Answer:
36 is the HCF of 108 and 72
Answer:
36.
Step-by-step explanation:
HCF of 108 and 72
108 = 2 * 2 * 3 * 3 * 3
72 = 2 * 2 * 2 * 3 * 3
So picking out the common factors we have
HCF = 2 * 2 & 3 * 3
= 4 * 9
= 36.
1. Find the total surface area of the net below
Answer:
dfdg
Step-by-step explanation:
fd
For what value does (1/9)^a+1=81^a+1 12^2-a?
Answer:
a = -4
Step-by-step explanation:
[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]
[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]
[tex] -2a - 2 = a + 10 [/tex]
[tex] -3a = 12 [/tex]
[tex] a = -4 [/tex]
21 x 15 = (20 + 1) x 15 =
Answer:
hello! have a good day!
21 x 15 = (20 + 1) x 15 = 315
HURRYYY PLEASE AND THANK YOUUMrs. Green wants to make some toys for a store. She starts
working at 8 AM and stops at 12 PM everyday. The store needs
120 toys and requires Mrs. Green to make them in three days.
What must be her average rate of toys made per hour?
toys/hour
I
I
Enter the answer
Answer:
10 per hour
Step-by-step explanation:
Answer: 75
Step-by-step explanation:
Tell me if it’s wrong or not
1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?
Pls help
A. 6.48%
B. 3.34%
C. 5.23%
D. 2.15%
Answer:
The growth rate for the period was of 17.86%.
Step-by-step explanation:
To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.
A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.
Change: 132 - 112 = 20
Initial value: 112
Growth rate as a percent:
20*100/112 = 17.86%
The growth rate for the period was of 17.86%.
Answer:b
Step-by-step explanation:
What is the volume of this cuboid? Remember to include the correct unit of measurement
Answer:
100 cubic cm
Step-by-step explanation:
5 x 2 = 10
10 x 10 = 100
Answer:
hope it helped have a good day mate
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0,1, and 1+i
Answer:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Step-by-step explanation:
The standard polynomial is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient and p and q are the zeros.
We are given that the zeros are x = 0, 1, and 1 + i.
First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.
Therefore:
[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]
Simplify:
[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]
Expand the third and fourth factors:
[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]
Distribute:
[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]
Expand:
[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]
Therefore:
[tex]=x^2-2x+(2)=x^2-2x+2[/tex]
Hence, our polynomial function is:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
What is the distance, in units, between A(-4,-4)and (0,-2)
Answer:
2√5 ≅ 4.47
Step-by-step explanation:
which expression represents the product of 83 and x
83+x
83÷x
83x
83-x
Evaluate the expression.
2
3
(
−
7
)
+
2
3
(
−
5
)
3
2
(−7)+
3
2
(−5)
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!
The sum of1/2 and 1/5 is between 1/2 and 1?
Answer:
the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
116.8 115.7 114.9 115.4 115.9
Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
Answer:
a) The deviations from the mean
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
b)
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
Step-by-step explanation:
Step(i):-
Given that the sample observations
x : 116.8 115.7 114.9 115.4 115.9
Mean of the sample
= ∑ x/n
Mean of sample x⁻ = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]
Mean of sample x⁻ = 115.74
Step(ii):-
The deviations from the mean
|x-x⁻| : 116.8-115.74 115.7-115.74 114.9-115.74 115.4-115.74 115.9-115.74
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
|x-x⁻||²: 1.1236 0.0016 0.7056 0.1156 0.0256
The variance of the given sample observations
S² = ∑ (x-x⁻)² / n-1
[tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches
Shorter Answer:
7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
Answer: 56 000 yards
LongerAnswer (going more into depth):
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches = 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
Which expression is equivalent to
14x-21
7
A. 2x - 21
B. 2x-3
c. 7x - 28
D. 7x - 14
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
Answer:b
Step-by-step explanation: took the test
I need help please.
Answer:
Not a function.
Step-by-step explanation:
The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.
the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help
Answer:
3
Step-by-step explanation:
9 divide by 3 is 3 itself so the answer is 3
You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
Answer:
Step-by-step explanation:
[tex]express each ratio in its simplest form \: 18hours to 2day
Answer:
Step-by-step explanation:
18 hours : 48 hours = 3:8
when doing the increasing function do we use the exact point?
Answer:
Step-by-step explanation:
According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Hope this helps!!
Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?
Answer: $156
Step-by-step explanation: 312 divided by 2 = 156
Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)
Answer:
Step-by-step explanation:
You need to find the slopes of the line segments.
If the lines are perpendicular to each other, the product of their slopes is -1.
If the lines are parallel, they have the same slope.
AD is tangent to circle B at point C. What is the measure of angle BCA.
Answer:
90°
Step-by-step explanation:
Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.
AC is tangent and BC is radius.
Radius is perpendicular to the tangent.
Therefore,
measure of angle BCA = 90°
HELP PLS THANKS :)))
ans of these is 180
Step-by-step explanation:
abckdkkdkekekekekeoe
Answer:
Step-by-step explanation:
Hollllaaaa
If you split the clock, which is a 360 degree circle into 10- minute intervals, what is the central angle of each interval?
Answer:
Since 15 mins are 90 degrees
10 mins are 60 degrees
What is the property of 4x+6=18
Answer: 4x-6= 18
4x=24
x= 24 & 4
x=6
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?
But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.
Solve for x in equation x^2-10x25=35
Answer: b
Step-by-step explanation:
x= 5+√35 and 5-√35
Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98
Answer:
A
Step-by-step explanation:
sin 82 I think but i just try
PLEASE PLEASE PLEASE PLEASE HELP!
Answer:
x=40°
Step-by-step explanation:
x=180-75-65=40°
