Answer:
The substance's half-life is 6.1 days.
Step-by-step explanation:
The half-life of the substance can be calculated by knowing the constant decay:
[tex] t_{1/2} = \frac{ln(2)}{k} [/tex]
k: is the decay constant = 0.1133 d⁻¹
Hence, the half-life is:
[tex] t_{1/2} = \frac{ln(2)}{k} = \frac{ln(2)}{0.1133 d^{-1}} = 6.1 d [/tex]
Therefore, the substance's half-life is 6.1 days.
I hope it helps you!
Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...
n=20
Answer:
142
Step-by-step explanation:
hope this help love y all!
Becicy is renting a car for her vacation. The rental costs 5350 per week plus 20 cents per mile. If Becky can spend no more than $500,
how far can she travel
Answer:
750 miles
Step-by-step explanation:
Given that,
The rental costs 350 per week plus 20 cents per mile.
Becky can spend no more than $500.
Let he travel x miles. We can form an equation as follows :
350 + 0.2x = 500
0.2x = 500-350
0.2x = 150
x = 750 miles
Hence, she can travel 750 miles.
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
O: The height of the water increases 2 inches per minute.
O: The height of the water decreases 2 inches per minute.
O: The height of the water was 2 inches before any water was added.
O: The height of the water will be 2 inches when the pool is filled
Answer:
answer is a
the height of the water increases 2 inches per minute
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
Which choice is equivalent to the product below for acceptable values of x?
Answer:
the answer to the question is c
The equivalent expression to the equation is A = √ ( x² - 9 )
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = √ ( x + 3 ) .√( x - 3 )
Now , on simplifying the roots of the equation , we get
A = √ ( x + 3 ) ( x - 3 )
The value of ( a + b ) ( a - b ) = a² - b²
So , on further simplification , we get
A = √ ( x² - 9 )
Therefore , the equivalent expression of A is √ ( x² - 9 )
Hence , the equation is A = √ ( x² - 9 )
To learn more about equations click :
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#SPJ7
Math..
from the four letters L,O,V,E, choose one letter if order is not important
I need help please. aaaaaannnnnnnnndddddddddd thannkyou
Answer:
7:58
Step-by-step explanation:
The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.
P+p+p/2+p/4+1=100
Polinomios
Answer:
=
3
6
Step-by-step explanation:
+
+
2
+
4
+
1
=
1
0
0
{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100
p+p+2p+4p+1=100
2
+
2
+
4
+
1
=
1
0
0. 2
+
2
+
4
+
1
=
1
0
0
2p+\frac{p}{2}+\frac{p}{4}+1=100
2p+2p+4p+1=100
2
+
2
+
4
+
1
−
1
=
1
0
0
−
1. Subtract the numbers
Subtract the numbers
2
+
2
+
4
=
9
=
3
6
.
URGENT PLEASE HELP!!!
Answer:
the answer is B 4/9.... I need 20 characters smh.
Answer:
4/9
Step-by-step explanation:
there are 4 numbers below ten and 9 numbers total
If g(x) = 3^Vx-123, find g( - 2).
Answer:
g(-2) = -5
Step-by-step explanation:
We are given the following function:
[tex]g(x) = \sqrt[3]{x - 123}[/tex]
Find g( - 2).
This means that we find g when [tex]x = -2[/tex]. So
[tex]g(-2) = \sqrt[3]{-2 - 123} = \sqrt[3]{-125} = \sqrt[3]{-5^3} = -5[/tex]
So
g(-2) = -5
Dorothy opens a savings account with $80 that earns 8.5% interest
per year, not compounded.
How much money, to the nearest penny, will Dorothy have in 1 year?
Give your answer in dollars.
Answer:
$86.8
Step-by-step explanation:
Given that,
Principal, P = $80
Rate of interest, R = 8.5%
We need to find the money he will have in 1 year. As the interest is not compounded, it must be simple interest. The simple interest can be calculated by the formula,
[tex]I=\dfrac{PRT}{100}\\\\I=\dfrac{80\times 8.5\times 1}{100}\\\\=\$ 6.8[/tex]
We know that,
Amount = Principal + interest
= $80 + $6.8
= $86.8
Hence, the amount will become $86.8.
