Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
Answer:
2,000 tiles
Step-by-step explanation:
area of the floor divided by the area of one tile
area of a rectangle is length*width
so it's 40*15= 600
area of tile is 0.6m*0.5m = 0.3
600÷0.3 = 2,000 tiles
PLEASE HELP! IT'S A GRAPH-TYPE QUESTION!
Answer:
Step-by-step explanation:
i cant decide if its b or d please help for brainlist !!!!!!!!!!!!!
This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence
A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.
Hope this helps :)
Help help me help help plz plz help help plz help me help plz plz help help plz
Answer: you give us that picture, but what are the instructions?
Step-by-step explanation:
Answer:
oh you have to draw for this assignment.. sad
Step-by-step explanation:
Find the Common Denominator of 3/12 and 7/12
show your work
Step-by-step explanation:
3/12 7/10
Make the Denominators same
3*5/12*5 = 15/60
7*6/10*6 = 42/60
Common Denominator is 60
A person jogs 780 meters south and
then 360 meters west.
What is the magnitude of the
person's resultant vector?
Answer: Approximately 859.06926 meters
Explanation:
Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
c = sqrt( 780^2 + 360^2 )
c = 859.06926
The distance from the original starting point to the finish line is roughly 859.06926 meters.
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
Learn more about subject of formula here : https://brainly.com/question/859711
The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.
Answer:
y=-1/2x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-(-2))
y-3=-1/2(x+2)
y=-1/2x-2/2+3
y=-1/2x-1+3
y=-1/2x+2
9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
What is the probability of grabbing a blue marble from a bag that contains 4 black, 5 white, 3 red, and
2 blue marbles?
Answer: 1/7
Step-by-step explanation:
You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7
Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC
According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]
[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC
= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]
Learn more about midsegment theorem of a triangle here:
https://brainly.com/question/7423948
For a new neighborhood, 100 acres of land will be split into 10 lots.How many acres of land will each lot have?
10
Step-by-step explanation:
I think it's 10 my bad if I'm wrong
Is 15:6 equivalent to 12:3
when we simplify (ab + 3c)^2 we get
Answer:
a^2b^2+6abx+9c^2
Step-by-step explanation:
(a + b)2 = a2 + 2ab + b2
(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2
Hey there!
(ab + 3c)^2
= (ab + 3c)(ab + 3c)
DISTRIBUTE
= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)
= a^2 b^2 + 3abc + 3abc + 9c^2
COMBINE the LIKE TERMS
= a^2 b^2 + 6abc + 9c^2
Therefore, your answer is:
a^2 b^2 + 6abc + 9c^2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which equation represents a line that is perpendicular to y = 3x - ?
Answer: y=-1/3x+4
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:
y=mx+b
y=3x-4
m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:
Therefore, y=-1/3x+4 is the correct answer.
Convert the given amount to the given unit.
3 miles; feet
Answer:
15840
Step-by-step explanation:
Domain and Range of a linear function
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
The value of √42 Is a rational or an irrational number.
Answer:
irrational
Step-by-step explanation:
Answer:
Irrational.
Step-by-step explanation:
When we simplify √42, we get:
6.48074069841 (Calculator Used)And 6.48074069841 is an irrational number.
Hoped this helped.
[tex]GeniusUser[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Its 27
Step-by-step explanation:
Jaz is going to the florist to buy foxgloves and orchids. The foxgloves can only be purchased in groups of 11 and the orchids can only be purchased in groups of 5. If Jaz wants to buy the same amount of foxgloves and orchids, then what is the lowest quantity of foxgloves that Jaz can buy?
Answer:
5
Step-by-step explanation:
5 x 11 = 55
55 / 11 = 5
Geometry - Isosceles & Equilateral Tirangles
Solve for x *
Answer:
x = 11
Step-by-step explanation:
Here, the two angles given are equal to each other. So, it is an isosceles triangle.Therefore, the sides opposite to the two angles are equal.Therefore,(x + 13) ft = 24 ft
or, x ft = 24 ft - 13 ft
or, x ft = 11 ft
or, x = 11
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Answer:
x = 11ftStep-by-step explanation:
Isosceles Triangle: A triangle with two equal sides. The angles opposite the equal sides are also equal.
so
(x + 13) = 24
x + 13 = 24
x = 24 - 13
x = 11
--------------------
check
11 + 13 = 24
24 = 24
the answer is good
equivalent expressions to 3/5x +3
Step-by-step explanation:
......3(x+5)/5......
HELP ME PLEASE GUYS! :)
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
I need help with this
Answer:
Slope: Greater for Function A
Y-intercept: Same for both
Step-by-step explanation:
Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope
Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal
Hope this helps :)
Answer:
The slope is greater for function A and the y-intercepts are the same.
Step-by-step explanation:
The slope for function A :
= (3-0) / (0 - (0.5)
= 3 / -0.5
= -6.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
The slope for function B :
= (3-7) / (0 - (-1)
= -4.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
What is the slope of the line?
Answer:
looks like 3/4
Step-by-step explanation:
evaluate –3(–5)(–1)(3)
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
Solve for B.
A= 7/8(B+C)
PLS HELP ITS TIMED
Answer:
8/7A - C = B
Step-by-step explanation:
A= 7/8(B+C)
Multiply both sides by 8/7
8/7A = B + C
Subtract C
8/7A - C = B
write tan(t)/cos(t) in terms of sin(t)
[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]
Solve for x if log(2x-7) = 0
Answer:
x=4
Step-by-step explanation:
log(2x-7) = 0
10^[log(2x-7)] = 10^0
2x-7 = 1
2x = 8
x = 4
Find the circumference of the object. Use 3.14 or 22 7 for ml. Diameter:9
Answer:
c = 28.26 cm
Step-by-step explanation:
equation for circumference of a circle is 2πr
r = d/2 so here r = 9/2 = 4.5
2 x 3.14 x 4.5 = 28.26
Answer:
C ≈ 28.26 cm
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )
