An element with a mass of 230 grams decays by 14.5% per minute. To the nearest
tenth of a minute, how long will it be until there are 60 grams of the element
remaining?
Answers
An element with a mass of 230 grams decays by 14.5% per minute. To the nearest
tenth of a minute, long will it be until there are 60 grams of the element
remaining x=8.6
x=8.6
Based on the given conditions, formulate : \($230 \cdot(1-14.5 \%)^2=60$\)
Calculate the sum or difference: \($230 \times 0.855^x=60$\)
Divide both sides of the equation by the coefficient of variable: \($0.855^x=\frac{60}{230}$\)
Reduce the fraction: \($0.855^x=\frac{6}{23}$\)
Convert exponential to logarithm form: \($x=\log _{0.855} \frac{6}{23}$\)
Calculate\(: $x=\log _{\frac{171}{200}} \frac{6}{23}$\)
Round \($x=\log _{\frac{171}{200}} \frac{6}{23}$\)g: \($x=8.6$\)
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Related Questions
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
The height of an arch x meters to the right of the center is 1/10(x^2-36). What is the height of 3 meters to the left of the center when x=-3
Answers
The height of 3 meter to the left of the center of arch is -2.7 meters which is found by the evaluation of the given equation when x = -3.
We can solve it through
The Height at x = -3 meters on the left of the center = \((1/10)(-3^2 - 36) [by Substituting x = -3]= (1/10)(9 - 36)= (1/10)(-27)= -2.7 meters\)
At the end height of the arch at 3 meters to the left of the center when x = -3 is -2.7 meters. This negative value means the point is actually below the ground level at that position. So the height is -2.7 meters where - insists negative value.
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Ethel is 4 years younger than Nature if three times nature's age equals four (4) times Ethel Find 1) Ether's age 2) Natures age
Answers
The ages of Ethel and Natures are 12 and 16 years respectively.
How to find ages?Ethel is 4 years younger than Nature. Therefore, let x equals to the age of Ethel.
Hence,
Nature age = x + 4
Three times Nature's age equals four (4) times Ethel age.
Therefore,
3(x + 4) = 4(x)
Therefore, let's find Ethel and Natures ages as follows:
3(x + 4) = 4(x)
3x + 12 = 4x
12 = 4x - 3x
x = 12
Therefore,
Ethel age = 12 years
Natures age = 12 + 4 = 16 years
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Which statement about the amount of paint found by
Sheila is true?
A piece of solid, spherical glass has a circumference of
37.68 cm. The sphere is cut in half, creating two
identical hemispheres. Using 3.14 for 7, Sheila
computes the amount of paint needed to cover the
hemishpheres.
O Sheila found the minimum amount of paint needed
to cover the curved surface of one of the
hemispheres.
C = 2 mm
37.68
O Sheila found the minimum amount of paint needed
to cover the bases of both hemispheres.
2(3.14)r
r = 6 cm
O
Sheila found the minimum amount of paint needed
to cover both hemispheres.
O Sheila found the minimum amount of paint needed
SA = (4 m²) + m²
to cover the entire surface of one of the
hemispheres.
SA ==
2 m(6)² + (6)²
SA 72(3.14) + 36(3.14)
Answers
So
TSA of one hemisphere
2πr²+πr²6.28(6)²+3.14(6)²36(6.28)+36(3.14)36(6.28+3.14)36(9.42)339.12cm³For 2 hemisphere
TSA=2(339.12)=678.24cm³What is the correct classification for each given angle? Drag and drop the answer into the box to match each angle. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠RQU ∠SQU ∠RQT Ray R Q and Ray Q T are connected at point Q 90 degrees apart from each other. Line VQS extends diagonally down to the up right at point Q and forms an interior angle labeled as 19 degrees and 71 degrees. Ray QU extends down to the right of the QT and forms an interior angle labeled as 18 degrees.
Answers
∠RQU is an obtuse angle.
∠SQU is an acute angle.
∠RQT is an right angle.
How to Classify Angles?A right angle equals 90 degrees.An acute angle is less than 90 degrees.An obtuse angle is less than 180 degrees but greater than 90 degrees.A straight angle equals 180 degrees.m∠RQU = 19 + 71 + 18 = 108°.
Therefore, ∠RQU is an obtuse angle.
m∠SQU = 71 + 18 = 89°
Therefore, ∠SQU is an acute angle.
m∠RQT = 71 + 19 = 90°
Therefore, ∠RQT is an right angle.
