A certain radioactive element has a half-life of 35 days. If you had 100 grams of this element, the mass m of the element after t 35-day intervals is represented by m=100(0.5)^t. Find the approximate daily decay rate of this element.
A. 1.4%
B. 98.0%
C. 17.5%
D. 2.0%
Answer:
2%
Step-by-step explanation:
m = 100(.5)^(1/35) = 98 so 2 % is gone after 1 day
5y-2x=-3/-4y+x=12 Can someone help me with this system of equation.
[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]
anyone knows the answer?!
Answer:
Domain: All real numbers
Range: y≤5
Step-by-step explanation:
Domain: All real numbers (it can be all x values)
Range: y≤5 (the y values can be 5 or less.)
A circle has a circumference of 33 inches. What is
the area of the circle?
Answer: Circle
Solve for area
A≈86.66in²
C Circumference
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=332
4·π≈86.65987in²
Step-by-step explanation:
Complete the factorization of 3x2 – 10x 8. 3x2 – 10x 8 = (x – )( x – 4)
The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).
How to Factorize an Expression?Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:
Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.
3x² - 6x - 4x + 8
(3x² - 6x) - (4x + 8)
3x(x - 2) - 4(x - 2)
(x - 2)(3x - 4)
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Answer:
2 and 3
Step-by-step explanation:
A
D
B
С
E
F
Are the two triangles similar is so what is the identity that proves it?
Nathaniel has a toy car collection of 480 toy cars. He keeps 216 of the toy cars on his wall. What percentage of Nathaniel's toy car collection does he keep on his wall?
Answer:
45%
Step-by-step explanation:
216/480
216 ÷ 480
= 0.45
0.45 × 100
= 45%
Which is the correct answer?
Answer:
Kings and hearts
Step-by-step explanation:
Two events are said to be mutually exclusive if they cannot occur at the same time:
Tossing a coin is not mutually exclusive because you need two events for mutual exclusion to occurChoosing a random card is not mutually exclusive you need two events for mutual exclusion to occurTurning left and turning right are mutually exclusive because you cannot do both actions at the same timeKings and hearts are not mutually exclusive because it is possible to select a King of hearts with one card.pls answer this question
The number of zeros of the given Polynomial which are α, β and γ are; A:3
How to find the zeros of a Polynomial?We are given the Polynomial;
x³ - 8x² + 4x - 4 = 0
From online polynomial root calculator, to roots of the Polynomial are;
7.54, 0.23, 0.23.
α = 7.54
β = 0.23
γ = 0.23
Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.
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How do you find the area of a 2x-3 square
How many inches/second are in
1.73 meters/minute?
Answer:
Step-by-step explanation:
103.8 seconds
68.11024 inches
Find the radius of a circle in which the central angle, o, intercepts an arc of the given length s.
a= 90° s = 57m. Round final answer to nearest tenth.
Help is much appreciated :)
Answer:
Your answer is B
y < x
y ≥ -x
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test.
Answer:
B is correct because I too took the test.
6.14 Checkpoint: Systems of Linear Inequalities
Step-by-step explanation:
You're welcome.
best answer gets brainly ^^
Answer:
(6, 5)
Step-by-step explanation:
Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.
Answer:
the answer would be (6,5)
Rewrite in simplest radical form 1 over the quantity x to the negative three sixths end quantity. show each step of your process.
Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].
What is the Property of Exponents?The property of exponents that can be used to solve this problem are:
[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]
Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:
[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]
Reduce the fraction
[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]
Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]
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f(x)= 5^x reflection in the y-axis followed by a translation 2 units up
A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,
f(x) = 5ˣ
f(x) = 5ˣ + 2
Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
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[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
whαt'ѕ thє vαluє σf х ~
[tex] \\ \\ \\ \\ \\ \\ [/tex]
[tex] \qquad \qquad \sf5 x = 95[/tex]
Answer:
......
Step-by-step explanation:
[tex] 5x = 95[/tex]
Divide both sides by 5:-[tex] \displaystyle{ \frac{5x}{5} = \frac{95}{5} }[/tex]
[tex]x = 19[/tex]
Answer:
19
__________________________________________________________
Divide 95 by 5
[tex]\frac{95}{5} = 19[/tex]
Now we know that x is 19, solve the whole problem optionally.
[tex]5 * 19 = 95[/tex]
__________________________________________________________
please help guys anything will be helpful
[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]
Tuesday.
Callie and her 4 friends have
20 bracelets they want to share
equally. How many bracelets
will each girl get?
Answer:
4
Step-by-step explanation:
callie and her 4 friends so you have to include callie which makes 5 people. 20/5 is 4 :)
Answer:
5 Each
Step-by-step explanation
There are 4 girls and they want to share so break the 20 in 5 4 times then u get 20 bck
Expanded form for 0.817
Answer:
Your number written in expanded form is:
0.8
+ 0.01
+ 0.007
Answer:
0.8
+ 0.01
+ 0.007
Step-by-step explanation:
I think
BRAINLIEST!!! no links, they'll be reported
A signal from a satellite in space travels to the surface of the Earth at the speed of light. The distance between the satellite and the surface of the Earth is 30,425 kilometers. How long does it take for the signal to reach the surface of the Earth, to the nearest thousandth of a second? (Note: Use 3.0 x 10 meters/second for the speed of light. 1 kilometer = 1,000 meters)
Answer:
0.101
Step-by-step explanation:
[tex]speed = \frac{distance}{time} [/tex]
We have speed, and we have distance. So let's rearrange to get time:
[tex]time = \frac{distance}{speed} [/tex]
Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):
[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]
Which leaves us with:
[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]
This is easy I think pls help
solve the equation:-
[tex] - 7n + m[/tex]
[tex] m = - 1.2 \\ n = - 4.8[/tex]
Putting the value:-
[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]
Which number sequence follows the rule add 4 starting from 2?
Question 2,4,6 I don’t understand the question
Step-by-step explanation:
2.
an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.
rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.
so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.
4.
(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).
6.
(x, y) -> (x+7, y-2) -> (x-3, y+2)
this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.
in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).
please help and explain
Answer:
Step-by-step explanation:
Remark
These two angles are related by the supplement of corresponding angles. So they add to 180.
Equation
<1 + <2 = 180
2x + 4 + 8x - 14 = 180
Givens
<1 = 2x + 4
<2 = 8x - 14
Solution
<1 + <2 = 180 Substitute the givens into this equation
2x + 4 + 8x - 14 = 180 Combine like terms
2x + 8x + 4 - 14 = 180
10x - 10 = 180 Add 10 to both sides
10x-10+10 = 180+10 Combine
10x = 190 Divide by 10
10x/10 = 190/10
x = 19
Answer: x = 19
what is greater 42.9 or 42.900 ANSWER PLSSSS
11 Dani wants to buy cookies for her friend. The radius of a cookle is 5 Inches. What is the cookie's circumference? Round to the nearest tenth
Answer:
Around 31.4
Step-by-step explanation:
The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4
In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there?
Answer:
there are 144 students in total
Find the Total Surface area of this triangular prism?
Answer:
Im pretty sure its 144 cm
Step-by-step explanation: