Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom
Rounded to the nearest millionth, the number is about
The estimation of 0.000007328 is \(7\times10^{-6\).
What is estimation?Estimation is he ability to guess the amount of anything without actual measurement.
The number (n) is given as:
\(\text{n}=0.000007328\)
Multiply by 1
\(\text{n}=0.000007328\times1\)
The number is to be rounded to the nearest millionth.
So, we substitute \(\frac{1000000}{1000000}\) for 1
\(\text{n}=0.000007328\times1\)
\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)
This becomes
\(\text{n}=7.328\times\dfrac{1}{1000000}\)
Express the fraction as a power of 10
\(\text{n}=7.328\times10^{-6\)
Approximate to a single digit
\(\rightarrow\bold{n=7\times10^{-6}}\)
Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).
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Unit measure in order from smallest to largest Pounds, kilograms, ounces, grams
The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.
The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.
Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.
Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.
So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.
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Find the least number that must be added to 9577 to make it a perfect square number
Please help ASAP!!!
わたしの桜前田 :)
Answer:
27
Step-by-step explanation:
you have to find out the square of a number which might be just a little more than the given number.
We know that 982=9604
Since the number 9604 is just a little more than the our required number, the difference between 9604 and 9577 will give us our solution.
Hence,
9604−9577=27
Answer:
Step-by-step explanation:
Assuming that you want to add an integer to this.
I) √9577 ≈97.86
II) Taking the next integer , 982=9604
III) Answer =9604−9577=27
PLEAS HELP ASAP 50 POINTS IF RIGHT: A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 7 feet by 3 feet by 4.8 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.
Given dimensions:
Length = 7 feet
Width = 3 feet
Height = 4.8 feet
Surface Area of each face:
Front and back faces: Length * Height
= 7 feet * 4.8 feet
= 33.6 square feet
Top and bottom faces: Width * Length
= 3 feet * 7 feet
= 21 square feet
Side faces: Width * Height
= 3 feet * 4.8 feet
= 14.4 square feet
Total Surface Area:
2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)
= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet
= 67.2 square feet + 42 square feet + 28.8 square feet
= 137 square feet
Therefore, the total surface area of the bench is 137 square feet.
Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.
Cost per square foot = $0.89
Total Surface Area = 137 square feet
Total cost to cover the bench:
= Cost per square foot * Total Surface Area
= $0.89 * 137 square feet
= $121.93
Therefore, it will cost $121.93 to cover the bench with ceramic tiles.
What is the degree of the polynomial below?
x + 2x - 3x* + 5 + 3x2
Find the area of the circle. Round your answer to the nearest hundredth.
2 cm
Answer:
12.57 if 2cm is the radius,
3.14 if 2cm is the diameter
Step-by-step explanation:
If the radius 2cm
A = πr^2 = π·2^2 ≈ 12.56
If the diameter 2cm
A= πr^2 = π·1^2 ≈ 3.14
Find the variance for n = 170 and p = 0.7 when the conditions for the binomial distribution are met.
If the conditions for a binomial distribution are met, the variance, given the number of trials (n) and the probability of success(p) is given as:
\(\text{variance (}\sigma^2)\text{ = np(1-p)}\)Given:
n = 170
p = 0.7
Solution
By substituting the given values, the variance is:
\(\begin{gathered} \sigma^2\text{ = 170 }\times\text{ 0.7 }\times\text{ (1-0.7)} \\ =\text{ 35.7} \end{gathered}\)Answer: 35.7
solve for x
30 < 2x - 6
What is 6/2(1+2)? This is on my math test and I’m confused?
Answer:
9
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation: I don't know exactly what your question is but solving 6/2(1+2) gives me 1 as answer.
= 6/2(1+2)
= 6/2(3)
= 6/6
= 1
Hope it helps.
“a number n equals 7 more than half the number” can be written as what
Answer:
Step-by-step explanation:
n=n/2 +7
Element X decays radioactively with a half life of 6 minutes. If there are 900 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 121 grams?
y = a(.5)
Answer:
t = 17.4 minutes
Step-by-step explanation:
p = a(1/2)^(t/h)
121 = 900(1/2)^(t/6)
Divide both sides by 900
0.1344444444 = (1/2)^(t/6)
Take the log of both sides
log0.1344444444 = (t/6)log(1/2)
Divide both sides by log(1/2)
log0.1344444444 / log(1/2) = t/6
multiply both sides by 6
6 * log0.1344444444 / log(1/2) = t
use calculator
17.369507726516199 = t
rounded
t = 17.4 minutes
Answer:
17.4
Step-by-step explanation:
how can i learn math well?
Answer:
you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh
You are considering making a major purchase on your credit card. You should ask yourself the following questions, except which answer choice? a. Would it cost me less if I came up with a different purchasing plan? b. What else can I purchase to reach my full credit limit? c. Will I receive any incentives from my credit card company for making this purchase? d. How much will my purchase really end up costing if I don’t pay off the balance immediately? Please select the best answer from the choices provided A B C D.
Answer:
D would be the wisest choice.
Step-by-step explanation:
Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.
Hope this helped, have a nice day!
find the number of positive integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11.
Answer:
Step-by-step explanation:
To solve this problem, we will use the principle of inclusion-exclusion. Let $A_i$ be the set of integers not exceeding 10,000 that are divisible by the prime number $p_i$, for $p_i\in{3,4,7,11}$. We want to find the number of integers that are not in any of these sets $A_i$.
The number of integers not exceeding 10,000 that are divisible by $p_i$ is given by $\lfloor 10,000/p_i\rfloor$. For example, the number of integers divisible by 3 is $\lfloor 10,000/3\rfloor=3333$. However, some integers are divisible by more than one of the primes $p_i$, and we don't want to count them twice.
The number of integers not exceeding 10,000 that are divisible by two of the primes $p_i$ is given by $\lfloor 10,000/(p_ip_j)\rfloor$, where $p_i\neq p_j$. For example, the number of integers divisible by both 3 and 4 is $\lfloor 10,000/(3\times 4)\rfloor=833$.
Similarly, the number of integers divisible by three of the primes $p_i$ is $\lfloor 10,000/(3\times 4\times 7)\rfloor=59$, and the number of integers divisible by all four primes is $\lfloor 10,000/(3\times 4\times 7\times 11)\rfloor=4$.
Using the principle of inclusion-exclusion, the number of integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11 is given by:
10
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10,000−∣A
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4
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=10,000−(∣A
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4
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7
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=
3754
.
Therefore, there are 3754 positive integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11.
Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?
Answer:
It would be a tie
Step-by-step explanation:
Skeir 1 in 5000 feet would go 45 seconds.
Skier 2 in 5000 feet would go 50 seconds
If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.
In a sale a clothes shop reduces its prices by 25% a shirt usually costs $34 how much it’s after the sale?
Answer:
$25.5
Step-by-step explanation:
A clothing store is having a sale on shoes of 40% off the original price. They have not marked the new price on any of the shoes. Write an equation that you could use to determine the price of a pair of shoes sold by the store if you know the original price. Use x to represent the original sale price and y to represent the sale price.
Answer:
x * 0.60 = y
Step-by-step explanation:
0.60 because 100% - 40% =60% 60%=0.60
explain why the gradient points in the direction in which f(x) increases the fastest
The gradient of a function points in the direction in which the function increases the fastest because it represents the direction of greatest increase of the function.
The gradient of a function is a vector that points in the direction of the steepest increase of the function at a particular point. This means that if we move in the direction of the gradient, the value of the function increases the fastest.
To understand why this is true, let's consider the definition of the gradient. The gradient of a function f(x) is defined as a vector of partial derivatives:
∇f(x) = (∂f/∂x1, ∂f/∂x2, ..., ∂f/∂xn)
Each component of the gradient vector represents the rate of change of the function with respect to the corresponding variable. In other words, the gradient tells us how much the function changes as we move a small distance in each direction.
When we take the norm (or magnitude) of the gradient vector, we get the rate of change of the function in the direction of the gradient. This means that if we move in the direction of the gradient, the value of the function changes the fastest, because this is the direction in which the function is most sensitive to changes in the input variables.
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Determine the value of each fruit. Watch the operation signs in the last equation.
Answer: your mum has all the answers just ask her kidding if i am correct its 29
A 100 ft rope is divided into 2 parts so that the longer length is 50% greater than the smaller one. write and solve a system of equations to find the length of each piece of rope.
Help me asap please . i’ll give brainiest .
Answer:
i think it is 65 and 35 but i dont really get the question do you think you could make it easier to understand??
Step-by-step explanation:
also if it is right brainliest plz
Below is the table of values of a function. Write the output when the input is n
input 3 5 9 n
output 1 3 7 ?
what is the last output number?
Answer:
N=17
?=15
Explanation;
Check out my attached work
Hope it helps, let me know if you have any questions
How many turns maclaurin series for ln.
Answer:3
Step-by-step explanation:
How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?.
The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.
In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
The given points are (–2, –16).
The given equation of line is y = x – 5.
Standard equation of line is y=mx+c.
After comparing to the standard equation.
Slope m(1) = 1
The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So
−16=−2*1+c
Simlifying
−16=−2+c
Add 2 on both side, we get
c = −16+2
c = −14
As we know that if line is parallel then
m(1)=m(2)
So the value of solpe m = 1
Now the equation of line
y=1*x+(−14)
y=x−14
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The right answer is:
How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?
Point (−2,−16), y = x – 5
joseph ran 12 miles in 1.5 hours. what was his speed in miles per hour
As it is a rate then you can solve the problem solving in the following way
\(\begin{gathered} \frac{12\text{ miles}}{1.5\text{ hours}}=\frac{x\text{ miles}}{1\text{ hour}} \\ \text{Multiply by 1 hour on both sides of the equation} \\ \frac{12\text{ miles}}{1.5\text{ hours}}\cdot1\text{ hour}=\frac{x\text{ miles}}{1\text{ hour}}\cdot1\text{ hour} \\ 8\text{ miles = x} \end{gathered}\)Therefore, Joseph was a speed of 8 miles per hour.
easy question/ whats |9x|=-9
Answer:
you divide 9 from both side and get x=-1
Step-by-step explanation:
Big brain stuff
x=1 Thats the answer
Let A and B be the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d}, respectively. Find
a) A ∪ B.
b) A ∩ B.
c) A − B.
d) B − A.
e) A + B.
For the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d} the solutions are A ∪ B is {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d},A ∩ B is {2 · a, 2 · b},A − B is {1 · a, 0 · b, 1 · c} ,B − A is {0 · a, 1 · b, 4 · d} and A + B is {5 · a, 5 · b, 1 · c, 4 · d}.
We will use the given multisets A and B:
A = {3 · a, 2 · b, 1 · c}
B = {2 · a, 3 · b, 4 · d}
a) A ∪ B (union): This operation combines all elements of both multisets.
A ∪ B = {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d}
b) A ∩ B (intersection): This operation finds the common elements between both multisets.
A ∩ B = {2 · a, 2 · b} (as a and b are the common elements)
c) A − B (difference): This operation removes elements in B from A.
A − B = {1 · a, 0 · b, 1 · c}
d) B − A (difference): This operation removes elements in A from B.
B − A = {0 · a, 1 · b, 4 · d}
e) A + B (sum): This operation adds the counts of the elements in both multisets.
A + B = {5 · a, 5 · b, 1 · c, 4 · d}
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Which rectangular prism will have the largest volume?
l = 4 cm, w = 5 cm, h = 3 cm
h = 3 cm, l = 6 cm, w = 3 cm
w = 6 cm, h = 6 cm, l = 2 cm
w = 3 cm, l = 5 cm, h = 5 cm
I NEEEEED HALPPPPPPPP
Answer: D. 75 cm³
Step-by-step explanation:
To find the volume of a rectangular prism, we use the formula V=lwh. All we have to do is find the volume of each answer choice and find the largest volume.
A.
V=4×5×3=60 cm³
B.
V=3×6×3=54 cm³
C.
V=6×6×2=72 cm³
D.
V=3×5×5=75 cm³
Looking at the answer choices, the largest volume is D. 75 cm³.
given: AD ⊥DB, BC ⊥CA and AD ≅CB .Prove ΔADB≅ΔBCA
step 11
Prove
DB=AC
Applying Pythagorean theorem
Right triangle ADB
AB^2=AD^2+DB^2 ------> DB^2=AB^2-AD^2
Right triangle BCA
AB^2=BC^2+AC^2 -----> AC^2=AB^2-BC^2
Remember that
AD=BC
by substitution
AC=DB
step 12
triangle ADB is congruent to triangle BCA by SSS
Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
A population model assumes that the number of people living in Stoverton is increasing by x% each year.
The population is expected to increase by 60% in 6 years, work out the value of x.
Give your answer to 1 decimal place.
Around 9.49% more population increase live in Staverton every year.
What in mathematics is repeated percentage change?Calculating the overall percentage change as a result of multiple successive percentage changes is required for repeated percentage change questions.
Let P be the town's current population, and let r represent the growth rate in decimal form. In six years, the population can be stated as follows:
P * (1 + r)⁶
The problem states that this population is 60% more than the present population, or
P * (1 + 0.6) = 1.6P
Therefore:
1.6P = P * (1 + r)⁶
Dividing both sides by P:
1.6 = (1 + r)⁶
Taking the sixth root of both sides:
(1 + r) = 1.6(1/6)
Subtracting 1 from both sides:
r = 1.6(1/6) - 1
Using a calculator, we find that:
r ≈ 0.0949 or about 9.49%
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