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Which of the following equations represent relationships where y is a linear function of x? SELECT ALL THAT APPLY A)2x + 3y = 6B)Y = 5C)X = 1D)y = 10 - xE)y = x^2 + 5x + 6F)y = -x
Answers
D) and F)
Explanation
Step 1
a linear function has 1 as the exponent of the variable, so we can discand option E)
Step 2
y is a function of x, it means that y depends on x ,
then, the equations that fit this
\(\begin{gathered} f(x)=y \\ y=f(x) \\ D)\text{ y=10-x} \\ F)y=-x \end{gathered}\)D) and F), because B and C does not depend on x
I hope this helps you
Pls help me !!!!!!!!!
Answers
Answer:
Option 1. The mean Arm Span for class A is much lower than Class B's.
Step-by-step explanation:
I hope you will be able to understand from this pic. Actually It's called Stem and Leaf Display.
Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answers
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
Write the function f(x) = 6x + 5 in terms of z by substituting z for x in the function
Answers
Answer:
f(x)=6x+5
You must do this step because the work is asking for it
z=6x+5
Than you change x and z to find z or the inverse of that function
x=6z+5
Subtract-5 both sides
x-5=6z
Divide both sides with 6
(x-5)/6=(6z)/6
Now you simplify
z=(x-5)/6
Done ✅
Step-by-step explanation:
Answer:
f(x) = 6x + 5. To write f(x) in terms of z, substitute the value of x with z:
f(z) = 6z + 5.
Step-by-step explanation:
Find the amplitude and period of ft=-tan0.4t
Answers
For function f(t)=-tan(0.4t) , there is no amplitude for tan function and period is equal to 5π/2.
As given in the question,
Given function:
f(t)=-tan(0.4t)
Standard equation for tan function:
f(x) =a tan(bx)
Compare both given and standard equation of a function,
a =-1
b =0.4
=4/10
=2/5
Period of a tangent function, y=a tan(bx),is the distance between any two consecutive vertical asymptotes.
Period of the given function =π/b
=π/(2/5)
=5π/2
Amplitude:
Tangent function have no amplitude as it has no maximum or minimum value.
It tends to ∞ to both the side of y -axis.
Therefore, for function f(t)=-tan(0.4t) , there is no amplitude for tan function and period is equal to 5π/2.
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suppose that the time required to complete a 1040r tax form is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. what proportion of 1040r tax forms will be completed in less than 77 minutes? round your answer to at least four decimal places.
Answers
The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301
How to find the proportion of the tax forms?
The time required to complete a 1040r tax form = normally distributed
Mean = \(\mu\) = 100 minutes
Standard deviation = \(\sigma\) = 15 minutes
The proportion of 1040r tax forms completed in less than 77 minutes is given by ,
P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\) )
= P( Z < - 1.53 )
=0.06301
Cumulative probability in the normal distribution =0.06301 or 6.301%
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.The natural and social sciences frequently utilize normal distributions to describe real-valued random variables whose distributions are unknown, which is why normal distributions are essential in statistics. Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the normal distribution.A bell curve is another name for a normal distribution.To learn more about normal distribution, refer:
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Evaluate the given expression for x=5
Answers
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Answers
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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Given the points M (-10, 12) and T(6,8), find the coordinates of the point Q on a directed line segment MT that partitions MT in the ration 2:3.
Answers
Answer:
\(Q(x,y) = (\frac{-18}{5},\frac{52}{5})\)
Step-by-step explanation:
Given
\(M = (-10,12)\)
\(T = (6,8)\)
\(Ratio = 2:3\)
Required
Determine the coordinate of Q
The question will be answered using the following line ratio formula
\(Q(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\)
Where
\(m:n = 2:3\)
\((x_1,y_1) = (-10,12)\)
\((x_2,y_2) = (6,8)\)
\(Q(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\) becomes
\(Q(x,y) = (\frac{2 * 6 + 3 * -10}{2+3},\frac{2 * 8 + 3 * 12}{2+3})\)
\(Q(x,y) = (\frac{12 - 30}{5},\frac{16+36}{5})\)
\(Q(x,y) = (\frac{-18}{5},\frac{52}{5})\)
Hence,, the coordinates of Q is
\(Q(x,y) = (\frac{-18}{5},\frac{52}{5})\)
Is x=y -1 a function?
Answers
Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.
Answers
Answer: \(\frac{3}{4}\)c
Step-by-step explanation:
If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):
3/4c
- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.
- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.
Solving the Question:The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:
\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)
Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.
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https://brainly.com/question/13667588How do you look for a correlation using data points?
Answers
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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Find the number of distinguishable arrangements of the letters of the word SEPTILLION
Answers
Answer:
10!
