a radioactive materal has a half- life of 60 months. How much of a 1000g sample would remain after 42 months?
Answer:
100
Step-by-step explanation:
100
can someone solve this by factoring? i need to show work but don't really understand what we're doing..
the problem is:
Answer:
The answer is x = -7 and x = -8
Step-by-step explanation:
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
HELPPP ASAP 10 POINTS
Answer:
43 degrees
Step-by-step explanation:
The two angles are supplementry because they form a 90 degree angle so you would subtract 47 from 90 to get 43 degrees.
Answer: 43
Step-by-step explanation: 47+ 43 = 90. since x is a vertical angle it is 43.
Which data are represented by this dot plot a 2 4 0 2 4 6 3 0 7 1 2 7 8 1 1 b 0 1 2 3 4 5 6 7 8 0 1 2
Answer:
Mean (Average) 4.0384615384615
Median 2.5
Range 24
Mode 1, appeared 5 times
Geometric Mean 0
Largest 24
Smallest 0
Sum 105
Count 26
Step-by-step explanation:
also you put 'b' in the list so i removed that
Can someone please help me ⚠️
Triangle ABC has vertices with coordinates -1,-1 , 4,0 and 0,4 Prove that ABC is an isosceles triangle but not a right triangle.
What is the M? Will mark brainlist if correct
Is it, a solution or, NOT a solution?
Answer:
Perosnally i think it is not a solution but let me check that for you!
Step-by-step explanation:
Answer:Answer x=15 and the answer for x=6 will be false!
Step-by-step explanation:X=6 is not a solution but the correct answer is 15 .First we know that 5+5=10,then if we add 10+5 that will give us 15.
What is the answer for, A metal bar 8.15 ounces 93% of the bar is sliver. How many ounces of silver are in the bar? ( round to the nearest thousandth)?
Answer:
7.580 ounces
Step-by-step explanation:
The question is asking how many ounces of silver are in the bar. We know that 93% of the bar is silver. The bar is 8.15 ounces. This means we need to find 93% of 8.15. Let's set up an equation.
93% of 8.15
93/100 • 8.15
0.93 • 8.15
= 7.5795
Round to the nearest thousandth.
7.580 ounces
Hope this helps!
what is 8/16 as a whole number
Answer:
2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form.
Step-by-step explanation:
What is 8/16 Simplified? - 1/2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form. Online simplify fractions calculator to reduce 8/16 to the lowest terms quickly and easily.
Answer:
0.5 or 1/2
Step-by-step explanation:
nothing can futher be simplified
Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Answer:
A. 1/4t+1/7t=1
Step-by-step explanation:
convert pounds to ounces complete the following table Its due tomorrow
Answer:
64, 80, 96, and 112.
Step-by-step explanation:
Well, one pound equals 16 onces so you can multiply the number of pounds by 16 to get the answer. I hope this helps! Have a great rest of your day!
find the angle sum of polygon which had 9 sides
Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
Find the value of x
5(x−7)=25
Answer:
x=12
Step-by-step explanation:
5(x−7)=25
Divide both sides by 5.
x−7=25/5
Divide 25 by 5 to get 5.
x−7=5
Add 7 to both sides.
x=5+7
Add 5 and 7 to get 12.
x=12
Answer:
x = 12
Step-by-step explanation:
5(x-7) = 25 (distribute)
5x-35 =25 (add 35 on both sides)
5x = 60 (divide)
x = 12
What's the perimeter?
Answer:
the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
perimenopause is inside just count the inside of the trapezoid
hope this helps
help me pls!! giving brainliest and 5 stars
Answer:
A reflection over the line y = x followed by a translation up 3 units
Step-by-step explanation:
Since this is a multiple choice question, let's test each answer out.
First scenario:
"A reflection over the y-axis followed by a translation right 3 units and down 4 units"
Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.Resulting segment does not match segment X'Y', this answer is incorrect
Second scenario:
"A reflection over the line y = x followed by a translation up 3 units"
Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.Resulting segment matches segment X'Y', this is the correct answer.
Evaluate the function.
f(x)= -x^2
find f(3)
Answer:
f(3) = - 9
Step-by-step explanation:
To evaluate f(3) , substitute x = 3 into f(x) , that is
f(3) = - (3)² = - 9
If the loss incurred on selling an article is 7/20 of the cost price, then find the loss percentage.
Answer: The loss percentage = 65%
Step-by-step explanation:
Let x be the cost price.
As per given,
Selling price = [tex]\dfrac{7}{20}x[/tex]
Loss =Cost price - Selling price
[tex]=x-\dfrac{7}{20}x\\\\=\dfrac{20-7}{20}x\\\\=\dfrac{13}{20}x[/tex]
The loss percent = [tex]\dfrac{loss}{Cost\ price}\times100[/tex]
[tex]=\dfrac{\dfrac{13}{20}x}{x}\times100\\\\=\dfrac{13}{20}\times100\\\\=13\times5\%\\\\=65\%[/tex]
Hence, the loss percentage = 65%
please help!
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Answer:
Step-by-step explanation:
Part A,
99% sure this is D
Part B
It's probably about 4 feet tall.
Part C,
4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Answer:
part A: all the above
partt B: 48
part C: 4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Step-by-step explanation:
for what value of x does the function have an output of 9, given that f(x)=2x+5
x= 2
2(2) + 5 = 9
Hope this helps!
Which describes a number that cannot be irrational?
a number that can be used to solve an algebraic equation
a number that represents the ratio of the circumference to the diameter of a circle
a number that represents the length of the diagonal of a square
a number that can be written as the ratio of two integers
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FREE! PLEASE ANSWER THE QUESTION TO WIN BRAINLIEST! (NO LINKS)
(Posting till I am out)
Question: Where should a line be drawn to make the below equation accurate?
Equation: 5 + 5 + 5 + 5 = 555
This one made me say "OHHHH-"
Answer:
In a plus sign
Step-by-step explanation:
Step-by-step explanation:
the line should be thought the (=) sign (≠)- like this
that means that it does not equal each other because I mean if you solve it, it made it 20=555 and 20 does not equal 555
What’s a possible answer for this question?
Answer:
x-4
Step-by-step explanation:
you get the value of h(x) by dividing f(x)/g(x), so you only put they values for divide.
The angle of depression from a bird sitting on the top of a telephone pole to the base of a tree is 61°. If the telephone pole is 17 feet tall, what is the distance between the pole and the tree?
Hello, I Am BrotherEye
Answer:
Perhaps This Will Help!
https://brainly.in/question/3424477
Step-by-step explanation:
Simply the following expression: 12x + 5x - 8x
Graham wants to determine which football team is the most popular at a game between the home team and the visiting team. Which of the following methods will give him the most accurate results?
What is 9 006 in word
Answer: 9006 in word form is nine thousand six ,
I hope you find this helpful.
Answer: 9,006 in word-form is nine thousand six.
Explanation: To write a number in word form, simply type the number in word form like I did above. If a digit doesn't have a zero, don't type zero, just type the number like I did above. Notice how I didn't include the word "zero" in my answer.
Let me know of any questions or concerns.
A circle has a radius of 8. Find the area of a sector of this circle that is intercepted by central angle measuring pi over 7
Answer:
14.4 square units
Step-by-step explanation:
Keep in mind that the area here is a fraction of the area of a full circle of radius 8.
(area of sector) = (fraction)(pi)(8)^2
The fraction is the given central angle (pi over 7) divided by 2pi:
pi 1
--------- * ----------- = 1/14
7 2pi
Multiply the formula (fraction)(pi)(8)^2 found above by this fraction:
area of sector = (1/14)(pi)(8)^2 = 14.4 square units
Claudia was cooking breakfast for her entire family. She made double the amount of chocolate chip pancakes as she did with the regular pancakes. She only made half as many blueberry pancakes as the regular pancakes. Claudia also knows her family loves sausages, so she made triple the amount of sausage as blueberry pancakes.
How many of each breakfast item did Claudia make if she cooked 100 times in total?
Answer:
easy the answer is 0.0.0
Step-by-step explanation:
1x0=0.0.0