[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]
The rule used is
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Subtract the exponents when dividing exponentials like this of the same base.
Is the vertex of the graph a maximum or a minimum?
Answer:
maximum
Step-by-step explanation:
the vertex will give the maximum value for y, which is 3
If the radius of a clock is 5 inches, what is the distance around the edge of the clock between the two and the five to the nearest hundredth of an inch
plssss help
thank you
Answer:
7.85 inches
Step-by-step explanation:
It mentions distance around the edge of the clock, which is basically another term used for arc length.
Arc Length Formula :
Arc Length = 2πr × θ/360°
Values given :
Radius (r) = 5 inches
Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°
Solving :
Arc Length = 2 x 3.14 x 5 x 90/360
Arc Length = 15.7 x 0.5
Arc Length = 7.85 inches
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
Which expression is irrational?
A 18
B 18
C 64
D 364
Answer:
all of those answers are rational numbers
Step-by-step explanation:
The cost of a kayak is $2,450 and the selling price is $3,560 find the nearest percent of markup on the selling price. round to the nearest tenth of a percent.
well, the markup or the bumped up amount is 3560 - 2450 = 1110.
if we take 2450 to be the 100%, what is 1110 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2450 & 100\\ 1110& x \end{array} \implies \cfrac{2450}{1110}~~=~~\cfrac{100}{x}\implies \cfrac{245}{111}~~=~~\cfrac{100}{x} \\\\\\ 245x=11100\implies x=\cfrac{11100}{245}\implies x\approx 45.3[/tex]
The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.
The answer is 28.09 g. I hope this helped.
Answer:
The answer is 4.2 g
You work for a cereal company that is looking to design some new boxes for their cereal. The cereal is sold in the size of 512 cubic units
You will be designing three rectangular prisms with unique dimensions. Find the surface area of each of your prisms, showing your work.
Dimensions and Surface Area
1)
2)
3)
If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
You work for a cereal company that is looking to design some new boxes for their cereal.
The cereal is sold in the size of 512 cubic units.
You will be designing three rectangular prisms with unique dimensions.
The possible dimension of the rectangular prism will be
Volume = 512
Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Then we have
{(4, 8, 16), (2, 8, 32), (2, 4, 64)}
Then the surface area will be
If the dimension is (4, 8, 16). Then the surface area will be
Surface area = 2(4x8 + 8x16 + 16x4)
Surface area = 448 square units
If the dimension is (2, 8, 32). Then the surface area will be
Surface area = 2(2x8 + 8x32 + 32x2)
Surface area = 672 square units
If the dimension is (2, 4, 64). Then the surface area will be
Surface area = 2(2x4 + 4x64 + 64x2)
Surface area = 784 square units
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
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Factor the quadratic trinomial x²- 9x+18
(x + ) (x+ )
Answer:
(x - 6)(x - 3)
Step-by-step explanation:
x² - 9x + 18
consider the factors of the constant term (+ 18) which sum to give the coefficient if the x- term (- 9 )
the factors are - 6 and - 3 , since
- 6 × - 3 = + 18 and - 6 - 3 = - 9 , then
x² - 9x + 18 = (x - 6)(x - 3) ← in factored form
Answer:
(x - 3)(x - 6)
Step-by-step explanation:
x²- 9x+18
= x^2 - 6x - 3x + 18
= x(x - 6) - 3(x - 6)
= (x - 3)(x - 6).
FIND B ONLY
WILL GET BRAINLIEST
Answer:
the answer is RATIONAL
Step-by-step explanation:
why u ask
becasue the number is less than 1
please mark brainiest
he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3
Answer:
Answer:
C
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
i got a hundred on the test
Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Question 3(Multiple Choice Worth 1 points)
(08.05 LC)
The graphs of f(x) and g(x) are shown below:
Answer:
The correct equation is D
A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?
A) 5 centimeters
B) 4 centimeters
C) 7 centimeters
D) 3 centimeters
Answer: A. 5
Step-by-step explanation:
Answer:
A) 5 cm.
Step-by-step explanation:
Volume = length * width * height
150 = length * 5 * 6
Length = 150 / (5*6)
= 150/30
= 5.
565.948063818 to 1 decimal place.
Answer:
565.9.
Step-by-step explanation:
The second decimal place is 4 so the first one stays at 9.
Pls help :/
Find the expected value of the winnings from a game that has the following payout probability distribution.
I will give brainlies t
The expected value of the winnings from a game that has the following payout probability distribution is 2.3
What is expected value?In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.
To calculate the expected value ,
we have to multiply each of the given probability by the individual payout value and then add the following answers
So, expected value
=0(0.45) + 2(0.3) + 4(0.1) + 8(0.1) + 10(0.05)
=0+0.6+0.4+0.8+0.5
= $2.3
Hence, the expected value is 2.3
Learn more expected value here:
https://brainly.com/question/24145532
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ACTUAL ANSWER:
3.1
Step-by-step explanation:
0.45(0) + 0.3(4) + 0.1(6) + 0.1(8) + 0.05(10)
= 3.1
Also I checked on on Acellus and it was correct.
al. Rajeshwari prepared 24 kg sweets to be distributed on Diwali. She packed the sweet in boxes. Each box contained kg. a.How many boxes of sweets were prepared? b. How much sweet was left unpacked with her? c.If she has 15 friends, will she be able to distribute the sweets to all her friends?
Answer:
9
Step-by-step explanation:
she have 24kg she gave 15kg so answer is 9
I need help! Find the measure of the indicated angle to the nearest degree.
Answer:
30
Step-by-step explanation:
let unknown angle = x
cos = adjacent / hypotenuse
adjacent of ? = 13
hypotenuse = 15
cos(x) = (13/15)
==> take inverse cos of both sides
x = 30 (rounded)
Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite
Let's find 3/4+1/10
First write the addition with a common denominator.
Then add. 3/4+1/10=?/?+?/?=?/?
Answer:
[tex]\frac{34}{40}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{1}{10}[/tex]=[tex]\frac{30}{40}+\frac{4}{40}[/tex]=[tex]\frac{34}{40}[/tex]Can someone help me with this
HALPPPP its a drop-down
Answer:
Wider than4 units downarrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909
Answer:
0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09
Step-by-step explanation:
Here they are from least to greatest. Hope this helps. :)
3. Find the probability of rolling a prime number when a 14-sided die is rolled.
Answer:
3/7
Step-by-step explanation:
Probability = number of favorable outcomes/total number of possible outcomes
We know the total number of possible outcomes is 14 since there are 14 sides to the dice.
Let's find how many of those numbers are prime numbers.
2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.
Now create the fraction then reduce.
6/14 reduce by 2/2
3/7
I need help solving this
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
Find the surface area of the figure?
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
I really need help with my math someone please help
Answer:
∠ A = 56°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2x + 3x + 40 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
then
∠ A = 2x = 2 × 28 = 56°
i don't know exactly what to do
Answer:
Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...
You start at (3, -2). You move up 5 units. Where do you end?
Answer:
You would end at (3, 3).
Explanation:
You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).
Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.
Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28