Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
What is the median of this set 17,13,18,20,17,15,12,
Answer:
17
Step-by-step explanation:
The discount price of a hat is $18. What is the regular price? $
PLZ HURRY!!!!!
Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
What are the denominators of the fractions?
Answer:
2 and 10
Step-by-step explanation:
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
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A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is
Answer:
C = 306 +1.3x
Step-by-step explanation:
In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.
C = 306 +1.3x
This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide
Hey! Just do the first one! :) I also need this fast- so help! :((
Answer:
the second one
Step-by-step explanation:
that's the answer
Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4.5 m (StartFraction 7 Over 8 EndFraction minus 9). Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.
Answer: D
Step-by-step explanation:
No, the addition symbol was dropped in the second expression is not correct.
What is Expression?An expression is combination of variables, numbers and operators.
No, Vance did not apply the associative property correctly.
The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.
However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.
Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.
The correct equivalent expression using the associative property would be:
(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)
From there, we could simplify the expression further, if needed.
Hence, No, the addition symbol was dropped in the second expression.
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What's three digit number closest to 300 using 6, 2, 7, 3
Answer:
326
Step-by-step explanation:
Its hard to explain but you get the idea lol
what is -6(-4d-8.3+3d)
Answer:
6d+49.8
If looking for d=8.316 but 6 is repeated
Step-by-step explanation:
Answer:
6 d+49.8
Step-by-step explanation:
I simplify
Halla una razón equivalente para formar una proporción 17
----
19
Answer:
85:95 I did the math
Daniela y Jorge can en bicicleta y salen del mismo lugar, Daniela avanza 6km y luego retrocede 2km mientras que Jorge avanza 8km y retrocede 5km.
¿A que distancia se encuentra uno del otro?
¿Quien ha avanzado más de los dos?
¿Quien ha recorrido más km?
Answer:
a) 1 km
b) Amaya
c) Jorge
HOPE THIS HELPS ;P
Arrange the expressions in ascending order of their values when x = -2.
1-x^2/1-2x
x^2-1/1-2x
2x^2+x/2
3x^2+1/2(x-1)
Step-by-step explanation:
Option (1)
[tex]\dfrac{1-x^2}{1-2x}[/tex]
Put x = -2, let the value is y such that,
[tex]y=\dfrac{1-(-2)^2}{1-2(-2)}\\\\=\dfrac{1-4}{1+4}\\\\=-0.6[/tex]
Option (2)
[tex]\dfrac{x^2-1}{1-2x}[/tex]
Put x = -2, let the value is y such that,
[tex]y=\dfrac{(-2)^2-1}{1-2(-2)}\\\\=\dfrac{4-1}{1+4}\\\\=0.6[/tex]
Option 3)
[tex]2x^2+\dfrac{x}{2}[/tex]
Put x=-2 such that,
[tex]y=2(-2)^2+\dfrac{(-2)}{2}\\\\=7[/tex]
Option (4)
[tex]3x^2+\dfrac{1}{2(x-1)}[/tex]
Put x =-2 such that,
[tex]y=3(-2)^2+\dfrac{1}{2((-2)-1)}\\\\=11.83[/tex]
Ascending values : -0.6,0.6,7,11.83
or
[tex]\dfrac{1-x^2}{1-2x}[/tex] < [tex]\dfrac{x^2-1}{1-2x}[/tex] < [tex]2x^2+\dfrac{x}{2}[/tex] < [tex]3x^2+\dfrac{1}{2(x-1)}[/tex]
Find the quotient
2/3 divided by 3 = _
Answer:
2/9 should be the answer.
Step-by-step explanation:
In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.
The complete table is given below. Then the correct option is C.
Hours Minutes
2 120 3 180 4 240What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The following is a conversion table for hours and minutes.
We know that in one hour, there are 60 minutes.
In two hours, there are 120 minutes.
In three hours, there are 180 minutes.
Similarly, in four hours, there are 240 minutes.
Then the complete table is given below.
Hours Minutes
2 120
3 180
4 240
Then the correct option is C.
The complete question is given below.
The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?
Hours Minutes
120
180
240
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Completely factor the expression.
Answer:
x(8xsquare+6x-20)
Step-by-step explanation:
Answer:
[tex]x(2x+4)(4x-5)[/tex]
Step-by-step explanation:
[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]
someone please help ;-;
Find the slope of the line through the points (5, -3) and (5, 4)
Answer:
Infinity
Step-by-step explanation:
Let one point is x1, y1 (5, -3)
the other is x2, y2 (5,4)
then slope = (y1-y2)/(x1-x2)
=(-3-4)/(5-5)
=-7/0
=Infinity
So slop is infinite
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°. Find the length of k, to the nearest 10th of an inch
Answer:
10.5
Step-by-step explanation:
sin29
k
=
sin124
18
Plug in. Opposite sides go together.
k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5
k=
sin124
18sin29
≈10.526≈10.5
The required length of k is 10.5 inches for the given triangle.
What is the sine rule?The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.
a/sinA = b/sinB = c/sinC
The triangle is given in the question, as follows:
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°.
We have to determine the length of k.
As per the sine rule, the required solution would be as:
m/sin∠M = k/sin∠K
Substitute the known values and we get
18/sin 124° = k/sin 29°
k = (18/sin 124°) × sin 29°
k ≈ 10.5
Thus, the length of k is 10.5 inches.
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Solve x2 + 2x + 7 = 0 using the Quadratic Formula
The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
what is Quadratic Equation?A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
x² + 2x + 7 = 0
now, using Discriminant Method
D= √b² - 4ac
D= √4- 4(1)(7)
D= √-24
D= 2i√6
Now, x= -b± D/2a
x= -2 ± 2i√6/2
x= -2 + 2i√6/2 or x= -2 - 2i√6/2
x= -1 + i√6 or x= -1 - i√6/2
Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
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This is urgent please help!
Answer:
try the last one
Step-by-step explanation:
stion No. 8
Which of the following statements is false?
a) Two vertically opposite angles can be acute
b) Two vertically opposite angles can be obtuse
c) Two vertically opposite angles can be right angles
d) Two vertically opposite angles may be unequal
0
(4) d
D is incorrect because two vertically opposite angles HAVE to be equal there for D is false.
What is the value of angle PDV
Answer:
9y+7=2y+98
7y+7=98
7y = 91
y = 13
m<PDV = 2y+98
= 2(13)+98
= 26+98
= 124
Answer right and I’ll give you brainliest
Help? If you can.
Questions 5-9 ONLY
Answer:
My answer got deleted for some reason so lemme try again:
Answer:
5. A
6. B
7. 115
8. 97
9. 123
Step-by-step explanation:
5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc
6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles
7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8
8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6
9. m<1 and m<6 add up to 180 degrees.
Rachel is buying lunch for herself and two friends . She has a coupon for $20 off the total bill. Rachel wants to spend less than $60. Write an inequality to find out the cost of the meal if they all order the same meal for lunch.
the sum of four consecutive odd numbers is 48?
Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
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Evaluate.
(−2)^6
Enter your answer in the box.
Answer:
-64
Step-by-step explanation:
I used a calculator lol.
Help me please and thank you