Note: Consider the given figure attached with this question.
Given:
The expression is:
[tex]2^5\times 2^4[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]2^5\times 2^4[/tex]
It can be written as:
[tex]2^5\times 2^4=2^{5+4}[/tex]
[tex]2^5\times 2^4=2^{9}[/tex]
So, option A is correct and option B is incorrect.
Similarly, in options C, D, E,
[tex]2\cdot 2^9=2^{10}[/tex]
[tex]2^{10}\cdot 2^2=2^{12}[/tex]
[tex]2^{-2}\cdot 2^{11}=2^{9}[/tex]
So, options C and D are incorrect but option E is correct.
The given expression can be written as:
[tex](2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)[/tex]
So, option F is correct.
Therefore, the correct options are A, E F.
find the area of the trapezoid. helppppopop thank you
Answer:
[tex]\frac{4}{3}\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by multiplying the average of its bases and its height.
We're given:
One base of 4 cmOne base of 12 cmHeight of 1/6 cmTo find the average of a set of [tex]n[/tex] values, add all the values in the set and divide by [tex]n[/tex]. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.
The average of the bases is therefore [tex]\frac{4+12}{2}=\frac{16}{2}=8[/tex]
Thus, the area of the trapezoid is [tex]8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}[/tex]
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.
Answer:
Hey, could you please add the number line to the question too
The question is in the image
Answer:
h(t) = -5*t^2 + 20*t + 2
Step-by-step explanation:
First, we know that the motion equation of the ball will be quadratic, so we write the equation:
h(t) = a*t^2 + b*t + c
Now we need to work with the data in the table.
h(1) = 17
h(3) = 17
h(1) = h(2) = 17
Then we have a symmetry around:
(3 - 1)/2 + 1 = 2
Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:
(2, h(2)) = (2, 22)
Remember that for a quadratic equation:
y = a*x^2 + b*x + c
with a vertex (h, k)
we can rewrite our function as:
y = a*(x - h)^2 + k
So in this case, we can rewrite our function as:
h(t) = a*(t - 2)^2 + 22
To find the value of a, notice the first point in the table:
(0, 2)
then we have:
h(0) = 2 = a*(0 - 2)^2 + 22
= 2 = a*(-2)^2 + 22
2 = a*(4) + 22
2 - 22 = a*(4)
-20/4 = -5 = a
Then our function is:
h(t) = -5*(t - 2)^2 + 22
Now we just expand it:
h(t) = -5*(t^2 - 4*t + 4) + 22
h(t) = -5*t^2 + 20*t + 2
The correct option is the first one.
Whose solution strategy would work?
Answer:
1452628383763637£838
Answer:
B
Step-by-step explanation:
Use the drop-down menus to choose the correct locations on the number line.
Point B is located at
The two points that are opposite are
>
Point D is located at
v is one tick mark to the left of point A.
Answer:
i) Point B is located at 0.
ii) The two points that are opposite are 5 / 5 and 10 / -5 and 5 / 5, 10 and -5, -10.
iii) Point D is located at 35.
iv) -20 is one tick mark to the left of point A.
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
simplify 18÷3x2+1 please
Answer:
the answer is gonna be
6x^2+1
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]
[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]
[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4. In the quadratic function y = 232 + ba + c, the
affects the width of the parabola.
Answer:
d am
Step-by-step explanation:
There are 15 chairs arranged in a row, in an auditorium. The distance between adjacent chairs is ¼ of a meter. Find the distance between the first and the last chair in the same row.
Answer:
ok so there is 1/4 of a meter between 15 chairs so
1/4*5= 1.25
so there is 1 and a quarter meter between the first and the last
Hope This Helps!!!
Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?
Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant
Answer:
Increasing
Step-by-step explanation:
Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.
Since it is moving up from the right, that means it's increasing.
The slope is positive, then the graph is increasing. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The graph is given below.
The line is passing through origin.
At x = 1, the value of y will be 3.
Then the slope will be
m = 3 / 1
m = 1
Then the equation of line will be
y = 3x
The slope is positive.
Then the graph is increasing.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?
Answer:
28units consumed in month
Step-by-step explanation:
20unit=20×3=60rs
now service charge +60rs=110
similary total paid=166
now 166-110=56
and 56/7=8unit
since total unit=28unit
A quadratic equation is shown below:
6x2 + 17x + 9 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
(10 points)
Answer:
x = -0.70,-2.212.
Step-by-step explanation:
(a) The quadratic equation is :
[tex]6x^2 + 17x + 9 = 0[/tex]
Here,
a = 6, b = 17, c = 9
Put all the values in the quadratic formula.
[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]
So, the solution of the given equation are -0.70,-2.212.
(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].
Here, a = 4, b = -4 and c = 1
So,
[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]
Hence, this is the required solution.
pleeeeaaasssseeeee help
Step-by-step explanation:
Explanation is in the attachment
n=84°p=84°q=96°v=84°w=138°hope it is helpful to you
what is the solution 2/3x+3 x=-2
Answer:
5/3 or 0.666666666667
Step-by-step explanation:
2/3*(-2)+3
5/3 or 0.666666666667 (Solved by calculator)
Jesse spends 1/2 of his pocket money on Monday.
On Tuesday, he spends 2/3 of what is left.
On Wednesday, he spends 1/4 of what remains.
What fraction of the pocket money does he have left? Choose the most
reasonable answer
Answer:
The fraction of the pocket money she left is 1/8.
Step-by-step explanation:
Let the total pocket money is p.
Spent on Monday = p/2
Amount left = p - p/2 = p/2
Spent on Tuesday = 2/3 of p/2 = p/3
Amount left = p/2 - p/3 = p/6
Spent on Wednesday = 1/4 of p/6 = p/24
Amount left = p/6 - p/24 = p/8
So, the fraction of the pocket money she left is 1/8.
Explain how you can write a quadratic function in a factored form that would have a vertex with an x-coordinate of 3 and two distant roots
Answer:
Step-by-step explanation:
(x-3)²-4=0
(x-3)²=4=2²
x-3=±2
x=3±2
x=3-2,3+2
x=1,5
it has two distinct roots and a vertex at x=3
I NEED HELP PLEASE!
Juanita and Lauren are painting a
circular mural on one wall of the
community center. The area of the
mural is 66 square meters.
what is the radius?
remember,a=pie r^2,use pie=22/7
Answer:
4.583 meters
Step-by-step explanation:
Divide 66 by pi
=21.01910828
I rounded to 21
Find the square root of 21
4.58257569...
I rounded again, to 3 decimal places
4.583
Hope it helps!
Answer:
√21 aka square root of 21
Step-by-step explanation:
The person above pretty much explained it lol
Factor 12y^2 + 5y -2 completely
Answer: (4x-1)(3x+2)
Step-by-step explanation:
do u know how to factor?
Answer: (4y - 1)(3y + 2)
Step-by-step explanation:
[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]
You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.
8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?
Hi there!
[tex]\large\boxed{h = 10km}[/tex]
We know that the equation for the volume of a pyramid is:
V = 1/3(bh)
We know that:
V = 200 km³
b = 12 × 5 = 60 km²
We can plug these into the equation:
200 = 1/3(60)(h)
Simplify:
200 = 20h
Divide both sides by 20:
200/20 = 20h/20
h = 10 km
A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room?
Answer:
The one of (L,b)= (5m, 10m) is the only correct answer.
Step-by-step explanation:
P= 2(L+b)
A= L×b
make b subject of formula in area we have;
b= A/L
in perimeter; p= 2(L +(A/L))
p= (L²+A)/L
pL= L²+A
L²-pL+A= 0
L²-30L+50=0
L²-25L-5L+50=0
L(L-25)-5(L-25)=0
(L-5)(L-25)= 0
L= 5 or 25m
substitute in A
50= 5b or 50= 25b
b= 10 or 2m
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
1/5 + 3/4 + 1/2
please helpppo asap
Answer:
29/20 or 1 9/20 or 1.45
Answer:
[tex]\frac{1}{5}+\frac{3}{4}+\frac{1}{2}[/tex]
lease common multiplier of 5,4,2 is 20
[tex]\frac{4}{20}+\frac{15}{20}+\frac{10}{20}[/tex]
[tex]Add\: 4+15+10= 29[/tex]
[tex]1/5+3/4+1/2=29/20[/tex]
[tex]Answer :\frac{29}{20}[/tex]
--------------------------
hope it helps
have a great day!!
The numerical coefficient of -2pqr
Answer: -2
Explanation: The coefficient is the number to the left of the variable.
Another example would be that 10xy has the coefficient 10.
Something like x^2 has coefficient 1 because x^2 = 1x^2.
Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle
Answer: 28.
Step-by-step explanation: Because if you times 7 and 4 you get 28.
Mr. Maynard's class is taking a field trip to a science museum. They will be at the museum for 3 hours, and they want to divide their time evenly among the 10 exhibits.
How much time should they spend at each exhibit?
Write your answer as a proper fraction or mixed number.
They have a total time of 3 hours and they equally spend at each exhibit which means that they spent 18 minutes on each exhibit.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information in the question,
Total time = 3 hours
Time in minutes = 3 × 60 = 180 minutes
They have 10 exhibits to visit.
The time spent on each exhibit is,
180/10 = 18 minutes on each exhibit.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
el jefe decidió agregar la tabla de frecuencias correspondiente a la edad de sus empleados tal Como se muestra a continuación Cuál es el promedio de edad de los empleados de la empresa
Answer:
Average employee [Mean] = 43.6
Step-by-step explanation:
Given:
Interval Number of employee
25-35 20
35-45 7
45-55 8
55-65 15
Total 50
Find:
Average employee [Mean]
Computation:
Interval X[u+l]/2 Number of employee fx
25-35 30 20 600
35-45 40 7 280
45-55 50 8 400
55-65 60 15 900
Total 50 2,180
Average employee [Mean] = Sum of fx / Sum of x
Average employee [Mean] = 2,180 / 50
Average employee [Mean] = 43.6
Answer:
aeaaa
Step-by-step explanation:
I need help in these questions please !
Answer:
b,b.a
Step-by-step explanation: