[tex]\huge\mathtt\colorbox{white}{D}[/tex]
By definition, two vectors are equal if and only if they have the same magnitude in the same direction.
[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]
[tex]\frac{1}{1+\sqrt{2} } +\frac{1}{\sqrt{2} +\sqrt{3} } +...+\frac{1}{\sqrt{99} +\sqrt{100} }[/tex]
Answer:
9
Step-by-step explanation:
the given expression can be re-written:
[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]
then
[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]
Help in this as well
Answer:
b 321 and 322
Step-by-step explanation:
because 321.5 is between 321 and 322
Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B
What is the 10-digit combination to Luke's bicycle lock?
this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you
9514 1404 393
Answer:
lock code: 3709528614
Step-by-step explanation:
Given:
3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = JFind:
single digit corresponding to each letter
Solution:
CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).
K must be 2, because H×K = B = H×2. (K = 2)
The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)
CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)
2H = B, so B = 8. (B = 8)
D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)
K×F = J = 2×3. (J = 6)
At this point, the only unassigned digits are 0 and 5.
H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)
The sum E+15 = A+10 can also be used to assign values to A and E.
__
Then the letters corresponding to the digits 0-9 are ...
[tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]
The bicycle lock code is 3709528614.
express 5^20 as a power of 25
The expression of 5^20 as a power of 25 can be written as 25^10.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We need to express 5^20 as a power of 25
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" means this statement might change from text to text slightly.
Thus, 5^20 can be written as ;
(5^2)^10 = 25^10
Therefore, the expression of 5^20 as a power of 25 can be written as 25^10.
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HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
2 option
Step-by-step explanation:
mark me as brainliest
Answer:
Oh Im so Sorry But U Can Do It
The function y=-4x + 150 models the
amount of water in a fish tank over time.
y represents the amount of water left in
the tank in gallons. x represents the time
in minutes.
Part A: What does the slope of the
function's graph represent? What does
the y-intercept of the function's graph
represent?
Explain your reasoning.
Part B: After how many minutes will the
tank be empty? Explain your reasoning.
Answer:
Step-by-step explanation:
The equation y = -4x + 150 is telling us the gallons of water reaming (y) after x minutes. The -4 slope represents the rate water is leaving the tank. In this case, it is 4 gallons per mijnute. It is negative since it is leaving the tank. The y-intercept, 150, is the water volume at time 0 minutes, the start. If you only filled it with 75 gallons and then left, the equation would be y=-4x + 40. If you accidently left a valve open, the slope would have a greater negative value (e.g., -10). There is also an equation if your boss see the empty tank: Y = 4590x^9 + 15, where Y is yell ferocity and x is the hours worked that day. 15 is the initial attitude at the start of the day.
Factor the algebraic expression.
7x+637x+63
Answer: 7 ( 92 x + 9 )
You have to find the greatest common number
First add the like terms (x) 7x+637x= 644
Then you know that 7 is the greatest common faxtor for 644 and 63
So that is how you get your answer 7(92x+9)
Step-by-step explanation:
I hope this helps!
If you are having a tough time with math you can use:
khan academy
math nation
solve for x
a) 30
b)45
c) 60
d) 90
evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3
Answer:
Step-by-step explanation:
x = 8 ; y = 5/3
[tex]3z = \dfrac{5}{3}[/tex]
[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]
Solve the math problem
Thats too many questions mam Step-by-step explanation:
What is the slope and y intercept I’m really new to this and need help
Answer:
The y intercept is -1 and the slope is 4/1
Step-by-step explanation:
When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.
The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.
I hope this helps :)
Which describes the range of the function?
Mr. Garcia wants to package 16 math books and
20 science books into boxes. Each box will have the
same number of each type of book, with none left
over. What is the greatest number of books he can
put in each box? How many boxes are needed?
Answer:
four boxes are needed, greatest number 9??
Step-by-step explanation:
16 math and 20 science
4 5
4 5
4 5
4 5
you can divide both by 4
hope that helps
What is 26-(-35)? Explain your reasoning
[tex]26 - ( - 35) \\ = 26 + 35 \\ = 61[/tex]
Reasoning :-
- & - together will give you +
Hey there!
GUIDES FOR YOU TO FOLLOW FOR FUTURE PURPOSES.
Guide #1:
• Double [negatives] equals _positive_
• Double [positives] equals _positive_
• 1 [negative] & 1 [positive] equal(s) _negative_
• 1 [positive] & 1 [negative] equal(s) _negative_
Guide #2:
• Positives are on the RIGHT side of the number line
• Negatives are on the LEFT side of the number line
Guide #3:
• Negatives are BELOW 0
• Positives are ABOVE 0
Guide #4:
• When you’re only working with negatives you go down certain spaces because they are below 0
• When you’re only working with positives you too up certain spaces because they are above zero
And etc.
SOLVING FOR YOUR ANSWER
26 - (-35)
= 26 + 35
= 61
Therefore, your answer should be: 61
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The difference between 13 and a number is 4 more than twice the number
Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
∴ the number is 3if m<4= 86° what are the measures of the other seven angles in the figure
Answer:
below
Step-by-step explanation:
IF l₁ and l₂ are parallel, then:
Angles 2, 4, 5, 8 all equal 86 degrees
Then angles 1, 6, 3 , 8 all equal 180 - 86 which is 94 degrees
evaluate: 5/6 + 4/9 =___?
Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
- List down their multiples
The multiples of 6 = 6 12 18 24
The multiples of 9 = 9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
List down their multiples
The multiple of 6
6 12 18 24
The multiple of 9
9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
- Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
- Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
ANYBODY WHO ANSWERS THIS QUESTION CORRECTLY WILL GET 40 POINTS. THE ONES IN GREY ARE THE ANSWER OPTIONS.
Answer:
140 students are in the school
Step-by-step explanation:
According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140
So there were 140 students in the school.
Answer:
70*2 = 140
Step-by-step explanation:
if half is 70, then 100% is 70*2 = 140
a standard deck of 52 playing cards is placed facedown on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value
The required number of picks that will be made for the same value is 26.
Given that,
A standard deck of 52 playing cards is placed face down on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
A card deck consists of 52 cards, and the deck has 4 number of cards of the same number but different families, which implies the number of 4 equivalents cards in the deck is 13 (Since 52 / 4).
According to the question number of the pair is to be determined that has the same value,
Total number of pairs = 2 * 13 = 26
Thus, the required number of picks that will be made for the same value is 26.
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anthony uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he mane with 1 pint of lemon juice
Answer:
Therefore, he can make 2 batches of lemonade with 1pint of lemon juice
Anthony can make 2 batches of lemonade with 1 pint of lemon juice.
In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.
Step 1: Convert Pints to Fluid Ounces
Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.
1 pint = 16 fluid ounces
Step 2: Calculate Batches
Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.
Number of batches = Total fluid ounces / Fluid ounces per batch
Substitute the values:
Number of batches = 16 fluid ounces / 8 fluid ounces per batch
Number of batches = 2 batches
Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.
This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.
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Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism
Answer:
I don't have answer but To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units
Answer:
The volume of this rectangular prism is 90.
Step-by-step explanation:
V = L * W * H
V = 6 * 3 * 5
re! Σ 209 A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus was 60 mph. The speed of the truck was 45 mph. It took kids 3 hours to reach the camp. How long did they have to wait for their bags?
HELP 20 POINTS Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.
Answer: A
Step-by-step explanation:
Equation of a line passing through the point ( -2 ,-4 ) is:
Answer:
Step-by-step explanation:
its a linear line so using the equation y=mx+c it can be determined that y=-4 when x=-2.
gradient (m) is -2 and c is -4
so that means y=-2x-4
What is the 50th term of the linear sequence below? 27 , 25 , 23 , 21 , 19
Answer:
-73 sorry if im wrong
Step-by-step explanation:
find nth term but replace n with 50 equation is -2n+27
Jesse worked at the pool all summer and saved $500. Her parents want her to put the money into a bank account, where she would earn 2% simple interest monthly on her principal deposit of $500.
How much will she make in interest?
Given m and n find the value of X AND Y
Answer:
x=23 & y=129
Step-by-step explanation:
(5x+14)°+(3x-18)°=180°
5x+14°+3x-18°=180
8x-4°=180°
x=180+4/8
x=184/8
x=23
(3x-18)°=3×23°-18°=51°
(5x+14)°=5×23+14=129°
y+(3x-18)°=180°
y+51°=180°
y=180°-51°
y=129°
:)
2/3x=4
Group of answer choices
a. x= 8
b. x= 6
c. x = 8/3
Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is 0
many days will you withdraw $2? Show your work
can anybody answer this? 3/5 x 25
Answer:
15
Step-by-step explanation:
Answer:
15
The answer is 15 (if 3/5 is a fraction)