Approximate, in miles, the circumference of a circle with radius equal to 7/11 miles. (Use 22/7 to approximate .)
Answer: 4 miles
Step-by-step explanation:
The circumference of a circle can be calculated by using the formula:
= 2πr
where,
π = 22/7
r = radius = 7/11 miles
Therefore, circumference = 2πr
= 2 × 22/7 × 7/11
= 4 miles
Th circumference is 4 miles.
NEED HELP FAST‼️‼️
What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Decide whether the following statement is true or false. An infinite number of triangles can be created using the same three angle measures
Answer:
True
Step-by-step explanation:
I took the test!
Answer:
true is the answer
There are an infinite number of triangles which can be constructed with angles measuring this.
There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measure.
Trigonometry problem
Answer:
22.3923
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
∠A = 180° - B - C = 1.309 rad = 5/12π = 75°
a = b·sin(A)/sin(B) = 22.3923
c = b·sin(C)/sin(B) = 23.18222
Answer:
this would be 90 because you would need to multiply to answer it
Step-by-step explanation:
Tony rolled a six-sided number cube 200 times. Her results are in the table shown. What is the experimental probability of Tony rolling a
2 ? Enter the answer as a percent.
Answer:
3
Step-by-step explanation:
3+1=5
Find the product. Write your answer in decimal form. Three-tenths × 1.71 =
Answer:
0.3x1.71=0.513
Answer:
0.513 is the 100% correct answer for this question. Hope this helps! :)
Step-by-step explanation:
Help plz I really need the answer
Answer:
52
Step-by-step explanation:
find the area of each individual piece
top and bottom dimensions are 4 X 3- so each one is 12 inches squared
the left and right side dimensions are 4 X 2- each one is 8
the front and back dimensions are 3 X 2 each one is 6
Surface area- add all together
12+12+8+8+6+6= 52 in squared
Members of a community garden grow 500 vegetable plant
sprouts. They donate 10% of the sprouts to a school. They
sell 20% of the remaining sprouts to a local park. They plant
5% of those left in a greenhouse. Then they plant the rest of
the sprouts outside. How many sprouts do the members
plant outside? Show your work.
Answer:
342 sprouts are planted outside.
Step-by-step explanation:
500 sprouts
500*0.10=50
500-50=450
450*0.20=90
450-90=360
360*0.05=18
360-18=342
There are 15 balls in an urn. 5 red balls, 5 blue balls and 5 white balls. Three balls are taken simultaneously. Let X represent the number of Blue balls. Please Help (Random Variable)
Answer:
X = 33.3 percent
Step-by-step explanation:
The speed s in m/s of an athlete can be modeled by the
function
s = 9.8 – 9.8e-0.88t
where t is the time (in seconds) after the
athlete starts running. Graph this model and use the graph to
estimate the speed of the athlete 2 seconds after his launch.
Round your answer to the nearest whole m/s.
speed m/s
Answer:
Step-by-step explanation: The equation is s = 9.8 – 9.8e-0.88t and we need to find the speed if t or time = 2 so to solve this equation algebraically you would;
[tex]s = 9.8-9.8e-0.88(2)[/tex]
[tex]s = 9.8-9.8e-1.76[/tex]
[tex]s = 8.04-9.8e[/tex]
and after graphing it you would get
[tex]-18.5991619189[/tex]
which after rounding and using absolute value would be
[tex]s=18.6[/tex]
How many faces does the polyhedron have?
9514 1404 393
Answer:
5
Step-by-step explanation:
We presume the figure is a rectangular pyramid and that there are two hidden faces, one on the bottom and one at the back.
We can see 3 faces, so adding the two we presume we can't see, there are a total of 5 faces on this polyhedron.
In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.
Which equation can be used to find the nth term of the sequence, an?
A = an=4n+9
B = an=7n−4
C = an=4n−7
D = an=9n+4
Answer:
The answer is C i.e an=4n-7
What type of polynomial is 14x2 + 3x – 15?
Answer:
Step-by-step explanation:
There are three terms. So, 14x² + 3x -15 is a trinomial
Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton ispushing the boulder with a force of 110 newtons at an angle of 55° with respect to the positivex-axis. Tanner is pulling the boulder with a force of 165 newtons at an angle of 42° with respectto the positive x-axis. Find the magnitude and direction (with respect to the positive x-axis) of theresultant force.
The direction of both forces will be on the positive x-axis. And the resultant force is 185.64 Newtons.
What is force?The product of the mass and acceleration is known as force.
Peyton and Tanner were lifting a large boulder and relocating it within their property.
Peyton is pushing the boulder with a force of 110 newtons at an angle of 55° with respect to the positive x-axis.
Tanner is pulling the boulder with a force of 165 newtons at an angle of 42° with respect to the positive x-axis.
The direction of both forces will be on the positive x-axis.
The pushing force will be
→ 110 × cos 55° = 63.09 N
The pulling force will be
→ 165 × cos 42° = 122.62 N
Then the resultant force will be
Resultant force = 63.02 + 122.62 = 185.64 N
More about the force link is given below.
https://brainly.com/question/13191643
HELP MEEEEEEE PLEASE
Answer:
C
Step-by-step explanation:
no of rulers each student gets,=,no of rulers ÷ no of students
........=83÷s OR
83/s
Write an
equation of the cosine function with amplitude 3 and period 81.
Answer:
y = 3cos(81x)
Step-by-step explanation:
Hello!
Here is the foundational equation to find sine and cosine:
y = A sin(B(x + C)) + D
Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height). B is the period by which the width of the wavelengths are measrured. C is known as the phase shift, which is positive to the left on graph. D is the vertical shift of function.
The amplitude changes the heaight of the cosine function by 3 units. The period is indicated as 81 and , but usually we must first use the equation that is the usual given: period = [tex]\frac{2\pi }{|B|}[/tex] . B must always have an absolute sign to have a psotive value. In this case, the period was given to us.
So, the final equation looks like this:
y = 3cos(81x)
Hope this helps!
I need help its urgent ASAP will mark you the brainliest
9514 1404 393
Answer:
BE = 266 2/3
PE = 233 1/3
Step-by-step explanation:
Part A: The figure has 3 triangles, all similar. In order of shortest-to-longest side lengths, they are ...
ΔBPE ~ ΔBCG ~ ΔGRE
__
Part B: They can be declared similar by the AA postulate. For BPE and BCG, the angles at B are vertical angles, so are congruent. The angles at C and G are alternate interior angles, so are congruent.
For triangles BPE and GRE, angle E is congruent to itself, The angles at R and P are corresponding angles, so are congruent.
(Remember, GRPC is a parallelogram, so any line in the figure is a transversal crossing parallel lines.)
__
Part C:
From parts A and B, we know ΔBPE ~ ΔBCG. Corresponding sides are proportional:
BP/BC = BE/BG = PE/CG
200/300 = BE/400 = PE/350
BE = (400)(2/3) = 266 2/3
PE = (350)(2/3) = 233 1/3
Shilpa's gym membership includes a one-time fee
of $20. She then pays a discounted fee of $5 for
each visit. The function that shows her average
cost after x visits is:
f(x)=20+5x/x
Recall the general form of a rational function:
Answer:
if she goes 5 days a week then she will pay 45 dollars
she only had 2 pay 20$ one time and she pays 5 dollars each visit and she goes 5 times a week
5x5 is 25 and plus 20 will be 45 just within only that weel
—statistics and probability, rules of probability
Question:
Mary has 10 blouses hanging in her closet— 5 are blue, 2 are black, and the rest are red. if she hangs the blouse in a random order, what is the probability that the first and last blouse are both red?
A. 0.011
B. 0.067
C. 0.042
D. 0.001
Answer:
B. 0.067
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number of arrangements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
Desired outcomes
First red(10 - (5+2) = 3 possible)
Last red(2 possible).
Middle 8 arranged in any way.
So
[tex]D = 3*A_{8}*2 = 3*8!*2 = 241920[/tex]
Total outcomes:
Arrangements of 10 elements. So
[tex]T = A_{10} = 10! = 3628800[/tex]
What is the probability that the first and last blouse are both red?
[tex]p = \frac{D}{T} = \frac{241920}{3628800} = 0.067[/tex]
The correct answer is given by option B.
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
