[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]
The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of one form of rhodium, Rh-106, is about 30 seconds. If you start with 100 grams of Rh-106, how much will be left after 4 minutes?
Answer:
0.390625 grams
Step-by-step explanation:
can i get a second opinion on this
3x + 5x - 2 + 18x = 180
Answer:
x=7
Step-by-step explanation:
3x+5x-2+18=180
26x-2=180
26x=182
x=7
Which of the following is most likely true? The mean and median are both in the interval 1–5. The mean and median are both in the interval 6–10. The mean is in the interval 6–10, and the median is in the interval 1–5. The mean is in the interval 1–5, and the median is in the interval 6–10.
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use Pi = 3. 14 and round the answer to the nearest square foot.
Answer:
38 square feet
Step-by-step explanation:
How do we find the area of a circle?
❖ The area of a circle is πr², where r = radius. For this case, we're going
to approximate pi as 3.14.
How do we find the radius given diameter?
❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter
is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5
feet.
Solving
[tex]3.14*3.5^2[/tex] [tex]3.14 *12.25[/tex] [tex]38.465[/tex] 38.465 ≈ 38Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡
Write in the given rational numbers into the correct order line from least to gratest
-2/3, 7/8, -4/5 7/10, and -4/3
Pls hurry yall
Answer:
-4/3, -4/5, -2/3, 7/10, 7/8
The area of a right triangle is 336 square inches. The height of the right triangle is 48 inches. What is the length of the hypotenuse of the right triangle?
HELP! I have no idea how to answer this?!
Answer:
A train backed up 7 ft and then moved forward 7 ft
Step-by-step explanation:
When the train moved back 7 feet, it would be negative, -7. Then it went forward again 7 feet. The train is in the same place as it was before, 0.
Which derivation correctly uses the cosine sum identity to prove the cosine double angle identity
Answer: A
Step-by-step explanation: took the test
The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) - sin(x)²
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Let revise the identities of double an angle
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
cos(2x) = 2 cos²(x) - 1
cos(2x) = 1 - 2 sin²(x)
The equation
∵ cos(2x) = cos(x + x)
cos(x)cos(x) - sin(x)sin(x)
cos²(x) - sin(x)²
The identity is cosine double angle identity for cosine difference
Learn more about trigonometric;
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I need this for my homework!: Describe the steps you can use to find an average of
fractional amounts.
Thanks! ＜；
Step-by-step explanation:
for example 1)8,9,12,8,7,11,3,9,5
we need to find average
first add all the numbers =72
we divide by how many number we havein data base which is 9 (mean count how many numbers we have)
72/9=8
8 + 6.9x what is the value of x
8 + 6.9x = 0
(Setting equation to 0 to figure out what x could be)
6.9x = -8
(Subtract 8 to both sides to isolate the x)
X = -8/6.9 or -1.15942
(Divide 6.9 to isolate x and you get your answer)
The buyer for a chain of stores purchased leather couches in bulk, paying $750 each. The stores will sell each leather couch for $1,275. What is the mark-up percentage?
Answer:
The mark-up percentage is 70%
Step-by-step explanation:
Let us revise the rule of the mark-up percentage
[tex]M=\frac{S-P}{P}[/tex] × 100%, where
M is the mark-up percentageS is the selling priceP is the purchasing pricelet us use this rule to solve the question
∵ The buyer purchased leather couches in bulk, paying $750 each
∴ P = 750
∵ The stores will sell each leather couch for $1,275
∴ S = 1,275
→ Substitute them in the rule above
∴ [tex]M=\frac{1275-750}{750}[/tex] × 100%
∴ [tex]M=\frac{525}{750}[/tex] × 100%
∴ M = 70%
∴ The mark-up percentage is 70%
What is the solution to the equation?
A. x = 144
B. x = 30
C. x = 18
D. x = 4
Answer:
D
Step-by-step explanation:
1/24x = 1/6
Multiply 1/6 by the reciprocal of 1/24 which is 24/1
Therefore;
X = 1/6 × 24/1
X = 4
A clay model of a new car is 7 in. Long. The actual car is 21 ft long. Part 1: What proportion can you use to find the scale used to make the model? Part 2: What is the scale of the model? Select BOTH answers. * 2 points Option 1 1 in. : 3 ft. 1 in. : 1 ft. Option 3 Option 2 3 in. : 1 ft.
Answer:
3ft:1in
Step-by-step explanation:
Given the clay model of a new car = 7in
If the actual car is 21ft, first we will have to convert 21ft to inches
Ift = 12in
21ft = x
x = 21×12.
x = 252in
21ft = 252in
This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.
To know the scale of the model, we will take the ratio of the actual car to the clay as shown
Scale = actual car model/clay car model
Scale = 252/7
Scale = 36/1
We can also use the exact units of both measurement used in question
Scale = 21ft/7in
Scale = 3ft/1in
Hence the scale of the model is 3ft:1in
helppppppppppppppppppppppppppppppppppp
Answer:
See below.
Step-by-step explanation:
3 and 8 are like termsIn 9a, 9 is a coefficientincrease Rs. 5252 by 20%
Answer:
6302.40
Step-by-step explanation:
STEP 1: Find 20 percent of 5252
[tex] \frac{20}{100} \times 5252 \\ = \frac{5252}{5} = 1050.4[/tex]
STEP 2: Add the result to the initial money
[tex]5252 + 1050.4 = 6302.4[/tex]
Hence, the answer is Rs. 6302.40
Use the algebra tiles to model x 1. Then choose the answer that describes the correct tiles. One blue x tile and one orange tile one orange x tile and one blue – tile one blue x tile and one blue – tile one orange x tile and one orange tile.
The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x + 1.
Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Using algebra tiles provides a more visual way for us to solve our problems.
The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
To know more about algerbra tiles click the link given below.
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For which interval is the function constant?
(-infinity, 0)
(6, infinity)
(2, 6)
(0, 2)
Answer:
the answer is (2,6)
Step-by-step explanation:
Find the measure of x. PLEASE HELP ASAP. WILL MARK BRAINLIEST
Answer:
3.2 units to nearest tenth.
Step-by-step explanation:
cos 29 = x /3.7 (cosine = adjacent side / hypotenuse)
x = 3.7 * cos 29
= 3.236
Find the distance FG between the points F(6,7) and G(8,9)
Answer:
2.828
Step-by-step explanation:
Which is the best description of the equivalency of the two expressions?
Expression 1
5x2 - 2x-4+6x+3
Expression 2
6x2 - 6x+6-x^2+10x-7
The two expressions are not equivalent because when x=2, the two expressions do not have the same value
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients
for the x2 and x terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when x = 2, the two expressions have the same value.
PLEASE HELP IM ON A TIMER I WILL GIVE BRAINLIEST
Answer: D
Step-by-step explanation:
Equivalent when u use x=2
The area of a triangle 36 ×39×15
Answer:
a=21060[tex]in^{3}[/tex]
Step-by-step explanation:
A= B*W*H
A=36*39*15
A=1404*15
A=21060
plz help! how many zeros abs relative minimums does it have?
Answer:
The degree of f(x) is even, and the leading coefficient is negative. There are 3 real zeros, and 1 relative minimum values.
Step-by-step explanation:
We have the graph of f(x).
First, since both end behaviors are the same, our function must be an even-degree.
Second, since both end behaviors are going towards negative infinity, this means that the leading coefficient of our function must be negative.
The real zeros are whenever the graph touches or crosses the x-axis. We can see that this happens three times. I've circled them in blue in the image below.
Finally, relative minimum values are the lowest points in a graph, and then happen between a decreasing and then an increasing curve.
From, the graph, we only have one relative minimum value. This is circled in black in the image below.
Note that the arrows whether the curve is decreasing or increasing. We can see that the curve to the left of the minimum is decreasing, while the curve to the right of the minimum is increasing.
So, our solution is:
The degree of f(x) is even, and the leading coefficient is negative. There are 3 real zeros, and 1 relative minimum values.
And we're done!
the ratio at which x axis divides the point (2, - 8) and (-3, 6).
Pls tell me the answer as fast as possible...
We are having math surprise test today...
Answer:
The answer is Math. M a t h
Step-by-step explanation:
Good luck!
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. A graph shows number of cuts labeled 1 to 10 on the horizontal axis and remaining area (square centimeters) on the vertical axis. A line decreases from 0 to 10. After each cut, what percentage of the previous area is the the remaining area? 10% 20% 80% 100%.
After each cut, by observing the graph, the remaining area is 80% of the previous area.
It is given that
Actual area = 100cm²
What is the percentage?The percentage is the value per hundred.
According to the graph,
Area after the first cut =80cm² (80% of the previous are)
Area after the second cut = 64 cm²(80% of 80)
Area after third cut = 51.2 cm²(80% of 64)
So we can observe that area after each cut is 80% of the previous area.
Therefore, after each cut, the remaining area is 80% of the previous area.
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After each cut, by observing the graph, the remaining area is 80% of the previous area.
It is given that
Actual area = 100cm²
What is the percentage?
The percentage is the value per hundred.
According to the graph,
Area after the first cut =80cm² (80% of the previous are)
Area after the second cut = 64 cm²(80% of 80)
Area after third cut = 51.2 cm²(80% of 64)
So we can observe that area after each cut is 80% of the previous area.
Therefore, after each cut, the remaining area is 80% of the previous area.
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What is the measure of the indicated angle?
Answer:
D. 63
Step-by-step explanation:
Corresponding angles are equal.
Answer:
the answer would be 63.
explanation:
the angles are corresponding therefor they are equal.
Juana invests $1,500 in an account accumulating 3% interest according to the equation v=1500(1.03)^y, where v
represents the value of the account after y years. Marquez and Calvin invest the same amount of money at the same
rate. Marquez invests three years before Juana, and Calvin invests two years after Juana. By what factor would
Calvin's investment need to be increased to equal Marquez's investment at any time after Calvin's investment is
made?
A. 86.3%
B. 97.1%
C. 115.0%
D. 115.9%
Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let v represent the value of the account after y years. Hence:
For Juana:
[tex]v=1500(1.03)^y[/tex]
Marquez invests three years before Juana, Hence:
[tex]v'=1500(1.03)^{y+3}=1500(1.03)^y(1.03)^3=(1.03)^3*v=1.092727v[/tex]
Calvin invests two years after Juana. Hence:
[tex]v"=1500(1.03)^{y-2}=1500(1.03)^y*(1.03)^{-2}=(1.03)^{-2}v[/tex]
v' / v" = ((1.03)³ * v) / ((1.02⁻²) * v) = 1.159 = 115.9%
Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.
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James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
Each team will receive
feet of rope.
Also simplify.
a large container contains 5 gallons of water. it begins leaking at a constant rate. After 20 mins, the container has 1 gallon of water left. At what rate is the water leaking?
Answer:
12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)
Step-by-step explanation:
assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes
−5(x−10)=−50 i need help answering it
[tex] - 5(x - 10) = - 50[/tex]
[tex] - 5x + 50 = - 50[/tex]
[tex] - 5x = - 50 - 50[/tex]
[tex] - 5x = - 100[/tex]
[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]
[tex]x = 20[/tex]
Is -7 +9 = -9 +7 true, false, or open? If you know all the answers to the qc please tell me
Answer:
-7+9=2
-9+7=-2
they both are equal to the same number so my answer to this question would be true.
hope this helps...