Answer:
4 stones is the answer use basic mathematics
Write a recursive formula and an explicit formula for the following arithmetic sequence.
11, 13, 15, 17, 19, ...
A recursive formula is a = INan=.
(Simplify your answers.)
An explicit formula is an =
(Simplify your answer.)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
aₙ₊₁ = aₙ+2, for n ≥1Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=2[/tex]
also
[tex]a_1=11[/tex]
so substituting [tex]d=2[/tex], [tex]a_1=11[/tex] in the nth terms
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=2\left(n-1\right)+11[/tex]
[tex]a_n=2n+9[/tex]
Therefore, the Explicit formula is:
[tex]a_n=2n+9[/tex]
35% of the number of students are boys and if number of girls is 416 then find the total number of students and the number of boys
Answer:
total students = 640
number of boys = 640-416 = 225
Step-by-step explanation:
percentage of girls = 100-35 = 65%
let total number of students be x
100*416/x = 65
41600/x = 65
x= 41600/x
x= 640
Explain how you can use a model to find 6 x 17
Ben has an apartment worth $425,000, a car worth $18,000, and $3,750 in his savings account. He has no other assets. His only debt is the loan he took out to buy his apartment. If Ben's net worth is $316,750, what is the amount of his loan?
Answer:
the answer is B
Step-by-step explanation:
Got it correct on Edge 2020
Answer:
its 130000
Step-by-step explanation:
i had that as my exit ticket for mathcounts :) hope it helps
A bottle of laundry detergent costs $4.95 per bottle. If you have a coupon for $2.00 off and your total is $7.90, how many bottles of detergent did you buy? WRITE AN EQUATION AND SOLVE.
PLEASE HeLP ME!!!! IM TIMED
Answer:
4 units to the left
Step-by-step explanation:
Rewrite the following equation as a function of x 2x^(4)-625-500=0
Choices are below. Will give 15 points for this.
Answer:
Option (D) is true.
Step-by-step explanation:
Given the equation
25x⁴ - 625y - 500 = 0
solving in terms of y as a function of x
[tex]25x^4\:-\:625y\:-\:500\:=\:0[/tex]
Step 1: Add -25x⁴ to both sides
[tex]25x^4\:-\:625y\:-\:500\:+\:\left(-25x^4\right)=0+\left(-25x^4\right)[/tex]
[tex]-625y-500=-25x^4[/tex]
Step 2: Add 500 to both sides
[tex]-625y-500\:+500=-25x^4\:+500[/tex]
[tex]-625y=-25x^4\:+500[/tex]
Step 3: Divide both sides by -625
[tex]\frac{-625y}{-625}=\frac{\left(-25x^4\:+500\right)}{-625}[/tex]
[tex]\:\:y=\:\frac{1}{25}x^4-\frac{4}{5}[/tex]
Therefore,
[tex]\:f\left(x\right)=\:\frac{1}{25}x^4-\frac{4}{5}[/tex]
Thus, option (D) is true.
Raju has some amount saved in his piggy bank. His uncle gave him Rs. 50 as a birthday gift and now Raju has Rs 123 with him.Find how much money he had earlier? ( Write an equation and solve).
123-50=73
Step-by-step explanation:
its pretty basic, subtract the amount his uncle gave him from what he has now
What is the area of a rectangle that is 11ft by 2ft?
Answer: 22 ft²
Step-by-step explanation:
To find the area of a rectangle, we multiply the length and width. It doesn't matter which is which as we get the same answer in the end.
Given information:
Length = 11 ft
Width = 2 ft
Area = length x width
Area = 11 ft x 2 ft = 22 ft²
You'll notice the unit is feet squared or ft², because feet x feet gives us feet².
lil_chris23x 56x34 45x34?? 5yx2X
The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of cheeseburgers sold.
What does the constant term in the above expression represent?
A.
The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.
B.
The constant -10 represents the total money earned by setting up the food stall.
C.
The constant -10 represents the maximum number of cheeseburgers sold by the food stall at the funfair.
D.
The constant -10 represents the cost of each cheeseburger at the food stall
Answer:
C
Step-by-step explanation:
I think so im not sure sorry
There are 20 students in my class. Each student needs: .2 cups, 2 plates, 1 party hat and a pair of earphones. My teacher has 2 boxes with plates and forks. Each box contains 8 plates and 10 forks. Would this be enough for the 20 students? Account for each plate and cup. Explain your answer.
Answer:
Simple, no. This would not be enough.
Step-by-step explanation:
This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.
This question seemed worded differently. But tried my best. :)
Helllpp ASAP The sum of -14.3 and a number is positive. Identify a possible value for that
number. Explain your selection.
Answer: Any number larger than 14.3; one possible value is 20
Note how 20 + (-14.3) = 20-14.3 = 5.7 which is positive.
If we picked something smaller than 14.3, like say 10, then
10+(-14.3) = 10-14.3 = -4.3 which is negative.
----------------
When adding a positive to a negative, you basically subtract the two values. Then whatever the largest value is, that's the sign of your result. For 20+(-14.3), the positive 20 is larger in absolute value so the overall result is positive. On the other hand, the -14.3 is larger in magnitude compared to the 10, which is why 10+(-14.3) has a negative result.
find a constant of proportionality that creates a direct proportion to x and y
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
Here k is called the constant of proportionality.
Taking an example:
For example, let suppose x and y are directly proportional with x = 4 and y = 10.
We can calculate the constant of proportionality using the formula
k = y/x
substitute x = 4, y = 10 in the equation
k = 10/4
k = 2.5
And at x = 5 and y = 12.5
k = y/x
substitute x = 5, y = 12.5 in the equation
k = 12.5/5
k = 2.5
Therefore, we conclude that a constant of proportionality k = 2.5.
Find the missing dimensions in the table. Write the dimensions in simplest form.
Parallelogram
Base
Height
Area
Answer/Step-by-step explanation:
Parallelogram A:
Area = 5x + 20
Base = x + 4
Height = h = ?
Area of Parallelogram = base * height
Plug in the values
5x + 20 = (x + 4) * h
Divide both sides by x + 4
[tex] \frac{5x + 20}{x + 4} = h [/tex]
[tex] \frac{5(x + 4)}{x + 4} = h [/tex]
[tex] 5 = h [/tex]
Height = 5
Parallelogram B:
Area = 8x - 24
Base = b
Height = 8
Area of Parallelogram = base * height
Plug in the values
8x - 24 = b * 8
Divide both sides by 8
[tex] \frac{8x + 24}{8} = b [/tex]
[tex] \frac{8(x + 3)}{8} = b [/tex]
[tex] x + 3 = b [/tex]
Base = x + 3
Parallelogram C:
Area = 12x + 6y
Base = 6
Height = h = ?
Area of Parallelogram = base * height
Plug in the values
12x + 6y = 6 * h
Divide both sides by 6
[tex] \frac{12x + 6y}{6} = h [/tex]
[tex] \frac{6(2x + y)}{6} = h [/tex]
[tex] 2x + y = h [/tex]
Height = 2x + y
11:59 is the deadline please give me the correct answer
Answer:
[tex]6 - 8x = 5x - 10x + 15 \\10x-8x-5x=15-6\\ - 3x = 9 \\ x = \frac{9}{ - 3} \\ x = - 3[/tex]
-3 is the right answer.Answer:-3
the right answer did ths on paper
If the angles of a traingle are in the ratio 2:3:4 , Find Them
Answer:
40°, 60°, and 80°
Step-by-step explanation:
We know that the sum of the angles of a triangle is equal to 180°.
We can use this equation to solve for these angles:
180 = 2x + 3x + 4x
180 = 9x
20 = x
Then substitute the solution in for x to solve for the angles:
2(20) = 40°
3(20) = 60°
4(20) = 80°
Therefore, the angles are 40°, 60°, and 80°.
helpppppppppp pleasssseeee
PLEASE help i’m a little confused what goes where
Answer:I think you find the mean mode miden
Step-by-step explanation:
b. Some other person's sales tax is $1.61. How much was their subtotal?
At a pizza party, where each person had their own pizza, 12 people ate 100% of their pizza, 7 people ate 75% of their pizza, and 3 people only ate 50% of their pizza. What was the average amount of pizza eaten by all people attending the party?
Which expression is not equal to the expression shown?
33 : 3-4
3 x 36
33 x 34
37 : 30
3-3 ÷ 34
ANSWER QUICK AND ILL MARK YOU BRANLIEST
Figure ABCD is a kite. Find the
value of x.
Answer:
X=8
Step-by-step explanation:
2x - 5 = X + 3
-x -x
X - 5 = 3
+5 +5
X=8
Glen has 70 toy cars. 30% of the cars are green. How many cars are green?
a.21
b.35
c.18
d.25
Answer:
21 green cars
Step-by-step explanation:
Answer:
70 x 30/100 = 21
21 cars are green
Step-by-step explanation:
What is the smallest initial velocity that is required to throw a stone 49 feet up on top of a silo?
Answer: the smallest initial velocity that is required to throw the stone is 56 ft/s
Step-by-step explanation:
We know that;
u = initial velocity
v = final velocity = 0
a = acceleration = -g = -32,
s = distance travelled = 49 feet
V² - u² = 2aS
we substitute
0² - u² = 2 × -32 × 49
0 - u² = -3136
u² = 3136
u = √3136
u = 56 ft/s
Therefore the smallest initial velocity that is required to throw the stone is 56 ft/s
Help pleaseee I’m stuck
Answer:
Measure of angle S= 30° as both the triangles are similar and similar triangles have thier angles equal.Now,In triangle QRS,
Angle.Q+an.R+an.S=180
(Angle sum property of a triangle.)
Angle.Q+17°+30°=180
Angle.Q=180-
Answer:
7
Step-by-step explanation:
i did this before
Solve:
At the high school, 1/3 of the students play an instrument. Of the students who play an instrument, 2/3 play a string instrument. What fraction of the students at the high school play a string instrument?
Answer:
2/9 of the high school students play string instruments.
Step-by-step explanation:
[tex] \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} [/tex]
A set of pencils sells for $1.75 and costs $0.40 to make. Twenty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 500 sets are sold, what is the amount of money that will go to the school?
Answer:
$135
Step-by-step explanation:
If each set cost $0.40 to make and sells for $1.75, the profit for each pack is $1.35.
To get 20% of this you do the following: 1.35×0.20
20% of $1.35 is $0.27.
If 500 sets of pencil are sold and the school gets $0.27 from each pack sold, you would multiply $0.27 by 500, which would give you the answer $135.
what is 12x-7 where x=4
Answer:
41
Step-by-step explanation:
12x4=48 -7= 1 and that's my explanation
At a school of 900 students, 20% have blue eyes. A student randomly selects 100 students and finds 17% of them have blue eyes. A second student takes another random sample of 90 students and finds 24% of them have blue eyes. Which of the following explains why there is a difference between the two percentages?
a. The sample sizes were both too small.
b.The samples were not random samples.
c. Both samples suffered from non-response bias.
d. Random error; the numbers were different due to variability inherent in sampling.
Answer:
d.
Step-by-step explanation:
Given that:
In a school;
Population mean = 900
First student:
Sample size = 100
Sample proportion = 0.17
Second student:
Sample size = 90
Sample proportion = 0.24
The difference between the two percentages is a result of the random error because numbers were not the same as a result of variability inherent in sampling.