In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.
What is meant by expanded form?The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.
The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.
The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.
Therefore,
Expanded Form of 57,000
57,000 = 50,000 + 7,000.
Hence, In expanded form, 57,000 equals 50,000 + 7,000.
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I really don't get it can you give me the answer then explain why it is that one please
Answer:
[tex]\frac{100}{9}[/tex] is the answer.
Step-by-step explanation:
Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125
Next would be to do the 2^-9. This would equal 1/512
Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.
Now we would simplify both fractions.
The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
e (i said this so the other dude could be mark brainlist)
Step-by-step explanation:
Simplify the expression. 7y+3x+3-2y+6
What is the coefficient of y
What is the constant
Answer:
Step-by-step explanation: combine like terms 7y minus 2y is 5y then combine 3 plus 6 which is 9 then u get 3x+5y+9
If 3/7 of Z is 42, what is 5/7 of Z?
Answer:
x = 70
Step-by-step explanation:
First to make the equation easy, divide 42 by 3 to get what 1/7 of Z equals.
42 / 3 = 14
Now to get 5/7 of Z, just multiply 14 by 5.
14 x 5 = 70
x = 70
Hope this helped.
Answer:
70
Step-by-step explanation:
convert the decimal & solve for Z.
(3/7)Z = 42
(0.4286)Z = 42
Z = 98
Now,
(5/7)Z = ?
putting the value of Z
(0.714) (98) = 70
If m (x) = StartFraction x + 5 Over x minus 1 EndFraction and n(x) = x – 3, which function has the same domain as (m circle n) (x)?
Question:
If m (x) = StartFraction x + 5 Over x minus 1 EndFraction and n(x) = x – 3, which function has the same domain as (m circle n) (x)?
h (x) = StartFraction x + 5 Over 11 EndFraction
h (x) = StartFraction 11 Over x minus 1 EndFraction
h (x) = StartFraction 11 Over x minus 4 EndFraction
h (x) = StartFraction 11 Over x minus 3 EndFraction
Answer:
Option C: [tex]h(x)=\frac{11}{x-4}[/tex] has the same domain as [tex]$(m \circ n)(x)$[/tex]
Explanation:
It is given that [tex]m(x)=\frac{x+5}{x-1}[/tex] and [tex]n(x)=x-3[/tex]
Let us find the domain of [tex]$(m \circ n)(x)$[/tex]
[tex]$\begin{aligned}(m \circ n)(x) &=m(n(x))\\&=m(x-3) \\ &=\frac{(x-3)+5}{(x-3)-1} \\ &=\frac{x+2}{x-4} \end{aligned}$[/tex]
Now, let us equate the denominator equal to zero to determine the domain.
[tex]$x-4=0$[/tex]
[tex]x=4[/tex]
Thus, the function becomes undefined at the point [tex]x=4[/tex]
Hence, the domain of [tex]$(m \circ n)(x)$[/tex] is [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]
Now, we shall find the function which has the same domain as [tex]$(m \circ n)(x)$[/tex]
Option A: [tex]h(x)=\frac{x+5}{11}[/tex]
The function h(x) has the domain of set of all real numbers [tex]$-\infty<x<\infty$[/tex]
Thus, the interval [tex](-\infty,\infty)[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]
Hence, Option A is not the correct answer.
Option B: [tex]h(x)=\frac{11}{x-1}[/tex]
Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=1[/tex]
Thus, the function h(x) has the domain of [tex]$(-\infty,-1) \cup(-1, \infty)$[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]
Hence, Option B is not the correct answer.
Option C: [tex]h(x)=\frac{11}{x-4}[/tex]
Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=4[/tex]
Thus, the function h(x) has the domain of [tex]$(-\infty, 4) \cup(4, \infty)$[/tex] is the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]
Hence, Option C is the correct answer.
Option D: [tex]h(x)=\frac{11}{x-3}[/tex]
Equating the denominator equal to zero, the function becomes undefined at the point [tex]x=3[/tex]
Thus, the function h(x) has the domain of [tex]$(-\infty,3) \cup(3, \infty)$[/tex] is not the same domain as [tex]$(-\infty, 4) \cup(4, \infty)$[/tex]
Hence, Option D is not the correct answer.
Answer:
It’s C
Step-by-step explanation:
Two cars start from towns 805 miles apart and travel toward each other. They meet after 7 hours. Find the speed of each car if one travels 15 mph faster than the other.
Answer:
One car was going 50 mph and the other was going 65 mph.
Step-by-step explanation:
On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yodels?
Answer:
It would be 97.50 square deckles.
Step-by-step explanation:
Given:
On the distant plant, Mathology, a sports area covers 7400 yodels².
1 deckle = 75.9 yodels.
Now, to get the square deckles.
As given, 1 deckle = 75.9 yodels.
So, to get the square deckles by using conversion factor:
75.9 yodels = 1 deckle.
7400 yodels² = [tex]7400\div 75.9[/tex]
= [tex]97.50\ deckels ^2.[/tex]
Therefore, it would be 97.50 square deckles.
The area is approximately 1.286 deckles².
To convert the area from square yodels to square deckles, we need to use the given conversion factor: 1 deckle = 75.9 yodels.
First, we'll find out how many yodels one square deckle is by squaring the conversion factor.
1. Calculate the area of one square deckle in yodels: (75.9 yodels)² = 5752.81 yodels².
2. Convert the given area of the sports area from yodels² to deckles²: 7400 yodels² ÷ 5752.81 yodels²/deckle² ≈ 1.286 deckles².
Therefore, the sports area covering 7400 yodels² is approximately 1.286 square deckles.
Which of the following numbers is irrational?
Select all that apply.
2.3
n
8/9
1.5
Answer:
N
Step-by-step explanation:
50 POINTS!!!!!!!!!!!!!
Solve 4x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
Answer:
2.5
Step-by-step explanation:
Please answerrrr I need it desperately and please EXPLAIN how.!!
Answer:
B
Step-by-step explanation:
The opposite of negative one half is the one half and the opposite of 5/2 is -5/2, or -2.5
Check the picture below.
3) A TREE CASTS A SHADOW THAT IS 43 FEET LONG. MARCO. WHO IS 6 FEET TALL. CASTS A SHADOW 10
FEET LONG. HOW TALL IS THE TREE?
Answer:
Step-by-step explanation:
25.8
6 out of 10 is 60% so 60% percent of 43 is 25.8
The height of the tree is 25.8 feet which is casting a shadow of 43 feet long.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A tree casts a shadow that is 43 feet long, and boy cast shadow of 10 feet who is 6 feet tall.
Assuming the height of the tree to be x.
∴ 43 : 10 : : x : 6.
43/10 = x/6.
10x = 258.
x = 25.8 feet.
So, the height of the tree is 25.8 feet.
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How many extraneous solutions does the equation below have?
StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction
0
1
2
3
Answer:
We can say that the given equation has no extraneous solutions.
The correct option is A.) 0
Step-by-step explanation:
the given equation is [tex]\frac{9}{n^{2} +1} = \frac{n+3}{4}[/tex]
this equals to [tex]36 = (n^{2} +1)(n+3) = n^{3} + 3n^{2} + n + 3[/tex]
therefore [tex]n^{3} +3n^{2} +n+3 = 36 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}n^{3} +3n^{2} +n-33=0[/tex]
Solving the equation through Newton-Raphson method we get n [tex]\approx[/tex] 2.3845.
We can say that the given equation has no extraneous solutions.
Answer:
A. 0
Step-by-step explanation:
How many extraneous solutions does the equation below have?
StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction
0
1
2
3
At a basketball practice you made 59 out of 80 shots. What percentage did you score
Answer:
You have scored 73.75 percentage
Step-by-step explanation:
Given:
Total number of shots = 80
Total number shot made = 59
To find:
The percentage of the score = ?
Solution:
The percentage of the score = [tex]\frac{\text{number of shots made}}{\text {total number of shots}} \times 100[/tex]
Now on substituting the values
The percentage of the score =[tex]\frac{59}{80} \times 100[/tex]
The percentage of the score =[tex]0.7375 \times 100[/tex]
The percentage of the score = 73.75 %
6.4 divided by 136.32
To divide 6.4 by 136.32, you can use long division. The answer is approximately 0.0469.
Explanation:To divide 6.4 by 136.32, you can use long division. Set up the problem with 6.4 as the dividend and 136.32 as the divisor. Start dividing by the highest place value of the divisor, which in this case is the hundreds place. The result is 0, since 136.32 does not go into 6.4 hundreds of times. Bring down the next digit, which is 4, and divide 43.2 (the current partial dividend) by 136.32. Repeat this process until you have the desired level of accuracy in your quotient.
The answer to 6.4 divided by 136.32 is approximately 0.0469 (rounded to four decimal places).
