Answer:
6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Step-by-step explanation:
The exponent of any number shows that how many times that number can be used in multiplication. It is the power raised to any number which show the number of times that number is raised by.
6 × 10 × 10 ×10 × 10
Here 10 is multiplied 4 times, therefore the exponent of 10 is 4.
∴ 6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Final answer:
The expression 6X10X10X10X10 written with an exponent is 6x10⁴, indicating that 10 is multiplied by itself four times and then multiplied by 6.
Explanation:
To write 6X10X10X10X10 with an exponent, we identify the repeated multiplication of 10s. Since there are four 10s multiplied together, we use the exponent 4 to represent this, and the expression becomes 6x10⁴. This is because when you have repeated multiplication of the same number, you can express that number raised to the power of how many times it is multiplied by itself.
Given the function
[tex]f(x) = 3 |x + 2| - 4[/tex]
When will this function be greater than 0?
Answer:
[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]
Step-by-step explanation:
f(x) > 0
if:
[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]
The Fort Worth Zoo had 6,195 visitors last week. The zoo is open seven days a
week. If about the same number of people attended the zoo each day, use
compatible numbers estimate the number of people attending on one day.
Record your answer in the griddable.
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
[tex]7N = 6195[/tex]
where [tex]N[/tex] is the number of people that would show up to the zoo on a given day.
Dividing both sides by 7 will give us the answer:
[tex]N = 885[/tex]
To estimate the number of visitors at the Fort Worth Zoo per day, we rounded the total weekly visitors to 6,200 and divided by 7. An estimated average daily attendance is about 880 visitors.
To estimate the number of people attending the Fort Worth Zoo on one day last week, we can divide the total number of visitors by the number of days the zoo is open.
We have a total of 6,195 visitors and the zoo is open 7 days a week. Since we are using compatible numbers, we can round 6,195 to the nearest hundred to get 6,200.
Now, we divide 6,200 by 7.
It can be tricky to divide by 7, so let's simplify. We know that 7 times 900 is 6,300, which is slightly more than 6,200.
Thus, we can estimate a bit lower. 7 times 800 is 5,600, which is too low, so we need a number between 800 and 900.
If we try 7 times 850, we get 5,950, which is still low but much closer.
Therefore, an estimate between 850 and 900 for the average daily attendance would be reasonable.
To be more precise, let's pick 880 as a compatible number which when multiplied by 7 gives us 6,160, very close to our rounded number of 6,200.
Hence, approximately 880 visitors attended the zoo each day last week.
Question pls help!!!!!!!!!
Hey!
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Solution:
72 tropical fish and 5/9 sold.
72 / 9 = 8
8 * 5 = 40
72 - 40 = 32
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Answer:
There are 32 fish left in the tank!
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Hope This Helped! Good Luck!
Answer:
32 fishes
Step-by-step explanation:
[tex]\frac{5}{9}[/tex] of 72.
Convert 9 to 72. 9 * 8 = 72
Multiply 5 by 8 since it is a numerator. 5 * 8 = 40
40 out of 72 fishes were sold.
72 - 40 = 32
There are 32 fishes left in the tank
Evaluate C(7,3)
A.) 4
B.) 35
C.) 70
Answer:
math
way
.com
Step-by-step explanation:
Answer:
35, is your answer my friend
If you have $100.00 to start the summer and you earn $25.00 per day. What equation would represent this?
Hey!
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[tex]\boxed{ \bf 100~+~25x~=~m}[/tex]
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Solution:
m = money at the end of summer.
x = how many days are in summer.
If he starts with 100 dollars at the beginning of summer, then you just want to add it depending on how many days he gets paid $25.
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Hope This Helped! Good Luck!
Which of the following values is the solution to the equation -35x = -105 ? 3 -3
Answer:
3
Step-by-step explanation:
it will be 3 if you want to find the positive number
Pls help me get the answer and help me understand how to solve these type of questions
Answer:
y = (x - 4)² + 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (4, 2), thus
y = a(x - 4)² + 2
To find a substitute a point that lies on the curve into the equation
Using the point (2, 6), then
6 = a(2 - 4)² + 2
6 = 4a + 2 ( subtract 2 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
Hence
y = (x - 4)² + 2 ← equation in vertex form
Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)
Answer:
(3,-2)
Step-by-step explanation:
Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)
Answer:
(3, -2)
Step-by-step explanation:
( x1 + x2 / 2, y1 + y2 / 2 )
x2 = ( x1 + E / 2 ), y2 = ( y1 + E / 2 )
5 + x / 2 = 4, 2(5 + x / 2) = 4(2) = 5 + x = 8, x = 3
8 + y / 2 = 3, 2(8 + y / 2) = 3(2) = 8 + y = 6, y = -2
Which of the following r-values represents the strongest correlation?
O A. 0.50
OB. 0.92
O C. 0.74
O D. 0.29
SUBMIT
Hey!
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Answer: 0.92
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Explanation: The correlation will be between 1 and -1. 1 being positive and -1 being negative. The highest number that is closest to the r value is the strongest correlation.
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Hope This Helped! Good Luck!
Answer:
0.71
Step-by-step explanation:
Solve the proportion 5/3c=1/6
Answer:C= 10
Step-by-step explanation:
1.cross multiply and you get 3c=30
2.divide both sides by 3 and you get c=10
Answer:
[tex]c=\frac{1}{10}[/tex]
Step-by-step explanation:
So the trick is to make the number before c = 1.
How do we do that?
We multiply the fraction by it's reciprocal, which is 3/5.
However, we also have to do the same thing to the other side of the equation.
Answering the problem will look like this:
[tex]\frac{5}{3} c=\frac{1}{6}\\\frac{3}{5}*\frac{5}{3}c=\frac{1}{6}*\frac{3}{5}\\\frac{3*5}{5*3}c=\frac{1*3}{6*5}\\\frac{15}{15}c=\frac{3}{30}\\c=\frac{1}{10}[/tex]
So [tex]\frac{1}{10}[/tex] is our answer!
Georgia is making sock puppets. Each pair of socks costs $2. georgia bought 6 pairs of socks. How much did she spend?
Answer:
$12
Step-by-step explanation:
First you would have to write down the number of socks. That is 6. That means 6 is the first part of our equation. Then, we have to multiply this by the $2. You have to do this because this is how much each pair costs. Then you would do 2 times 6 equals 12.
Answer:
If each pair of sock is 2$
and she bought 6
multiply 2 by 6
explanation
2x6 = 12
because a pair of docks is two so multiply by how much pairs she bought
The school cafeteria makes pudding every Wednesday. Each box of pudding mix uses 3 cups of milk. How many quarts of milk will be used to make 80 boxes of pudding mix?
Answer:
160 cups of milk
Step-by-step explanation:
To calculate how many quarts of milk are needed for 80 boxes of pudding mix, you multiply the boxes by the cups per box to find the total cups (240 cups) and then divide by the number of cups in a quart to get 60 quarts.
To determine how much milk will be used to make 80 boxes of pudding mix, we start by calculating the total number of cups of milk needed. Since each box uses 3 cups of milk, the total number of cups for 80 boxes is:
3 cups/box x 80 boxes = 240 cups
Next, we convert cups to quarts. We know that 1 quart equals 4 cups, so we can set up a proportion:
4 cups = 1 quart
240 cups = x quarts
Cross-multiplying to solve for x gives us:
1x = 240/4
x = 60 quarts
Therefore, the cafeteria will use 60 quarts of milk to make 80 boxes of pudding mix.
What is 5/6+2 3/4 PLS HELP ASAP
Answer:
Exact form: 43/12
Mixed number form: 3 7/12
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
35% of 120 =
12% of 50 =
55% of 40 =
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 120\to0.35\cdot120=42\\\\\\12\%=\dfrac{12}{100}=0.12\\\\12\%\ of\ 50\to0.12\cdot50=6\\\\\\55\%=\dfrac{55}{100}=0.55\\\\55\%\ of\ 40\to0.55\cdot40=22[/tex]
Simplify. 7+3(2−1)^2
Answer:
10
Step-by-step explanation:
2-1 =1
7+3 = 10
10(1)^2 =
10(1) =
10
Answer:
7+3(2-1)^2=10
Step-by-step explanation:
1.Subtract: 2 - 1 = 1
2.Exponentiation: the result of step #1 ^ 2 = 1 ^ 2 = 1
3.Multiple: 3 * the result of step #2 = 3 * 1 = 3
4.Add: 7 + the result of step #3 = 7 + 3 = 10
- 2(x + 3) + 2(x + 4) = 24
Answer: no solution
Step-by-step explanation:
First lets simplify
-2(x+3) + 2(x+4) = 24
-2x - 6 + 2x + 8 = 24
We can simplify this further by combining like terms
2=24 is the equation we get after combining like terms.
Since 2 is not equal to 24, the answer is no solution.
Answer:
NO SOLUTIONStep-by-step explanation:
[tex]-2(x+3)+2(x+4)=24\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(x)+(-2)(3)+(2)(x)+(2)(4)=24\\\\-2x-6+2x+8=24\qquad\text{combine like terms}\\\\(-2x+2x)+(-6+8)=24\\\\0+2=24\\\\2=24\qquad\bold{FALSE}\\\\\text{Conclusion:}\\\\\bold{NO\ SOLUTION}[/tex]
2.
Solve for x: 2x+ 5 = 4x + 7
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 4x + 7
2x = 4x + 7 - 5
-2x = 2
x = -2
Answer:
x=-2
Step-by-step explanation:
this is how the answer for it
Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x?
The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x simplify to 3x – 1, as like terms are combined to reach the final equivalent expression.
Explanation:The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x can be found by combining like terms. To start, we list all the terms out:
Positive six: +6Negative x (or -1x): –xTwo times x (or 2x): +2xNegative seven: –7Another two times x: +2xNow, we can combine like terms:
x-terms: –x + 2x + 2x = 3x
Constant terms: +6 – 7 = –1
So the equivalent expression is:
3x – 1
To check if our answer is reasonable, we make sure that all like terms have been combined and there are no further simplifications possible.
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5 -b(t+3) = -1 +2n(t-3)
Answer:
b= - 2nt-6n-6/ 3+t; t≠ -3
I hope this is what you were looking for!
A bathtub empties at 15 gallons per minute. What is this in liters per second?
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
Answer:
Step-by-step explanation:
What is 2.25x+5=13.5x+14
Answer:
x = -1.25
Step-by-step explanation:
2.25x + 5 = 13.5x + 14
subtract five from both sides
2.25x = 13.5x + 9
subtract 13.5x from both sides
-11.25x = 9
swap the negative
11.25x = -9
divide 11.25 from both sides
x = -1.25
Based on the given equation 2.25x+5=13.5x+14; the value of x is 0.8
What is like terms?Like terms refers to terms in an algebraic expression or equation which have the same variable.
2.25x+5=13.5x+14
combine like terms
2.25x - 13.5x = 14 - 5
11.25x = 9
divide both sides by 11.25
x = 9/11.25
x = 0.8
Hence, 0.8 is the value of x in 2.25x+5=13.5x+14
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: The Imbrium Basin is the largest basin on the moon. A reasonable domain
for the height above the lowest point in the basin is given by
{d0 < d < 3805774}. What does this tell you about the basin?
Answer:
Part a) [tex]f(2)=1.57\ sec[/tex]
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) see the explanation
Part c) [tex]2,165.43\ sec[/tex]
Step-by-step explanation:
The complete question is
On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d.
Part a: determine f(2) and explain what it represents.
Part b: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin.
Part c: how long would it take a rock to drop from the rim to the bottom of the basin?
Let
f(d) -----> the time in seconds it takes for an object to fall
d -----> distance in feet
we have
[tex]f(d)=1.11\sqrt{d}[/tex]
Part a): Determine f(2) and explain what it represents
we know that
f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet
For d=2 ft
substitute in the function above and solve for f(2)
[tex]f(2)=1.11\sqrt{2}\\f(2)=1.57\ sec[/tex]
therefore
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}
What does this tell you about the basin?
The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft
so
The maximum height of the basin is 3,805,774 ft
Part c) How long would it take a rock to drop from the rim to the bottom of the basin?
we know that
The distance from the rim to the bottom of the basin is equal to the maximum height of the basin
so
[tex]d=3,805,774\ ft[/tex]
substitute the value of d in the function f(d)
[tex]f(d)=1.11\sqrt{3,805,774}\\f(d)=2,165.43\ sec[/tex]
bradly Now assign a variable for time.
Answer: Let t represent the time in years.
Step-by-step explanation: that's what the answer is for your question exactly you don't need the explanation just "Let t represent the time in years. "
A spool of ribbon holds 6.75 meters. A craft club buys 21 spools.
a. What is the total cost if the ribbon sells for $2 per meter?
b. If the club uses 76.54 meters to complete a project, how much ribbon will be left?
Answer:
a. 141.75 m
b. 65.21 m
Step-by-step explanation:
One spool = 6.75 m
total ribbon = 21 spools
a) total spool in meter = 6.75×21 = 141.75 m
unit meter cost = 141.75×2 = 283.5 m
b) if the club uses 76.54 m then 141.75- 76.54 m = 65.21 m of ribbon left
Is 5.787787778... a rational number
Answer:
Irrational, because it is non-terminating and non-repeating So Its Irrational.
Solve for x:
2.9−x=0.29
Answer:
2.61
Step-by-step explanation:
You have to subtract 2.9 to 0.29 because it is a positive number and you have to do the opposite. That will give you -2.61 but you still have to bring down that negative x and to get rid of the negative, you divide both sides by one since there is an understood one beside the x and a number beside another number or variable means multiplication and that will give you, 2.61.
Solving for x in 2.9−x=0.29 is a simple algebraic operation that involves adding x to both sides of the equation to cancel it on the one side and then subtracting 0.29 from both sides to find x = 2.61.
Explanation:To solve for x in the equation 2.9−x=0.29, you'll need to think about it in terms of moving pieces from one side of the equal sign to the other. Therefore, if we add x to both sides of the equation, it cancels out the variable on the left. So, we have 2.9 = x + 0.29. After that, to isolate x on one side, subtract 0.29 from both sides and we end up with x = 2.9 - 0.29. When we calculate it, we get x = 2.61.
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What is 9/20 but in percent form
Answer: 45%
Step-by-step explanation: Well in order to get a percent, we need the denominator to be 100 and then the value we get as the numerator is the percentage which we want to calculate.
To get a 100 in the denominator of 9/20, we multiply top and bottom by 5 and we get the equivalent fraction 45/100.
Now the numerator will be our percent which is 45.
So 9/20 is equivalent to 45%.
I really don’t understand this question -_-
Answer:
Step-by-step explanation: When you have the number 1000 there are three zeros so in scientific notation you just have to mve the decimal to the right three times and you'll have your answer hope this helps!
If you have agreed to shovel 10 driveways in your neighborhood, how long will it take for you and your friend to complete the work?
Answer:
divide 10 by two
Step-by-step explanation:
easy
To determine the time required to shovel 10 driveways, additional details such as the time for one person to shovel one driveway are needed. The method of snow removal, collaboration efficiency, and driveway conditions are key factors affecting the duration.
To determine how long it will take for you and your friend to shovel 10 driveways, we need more information about the time it takes for one driveway to be shoveled by one person. Since this information is not provided, I cannot give a precise answer. However, I can discuss the factors that will affect the time required to complete the work, including the method of snow removal used, the size and condition of the driveways, the amount of snowfall, and the efficiency of you and your friend while working together.
If using hand shovels, snow blowers, or a pickup truck with a snowplow, the time will vary significantly. With hand shovels, expect it to take the longest time, as this method is labor-intensive. Using a snow blower will reduce the time compared to shoveling by hand. And finally, using a pickup truck with a snowplow will likely be the fastest method, assuming the driveways are accessible and suitable for this equipment.
The efficiency of you and your friend working as a team will also impact the duration. If you work simultaneously on separate driveways, you could potentially cut the time in half, compared to working alone. Therefore, collaboration and the chosen snow removal method will ultimately dictate the total time spent.
A camera priced at $220 is marked down 30%. Find the price of the camera after the markdown.
The price of the camera after the markdown is $___
Answer:
154
Step-by-step explanation:
220-(220*30%)=154
Use this on google next time so you do not waste points on brainly