression
1)4x²
DEGREE=2
2) 6abc= 6a¹b¹c¹
DEGREE=1+1+1=3
3) 2xy=2x¹y¹
DEGREE=1+1=2
4)a²b²
DEGREE=2+2=4
5) xyz³=x¹y¹z³
DEGREE=1+1+3=5
I hope it helped you
Answer:
1. 2
2. 3
3. 2
4. 4
5. 5
Step-by-step explanation:
The dregree is related to the exponent.
Every problem you have 1-5 shows a monomial. A monomial is a sinlge number, or a number multiplied by 1 or more variables.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
A variable is a letter. In these 5 problems, the variables are a, b, c, x, y, z.
If a variable has no exponent written, then its exponent is 1.
1. 4x²
There is one variable. The exponent on the variable is 2. The degree is 2.
2. 6abc
There are 3 variables, a, b, and c. Each variable has exponent 1 even though we do not write the 1. This expression is the same as 6a^1b^1c^1. Add the exponents: 1 + 1 + 1 = 3. The degree is 3.
3. 2xy
Rewrite, or think of it as, 2x^1y^1. Add the expoenents: 1 + 1 = 2. The degree is 2.
4. a²b²
Add the exponents: 2 + 2 = 4. The degreee is 4.
5. xyz³
Rewrite as or think of it as: x^1y^1z³. The sum of the exponents is 1 + 1 + 3 = 5. The degree is 5.
Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The angle formed at Rachael's position measures 90°. The distance from Lance to Rachael is 45 feet, and the angle formed at Lance's position measures 55°. Lance is trying to determine the other measures created by their positions. Give each measurement rounded to the nearest thousandth of afoot. The angle formed at Jamie's position measures degrees.
Answer:
35°
64.267 ft
78.455 ft
Step-by-step explanation:
The given situation can be modeled as a right triangle (see attached).
The interior angles of a triangle sum to 180°
⇒ angle at Jamie's position = 180° - 90° - 55° = 35°
To find the other measures (distances), we can use trig ratios.
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseTo find the distance from Rachael to Jamie:
[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]
[tex]\implies \sf x=45\tan(55^{\circ})[/tex]
[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]
To find the distance from Lance to Jamie:
[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]
[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]
[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]
What is 7x90? im only in 3 grade and my teacer asked me to answer the problem and i have no clue
Answer:
630
Step-by-step explanation:
Just add 90 seven times. (90+90+90+90+90+90+90=630) Hope this helps! Have a good day/night.
Answer:
7 x 90 = 630
Step-by-step explanation:
If you're not sure how to solve it, i will help you!!
Write it like this on paper:
90
x 7
now multiply them diagonal, for example, you would multiply 0 x 7, and then write it down, and it gives you this:
90
x 7
0
then you would multiply 9 times 7, which is 63, and put it in front of the 0, so you would have something like this:
90
x 7
630
Also i think you might be too young to be on here-
Find the area of the shaded polygons. it has the diameters of 6, 8, 10. I WILL AWARD BRAINLIEST. PLS HELP ASAP I NEED THIS PLSSSS
Answer:
8, 10
Step-by-step explanation:
hopes this helps!
PLS GIVE ME BRAINILIEST
The cost proposed by the taxi company that charges $3 for the taxi drop plus $1.50 for each mile driven can be expressed as c=
The cost proposed by the taxi company that charges $2 for the taxi drop plus $1.75 for each mile driven can be expressed as c=
Answer:
3 + (1.50 x m) = c
m stands for amount of miles driven, c stands for total cost.
Mr. Schultz is randomly distributing 15 rulers with centimeter markings and 10 rulers without centimeter markings to his class. What is the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings?.
Using it's concept, it is found that there is a 0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the first ruler, there are 15 with markings out of 25, hence P(A) = 15/25.For the second ruler, there are 10 without markings out of 24, hence P(B|A) = 10/24.Thus, the probability is given by:
[tex]P(A \cap B) = P(A)P(B|A) = \frac{15}{25} \times \frac{10}{24} = 0.25[/tex]
0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.
More can be learned about probabilities at https://brainly.com/question/14398287
Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Steps in the process of completing the square used to solve the given equation were discussed.
Given equation is:
[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Taking all terms to the left side of the equation:
[tex]-2x^{2} -9x+5x+1=0[/tex]
[tex]-2x^{2} -4x+1=0[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2(x^{2} +2x)=1[/tex]
To complete the square let us add 2 both sides
[tex]2(x^{2} +2x)+2=3[/tex]
[tex]2(x+1)^2=3[/tex].....(1)
So, equation (1) is the required answer.
Hence, steps in the process of completing the square used to solve the given equation were discussed.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
Answer:
A, B, D
Step-by-step explanation:
Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement
Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem:
She wants 23 successes, hence q = 23.Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.Then:
[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]
She should expect to roll the number cube 46 times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
answer is 46.
Step-by-step explanation:
Find the sum of (–4 + i) and (10 – 5i).
When we work with complex numbers:
⇒ we add all the like terms
⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]
⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]
Let's find the sum now:
[tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]
Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i
Hope that helps!
Answer:
C on edge
Step-by-step explanation:
Using a normal deck of cards, Jessica draws one card, and then without replacing the first card, draws a second card.
Find the Probability:
P(Jack then Queen)
Answer:
not answered this question
In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth
The length of arc JL is approximately 15.08 units.
We have,
The length of an arc in a circle can be calculated using the formula:
Arc Length = (θ/360) * 2πr
where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.
In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.
Plugging in the values, we have:
Arc Length = (144/360) * 2π * 6
Arc Length ≈ (0.4) * 6.28 * 6
Arc Length ≈ 15.072 units
Rounded to the nearest hundredth,
The length of arc JL is approximately 15.08 units.
Thus,
The length of arc JL is approximately 15.08 units.
Learn more about arc lengths here:
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1. What is the sine ratio of ∠C?
A. 5/13
B. 5/12
C. 12/13
D. 13/12
2. What is the cos ratio for ∠C?
A. 8/10
B. 10/6
C. 10/6
D. 6/10
Answer:
1. Sine ratio of angle ∠C = 12/13
2. cos ratio for ∠C = 6/10
Step-by-step explanation:
1. sin = perpendicular /hypotuse
=> 12/13
2. cos = base / hypotuse
=> 6/10
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-15x^2+1039x-7988
Answer:
$10,004 ??
Step-by-step explanation:
y = the amount of profit
x= Number of widget.
We know that,
The maximum value of a function only when the value of
Here a= -15 and b=1039
Plug them into x=-(b)/2(a)
y=(-15)(-1039/-30)^2+1039(-1039/-30)-7988
y=10004.016 round up to nearest dollar
y=$10,004
Uche pumps gasoline at a rate of 16 / min. What is Uche’s pumping rate in / s?
Answer:
266.66mL/s
Step-by-step explanation:
You have:
[tex] \frac{16}{1} \frac{liters}{minute} [/tex]
You can use the conversion factors to convert liters to milliliters, and minutes to seconds:
1L = 1000mL
1 min = 60 sec
Therefore:
[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
Liters cancel and minutes cancel. The units of mL per second is all that remains:
[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]
9x + 5y = 35
2x + 5y = 0
Answer:
The answer is A
Step-by-step explanation:
I worked it out with all of the options A is the correct answer.
pls need help in math<3
Answer:
I think its 6 and a half, not sure tho
Which of the following ordered pairs are a solution for the equation y=2x−5 (2, 0)(-1, -7)(-9, -2)(1, 3)
Answer:
(- 1, - 7 )
Step-by-step explanation:
substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution
(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution
(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation
(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution
(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution
my sister needs help in math
Answer:
Step-by-step explanation:
The answer would be C.
The number sentence that represents the amount of change Kate receives back is $20.00 - $18.92 = $1.08, The correct option is C)
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
For daises= $6.99
For soil potting =$3.98
For ceramic pot= $7.95
Now,
The correct answer is C) $20.00 - $18.92 = $1.08.
To find the amount of change Kate receives back, we need to subtract the total cost of her purchases from the amount of money she has. The total cost of her purchases is:
$6.99 + $3.98 + $7.95 = $18.92
Kate has $20.00, so we can find the amount of change she receives back by subtracting the total cost of her purchases from $20.00:
$20.00 - $18.92 = $1.08
Therefore, by algebra answer will be $1.08.
More about the Algebra link is given below.
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Please Help me Asap
Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:
90
100
10
95
Answer:
100
Step-by-step explanation:
Given Average After writing a last test=90
let the last test score be x
Now given
[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]
[tex]80 + 85 + 100 + 85 + x = 450[/tex]
[tex]x + 350 = 450[/tex]
[tex]x = 100[/tex]
I hope it helped you
Which angle is coterminal with a 120° angle?
A. An angle measuring 300°
B. An angle measuring-120°
C. An angle measuring 470°
D. An angle measuring 480°
An angle measuring 480° is coterminal with a 120° angle.
Coterminal anglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=120°β = 120 ± 360 * 1
β = 120 ± 360
Then, β can be 120+360=480° or 120-360= -240°
For w=2 and α=120°β = 120 ± 360 * 2
β = 120 ± 720
Then, β can be 120+720=840° or 120-720= -600°
Therefore, the answer to this question is option D.
Read more about the coterminal angles here:
https://brainly.com/question/19573972
Solve for x in 25x+1 +52x+2 = 1250
Answer:
x = 1247/77
Step-by-step explanation:
25x + 1 + 52 + 2 =1250
25x + 3 + 52x = 1250
77x + 3 = 1250
77x + 3 - 3 = 1247
5x + (-x) - 1 = 11 - 2x
Answer:
x = 2
Step-by-step explanation:
5x + (- x) - 1 = 11 - 2x , that is
5x - x - 1 = 11 - 2x
4x - 1 = 11 - 2x ( add 2x to both sides )
6x - 1 = 11 ( add 1 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
The value of x is 2
Step-by-step explanation:
=> 5x + (-x) - 1 = 11 - 2x
=> 5x -x -1 = 11 - 2x
=> 4x - 1 = 11 - 2x
=> 4x+2x = 11+1
=> 6x = 12
=> x = 12/6
=> x = 2
compare |-0.658| and |-0.653|.
At the end of last year, Jason's hometown was approximately 75,000 people. The
population is growing at the rate of 2.4% each year.
What was the increase in population over the 13 year period?
What is the Cube root of 125x^12?
5x2
5x4
25x2
25x4
Answer:5x^4
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers
Use the Pythagorean theorem to find the length of AC. Enter the answer in simplified form.
Need help ASAP!
Answer :
=> (AB)² + (AC)² = (BC) ²
=> (AC)² = (BC)² - (AB)²
=> (AC)² = (4√5)² - (2√5)²
=> (AC)² = 80 - 20
=> (AC)² = 60
=> AC = √60
=> AC = 2√15
How do you write thirteen and seventy-two hundredths as a decimal number?
Answer:
13.72
Step-by-step explanation:
Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1
Answer:
Yes
Step-by-step explanation:
Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.
anybody know how I can get better at algebra 1, because I'm struggling
Answer:
My suggestions could be to;
→ Study
→ Ask for help to the teacher
→ Ask for help to your parents
→ Ask for help to your older siblings
→ Ask your parents to get a tutor for you
→ Pray to our lord and savior Jesus Christ to help you succeed algebra 1
Step-by-step explanation:
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
4(3 + 1) − 2( − 2) = 13 solve
Answer:
Step-by-step explanation:
12 +4 - (-4)=13
12 +4 +4 =13
20 =13
20-13 =0
7=0
Is there any particular answer you need this channelled to?