Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh
Answer:
Answer: 14.5 pounds
Step-by-step explanation:
Step-by-step explanation: Do 5.8 times 2.5
Answer:
14.5 lb
Step-by-step explanation:
1 bag weighs 5.8 lb.
2.5 bags weight 2.5 × 5.8 lb
2.5 × 5.8 lb = 14.5 lb
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.
Answer:hhfff
Step-by-step explanation:
The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The graph correctly defines one solution.
The straight line intersects the circle at point A in the third quadrant.
The coordinates of point A are (-1,-1).
Hence, the solution is: x = -1,and y = -1
(x+1)² + y² = 1 and y=2x+1
Solving for 'x'
(x+1)² + (2x+1)= 1
x²+1+2x + 4x² + 1 + 4x =1
5x² + 6x + 1 = 0
(x+1/5)(x+1) = 0
(x+1/5) = 0 and (x+1) = 0
x = -1/5 and x = -1
For x = -1
y = 2(-1) +1 = -2+1 = -1
For x = -1/5
y = 2(-1/5) +1 = -2/5 + 1 = 3/5
Hence, the solution is : x = -0.2 and y =0.6
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The question seems to be incomplete the missing part has been attached below
The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.
Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.
Answer: No
Step-by-step explanation:
It should be 2x-4 (2*×=2x and 2*2=4)
No, the simplified expression is not correct.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given expression
2(x - 2) - 2(3)
so 2(x - 2) = 2x - 2(2)
= 2x - 4
and 2(3) = 6
substitute the value
2(x - 2) - 2(3) = 2x - 4 - 6
= 2x - 10
and equation of Marty is 2x - 8
Hence the equation of marty is incorrect.
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Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.
Answer:
d
Step-by-step explanation: i chose d
which of the following values are solutions to the inequality 9≤3x+4
Answer:
x≤5/3
So any number at 5/3 or above is a solution
Step-by-step explanation:
Subtract 4 on both sides:
5≤3x
Divide 3 on both sides
x≤5/3
So any number at 5/3 or above is a solution
Hope this helps!
Find x and y.
[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]
[tex]\\ \sf\longmapsto x=11+9[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
And
[tex]\\ \sf\longmapsto y+10=2y-40[/tex]
[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]
[tex]\\ \sf\longmapsto y=50[/tex]
Step-by-step explanation:
x2x + 11 = 3x - 9
2x - 3x = -9 - 11
x = -20
[tex] \: [/tex]
yy + 10 = 2y - 40
y - 2y = -40 - 10
-y = -50
y = 50
A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?
Answer:
v is -8
Step-by-step explanation:
The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope, so let's write:
y = -(2/9)x + b
We can find b by using the one fully given point, (-4, -6).
y = -(2/9)x + b
-6 = -(2/9)(-4) + b
b = -6 - (8/9)
b = -(62/9)
Now we have y = -(2/9)x - (62/9)
We want the value of y when x is 5 to find v in (5,v):
y = -(2/9)x - (62/9)
y = -(2/9)(5) - (62/9)
y = -(10/9) - (62/9)
y = -(72/9)
y = -8
v is -8
Diya used modeling to find
2
.
82
÷
3
.
She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that
2
.
82
÷
3
=
0
.
94
.
Which of the following is the correct conclusion about Diya's quotient of 0.94?
help mee
Answer:C
Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04
The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.
What are decimal numbers?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
According the given question, the numerical expression is
20/10 + 7/10+12/100
= 2+0.7+0.1
= 2.8
She divided all of the tenths and hundredths into three equal groups.
That is, 2.82/3
=0.94
Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
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please help! will make u brainliest
Answer:
i. Rs6,000
ii. Rs6,900
Step-by-step explanation:
i. FV = PV(1 + r)^d
FV = 40,000(1 + 0.15)^1
FV = 40,000(1.15)
FV = 46, 000
46, 000 - 40,000
Interest = Rs6, 000
ii. FV = PV(1 + r)^d
FV = 46,000(1 + 0.15)^1
FV = 46, 000(1.15)
FV = 52, 900
52, 900 - 46, 000
Interest = Rs6, 900
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
_♡_mashi_♡_
A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1
Answer: C) y = -1
Step-by-step explanation:
A horizontal line is represented by y = a constant. As such, the line must be y = -1, because the given point is (-3, -1), which has a y-coordinate of -1.
Answer:
D y=-1
Step-by-step explanation:
In horizontal lines, the equation is y=b. B is the location of the y-axis where the line crosses through it. Hope this helps :)
find CP when sp=47180 loss=5%
Answer:
The cost price 49,359
Step-by-step explanation:
To find the loss, turn 5% to decimal then multiply it to the selling price
5% = 0.05
47,180 * 0.05 = 2,359
The loss is 2,359.
Now add it to the selling price to find the cost price.
47,180 + 2,359 = 49,539
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
Camila ubicó 90 botellas en una estantería de un supermercado y de ellas eran de jugo sin azúcar.Si los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, ¿con cuál de las siguientes operaciones se calcula la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería?
Camila puso 30 botellas de cada sabor en la estantería.
Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:
90/3 = X30 = XPor lo tanto, Camila puso 30 botellas de cada sabor en la estantería.
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Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
(Hurry) guys pls help me, i don’t understand what my teacher taught me
Answer:
Step-by-step explanation:
me too i dont know
Answer:
8 cm≈ 117.6 cm³Step-by-step explanation:
Total surface area:
A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant heightWe are given:
A = 161 cm²Find the value of l:
14l + 49 = 16114l = 112l = 112/14l = 8 cmUse Pythagorean to find the height h of the pyramid:
l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cmFind the volume:
V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³Helpppppppppppp 70,000x379=????
Answer:
26,530,000
Step-by-step explanation:
this is quite easy, first you can write this question differently
Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000
The multiplication or products of 70,000 and 379 is 26,530,000
How to multiply or find the product of valuesGiven:
70,000 × 379
= 26,530,000
Where from the left,
0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.
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If a+ b = 6 and ab = 2 find a^3 + b^3
Answer: 180
Step-by-step explanation:
This is just testing if you know the sum of cubes formula:
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]
Plugging in the respective values, you get
[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
Please help me with this geometry work, its very confusing! Picture provided! Please help ASAP
is 6,8,9 a pythagorem theorem? pls help me due rn
Answer:
No, it isn't.
Step-by-step explanation:
Pythagorean theorem is x^2 + y^2 = z^2.
6^2 + 8^2 = 9^2
36 + 64 = 81
100 = 81
So, it isn't.
Answer:
No.
Step-by-step explanation:
36+64 does not equal 9² (81)
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
A line includes the points (7, –7) and (11, –3). What is its equation in slope-intercept form?
Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day
Answer:
38 minutes per day
Step-by-step explanation:
Divide 114 to 3
114 ÷ 3 = 38
Divide 304 to 8
304 ÷ 8 = 38
Answer:
1 day = 38 minutes
Step-by-step explanation:
3 days = 114 minutes
=> 1 day = 38 minutes
=> 8 days = 38 x 8 minutes.
Her rate is 1 day = 38 minutes. Hoped this helped.
x-1=0 pls answer me I'll give u 10 points
Answer: x=1
Add 1 to both sides x-1=0 x-1+1=0+1
In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?
Answer:
3 years.
Step-by-step explanation:
Answer
3 years
Step by step explanation
Interest = 1740 - 1200
= 540
SI = prt/100
540 = 1200*15*t/100
540 = 12*15*t
540 = 180*t
t = 540/180
t = 3 yrs
What is the distance between (-4,-8) and (2,3)?
Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.
Answer:
150 Miles
Step-by-step explanation:
Let's say it takes x time to get there.
X x 30=(8 - 6) x 50 (The distance is the same)
30X=400 - 50X=7 X=5 hours.
So the distance is 5 x 30=150 miles.