Answer:
-6y^4 - 7y^2
Explanation:
Distribute y2 with -4y2 and 7
-4y4 - 7y2 - 2y4
Combine the like terms, -4y4 and 2y4
-6y4 - 7y2
Solve the following simultaneous equations in ELIMINATION way
Answer:
Here is the solution...hope it helps:)
Tim is playing a game. His score in round 1 is 1.7 points, in round 2 is 5.1 points, in round 3 is 15.3 points, and it continues to increase in the same way. Is his score a geometric sequence? If so, write a recursive definition for the sequence.
The recursive definition for the geometric sequence is given as follows:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The recursive definition of a geometric sequence is given by:
[tex]a_n = qa_{n-1}[/tex]
In this problem, we have that the first term and the common ratio are given, respectively, by:
[tex]a_1 = 1.7, q = \frac{15.3}{5.1} = \frac{5.1}{1.7} = 3[/tex].
Hence the recursive definition is given by:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
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a bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?
Answer:
0.01462069 cost per tablespoon
Step-by-step explanation:
a bag of sugar costs $2.12
145 tablespoons of sugar
145:2.12 is the ratio
1:x where x represents per tablespoon cost
2.12 / 145 = 0.01462069 which rounds up to 0.02
Check if it correct:
145 x 0.01462069 = 2.12
40 points!!! Please help me solve
Answer:
34.6
Step-by-step explanation:
In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side
There is only one formula which have these two sides
tan
tan∅ = opposite ÷ adjacent
tan 38° = 27 ÷ x
x = 27 ÷ (tan 38°)
x = 34.56
x≈ 34.6
What is the approximate value of the correlation coefficient for the given graph?
Price of the Car ($1,000)
40
35•
30. •
25. •
20. •
15. •
10. •
5. •
0 1 2 3 4 5 6 7
Number of Years
A. 1
B. 5
C. 3
D. -1
Answer:
the answer is a bc the 1 in this makes sense
Step-by-step explanation:
thats is the best answer i think
The approximate value of the correlation coefficient for the given graph is 5.
To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).
The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:
m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 35) / (6 - 0)
m = -30 / 6
m = -5
Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):
y = mx + b
35 = -5(0) + b
35 = b
So, the equation of the line is y = -5x + 35.
Now, we can use this line to calculate the correlation coefficient "r" for the given graph.
The correlation coefficient "r" is given by the formula:
r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)
where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.
Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.
So, the correlation coefficient (R) is:
R = √((-5)²) = √25 ≈ 5
Therefore, the approximate value of the correlation coefficient for the given graph is 5.
The correct option is: B. 5
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Complete Question:
What is the approximate value of the correlation coefficient for the given graph?
A. 1
B. 5
C. 3
D. -1
What is the value of x?
A. 10.4
B. 52
C. 61.6
D. 92
Answer:
A. 10.4
Step-by-step explanation:
180-128=52÷5=10.4
At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual interest, compounded monthly, and paid into the account at the end of the month. How much is in the account if deposits are made for 10 years?
Answer:
this one hard
Step-by-step explanation:
5. Presidential elections are held every
4 years. There were Presidential
elections in 1840, 1844, 1848, and 1852.
When were the next three Presidential
elections? Describe a feature of
the pattern.
Answer:
1856, 1860, 1864
Step-by-step explanation:
add four to the previous year to get the year of the next elections
Answer:
1856, 1860, 1864
Step-by-step explanation: Pretty sure this is correct.
It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on 34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?
Answer:
Sue
Step-by-step explanation:
34/2= 17 which is the highest out of them all.
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
Current price is $3,000
Price 10 years from today is $3,840
Step-by-step explanation:
[tex]3000( {1.025}^{10} ) = 3840.25[/tex]
What’s 2 x 2^18 divided 329 + 512789
Answer:
1.021769
Step-by-step explanation:
(2 x 2^18 )/(329 + 512789)
=(2 x 262.144)/(513118)
=(524.288)/(513118)
=1.021769
can you please help?
HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11
Solve the inequality, and please show your work. Thanks in advance!
Answer:
-4 < x ≤ -3
Step-by-step explanation:
The compound inequality needs to be separated into its two parts in order to obtain a solution.
__
We can do a little preliminary work to make the solutions easier.
2x +6 ≤ x +3 < 3x +11 . . . . . given
x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3
left sidex +3 ≤ 0
x ≤ -3 . . . . . . . subtract 3
right side0 < 2x +8
0 < x +4 . . . . divide by 2
-4 < x . . . . . . subtract 4
solutionNow, we can rearrange these back into a compound inequality.
-4 < x ≤ -3
_____
The graphing calculator shows the same solution.
How to multiply 10x 3 1/2
Answer:
35
Step-by-step explanation:
put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.
“the product of 6 and
9 decreased by 8"
Answer:
46
Step-by-step explanation:
“the product of 6 and 9 decreased by 8"
“the product of 6 and 9" = 6 * 9
"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)
“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46
A piece of paper is 10 1 2inches long. If you put 3 2inch sticky notes end to end across the length of the paper, how many sticky notes will fit?
A tractor tire has a radius of 28 inches. If the tire is rotating at 80 degrees per second (i.e. it takes 9/2 seconds to make one revolution), how fast is the tractor traveling in miles per hour? Round your answer to the nearest 0.01 mph. Do not include units in your answer.
The speed of the tractor's tire by means of the information given is; 547.06.
How fast is the tractor moving?According to the task content;
It follows that the radius of the tire is; 28 inches and the period taken for one revolution is; 4.5s.On this note, the speed of the tractor is;
Speed = (πr²) ÷ 4.5
Speed = (3.14×28²)/4.5
Speed = 547.06
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I can not figure out the length of xy
Answer:
The segment bisector is MN
Step-by-step explanation:
MN divides XY into two equal lengths
Assessment started: undefined. Item 1 A rectangle is 12 feet long and 34 feet wide. What is the area of the rectangle? Enter your answer as a fraction in simplest form by filling in the boxes
Area:-
Length×Width12(34)408ft²Answer:
408 ft²
Step-by-step explanation:
Given that,
→ Length (l) = 12 ft
→ Breadth (b) = 34 ft
Formula we use,
→ Area of rectangle = l × b
Then the area will be,
→ l × b
→ 12 × 34
→ 408 ft²
Hence, the area is 408 ft².
10. What's the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?
© A. 12 cu. m
O B. 900 cu. m
0 C. 6cu. m
• D. 9 cu. m
Answer:
D.9 cu.m
Step-by-step explanation:
measurements varies,so it is a cuboid
volume of cuboid= length×breadth×height
=3×1.5×2
=9 cu.m
3. Look at the system below. What value could you use for "m" to make the lines
perpendicular?
1
y= +8
y = m2 - 6
Answer:
what would make the lines perpendicular is using the first y as a another oart of the end of the second why
Step-by-step explanation:
y= = m2-6+8
Help!!!
For babysitting nicole charges a flat fee pf $20, plus $15 per hour. How much money will she make if she baby-sits 8 hours?
Answer:
[tex]\huge\boxed{\bf\: 140 \: dollars}[/tex]
Step-by-step explanation:
Flat fee = $20
Dollars charged per hour = $15
Dollars charged for 8 hours = ?
Dollars charged for 8 hours
= Dollars charged per hour × 8
= 15 × 8
= $120
Money made in total by Nicole
= Dollars charged for 8 hours + Flat fee
= $120 + $20
= $140
[tex]\rule{150pt}{2pt}[/tex]
Average Allowance Amount $20, $15, $10, $5 with frequency ll, 5, 10, 3. What is the range of the allowance amounts?
Answer:
$15
Step-by-step explanation:
Range = Highest number- Lowest number
Range=20-5
=$15
What is the solution of x = 2 + StartRoot x minus 2 EndRoot?
Answer:
x = 2 and x = 3
Step by step explanation:
[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]
[tex]\text{So, x = 3 is a solution.}[/tex]
Question 1-3
Which gives the exact value of the equation 15x=3?
Answer:
The value of x in 15x=3, is 1/5 or 0.2
Question 14(Multiple Choice Worth 1 points)
(03.03 MC)
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 16 to positive 16 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10.
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
10 miles
12 miles
34 miles
46 miles
Answer: mike traveled 34 miles
sally picks seashells by the seashore.she lost 17 of them on her way home.with the remaining seashells,she planned to fill 5 jars with the same number of seashells in each.how many seashells did she originally pick?
Answer:
5
Step-by-step explanation:
Determine the equation of the circle graphed below.
Answer:
x^2 + y^2 = 49
Step-by-step explanation:
The equation of a circle is given by
( x-h) ^2 + (y-k) ^2 = r^2
(h,k) is the center of the circle and r is the radius
The circle is centered and (0,0) and the radius is 7
( x-0) ^2 + (y-0) ^2 = 7^2
x^2 + y^2 = 49
PLEASE HELP PLEASE I WILL GIVE BRIANLIEST
Answer:
2:3
Explanation:
We can simplify the ratio 600 : 900 by dividing both terms by the greatest common factor (GCF).
The GCF of 600 and 900 is 300.
Divide both terms by 300.
600 ÷ 300 = 2
900 ÷ 300 = 3
Therefore:
600 : 900 = 2 : 3
Answer:
2:3
Step-by-step explanation:
hope it helps :>
If sample bias exists, then we can easily trust using the sample as representative of the
whole population. True or False
Explanation:
If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.
For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.
