[tex]n-a\ number\\\\(n+9)^2=n^2+2(n)(9)+9^2=n^2+18n+81\\\\Used\ (a+b)^2=a^2+2ab+b^2[/tex]
Answer:
(x+9)²
Step-by-step explanation:
The square of the sum of a number and 9 is in terms of x, is (x+9)²
Write as a ratio - 12 cartoons out of 34 videos
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
n an
1 −4
2 20
3 −100
an = −5(−4)n − 1 where n ≥ 1
an = −4(−5)n − 1 where n ≥ 1
an = −4(5)n − 1 where n ≥ −4
an = 5(−4)n − 1 where n ≥ −4
Answer:
B
Step-by-step explanation:
given the first 3 terms of the geometric sequence - 4, 20, - 100
with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5
the n th term formula ( explicit formula ) is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]
here r = - 5 and [tex]a_{1}[/tex] = - 4, hence
[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1
This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
-------------------------------------------------------
n an
1 −4
2 20
3 −100
First term is -4, so [tex]a_1 = -4[/tex], then:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
[tex]a_n = -4q^{n-1}, n \geq 1[/tex]
The common ratio is:
[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]
Thus:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.
A similar example is given at https://brainly.com/question/24078619
What’s 15.61 divided by 7
find the perimeter of the figure below.
Answer:
The answer is 55
Step-by-step explanation:
6 + 11 + 8 + 14 + 16 = 55
Use the least common denominator to write an equivalent franc toon for each fraction for 1/12 and 3/8
To find equivalent fractions for 1/12 and 3/8 using the least common denominator, multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a common denominator of 24.
Explanation:To find an equivalent fraction for 1/12 and 3/8 using the least common denominator, we need to determine the smallest multiple that both denominators (12 and 8) have in common. The least common multiple of 12 and 8 is 24.
To convert 1/12 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 2:
1/12 = (1 * 2) / (12 * 2) = 2/24.
To convert 3/8 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 3:
3/8 = (3 * 3) / (8 * 3) = 9/24.
Final answer:
The equivalent fractions with the least common denominator of 24 for 1/12 and 3/8 are 2/24 and 9/24, respectively.
Explanation:
To find an equivalent fraction for each fraction with the least common denominator (LCD), you first need to determine the LCD for 1/12 and 3/8. In this case, the LCD for 12 and 8 is 24. Then, you adjust each fraction to have the denominator of 24.
For 1/12: Multiply both the numerator and the denominator by 2 to get 2/24.
For 3/8: Multiply both the numerator and the denominator by 3 to get 9/24.
Therefore, the equivalent fractions with a common denominator of 24 are 2/24 and 9/24.
To understand equivalency in general, when you multiply the numerator and the denominator of a fraction by the same number, you are creating a fraction that represents the same value as the original.
A car's gas tank holds 18 gallons of gas when it is full. If the car 's gas tank is currently 65% full, how many gallons of gas is in the tank?
Help, please! Show the steps, please!
Answer:
11.7 Gallons
Step-by-step explanation:
First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank
Answer:
11.7
Step-by-step explanation:
To solve this problem, we need to find what is 65 percent of 18.
To do this, we can simply multiply 18 by .65. Don't forget the decimal!
The answer is 11.7
Hope this helps! (Brainliest Please!)
Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050. what was the rate charge per hour by each man if the sum of the two rates was 165. per hour?
Answer:
First man rate is 115
Second man rate is 50
Step-by-step explanation:
Let's assume rate of charge of first men is x
rate of charge of second men is y
we are given
the sum of the two rates was 165. per hour
so, we get
[tex]x+y=165[/tex]
Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050
so, we get
[tex]20x+15y=3050[/tex]
we can simplify it
[tex]5(4x+3y)=3050[/tex]
[tex](4x+3y)=610[/tex]
so, we got system of equations as
[tex]x+y=165[/tex]
[tex]4x+3y=610[/tex]
We can solve for y from first equation and plug into second equation
[tex]y=165-x[/tex]
[tex]4x+3(165-x)=610[/tex]
[tex]x+495=610[/tex]
[tex]x=115[/tex]
now, we can solve for y
[tex]y=165-115[/tex]
[tex]y=50[/tex]
The quotient of twice a number and 7 is 20
Answer:
the number is 70
Step-by-step explanation:
let unknown number is 'x'
given that 2x/7=20
multiply by 7 both sides
2x=20*7
divide by 2 on both sides
x=(20*7)/2
x=10*7
x=70
If the quotient of twice a number divided by 7 is 20, then the number is 70.
Let the number be represented as x
Twice the number = 2x
Twice a number divided by 7 = 2x/7
The quotient = 20
To get the value of x:
2x/7 = 20
Cross multiply:
2x = 7(20)
2x = 140
x = 140/2
x = 70
Therefore, if the quotient of twice a number divided by 7 is 20, then the number is 70.
Learn more here: https://brainly.com/question/11769266
What's the slope
(2,6)(6,5) use y2+y1
X2+X1. *just image a line in between
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (6, 5)
m = [tex]\frac{5-6}{6-2}[/tex] = - [tex]\frac{1}{4}[/tex]
Name Score John 2 Hank -1 Tammy -2 Sami 0 Gil 1 One day five golfers made the scores shown. Ordered from GREATEST to LEAST they are
Answer:
John, Gil, Sami, Hank, Tammy
Thats the scores ordered from greatest to least :)
PLEASE HELP ME!
Two similar triangles are shown on the following coordinate grid:
Which set of transformations has been preformed on triangle EFG to form triangle E’F’G’?
Answer:
Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Step-by-step explanation:
From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).
Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is
[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]
Length of OF is 2 unit and length of OF' is 8 units.
[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]
Rule of dilation with scale factor k and origin as center of dilation is defined as
[tex](x,y)\rightarrow (kx,ky)[/tex]
The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.
Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.
Answer:
Dilation by a scale factor of 4 followed by reflection about the y-axis
Step-by-step explanation:
Hope this helps
A used motorcycle is priced at 3,438 if u borrow the money for the motorcycle your payment will be 165 per month for 24 months. How much will u save by paying cash
Answer:
522
Step-by-step explanation:
We are given that the price of the motorcycle is 3238 and if we borrow it then the payment per month will be 165 for 24 months.
So the total amount that we are going to pay if we borrow the motorcycle will be 165 × 24 = 3960
While the actual price of the bike is 3438.
Difference in the payment and actual price = 3960 - 3438 = 522
Therefore, you can save 522 by paying cash.
Karen wakes up at 6:00 A. M. It takes her 1 1/4 hours to shower, get dressed, and fix her hair. It takes her 1/2 hour to eat breakfast, brush her teeth, and make her bed. At what time will she be ready to leave for school?]
The answer is: " 7:45 a.m. " .
__________________________________________
Step-by-step explanation:
__________________________________________
Start at:
____________________
6:00 a.m.
____________________
Add 1 1/4 hours ; which is
1 + (1/4) hours:
Note: " 1 hr = 60 min." .
_____________________
So:
(1/4 hr) * ([tex]\frac{60 min }{ 1 h}[/tex]) ;
= (1/4) * 60 min;
= (60/4) min.
= 15 min.
______________________
So: 1 1/4 hr = 1 hr. 15 min.;
______________________
So: Start at: 6:00 a.m .
Add " 1 1/4 hrs." ; i.e. add 1 hr 15 min.
_______________________
6:00 a.m + 1 hr = 7:00 a.m. ;
7:00 a.m. + 15 min. = 7: 15 a.m. ;
_______________________
Now, we are at:
_______________________
7:15 a.m. ;
Now add: "1/2 hour" to "7:15 a.m." to this time.
Note: " 1 hr = 60 min.
So;
"1/2 hr = (1/2) * (60 min) = (60 / 2) min. = 30 min.
________________________
So: we have 7:15 a.m. ;
we add "30 min." to this time.
and we have: 7:45 a.m.
___________________________________________________
The answer is: " 7:45 a.m. " .
__________________________________________________
Answer:
it's 8:15
Step-by-step explanation:
start at 6:00+1:15 (aka 1 1/4 an hour) =7:45+30 min=8:15
Can a triangle have 3 acute angles
Yes a triangle can have three acute angles. One example is a triangle where each angle is 60 degrees. This would be an equilateral triangle.
Note: acute means the angle is less than 90. For any triangle, the three angles always add to 180.
15 poins!!! Will give Brainliest!!! Help ASAP hurry!!!! Plzzz!!!
Line AD is perpendicular to line BF.
Based on the given information, if m1= 60°, then m2 = _____.
A. 30°
B. 60°
C. 90°
D. 180°
Answer:
if m1= 60° than m2 must= A. 30° Since perpendicular lines form a right
Solve –4(6x + 3) = –12(x + 10).
A. x = 2
B. x = 9
C. x = –5
D. x = 5
Answer:
B
Step-by-step explanation:
distribute parenthesis on both sides of the equation
- 24x - 12 = - 12x - 120 ( add 12x to both sides )
- 12x - 12 = - 120 ( add 12 to both sides )
- 12x = - 108 ( divide both sides by - 12 )
x = 9 → B
lamp is reduced from $80. to $50. what is the percent of decrease
Answer:
30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction;
37.5/100
Now we just take the numerator of the number to get the percent, which is the solution.
37.5%
Suppose a+b=2a which one of these expressions equals b-a
Answer:
0
Step-by-step explanation:
given a + b = 2a ( subtract 2a from both sides )
a - 2a + b = 0
- a + b = 0 ⇒ b - a = 0
Diane and Ruby are having lunch at a restaurant. Their bill came to be $50. They want to leave an 18% tip. What is the amount of the tip?
Answer:
The tip is $9.00
Step-by-step explanation:
To find the tip, we multiply the tip percentage by the amount of the bill. The tip percentage must be in decimal form.
18% = .18
.18* $50.00 = $9.00
The tip is $9.00
Kelly wants to know if the house she wants to buy has any maintenance issues. What should she do? A. ask a home inspector to check the house B. arrange for a residential survey C. get a real estate appraisal done
Answer:i think it is a
Step-by-step explanation:
Answer:
Real Estate appraisal
Step-by-step explanation:
What time is shown in the clock
Please help me I really need it :( (-->WILL MARK BRAINLIEST<-- I ALREADY HAVE THE ANSWER FOR PART A, I JUST NEED PART B ANSWERED AND CAN YOU PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER Thx :D)
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this situation?
(b) Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture (2,3) ; 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5); 4 lb peanuts and 1 lb mixture (4,1) ? Show your work. Please help me :'(
Answer:
(a) [tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]
(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);
Step-by-step explanation:
Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.
2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.
3. In 5 pounds of the 40% almond-60% peanut mixture there are [tex]0.6\cdot 5=3[/tex] pounds of peanut and [tex]0.4\cdot 5=2[/tex] pounds of almonds.
(a) Then you get a system of two equations:
[tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]
(b) Solve this system. From the first equation
[tex]m=\dfrac{2}{0.8}=2.5\ pounds,[/tex]
then
[tex]p+0.2\cdot 2.5=3,\\ \\p=3-0.5,\\ \\p=2.5\ pounds.[/tex]
There are 230 calories in 4 ounce of a type of ice cream. How many calories are in 6 ounces of paper ice cream
Answer:
345 calories.
Step-by-step explanation:
We have been given that there are 230 calories in 4 ounce of a type of ice cream.
First of all let us find calories per ounce ice-cream by dividing 230 by 4.
[tex]\text{Number of calories per ounce ice-cream}=\frac{230}{4}[/tex]
[tex]\text{Number of calories per ounce ice-cream}=57.5[/tex]
Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.
Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.
[tex]\text{Amount of calories in 6 ounces of ice-cream}=57.5\times 6[/tex]
[tex]\text{Amount of calories in 6 ounces of ice-cream}=345[/tex]
Therefore, there are 345 calories in 6 ounces of ice cream.
Answer: it is 345 calories.
Step-by-step explanation: i
A runner times herself to see how long it takes her to run different distances. The table shows. The runners time (in minutes) for running several distances(in miles).
Miles- 1. 2. 3. 4. 6. 8. 10. 12.
Time- 7. 16. 30. 35. 57. 75. 106. 132.
About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to make you prediction.
A) 205 minutes
B) 175 minutes
C) 161 minutes
D) 183 minutes
Also if you know all the answers please let me know also. Thanks!
Answer:
The correct answer is D
Step-by-step explanation:
Please see the attachment
Answer:d
Step-by-step explanation:
Which of the following equations is not a linear equation? a. y = x + 6 b. y2 = x2 + 3 c. x = 5 d. 2x = 3y
A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.
