The formula for the general term and of the sequence is ±8.
What do we mean by sequence?A sequence in mathematics is an enumerated collection of objects in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the sequence is defined as the number of elements (which could be infinite). Unlike a set, the same elements can appear multiple times in a sequence at different positions, and the order does matter. Formally, a sequence can be defined as a function from natural numbers (the sequence's positions) to the elements at each position. The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not is numbered to another set of elements.To find the formula for the given sequence:
Given sequence: 8, 0, 8, 0, So, the formula cen be ±8.+8 to get the terms of odd numbers and -8 to get the terms of even numbers.Therefore, the formula for the general term and of the sequence is ±8.
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Suppose that the height of the slide is 2 feet, when x = 20. what is t brainlyhe average rate of change over the entire slide?
The average rate of change over the entire slide is 0.01 per unit.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line
Given,
the height of the slide = 2 feet
the value of x is 20 units
The average rate of change is the slope of the line
Therefore, the rate of change over the entire slide will be,
Rate of change = 2/20 = 0.1 feet per unit
Hence, the rate of change is 0.1 feet per unit.
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Which number below is more than 15 but less than 16?
O√225
O√247
O √256
O √265
Answer: √247
Step-by-step explanation:
15^2=225. 16^2=256. n=number
n^2>225 and n^2<256
√225=15.
√247=15.7 ==> 2nd option. 247>225 and 247<256. 15.7>15 and 15.7<16
√256=16
√265=16.3
Michael is planning a trip to Hooperville. On the map, it is 3.5 inches from his home town. The map’s scale is 1.5 inches : 50 miles. How far away is Hooperville from his home town?
The real distance between Hooperville and Michael's home town is 116.667 miles.
How to use scales to estimate distancesScales are ratios commonly used to contain great extensions of land in images and maps and offer a quick though efficient manner to estimate distances. The real distance between Hoopersville and Michael's home town can be found thorugh this formula:
d' = d / r
Where:
r - Scale, in inches per miled - Reduced distance, in inchesd' - Real distance, in milesIf we know that d = 3.5 in and r = 1.5 in / 50 mi, then the real distance between Hooperville and Michael's hown town is:
d' = 3.5 in / (1.5 in / 50 mi)
d' = 116.667 mi
The real distance between Hooperville and Michael's home town is 116.667 miles.
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Please help due in 10mins
Answer:
(2,7), (6,-2),
Step-by-step explanation:
After finding the points you plug them in to the distance formula:
d=√((x2-x1)²+(y2-y1)²)
d=√[(6-2)²+(-2-7)²]
A pet groomer gave 9 baths, 15 nail trims, 8 brush-outs, and 5 ear cleanings.
For every 5 nail trims, the groomer gave 3.
Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.
What is the ratio?The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.
The service that comes to a quantity of 3 would be the answer.
= 15 nail trims / 5
= 3
Use 3 to divide the rest. When baths are divided by 3 we get:
= 9 / 3
= 3 baths
In conclusion, for every 5 nail trims, the groomer gave out 3 baths.
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You have two rectangles. Each has sides of length 9 and 7. You place them together side-by-side to form a larger rectangle. Which statement about the larger rectangle cannot be true?
The correct option is B: The larger rectangle can have the length of 7, width 9+9 and the area 7×9 + 7×9.
What is defined as the rectangle?A rectangle is a confined two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal but also parallel.The two rectangle are given with the same dimensions.
The length are given as 9 and 7.
The, both rectangle are placed such that they forms the larger rectangle;
The placing is such that side with the length of 9 units are joined together.
Thus, the new width of the rectangle will be; 7 + 7.
The length of rectangle will remain same of 9 units.
The area of rectangle = length x breadth
area of larger rectangles = 7×9 + 7×9.
Therefore, the option which correctly points the condition is option B.
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
We can form the eq. for y,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
marie deposits $1,650 for three years at 3% interest compounded daily what is her ending balance
Answer:
1805.38
Step-by-step explanation:
hope this helps
The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the _____.
The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.
Where is a drawing's scale often indicated?
Here, the scale may be shown on the drawing's axes or real distances may be displayed on the axes. In other situations, a scale could employ multiple measuring units. The air velocity, for instance, might be represented by the length of an arrow on an air flow diagram, where 1 cm = 0.1 m/s.What does balloon framing mean?
In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.
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Choose the angle name JWT
Need answers now...................
Answer:
[tex]\sqrt{17}[/tex]
My question is what is 3+(-7)
Answer:
The answer is -4.
Step-by-step explanation:
Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed
2(multiplicity 2) 5+i (multiplicity 1)
The polynomial function will be y = (x⁴-14x³+70x²-144x+104)
2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.
Thus, the general form of the polynomial will be given as:
y = (x-2)² (x-(5+i)) (x-(5-i)) [as (5-i) is conjugate of (5+i)]
y = (x²+4-4x) (x-5-i) (x-5+i)
y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)
y = (x²-4x+4) (x²-10x+25+1) [as i²= -1]
y = (x²-4x+4) (x²-10x+26)
y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)
y = (x⁴-14x³+70x²-144x+104)
Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)
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1/3 x =5 solved, please help me if anyone can! :)
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x=5-2y
y-2x=7
OA 7-2z
OB. 4z - 5
OC. 5-4
OD. 2x + 7
Reset
Next
The correct option is D. 2x + 7 is used for solving the equation by substitution.
What is defined as the substitution method?The substitution method is a straightforward method for algebraically solving a system of linear equations and determining variable solutions. It entails determining the value of x-variable in aspects of y-variable using the first equation and afterwards substituting or fixing the value of x-variable with in second equation, as the name implies.The following are the two given equations;
4x = 5 - 2y .......equation 1
y - 2x = 7 .......equation 2;
using substitution mean put the value of one variable from 1 equation into the other.
Consider equation 2;
y - 2x = 7
y = 2x + 7
Put this in equation 1;
4x = 5 - 2y
4x = 5 - 2(2x + 7)
Simplifying;
4x = 5 - 4x - 14
4x = 9 - 4x
8x = 9
x = 9/8
Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).
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A poll was taken in a town with a population of 15,000. The poll asked for an opinion of the city council's performance for the past year. The number of
people who thought that the council had done well was 9,500. What percent of the population voted favorably? (Round to the nearest tenth if necessary)
So the percentage would be 9500/15000 = 63.333333333... = 63.3...%
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)
Write as decimal
Step be step please
Will give brainliest
Answer: 9002.146
Step-by-step explanation:
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=
(9000)+2+(0.1)+(0.04)+(0.006)=
9002+0.1+0.04+0.006=9002.146
Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
R
(2m + 4)º
S
(3m + 1)⁰
Applying the linear pair postulate, m<SQR = 74°.
What is the Linear pair Postulate?According to the linear pair postulate, the equation below is holds true:
m<TQS + m<SQR = 180.
m<TQS = (3m + 1)°
m<SQR = (2m + 4)°
Substitute the values
(3m + 1) + (2m + 4) = 180
Solve for m
3m + 1 + 2m + 4 = 180
Add like terms
3m + 2m + 1 + 4 = 180
5m + 5 = 180
Subtract 5 from both sides of the equation
5m + 5 - 5 = 180 - 5
5m = 175
m = 35
m<SQR = (2m + 4)° = 2(35) + 4 = 74°.
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A pharmacist mixed 800 mg of a liquid drug (sg = 0.8) in enough liquid to prepare 2 liters of a final product. what is the ratio strength of the final product?
The ratio strength of the final product is 1:0.4.
What is ratio strength?One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.
Drug strength = 800mg
whole volume =2ltrs
The ratio of the solution in 1 ltr is = 400 mg
The ratio strength of the solutions is = 1:0.4
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0.6x +0.5=0.8x - 1.1
Answer:
8
Step by step :
0.6x = 0.8x-1.1-0.5
0.6x-0.8x = -1.6
-0.2x = -1.6
x = -1.6/-0.2
x = 8
HELP PLS TEACHER GONNA FAIL ME
Answer:
B and D
Step-by-step explanation:
What is the difference between quantitative data and qualitative data? in what situations could the number 42 be considered qualitative data? what are the characteristics of a relational database?
The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.
Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
The seven characteristics that define relational database are:
Accuracy and Precision
Legitimacy and Validity
Reliability and Consistency
Timeliness and Relevance
Completeness and Comprehensiveness
Availability and Accessibility
Granularity and Uniqueness
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Algebra Challenge
1. Simplifying Expressions
Demam
The elementary school is building a new triangular playground that they want to
fence in. Given the three side lengths of 2x-1, 4x and 12x + 5 find the value of x
when the perimeter of the playground is 112 ft.
The situation can be represented by
nswer:
(2x-1)+4x+(12x+5)=114
Answer: Answer is 6.11
Step-by-step explanation:
Lets solve this equation (2x-1)+4x+(12x+5)=114
step 1: we first add x variables
ie. 2x + 4x + 12x = 18x
step 2: we add numbers
ie. -1 + 5 = 4
step 3: now we arrange LHS part
ie. 18x + 4 = 114
step 4: now move this 4 to right hand side and simplify them
ie. 18x = 114 - 4 = 110
step 5: now we divide 110 by 18 to get the value of x
ie. x = 110/18 = 6.11
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(2x+5)*
5x Angle addition postulate
The value of x determined by Angle addition postulate is (x = 25).
What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.As per the given questions;
The two angles are given as;
∠ABD = 5x + 10
and ∠DBC = 2x - 5
By the angle addition postulate;
The sum of both the angles will be 180.
Put the values;
∠ABD + ∠DBC = 180
5x + 10 + 2x - 5 = 180
Simplifying;
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25.
Thus, the values of x is determined as the (x = 25).
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The correct question is-
Find the value of x Angle addition postulate, when the value of two angles are-
(5x + 10) and (2x - 5)
can you tell me what -48<-6b<48 is ?
The value of 'b' written in inequalities is: 8 > b > -8.
What are the rules solving inequalities?Inequalities are mathematical declarations that include the symbols > and <.
To'solve' an inequality, you must first identify a range, as well as ranges, of values which an unexplained x can take while still satisfying the inequality.In this unit, inequalities are solved with algebra and graphs.Some rules for solving the inequalities are-
If a < b, then a + c < b + c: The direction of an inequality symbol is not changed by adding same number for every side.If a < b, then a – c < b – c: The direction of an inequality symbol is not changed by subtracting the same number out of each side.If a < b and if c are a positive number, then a×c < b×c: The direction of an inequality symbol is not changed by multiplying/diving each side by a positive number.If a < b and if c is a negative number, then a×c > b×c: When every side of an inequality is multiplied/divided by a negative number, the direction of a inequality symbol is reversed.For the given inequality;
48 < -6b < 48
Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.
Thus,
8 > b > -8 which defined the limits for the b values.
Therefore, the interval for the value of 'b' are obtained as 8 > b > -8.
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A survey showed the 8 about of 20 home owners in a neighborhood had cable television . If there were 320 homeowners in the neighborhood, how many could be expected to have cable television
The number that could be expected to have cable television will be 138 people.
How to calculate the value?From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television
Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:
= 8/20 ×320
= 8 × 16
= 128
The number of people will be 128.
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What’s the measure of QS?
A ) 6.2 mm
B) 9.5 mm
C)21.9 mm
D)22.4 mm
Please show work because I need to understand
50 POINTS!!! Solve all!
Answer:
3. My first guess would be that Salva looked away quickly, turning their head away from the woman quickly.
4. Make a quick, nervous movement as an instinctive reaction to fear, pain, or surprise. [Provided by Oxford Languages Dictionary]
5. My first guess would be that Salva was performing a "squat" with her lower body, which would be the haunches.
uwu hello 2019 its me future with the better memes, dat me up,hoiyah,and OH NO.... OUR TABLE!!!!! ISH BROKEN!!!!!!
Liv earns $9.50 for every two bracelets she sells. the equation y = 4 . 75 x can be used to represent this situation. what is the constant of proportionality?
The Constant of proportionality represented in equation is 4.75
The Constant of Proportionality defines the value which will remain constant in the whole system of equations. In the given equation, Liv earns $9.50 for selling every two bracelets. The equation represents the sale of Liv on the basis of its price and quantity and the Total amount that she gets. The equation is represented as y = 4.75x
Here, y is the total amount she gets, x is the number of pieces that she sold, and 4.75 is the constant of proportionality. In this case, the constant can be defined as the price of one bracelet that she sells.
This constant can be derived by simply dividing the total amount by the total number of pieces that she sells. It can be represented by :
=> y/x = c , where c is the constant
=> 9.5/2 = c => c = 4.75
Hence, the Constant of Proportionality is 4.75.
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URGENT PLS IM DESPERATE!!! IT'S DUE IN 35 MINUTES!!! Write an equation for each table, graph, and verbal description. (A) Table of X and Y values. When X is 1, Y is 9. When X is 2, Y is eighteen. When X is 3, Y is twenty-seven. When X is 4, Y is thirty-six. y = x (B) First quadrant of a coordinate plane. The points 0 comma 0, 2 comma 5, 4 comma ten, 6 comma fifteen, 8 comma twenty, and ten comma twenty-five are graphed and connected with a line. y = x (C) Each hour, Milo reads 24 pages. y = x
Your answer will be:
y = 9x
y = 2.5x
y = 24x
I hope this helps!
