This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.Answer:
D. The y-intercept is (0,1).
Step-by-step explanation:
Hope this helps
Help pls I’m not sure if I’m right
Emily went to a toy story that was selling one Nintendo ds game and one wii game for a total of $70. Emily bought 3 ds games and 2 with games and spent $169 .what was the price of one wii game
Answer:
0ne wii game is 50 dollars
Step-by-step explanation:
Which statement describes the effect on the parabola with an equation of y = x2 – 2x when it is changed to y = x2 + 2x?
A. The parabola is shifted to the left 2 units.
B. The parabola is shifted to the right 2 units.
OC. The parabola is shifted to the left 4 units.
OD. The parabola is shifted to the right 4 units.
Answer:
A. The parabola is shifted to the left 2 units.
Step-by-step explanation:
Refer to the graph below where the red parabola is y=x²-2x and the blue parabola is y=x²+2x, showing a horizontal shift of two units to the left.
Find the 110th term for the following sequence
4, 9, 14, 19, 24,..
Answer:
549
Step-by-step explanation:
Given :-
A sequence 4 , 9 , 14 , ...And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,
Using formula :-
[tex]:\implies[/tex] T_n = a + ( n -1)d
[tex]:\implies[/tex] T_n = 4 + (110-1)5
[tex]:\implies[/tex] T_110 = 4 + 109*5
[tex]:\implies[/tex] T_110 = 4 + 545
[tex]:\implies[/tex] T_110 = 549 .
Hence the 110 th term is 549 .
A vase in the shape of a cube measures 8
inches on each side. The vase is half full with
water. How many cubic inches of water are
in the vase?
What is 82.3 in expanded form
Answer:
Standard Form:
82.3
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
82.3 =
80
+ 2
+ 0.3
Expanded Factors Form:
82.3 =
8 × 10
+ 2 × 1
+ 3 × 0.1
Expanded Exponential Form:
82.3 =
8 × 101
+ 2 × 100
+ 3 × 10-1
Word Form:
82.3 =
eighty-two and three tenths
Step-by-step explanation:
I did all the work
Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly. Write the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit.
The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 627(1.00875)^{4t} (in dollars)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For this case, we're given that:
Initial amount Jamie deposits = P = $627Rate of interest = 3.5% compounding quarterlyTime = t yearsRate of interest is compounding quarterly.
Each year has 4 quarters.
Rate of interest is usually annual rate of interest. Since compounding is done quarterly, let we express everything in quarter years.
Quarterly interest rate compounding quarterly = 3.5/4 = 0.875% = R%
t years has 4t quarters = T
Thus, we get the final amount in Jamie's account as
[tex]A = P\left(1 +\dfrac{R}{100}\right)^T\\\\A = 627 \left(1 +\dfrac{0.875}{100}\right)^{4t}\\\\A = 627(1.00875)^{4t} \: \rm \text{(in dollars)}[/tex]
Thus, the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is [tex]A = 627(1.00875)^{4t}[/tex] (in dollars)
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Pls help with this it’s 3:44 AM for me and I still didn’t finish My math work ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please do your best!
Answer:
3/5=3/3×3/5=9/15
Step-by-step explanation:
that's the answer
Solve
Y/2 +22=38 for .
do u mind answering for some points?
Answer:
Step-by-step explanation:
Y = 32
HELP LOLLLLLLLLLLLLLLLLL
Answer:
15^2 + 20^2
[tex]\sqrt{625}[/tex] = 25
Step-by-step explanation:
Pedrito gastó la cuarta parte de su propina en golosinas, las dos quintas partes en juegos y la octava parte se la regaló a su hermano menor. ¿Qué fracción de su propina todavía le queda?
Answer:
La fracción de la propina que todavía le queda a Pedrito es:
9/40 (nueve cuarentavos).Step-by-step explanation:
Para obtener la respuesta, se debe realizar una resta de fracciones, en este caso la haremos de solo dos fracciones por ocasión para que quede muy bien entendido. La totalidad de la propina de Pedrito corresponde a una unidad (es decir 1 entero), por lo tanto, a ese número le restaremos lo que gastó en golosinas, lo cual es una cuarta parte o 1/4:
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]Una vez Pedrito ha gastado una cuarta parte en golosinas, aún le quedan tres cuartas partes o 3/4, ahora a ese número le restaremos las dos quintas partes o 2/5 que gastó en juegos:
[tex]\frac{3}{4}-\frac{2}{5}=\frac{7}{20}[/tex]Una vez gastadas dos quintas partes en juegos aún le quedan siete veinteavos o 7/20, por último, a este número le restaremos la octava parte o 1/8 que le regaló a su hermano menor:
[tex]\frac{7}{20}-\frac{1}{8}= \frac{9}{40}[/tex]Por lo tanto, al final de sus gastos y obsequios, a Pedrito le quedan 9/40 o nueve cuarentavos de su propina.
graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including the roots and the vertex
Answer:
This is what I got! Hope it helps! :)
The zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).
What is graph of quadratic equation?The graph is not a line. This figure is called a parabola. Every quadratic equation has a graph that looks like this.
All parabolas of the form y = [tex]a{x}^{2}+bx+c[/tex] open upwards or downwards.
When the [tex]{x}^{2}[/tex] term is positive, the parabola opens upward, and when the [tex]{x}^{2}[/tex] term is negative, the parabola opens downward.
After plotting the equation [tex]y=-x^{2} +10x-16[/tex]
From the graph i have labelled 5 points, they are
As per the graph the zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).
Find out more information about graphing a quadratic equation here
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how many lines of symmetry does does this triangle have ?
Answer:
D..... 3 lines of Symmetry
In circle A, BE and FC are diameters. Find the measure of arc FC.
Explanation please and no sketchy links <3 Thank you
Answer:
180°
Step-by-step explanation:
In [tex] \odot A, [/tex] [tex] \overline {BE} [/tex] and [tex] \overline {FC} [/tex] are diameters. (given)
Therefore, FC is a semicircular arc.
Since, measure of semicircular arc is 180°
[tex] \therefore m\widehat {FC} =180\degree [/tex]
help me please andwer this
Answer:
B
Step-by-step explanation:
i am smart
A rectangular field is 96m. in length and 42 m. in breadth. A
path of uniform width 3m.
runs immediately inside its boundary.
Answer:
Correct option is
D
960m
2
Given length of is 50 meters and 42 meters broad and Inside rectangular lawn 6 m width
Then area of Lawn in length sides of rectangle=2×lengthofrectangle×widthofpath=2×50×6=600 sq m
And the of Lawn in width sides of rectangle=2×(widthofrectangle−2widthofpath)×widthofpath=2×(42−2(6))×6=2(42−12)6=60×6=360 sq m
Then total area of lawn path =600+360=960 sq m
Find the perimeter.
42
14
82
102
O
12
102
Perimeter = ?
Simplify your answer completely.
100 points!!!!!!!! A box contains 8 rings, 10 necklaces, and 4 pins. If Anya selects 1 piece at random, does NOT replace it, and then picks another, what is the probability that she selected 2 rings?
Answer:
2/25
Step-by-step explanation:
PLS WILL GIVE 100 POINTS AND MARK BRAINLEST
Answer:
angle 2 = 128 because of a rule that I unfortunately cannot remember the name of....
angle 6 = 180 - 47 = 133
because a straight line = 180 degrees
angle 3 = 180 - 128 = 52
Same reason as angle 6
angle 1 = 52 + 47 = 99
180 - 99 = 81
Sum of the angles in a triangle = 180
All of the underlined numbers are the answers
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
If the system x+y=5, 5x+by=19 has a solution represented by the ordered pair (-1,6) then the value B is
Answer:
40
Step-by-step explanation:
the awnser is 40
Solve for theta
[tex]solve \: for \: \alpha .[/tex]
, if Cos30 = 0.45
11. The value of a piece of machinery, in dollars,
after t years is described by the function below.
f(t) = 12,500 - 1,600t
What is the value of the machinery after 4
years?
оооо
A. $7,700
B. $6,400
C. $6,100
D. $10,900
What is the result of adding 3 to -3?
A) -6
B) -3
C) 0
D) 6
Answer:
C
Step-by-step explanation:
-3 + 3 = 0
- Gage Millar, Algebra 2 Tutor
Answer:
[tex]\huge{\boxed{\boxed{\tt {⇻ Answer :- }}}} \ [/tex]
[tex]3 + ( - 3) \\ = 3 + - 3 \\ = 3 - 3 \\ = 0[/tex]
⎆ Answer :- Option C) 0
Please help! This is due today!
Answer:
Yes it will fit
Step-by-step explanation:
The area of the bedroom, since it's a square, would be 12ft * 12ft = 144ft²
The area of the circular rug would be πr² = π(40.82/2π)² = 132.6ft²
Since 144ft²>132.59ft², this means that the 132.6ft² circular rug would be able to fit into the 144ft² bedroom.
6. The figure shows rectangle ABCD in the coordinate plane with point A(0, 2.76), B(3.87, 2.76), C(3.87,0, and D(0,0). Rectangle ABCD can be used to approximate the size of the state of Colorado with x and y scales representing hundreds of miles. At the end of 2010, the population of Colorado was 5,029,196 people. Based on this information given, what was the population density at the end of 2010 in people per square mile? Enter your answer in the box.
Answer:
Population density = 47 people per square miles
Step-by-step explanation:
From the picture attached,
Coordinates of vertex B → (3.87, 2.76)
Which represents length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles
Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles
Area of rectangle ABCD = Length × Width
= CD × AD
= 387 × 276
= 106812 square miles
Population of Colorado = 5029196 people
Population density of Colorado = [tex]\frac{\text{Total population}}{\text{Total area}}[/tex]
= [tex]\frac{5029196}{106812}[/tex]
= 47.08
≈ 47 people per square miles
The population density at the end of 2010 in people per square mile is 47.
The calculation is as follows;Length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles
Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles
Now
Area of rectangle ABCD = Length × Width
= CD × AD
= 387 × 276
= 106812 square miles
And,
Population of Colorado = 5029196 people
So, the population density is
[tex]= 5029196 \div 106812[/tex]
= 47
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Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?
A table showing Rate in part per hour, Time in hours, and Part of Room Painted. The first row shows Rocco and has StartFraction 1 Over 7 EndFraction, 3, and StartFraction 3 Over 7 EndFraction t. The second row shows Giulia, and has r, 3, and 3 r.
+ 3r = 7
+ 3r = 1
= r
= 3r
Answer:
+3r=7
Step-by-step explanation:
Answer:
3/7 + 3r = 7
Step-by-step explanation:
Is (-2, 4) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
Yes
Step-by-step explanation:
I think the test
Rewrite the expression as a single exponent
Answer:
9^7
Step-by-step explanation:
Answer:
9^7
Step-by-step explanation:
I hope this helps. :)
h(x)=2x+5
find h(x/2)
Answer:
x+5
Step-by-step explanation:
h(x/2) = 2(x/2) + 5 = x+5
Answer:
h(x/2 = x + 5
Step-by-step explanation:
In the given function h(x)=2x+5, replace x with x/2 to find h(x/2):
h(x/2) = 2(x/2) + 5, or
h(x/2 = x + 5
Rule 1: Multiply by 5 starting from 1. Rule 2: Add 4 starting from 10. Select the option that correctly shows the first 5 terms of each sequence.
First sequence: 0, 1, 5, 25, 125 and second sequence: 10, 14, 18, 22, 26
First sequence: 1, 5, 25, 125, 625 and second sequence: 0, 10, 14, 18, 22
First sequence: 1, 5, 25, 125, 625 and second sequence: 10, 14, 18, 22, 26
First sequence: 1, 3, 9, 27, 81 and second sequence: 10, 15, 20, 25, 30
Answer:
last is 1,3,9 , that is not correct
Step-by-step explanation:
baki right answer a correct answer a
Answer:
First sequence: 0, 1, 5, 25, 125 and second sequence: 10, 14, 18, 22, 26
Step-by-step explanation: