Answer:
45- s= 21
s= 45- 21
=24
so the answer is 24
A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?
Answer:
The time required is 60.3 days.
Step-by-step explanation:
initial amount, No = 0.3 g
rate, r = 1.15 % per day = 0.0115 per day
final amount, N = 0.15 g
Let the time is t.
[tex]N = No e^{-rt}\\\\0.15 = 0.3 e^{-0.0115 t}\\\\0.5 =e^{-0.0115 t}\\\\- 0.6931 = - 0.0115 t \\\\t = 60.3 days[/tex]
What are the domain and range of the function represented by the table?
X
-1
-0.5
0
0.5
1
y
3
4
5
6
7
A. Domain: -1 sxs 1
Range: y2 3
B. Domain: -1sxs1
Range: 3, 4, 5, 6, 7}
C. Domain:{-1, -0.5, 0, 0.5, 1}
Range: {3, 4, 5, 6, 7}
D. Domain:{-1,-0.5, 0, 0.5, 1}
Range: y23
What is the length of CD? In this diagram, AABC ~ AEDC. 20-% c * 7 21
Answer:
[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]
[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]
[tex]\frac{20-x}{x} =3[/tex]
[tex]20-x=3x[/tex]
[tex]4x=20[/tex]
[tex]x=5[/tex]
[tex]So, CD=5[/tex]
OAmalOHopeO
A machining center is in charge of producing 225 parts per day. The parts width. Any parts produced between 250mm and 260mm are considered gless than 250mm must be reworked at an additional cost of $8 per part. 260mm must be reworked at an additional cost of $2.50 per part. The varquantified as a standard deviation of 5.0mm. Measurements on these parhave the ability to set up the machine to achieve whatever mean width value you wish.
Required:
Setup a data table to determine the mean width setting that will minimize expected rework cost ($8 per small part and $2.50 per large part).
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
(s + 1)3
Expand the expression as
(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵
… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵
Then taking the inverse transform, you get
LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]
… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]
… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]
… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴
The numbers of home runs that Barry Bonds hit in the first 18 years of his major league baseball career are listed below. Find the mean and median number of home runs. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data? Explain your reasoning.
16 25 24 19 33 25 34 46 37
33 42 40 37 34 49 73 46 45
Answer:
Mean = 35.56
Median = 35.5
Step-by-step explanation:
Given the data:
16 25 24 19 33 25 34 46 37
33 42 40 37 34 49 73 46 45
Reordered data :
16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73
The mean = ΣX / n
n = sample size ; ΣX = sum of values
The mean = 658 / 18
The mean = 36.56
The Median = 1/2(n+1)th term
1/2(18+1)th term = 1/2(19)th term = 9.5 term
Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5
An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 55% C: Scores below the top 45% and above the bottom 20% D: Scores below the top 80% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 78.8 and a standard deviation of 9.8. Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary.
Answer:
Scores between 71 and 80 give a C grade.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 78.8 and a standard deviation of 9.8.
This means that [tex]\mu = 78.8, \sigma = 9.8[/tex]
Find the numerical limits for a C grade.
Above the bottom 20%(20th percentile) and below the top 45%(below the 100 - 45 = 55th percentile).
20th percentile:
X when Z has a p-value of 0.2, so X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 78.8}{9.8}[/tex]
[tex]X - 78.8 = -0.84*9.8[/tex]
[tex]X = 70.57[/tex]
So it rounds to 71.
55th percentile:
X when Z has a p-value of 0.55, so X when Z = 0.125.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.125 = \frac{X - 78.8}{9.8}[/tex]
[tex]X - 78.8 = 0.125*9.8[/tex]
[tex]X = 80[/tex]
Scores between 71 and 80 give a C grade.
Which best describes the relationship between the line that passes through the points (6, –1) and (11, 2) and the line that passes through the points (5, –7) and (8, –2)?
A. same line
B. neither perpendicular nor parallel
C. perpendicular
D. parallel
Answer:
Step-by-step explanation:
slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5
slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3
product of the slopes = -1, so the lines are perpendicular.
Solve the system using substitution. x+y=-2 and x-y=-8
Answer:
1) x+y=-2
x=-2-y
2) x-y=-8
substitude value of x
(-2-y)-y=-8
-2-2y=-8
-2y=-6
y=3
Substitute value of y in 1
x=-2-3
x=-5
Brainliest please~
Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz. Her third quiz score is what percent higher than her first quiz score?
Answer:
30%
Step-by-step explanation:
you just add 10% and 20%
Hope it helps c:
Zelina scored 32% higher on the third quiz than on her first quiz.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
Given that:-
Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz.From the given data we will see that:-
1 ) Zelina scored 10% higher on her second quiz than on her first quiz.
SQ = 1.10 FQ
2 ) On her third quiz, Zelina scored 20% higher than on her second quiz
TQ = 1.20SQ
From the above to expression solve for the first quiz:-
TQ = 1.20 x 1.10 FQ
TQ = 1.32FQ
Therefore Zelina scored 32% higher on the third quiz than on her first quiz.
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What is 5x4 please help
Answer:
5 x 4 = 20.
Step-by-step explanation:
5 + 5 = 10
5 + 10 = 15
5 + 15 = 20!
Please mark brainliest!
- KanaKittyKat
Answer:
5 x 4 = 20
5 + 5 + 5 + 5 = 20
Couldn’t figure this out help please
(B)
Step-by-step explanation:
Rewrite the equations into their standard forms. The first one can be rewritten as
[tex]10x - 12y = -5[/tex]
and the 2nd can be rewritten as
[tex]3x + 5y = -1[/tex]
Solving this system either by substitution or elimination, we get
[tex]x = -\dfrac{37}{86}\:\:\text{and}\:\:y= \dfrac{25}{86}[/tex]
If you add x + y, you'll get a negative number.
9514 1404 393
Answer:
B. x + y < 0
Step-by-step explanation:
The two equations can be cleared of fractions by multiplying by 15.
15(2/3(x +1) -4/5y) = 15(1/3)
10(x +1) -12y = 5
10x -12y = -5
and
15(2/5x +1/3(2y +1)) = 15(1/5)
6x +5(2y +1) = 3
6x +10y = -2
3x +5y = -1 . . . . . eliminate common factor of 2
__
You can find the solutions any way you like, but you can answer the question without doing that. The lines are not parallel, nor coincident, so there is exactly one solution. (choices C and D are incorrect)
If we can locate the solution relative to the line x + y = 0, we can tell if choice A or choice B is correct. A quick look at the intercepts of the equations tells us the solution cannot lie in quadrants 1 or 4. The negative y-intercept and shallow slope (-3/5) of the second equation tells us the solution must lie below the line x + y = 0. That means x+y < 0, choice B.
_____
In the attached graph, the line x+y=0 is dashed orange. Above that line, x+y>0; below that line, x+y<0. We see the intersection point of the red and blue lines is in the region where x+y < 0.
For standard form equation ax+by = c, the x- and y-intercepts are c/a and c/b, respectively, so are easy to find from that form. Knowing these makes it easy to make a sketch of the graph, locating the solution point relative to the line x+y = 0.
9 3/5 % as a decimal, rounded to 3 decimal places, is:
There is a rack of 15 billiard balls. Balls numbered 1 through 8 are solid-colored. Balsa numbered 9 through 15 contain stripes. If one ball is selected at random, determine the odds for it being striped.
If one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.
What do we know?
We know that there are 15 billiard balls.
We also know that balls numbered 1 through 8 are solid-colored, so we have 8 solid-colored balls.
And the other 7 balls are striped.
Now we want to find the probability for a randomly selected ball to be a striped ball.
Because all the balls have the same probability of being randomly selected, the probability of randomly selecting a striped ball is equal to the quotient between the number of striped balls (7) and the total number of balls (15).
Then we have:
P = 7/15 = 0.467
That quotient is also what is called the "odds"
So if one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.
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Donald has x twenty dollar bills and 1 yen dollar bill. How much money does Donald have?
Write your answer as an expression
The graph of a quadratic function has x-intercepts of -7 and -1, and passes through the point (-4,36). Determine the equation of the quadratic function in the form
f(x) = a(x - m)(x − n).
9514 1404 393
Answer:
f(x) = -4(x +7)(x +1)
Step-by-step explanation:
The x-intercepts tell us that m=-7 and n=-1. We can use the given point to find 'a'.
f(-4) = 36
a(-4+7)(-4+1) = 36
a = 36/-9 = -4 . . . . divide by the coefficient of 'a'
Filling in the known values, ...
f(x) = -4(x +7)(x +1)
Let log base aU=X and log base aV=Y, then a to the x power =? and a to y power =?
Answer:
[tex]{ \bf{ log_{a}(U) = x}} \\ { \boxed{ \tt{ {a}^{x} = U}}} \\ \\ { \bf{ log_{a}(V) = y}} \\ { \boxed{ \tt{ {a}^{y} = V }}}[/tex]
What are the Values for x,y,z?
Answer:
it can be any number1234567890
Translate the following sentence into an algebraic inequality:
The difference of twice a number, x, and eleven is, at most, the sum of twenty and a number, x.
Question 4 options:
A)
2x∕11 ≥ 20 – x
B)
9x ≥ 20 + x
C)
2x + 11 ≥ 20x
D)
2x – 11 ≤ 20 + x
Answer:
it have to be letter c
Step-by-step explanation:
this the only problem matches with the question
The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, the difference of twice a number, x, and eleven is, at most, the sum of twenty and a number, x.
The difference of twice a number, x, and eleven is
2x-11
The sum of twenty and a number, x
20+x
So, inequality is 2x-11≤20+x
The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.
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A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 14 H1: μ > 14
Required:
a. Compute the value of the test statistic.
b. What is the p-value?
Answer:
1.944 ;
0.026
Step-by-step explanation:
Given :
Sample size, n = 34
Sample mean, xbar = 15
Population standard deviation, σ = 3
The hypothesis :
H0: μ ≤ 14
H1: μ > 14
The test statistic :
Test statistic = (xbar - μ) ÷ (σ/√(n))
Test statistic = (15 - 14) ÷ (3/√(34))
Test statistic = 1 / 0.5144957
Test statistic, Z = 1.944
The Pvalue :
Using the Pvalue from test statistic value :
Pvalue(1.944) = 0.026
Pvalue < α ; Reject H0
When a closed curve is parameterized by {x[t], y[t]}, then as you advance along the curve in the direction of the parameterization, which way do the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point; in the direction you are going, or in the direction opposite to the direction you are going?
Answer:
In the direction you are going,
Explanation:
We know that the tangent to {x[t], y[t]} are {x'[t], y'[t]}. Since {x'[t], y'[t]} are tangents at {x[t], y[t]}, we know that the tangent at a point is always parallel to the direction of the function at that point and in the direction of the function. So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in my direction of motion as I move along the curve.
So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in the direction you are going.
An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
37.8+52.2=90
Step-by-step explanation: x + (x + 14.4) = 90
2x + 14.4 = 90
2x = 75.6
x = 37.8 (one angle)
And (x + 14.4) = 52.2 (other angle).
If a number is divisible by 6 and 8 then is it also divisible by 48?
Answer:
No
Step-by-step explanation:
Let's look at an example
24
24 is divisible by 6 24/6 = 4
24 is divisible by 8 24/8 = 3
24 is not divisible by 48 24/48 = 1/2 which is not an integer
The lengths of the three sides of a triangle are 17, 18, and 19. Classify it as acute, obtuse, or right.
Answer:
acute
Step-by-step explanation:
That triangle is an obtuse triangle
The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 36 cm, find its area.
Answer:
80 cm^2
Step-by-step explanation:
Let the width of the rectangle equal x. This means the length is x + 2, as it is 2 cm longer than the width. The formula for perimeter is: P = 2l + 2w, and substitute in the values of the length, width, and perimeter:
P = 2l + 2w
36 = 2(x + 2) + 2(x)
36 = 2x + 4 + 2x
36 = 4x + 4
4x = 32
x = 8
x represents the width, so the width is 8 and the length is 10. Area is length times width, so the area is 8 x 10 or 80 cm^2.
Step-by-step explanation:
let x be the width
p=2l+2w
36=2(2)+2(x)
36=4+2x
36-4=2x
32/2=2x/2(simplify)
x=16
therefore the width is 16cm
area of the rectangle is l×w
=2×16
=32cm"
therefore the area is 32cm"
Question 1 of 10
If f(x)= 2 -3 and g(x) = 4x2 + x - 4, find (f+ g)(x).
O A. 4x+x-7
O B. 4x2 +5x-1
O c. 6x2 - 7
OD 6+x-1
A
SUBMIT
Answer:
I believe it's A
Step-by-step explanation:
I'm not sure sorry if its wrong
Graph the line with slope
3/4
passing through the point (-1, 4).
Answer:
y=3/4x+19/4
Step-by-step explanation:
y=mx+c
4=3/4*-(1)+c
4=-3/4+c
c=4+3/4
c=19/4
y=3/4x+19/4
Need help ASAP
In the figure, if the measure of ∠8 = 72o, what's the measure of ∠14?
Four Bisecting Lines
Question 3 options:
108°
72°
98°
62°
Answer:
72°
Step-by-step explanation:
[tex] m\angle \: 6 = m \angle \: 8 \\ (corresponding \: \angle s) \\ m\angle \: 8 = 72 \degree \\ \therefore \: m\angle \: 6 = 72 \degree \\ \\ m\angle \: 14 = m \angle \: 6 \\ (corresponding \: \angle s) \\\therefore \: m\angle \: 14 = 72 \degree [/tex]
I don’t know the answer!!
I’m new to this app and I need help if you know the answer please tell me I don’t know English very good please help me.
Answer:
A. 2.04 seconds
B. 5.92
C: 1.48 - 0.4 = 1.08 seconds
Step-by-step explanation:
~~~~~~~~~~~~~~~~~~~~~
USE THIS TO GET "B"
the f(-b/2a) is the highest point,
the vertex of the parabola [-b/2a, f(-b/2a)] will give you the time
and height of the highest point
~~~~~~~~~~~~~~~~~~~
USE THIS TO GET "A"... you will get two answers one will be negative
ignore that one , the positive one is the time to hit the ground
if you factor the equation (use the quadratic formula) you will get
the "zeros" that is where the ball is on the ground...
~~~~~~~~~~~~~~~~~~~~~~~
THIS IS FOR PART "C"
if you set the equation equal to 4.5 meters and factor that for the "zeros" you will get the two times that the ball is at that height.. subtract the two times for the duration
find the lateral surface area of this cylinder. round to the nearest tenth. r=5cm 5cm LSA (in the image)
Answer:
157 cm²
Step-by-step explanation:
A cylinder is given to us and we need to find out the lateral surface area of the cylinder . We can see that the ,
Height = 5cm
Radius = 5cm
We know that we can find the lateral surface area of the cylinder as ,
[tex]\rm\implies LSA_{cylinder}= 2\pi r h [/tex]
Substitute upon the respective values ,
[tex]\rm\implies LSA = 2 \times 3.14 \times 5cm \times 5cm [/tex]
Multiply the numbers ,
[tex]\rm\implies \boxed{\blue{\rm LSA = 157 \ cm^2 }}[/tex]
Hence the Lateral surface area of the cylinder is 157 cm² .
[tex] \setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5cm}}\put(9,17.5){\sf{5cm}}\end{picture}[/tex]
Answer:
314.2 is the Surface area
Step-by-step explanation:
Hope it Helps! If you have any questions, feel free to comment! :)
2π(5)(5)+2π(5^2)
2π(25)+2[tex]\pi[/tex](25)
50π+50π=100π
314.2 is the answer. That's what we get after rounding up! :)
