Answer:
a) 26 sticks
b) an = 6 +4(n -1)
Step-by-step explanation:
You have patterns of sticks that have 6 sticks in the first pattern, 10 sticks in the second pattern, 14 sticks in the third pattern, and you want to know the number of sticks in the 6th pattern and in pattern number n.
b) Arithmetic sequenceYou have a sequence of patterns with 6, 10, and 14 sticks. The first pattern has 6, and the following patterns each have 4 more than the one previous. The sequence of numbers is an arithmetic sequence with a first term a1=6, and a common difference d=4.
The n-th term of such a sequence is given by the formula ...
an = a1 +d(n -1)
For the first term and common difference in this sequence, the number of sticks in pattern n is ...
an = 6 +4(n -1)
a) Sixth patternWhen n=6, the number of sticks is ...
a6 = 6 +4(6 -1) = 26
There would be 26 sticks in pattern 6.
Frank I puts £5000 in a bank account for 6 years with an interest rate of 7.5% . what is the Amount at the end of that time?
Answer:
£2250
Step-by-step explanation:
Interest= p×r×t÷100
Interest= 5000×7.5×6÷100
Interest= 225000÷100
Interest= £2250
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply.
A. 25
B. -18
C. -4
D. 0
Answer:
Step-by-step explanation:
Your answers are -18 and -4
D
E
1. Which angle is vertically opposite to DGE
Answer:
BOF
Step-by-step explanation:
I am not sure but if you line it up you'll get it
Answer:
angle BGF
Step-by-step explanation:
angle BGF is vertically opposite to angle DGE
A football team gains 8 yards in one play, then loses 5 yards in the next. What is the team’s total yardage for the two plays?
Answer:
+8yds - 5yds = +3yds
Step-by-step explanation:
Mary has read 76% of her book and it’s on page 114. how many pages are in the book?
Answer:
150 pages
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76x
Divide 0.76 by 114
x = 150
There are 150 pages in the book
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
150 pages. Mark me brainiiest.✌✌
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76.
Divide 0.76 by 114 x = 150.
There are 150 pages in the book.
Use a graphing calculator to find the value of f(x) when x = 2 for the function f(x)=x2-5.
Answer:
-1
f(2)= 2* 2 - 5 = -1
but if you meant f(x)=x²-5
its
f(2)=2²-5 = 4-5 = -1
it's indeed not the same for all other values of x, for example x=3!
(would really appreciate the brainliest)
A cookie jar contains 9 chocolate chip, 5 oatmeal, and 6 sugar cookies. What is the probability that a cookie selected at random will be a chocolate chip cookie? Group of answer choices
Answer:
0.45 or 45% or 9/20
Step-by-step explanation:
Altogether you have 20 cookies, and you have 9 chocolate chip cookies.
Which of the following describes the parabola with the equation y = 4x2 - 12x + 9?
A) The axis of symmetry is x = 0 and the vertex is (0,9).
B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
C)The axis of symmetry is x = 4 and the vertex is (4, -12).
D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).
Answer:
Step-by-step explanation:
To find the vertex of this parabola, "complete the square:" Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:
y = 4x^2 - 12x + 9 => y = 4(x^2 - 3x) + 9.
Now complete the square of x^2 - 3x: Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4. Add 9/4 to x^2 - 3x and then subtract 9/4 from the result: We get x^2 - 3x + 9/4 - 9/4. Substitute this result back into
y = 4(x^2 - 3x) + 9: y = 4(x^2 - 3x + 9/4 - 9/4) + 9
and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:
y = 4(x - 3/2)^2 - 9/4) + 9. This simplifies to:
y = 4(x - 3/2)^2 + 0.
Thus, the vertex is at (3/2, 0) and the axis of symmetry is x = 3/2. This agrees with Answer B.
4(2x - 1) + 2x + 2 = 28
Answer:
x=3
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable
Step-by-step explanation:
8x-4+2x+2=28
10x-2=28
10x=28+2
10x=30
x=3
There area of a wall is 600 square feet.
How much paint is needed if there is 8 liters per square feet?
Answer: i think about 4800 liters
Step-by-step explanation:
600 feet/ by 8 liters of sq ft is 4800
A pine is 35 and one half feet tall, and grows 3 and one half feet each year. A redwood is 43 feet tall, and grows 3 and one half feet each year. How tall will each tree be after 21 years?
Answer:
Pine would be 108.5 Redwood would be 116.5.
Step-by-step explanation:
Since they both grow the same amount, we just add their original number by 73.5.
4/7 - -3/5 pls answer
Answer:
Step-by-step explanation:
when operating with two negative signs, the signs change to positive. so, the question becomes;
4/7 + 3/5
find LCM of the denominators then calculate, or just use a calculator.
the answer is 41/35 or in mixed fraction = 1 and 6/35
The roots of the function f(x) = x2 - 2x - 3 are shown. What is the missing number
x= -1 and x =
Answer:
3
Step-by-step explanation:
edge 2022
Describe a general procedure to find the surface area of any figure.
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
To find the total surface area of a figure, we need to add all the areas of every surface and add them.
What is the surface are?
The surface area of a figure is the total area of the outside of the figure.
If the surface area of a particular figure is just only one type (ex: sphere), then the calculation of the surface area will be easier.
If the surface of a figure consists of different types of geometrical figure(ex: cone), then we need to find the area of each and then add them.
Learn more about the surface area of a figure here: https://brainly.com/question/10026601
#Tag #SPJ2
The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each pizza and each drink cost?
Answer:
Each pizza costs $12.
Each drink costs $2.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of each pizza.
y is the cost of each drinks.
The Talbot family got 2 pizzas and 4 drinks for $32.
This means that [tex]2x + 4y = 32[/tex]
The Martinez family got 3 pizzas and 8 drinks for $52.
This means that [tex]3x + 8y = 52[/tex]
Using the addition method, multiplying the first equation by -2.
-4x - 8y = -64
3x + 8y = 52
-4x + 3x - 8y + 8y = -64 + 52
-x = -12
x = 12
Each pizza costs $12.
2x + 4y = 32
2x + 4y = 32
4y = 32 - 2x
4y = 32 - 2*12
4y = 8
y = 2
Each drink costs $2.
You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on the results of the survey, predict the number of students in the school whose favorite ice cream flavor is chocolate.
Answer:
351
Step-by-step explanation:
Complete question :
Vanilla= 36
Chocolate=21
Strawberry=24
Chocolate Chip=39
SOLUTION:
39 chocolate chip to 200 students = x chocolate chip to 1800 students
39/200 = x / 1800
Solving for 'x'
(200)(x) = (39)(1800)
200x = 70200
x = 70200/200
x = 351
OR
39 out of 200 picked chocolate chip
therefore, 39/200 = 0.195 = 19.5% ( 32.5% chose chocolate chip)
19.5% of 1800 = 0.195(1800) = 351 students
A painting is 2 inches tall and 3 inch wide if it is enlarge to a width of 15 in then how tall will it be
Answer:
30 inches
Step-by-step explanation:
You would have to multiply 2×15 to get 30inches, which is how tall the painting would be. Hope this helped!
David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take as a ratio in its simplest form.
i'm not sure how to do it
Answer:
61 : 60
Step-by-step explanation:
Well to make a ratio, you just have to have David time : Mark time
So if you convert Mark's time into minutes, it is 60 minutes
61 : 60
That's the simplest form.
Answer:
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
Step-by-step explanation:
A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.
David takes 61 minutes to do a task.
Mark 1 hour to do the same task. 1 hour = 60 minutes.
You are comparing David's time to Mark's time.
The ratio of David's time to Mark's time is 61 minutes to 60 minutes.
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
Please help me. I been stuck for over an hour
Answer:
Step-by-step explanation:
P(a|b)= this mean the probability that a happens given that you already know b has occurred.
So for this P(work|senior) is the probability you will pick someone who works give you know they work. So you look for the over lap between seniors and work in the table and divide it by the number of seniors.
In this case:
P(Work | senior)= 5/(25+5+5) = 5/35 = 1/7
Answer:
14
Step-by-step explanation:
NEED HELP ASAP - 45 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
When an 8kg mass is hung from a vertical spring, it stretches 12 cm. Calculate the spring constant “k”.
Answer:
the spring constant is 34 degrees going left down
Step-by-step explanation:
Brain made a tasty burger. The diameter was 5 cm. What is the radius of the circle?
Answer: 2.5 cm
Step-by-step explanation:
5/2=2.5
The radius is half the diameter to just divide the diameter by 2 to find the radius.
2 Points
Multiply the polynomials.
(x + 3)(3x2 + 8x + 9)
A. 3x3 + x2 + 33x+ 213
B. 3x3 + 17x2 - 15x+27
C. 3x3 + 17x2 + 33x-27
D. 3x3 + 17x2 + 33x + 27
Answer:
3x³ + 17x² + 33x + 27
Explanation:
(x + 3)(3x² + 8x + 9)
= (x + 3)(3x² + 8x + 9)
= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)
= 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27
In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were 202020 soccer teams, and each team played a total of 383838 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games.
Answer:
Option B. y = 14x - 3.5
Number of wins for the team will be 24.5
Step-by-step explanation:
Since line of best fit passes through two points (0.25, 0) and (0.75, 7)
Let the equation of the line of best fit is, y - y' = m(x - x') + c
Here 'm' = Slope of the line
= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{7-0}{0.75-0.25}[/tex]
= [tex]\frac{7}{0.5}[/tex]
m = 14
Equation of the line of best fit passing through a point (0.25, 0) will be
y - 0 = 14(x - 0.25)
y = 14x - 3.5 [Option B]
Now number of wins for a team that scores 2 goals per match will be,
For x = 2
y = 14x - 3.5
y = 14×2 - 3.5
= 28 - 3.5
= 24.5 wins
Therefore, number of wins for the team will be 24.5
Answer:
B on khan and 24.5
Step-by-step explanation:
A shoe dealer purchased net Birr 8,000 worth of shoes from a shoe company.A Find the amount it is to pay the company including VAT.BIf the dealer sold the shoes for Birr 12,000, find the amount of VAT liable tothe dealer.
Answer:
A) Total amount to be paid = Birr 8,560
B) Amount of VAT liable to the dealer = Birr 520
Step-by-step explanation:
The tax on bought commodity and the tax on sold commodity isn't provided but in some places, these values are 7% and 9% respectively. So, these are the values that will be used for this question.
Note that these values vary from country to country and the value missing from this question will not change how the question is solved; the question will still be solved in a similar manner, only the parameters will vary.
A) The dealer bought Birr 8000 at 7% tax.
Total amount to be paid = cost price (1 + r%)
r = 7% = 0.07
Total amount to be paid = 8000 × 1.07 = Birr 8,560
B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.
Tax paid when the shoes were bought = 7% of cost price = 7% × 8,000 = Birr 560
Tax paid when the shoes were sold = 9% of selling price = 9% × 12,000 = Birr 1,080
VAT = tax recovered on sale - Tax paid on purchase
VAT = 1080 - 560 = Birr 520
Hope this Helps!!!
1 (4x – 8) + 3x = 36
how to know the difference between, irrational, rational, whole, ext
Answer:
Here is how
Step-by-step explanation:
Whole is just a number.
rational is a number that can be expressed a fraction
irrational is a number that can not be expressed as a fraction
what is the slope of the line that passes through the points (6, -3) and (1, 7)
Answer:
-2
Step-by-step explanation:
A trailer truck carries 11,430 bottles, each weighing 14 ounces.To the nearest ton, how much weight does the truck carry
Answer:
10
Step-by-step explanation:
[tex]11430\cdot 14 = 160020[/tex] ounces
[tex]160020\div 16=10001.25\approx 10[/tex] tons.
Hope this helps!
The required weight that the truck carried in ton is 5.
What is Unitary Rule?In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones
How to calculate unitary method?Here we have given truck carry
11,430 bottles
If each bottle weight = 14 ounce
Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce
Also we have
1 ton = 32000 ounce
Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton
Therefore the required weight in ton of total weight 160020 ounce is
= [tex]\frac{160020}{32000}[/tex]
= 5
This is the conclusion to the answer.
Learn more about unitary method here-
https://brainly.com/question/8083231
#SPJ2
Predict: How do you think the formula for area of a triangle will relate to the formula for area of a rectangle? Do you
think it is the same area formula?
Answer:
I think is the same formula area .A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Step-by-step explanation:
The area of a rectangle is given by the relation length* width. The area of a triangle is given by the relation (1/2)*base* height. Now we know that the two have the same area equal to 150 cm^2. Also, when placed on the same level the tip of the triangle touches the upper edge of the rectangle.
PLEASE HELP URGENT!!!!!
WILL MARK U AS BRAINLIEST!!!!!
Answer:
B.
Step-by-step explanation:
Well in a secant - secant angle, the measure of E is equal to half the measure of CD - AB. You can calculate CD by subtracting 325 from 360.
CD = 35
E = 1 / 2(85 - 35)
E = 25
Answer:
B.
Step-by-step explanation: