Answer:
x = -48
Step-by-step explanation:
-4(7.5x - 8) = -5(6.3x + 8)
-30x + 32 = -31.5x - 40
-30x + 31.5x = -40 - 32
1.5x = -72
x = -72/(1.5)
x = -48
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7
Answer:
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Step-by-step explanation:
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Name all the quadrilaterals that have the given attributes
four congruent sides
Answer: A Rhombus has 4 congruent sides .
Nancy is going to do some painting in her room. The paint she is using costs $12.34 per gallon. It measures 11 feet by 13 feet and has an 8-foot tall ceiling. What is the total area she will paint
Answer: [tex]527\ ft^2[/tex]
Step-by-step explanation:
Given
Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]
Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]
There are five side of wall to be painted leaving only the floor
Area is given by
[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]
78215431 in international system
78215431 in indian system
International - seven eight million two hundred fifteen thousand four hundred thirty one
Indian - seven crore eighty two lack fifteen thousand four hundred thirty one
78'215'431
7'82'15'431
Need Help ASAP Hurry
Answer:
Step-by-step explanation:
1) Impossible, a six sided die can't have 8 if it's six sided
2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible
3) Likely, there are more birds than other animals
4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws
if there are 24 tires, how many cars are there?
Answer:
each car have 4 tires, so 24/4=6
there are 6 cars
What is another name for 22?
You can rule out both EGF and GEF because they are representing another segment of the graph.
The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.
I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.
The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters?
please help
Answer:
4 hours
Step-by-step explanation:
You divide 12 by 3 and the answer is 4.
hope this helped
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505 cups of sugar. How many batches of cookies can I make?
Answer:
about 22 batches
Step-by-step explanation:
5.505 divided by .25
Answer:
4.6
Step-by-step explanation:
0.25+5.505=4.6 so that is the answer if you dont get it right me get it right because i just get ir on my test
Please help. How do you find cosine, sine, cosecant and secant with this triangle?
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangentBack to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
Trigonometric RatioAdjacent = 12Opposite = 10Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
a²+b² = c²Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
10²+12² = c²100+144 = c²244 = c²Thus, the hypotenuse is:
[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]
Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
Simplify expression and can you explain how
Answer: 64r^36
Step-by-step explanation:
On picture below
I need an Answer Immediately pls!!!!!!!!!
Answer:
2,033-993.50= 1039.50/74.25= 14
Step-by-step explanation:
not sure the exact equation but p would be 14 and you'd do something similar to that shown above
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3
Answer:
A. [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-2\frac{1}{3} +5[/tex]
Mhanifa please help! This is late and I need to get it done ASAP or I will fail
Answer:
Use the ratio of corresponding sides of similar triangles.
#1
50 / x = x / 25x² = 50*25x = 25√2#2
63 / x = x / (112 - 63)x² = 63*49x = 21√7#3
100 / x = x / 8x² = 100*8x = 20√2#4
x / 18 = 18 / 16x = 18*9/8x = 81/4Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
what is the range if the domain is???
MORE MATH GENIUSES!!!!!!!!!!!!!!
Answer:
The friend caught the ball at 2 feet.
Step-by-step explanation:
1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.
2. False; the x-component of the vertex is 0.5
3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.
4. False; when x = 0, y = 2.
An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides?
Answer:
22.07 ft & 9.32 ft
Step-by-step explanation:
by sines rule :
20/sin 65° = r/sin 90° = y/sin 25°
r = 20×sin 90°/sin 65° = 20/0.9063
= 22.07 ft
y = 20×sin 25°/sin 65° =
20× 0.4226/0.9063
= 9.32 ft
Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.
what time did ted get to the dog park?
Answer:
8:30 am
Step-by-step explanation:
Answer:
8:30 a.m
Step-by-step explanation:
8:00
+ 30
_____
8:30 a.m
help!! don’t know how to do it
Answer:
cot(x) + sec(x)
Step-by-step explanation:
[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]
Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).
What is the value of x? Show your work.
Please help
Answer:
b=5√3
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]
12 18 , 9 6, 2 ?
help plz i cant find the relationship
Answer:
12,18 6 inbetween
Step-by-step explanation:
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Multiply 81.5 and 3.5
Answer:
285.25
Step-by-step explanation:
Basically we multiply them as normal numbers so,
815*35 = 28525
Then we take the amount of spots each number had to the RIGHT of the decimal point
81.5 = 1
3.5 = 1
1+1= 2
So: 28525. move to the left 2 times to get 285.25
What slope does a horizontal line have? Use a number to fill in the blank
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Step-by-step explanation:
y = x + 2
X. Y
3. 5
4. 6
5. 7
6. 8
Based on this table, the graph that best represents the table is the one on the right.
how is the graph of y=8x^2-1 different from the graph y=8x^2
Answer:
The y-int is different -1 is the y-int.
Step-by-step explanation:
What is the answer to the photo down below
Answer:it's A
Step-by-step explanation: