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.
Convert
[−1,∞) to inequality notation use the variable x.
Answer:
[tex]-1\leq x<\infty[/tex]
Step-by-step explanation:
We want to convert the interval [-1, ∞) to inequality notation using x as the variable.
The interval [-1, ∞) reads: "All real numbers between -1 and positive infinity."
In other words, it is all numbers greater than or equal to -1 and less than positive infinity.
Therefore:
[tex]-1\leq x<\infty[/tex]
Note that we do not use "or equal to" for the infinity as we can never really "equal" infinity.
help please what is the median
Answer:
The median is 9
Step-by-step explanation:
The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
what is 888 + 48 ? pleaaaase
Find each measure
Please help me
Answer:
11:90
12: 90
13: 90
14:90
15:180
16: 135
17:225
Step-by-step explanation:
I don't know if this is entirely true but I hope it helps
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Answer:
√65
Step-by-step explanation:
The distance formula can be represented as
[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]
Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have
[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]
as our answer
Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45
The inequality that represents the statement on the number of marbles that the students have is 5x < 45.
What inequality represents the situation?The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x
This total is less than 45 however so the inequality will be:
(5 × x ) < 45
5x < 45
Find out more on inequalities at https://brainly.com/question/2501321.
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Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3
Answer:
volume of the sphere=4/3πr³
=4/3×3×2³
=32 feet³
Answer:
32 ft³
Step-by-step explanation:
Hi there!
[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius
Plug in the given radius, 2 ft
[tex]V=\frac{4}{3} \pi (2)^3[/tex]
Plug in the given value of π, 3
[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]
Therefore, the volume of the sphere is 32 ft³.
I hope this helps!
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
Find f(-3) if f(x) = x^2
6
-9
9
-6
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
Squares of Binomials
Please Help
For 12-15, find the missing measures
Answer:
12. d= 14, C=14π, A=49π
13. r= 13, d=26, A=169π
14. r=9, C=18π, A=81π
15. r=10, d=20, C=20π
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: [tex]\frac{33}{65}[/tex]
Step-by-step explanation:
cosine of ∠T = [tex]\frac{adjacent}{hypotenuse}[/tex]
For ∠T,
Adjacent side = 33Hypotenuse = 65cosine of ∠T = [tex]\frac{33}{65}[/tex]
The value of the trigonometric relation cos ∠T = 0.507
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔTUV
where the measure of ∠UVT = 90°
And , the measure of side UT = 65 units
The measure of VU = 56 units
And , the measure of TV = 33 units
From the trigonometric relations ,
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ∠T = TV / UT
cos ∠T = 33 / 65
cos ∠T = 0.50769
Hence , the trigonometric relation is solved
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How do you calculate 3x-9y?
Answer: 3(x-3y)
Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)
A group of friends wants to go to the amusement park. They have no more than $365 to spend on parking and admission. Parking is $16.25, and tickets cost $38.75 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Inequality: [tex] 38.75p + 16.25 \le 365 [/tex]
Solution: [tex] p \le 9 [/tex]
Step-by-step explanation:
Let p = number of people.
Ticket for 1 person: $38.75
Tickets for n people: 38.75p
Parking: $16.25
[tex] 38.75p + 16.25 \le 365 [/tex]
[tex] 38.75p \le 348.75 [/tex]
[tex] p \le 9 [/tex]
Answer
380≥20.75p+15.5
Step-by-step explanation:
good luck
The Red Line Below is Parallel To which of the following?
A. The x-axis
B. The origin
C. the y-axis
D. None of those
Answer:
C. y axis
Step-by-step explanation:
y axis is the answer
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?
Answer:
42
Step-by-step explanation:
1. PerimeterPerimeter is [tex]2l+2w[/tex]
2. Solving[tex]2(15)+2(6)=30+12=42[/tex]Answer: 42
Hope this helped! Please mark brainliest :)
In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?
Answer:
[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]
8 pupils like football
[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]
6 pupils like basketball
[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]
9 pupils like athletics
and how many liked swimming?
8 + 9 + 6 = 23 pupils
24-23 = 1 pupils liked swimming
GOOD LUCK ツ
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6
Answer:
the answer is D
Answer:
D. - 5n - 6
Step-by-step explanation:
- 4 ( n + 1 ) - ( n + 2 )
= - 4n - 4 - n - 2
= - 4n - n - 4 - 2
= - 5n - 6
Can somebody help me please?!!
Answer:
Step-by-step explanation:
subtract 111 from 11010
Answer : I think it is 10899
someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
1+1+1+5+1+1+4+5+10+1LL pop
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
Rewrite the following expression.
A.
B.
C.
D.
Answer:
da
Step-by-step explanation:
2x+y=8
x+y=4
Where do they intersect at?
Answer:
[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]
Graph this function: y= -5/3x+6
Answer:
(0,6) and (3,1)
Step-by-step explanation:
The equation is already in slope intercept form.
y = mx + b
Since the y-intercept is '6', the first point would be (0, 6).
-----------------------------------
We can move three units to the right and 5 units down to get our second point, (3,1).
Note that slope is rise over run.
(0 + 3, 6 - 5) - > (3, 1).
The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.
Hope this helps.
Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
[Part A] a histogram
A histogram would best represent the range of the scores by quartiles.
A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.
Using this information, we can decide that a histogram is probably our best choice.
[Part B] see attached
First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.
Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.
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