Answer:
2^1 ? 10^x
Step-by-step explanation:
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To write the number 1 as a power with base 2,
We can use the following formula:
[tex]2^0[/tex] = 1
Therefore,
1 can be written as [tex]2^0[/tex].
To write the number 1 as a power with base 10, we can use the following formula:
[tex]10^0[/tex] = 1
Therefore,
1 can be written as [tex]10^0[/tex].
Thus,
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
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The diagonals of quadrilateral ABCD
intersect at E
. If EC=4, BD=12, AE=x,
and BE=y
, what values of x
and y
would prove that the quadrilateral is a parallelogram?
Answer:
Step-by-step explanation:
16 ae =x
The values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
Find the diagram attached. In order to prove that the quadrilateral is a parallelogram, we need to find the values of x and y that make the diagram a parallelogram.
From the parallelogram;
AE = EC and BE = EDBD = BE + EDAC = AE + ECGiven the following parameters
EC=4,
BD=12,
Since AE = EC, hence the measure of AE is 4.
Similarly, BD = BE + ED
BD = BE + BE
BD = 2BE
12 = 2BE
BE = 6 = y
Hence the values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
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The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean. What is the variance of the data set?
Answer:
D.16
Step-by-step explanation:
took the Unit test 100%
Answer:
D
Step-by-step explanation:
At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?
Answer:the runner up ate 3.5 slices
Step-by-step explanation:
You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.
Answer:
47.3feet
Step-by-step explanation:
The set up will give a right angled triangle.
The distance of the dog away from the cliff = 130 feet = adjacent side
Angle of depression = 20°
Height of the cliff = Opposite = x
Using the SOH, CAH, TOA trigonometry identity;
According to TOA;
tan theta = opposite/adjacent
tan 20 = x/130
Cross multiply;
x = 130tan20
x = 130(0.3639)
x = 47.3 feet
Hence the height of the cliff to the nearest tenth is 47.3feet
Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48
Answer:
C. 8√3
Step-by-step explanation:
Please mark me as brainlest!
Thanks!
48√2 in the simplest form of the expression √192.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the √192 by factoring it into its prime factors:
192 = 2 × 2 × 2 × 2 × 2 × 3 × 3
Then, we can group the prime factors into pairs of two:
192 = (2 × 2) × (2 × 2) × (2 × 3) × 3
Simplifying each pair of factors under the square root gives:
[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]
Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:
[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]
Therefore,
48√2 in the simplest form of the expression √192.
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Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?
Answer:
4.8 smaller pieces
Step-by-step explanation:
Total length of wood = 3.6 feet
Length of each piece = 0.75 feet
How many smaller pieces will they be able to make?
Number of smaller pieces of wood = Total length of wood / Length of each piece
= 3.6 feet / 0.75 feet
= 4.8 smaller pieces
Number of smaller pieces of wood = 4.8
It cost Kennedy $25.09 to send 193 text messages. How much does it cost to send one text?
Answer:
$0.13
Step-by-step explanation:
$25.09/193 = $0.13
Total Cost/Number of messages = Cost of each message
The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.
Answer: [tex]1706.67 feet[/tex]
Step-by-step explanation:
Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.
Steps: Multiply
Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
= [tex]\frac{1}{3} * 16^{2} * 20[/tex]
= [tex]1706.67 feet[/tex]
~I hope I helped you :)~
I'd love some help with this, and I'll mark brainliest! :))
Answer:
He will work out for a total of 2,835 min or 47.25 hours
He will not meet his minimum workout time for the18 week period
Step-by-step explanation:
The pattern is tat he adds 15 min each week to his work out regime:
Wk1: 30min Wk11:180min
Wk2: 45 min Wk12: 195in
Wk 3: 60 min Wk 13:210min
WK4: 75min Wk 14: 225 min
Wk5 90 min Wk15: 240min
Wk6: 105 min Wk16: 255 min
Wk7; 120min Wk17: 270min
Wk8: 135min Wk 18: 285min For a total of 2,835 min and divide by
60 to get the number of hours= 47.25 hours
Wk9: 150min
Wk 10: 165 min
What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?
Enter your answer in the box.
Answer:
y=3/4x-3
Step-by-step explanation:
Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.
To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps
Jeremy needs an extra 2 dozen cookies in addition to the 4 dozen (48) that the recipe makes. He says to himself "If I just add 2 to the amount of each ingredient, that will be how much I need."
Is Jeremy correct? Explain why or why not.
Answer:
yes
Step-by-step explanation: because it's 1 1/2 times the recipe
Need help with this fast
Answer:
the second diver is the deepest
Step-by-step explanation:
45 is better than 36
Does anybody have an answer to this? BE QUICK PLEASE!
Answer:
6
Step-by-step explanation:
4.5 dived by 3/4 equals 6
what is 6+ 4 - 2 first to answer gets brainlist
Answer:
8
Step-by-step explanation:
Answer:8
Step-by-step explanation:
If AABC = ADEF, which segment is congruent to AC?
Answer:
Segment DF
Step-by-step explanation:
The corresponding vertices are in the same order in both triangles.
ABC
DEF
Segment AC is congruent to segment DF.
Can someone pls help me
Answer: x = 7
Step-by-step explanation:
7x+9=58
8x+2=58
These are congruent angles so they are the same value.
Find the area of a circle with a circumference of \blueD{18.84}18.84start color #11accd, 18, point, 84, end color #11accd units.
Answer:
28.26 u²
Step-by-step explanation:
What we know:
A circle has a circumference of 18.84 u.
That means the diameter is 6, and the radius is 3.
The area of a circle can be found with: πr²
3.14(3²)
3.14(9)
28.26 u²
The area of the circle is 28.26 square units when the circumference of circle is 18.84 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of the circle is 18.84 units
We have to find the area of circle
To find area we need to know the radius
Circumference of circle = 2πr
18.84 = 2πr
18.84 = 2×3.14 r
18.84=6.28 r
Divide both sides by 6.28
r=18.84/6.28
r=3
Now let us find area
Area = πr²
=3.14×3²
=9×3.14
=28.26 square units
Hence, the area of the circle is 28.26 square units when the circumference of circle is 18.84 units.
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Solve the following equation for x:
-3 (x - 4)+ 24x = 4(5 – 2)+7x
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0).
Answer:
Where are the statements to choose from??
Answer:
The graph is a function of x because the line y = 5 does not intersect the graph
Step-by-step explanation:
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min
Answer:
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
Step-by-step explanation:
hope its helps u...☺️✌️✌️
Answer:
13 degrees
Step-by-step explanation:
12- [3 - (13) * 2]
I need work shown
Answer:
35
Step-by-step explanation:
Answer:
12−(3−(13)(2))
=12−(3−26)
=12−(−23)
=35
Step-by-step explanation:
Please help 10 pts given
Answer:
6.50 per mile
Step-by-step explanation:
5^2 + [15-4(3 1/5)] -15.4
And you have to show your work Bc the dang teacher is strict
Answer:
I think the answer is 11.8
Step-by-step explanation:
25+ [ 15- 4 x 16/5] - 15.4
25 +[ 15- 4/1 x 16/5] - 15.4
25+ [ 15 - 20/5 x 16/5] - 15.4
25 +[ 15 - 64/5] - 15.4
25+ [ 15/1 - 64/5] - 15.4
25+ [75/5 - 64/5] - 15.4
25+ 11/5 - 15.4
25+ 2.2 - 15.4
27.2 - 15.4
11.8
Please help due IN MY CLASS TODAY
Answer:
A. 3,4. E. Origin or 0,0 D. 6,-3
C. -2,-4 B. -3, 2
Step-by-step explanation:
Just go from x to y and I did this last year :p
PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450
Answer:
b
Step-by-step explanation:
Easy points if u know it
Answer:
True
Step-by-step explanation:
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide both sides by 5
x = 3
Plug this number into the next equation and see if it is true
10x + 4 = 34
10(3) + 4 = 34
30 + 4 = 34
34 = 34
This is a true equation, so the the answer is true.
Answer:
True
Step-by-step explanation:
⇒ This is true because the whole equation 10x + 4 = 34 is 2 times more than the other equation 5x + 2 = 17.
⇒ You can see that by multiplying the whole equation 5x + 2 = 17 by 2:
2(5x + 2 = 17)
⇒ To get:
10x + 4 = 34
So both equations are equivalent, which means that the answer is true.
Hope this helps! :)
PLEASE HELP
9 increased by the product of 4 and v
Answer:
4v + 9 or 9 + 4v
Step-by-step explanation:
increased means plus
the product of is multiplication
im too tired to explain annything else
gn bro
Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom
Answer: 64 square feet
Step-by-step explanation:
Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.
What is the probability, to the nearest hundredth, that A and B occur?
Answer:
0.43* 0.35 = 0.1505 or 0.15 after rounding
Step-by-step explanation:
Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.
What is the probability that both A and B occur?This can be found by the formula:
= Probability that A occurs if B occurs x Probability of B occurring if A occurs
Solving gives:
= 0.43 x 0.35
= 0.15
In conclusion, the probability is 0.15.
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