Answer:
"31st in the sequence"
87/3 = 29 .. 29 subtractions needed to get to zero
the 30th position in the sequence will be zero
the 31st is the first negative term
1 87
2 84
3 81
4 78
5 75
6 72
7 69
8 66
9 63
10 60
11 57
12 54
13 51
14 48
15 45
16 42
17 39
18 36
19 33
20 30
21 27
22 24
23 21
24 18
25 15
26 12
27 9
28 6
29 3
30 0
31 -3
Step-by-step explanation:
You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*
1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.
The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.
We know that, average = Sum of all the observations/Number of observations
Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6
= 24.042/6
= 4.007 ounces
Therefore, option 2 is the correct answer.
To learn more about an average visit:
https://brainly.com/question/11195029.
#SPJ3
need help w this onee thankss!!
Step-by-step explanation:
if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.
now from the angle given i.e X.
perpendicular= 5 cm
base = 14 -2= 12 cm
hypotenuse= ?
we know that,
h² = p²+b²
= 5²+12²=169
h= √169
h= 13
again,
cos X = b/h
= 12/13
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
A circular plate has a circumference of 37.7cm. Calculate the diameter of the plate.
Circumference of circle = 2πr
Putting values ::-
37.7 = 2 × 3.14 × r
r = 37.7 ÷ 6.28
r = 6.003 (approx)
therefore,
d = r × 2 = 6.003 × 2
d = 12.006
.·. Diameter of plate ≈ 12 cm.
With three people living together, how will the rent and other expenses be split?
Answer:
Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.
Step-by-step explanation:
some number was divided into 176.9. this quotient was then multiplied by 4 , after which the resulting product was added to 10.2 given this sum totalled -38.6, find the initial number
9514 1404 393
Answer:
-14.5
Step-by-step explanation:
Let the number be represented by x.
176.9/x . . . . the quotient of some number divided into 176.9
4(176.9/x) . . . . the quotient multiplied by 4
10.2 + 4(176.9/x) . . . . the product added to 10.2
And that totals -38.6:
-38.6 = 10.2 +4(176.9/x)
Solution
-48.8 = 4(176.9/x) . . . . subtract 10.2
-12.2 = 176.9/x . . . . . . . divide by 4
x = 176.9/(-12.2) . . . . . multiply by x/-12.2
x = -14.5 . . . . . . . . . . . finish the division
The initial number is -14.5.
100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answer:
10/3
Step-by-step explanation:
remember about right order
Fred drew the pentagon below how should fred fold the pentagon to determine
The question is incomplete. The complete question is :
Fred drew the pentagon below how should Fred fold the pentagon to determine if ∠ C is congruent to ∠ D ?
Solution :
Given Fred drew a pentagon as shown below :
In mathematics, congruent angles are defined as the angles having the same measure or the same angle.
A angles of a regular pentagon always have the same measures and each angle is equal to 108 degrees.
In the context, Fred drew a pentagon and if he folds the pentagon along the vertical axis, the side BC aligns with the side DE and thus it makes the ∠ C congruent to ∠ D.
Please click the photo and there are two questions to solve .Please help me guys
Answer:
Step-by-step explanation:
Distance formula:
[tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
Distance for AB
[tex]\sqrt{(4-2)^2+(1-(-5))^2}=\sqrt{4+36}=\sqrt{40}\\[/tex]
Distance for AC
[tex]\sqrt{(8-2)^2+(-3-(-5))^2}=\sqrt{36+4}=\sqrt{40}[/tex]
2.
same formula solve when positive
[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\4=y-2\\6=y[/tex]
Now when it's negative
[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\-4=y-2\\y=-2[/tex]
so y can equal 6 or -2
4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.
A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag
Please helpppp
Answer:
A. Diagonal line
Answer:
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Step-by-step explanation:
m2 = 10x + 2 and m2) = 9x + 8.
Find x.
U
Solve for x.
Answer:
x=m2/10 − 1/5
x=m2/9 − 8/9
Step-by-step explanation:
what can you conclude about the tangent lines and the diameter of a circle?
A. No relation
B. perpendicular
c. Skewed
D. Parallel
Answer:
B. perpendicular Hope this helps!
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below
Answer:
Relationship: supplementary
B = 110
Step-by-step explanation:
The two angles shown form straight line
Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles
If the angles add up to equal 180 then b + 70 = 180
Subtract 70 from both sides
b = 110
(1) At the local nursery, 1/2 of the plants for sale are flowers and another 1/10 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Answer:
6/10
Step-by-step explanation:
Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.
We can find a total amount of plants that are either flowers or bushes by combining the two.
Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.
[tex]\frac{1}{2} +\frac{1}{10}[/tex]
[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]
[tex]\frac{5}{10} +\frac{1}{10}[/tex]
[tex]\frac{6}{10}[/tex]
This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.
I hope this helped :)
What is the slope of the line formed by (7,1) and (-3,3)?
Answer:
JMK
Step-by-step explanation:
Answer:
[tex]-\frac{1}{5}[/tex] is the slope of the line.
Step-by-step explanation:
(7 , 1) = (x1 , y1)
(-3 , 3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=3 - 1/-3 - 7
=2/-10
=1/-5
=[tex]-\frac{1}{5}[/tex]
Find the sum of the first 9 terms of the following series, to the nearest integer.
24, 48, 96,...
Answer:12264
Step-by-step explanation: (24)+2(24)+4(24)+8(24)+16(24)+32(24)+64(24)+128(24)+256(24)
points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?
A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?
A.
72π cu. in.
B.
864π cu. in.
C.
3,456π cu. in.
D.
6,912π cu. in.
Answer:
B. 864π cu. in.
Step-by-step explanation:
Given the following data;
Diameter = 24 inches
Radius, r = diameter/2 = 24/2 = 12 inches
Height, h = radius/2 = 12/2 = 6 inches
To find the volume of the cylinder in cubic inches;
First of all, we would determine the area of its circular base.
Area of circle = πr²
Area = π * 12²
Area = 144π in² (in terms of pie, π)
Next, we would find the volume of the cylinder;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.Substituting into the formula, we have;
Volume = 144π * 6
Volume = 864π cu. in
Answer:
B. 864π cu. in.
Step-by-step explanation:
Find MZUVW if mZPVW = 130° and mZUVP = 26.
If you place a 20ft ladder 4ft from the base of the wall, what is the angle measure of the ladder to the ground to the nearest degree.
Given:
Length of the ladder = 20 ft
Distance between base of the ladder and wall = 4 ft
To find:
The angle measure of the ladder to the ground to the nearest degree.
Solution:
Ladder is the hypotenuse of a right triangle. Here, we have,
Hypotenuse = 20 ft
Base = 4 ft
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{4}{20}[/tex]
[tex]\cos \theta=\dfrac{1}{5}[/tex]
Taking cos inverse on both sides, we get
[tex] \theta=\cos^{-1}\dfrac{1}{5}[/tex]
[tex] \theta=78.46304^\circ[/tex]
[tex] \theta\approx 78^\circ[/tex]
Therefore, the correct option is A.
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Answer:
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Step-by-step explanation:
sorry i dont know
Calculate the total surface area and the volume of a cone of base diameter 9cm and slant height of 12cm
Answer:
T.S.A = 233.29 cm²
volume of the cone = 235.84 cm³
Step-by-step explanation:
Given;
diameter of the cone, d = 9 cm
radius of the cone, r = 4.5 cm
slant height of the cone, l = 12 cm
The total surface of the cone is calculated as;
T.S.A = πr² + πrl
T.S.A = πr(r + l)
T.S.A = 3.142 x 4.5(4.5 + 12)
T.S.A = 233.29 cm²
The volume of the cone is calculated as;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where;
h is height of the cone
h² = 12² - 4.5²
h² = 123.75
h = √123.75
h = 11.12 cm
[tex]V = \frac{1}{3} \pi \times (4.5)^2 \times 11.12\\\\V = 235.84 \ cm^3[/tex]
Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable
expenditure. The capital of the two
partners together is given by polynomial 6x+10x -35, which is the product of
their individual share factors.
On the basis of the above information,
answer the following questions.
i) The total expenditure of Vicky and Love
when x = 10 is (in )
(a) 375 (b) 475
(c) 575 (d) 675
(ii) The shares of the Vicky and Love
individually is
(a) 2x +7, 3x -
5
(b) 3x -5, 2x +7
(c) Both (a) and (b)
(d) None of the above
(iii) The value of x, when their shares are
equal
(a) 12 (b) 10
(c) 8 (d) 6
(iv) The value of x, when their total share is
equal tob0
7
(a)- (b) 3
(c) Both (a) and (b) (d) None of these
(v) The sum of their expenditure is
(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2
1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit
9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points
Answer:
Step-by-step explanation:
5n⁵c⁻⁵ * 2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³
=10*n° *c⁻³
= 10c⁻³ (n° = 1}
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]
How to do long division
Answer:
if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps
Obtain the number whose square root is to be computedplace bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient put the question above the period and write the product of divisor and question just below the first period.subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .repeat the steps 5 6 and 7 till all the periods have been taken up .obtain the quotient as a square root of the given number .Hope it helps
Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?
A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches
========================================================
Explanation:
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
5 ft, 3 in = 63 inches (add 3 inches to both sides)
Through similar steps, you should find that 4 ft 8 in converts to 56 inches
The difference is 63-56 = 7 inches
In a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.
Draw a Venn Diagram to help you answer the questions.
Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!
Answer:
This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total
Step-by-step explanation:
Name the property shown by the statement. (5 + m) + n = 5+ (m + n)
Answer:
Associative property of addition
3x + 14 < 38
Please show work
3x + 14 < 38
Subtract 14 from both sides:
3x < 24
Divide both sides by 3:
X < 8