Answer: 18,840*pi
Step-by-step explanation:
The volume of a globe would be 4/3*pi*radius^3 so that would be 4/3*14,130= 18840*pi or approximately 59,187.6055
33
The base of a right rectangular prism has
an area of 172.5 square centimeters and
a height of 8 centimeters. What is the
volume, in cubic centimeters, of the
right rectangular prism?
A 180
B 280
C 1,280
D 1,380
3
Answer:
D 1,380
Step-by-step explanation:
V = area of base × height
V = 172.5 cm² × 8 cm
V = 1380 cm³
a radioactive substance that has half-life lof 32 years. Find the constant k in the decay formula for the substance
I put up 50 PTS if you just say a random word I will report you
Answer:
[tex]\displaystyle k = \frac{1}{32}\ln\frac{1}{2} \approx -0.02166[/tex]
Step-by-step explanation:
The decay formula is given by:
[tex]\displaystyle P(t) = P_0e^{kt}[/tex]
Where k is some constant, P₀ is the initial population, and t is the number of years.
Because the substance has a half-life of 32 years, P(t) = 1/2P₀ when t = 32. Substitute:
[tex]\displaystyle \frac{1}{2}P_0 = P_0 e^{k(32)}[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \frac{1}{2} & = e^{32k} \\ \\ \ln\left(e^{32k}\right) & = \ln\left(\frac{1}{2}\right) \\ \\ 32k & = \ln\frac{1}{2} \\ \\ k & = \frac{1}{32}\ln\frac{1}{2} \\ \\ &\approx -0.02166\end{aligned}[/tex]
In conclusion, the value of k is about -0.02166.
The value of k in the exponential decay formula is k = 0.022
How to find the value of k?To find the constant k in the decay formula for the radioactive substance, we can use the formula for exponential decay, which is given by:
N(t) = N₀*exp(-kt)
where:
N(t) is the amount of the radioactive substance at time t.N₀ is the initial amount of the substance at t = 0 (time of measurement).e is the base of the natural logarithm (approximately 2.71828).k is the decay constant we need to find.t is the time elapsed (in this case, t is measured in years since the half-life is given in years).The half-life of the substance is the time it takes for half of the substance to decay, which is 32 years in this case. So, after one half-life, N(t) = N₀ / 2.
Now, let's set up the equation for one half-life:
N(t) = N₀ * exp(-k * 32)
Since N(t) = N₀ / 2 after one half-life, we can write:
N₀ / 2 = N₀ * e^(-k * 32)
Now, divide both sides by N₀:
1/2 = exp(-k * 32)
To solve for k, take the natural logarithm (ln) of both sides:
ln(1/2) = -k * 32
k = ln(1/2) / -32
k = 0.022
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A rectangle has sides that are 7 and 2/5 inches wide and 11 and 2/3 inches long. What is the perimeter of the rectangle?
Answer:
38.1333333334
Step-by-step explanation:
Perimeter of rectangle:
2 × (length + width) inches
2 × (7 2/5 + 11 2/3) inches
2 × 19.0666666667 inches
38.1333333334
A repair company charges a one-time service fee and an hourly rate for the time needed to complete each job. The
table shows the amounts the company used for these charges over four consecutive years.
Charges for Repair Jobs
Year
12 3 4
Service Fee $20 $25 $30 $35
Hourly Rate $52$55 $58 $61
Part A
Using the data in the table, what would the company's service fee and hourly rate, in dollars, be in year 8? Enter
your answers in the first and second response boxes.
Part B
What total amount, in dollars, would the company charge for a job that requires 3 hours of work in year 9? Enter
your answer in the third response box.
Part A: Service Fee
Part 1: Hourly Rate
Answer:
A: Service Fee = $55
Hourly Rate = $ 73
B: $288
Step-by-step explanation:
A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)
B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288
a chair costs rupees 250 and a table costs rupees 400 . If housewife purchased a certain number of chair and two tables fo rupees 2800,find the number of chairs she purchased
Answer:
The housewife purchased 8 chairs
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
what is the sum of 9+10?
Answer:
19.
Step-by-step explanation:
What are the solutions of this quadratic equation? 9x^2+10=5
Answer:
No solution
Step-by-step explanation:
9x² + 10 = 5
⇔ 9x² = 5 - 10
⇔ 9x² = -5
This is impossible because 9x² > 0 and -5 < 0
Identify the terms and like terms in the question 3n+7-n-3
Answer:
like terms: (3n,-n),(7,-3)
Step-by-step explanation:
Answer:=2n+2
Step-by-step explanation:
3n+7-n-3=2n+2
read below thanks :D
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
__
Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
__
Alternate solution
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²
help with geometry pleaseeee will mark the brainiest!
Answer:
384.29 in²
Step-by-step explanation:
The radius of these circles is 5 in.
- As the radii are equal, and 4 of them are used to make up the side of the square. [20 ÷ 4 = 5]
To find the area of circle, you use the formula [tex]\pi r^{2}[/tex]
[tex]\pi[/tex] · (5)² = 25[tex]\pi[/tex]
The area of the square equals the length x width
20 · 20 = 400
To find the area of the shaded region, subtract these values.
400 - 25[tex]\pi[/tex] ≈ 389.29 in²
PLEASE HELP PLEASE PLEASE
Answer:
Sublimation - is the transformation from a solid to gas.
Hope this helps!
are positive 4 and negative 4 equal to each other?
Answer:
Step-by-step explanation:
no, because positive 4 is 8 more than negative 4.
Answer:
one positive n one negative equals a positive
Step-by-step explanation:
no?
Circle the exponent
ANSWERS THESEEESS!!!!
Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.
The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
What is the Lateral Surface Area and Surface Area of a Square Pyramid?Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
a = 11 cml = 15 cmSurface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
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The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².
Surface area of a pyramidsurface area = A + 1 / 2 ps
where
A = area of the basep = perimeter of the base s = slant heightTherefore,
surface area = 11² + 1 / 2 × (11 × 4) × 15
surface area = 121 + 1 / 2 × 44 × 15
surface area = 121 + 330
surface area = 451 cm²
Lateral area of a square pyramidlateral area = 1 / 2 ps
lateral area = 1 / 2 × 44 × 15
lateral area = 330 cm²
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
11
220
X
Answer: X is 11,
Step-by-step explanation:
Hope it helps you
pleaseeee helpp!!!! Nowwww
Answer:
ITS B because sqrt 11 is 3.something
Step-by-step explanation:
Identify the range of the function shown in the graph.
Answer:
B.
Step-by-step explanation:
the range is the y values of the line.
so it would be [3, 6]
please help!
Matrices
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Scalar factor Multiplication in Matrix.
So from the above matrix, -3A , is just simply multiplying the -3 to every element of the matrix, so we get as,
===> -3A = | -9 -18 |
| -24 -21 |
| -6 6 |
hence the correct option is B.
You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.
Answer:
e is the amount of people
Step-by-step explanation:
4 x so let’s say you have two x you have 50% of the people that said yes.
Find the exact circumference of each circle using the given inscribed or circumscribed polygon.
Answer:
58π mi.
Step-by-step explanation:
The diameter of the circle = the hypotenuse of the right triangle ( by the angle subtended by a diameter theorem).
By Pythagoras:
diameter^2 = 40^2 + 42^2
= 3364
Diameter = 58 mi.
Now the circumference
= diameter * π
= 58π mi.
i need some help here... pls help 8th grade
need answer asap thank you
Answer:
56
Step-by-step explanation:
First of all, if the width of the frame is 2, then add 2 to both sides of 7 to get the frame length7 + 2 + 2 = 11Do the same for 33 + 2 + 2 = 7Area of frame and white rectangle combined = 11 × 7 = 77Area of white rectangle is 7 × 3 = 21Now to get the area of the blue bit, subtract 21 from 77This gives you 56B form.
Given the system of equations below, write the system in AX
- 112 - 13y = - 62
72 - 3y = 25
[3]
Il
Answer:
[tex]X=\left[\begin{array}{cc}-5&2\\0&8\\8&1\end{array}\right][/tex]
Step-by-step explanation:
Solving the given matrix equation, we find ...
X = (1/4)(C - B)
These operations, subtraction and multiplication by a scalar, are done on a term-by-term basis. A calculator or spreadsheet can do these for you.
For example, the middle right term (row 2, col 2) is ...
(38 -6)/4 = 32/4 = 8
Answer:
[tex]X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]
Step-by-step explanation:
[tex] Given \:\: B=\begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix} \: and\: C=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]
To Solve: 4X + B = C
[tex]\implies 4X + \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]
[tex]\implies 4X =\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}- \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}[/tex]
[tex]\implies 4X =\begin {bmatrix} -12-8 & 6-(-2)\\-1 -(-1)& 38-6\\24-(-8) & -6-(-10)\end{bmatrix}[/tex]
[tex]\implies 4X =\begin {bmatrix} -12-8 & 6+2\\-1 +1 & 38-6\\24+8 & -6+10\end{bmatrix}[/tex]
[tex]\implies 4X =\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]
[tex]\implies X =\frac{1}{4}\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]
[tex]\implies X =\begin {bmatrix} \frac{-20}{4} & \frac{8}{4}\\\\\frac{0}{4}& \frac{32}{4}\\\\ \frac{32}{4} & \frac{4}{4}\end{bmatrix}[/tex]
[tex]\implies X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]
i need help on this 6th grade math question:
its for 20 points
Answer:
Quadrant I.Step-by-step explanation:
Quadrant I examples:
(2, 5)(3, 4)(7, 1)Quadrant II examples:
(-1, 5)(-6, 2)(-4, 7)Quadrant III examples:
(-3, -4)(-7, -1)(-8, -5)Quadrant IV examples:
(5, -6)(1, -4)(8, -2)I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 108 , y = 72
Step-by-step explanation:
x and 108 are alternate exterior angles and are congruent , then
x = 108
x and y are same- side exterior angles and sum to 180° , that is
x + y = 180
108 + y = 180 ( subtract 108 from both sides )
y = 72
Huuuurrry plllzzzzzz. Determine the equation of the line that passes through the given points (2,6) and (4,16)
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope of the lineb is the y-intercept (the value of y when the line passes through the y-axis)To find linear equations in slope-intercept form:
Determine the slopePlug the slope into the general formDetermine the y-intercept by isolating bPlug the b back into the equationSolving the QuestionWe're given:
The line passes through the points (2,6) and (4,16)First, determine the slope of the line.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points that fall on the line
⇒ Plug in the given points (2,6) and (4,16):
[tex]m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5[/tex]
⇒ Therefore, the slope of the line is 5. Plug this back into the general form:
[tex]y=5x+b[/tex]
Now, determine the y-intercept.
[tex]y=5x+b[/tex]
⇒ Plug in one of the given points:
[tex]6=5(2)+b\\6=10+b\\b=-4[/tex]
⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:
[tex]y=5x-4[/tex]
Answer[tex]y=5x-4[/tex]
if you were to flip the coin 15, how many times will the coin land on tails based on experimental probability? jordan flipped a count of 45 times.His result are below: heads: 24 tails: 21
Answer:
It will land 7.5 times on tails, which is rounded up to 8 times
Step-by-step explanation:
there are 2 possibilities, heads or tails
so you divide 15 in 2 and get 7.5
The coin will land 7 times tail based on the experimental probability.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
When the coin tossed 45 times.
Head= 24, tail = 21
So, fraction of appearing tail will be
= 21 / 45
= 0.466667
Now, if the coin tossed 15 times then the coin land on tails
= 15 x 0.466667
= 7
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Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83
since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.
if we take 76 to be the 100%, what is 13.83 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]