The four consecutive odd integers = 15, 17, 19, 21
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
First digit: x
Second digit: x + 2
Three-digit number Equals x + 4
Fourth digit: x + 6
The difference between the opposite of the third and the first two sums up to 55.
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
assemble similar terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First digit: x = 15
Second digit: 15 + 2 + x = 17
Third number: 15 + 4 + 4 = 19
Fourth digit: x+6 = 15+6 = 21
The four odd numbers in a row equal 15, 17, 19, and 21.
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Pedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below.
A t
11,100 4
7200 8
3300 12
A function could be written to describe the decent:
Blank 1
= (Blank 2
)t + Blank 3
The equation of the linear function is A(t) = -975t + 15000
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we have:
A(t) t
11,100 4
7200 8
3300 12
From the above table of values, we can see that
As t increase by 4, the value of A(t) decreases by 3900
This means that the table of values is a linear relation, and the slope is
slope = -3900/4
slope = -975
A linear equation is represented as
y = mx + c
Where
slope = m
So, we have
A(t) = -975t + c
Using the points on the table, we have
11000 = -975 * 4 + c
Evaluate
c = 15000
So, we have
A(t) = -975t + 15000
Hence, the equation is A(t) = -975t + 15000
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one leg of a right triangle is 8 cm what could the other length be justify your answer
Answer:
6-L2
10-hypotenuse
Step-by-step explanation:
Pythagorean theorem
Identify the place value of the underlined digit.
1) 0.9838.47
3) 145.58
4) 0.005
5) 31.0643
The place value of the following underlined digit are as follows:
0.983 = hundredths.8.47 = hundredths.145.58 = tens.0.005 = tenths.31.0643 = unit.What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the underlined digit 8 in "0.983" has a place value of hundredths because it is located 2 places after the decimal point. Additionally, the underlined digit 4 in "145.58" has a place value of tens because it is located 2 places before the decimal point.
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Complete Question:
Identify the place value of the underlined digit.
1) 0.983
2) 8.47
3) 145.58
4) 0.005
5) 31.0643
Mhanifa please help i will mark brainliest
Answer:
Use Pythagorean:
a² + b² = c²#1x² = 16² - 8²x² = 192x = √192x = 12.73, not an integerNot a Pythagorean triple
#2x² = 40² + 9²x² = 1681x = √1681x = 41It is a Pythagorean triple (9, 40, 41)
#3x² = 6² + 13²x² = 205x = √205x = 14.32, not an integerNot a Pythagorean triple
Darius started his baseball card collection with 7 cards that he got from his dad. He bought 1 pack of cards each month for 20 years. After 1 year he had 79 cards in his collection. Darius gave his entire collection to his son 20 years after he got it from his dad. Which of the following is the domain of the function representing the number of baseball cards in Darius’s collection?
A. 7< or = x< or = 1,580
B.7< or = x< or = 1,447
C.0< or = x
D.0< or = x< or = 20
Answer:
b
Step-by-step explanation:
Is (1,-2) a solution to this system of equations?
20x+20y=-2
2x+5y=-8
YES OR NO
The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)
What is a system of equations?A system of equations are two (or more) equations that have common variables.
The system of equation is presented as follows;
20·x + 20·y = -2
2·x + 5·y = -8
The specified possible solution of the equation is; (1, -2)
Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;
20·x + 20·y = -2
20·y = -2 - 20·x
y = (-2 - 20·x)/20
Therefore; y = (-2 - 20 × 1)/20 = -1.1
When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2
Evaluating the second equation, we get;
2·x + 5·y = -8
5·y = -8 - 2·x
y = (-8 - 2·x)/5
Plugging in x = 1, we get;
y = (-8 - 2 × 1)/5 = -2
When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation
The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;
y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5
Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5
-10 - 100·x = -160 - 40·x
60·x = 150
x = 150 ÷ 60 = 2.5
x = 2.5
y = (-2 - 20 × 2.5)/20 = -2.6
y = -2.6
The correct option is therefore, no, the solution to the system of equation is; (2.5, -2.6)Learn more about systems of linear equations here: https://brainly.com/question/11867840
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Solve the system of inequalities by graphing. If there is no solution, click on "No solution".
