ILL MARK BRAINLEIST.
Find the Pattern If the pattern continued, how many orange blocks would be in the next figure? Can you write a linear function (y = mx + b) that gives the number of blocks for any figure?
Answers
Answer:
Part A
aₙ = 5 + (n - 1)·4
Part B
y = 4·x + 1
Step-by-step explanation:
Part A
The number of orange blocks in Figure 1 = 5
The number of orange blocks in Figure 2 = 9
The number of orange blocks in Figure 3 = 13
Therefore, we get;
5, 9, 13, ... with increments of 4
The first term, a = 5
The common difference, d = 4
The sequence is in the form of an Arithmetic Progression, therefore, we have;
aₙ = 5 + (n - 1)·4
Where;
n = The Figure number
When n = 3, we have;
a₃ = 5 + (3 - 1) × 4 = 12 orange blocks as in the diagram in the question
Part B
To express the number of blocks using the linear function, y = m·x + b, we have;
Let 'x', represent the number of each figure, let 'y' represent the total number of blocks in each figure, let 'd' represent the initial amount of blocks present when x = 0, and let 'm' represent the rate of change of 'y' with each change in 'x'
We note that the rate of change the total number of blocks for each increase in figure number is 4, therefore, we have;
The rate of change, m = 4
∴ y = 4·x + d
When x = 1, y = 5, we get;
5 = 4 × 1 + d
∴ d = 5 - 4 = 1
d = 1
The linear equation that gives the number of blocks is therefore;
y = 4·x + 1.
Related Questions
Need help I'll give branlist plzzzz
Answers
B) The formula of a cylinder is pi r^2
π(7)^2
Area= 49 π
calculate the following showing populations the temperature in Johannesburg was 15° it drastically decreased by 17 °c what is the temperature now
Answers
Answer:
-2 degrees Celsius.
Step-by-step explanation:
15 - 17 = -2
how do i make my grades go up quickly- yes in all subjects plz help me
Answers
Answer:
Step-by-step explanation:
A way to make your grades go higher is by asking your teacher for extra credits. If you fail some quizzes ask your teacher to re-take it to get a better grade, another way is ask your teacher for assistance on assignments.
will be giving brainliest to the correct one, no links or account will be reported:)
Answers
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Answer:
Step-by-step explanation:
(x+78)+(x-12)+x=180
3x+66=180
3x=114
x=38
P=26
In the morning, the temperature was –3°. At noon, the temperature was 4° warmer than in the morning. What was the temperature at noon?
A
–7°
B
1°
C
–1°
D
7°
Answers
Answer:
The answer is A / because the morning temperature is -3 and the temperature in noon is 4 so The total temperature is -7
Step-by-step explanation:
its correct I HOPE I HELP YOU
Patrick’s drawing uses a scale of 1 inch = 10 meters. Squidward made another scale drawing of the hotel with a scale of 2 cm = 40 meters. How tall is the hotel on Squidward’s drawing?
Answers
Answer:
10 m building in Patrick's drawing would be of 0.5 cm
Step-by-step explanation:
Scale of Patrick's drawing is
1 inch = 10 meters
or 2.54 cm = 10 meters
1 cm = 3.94 m
In case of Squidward the scale is 2 cm = 40 meters or
1 cm = 20 meters
So a 10 m building in Patrick's drawing would be of
0.5 cm
Answer:
13.5
Step-by-step explanation:
Given: Patrick’s drawing uses a scale of 1 inch = 10 meters. Squidward made another scale drawing of the hotel with a scale of 2 cm = 40 meters.
To find: How tall is the hotel on Squidward’s drawing?
Formula: Height of the building = y × tan x + measurer's height
Solution: The height of the building is calculated by using the formula. y = distance of the measurer from the building. x = the angle measured from the clinometer.
Find the distance between the points
Answers
Answer:
12 hope this help
Step-by-step explanation:
PLZ HELP I BEG U!! 100 POINTS
Answers
For lower cuboid
l=16m
b=9n
h=6m
For upper cuboid
l=9m
b=2m
h=6m
Note: volume of cuboid =l×b×h
total volume =lower cuboid +upper cuboid
=16*9*6+2*6*9=972m³
Answer:
972 m³Step-by-step explanation:
The volume is the sum of volumes of two rectangular prisms:
V = lwhV = 16*9*6 + 2*6*9 = 972 m³(x+1)^2 = -4
What are the solutions?
Answers
Answer:
x = 4i - 1 or
x = 4i + 1
Step-by-step explanation:
(x+1)^2 = -4
x+1 = (+-)4i
x = +-4i - 1
==>
x = 4i - 1 or
x = 4i + 1
The cost of 3 1/4
kg apples is ₹ 130. Find the cost of 1 kg of apples.
Answers
Answer:
₹ 40
Step-by-step explanation:
the cost of 1 kg = 1/ (3¼) × 130
= 1/ (13/4) × 130
= 4/13 × 130 = 40
Solve for x. Round to the nearest hundredth.
B
570
A
10.8
C
Answers
Answer:
58.014
Step-by-step explanation:
hope it really helps your friend
find the zeros and the axis of symmetry of the parabola
Answers
Answer:
Below
Step-by-step explanation:
The zeros would be 2 and 4
The axis of symmetry is 3
:)
Here are two stories: The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll. There are then 830 students in the freshman class.
A store reduces the price of a computer by $20. Then during a 10% off sale, a customer pays $830
here are two equations: 0.9x+20=830, 0.9(x-20)=830
A. Decide which equation represents each story.
B. Explain why one equation has parentheses and the other doesn't.
C.Solve each equation, and explain what was the solution means in the situation.
Thank you to the people that answered my questions!
Answers
Using proportions, it is found that:
a. The equations are related to the stories as follows:
0.9x+20=830 = Class in college.0.9(x-20)=830 = Computer price.b. The parenthesis is because of the 10% reduction was applied over the value subtracted by $20.
c. The solutions are given as follows:
x = 900: Size of the freshmen class in the previous year.x = 942: Original price of the computer.What is a proportion?A proportion is a fraction of a total amount, and are used along with basic arithmetic operations such as multiplication or division to find the desired measures in the context of a problem.
One example of application of proportions is for percentage problems, as the decimal equivalent of the percentage, considering discounts or increases, is multiplied by the total amount to find the equivalent amount.
For the college class, we have that:
It is 10% smaller than last year's amount of x, that is, 90% of x = 0.9x.Then 20 is added to this amount, that is, 0.9x + 20.The equivalent amount is of 830 students, hence the equation is:
0.9x + 20 = 830
The solution is found as follows:
0.9x = 810
x = 810/0.9
x = 900.
Which is the size of the freshmen class in the previous year.
For the computer in the store, we have that:
The price of x was reduced by $20, hence x - 20.Over the price reduced by $20, a reduction of 10% was applied, hence the price paid is of: 0.9(x - 20).This price is of 830, hence the equation is:
0.9(x - 20) = 830
The solution, which is the initial price of the computer, is found as follows:
x - 20 = 830/0.9
x = 20 + 922
x = 942.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
HELP KE PLEASE HELP I NEED HELP
Answers
Answer:
A
Step-by-step explanation:
2 negatives make a positive
5/11x6/7 = 5/14.........................................
Answers
Because 5/11x6/7 =30/77
Answer:
[tex]5 \div 11 \times 6 \div 7 = \frac{30}{77} [/tex]
If P( 9,r ) = 3,024, what is r ?
plz plz plz... help mè
I mark it... :(
Answers
Answer:
[tex] \frac{9i}{(9 - r)i} = 3024 \\ (9 - r)i = 9i \div 3024 = 362880 \div 3024 = 120 = \\ = 1 \times 2 \times 3 \times 4 \times 5 = 5i \\ r = 4[/tex]
what is the slope line perpendicular to the equation 4x+3y=9
Answers
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
5 of 10
A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.
Answers
Answer: 1/3
Step-by-step explanation:
numbers more than 4 are: 5, and 6
so 2/6 chance of rolling a number greater than 4
in simplest form this is 1/3
Answer:
number 4 are t is greater
I need answer Immediately pls!!!!!!
Answers
Answer:
1/3
Step-by-step explanation:
Total number of people who play sports in the Algebra 2 class:
[tex]21 - 9 = 12[/tex]
If there are 10 students who play Basketball, there are 2 students who ONLY play Baseball. If there are 9 students who play Baseball, there are 3 students who ONLY play Basketball.
So the number of students who play BOTH sports is:
[tex]12 - 2 - 3 = 12 - 5 = 7[/tex]
If 7 from the 21 Algebra 2 class students play BOTH sports, the probability is:
[tex]P = \frac{7}{21} = \frac{1}{3}[/tex]
The length of a shadow building is 28 m the distance from the top of the building to the tip of the shadow is 38 m find the height of the building if neccessary round your answer nearest tenth
Answers
Answer:
25.7m
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
28^2+b^2=38^2
784+b^2=1444
b^2=660
b=25.6904652 or 25.7m
In the diagram below, line t intersects parallel lines r and s.
2
4
3
5
6
8
s
7
If the measure of 23 = 68°, what is the measure of 28?
Answers
Answer:
112
Step-by-step explanation:
Supplementary Angle Theorem
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answers
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
Tell whether the statement is always, sometimes, or never true. Explain.
1. If x and y are supplementary angles, then y is acute.
2. If x and y are complementary angles, then x is obtuse.
Answers
Answer:
1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.
2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.
Step-by-step explanation:
Answer:
1) Sometimes
2) Never
Step-by-step explanation:
1) you could have two angles add up to 180 degrees and one of them could be less than 90
example, x = 140° and y = 40°
2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles
a. Complete the table of values for the relation y = - 6. Please answer each question in the box provided.
x y = - 6
-6
-3
0
3
6
9
Answers
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
:
I NEED HELPPPPP PLEASE
Answers
Answer:
66 ft^2
Step-by-step explanation:
2 x 3 = 6
5 x 12 = 60
6 + 60 = 66
Answer:
A=A1 + A2
A= (l×w) + (l×w)
A= ((12-3)×5) + (3×(5+2))
A=66 ft^2
Mary was writing a test. On the test there was a question which was "What is the square root of 30?" How can you estimate the square root of 30?
After she was done the test. she got it back from the teacher and the mark she got was 26/30. Find the percentage of her mark.
Answers
Answer:
86.6%
Step-by-step explanation:
1. Divide the amount of points Mary got from the test by maximum amount of points
26/30≈0.866
2.Multiply that by hundred
0.866*100=86.6
Answer: 86.6%
Help help help help help help dont troll
Answers
Answer:the correct answer is C
Step-by-step explanation:
Solve for x
3 = x/2
X =
Answers
Answer:
6
Step-by-step explanation:
3=x/2
Multiply both sides by 2
Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena has sold a total of 3,017 of the books in local bookstores. She sold 3 times as many copies of the soccer book as the baseball book. She sold the same number of copies of the basketball book as the soccer book. How many copies of the soccer book has she sold?
Answers
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
find the area of the shape below
Answers
Answer:
114
Step-by-step explanation:
Answer:
Area = 115 yards
Step-by-step explanation:
If we look at this as two rectangles, you can see that the area of one is going to be 10yd multiplied by 9yd, which gives us 90yd. The other smaller rectangle will be 6yd multiplied by 4yd, which gives us 24yd.
Now, add the two areas back together to get the area of the whole shape and you get A=115yd.
Hope this helps!