Answer:
B = 38.57052934902012
C = 55.42947065097988
c = 13.20702502008021
Step-by-step explanation:
A = 86
B = 38.57052934902012
C = 55.42947065097988
a = 16
b = 10
c = 13.20702502008021
Natalie tried to evaluate the expression \left( 4^{-3} \cdot 2^{-3} \right)^{0}(4 −3 ⋅2 −3 ) 0 left parenthesis, 4, start superscript, minus, 3, end superscript, dot, 2, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 0, end superscript. \begin{aligned} &\phantom{=}\left( 4^{-3} \cdot 2^{-3} \right)^{0} \\\\ &=\left( 8^{-3}\right)^{0} &\text{Step } 1 \\\\ &= 8^{0} &\text{Step } 2 \\\\ &=0&\text{Step } 3 \end{aligned} =(4 −3 ⋅2 −3 ) 0 =(8 −3 ) 0 =8 0 =0 Step 1 Step 2 Step 3 Did Natalie make a mistake? If so, in which step?
Given:
The expression is
[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]
To find:
The Natalie's mistake.
Solution:
We have,
[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]
Using properties of exponents, we get
[tex]=\left( (4\times 2)^{-3} \right)^{0} [/tex] [tex][\because a^mb^m=(ab)^m][/tex]
[tex]=\left( (8)^{-3} \right)^{0}[/tex]
[tex]=\left( 8 \right)^{0}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]=1[/tex] [tex][\because a^0=1,\text{ where, a is any non zero number}][/tex]
Therefore, Natalie make a mistake in Step 3. She write [tex]8^0=0[/tex] instead of [tex]8^0=1[/tex].
Answer:
d
Step-by-step explanation:
can someone please help me with this math problem please and thank you
Answer:
67°
Step-by-step explanation:
AI/AK=AH/AJ=HI/JK
angle HJK= angle AHI
= 67°
angle x= 180°-46°-67°
=67°
Identify the following equations as linear,
quadratic or other.
x + 3x2 = 0
Pllllsssss it's due today
Answer:
Step-by-step explanation:
For every 4 pounds of sugar you get 20 cups of coffee. 4:20
For every packet of seeds you get 10 plants 1:10
PLZ HELP ASAP what number should be placed in the box to help complete the division calculation
It should be 18 because after subtracting 55 and 54 you get 1 but then you bring down the 9 so you get 19. 18 can only fit to 19 one time, 18x 1, and you get 18. So you subtract 18 and 19 and get 1 then you bring down the 3 and get 13. Answer=18
Work out the value of 5 squared add 2 cubed
Answer:
33
Step-by-step explanation:
5 squared is 25, 2 cubed is 8. 25+8=33
Please mark brainliest Hope this helps :D
The value of the given expression 5² + 2³ is 33
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
The given expression, 5² + 2³, involves two operations: squaring and cubing.
The first operation, 5², means that we need to multiply 5 by itself, which results in 25.
The second operation, 2³, means that we need to multiply 2 by itself three times, which results in 8.
Therefore, 5² + 2³ is equivalent to 25 + 8, which gives us 33 as the final answer.
In other words, the value of the given expression is 33. This calculation involves basic arithmetic operations and can be easily solved using a calculator or mental math skills.
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If is parallel to , which statement must be true?
A.
The perpendicular distance between and decreases as the lines are traversed right to left.
B.
and do not intersect.
C.
and intersect at 90° angles.
D.
The perpendicular distance between and increases as the lines are traversed left to right.
Answer:
D
Step-by-step explanation:
plato
PLS EXPLAIN WHY .. and how steps
Answer:
[tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
Step-by-step explanation:
We are given:
[tex]f(x)=\begin{cases} x^3 , x<2 , \ then \ \lim_{x \to 2^+} f(x)= \\ x-2, x>2\\\end{cases}\\[/tex]
Since the limit given is x-> 2⁺ so, values greater than 2 will be considered. So, we will consider f(x)=x-2 x>2
Putting x=2
f(x)=x-2
f(2)=2-2
f(2)=0
So, [tex]\lim_{x \to 2^+} f(x)=0[/tex]
Option C is correct option.
The function h(x) = g(x + 2) - 1, complete the table for h(x).
g(x + 2) - 1
h(x)
-2
-1
0
(0+2) - 1
1
1
2.
Part A: What is the value for h(2)?
Select a Value
Answer:
x g(x + 2)-1 h(x)
-2 g(-2+2)-1 -1
-1 g(-1+2)-1 0
0 g(0+2)-1 1
1 g(1+2)-1 2
2 g(2+2)-1 3
Part A: 3
Part B: -1
Step-by-step explanation:
When you have questions like these all you have to do is plug in and solve.
For example I will do h(2) & h(-2) for reference.
h(2):
[tex](2+2)-1\\4-1\\3[/tex]
h(-2):
[tex](-2+2)-1\\0-1\\-1[/tex]
The area of abcd
is 10cm^2 show that x^2 +6x =1
Answers
Maths
GCSE
Article
The area of square ABCD is 10 cm^2 . Show that x^2 + 6x = 1 (requires diagram which I will draw on the whiteboard).
The area of a square is the length of one side squared (multiplied by itself), so for a square with side length 3, the area will be 32 or 3 x 3, which = 9. For a square with side length x, the area will be x2 .Given that the length of one side is 3 + x, the area will be (3+x)2 This can be written as (3+x) * (3+x), and to expand these brackets we will use the 'crab claw' method. We will take the first value in the first bracket, and times it by both values of the second bracket. So we will multiply 3 by 3 which is 9, and then 3 by x which is 3x. We will then take the second value in the first bracket and multiply is by both values in the second bracket. So we will multiply x by 3 which is 3x, and then x by x, which is x2. Now we will add together all the the values we have just found: x2 + 3x + 3x + 9. Because the only like terms are 3x and 3x, and 3x + 3x = 6x, the final equation we form after expanding the brackets will be x2 + 6x + 9.. Given that the area of the square is given as 10cm2, 10 must be equivalent to x2 + 6x + 9, so we form the equation x2 + 6x + 9 = 10. When balancing equations, you must do whatever you do on one side to the other side. Therefore if we take 9 away from the left hand side, we must take 9 away from the right hand side (10 - 9 = 1), leaving us with x2 + 6x = 1, and completing the question.
why must the vertex of an isosceles triangle be an even number
Answer:
Step-by-step explanation:
The vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the .
What would i get if i did this equation-3z-2/2<5
Find the area of the shape below
Answer: where is the pdf
Step-by-step explanation:
Answer:
Circle shape HOOOOOOYAAAAAHHHH
Step-by-step explanation:
A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones. What is the highest number of defective phones do the companies have in common?
Answer:
10
Step-by-step explanation:
Given that:
Company A:
40 defective out of every 5000
Company B :
30 out of every 6000
To obtain the highest number of defective phones both companies can produce in common :
Factors of :
40 : 2, 4, 5, 8, 10, 20, 40
30 : 2, 3, 5, 6, 10, 15, 30
Hence, highest number of defective phones both companies can produce in common is 10
Aiden estimates that the length of a piece of rope is 7.2 inches. If its actual length is 6.5 inches, what is the percent error of Aiden’s estimate?
Answer:
♡Greetings!
It's 11 percent ♡
Hope I could help you, stay safe! \(≧▽≦)/
~ Clara
✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ
Step-by-step explanation:
Parallelogram ABCD is shown with diagonal AC drawn. (Remember, opposite sides of a parallelogram are PARALLEL). Which proves that ZDCA is 12 to ZBAC? (THINK about what
kind of angles they are when two lines are parallel - DC is parallel to AB)
Answer:
If two parallel lines are cut by a transversal,then alternate interior angles are congruent.
Step-by-step explanation:
Which model represents a fraction greater than 3/5?
