The expression [tex](2a^x + 1/2b^x)^2[/tex] will generally be located towards the upper right quadrant of the grid, with the term [tex]2a^x[/tex] positioned further to the right and the term [tex]1/2b^x[/tex] positioned further towards the top.
To determine the proper location of the expression [tex](2a^x+1/2b^x)^2[/tex] on the grid, let's analyze the components of the expression and their respective positions.
The given expression is [tex](2a^x + 1/2b^x)^2[/tex]. Breaking it down, we have two terms inside the parentheses: [tex]2a^x[/tex] and [tex]1/2b^x[/tex]. These terms consist of variables (a and b) raised to a power (x), along with coefficients (2 and 1/2) multiplying them.
On the grid, we can assign a specific axis for each variable: the horizontal axis for 'a' and the vertical axis for 'b'. The power 'x' indicates that the values will vary along these axes. Since we don't have specific values for 'a', 'b', or 'x', we cannot pinpoint exact locations on the grid.
However, we can make some general observations. The terms [tex]2a^x[/tex] and [tex]1/2b^x[/tex] will have different positions on the grid due to their coefficients. The term with the coefficient 2 will be relatively larger along the horizontal axis compared to the term with the coefficient 1/2, which will be relatively smaller along the vertical axis.
Hence, on the grid, we can expect the term [tex]2a^x[/tex] to be positioned towards the right side, while the term [tex]1/2b^x[/tex] will be positioned towards the top. The exponent '2' outside the parentheses indicates that the entire expression will be squared, so it will be further enlarged.
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What’s the answer to all 4
Answer:
wdym
Step-by-step explanation:
i dont get it
Step-by-step explanation:
1 reflection 2.rotation 3 reflection 4 rotation
Given the conversion factor
Answer:
Solid A
Step-by-step explanation:
The formula to find the surface area of a cube = 6a²
Where a = side length
Solid A = 17ft
For solid A, surface area = 6 × (17 ft)²
= 1734 ft²
For Solid B
the conversion factor 3.28ft/ 1 m
Solid B = 5m
Hence, converting 5m to ft
1m = 3.28 ft
5m =
Cross Mulitiply
= 5m × 3.28ft
= 16.4 ft
Hence, the surface area of solid B =
6 × (16.4 ft)²
= 1613.76 ft²
The cube that has the larger surface area is Solid A
For the given measure
, find the measure of the supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.
82 degrees
Answer:
The supplementary angle is
153°.
The complementary angle is
63°.
Step-by-step explanation:
This is very right trust mne
Mark me brainlist
The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
Two angles whose sum is 180° are called supplementary angles.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Those two-two angles are two pairs of supplementary angles.
That means, if supplementary angles are aligned adjacent to each other,
their exterior sides will make a straight line.
Therefore, The supplementary angle is 153°.
The complementary angle is 63°.
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If the pattern continues, what would be the seventh number in the pattern?
98, 91, 85, 80
A. 76
B. 73
C. 71
D. 70
what does 4(15w) + 90 =
Answer:
110
Step-by-step explanation:
Answer:
60w+90
Step-by-step explanation:
That would be the simplified expression
33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E
Answer:
ans = <ebc= 115°
hope this will help
.
.
Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6
Answer:
The answer is: u-3>-6
This is because 10-3=7 and 7>-6
A milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?
Answer:
plz mark brainliest
Answer:12345678910
Step-by-step explanation:
PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
mark me as
brainliest
18
Answer:
144 ounces
Step-by-step explanation:
Can I please get help with this question on future value of annuities? I also am really confused on how to do the table of values.
Answer:
D
Step-by-step explanation:
I've attached one of those tables below
I'm going to solve this using the FV annuity formula
[tex]R(\frac{(1+i)^n-1}{i})[/tex]
where i is the effective rate of interest
r is the payment
n is the number of periods
to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)
and the number of periods is 4*2 (because there are two periods a year(
[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D
To use the table go to the effective rate of interest (4%) and then number of periods (8)
The number is 9.2142
mulitply that by the payment (1500) and get 13821.3 (D)
*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*
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Answer:
D. $13,821.30
Step-by-step explanation:
The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.
Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.
That multiplier is 9.2142, so the future value is ...
FV = amount invested per period × multiplier from table
= $1500 × 9.2142 = $13,821.30
__
The above is how you use the table.
You can also choose the correct answer based only on your number sense, without bothering with the table.
You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:
D. $13,821.30
Find the value of each variable in the parallelogram
PLEASE HELPPPP!!
Answer:
m = 35
n = 110
Step-by-step explanation:
70/2 = 35
70 + 70 = 140
360 - 140 = 220
220/2 = 110
An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?
Answer:
x = -√3 /2
y = ½
Step-by-step explanation:
x = cos 150°= -√3 /2
y = sin 150° = ½
May someone help me I kinda stuck and I would love some help it 6th-grade math!
Answer:
72
Step-by-step explanation:
first, you cut the top of the T and you multiply 12 x 3 which is 36. Then with the 4 cm on both sides, I'm assuming the middle part is also 4 (since the other side is 12) and then you multiply 9 x 4 which is also 36, then you add and get 72!
Find all solutions to the equation. cos x = -1/2
Answer:
^^
Step-by-step explanation:
Answer:
You didn't add the range. I'll use (0<x<2π)
cosx = -1/2
x=-cos-¹(1/2)
x= -60°
Cosine is negative in the second and 3rd quadrants
180-x ---- Second quadrant
x+180 ----- 3rd quadrant
So
Our answer
180-(-60)=240° or 4π/3 second quad
180+(-60) = 120° or 2π/3---- 3rd quad
please help :) find the area of the regular polygon
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Answer:
3√3 square units
Step-by-step explanation:
The area of a regular n-sided polygon with radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
For n=3 and r=2, the area is ...
A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)
A = 3√3 . . . . square units
_____
Alternate solution
The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...
b = (2/√3)(3) = 2√3
The area using these dimensions is calculated as ...
A = 1/2bh
A = 1/2(2√3)(3) = 3√3 . . . . square units
plsssssss helpppppppp meeeeee!
<3
Answer:
X = 99
Step-by-step explanation:
Which choice is equivalent to the expression below
5x sqrt2 - 3 sqrt2 + x sqrt2
Answer:
answer is D I think
Step-by-step explanation:
.............
Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh
Answer:
42.25 feet ³
Step-by-step explanation:
Volume of the box = length × width × height
Length = 6 1/2 feet = 6.5 feet
Width = 3.25 feet
Height = 2 feet
Volume of the box = length × width × height
= 6.5 feet × 3.25 feet × 2 feet
= 42.25 feet ³
Volume of the box = 42.25 cubic foot
What is the circumference?
(radius = 4)
Answer:
25.13
Step-by-step explanation:
C = 2πr
C = 2π(4)
C = 25.13
Hope this helps!
Name all asymptotes: y =x−3/2x+8
Answer:
x=0
y= x + 8
Step-by-step explanation:
find the oblique asymptotes using long polynomial divison
Help!!!
Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.
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Answer:
no iterations shown; the root is approximately -1.12911
Step-by-step explanation:
If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...
-1.5, -1.25, -1.125, -1.1875, -1.15625
__
If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...
-1.1905079, -1.1309053, -1.1291151, -1.1291135
Another iteration confirms this last value is accurate to 8 significant figures.
Answer:
-5/4
-9/8
-19/16
Step-by-step explanation:
This is the answer given
vectors
p=(4,3) and q=(-2,7), find 4p -2q
Answer:
(20, -2)
Step-by-step explanation:
Given the coordinate vectors p=(4,3) and q=(-2,7),
4p - 2q = 4(4, 3)- 2(-2, 7)
4p - 2q = (16, 12) - (-4, 14)
4p - 2q = (16+4, 12-14)
4p - 2q =(20, -2)
hence the required vector is (20, -2)
10. Find the total surface area of the triangular prism
shown below.
Answer:
I think its 132.
The total surface area of the triangular prism is 200 cm².
Triangular prism surface areaSurface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
How to find the surface area of the triangular prism?First, find the height of the prism.
Let h is the height of the prism
Use the pythagoras theorem
then
5² = (6/2)² + h²
5² = 3² + h²
25 = 9 + h²
h² = 25 - 9
h² = 16
h =4
Now apply the surface area formula
total surface area = ( 5 + 5 + 6) 11 + 6×4
= 16 × 11 + 24
= 176 +24
= 200 cm²
Hence the surface area is 200 cm²
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the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
PLS HELP ASAP thx>3
In a certain Algebra 2 class of 26 students, 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.
Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).
Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]
Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:
[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]
If APML - ATRO, find QR.
P
35
T
.
14
14
و - r
R
The value of QR in the triangle is 16 units
What is congruent triangle?Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent
The question states that ΔPML≅ΔTRQ
This implies that ML/QR = PM/TR
⇒(7x-9)/2x+2 = 35/14
Cross and multiplying we have
14(7x-9) = 35(2x+2)
=98x-126 = 70x +70
98x-70x = 70+126
⇒28x = 196
Making x the subject of the formula
x= 196/28 = 7
Recall that the side QR = 2x+2
Then by substitution,
2(7) +2
14+2 =16
This therefore keeps the side QR as 16 units.
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The graph of a logarithmic function is shown below.
What is the domain of the function?
Find the slope of a line that passes through the points (7, -2) and (-4, 5).
Answer:
-11/7
Step-by-step explanation:
y1-y2/x1-x2
7-(-4)/-2-5
11/-7
Answer:
-7/11
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-2) / -4 - 7
= 7 / -11
= -7/11
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
It would be the fourth one
Step-by-step explanation:
Please help me with this question…. I mnot getting it…..best answer with step by step explanation will get brainliest answer.
Answer:
[tex]49^{\frac{7}{2} }*81^{\frac{-1}{4} }*49^{\frac{5}{2}} \div343^{ \frac{-1}{3}}\\\\(7^2)^{\frac{7}{2} }*(3^4)^{\frac{-1}{4} }*(7^2)^{\frac{5}{2}} \div(7^3)^{ \frac{-1}{3}}\\\\7^7*3^{-1}*7^5 \div 7^{-1}\\\\7^{12} * 3^{-1} *7^1\\\\7^{13}*3^{-1}[/tex]