What is the area of the figure on the coordinate plane below?
Answer:
-79
Step-by-step explanation:
Element X is a radioactive isotope such that every 11 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 25 years, to the nearest whole number?
Answer:
Ending Amount = beginning amount / 2^n where "n" is the number of half-lives or elapsed time / half-life
For this problem "n" = 25 / 11 = 2.2727272727
Ending Amount = 60 grams / 2^2.2727272
Ending Amount = 60 / 4.832357534
Ending Amount = 12.4162998242 grams
Source: www.1728.org/halflife.htm
Step-by-step explanation:
A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. The element would remain after 25 years, to the nearest whole number is 2 grams.
What is a radioactive isotope?A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. This surplus energy can be discharged as gamma radiation from the nucleus, transferred to one of its electrons and released as a conversion electron, or used to generate and produce a new particle from the nucleus.
Given the life of radioactive material is stated by the formula,
[tex]N_t = N_o e^{-\lambda t}[/tex]
Now, given the half-life of the comes in 11 years, therefore, the rate of decay will be,
[tex]N_t = N_o e^{-\lambda t}\\\\\dfrac{N_t}{ N_o }=e^{-\lambda t}\\\\0.5 = e^{-\lambda \times 11}\\\\\dfrac{ln(0.5)}{11}=\lambda[/tex]
λ = 0.14631
Given the initial mass is 60 grams, therefore, the amount that will be remaining after 25 years will be,
[tex]N_{25} = 60 \times e^{(-0.14631\times 25)}\\\\N = 1.5474\rm\ grams \approx 2\ grams[/tex]
Hence, the element would remain after 25 years, to the nearest whole number is 2 grams.
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The fourth grade classes are painting designs on tile
squares to make a mural. Mrs. Kirk's class painted 3/10
of the mural. Mr. Becker's class painted 21/100 of the
mural. What part of the mural is painted?
You know how to add fractions with parts that are the
same size. You can use equivalent fractions to add
fractions with parts that are not the same size.
Example 1 Find o + 700
STEP I Write to and 200 as a pair of fractions STEP 2 Add
with a common denominator.
Think: Write using fractions with a common
Think: 100 multiple of 10 ose 100
denominator
the common denominator
30 21
Thinkt already
3 3 x
has 100 in the
100 100 100
10
100 denominator
+
Do
10x
Math
Talk
So
of the mural is painted.
100
MATHEMATICAL PRACTICES
Draw Conclusions When adding
tenths and hundredths, can you
100common
Answer:
51/100
Step-by-step explanation:
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.
cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.
cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.
cu. in
Answer:
a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3
Step-by-step explanation:
volume of cone=(1/3)π(r^2)*h
a) 8.2 in^3
regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3
b) 25.8 in^3
waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3
c) 17.6 in^3
waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3
433.54 in terms of pi
Answer:
138.0700636942675[tex]\pi[/tex]
Step-by-step explanation:
Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase
Answer: 389.69
Step-by-step explanation:
Answer: $29.70
Step-by-step explanation:
total x tax rate= 359.99 x 8.25 = 2969.92
divide by 100% = $29.70
sales tax total: $29.70
What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.
Answer:
24 ft³
Step-by-step explanation:
The volume formula for a rectangular prism is ...
V = LWH
V = (4 ft)(2 ft)(3 ft) = 24 ft³
The volume of the fish tank is 24 cubic feet.
Use the laws of Sines and law of cosines to find missing dimensions
9514 1404 393
Answer:
11. inconsistent information
12. 26°
Step-by-step explanation:
11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)
__
12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.
b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871
b ≈ 29.513
Then angle C is found from the Law of Sines.
C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°
Angle C is about 26°.
The second attachment shows the output of a triangle solver.
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd
Answer:
34 yd²
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of outer rectangle = L*W = 13*6 = 78 yd²
Area of inner rectangle = L*W = 11*4 = 44 yd²
Area of the shaded region = 78 - 44 = 34 yd²
product is to multiplications as quotient is to
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
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PLZ ANSWER, 8 POINTS
A magician is filling his underwater escape tank with water. It is being filled by two water hoses. Hose 1 can fill the tank in 4 hours, while both hoses together can fill the tank in 2 hours. How long does it take to fill the underwater escape tank tank using only hose 2? type just the number no words
Answer:
4 hours
Step-by-step explanation:
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 23 feet less than the height of the pole. If the wire is to be 9 feet longer than the height of the pole, what is the height of the pole?
9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
how many five-miute segments are in 3\4 of an houre
i need help and fast is 23 points good
Answer: 9
Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5
sorry for the first one i read the question wrong
Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high. She is building with cubes that have side lengths of 12 meter. What is the volume of the box she needs to build in cubic meters?
9514 1404 393
Answer:
1344 cubic meters
Step-by-step explanation:
The volume is the product of the dimensions for a rectangular prism:
V = LWH
V = (4 m)(3 m)(112 m) = 1344 m³
Kate needs a volume of 1344 cubic meters.
What is the profit percent of a shopkeeper buys a footballer of $12 and sells it for $15
Answer:
25%
Explanation:
the profit made by the shopkeeper would be the difference between the selling price and cost price, which can be found using the equation $15 - $12 = $3.
now, we can find the profit percent using the difference ($3) and the cost price ($12):
$3 ÷ $12 × 100% = 25% (since $3 is 25% of $12, so the $3 increase in price is a 25% increase)
i hope this helps! :D
plsss help with this question pls with whole procedure pls help
i hope this helps.......
A square has an area of 100 square meters.
What is the perimeter of the square?
Answer:
40 square meters
Step-by-step explanation:
Perimeter means to add up all sides.
area means one side times one side
10 times 10 makes 100 so i am guessing each side is 10
10 + 10 + 10 + 10 = 40
First answer gets brainest. 8th grade math root question
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
For the function y = -1+6 cos (39(x-5) (x-5), what is the minimum value?
m = 0 , b = - 1+6cos (39)...
Figure A ~ Figure B
Figure A
R = 4 ft
Figure B
R = 2 ft
V = 352 cu ft
Find the volume of Figure B.
Help please!!
The volume of figure B that is similar to figure A is: 44 cu. ft.
How to Find the Volume of Similar Figures?If the volumes of two figures are A and B respectively, and their radius is a and b respectively, then, Volume of A/volume of B = a³/b³.
Given that figures A and B are similar, we would have the following ratio:
352/volume of B = 4³/2³
352/volume of B = 64/8
352/volume of B = 8
Volume of B = 352/8
Volume of B = 44 cu. ft.
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Taxi fare in Tampa cost a base fee of $4 plus an additional $0.85 for each mile traveled how much would a person pay to taxi fare in Tampa cost a base fee of $4 plus an additional $0.85 for each mile traveled how much would a person pay to take a taxi from work to home if the distance is 17 miles
Answer:
18.45
Step-by-step explanation:
Mr. Taylor arranges some chairs in rows. He puts the same number of chairs in each of the 7 rows and puts 7 chairs in the last row. He sets up 70 chairs. How many chairs does he pt in each of the 7 equal rows?
Choose the equation that can be used to solve the problem.
(7xc) +7=70
(70/7) +7=C
(7xc)-7=70
Answer:
The first one
Step-by-step explanation:
We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.
Hope this helps!
a water wheel has a radius of 15 feet. the wheel is rotating at 6 revolutions per minute. find the linear speed of the water. express your answer in terms of n and using units feet per second
Answer:
25.1333 per second
Step-by-step explanation:
1508 per min
Find the distance between the points (-4,-5) and (3, -1).
✓17
37
65
Answer:
3.16
Step-by-step explanation:
Given data
points (-4,-5) and (3, -1)
x1=-4
y1=-5
x2=3
y2=-2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((3-4)²+(-2-(-5))²)
d=√((-1)²+(-2+5)²)
d=√1+(3)²
d=√1+9
d=√10
d=3.16
Hence the distance is 3.16
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
Use context clues to choose the correct meaning of the italicized word.
Mother asked Mary Jo to care for the baby.
be worried about
pay attention
to take charge of
Answer:
A.
Step-by-step explanation:
Plzzzz answer fast......
Answer: (d)
Step-by-step explanation:
Given
XYZA is a rhombus and side XY is 8 units
We know, In a rhombus
All sides are equalsDiagonals bisect each other perpendicularlyUsing the above property, we can write
[tex]XY=ZA=8\ \text{units}[/tex]
Thus, option (d) is correct.
The following table shows the values of y for different values of x:
x y
0 0
1 0
2 4
Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
Answer:
I believe it is D
Step-by-step explanation:
Not 100% dont trust double check
