Answer:
16
Step-by-step explanation:
Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.
An = A+(n-1)d
This shows that: A5 = 4+ 4(3) = 16.
Fifth term of the arithmetic sequence is 16.
What is arithmetic sequence?"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."
Given
First term a1 = 4
Common difference d = 3
n = 5
Formula to find fifth term in the arithmetic sequence
[tex]a_{5} = a_{1} +(n-1)d[/tex]
[tex]a_{5}= 4+(5-1)3[/tex]
[tex]a_{5}= 4+(4)3[/tex]
[tex]a_{5}= 4+12[/tex]
[tex]a_{5}= 16[/tex]
Hence, fifth term of the arithmetic sequence is 16.
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A survey was held to find the time taken by students to reach school from their homes. Each student was asked to choose from 10, 20, 30, 40, or 50 minutes. What is the mode for the data set?
A. 30 min.
B. 10 min.
C. 20 min.
D. 40 min.
only thoughts answer's if u give a bad one no brainly
Answer:
there is no mode
Step-by-step explanation:
because there is no doubles
The required, mode of the given data set is not defined. None of the options are correct.
What is the mode?In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.
The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.
Therefore, None of the options are correct.
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Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
Plz help me it’s emergency
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
The graph of a quadratic equation opens down when the value of is negative.
Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:
Answer: The answer is Yes.
Step-by-step explanation:
Can not represent as a function. since some output have more than one input
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually
No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.
Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.
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Complete question:
The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?
Homework Complete
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
10=|m+2| solve the equation
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
The number 16 has two square roots: 4 and _
Answer:
4
Step-by-step explanation:
4 times 4 = 16
Answer:
sqrt(16) = +4 and -4
Step-by-step explanation:
A square root has a positive and a negative square root
sqrt(16) = +4 and -4
Please answerrrrrrr !!!! please
Find the value of x from this question
Answer:
45 degrees
Method: Parallel
Graph the inequality.
3x + 4y <4
In the box below, describe the graph.
Answer:
y < 1 - (3x)/4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y < 1 − 3 x /4
the graph is partially shaded. the shade crosses through (0,1) and (1,0). I hope you can figure that out :)
will mark bianleast plz asap
What is the mode of the data set?
Line plot titled Books Read with 0 - 3 dots, 1 - 2 dots, 2 - 7 dots, 3- 6 dots, 4 - 4 dots, 5 - 2 dots, 6 - 1 dot.
Six books
Two books
Four books
Three books
Answer:
2 books
Step-by-step explanation:
The mode is the one that is most frequent, and reading 2 books during the summer is the most frequent thing to do in this diagram as it has been performed the most times.
Hope this helps!
treviglaslibrary
I’m really confused the question is on shapes
Answer:The polygon has 18 sides.
Step-by-step explanation;since it is a straight line, we get 8x since they said that each interior angle is 8 times the exterior angleso it is 8x =x which is the exterior angle +180 degrees since it is a sraight line.
n:
Answer:
A) Each Interior Angle = 180 degrees - (360 / number sides)
B) Each Exterior Angle = 360 / number of sides
A) = 8 * B)
8 * 360 / # sides = 180 - (360 / #sides)
We'll call # sides as "n".
2,880 / n = [ 180 - (360 / n)]
2,880 = n * [ 180 -(360 / n)]
3,240 = 180n
180n = 3,240
n = 18 sides.
The polygon has 18 sides which is an octadecagon.
Step-by-step explanation:
Which of the following is equal to the rational expression when x ≠ -6 ?
Answer:
X-6
Step-by-step explanation:
Just did this one
Find the quotient of 1 5/6÷ 2 1/8 Give your answer as a fraction in its simplest form.
Answer:
1 5/6 = 11/6
2 1/8 = 17/8
11/6 ÷ 17/8
11/6 × 8/17
= 44/51
Hope this helps.
Answer:2.67 or 4/2
Step-by-step explanation: it just is
pls help help me need help!! thank you!!
Answer: 55 feet of rope
Step-by-step explanation:
The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.
|-30| + |25| = 30 + 25 = 55
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
About how far does a rider travel in one complete rotation around the Ferris wheel? Round your answer to the nearest whole number. Use 3.14 for π.
Enter your answer in the box below.
_____ meters
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
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15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
help me please <3 thank youu
Answer:
7,2,3
D
Step-by-step explanation:
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
$18.59
Step-by-step explanation:
19.16=100%
0.1916=1%
97(0.1916)
18.59
Answer:
$18.5852
Step-by-step explanation:
Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5
Answer:
D 45 is 9 times as many as 5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.
multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)
Answer:
(√10 +2√8)(√10 -2√8)=
(10 -8√5 + 8√5 -32)
10+0-32
10-32
= -22
Hope this helps.
Answer:
The other person is right, A. -22
Step-by-step explanation:
directly with the number of tickets suppose seven tickets cost 126 how much would 12 tickets cost
Answer:
$216
Step-by-step explanation:
126 ÷ 7 = $18
18 × 12 = $216
How do I solve this 4x-2y=8 y=3/2x-2
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.
Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
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1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.
Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
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