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.
Learn more about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ2
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]
= -[tex]\frac{16}{8}[/tex]
= -2
and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]
= [tex]-\frac{40}{8}[/tex]
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
Please !!!!!! Help me
Answer:
a. 1 b. 3/5 or 60%
Step-by-step explanation:
number of favourable events/number of total events
3x/5x = 3/5
Solve 13+x>11. Enter your answer as an equality
Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?
Answer:
Coordinates of M = [tex]\left ( -2,4 \right )[/tex]
Step-by-step explanation:
Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)
To find: coordinates of M
Solution:
According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]
Therefore,
[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]
a garden has the lengths of 11m,8m,19m and 10m work out the area
Answer:
A(lawn) = 68 m²
Step-by-step explanation:
A(lawn) = Agarden - Aflower - Avegetables
= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2
= 140m² - 12m² - 60m²
= 68 m²
A(rectangle) = w × h
A(triangle) = ½ × b × h
A(trapeze) = ½(B+b) × h
Which of the following points is a solution to y ≤ −2x + 3?
above; y = 2x − 2
below; y = 2x − 2
above; y = −2x + 2
below; y = −2x + 2
Answer:
d; below; y = −2x + 2
Step-by-step explanation:
the equality ≤ means left to right that y is equal or less than. We see that 2 is equal or less than 3.
We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.
Answer:
B (1,0) hope this helps :)
Find the value of x to the nearest degree.
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1
Answer:
D
Step-by-step explanation:
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
what’s the best answer ?????
Answer:
zero
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The line is horizontal and parallel to the x- axis
Since the x- axis has a slope of zero then the line has a slope of zero.
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answer:
[tex]72[/tex]
Step-by-step explanation:
Jeremy is [tex]x[/tex] years-old.
Jeremy's grandfather is [tex]4x[/tex] years-old.
Adding their ages together will get [tex]90[/tex]
[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]
Jeremy's grandfather age would be:
[tex]4x\\4(18)\\72[/tex]
Answer: 72
Step-by-step explanation:
Let Jeremy age be x
Granfather' age is 4x
x + 4x = 90
5x = 90
x = 90/5 = 18
Jeremy' age is 18
Granfather age is 4x = 4*18 = 72
Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
PLEASE answer quick, I need this in the next 15 minutes
Answer:
11.5214512633
Step-by-step explanation:
Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.
CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2
CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775
EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017
DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562
add them all up 11.5214512633
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}
Answer:
A
Step-by-step explanation:
answer on edg 2020
The diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.
Answer:
1,178 cubic feet
Step-by-step explanation:
volume of cylinder is given by following formula
volume = [tex]\pi r^2l[/tex]
where r is the radius for cylinder and l is the height of cylinder.
____________________
given
diameter of cylinder = 10 feet
radius is half diameter
thus, radius = diameter/2 = 10/2 = 5 feet
height of the cylinder = 15 feet.
[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]
Thus, volume of cylinder is 1,177.5 cubic feet
volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.
Sue wants 1/2 of a rectangular pan of cornbread. Dena wants 1/3 of the same pan of cornbread. How should you cat the cornbread so that each of the girls gets the size portion she wants?
Answer:
in thirds so Dena gets 1/3 and Sue gets 2/3 which is half
Step-by-step explanation:
Which graph represents the function h(x) = [X1 +0.5?
12
V
2
1
2
-2
Answer:
Actually, if you graph it the correct answer is the third option, not the first
Trust me I got 100%
What is the length of the arc that measures 60° for the given circle?
A)
5π
2
cm
B)
5π
3
cm
C)
10π
3
cm
D)
10π
9
cm
It also says the radius is 10
Could you show the given circle please?
Answer: The answer is C.
Step-by-step explanation: I just did it
Calculate the slope between the points (5,2) and (1,-6).
Answer:
2
Step-by-step explanation:
The slope formula is change in y over change in x, in this case it's [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]
Answer:
go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6
Step-by-step explanation:
Use the graph to determine the domain and range
of the piecewise defined function.
Domain:
-6
-6
1 <<6
2
Answer:
Domain = {-6 ≤ x ≤ 2, x ≠ 0}
Range = {1 < y ≤ 6}
Step-by-step explanation:
Answer:
Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A
Range: 1<y[tex]\leq 6[/tex]
Step-by-step explanation:
HELP ME PLZ!!
What is the maximum number of Go Math textbooks that can fit in Tier 1 given the measurements of the textbook below? Your answer must have work on how you did it OR an explanation.
Answer:
Step-by-step explanation:
lets find the volume of a go math book
V=LWH
V=10.75*8.5*1
V=10.75*8.5
V=91.375 inches^3
the amount of Go Math books that can fit in tier 1 is
(tier 1's volume)/91.375
then , round to the smallest whole number
(how many whole books you can fit in
I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.
12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
Evaluate the following expression.
6
Step-by-step explanation:
first change it to fraction
1/6
use long division method to simplify
you will get
0.66666666666
leave your answer in 2 place decimal
0.167
what is the answer to 23×-5
Answer:
23×-5
= -115
The answer is -115, easy peasy
In a parallelogram, both paires of oppsite sides are parallel? true or false
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
i cant get the symbold so i had to do it like this :)
Answer:
b
Step-by-step explanation:
HELP ASAP!!!! There is a clip below.
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
Find the volume of the given solid. Leave your answer in terms of pi
Answer: 465 π
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x (diameter /2) ² x height
Replacing with the values given and solving for v (Volume)
V = π x (6/2)²x 50
V = 450π
And then for the bottom part:
Volume of a cone = 1/3 x π x (diameter/2)^2 x height
Replacing with the values given:
V = 1/3 π (6/2) ^2 (5) = 15π
Finally we add the volumes:
450π+15π = 465 π
In conclusion, the volume of the solid is 465π m3.
Feel free to ask for more if needed or if you did not understand something