Answer:
The answer is 1690, and then 1630
Step-by-step explanation:
2050, 1990, 1930, 1870, 1810, 1750, 1690, 1630
Each number is going down by 60
===============================================================
Explanation:
This is an arithmetic sequence. We are adding -60 to each term to get the next term. Put another way, we are subtracting 60 from each term to get the next.
term 1 = 2050
term 2 = (term1) + (-60) = (term1) - 60 = 2050 - 60 = 1990
term 3 = (term2) + (-60) = (term2) - 60 = 1990 - 60 = 1930
term 4 = (term3) + (-60) = (term3) - 60 = 1930 - 60 = 1870
and so on
Keeping this pattern up, we get these next two terms
1750 - 60 = 1690
1690 - 60 = 1630
which are the two answers
-----------
If you want to use a formula, then a1 = 2050 is the first term and d = -60 is the common difference. We get this nth term formula
a(n) = a1 + d(n-1)
a(n) = 2050 + (-60)(n-1)
a(n) = 2050 - 60n + 60
a(n) = -60n + 2110
Then note that six terms of the sequence are given to us. This means we want to find the 7th term, so we plug in n = 7 to get
a(n) = -60n + 2110
a(7) = -60(7) + 2110
a(7) = -420 + 2110
a(7) = 1690
The 7th term is 1690
Repeat for n = 8
a(n) = -60n + 2110
a(8) = -60(8) + 2110
a(8) = -480 + 2110
a(8) = 1630
The 8th term is 1630
find the vertex of the parabola represented by the function f(x)= -2x^2
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in
It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.
Answer:
$49
Step-by-step explanation:
Cost of security system installation = $50
Let the monthly service cost be $x
In 6 month monthly service cost = 6*$x= $6xtax percentage = 6% of monthly service cost
hence if monthly service cost is $x
Then Tax value in terms of x is = 6% of $x = 6/100 * $x =$ 0.06x
In 6 month, Tax value in terms of x = 6 * $0.06x = $.36x_______________________________________________
Therefore total cost incurred by Trevor in 6 month including installation charges =
6 month monthly service cost + Tax value in 6 month + installation cost
Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have
Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+ $0.36x+ $50 = $6.36x + $50
But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation
Therefore total cost incurred by Trevor in 6 month including installation charges is also equal to $361.64
Hence,
$6.36x + $50 = $361.64
=> $6.36x = $361.64 - $50
=>$6.36x = $311.64
=> x = $311.64/6.36
=> x = 49.
Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.
Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?
Answer:
$338.20
Step-by-step explanation:
Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,
89/10=8.9
$8.9 per hour
So 38 hours would be
8.9 x 38= $338.20
Answer:
$338.20
Step-by-step explanation:
Maia and John both earn $15 an hours their job. This week Mais worked three hours more than John. If "h" represents the number of hours John worked, and in total they earned $195, how many hours did each person work?
Answer:
John: 5 Mais :8
Step-by-step explanation:
h = 195 ÷ 15, so they both worked a total of 13 hours.
13 - 3 as Mais worked 3 hours more than John and then divide 10 by 2, so John worked 5 hours are Mais worked 5+3 [8] hours.
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
complete the square to form a perfect-square trinomial.
2. x^2 - 4x + ?
4. x^2 + 12x + ?
6. x^2 + 18x + ?
(just tell me what the number is for the ? on each problem.)
Look at the attached picture
Hope it will help you.
Good luck on your assignment
find the area of the trapezoid could you go
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
Use the definition of a parallelogram to complete the biconditional statement.
A parallelogram is a quadrilateral with two pairs of parallel sides.
A quadrilateral is a parallelogram _[blank]_.
Which answer correctly fills in the blank in the previous sentence?
if it has two pairs of parallel sides and is a polygon
if and only if it has two pairs of parallel sides
because it has only four sides and two of them are parallel
if it has only two pairs of parallel sides
Answer:
if and only if it has two pairs of parallel sides
Step-by-step explanation:
The definition says that a paralellogram is a quadrilateral with two pairs of parallel sides. That means that the only way to have a paralellogram is to have a quadrilateral with two pairs of parallel sides. If we have a quadrilateral with only one pair of parallel sides, then it is not a parallelogram.
This translates to the following statement "a quadrilateral is a parallelogram if and only if it has two pairs of parallel sides". Meaning that if we have a parallelogram we know we have a quadrilateral with two pairs of parallel sides and if we have a quadrilateral with two pairs of parallel sides we have a parallelogram.
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
HELP ASAP PLEASEEEE!
Answer:
it is c
Step-by-step explanation:
Given the line 2 x - 3 y - 5 = 0, find the slope of a line that is perpendicular to this line. A.3/2
B.2/3
C.- 3/2
Answer:
Step-by-step explanation:
2x - 3y = 5
-3y = -2x + 5
y = (2/3)x - 5
the perpendicular slope is -3/2
the answer is c
Answer:
the perpendicular slope is -3/2
Step-by-step explanation:
I need help finding the area
Answer:
48m
Step-by-step explanation:
A=hbb
2=12·8
2=48
Answer:
60
Step-by-step explanation:
12 x 10 = 120
120 / 2 = 60
hope this helps :)
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
Please help will be greatly appreciated
Answer:
Step-by-step explanation:
Hands you please help
Please help ASAP I’m confused
I WILL GIVE BRAINLIEST
Answer: [tex]x=4.7434[/tex]
Step-by-step explanation:
Use the pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
plug in and solve
[tex]x^{2} +3x^{2} =(3\sqrt{10}) ^{2}[/tex]
[tex]4x^{2} =90[/tex]
[tex]x^{2} =22.5[/tex]
[tex]x=4.7424[/tex]
if you need to solve for the sides
3x = 3(4.7434) = 14.2302
Someone please help me!
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
1: The value of an object after t years can be modeled by the function v(t) = 1500 - 120t
Find the value of the object after 20 years.
Answer:
5
Step-by-step explanation:
In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?
a) reflection followed by a rotation
b) translation followed by a rotation
c) translation followed by a reflection
Answer:
B. i think?
Step-by-step explanation:
Is this SAS or Not SAS?
the special assault squad or the SAS where oppressive soldiers sent from england to murder irish people for fighting for freedom
A a=35
B a=-35
C a=28.5
D a=57
Answer:
B.) -35
Step-by-step explanation:
what is the greatest common factor of 33,15
Answer:
The answer is 3
Step-by-step explanation:
I need the answer to this question
please help me! thank you
Answer:
13 pounds happy to help mark me as brainliest pls!!!
Step-by-step explanation:
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
https://brainly.com/question/9484490
#SPJ2
a circle with a radius of 1 unit
Answer:
C= 6.28 A: 3.14
Step-by-step explanation:
Circumference of a circle is 2* pi * r
Based on this, we can subsitute r for 1
2* pi * 1= 2pi which is around 6.28 units
Area of a circle is pi* r* r
Based on this, we can subsitute r for 1
pi* 1* 1= pi= 3.14 units squared