Step-by-step explanation:
Septillion-10 letters
1-s-10 places to be in
2-e-9
3-p-8
4-t-7
5-i-6
6-l-5
7-l-4
8-i-3
9-o-2
10-n-1
So, then
10×9×8×7×6×5×4×3×2×1=10!
or 3628800
The arrangement of the number will be equal to 3628800.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
The given word is SEPTILLION. The word has 10 characters. The different ways of the arrangement will be calculated as,
Arrangement = 10!
Arrangement = 10×9×8×7×6×5×4×3×2×1
Arrangement = 3628800
Therefore, the arrangement of the number will be equal to 3628800.
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Please help me quick
Answers
Answer:
I belive it has no x intercepts
it looks weird, but it can be a function. the x-intercept and the y-intercept can also be found in the table above.
to draw a line that can represent a function with these point, we would need to cross y=0 multiple times, so it will have more then one x-intercept.
option A
key takeaway: just draw stuff you find complicated:)
Tyler swam 72.8 miles in 14 weeks. How far did Tyler swim each week? (I think it's 5.2)
Answers
Assuming he swam an equal distance each week, we can divide the total by the amount of weeks to find his weekly average.
72.8 / 14 = 5.2 miles.
You are correct! Also, remember to include units in your final answers.
Need Help ASAP. Thank you :)
Answers
The value of x, considering the consecutive interior angles in this problem, is given as follows:
x = 30.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
3x - 8 + 4x - 22 = 180
7x - 30 = 180
7x = 210
x = 210/7
x = 30.
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You have only one question today How tall was the statue of Hercules if the first and second knuckle of his index finger
Answers
Answer:
Thanks!
Step-by-step explanation:
Answer:
The thumb digit has only two phalanges (bones) so it only has one joint. The index finger is more likely to develop arthritis from the pinch force that.The PIP joint is the first joint of the finger and is located between the first two bones of the finger
Step-by-step explanation:
Out of 250 racers who started the marathon, 217 completed the race, 24 gave up, and 9 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.
Answers
Answer:
209 out of 230 completed that is 209/230 x 100% = 90.869 % the rest did NOT complete 100% - 90.8% = 9.13 %
Isaac is on the swim team, and he is training for an upcoming race. He swims across a 50-meter pool in 3/5 of a minute. At this rate, how far can Isaac swim per minute?
Answers
Answer:
83.3...
Step-by-step explanation:
50x5/5=250/3
x=83.3
Isaac can swim 83.3 per minute.
It is required to find how far Isaac swim per minute.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Isaac swims across a 50-meter pool in 3/5 of a minute.
According to question we have
50-meter = 3/5 of a minute
50x5/3meter= 1 minute
=250/3 meter/minute
=83.3meter/minute
Therefore, Isaac can swim 83.3 per minute.
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Factor the expression. 35g2 - 2gh - 24h2
Answers
Answer:(7g-6h)(5g+4h)
Step-by-step explanation:
35g^2-2gh-24h^2
35g^2+28gh-30gh-24h^2
7g(5g+4h)-6h(5g+4h)
(7g-6h)(5g+4h)
Plz help me, whoever gets it gets brainlyist. ALSO ALOT OF POINTS!!!
Answers
Answer:
8.6
Step-by-step explanation:
radius = diameter/2 = 10/2 cm = 5 cm
V = (1/3)πr²h
225 cm³ = (1/3)π(5 cm)²h
h = 27/π cm
h = 8.6 cm
Answer:
Your answer is 22.5 or 22
Step-by-step explanation:
divide 10 by 225 to get your height.
Solve for r 7 = 0.2(r + 3) - -5
Answers
Answer:
57 for the way you wrote it. -10 if you write it backwards.
Step-by-step explanation:
can someone please help?? (assume that no variable equals 0)
Answers
Answer: 27x^6/16
Step-by-step explanation:
1. Find the slope and the y-intercept of each equation.
a. y = 2x - 6
m=
b=
Answers
The equation y = 2x - 6 is a line in the form known as Slope-Intercept Form. This form organizes the equation so that you can easily discern the y-intercept and slope.
Slope-intercept form is y = mx + b. So here, m = 2, b = -6.
cos xº [Hint: Change degree into radian] find the derivative from definition
Answers
The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)
Finding the derivative of the functionFrom the question, we have the following function definition that can be used in our computation:
cos(xº)
Changing the degree into radian, we have
cos(xπ/180)
Express as a function
So, we have
y = cos(xπ/180)
When the cosine function is differentiated, we have
y' = -sin(xπ/180)
Hence, the differentiated function is y' = -sin(xπ/180)
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