Answers
Answer:
[tex]m = \frac{5}{2} [/tex]
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]
Logarithm
• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]
[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]
[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]
[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]
[tex] = \frac{5}{2} log_{m}(2) [/tex]
Related Questions
A triangle has side lengths of 6, 8, and 10. Is it a right triangle?
Answers
Answer: Yes
Step-by-step explanation:
You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.
Answer:
YES IT IS
Step-by-step explanation:
For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).
A squared + B squared = C squared
6 squared + 8 squared = 100
Since we squared our addends, we must find the square root of 100 (which is 10)
Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.
Hope this helps you. Have a great rest of your day.
Solve for x using the Quadratic Formula: x^2 + 2x+1=0
X=-b plus or minus b2-4ac squared all over 2a
Answers
Answer:
c is the answer
Step-by-step explanation:
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answers
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
This is a grade pls help asap i need tye answer quickly.
Answers
Answer:
the first question I think yes cause the second one says that there is y line
the y intercept is 9
How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17
Answers
Answer:
D. by multiplying 58 by 0.17
[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]
CAN U HELP ME PLZ!!!! |
\/
Answers
Answer:
7.33
Step-by-step explanation:
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?
Answers
Respuesta:
a = 82; b 164
Explicación paso a paso:
a = 1 / 2b - - - (1)
a gana 66 = a + 66
b = b - 90
a = 2b
a + 66 = 2 (segundo - 90) - - - (2)
Ponga a = 1 / 2b en (2)
1 / 2b + 66 = 2 (b-90)
0.5b + 66 = 2b - 180
0.5b - 2b = - 180 - 66
-1,5b = - 246
b = 164
a = 1 / 2b
a = 1/2 * 164
a = 82
Area of triangle please help
Answers
Answer:
A= 18
Step-by-step explanation:
Answer:
18 your answer is correct
Step-by-step explanation:
12x3=36
36÷2=18
Where is the blue dot located on the number line
Answers
===================================================
Explanation:
Use the midpoint formula to find the midpoint of -10 and -4
A = -10 = left endpoint
B = -4 = right endpoint
C = midpoint of A and B
C = (A+B)/2
C = (-10+(-4))/2
C = -14/2
C = -7
The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).
Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:
move from -10 to -13move from -13 to -16move from -16 to -19The blue dot is located at -19
What is the simplest form of b/bc ??
Answers
Ans c
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?
Answers
Answer:
$0.3
Step-by-step explanation:
8.90x2=17.8
1.75x2=3.5
17.8+3.5=21.3
21.90-21.3=0.6
0.6/2=0.3
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answers
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
7 2/3+(-5 1/2)+8 3/4=?
Answers
Answer:
10.9166666667 or 10 11/12
hope this helps
have a good day :)
Step-by-step explanation:
How is 80.106 written in expanded form?
Pls answer !!
Answers
Answer:
B
Step-by-step explanation:
This is pretty self explanatory and easy..
Which of the following rational numbers lies between 1/3 and 2/3?
Answers
24/48, 20/48, 18/48, 17/48
==========================================================
Explanation:
1/3 = 0.333 approximately
2/3 = 0.667 approximately
We're looking for values between 0.333 and 0.667
We can rule out choice A because 1 doesn't fit the description.
Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667
--------------------------
Choice B works because all the decimals shown below are between 0.333 and 0.667
24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)helppppppp no links or anything, please give the answer
Answers
Answer:
Step-by-step explanation: the answer is x^2+10x+21
What is the answer and explanation
Answers
-4 1/3 < -1 3/4
Explanation:
The negative number farther away from 0 is smaller.
Answer:
- 4 1/3 < - 1 3/4
Step-by-step explanation:
The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4
If 8 bags of grapes cost $20.00, how much do 3 bags of grapes cost?
Answers
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
How much do 3 bags of grapes cost?Given that;
8 bags of grapes cost $20.00
First, we find how much each bag of grape cost
8 bags = $20.00
1 bag = x
x = $20.00 / 8
x = $2.5
Now, if 1 bag of grapes cost $2.5
3 bags of grapes will cost y
y = 3 ×$2.5
y = $7.5
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
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find the slop if the line through each pair of points (-13,1),(-16,1)
Answers
Answer:
[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]
Answer:
Slope is 0
Step-by-step explanation:
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?
Answers
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
What is the equation of a circle with center (-3, -5) and radius 4?
Answers
Answer:
The choose (A)
A- (x+3)²+(t+5)²=16
Answer:
A (x + 3)^2 + ( y + 5 )^2 = 16
Step-by-step explanation:
The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2
( h , k ) represent the coordinates
r represents the radius
Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2
2 negatives make a positive
So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16
You also need to make sure you square the radius
The sails of two boats are pictured below. What is the value of y?
Answers
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
Please help I need it in 5 minutes
Answers
i need help ill give brainliest
Answers
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
pls mark me brainliest
A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight (in kg) that can be carried by both the vehicles.
Answers
Answer:
Tempo = 7,230kg
Van = 7,770kg
Step-by-step explanation:
FOR THE TEMPO
boxes of biscuits = 482
Each weight = 15kg each
= 482 x 15kg
= 7,230kg
FOR THE VAN
boxes of biscuits = 518
as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each
= 518 x 15kg
= 7,770kg
The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answers
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
-20 integer whole number irrational or rational etc
Answers
Answer:
The number -20 is rational
Answer:
the answer is irrational!
Step-by-step explanation:
Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the weekly salary based on this annual salary?
Answers
Answer:
Weekly salary of Harold = $750 (Approx.)
Step-by-step explanation:
Given:
Annual salary of Harold = $39K = $39,000
Find:
Weekly salary of Harold
Computation:
Number of weeks in a year = 365 / 7
Number of weeks in a year = 52.1425
Number of weeks in a year = 52 week (Approx.)
Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year
Weekly salary of Harold = 39,000 / 52
Weekly salary of Harold = 750
Weekly salary of Harold = $750 (Approx.)
use the diagram to answer the question.
Answers
Answer:
Step-by-step explanation:
25+105+x=180 degree(being sum of the interior angles of a triangle)
130+x=180
x=180-130
x=50 degree
Answer:
B. 50
Step-by-step explanation:
total angle of triangle = 180⁰
hence,
25 + 105 + x = 180
x = 50
therefore ans is B. 50⁰
The Lewis dot model of an atom has three dots. Which of the following statements is true about the atom?
It has three valence electrons.
It has three innermost shell electrons.
It has three energy levels.
It has three subshells.
Answers
Lithium (At. No. = 3) has three electrons, two in the K shell and one located farther from the nucleus in the L shell.
The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.
What is a Lewis dot model?Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.
If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.
Thus, the correct option is A. It has three valence electrons regarding true about the atom.
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