Answer:
The general rule is [tex]a_n = -2 - 5(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
[tex]a_{n} = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
[tex]a_n = a_m + (n-m)d[/tex]
a3 = -12 and a8 = -37
First we find the common difference. So
[tex]a_n = a_m + (n-m)d[/tex]
[tex]a_8 = a_3 + (8-3)d[/tex]
[tex]-37 = -12 + 5d[/tex]
[tex]5d = -25[/tex]
[tex]d = -\frac{25}{5}[/tex]
[tex]d = -5[/tex]
So
[tex]a_n = a_1 - 5(n-1)[/tex]
Finding the first term:
[tex]a_n = a_1 - 5(n-1)[/tex]
Since [tex]a_3 = -12[/tex]
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_3 = a_1 - 5(3-1)[/tex]
[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]
So the general rule is:
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_n = -2 - 5(n-1)[/tex]
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
a)How many similar figures can be drawn inside the following figures?
Find the limit of area and perimeter
Pls answer fast and will mark brainliest.
Answer: b 5 calories per minute
Step-by-step explanation: you can see that the graph starts at 0 and at the one at the bottom it goes to 5 and then 10 for 2 minutes and so on
Need some help on this question
Answer:
9.We know that
6 × 3 = 2 × x
18 = 2x
x = 9
Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?
Answer:
See Annex
Step-by-step explanation:
The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.
In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :
z(max) = 11
x₁ = x = 2
x₂ = y = 1
the number is a 5 digit number.the value at ones and tens place is the highest single digit number .the hundreds place is double the thousands..the thousands place is double the ten thousands place is number 2 . write the numeral
Answer:
24,899
Step-by-step explanation:
Simplify : -sqrt(9+y)^2 if y<-10
Answer:
−y−9
Step-by-step explanation:
Answer:
9+y is the correct answer
Step-by-step explanation:
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4
Two students went shopping and bought $150 worth of clothes they had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.
Answer:
10.15
Step-by-step explanation:
I divided the worth of clothe and the tax
Do -16 and 16 have the same value
Answer:
No they do not
Step-by-step explanation:
16 is positive -16 is negative they have different values. Hope this helps!
A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.
Answer:
C) The confidence interval is not biased.
Step-by-step explanation:
When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.
The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
What are explanatory and response variables?Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.
The response variables are also called dependent variables and their values depend on the values of the explanatory variables.
For this case, it is considered that:
Explanatory variable: Heart rateResponse variable: Maximal oxygen uptakeIt is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.
Thus, the most important condition that must be checked is:
Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).
Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
Learn more about correlation here:
https://brainly.com/question/10725272
Refer to the table below to answer problems 25-27.
(TABLE) Mark's Personal Running Records Distance Time (minutes:seconds)
1/4 mile: 0:58
1/2 mile: 2:12
1 mile: 5:00
If Mark set his 1-mile record by keeping a steady pace, then what was his 1/2 -mile time during the 1-mile run?
Answer:
it will be 2:50
Step-by-step explanation:
Measuring your fitness level regularly is one way to find out if you're making progress. Most fitness centers have trained staff who can evaluate your body composition, muscular strength and endurance, flexibility, and cardiovascular endurance, but it can be pricey. If you don’t have access to all the toys and tools of your gym, don’t panic. You have everything you need to measure your fitness level in your own house!
This One-Mile Walking Test measures your aerobic (cardiovascular) fitness level based on how quickly you are able to walk a mile at a submaximal (moderate) exercise intensity.
PLEASE HELPPP!!!!!!!!
Answer:
A
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify please
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square
Answer:
Surface area of triangular pyramid = 48 inch²
Step-by-step explanation:
Given:
Base length of triangle = 6 inches
Height of triangle = 4 inches
Find:
Surface area of triangular pyramid
Computation:
Surface area of triangular pyramid = 4 x [Surface area of triangle]
Surface area of triangular pyramid = 4 x [(1/2)(b)(h)
Surface area of triangular pyramid = 4 x [(1/2)(6)(4)
Surface area of triangular pyramid = 4 x [(1/2)(24)]
Surface area of triangular pyramid = 4 x 12
Surface area of triangular pyramid = 48 inch²
For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.
first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent
second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular
9514 1404 393
Answer:
can be congruent or not congruentmust be perpendicularStep-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.
Your blanks can be filled with ...
can be congruent or not congruentmust be perpendicularWe would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).
1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers
Answer:
median: 3
mode: 2 (appeared 4 times)
range: 13
Step-by-step explanation:
Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with a hardy root system. For example, most sweet oranges grow on trees grafted to the root of a sour orange variety. Suppose each graft fails independently withprobability 0.3. Five grafts are scheduled to be performed nextweek. Let X deonte the number of graftes that will fail nextweek.
a. The random variable x is (choose one): binomial, hypergeometric, negative binomial, poisson.
b. Give the sample space and pmf of x.
c. give the expected value and variance of x.
d. Suppose that the cost of each failed graft is $9.00. Find:
i. The probability that the cost from failed grafts will exceed $20.00.
ii. The expected and the variance of the cost from failed grafts.
Step-by-step explanation:
a. The random variable is a binomial distribution.
b. the sample space, X = {0, 1, 2, 3, 4, 5}
the pmf
we solve for this using
nCx * P^x * (1-p)^n-x
n = 5
p = 0.3
for x = 0
5C0 * 0.3⁰(1-0.3)^5-0
= 1 * 1* 0.7⁵
= 0.16807
for x = 1
5C1*0.3¹(1-0.3)^5-1
= 5*0.3(0.7)⁴
= 5x0.3x0.2401
= 0.36015
for x = 2
5C2 * 0.3² * (1-0.3) ^5-2
= 0.30870
for x = 3
5C3 * 0.3³ * (1-0.3) ^ 5-3
= 10 * 0.027 * 0.7²
= 0.1323
for x = 4
5C4 * 0.3⁴ (1-0.3) ^ 5-4
= 5 * 0.0081 * 0.7
= 0.02835
for x = 5
5C5 *0.3⁵ (1- 0.3) ^5-5
= 1*0.00243*0,7⁰
= 0.00243
c. E[X] = N*p = 5*0.3 = 1.5
var[X] = np(1-p) = 5*0.3*0.7 = 1.05
d. 20/9 = 2.222
so we have that if x is greater than or equal to 3, cost will exceed 20
p(x=3) + p(x=4) + p(x=5)
= 0.1323 + 0.02835 + 0.00243
probability = 0.16308
E[C] = 1.5 * 9 = 13.5
VAR[C] = 1.05 * 9 = 9.45
3 units to the right of 8 answer
Answer:
11
Step-by-step explanation:
If you're at 8 and move 3 to the right in a number line, you would end up at 11.
Please help
the diagram shows a cube and a cuboid
Answer:
2197 cm³
Step-by-step explanation:
surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014
surface area of cube = 6 * x² .... x: side length of cube
6x² = 1014
x² = 169
x = 13
volume of cube = x³ = 13³ = 2197 cm³
Nathaniel created the circle graph below
to show the percentage of his free time he
will engage in different activities on Sunday.
Free Time
Drawing Reading
25%
Exercising
30%
Watching
Television
25%
If Nathaniel has 9 hours of free time on
Sunday, which shows the amount of time
he will spend reading?
A 1 hour 8 minutes
B 1 hour 35 minutes
C 1 hour 21 minutes
D 1 hour 48 minutes
Answer:
The real answer is 1 hour and 8 minutes
Step-by-step explanation:
You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:
Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]
Answer:
729
Step-by-step explanation:
We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.
When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.
Therefore,
[tex](3^2)^3=3^{2*3} =3^6[/tex]
[tex]3^6 = 729[/tex]
Let corn denote per capita consumption of corn in bushels at the county level, let price be the price per bushel of corn, let income denote per capita county income, and let rainf all be inches of rainfall during the last corn-growing season. The following simultaneous equations model imposes the equilibrium condition that supply equals demand:
corn = alpha1 price + beta1 income + mu1
corn = alpha2 price + beta2 rainfall + gamma rainfall2 + mu2
Which is the supply equation, and which is the demand equation? Explain.
Answer:
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply
Step-by-step explanation:
Given
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
Required
Identify the demand and the supply equation.
To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.
For (1):
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
We have: Price and Income
For (2):
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
We have: Price and Rainfall
In (1), price and income determines the demand of a product.
Hence, (1) represents the demand equation
In (2), price and weather condition (rainfall) determines the supply of a product.
Hence, (2) represents the supply equation.
Solve the system of equations-y = -1 and -51 - 3y = -15 by combining the equations
Answer:
No solution
Step-by-step explanation:
-y = -1
-51 - 3y = -15
-3y = -15 + 51
-3y = 36
y = -12
y = 1
y = -12
No solution
Help with this equation please
Answer:
[tex]y=-\frac{2}{3}x+6[/tex]
Step-by-step explanation:
Let the equation of the line representing the given table is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the given table,
Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,
m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]
= [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line will be,
[tex]y=-\frac{2}{3}x+b[/tex]
Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],
By satisfying the equation with the given point,
[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]
[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]
[tex]b=\frac{18}{3}[/tex]
[tex]b=6[/tex]
Therefore, equation of the line will be,
[tex]y=-\frac{2}{3}x+6[/tex]
Which rectangle has a greater length?
a. area = 80 cm^2 (5cm)
(?cm)
b. area = 120 cm^2 (8cm)
(?cm)
Answer:
the answer for the question is 1.5
Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped
Answer:
C. Not symmetric; not bell-shaped.
Step-by-step explanation:
In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.
On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.
The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.
Answer:
c
Step-by-step explanation:
VWXY is a parallelogram. Find the value of n.
Help meeee
Answer:
3.5
Step-by-step explanation:
n+7=3n
7=2n
n=3.5
Answer:
n=7/2
Step-by-step explanation:
n+7=3n
-n -n
7=2n
/2 /2
7/2=n
Function or a Relation?
X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19
Answer:
Hi! The answer to your question is Relation
Step-by-step explanation:
To be a function the x values can't repeat, since they do, its a relation
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
[tex]if x^2 = 17x + y \: and \: y {}^{2} = 17y + x \: then \: find \sqrt{x {?}^ + {y { }^{2} + 1 } } [/tex]
Answer:
Bro wat
Step-by-step explanation:
If two coins are tossed what is the probability that the first one will show heads and the second coin will show tails
Answer:
2/4 which simplifies to 1/2
which angle you flip it and how much force you use
