Answer:
226 grams
Step-by-step explanation:
The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.
As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,
Amount decayed = 1/2 * 904 grams
= 452 grams
Amount left = 904 grams - 452 grams
= 452 grams
After another 35 hours (now a total of 70 hours),
Amount decayed = 1/2 * 452 grams
= 226 grams
Amount left = 452 grams - 226 grams
= 226 grams
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
a. A = 71.6°; C = 52.89; b =12.0
C. A = 68.6° C = 45.40; b=12.0
b. A = 71.6°; C = 45.40; b =15.0
d. A = 68.6°; C = 52.89; b=15.0
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]
[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]
[tex]b \approx 15.022[/tex]
Angle A (Law of Cosine)
[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]
[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]
[tex]\cos A = 0.315[/tex]
[tex]A= \cos^{-1} 0.315[/tex]
[tex]A \approx 71.639^{\circ}[/tex]
Angle C (Sum of internal angles in triangles)
[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]
[tex]C = 45.361^{\circ}[/tex]
Hence, the right answer is B.
HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!
Answer:
I believe it’s 1/2
Step-by-step explanation:
Take a point on the graph and use rise over run method
Answer:
D. 5/8 poundsStep-by-step explanation:
You can find the slope by picking a point such as (8,5).
Slope = rise over run.
(8,5) is 8 units right and 5 units up, thus the slope is 5/8
Hope this helps.
Drag the tiles to the correct boxes to complete the pairs.
Match each quadratic equation with its roots.
Answer:
Step-by-step explanation:
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
hi what is the answer to c
Does 10 24 26 make a right triangle
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90
Plz can someone help
Answer:
the total number of students is 1240
Step-by-step explanation:
the difference between 11 and 9 is 2
124÷2=62
62×11=682
62×9=558
682+558=1240
pls give me brainliest!
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
i’ll give 17 points for this!
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114
Hope i was to explain this real good Hope this is rightBrainliest plzThis graph shows a proportional relationship. (2/3, 3/4)
What is the constant of proportionality?
Answer: Hi! I'd love to help you but I'd need to see the graph.
Step-by-step explanation: Can you add a picture?
THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.
approximate perimeter of STRIPE is 36.01
area of rectangle TOUR is 80
perimeter of of polygon CHOMP is 32.52
area of parallelogram YORK is 122
the area of trapezoid MASK is 34
The approximate perimeter of polygon CODIFY is 51.53
The area of triangle SOL is 52
The approximate perimeter of polygon DINGO is 34.44
the approximate perimeter of the isosceles triangle PAZ is 20.03
the area of triangle CAW is 10
The approximate perimeter of rectangle PEAR is 34.99
The area of trapezoid COWL is 45
The area of triangle TOP is 87/2 units
The approximate perimeter of triangle VEN is 29.80
The area of parallelogram TOWN is 40
the approximate perimeter of quadrilateral BOAT is 30.34
Omg! Thank you. I was stuck for like an hour till I found this.
Answer:
Omg, thank you so much
Step-by-step explanation:
What is 19 percent of 50
Answer:
What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
19% of 50
Convert the percentage to a decimal.
19% = 0.19
Multiply the decimal by the number.
50 × 0.19 = 9.5
9.5 is the answer.
If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:
0.76
0.61
0.65
0
Answer:
.76
Step-by-step explanation:
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
top side is 6 just couldn’t fit in picture
Answer: [tex]6<z<18[/tex]
Step-by-step explanation:
Use the pythagorean theorem to find z first.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
a = 12
b = 6
c = z
[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]
z is greater than a and b
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
The ordered pair below is a solution to which equation?
(5,40)
Answer:
y = 8x
Step-by-step explanation:
a y = 8x
40 = 8*5
40 = 40
This is a solution
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000
Answer: The answer is 10,000
Step-by-step explanation:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
(Your Welcome)
Answer:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
Determine the value of
X in the diagram below. Justify your reasoning.
Answer:
x = 70°
Step-by-step explanation:
Sum of external angles of polygon = 360
x + 150 + 140 = 360
x + 290 = 360
x = 360 - 290
x = 70°
please help me it is math
Answer:
C is face
B is edge
A is vertex (where 2 or more points meet)
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:
Answer:
A
Step-by-step explanation:
[tex](2^{-4}z^{-3})^{5}[/tex]
several ways to approach this.
use power rule. [tex](a^{m} )^{n} = a^{mn}[/tex]
[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]
[tex](2^{-20} z^{-15} )[/tex]
RULE: [tex]x^{-1} = \frac{1}{x}[/tex]
[tex]\frac{1}{(2^{20}z^{15}) }[/tex]
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?
A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph
Answer:
A
Step-by-step explanation:
For this Prism to be a right prism, all the lateral faces must be rectangles. Is enough infromation given to prove the lateral faces are rectangles? Why or why not?
Answer:
No, there isn't enough information to prove that the lateral faces are rectangles
Step-by-step explanation:
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)
Answer:
Cylinders, Prisms, Pyramids
Step-by-step explanation:
Hope this helps
Brainliest if correct pls
what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4