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ZX is the perpendicular bisector of wY, and YZ = 13.75. Find wz.
The required values are WZ = 13.75 and YZ = 27.
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.
As per question 1,
We have been given that ZX is the perpendicular bisector of WY
YZ = 13.75
13.75 + 13.75 = 27.5
27.5 / 2 = 13.75
WZ = 13.75
As per question 2,
We have been given that ZX is the perpendicular bisector of WY
WZ = 4n - 13 and YZ = n + 17
To find YZ
According to the property of the perpendicular bisector,
WZ = YZ
4n - 13 = n + 17
4n - n = 17 + 13
3n = 30
n = 30/3
n = 10
Substitute the value of n = 10 in YZ = n + 17
So, YZ = 10 + 17 = 27
Thus, the required values are WZ = 13.75 and YZ = 27.
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You earned a 75% on a test. You answered 24 questions correctly.How many questions were on the test?
Answer: 32questions
Step-by-step explanation:let the total number of test = x
Therefore: 24/x * 100 = 75
x = 24*100 / 75
= 32questions
Solve the equation 11x + 7 = 73?
Answer:
6
Step-by-step explanation:
If 5 worksites take 31.5 hours to prepare, how long will it take to prepare 13 worksites
(Answer to be in hours pls)
Answer:
81.9 hours.
Step-by-step explanation:
5 work sites take 31.5 hours to prepare, so
1 work sites take 31.5 / 5 hours to prepare, and
13 work sites take . (31.5 * 13) / 5 hours to prepare
= 409.5 / 5
= 81.9 hours.
a rectangle has a perimeter of 204 feet. Its length is six feet longer that twice its width. find the dimensions
Answer:
The length of the rectangle is 70 cm
The width of the rectangle is 32 cm
Step-by-step explanation:
Given:
perimeter of the rectangle = 204 feet
Its length is six feet longer that twice its width
To Find:
The dimensions of the rectangle = ?
Solution:
Let the width of the rectangle be x
Then its length is six feet longer that twice its width.
That is length = 6 + 2x
Now we know that the perimeter of the rectangle is
perimeter = 2(length + width)
204 = 2(6+2x+x)
204 = 2(6+3x)
204 = 12 +6x
204 - 12 = 6x
192 = 6x
x =[tex]\frac{192}{6}[/tex]
x = 32
Thus the width is 32 cm
Its length is
=6 + 2x
=6 + 2(32)
=6 + 64
= 70 cm
What is the solution to the system of equations below?
y=3x-4 and Y =-2x-9
A(-2, -5)
B(-2,-3)
C(2,-3)
D(2,-13)
C(2,-3)
That is your answer
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My answer might be wrong
Suppose a basketball player typically makes one-third of his foul shots. Which simulation could be used to generate frequencies and determine the probability that the player will make his next two foul shots?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Roll two fair dice, when a 1 or 2 is rolled for both dice simultaneously it is recorded as both foul shots being made. This process is repeated for 50 trials.
The probability of a 1 or 2 from a roll of a die is
2
6
or
1
3
which equals the probability of the player making a single foul shot. Therefore, the compound event of two foul shots being made is equal to a 1 or 2 being rolled on both dice simultaneously, (
1
3
)(
1
3
) =
1
9
.
What is the area of the following circle?
the diameter is 10.
Answer: The area of the circle with a diameter of 10 cm is 78.5 cm2.
Answer: 78.5 units²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
Area = πr²
Notice that here, we're given the diameter instead of the radius. It's important to understand that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 10 or 5.
So plugging into the formula, we have (π)(5)².
A common mistake is to plug 10 into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (5)² is equal to 5 x 5 or 25 so we have 25π.
So the area of the circle is 25π.
Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.
So we have (25)(3.14) which is equal to 78.5 units².
Since there were no labels, I just add units to the end.
So the area of the circle is approximately equal to 78.5 units².
Pls help me with this!
Step-by-step explanation:
5-in 5-in five interest answer
convert the rate 175 miles per 5 gallons to feet per quart.
Answer: 46200 feet per quart.
Step-by-step explanation:
We know that 1 gallon = 4 quarts
1 mile = 5280 feet
Therefore , 5 gallons = 5 x 4 quarts
= 20 quarts (i)
175 miles = 175 x 5280 feet
i.e. 175 miles = 924000 feet (ii)
Now , 175 miles per 5 gallons = [tex]\dfrac{\text{ 175 miles }}{\text{5 gallons}}[/tex]
[tex]=\dfrac{ 924000 \text{ feet}}{\text{20 quarts}}[/tex] [From (i)and (ii)]
[tex]\dfrac{46200\text{ feet }}{1\text{ quart}}\\\\=46200\text{ feet per quart}[/tex]
Hence, 175 miles per 5 gallons = 46200 feet per quart.
Answer:
175 miles per 5 gallons = 46200 feet per quart.
List the next four multiples of the fraction 3/5
Answer:
6/10,9/15,12/20,15/25
Step-by-step explanation:
YOU PROBABLY CAN'T ANSWER THIS :/
Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?
explain your answer step by step
Rate of change of the function: 60
Step-by-step explanation:
The exponential function in this problem is
[tex]f(x)=2^{x+3}[/tex]
The rate of change of a function between a certain interval [tex]x_1 \leq x \leq x_2[/tex] is given by
[tex]r=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
where
[tex]f(x_1)[/tex] is the value of the function calculated in [tex]x_1[/tex]
[tex]f(x_2)[/tex] is the value of the function calculated in [tex]x_2[/tex]
In this problem, the interval is
[tex]1\leq x \leq 5[/tex]
So we have:
[tex]f(x_1)=f(1)=2^{1+3}=2^4=16[/tex]
and
[tex]f(x_2)=f(5)=2^{5+3}=256[/tex]
Therefore, the rate of change is:
[tex]r=\frac{256-16}{5-1}=60[/tex]
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If f(1) = 7 and f(n) = f(n − 1) – 4 then find the value of f(6).
Answer:
- 13
Step-by-step explanation:
f(1) = 7
f(n) = f(n − 1) – 4
f(₂) = f(1) – 4 = 7 - 4 = 3
f(₃) = f(₂) – 4 = 3 - 4 = -1
f(₄) = f(3) – 4 = (-1) - 4 = - 5
f(₅) = f(₄) – 4 = (- 5) - 4 = - 9
f(₆) = f(₅) – 4 = (- 9) - 4 = - 13
The value of f(6) is -13, calculated based on the provided recursive formula where each term is four less than the previous.
Explanation:We are given that f(1) = 7, and the recursive equation for n is f(n) = f(n − 1) – 4. Since the equation shows that each next term is four less than the previous one, we can calculate the following iterations:
f(2) = f(2-1) - 4 = f(1) - 4 = 7 - 4 = 3f(3) = f(3-1) - 4 = f(2) - 4 = 3 - 4 = -1f(4) = f(4-1) - 4 = f(3) - 4 = -1 - 4 = -5f(5) = f(5-1) - 4 = f(4) - 4 = -5 - 4 = -9f(6) = f(6-1) - 4 = f(5) - 4 = -9 - 4 = -13So, the value of f(6) is -13.
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Three times the sum of a number and 12 is 45 plz help!
This can be written as 3(n+12)=45, where n is the unknown number
3(n+12)=45 <- Starting Equation
3n+36=45 <- Distributive Property
3n=9 <- Cancel 36 on both sides
n=3 <- Divide both sides by 3
So n=3
Hope this helped!
Answer:
3
Step-by-step explanation:
Which set of integers is not a pythagorean triple and are not the side lengths of a right triangle
Answer:
the side lengths
Step-by-step explanation:
Answer:
the answer is C) 69.you have to add 69 to -26 which gives you 96. in other word C) is the answer
Step-by-step explanation:
Can anyone help with my math problems because I need help and you need to be quick. I will mark brainliest.
3=3/4(b-8)
Please help me thank you!
So you need to isolate/get "b" by itself in the equation:
[tex]3=\frac{3}{4}(b-8)[/tex] Distribute/multiply 3/4 into (b - 8)
[tex]3=(\frac{3}{4}(b))+(\frac{3}{4}(-8))[/tex]
[tex]3=(\frac{3}{4} b)+(-6)[/tex] Don't know which goes into the parentheses....think the one above makes more sense...maybe....sorry
[tex]3=\frac{3}{4} b-6[/tex] Add 6 on both sides
[tex]9=\frac{3}{4} b[/tex] Multiply the reciprocal of 3/4 to get rid of the fraction and get b by itself, which would be 4/3 [basically flipping the fraction or switching the numerator and the denominator]
[tex]\frac{36}{3} =b[/tex] Simplify the fraction
12 = b