Answer:
-2
Step-by-step explanation:
A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1
Answer:
a(7) = 21
Step-by-step explanation:
Using the recursive formula and a(1) = 0, a(2) = 1 , then
a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1
a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3
a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5
a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11
a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21
There are 8 boys and 12 girls in mr.Rossi’s class. One student Will be chosen randomly to represent the class at the conference of seventh grade. What is the probability that the representative will be a girl?
Step-by-step explanation:
[tex]8 + 12 = 20 \\ probability \: = expected \: outcome \div possible \: outcome \\ \\ \\ \frac{12}{20 } = \frac{3}{4} [/tex]
10 points. Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I will report fake, incomplete, and wrong answer! Answer wisely will clear explanation!!
Answer:
The answer (in scientific notation) should be 1.8 x 10^2.
Step-by-step explanation:
(2 x 10^6) x (0.00009) = ?
(2 x 1,000,000) x (0.00009) = ?
2,000,000 x (0.00009) = 180
180 as a scientific notation is 1.8 x 10^2.
PLEASE HELP ILL GIVE U BRAINLEST PLUS 50 POINTS IF U GET IT RIGHT
Answer:
[tex]-10x^{2}-9x-6[/tex]
Step-by-step explanation:
Combining like terms:
[tex]-7x^{2}-3x^{2}-10x+x-6[/tex]
[tex]-10x^{2}-9x-6[/tex]
Which of these curves on the graph below could indicate a function?
Answer:
A
Step-by-step explanation:
Vertical Line test will determine if a graph is a function or not
how do i find the mean and median for this line of numbers?
42,51,64,55,51,54,51,69
Answer:
52.5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Answer:
The mean is 47.875 and the median is 51
Explanation:
To find the mean you have to add up all of the numbers together, and then divide that number (383) by how many numbers there are (8) so then you would get 47.875. Now you have to find the median. To find the median you have to place the numbers from the lowest to the greatest which would be 42, 51, 51, 51, 55, 64, 69. Then you basically just pick the number in the middle which is 51, so 51 is the median.
What is the length of the each side?
please someone help
Answer:
each side 5
Step-by-step explanation:
with 2 equal internal base angles, we know this is an isosceles triangle
this being isosceles also tells us that the 2 opposite sides are also equal
Therefore: x + 2 = 3x - 4
solving for x
x - 3x = -4 -2
-2x = -6
x = -6 ÷ -2
× = 3
substituting x:
x +2 = 3 + 2 = 5
3x-4 = 9 - 4 = 5
Pls help me..... It due ASAP
Answer:
D
Step-by-step explanation:
D is the right answer for the question
h (x) = x + 4; Find h (x – 3)
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the expressions into x :
h(x) = x + 4
h(x - 3) = (x - 3) + 4
h(x - 3) = x - 3 + 4
h(x - 3) = x + 1
(can someone give me like 300pts? Please and Thank u) Whats the square root of 5923?
I need help with these questions! :)
Last word is sorta cut off but it’s musee
Answer:
17. We study French
a. at school
b. to the building
c. at the theatre
18. Philippe watches TV in
a. the bathroom
b. the street
c. the living room
19. the car and the bikes are in
a. the garage
b. the living room
c. the kitchen
20. There is a good cinema and a Mexican restaurant in my
a. garage
b. district
c. Museum
can you please give me brainliest this was very hard
thanks
-kitten
On a team, 7 girls and 2 boys scored a total of 64 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
129 million I took the application already
Identify the scale factor when we scale up from Figure S to T. Just write the number.
Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}[/tex]
Since, S is being dilated with a scale factor to form T,
So, the figure S is the preimage and figure T will be the image,
Length of one side of image T = 8
Length of one side of preimage = 2
Therefore, Scale factor = [tex]\frac{8}{2}[/tex]
= 4
Scale factor by which figure S has been dilated to form figure T is 4.
Bridget and Caroline win some money and share it in the ratio 5:3. Bridget gets £65. How
much did they win in total?
Answer:
£104
Step-by-step explanation:
5:3 = 65:X
65÷5=13
X=13×3
x=39
total=65+39
total=104
Find the unit rate.
$11.40 for 6 gallons
Answer:
$ 1.90 for 1 Gallon
Step-by-step explanation:
11.40/6 = 1.90
another way you can show the answer is: $1.90/1 Gal.
What is the solution to the equation? -3x + 7 = -2
simplify. enter the answer in the box. PLEASE I NEED IT ASAP
Answer:
21√7
Step-by-step explanation:
there is 3/5 liter of milk left in a container. A child drinks 2/3 of it. How many liters of milk does the child drink
Answer:
6/15
Step-by-step explanation:
3/5*2/3=6/15
draw a number line with the solution to :1/4 - 1/2
Diana and Sujit clean homes for a summer job. They charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. How much money did they receive for their job?
Answer:
Yes! Total received was $84.525
Step-by-step explanation:
Note that 5% is another way of writing
5
100
Charge:
→
$
70
+
(
5
100
×
70
)
=
$
73.5
15% tip
→
15
100
×
Charge
→
15
100
×
$
73.5
=
$
11.025
Total income:
→
$
73.5
+
$
11.025
84.525
=
$Did they receive more than $82
→
Yes
Answer:
Total received was $84.52
What is the equation of the blue line?
Answer:
Step-by-step explanation:
The blue line is the translate in the direction of the red line by , and therefore has equation y = 3 ( x − 4 ) + 5 or y = 3 x − 7 .
The linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
As we can see from the graph of the linear equation:
The x-intercept a = -1
And the y-intercept b = -1
We know the linear equation in terms of a and b can be modeled:
[tex]\rm \frac{x}{a} +\frac{y}{b} =1\\\\\rm \frac{x}{-1} +\frac{y}{-1} =1\\\\[/tex]
x + y = -1
y = - x - 1
Thus, the linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
The Barber are keeping track of their family energy costs. It costs the Barbers $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answer:
It will cost them $8.32 to run their dishwasher for 52 weeks.
Step-by-step explanation:
With the information provided, you can say that the cost to run the dishwasher is equal to the cost per week for the number of weeks, which would be:
Total cost=$0.16*number of weeks
Since you want to determine the cost to run the dishwasher for 52 weeks, you can replace the number of weeks in the formula to get the answer:
Total cost=$0.16*52
Total cost=$8.32
According to this, the answer is that it will cost them $8.32 to run their dishwasher for 52 weeks.
Savannah shoped 98 glass bowls to her mother. If she divided the bowls equally among
8 boxes, how many bowls did Savannah put in each box?
You work as a taxi driver. you earn an average of $75 in tips everyday.
Which graph best represents the relationship between time and the cumulative total of your tips?
Answer:
A
Step-by-step explanation:
it should be A because if
x-axis represents the time, at the beginning of the day x = 0 and
y-axis the $, at the beginning of the day should be y= 0
Answer:
a linear graph would best represent the relationship
Step-by-step explanation:
just did the khan academy thing
Mai is making personal pizzas for a party she uses 10 ounces of cheese to make four pizzas at this rate how much cheese will she need to make 18 pizzas?
Answer: 45
Step-by-step explanation:
From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:
= 10/4 = 2.50 ounces per pizza
Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:
= 2.50 × 18
= 45 ounces of cheese
What is a force described by
Answer:
a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).
Step-by-step explanation:
PLS HELP ITS TIMED!!!
In 5 years, radioactivity reduces the mass of a 100-gram sample of an element to 75 grams. Find the constant k for this element for t in years, the write the equation for modeling this exponential decay
Value of constant 'k' = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Rule for the radioactive decay: Rule for the radioactive decay is given by the expression,
[tex]\text{ln}\frac{N}{N_0}=-kt[/tex]
Here, N = Amount remaining after 't' years
N₀ = Initial amount of the radioactive element
k = Constant
t = Period of decay
Given in the question,
N = 100 gms N₀ = 75 gms t = 5 yearsSubstitute these values in the expression for the value of 'k',
[tex]\text{ln}\frac{75}{100}=-7k[/tex]
[tex]k=\frac{1}{7}[(\text{ln}(75)-\text{ln}(100)][/tex]
[tex]k=\frac{1}{7}[4.317488-4.605170][/tex]
k = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Therefore, value of constant 'k' = -0.041097
Equation modeling the exponential decay → [tex]\text{ln}\frac{N}{N_0}=-0.41097t[/tex]
Learn more about the radioactive decay here,
https://brainly.com/question/9660135?referrer=searchResults
In the circus, a lion has been trained to jump through a ring of fire. The trainer measures the ring and calculates that it has a circumference of 6.28 meters. What is the ring's diameter?
Answer:
6.28 x 3.14 = 19.7192
Step-by-step explanation:
-. The ratio of boys to girls at a birthday party is
4:5. If there are 35 girls, how many boys are
there?
Answer:
28
Step-by-step explanation:
The 5 part of the ratio represents 35 girls , then
35 ÷ 5 = 7 ← value of 1 part of the ratio, then
4 parts = 4 × 7 = 28 ← number of boys
Answer:
28 boys
Step-by-step explanation:
4*35=140
140/5=28
so 28 boys