Answer:
The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].
Step-by-step explanation:
A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].
OFFERING 50 POINTS
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.
They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material. These scales are used for this type of testing.
Fabric Grade Number of Double Rubs
(in thousands)
Heavy duty
Medium duty
Light duty
Delicate duty
After performing the tests on each fabric, researchers found that on average, fabric A lasted through 7,900 double rubs and fabric B lasted through 9,200 double rubs.
The marketing department wants to advertise that both fabrics are tested and approved for medium-duty use.
Which statements are true about this situation?
The sales department can refer to fabric A as a medium-duty fabric.
The sales department can refer to fabric B as a medium-duty fabric.
Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
Neither fabric meets the requirements of a medium-duty fabric.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
We have given that,
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.
What is the experiment?
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.
They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.
To learn more about the experiment visit:
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Answer:
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
The sales department can refer to fabric B as a medium-duty fabric.
Step-by-step explanation:
edmentum :)
hello please help i’ll give brainliest
Answer:
it will decrease
Step-by-step explanation:
if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down
Answer:
It will decrease
Step-by-step explanation:
There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.
I think this is the answer.
Given that (√3)^n = 3^x/27^y^1
express n in terms of x and y.
Someone please please help and
Thanks so much
What's the area of the figure?
Answer: it should be 252 in.
Step-by-step explanation:
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What rational number subset(s) do 2, 5, 7, 9, 13 belong to??
Answer:
Natural numbers , whole numbers, Integers
A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.
In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19
A. -5
B. -19
C. 2
D. 1/4
E. 8
Answer:
Leading coefficient is the coefficient of the highest power of x.
[tex]x^5[/tex] is the highest power.
Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]
Option D
Answer:1/4
Step-by-step explanation:
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
PLEASE HELP ASAP!!!!!
A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6
Answer:
0% chance
Step-by-step explanation:
if the cube is 1-6 then 6 is the highest number. there is non higher.
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.
Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
Answer:
hello love! your answer is B :)
Step-by-step explanation:
i got a 100%
Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3
please HELPPPP me !!!!!
Answer:
[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]
EQUATION OF LINE PERPENDICULAR
[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]
[tex]slope, m_2 = \frac{-1}{4}[/tex]
[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]
EQUATION OF LINE PARALLEL
[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]
what is the y intercept of this quadratic function
Answer:
the y-int is at the point (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
f(x)=x²+2x+3
x=0
f(0)=0²+2×0+3
f(0)=3
y=3
(0,3)
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:
Answer:
min 1
Q1 = 6
med = 12.5
Q3 = 14
Max = 19
Step-by-step explanation:
Min simply refers to the smallest value and that is 1
Q1 is the first quartile and the formula is;
Q1 = (n+ 1)/4
where n is the number of terms which is 10
Q1 = (10 + 1)/4 = 2.75
This is approximately 3 and the 3rd term is 6
med is the median value and that is 12 + 13 = 25/2 = 12.5
Q3 is the third quartile
Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14
Max is simply the highest in value and that is 19
Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1
Answer:
Answer B.
x² + 1
Step-by-step explanation:
x=1
Input x= 1 into x²+1 to get y
(1)²+1 = 2
when x=2
(2)²+1 = 5
when x = 3
(3)² + 1 = 10.
when x=4
(4)² + 1 = 17
Hence Option B
Please help!!! I’ll give you the Brainly mark
Answer:
4
Step-by-step explanation:
just look at the graph and find where y is -5 the correlating point is 4
Solve this for pleaseee
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help
Answer:
Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11
garlands and 4 banners
Step-by-step explanation:
I'm not really sure how I got this but it hope it helps!
What is the area of the kite?
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2
Find the measure of
А
E
103°
270
50°
35°
D
B
C
Answer:B
Step-by-step explanation:
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
WILL MARK BRAINLISET IF GOTTEN RIGHT!!
Answer:
12 cm
Step-by-step explanation:
OP = √(15² - (18/2)²)
=√(225- 9²)
=√(225-81)
=√144
= 12
The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?
Answer:
[tex]595.54[/tex]
Step-by-step explanation:
The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].
Substituting given values, we have:
[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]
Simplify the algebraic expression:
7(x + 3)20
Answer:
140x+420
Step-by-step explanation:
7(x+3)20
=140x+420
Answer:
14x+420
Step-by-step explanation:
7(x+3)(20)
=140x+420
Below. What is m∠1?
m∠1 =
Given:
The figure of a triangle.
To find:
The measure of angle 1.
Solution:
Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
Using Exterior angle theorem, we get
[tex]101^\circ =31^\circ +m\angle 1[/tex]
[tex]101^\circ -31^\circ =m\angle 1[/tex]
[tex]70^\circ =m\angle 1[/tex]
Therefore, the measure of angle 1 is 70 degrees.
A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
I really need help with this! I'm having a bit of trouble understanding how to do this since the teacher kind of rushed on explaining things.
Answer:
For problem one:
a. 11
b. 3/11
c. 2/11
d. there are only 2 chips
e. 3/11