In a non-linear equation, a variable is being raised to a power, which results in a curved line.
Answer:
b. y^2 = x^2 + 3 not a linear equation
Step-by-step explanation:
Linear equations are equations in which the variable is in the first degree, or only to the first power.
a. y = x + 6 Nothing above the first power
b. y^2 = x^2 + 3 X and y are to the second power
c. x = 5 Only to the first power
d. 2x = 3y Only to the first power
what is the absolute value of
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
the absolute value function always returns a positive value, that is
| a | = | - a | = a
| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]
Answer:
8/9
Step-by-step explanation:
when you put 8/9 in the lines it will stay the same.
ex: I7I=7
Which statement cannot be justified given that PBJ = TIM
PB=TI
Angle B = angle I
Angle BJP = IMT
JP=MI
Answer:
JP = MI
Step-by-step explanation:
JP = TI (right)
Angle B = Angle I (right)
Angle BJP = Angle IMT (right: Angle J = Angle M)
JP = MI (wrong: JP = IT)
I hope I helped you.
Answer:
JP = MI
Step-by-step explanation:
In a classroom, 70% of students were in Club A. 45% of students were in Club B. What is the probability of the students that are in both Club A and Club B??
Answer:
15%
17 kids are part of club A and B
A group of students was surveyed and asked to name their favorite fruit. the table shows the results of the survey. Apples 30, oranges 15, strawberries 40, pears 25, and peaches 10.
(It has 3 questions labeled as A, B, and C)
A) what percent of students surveyed prefer strawberries?
B) what percent of students surveyed prefer the least favorite fruit?
C) what percent of students surveyed prefered apples or pears?
a. The percentage of students who prefer strawberries is 33.33%.
b. The percentage of students who prefer the least favorite fruit is 8.33%.
c. The percentage of students who prefer apples or pears is 45.83%.
A) To find the percentage of students who prefer strawberries:
Add up the total number of students surveyed: 30 (apples) + 15 (oranges) + 40 (strawberries) + 25 (pears) + 10 (peaches) = 120 students.
Determine the number of students who prefer strawberries: 40.
Calculate the percentage: (Number of students who prefer strawberries / Total number of students surveyed) * 100 = (40 / 120) * 100 = 33.33%.
B) To find the percentage of students who prefer the least favorite fruit:
Identify the least favorite fruit, which is peaches with 10 preferences.
Calculate the percentage: (Number of students who prefer peaches / Total number of students surveyed) * 100 = (10 / 120) * 100 = 8.33%.
C) To find the percentage of students who prefer apples or pears:
Add up the number of students who prefer apples and pears: 30 (apples) + 25 (pears) = 55.
Calculate the percentage: (Number of students who prefer apples or pears / Total number of students surveyed) * 100 = (55 / 120) * 100 = 45.83%.
So, the answers are:
A) 33.33%
B) 8.33%
C) 45.83%
The detailed answer provides percentages for students preferring specific fruits from a survey.
A) What percent of students surveyed prefer strawberries?
Total students surveyed: 30 + 15 + 40 + 25 + 10 = 120Students preferring strawberries: 40Percent of students preferring strawberries = (40/120) x 100 = 33.33%B) What percent of students surveyed prefer the least favorite fruit?
Least preferred fruit: Peaches (10 students)Percent of students preferring peaches = (10/120) x 100 = 8.33%C) What percent of students surveyed prefered apples or pears?
Students preferring apples or pears: 30 + 25 = 55Percent of students preferring apples or pears = (55/120) x 100 = 45.83%Which ratios form a proportion? A. 9/45,8/40 B. 9/22,14/28 C. 8/12,12!15 D.8/12,12/21
Answer: Choice A) 9/45 and 8/40
------------------------
If you divide both top and bottom of 9/45 by the GCF 9, you get 1/5
If you divide top and bottom of 8/40 by the GCF 8, you also get 1/5
So the original fractions must be the same
------------------------
Another way to check is to use a calculator and see that 9/45 = 0.2 and 8/40 = 0.2, so 9/45 = 8/40
Or you can subtract the fractions and you should end up with 0, so, 9/45 - 8/40 = 0
-------------------------
You can also set up a proportion and cross multiply
9/45 = 8/40
9*40 = 45*8
360 = 360
The last equation is true, so the first equation must be true