3x+y≥3
x≤-1
:)
ggggggggggggrssdfffffffffffffffffffffffffffffffffrsssssssssshggh
help plz (Need Help):(
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
F (- 4, - 6 ) → F' (4, - 6 )
G (- 4, - 3 ) → G' (4, - 3 )
H (- 3, - 4 ) → H' (3, - 4 )
PLEASE HELP QUICKLY 20 POINTS
The slope is 0.
The slope is 1.
The slope is 4.
The slope is undefined.
Answer:
The slope is 0.
Step-by-step explanation:
There is no rise over run and the slope is only undefined when the line is going upwards.
The two polygons are similar.Find the length of x
Answer:
x = 9.2
Step-by-step explanation:
Answers to these please no links or files
I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!
Find the 19th term of the arithmetic sequence 8,17,26,..
Answer:
170
Step-by-step explanation:
use the formula An = A1 + d(n-1) to identify the arithmetic sequence. An = 9n - 1
pls mark as brainliest lol
A cat, a dog, and a gerbil. What generalization can you make?
Answer:
They are fluffy, and are great pets. They eat food and generally have the same bodily functions. The only difference is pet food, mental action (actions) and size. Also their tails.
Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing the first card. What is the probability that Bess is chosen first and Carolina is chosen second?
Answer:
Step-by-step explanation:
What is −30y − 15 if y is 7?
Answer:
-225
Step-by-step explanation:
-30*7=-210
-210-15=-225
please give brainliest
Two radar stations 4.3 miles apart are tracking an airplane. The straight-line distance between
Station A and the plane is 9.6 miles. The straight-line distance between Station B and the plane is 8.6
miles. What is the angle of elevation from Station A to the plane? Round the distance to the nearest
degree.
9.6 ml
Ad
4.3 mi
8.6 mi
B
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
What is trigonometry?The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.
Here,
given :
An aircraft is being followed by two radar stations, which are 4.3 miles apart.
Station A is 9.6 miles away from the plane in a straight line.
Thus,
To find the angle of elevation from station A to plane :
Using Trigonometric ratios:
=> Sin A = 8.5 / 9.6
=> Sin A = 85/96
=> A = [tex]Sin^{-1}[/tex](85/96 )
=> A = 62.302840124651483 °
=> A = 62.3°
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
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Find the measure of the angle
Answer:
155°
Step-by-step explanation:
The angle between the x and y axes is 90°
The required angle = 90° + 65° = 155°
Answer:
Well, y is 90˚ and another angle is 65˚ that means that the unknown angle must be 25˚
Step-by-step explanation:
what is the domain and range of f(x)=-7x^2-14x-9
Range is f(x) < -2
* The < should have a line under it*
**Sorry i couldn't find the domain**
$14.40 for 4.5 pounds of beef
Answer:
One pound of beef is $3.2
Step-by-step explanation:
14.40 / 4.5
= 3.2
CHECK:
3.2 * 4.5
=14.40
Answer:
Step-by-step explanation:
The unit rate for this beef is:
$14.40
---------- = $3.20/lb
4.5 lb
Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
The answer in standard form is given by 65.7 ×10⁴
What is the Standard Form of a Number?A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.
Given here: (6.31 x 10⁵)+(2.6 x 10⁴)
Simplifying the equation further we get
(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴
=65.7×10⁴
Hence, The answer in standard form is given by 65.7 ×10⁴
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How to find the slope of a line that goes from (10,40) to (0,0)
Which set of ordered pairs does not represent a function?
1-{(0,6),(5,−4),(3,−4),(8,−6)}
2- {(6,−1),(−6,−1),(−2,−8),(−4,9)}
3-{(−3,−3),(4,1),(−3,3),(2,2)}
4-{(1,−4),(5,−7),(−3,−6),(−2,−4)}
Given:
The set of ordered pairs in the options.
To find:
The set of ordered pairs which does not represent a function.
Solution:
A set of ordered pairs represents a function if their exist a unique y-value for each x-value.
In option 3, the given set of ordered pair is:
{(−3,−3),(4,1),(−3,3),(2,2)}
Here, we have to y-values -3 and 3 for x=-3. It means the y-value is not unique for x=-3. So, this set of ordered pairs is not a function.
In option 1, 2 and 4, all the x-coordinates are different. It means their exist a unique y-value for each x-value. So, the set of ordered pairs in options 1, 2 and 4 represent a function.
Therefore, the correct opting is 3.
The price of a computer is reduced by 17.5%
The reduced is £264
By how much is the price reduced
Answer:
To find out by how much the price was reduced, we can use the following equation:
price reduction = original price * reduction percentage
We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:
price reduction = £264 / 17.5%
To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:
price reduction = £264 / (17.5 / 100)
This simplifies to:
price reduction = £264 / 0.175
Solving this equation gives us a price reduction of £1512.
So, the original price was reduced by £1512.
Step-by-step explanation:
due tmr help plssssss‼️
Answer:
5π units
Step-by-step explanation:
The arc length of a semicircle is calculated as
length = [tex]\frac{1}{2}[/tex] πd ( d is the diameter ) , then
length = [tex]\frac{1}{2}[/tex] π × 10 = 5π units ← exact answer
20. Below are massesof students taken in a medical centre. 37 60 35 38 59 34 56 42 55 48 39 33 36 35 43 52 39 64 41 35 20 31 29 45 32 54 66 44 47 45 27 24 48 28 55 (a) Starting with the class 20-29 and class size of 10, make a frequency distribution table for the data. (2 marks)
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Class} & \text{Frequency}\\\cline{1-2}20-29 & 5\\\cline{1-2}30-39 & 12\\\cline{1-2}40-49 & 9\\\cline{1-2}50-59 & 6\\\cline{1-2}60-69 & 3\\\cline{1-2}\end{array}[/tex]
=====================================================
Explanation:
The given data set is
{37, 60, 35, 38, 59, 34, 56, 42, 55, 48, 39, 33, 36, 35, 43, 52, 39, 64, 41, 35, 20, 31, 29, 45, 32, 54, 66, 44, 47, 45, 27, 24, 48, 28, 55}
It sorts to
{20, 24, 27, 28, 29, 31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39, 41, 42, 43, 44, 45, 45, 47, 48, 48, 52, 54, 55, 55, 56, 59, 60, 64, 66}
The five values 20,24,27,28,29 are between 20 and 29. This means the first class or bin will have a frequency of 5.
The next interval spans from 30 to 39. There are 12 items in this interval, and those 12 items are this subset {31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39}. This means we have a frequency of 12 for the interval from 30 to 39.
Keep this process going until you get to the end of the data set.
Arya has 5 cupcakes and wants to
share them with 8 friends equally.
How many cupcakes will each frien
receive?
Each friend of Arya will receive 0.625 cupcakes.
To divide 5 cupcakes equally among 8 friends, we can use simple division. We would divide the total number of cupcakes (5) by the total number of friends (8) to find the number of cupcakes each friend would receive. In this case, 5 divided by 8 is equal to 0.625. This means that each friend will receive 0.625 cupcakes. However, since cupcakes are not divisible it is not possible to divide 5 cupcakes equally among 8 friends. In this case, either Arya will have to make more cupcakes or they will have to decide on a different way to divide the cupcakes.
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fFind the length of the arc on a circle with radius of 27 meters and intercepted by a central angle of 120 degrees
The length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.
We know that the length of the arc of a circle = Radius of the circle × angle subtended by the arc (in radians)
Here radius of the circle is 27 m
The angle subtended is 120°
Hence we will first convert the angle into radians
Angle in radians = Angle in degree X π/180
= 120 X π/180
= 2π/3
Therefore, the length of the arc = 27 X 2π/3
= 18π m
Therefore, the length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.
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Mhanifa please help! You don't have to draw a diagram if you dont want to
Answer:
10.44 mStep-by-step explanation:
The ladder is the hypotenuse of the triangle with legs of 3 m and 10 m.
The length of the ladder is:
[tex]l = \sqrt{3^2+10^2} = \sqrt{109} = 10.44 m[/tex]Can someone please answer
Answer:
6 × 1f = 6f
6 × 5 = 30
= 6f + 30
So the answer is A - 6f + 30
what is the measure indicated in the parallelogram
Answer:
? = 74°
Step-by-step explanation:
• in a parallelogram, consecutive angles sum to 180° , that is
? + 106° = 180° ( subtract 106° from both sides )
? ( ∠ G ) = 74°