Answer:
the 2nd one
Step-by-step explanation:
Answer:
its the blue circle
Step-by-step explanation:
25 points
Which of the following would be the correct similarity statement for the
figures shown?
Answer:
GJIH - WXYZ I guess I ryt
How do I find the quotient for 42.6 ÷ 0.07
Answer:
Step-by-step explanation:
42.6 divided by 0.07 is 608.571428
Regular division.
PLEASE HELP ME Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)
o 45xy-220
o 15x-30y-220
o 15x+30y-220
o 15x+30y-64
Answer:
15x+30y−220
Step-by-step explanation:
hope this helps
Explain three ways natural barriers impacted civilizations.
Answer:
oooooooooooooooooooooooooo
Step-by-step explanation:
oooooooooooooooooooo
find the slope of the line between (1,5) and (3,9)
Answer:
Slope is 2.
Step-by-step explanation:
We can use the points in either order and you will still get the same slope. I usually solve in order that is given. So the first coordinates I label (x1,y1) and the second is (x2,y2).
Slope=m=(y2-y1)/(x2-x1)
m=(9-5)/(3-1)=4/2=2
Answer:
slope = 2
Step-by-step explanation:
use y2-y1 over x2-x1
The Chambers family has driven 603 miles at a constant speed of 67mph. How many hours have they been driving. Use d = rt to solve.
Write an equation for the situation that will represent the distance for any time.
Answer:
d = 67t
and
eqn d = 67t represents d over time.
Step-by-step explanation:
part one : find the hours they have been driving
d = 603 miles driven
r = 67 mph
t = ?
r = d/t
rt = d
t = d/r
t = 603/67
t = 9
unit = in hours
they have been driving for 9 hours.
part 2 : find an equation for the situation that represents distance for any time
t is the independent variable
d will represent the dependent variable
let r represent the slope
d = rt
d = 67t
therefore the eqn d = 67t represents d over time.
help!! i dont understand this thanks if you helped :)
Answer:
28
Step-by-step explanation:
A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local.
Answer:
Step-by-step explanation:
1580-640=940 were local
No. of local fans = 940
What is subtraction?Subtraction is one of the four basic arithmetic operations in mathematics. It represents the operation of removing objects from a collection. The minus sign signifies subtraction −.
Example: There are nine oranges arranged as a stack, out of which four oranges are transferred to a basket, then there will be, 9 – 4 oranges left in the stack, i.e. five oranges.
Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5.
Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers such as negative numbers, fractions, rational & irrational numbers, decimals, functions, matrices and vectors.
Given,
Total fans attended championship = 1580
No. of out of state fans = 640
No of local fans = total fans - no. of out of state fans
= 1580 - 640
No of local fans = 940
Hence, there were 940 local fans who attended football championship.
Learn more about subtraction here:
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Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x) = 3x where x represents the number of laps she swims.
Given :
Everyday Isabel swims 10-20 laps in a 50 meter pool.
The amount of time she spends swimming is represented by the function f(x) = 3x .
To Find :
The speed of Isabel.
Solution :
Distance travelled in x laps is, D = 50x .
It is given that time taken is, t = 3x .
So, speed of Isabel is given as :
[tex]Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s[/tex]
Hence, this is the required solution.
it cost Evan $17.70 to send 177 text messages how many text messages did he send if he spent $19.10
help pls it’s due soon hurry will mark as brainliest if correct
Answer: 3,885.71428571428571 I’m not sure
Step-by-step explanation:
A piece of jewelry is located 614 how many feet away from the jewelry ann
Answer:
Dublin Village Jewelry's is a family owned and operated full service fine jewelry store located in the heart of Dublin, Ohio. We are passionate about what we do and pride ourselves on providing our clients with a fun, pressure free shopping experience. We carry beautiful, ethically sourced, high quality bridal and fine jewelry as well as luxury timepieces, all at excellent values.
Step-by-step explanation:
Make sure you press this to brainliest
HELP ASAP PLEASE WILL GIVE BRAINLIEST
pls give explanation too
graph f(x) = |x+5|
