Step-by-step explanation:
1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.
2. [tex]2^m{\cdot} 2^n[/tex]
The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]
So,
[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]
The correct option is (A).
3. If the power of any number is 0, then the value of that number is equal to 1.
So,
[tex]23^0=1[/tex]
Hence, this is the required solution.
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
What are the rules for subtraction and multiplication with negative numbers???
Answer:
Step-by-step explanation:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
a jar has 5 tablespoons of honey in it. One serving of Honey is 3/4 of a tablespoon. how many servings of honey are in the jar.
Servings = total amount / serving size
Servings = 5 / 3/4
When dividing by a fraction, reverse the fraction and multiply:
= 5 x 4/3
= 20/3
= 6 2/3 servings
Answer: 6 servings
Step-by-step explanation:
3/4+3/4+3/4+3/4+3/4+3/4=4.5
if you add 3/4 then it will be 5.25 so basically 5 tablespoons
it is 6 full servings
Question 2 (1 point)
Choose the correct equation. Then solve the equation. [THERE ARE
TWO CORRECT ANSWERS]
A kid has 8 more quarters than dimes. The total number of coins is 20.
a. 8 quarters 16 dimes
b. 6 dimes and 14 quarters
c. 6 quarters 14 dimes
d. d + (d + 8) = 20
e. 10 quarters and 10 dimes
f. d + 8 = 20
g. 8d = 20
Answer:
b. 6 dimes and 14 quartersd. d + (d + 8) = 20Step-by-step explanation:
If we let d represent the number of dimes, then d+8 represents the number of quarters. The total number of coins is the sum of the numbers of each:
d +(d +8) = 20 . . . . . matches choice d
Collecting terms, we have ...
2d +8 = 20
d +4 = 10 . . . . . divide by 2
d = 6 . . . . . . . . subtract 4
The kid has 6 dimes and 14 quarters. (matches choice b)
what is the equation of the tangent drawn for f(x)=x-x^2 which is parallel to the line 4x-y-3=0
plssss help me °~°
Answer:
y = 4x + 9/4
Step-by-step explanation:
4x − y − 3 = 0
y = 4x − 3
The slope of the line is 4.
The slope of the tangent line is:
f(x) = x − x²
f'(x) = 1 − 2x
Setting the slope equal to 4:
4 = 1 − 2x
2x = -3
x = -3/2
The point on f(x) is:
f(-3/2) = -3/2 − (-3/2)²
f(-3/2) = -3/2 − 9/4
f(-3/2) = -15/4
Using point-slope form:
y − (-15/4) = 4 (x − (-3/2))
y + 15/4 = 4 (x + 3/2)
y + 15/4 = 4x + 6
y = 4x + 9/4
you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
Step-by-step explanation:
A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.
Answer: The Answer is N = 5
Step-by-step explanation:
The reason is that 76 + n and 2n + 26. 5 can work for both of them. 76 + 5 = 81 which is a rational number and 2 * 5 + 26 = 36 which is also a rational number.
Simplify:
3x(2y+5)-2y(3x-5)-5(3x+2).
The final result contains how many terms?
Answer:
10y-10
Step-by-step explanation:
2 terms
*PLEASE HELP
Type your response in the box.
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A. What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?
Answer:
The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.
Answer:
The point of intersection of the two lines is (6, 8). The x-value means that the two asteroids will collide in 6 days. The y-value means that they will collide 8 million miles away from where asteroid A is now located.
Step-by-step explanation:
Exact answer from edmentum.
can you guys please solve it needed asap
-16 + 13n = -8 - 5n
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
Firstly we have to take variables to L.H.S and numbers to R.H.S
[tex]13n + 5n = - 8 + 16 \\ 18n = 8 \\ n = \frac{8}{18} \\ n = \frac{4}{9} [/tex]
Hope it helps
What is the HCF used prime factorization method of 84 and 98
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Prime Factor of 84:
84
84 divides by 2 84 = 42 x 2
84 = 2 x 42
42 divides by 2 42 = 21 x 2
42 = 2 x 2 x 21
21 divides by 3 21 = 7 x 3
21 = 2 x 2 x 3 x 7
2, 3, 7 is a prime number, therefore no further factorization is possible = 2 x 2 x 3 x 7
~~~~~~~~~~~~~~~~~~~~~~
Prime Factor of 98:
98
98 divides by 2 98 = 49 x 2
98 = 2 x 49
49 divides by 7 49 = 7 x 7
49 = 2 x 7 x 7
2, 7 is a prime number, therefore no further factorization is possible = 2 x 7 x 7
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Solve for x: two thirds plus one third times x equals two times x
Answer: x = 2/5 in fraction form
In decimal form, the answer is x = 0.4
====================================================
Work Shown:
2/3 = two thirds
2/3 + (1/3)x = 2x is the equation you're given
Multiply every term by 3 so that we clear out the fractions
3*(2/3) + 3*(1/3)x = 3*2x
2 + x = 6x
From here, we solve for x
2 + x = 6x
2+x-x = 6x-x .... subtract x from both sides
2 = 5x
5x = 2
5x/5 = 2/5 ... divide both sides by 5
x = 2/5
x = 0.4
The solution of the expression is,
⇒ x = 0.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''Two thirds plus one third times x equals two times x.''
Now, We can simplify as;
⇒ 2/3 + 1/3x = 2x
Solve for x as;
⇒ 2/3 = 2x - 1/3x
⇒ 2/3 = 5x/3
⇒ 2 = 5x
⇒ x = 2/5
⇒ x = 0.4
Thus, The solution of the expression is,
⇒ x = 0.4
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Me ajudem por favor: 3x+30=80
0.06 es la repuesta
Step-by-step explanation:
Aqui esta como lo podias aser:
1. 3x + 30=80
-30. -30
3x=50
÷3. ÷3
Necesitas que divinir 50 en 3
3(0.06) + 30=80 x=0.06
2. Change the units of the following speeds as indicated:
a) 72 km/h into m/s
b) 108 km/h into m/s
Answer:
Hey there!
Using conversion factors we get-
72 km/h=20 m/s
108 km/h=30 m/s
Let me know if this helps :)
Directions: Complete each proof using the properties of equality. Not all rows be used.
The answers for 13 and 14 are attached in the file.
The value of y from the given equation is 8. Hence, proved.
The given equation is (2y-1)/(-3) = -5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
12. (2y-1)/(-3) = -5
⇒ 2y-1=15 (Cross multiply -3 to -5)
⇒ 2y=16 (Transpose -1 to RHS)
⇒ y=8 (Transpose 2 to RHS)
13. 2x+30=-4(5x-2)
⇒ 2x+30=-20x+8 (Multiply -4 into the bracket)
⇒ 2x+20x=8-30 (Transpose like terms LHS and constant terms to RHS)
⇒ 22x=-22
⇒ x=-1 (Transpose 22 to RHS)
14. 18x-2(3x+1)=5x-16
⇒ 18x-6x-2=5x-16 (Multiply -2 into the bracket)
⇒ 12x-2=5x-16 (Subtract like terms on LHS)
⇒ 12x-5x=-16+2 (Transpose like terms LHS and constant terms to RHS)
⇒ 7x=-14
⇒ x=-2 (Transpose 7 to RHS)
The value of y from the given equation is 8. Hence, proved.
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when y=6 and x=8 x+9y
Answer:
44
Step-by-step explanation:
You plug in both numbers for the corresponding letters
which graph shows a linear function?
Answer:
Step-by-step explanation:
You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.
Please go back to the source of your question and describe the other graphs that were given to you.
The graph that shows a straight line is the linear function.
a recipe for chocolate chip cookies calls for 1 1/4 cups of flour. if you are making 2 1/3 recipes, how many cups of flour are needed?
Answer:
2 11/12 cups of flour
Step-by-step explanation:
well 2 recipes is 2 1/2 cups of flour
1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12
so 2 11/12 cups of flour
(x+2)(x+4) = x²+6x+8 show the steps
Answer:
(x+2)(x+4)=x^2+6x+8
Step-by-step explanation:
first you foil (x+2)(x+4) and you get x^2, 2x+4x+8
then combine like terms and you get x^2+6x+8
Answer:
(x+2)(x+4) = x*x + x*4 + 2*x + 2*4
= x² + 4x + 2x + 8
= x² + 6x + 8
The line plot below shows the distances of discus throws in a contest.
What was the distance of the shortest throw?
Discus Throw Distances in Meters
30 31 32 33 34 35 36 37 38 39 40 42 44 45 46 47 48 49 50
A 30 meters
B. 35 meters
40 meters
D. 50 meters
3. Travis gets a job which pays $22.50/h. Samantha
gets a job that starts at $0.01/h and doubles every
day. How long will it take before Samantha makes
more per hour than Travis?
a. 12 hours
b. 12 days
C. Samantha will never make more than Travis
d. 6 months
Answer: 12 days
Step-by-step explanation:
1.-40/2 D
(10 Points)
N
W
Z
R
Answer:
-40/2 is equal to -20
Step-by-step explanation:
still dont kno what n w z r means
Combine like term: 7x+2y+9x+9
Answer:
16x +2y +9
Step-by-step explanation:
I hope this helps. Just combine the numbers with the same Variable/letter. That's why only 7x and 9x were combined together
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Identity Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition Addition Property of Equality Distributive Property
Answer:
Inverse property of multiplication
Step-by-step explanation:
can you answer this
Answer:
3 square fhfhfjshxfjkzkdjzhx h2jxfjwjznnznzn
3(y+5)=8y
Solving linear equations
Answer:
y = 3
Step-by-step explanation:
To solve this equation, we will use conventional algebraic techniques as illustrated below.
3(y + 5) = 8y Distribute the 3.
3y + 15 = 8y Subtract 3y from both sides.
15 = 5y Rearrange the equation so the variable is on the left.
5y = 15 Divide by 5 on both sides.
y = 3
Answer:
y =3Step-by-step explanation:
[tex]3\left(y+5\right)=8y\\[/tex]
Expand
[tex]\mathrm{Expand\:}3\left(y+5\right):\quad 3y+15\\\\=3y+15=8y[/tex]
Subtract 15 from both sides
[tex]3y+15-15=8y-15[/tex]
Simplify
[tex]3y=8y-15[/tex]
Subtract 8y from both sides
[tex]3y-8y=8y-15-8y[/tex]
Simplify
[tex]-5y=-15[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-15}{-5}[/tex]
Simplify
[tex]y =3[/tex]
write exponent and bases of (-5)raise to power7 and (-9/7)raise to power6
Answer:
The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.
Step-by-step explanation:
Answer:
The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.
Step-by-step explanation:
What is h-(-5)=2? And how do you solve it?
Answer:
It is an equation, and the answer is [tex]h = -3[/tex]
Step-by-step explanation:
We have a variable that's equal to a term, so this is an equation.
To solve this, we want to isolate h on one side.
[tex]h - (-5) = 2[/tex]
Subtracting a negative is the same thing as adding a positive:
[tex]h + 5 = 2[/tex]
Now we can subtract 5 from both sides to isolate h.
[tex]h + 5 - 5 = 2-5\\\\h = -3[/tex]
Hope this helped!
Answer:2 2/2
Step-by-step explanation:
What is 4080.2679 rounded to the nearest thousandth?
A. 4080.270
O B. 4080
OC. 408R268
OD. 4000
Answer:
C. 408.268
Step-by-step explanation:
4080.2679 to be rounded to the nearest thousandth
Count 3 digits after the decimal sign.
Discount the 4th digit after the decimal sign and since it is 9>5, add 1 to the previous digit: 7+1= 8
4080.268Correct option is C
The next term in the geometric sequence -1, -2, -4, ... is -6. True or False
Answer:
False
Step-by-step explanation:
Geometric series have ratios.
The ratio here is 2.
So the next term should be -8.
A data set with whole numbers has a low value of 20 and a high value of 96.
Find the class width for a frequency table with seven classes.
Find the class limits for a frequency table with seven classes.
Answer and Step-by-step explanation:
The computation of the class width for a frequency is shown below:
Class width is
[tex]= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}[/tex]
= 10.86
= 11
Now the class limits for a frequency table
Particulars Lower class limit to upper class limit
First class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
The class width for a frequency table with seven classes is 10.86.
The class limits for a frequency table with seven classes are;
Particulars Lower class limit to upper class limit
First-class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
GivenA data set with whole numbers has a low value of 20 and a high value of 96.
1. The class width for a frequency table with seven classes is;
[tex]\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86[/tex]
The class width for a frequency table with seven classes is 10.86.
2. The class limits for a frequency table with seven classes are;
Particulars Lower class limit to upper class limit
First-class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
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Write the fraction 7/8 as an equivalent fraction with the given denominator 40
Answer:
35/40
Step-by-step explanation:
7/8, with the given denominator 40
So how do we get 8, to turn into 40?
Simple multiplication.
8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.
So
7x5 = 35
The answer should be 35/40