0.0006=6x10^-4
Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.
Answer:
0.0006
Step-by-step explanation:
A number in scientific notation if it has the form a × 10ⁿ.
A negative exponent indicates
A number between 0 and 1. That the decimal point is shifted that number of places to the left.6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.
Thus, 6 × 10⁻⁴ becomes 0.0006
use the subtraction method to solve the system of equations 5x+2y=1 y=-x+2
A(-1,3)
b(-2,4)
c(-3,5)
d(-3,8)
The correct choice is A(-1,3)
Step-by-step explanation:See the attached figure
Find the area of the irregular figure. I've been stuck on this for awhile. Please help and explain how you did it.
Answer: 368 ft^2
Step-by-step explanation:
Pretend it is a square and multiply both sides (23*20=460). The triangle that is cut out has an area of 92 (23*8/2). We know the height of the triangle is 8 because 20-12. We subtract 460-92 and get our answer. :)
to the risk of sounding redundant, as the previous posting is absolutely correct.
Check the picture below.
we know the circum-inscribing figure is a square, namely a 23x20, so it has an area of 23*20 = 460 ft².
the distance from the bottom up, is 20, however to the tip of the triangle is 12, so the diffference is 20 - 12 = 8, meaning the triangle, in yellow, has a height/altitude of 8 ft, and we know its base is 23 ft.
so if we simply take the whole area of the square, and then subtract the area of the triangle, we're in effect making a whole in the squarish area, and what's leftover is the shaded area.
[tex]\bf \stackrel{\textit{square's area}}{(23\cdot 20)}~~~~-~~~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(23)(8)}\implies 460~~-~~92\implies 368~ft^2[/tex]
Plllllzzzzzzzzzzzzz!!!!!!!!
Answer:
Alternative C is correct;
Yes, there is evidence at the 5% significance level
Step-by-step explanation:
To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;
β=0
against the alternative;
β≠0
From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%
Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.
How many thirds are in 1/3?
Answer: One
Step-by-step explanation:
If you say the fraction out loud, it it pronounced one third.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷There are 3 thirds on one third, because if something is one THRID, that means it is one out of three parts. One third of one third is 1/9.
✽
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TROLLER
On a map, 1 inch equals 25 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities? (In miles)
Answer:
200 miles
Step-by-step explanation:
8x25=200
The actual distance will be 200 miles
Step-by-step explanation:The question states that
1 inch = 25 milesThe distance between two cities is 8 inches
Actual distance would be
8 * 25 = 200
So the actual distance would be 200 miles
Three different members of the set {4,5,6,7,8,9} are chosen at random and added. How many different sums are possible?
A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108 then find how many days are there in the basket explain with reasoning.
Answer:
Step-by-step explanation:
add a picture of the question please
Solution:- A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108
LCM of 3 and 4 = 3×4 = 12
The capacity of the basket is 100.
So, there may be:-
= 12 × 8 +1
= 96 + 1
= 97 eggs.
But, 97 is not divisible by 7.
Again, there may be:
12 × 7 +1 = 85 eggs.
12 × 6 +1 = 73 eggs.
12 × 5 +1 = 61 eggs.
12 × 4 +1 = 49 eggs.
Among these numbers 85 , 73 and 61 are not divisible by 7. But 49 is divisible by 7.
So, the number of eggs in the basket is 49.
[Answer = 49]
Find the center of the circle whose equation is 3x² + 3y² = 75.
Center (0,0)
radius - 5
Hope this help
Which expression is the simplest form of (x^-5/6)^6?
Answer:
Step-by-step explanation:
sistemul digestiv
Answer x^-5
Step-by-step explanation: since (- 5/6)*6=-5
The answer is x^-5
Can you help me with 9 I need your help plz help me I’m begging you so much plz help me I’m begging you plz help me plz it’s an emergency plz help me plz
Answer:
9.) A. integers
Step-by-step explanation:
rational numbers can't have negatives
whole numbers can't have fractions
negative numbers can't have positives
---hope this helps!!
Need to find the sum of 50
Answer:
4600
Step-by-step explanation:
This is an arithmetic sequence with common difference d between consecutive terms.
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][ 2a + (n - 1)d ]
where a is the first term
here a = - 6, d= 4 and n = 50, hence
[tex]S_{50}[/tex] = [tex]\frac{50}{2}[/tex] [ (2 × - 6) + (49 × 4) ]
= 25 ( - 12 + 196 )
= 25 × 184
= 4600
what is six times six take away for plus nine
Hello, thanks for using Brainly!
We are solving 6x6-4+9.
We will do three steps in this case.
First is 6x6, 6x6 is 30.
So now we must keep in our head we have 30 as our first number.
Now, let's -4 from 30. 30-4 is 26.
We just did step 2. Boom!
So, we have 26 as our second number. Let's do our third step.
If we have 26, we need to add 9 to that. To quickly find that we know that 26+10 is 36. That is adding ten, we need 9 so minus 1 from 36 we get 35.
Our final answer is 35.
the volume of a cone with a height of 10 meters is 20 pi cubic meters. what is the diameter of the cone?
To find the diameter of a cone with a given volume and height, use the volume formula, substitute the given values, and solve for the radius. The calculated diameter of this cone is approximately 4.90 meters.
Explanation:To find the diameter of a cone given its volume and height, we can use the formula for the volume of a cone: V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the volume (V) is 20π cubic meters and the height (h) is 10 meters, we can substitute these values into the formula and solve for r.
First, rearrange the formula to solve for r: r = √((3V)/(π×h)). Substitute V = 20π and h = 10 into the equation to get r = √((3×20π)/(π×10)) = √(6) meters. Therefore, the diameter of the cone, which is twice the radius, is 2×√(6) meters, or approximately 4.90 meters.
The diameter of the cone is [tex]\[ d = 4\sqrt{3} \][/tex]
To find the diameter of the cone, we first need to determine the radius of the cone's base. The volume V of a cone can be calculated using the formula:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where r is the radius of the base and h is the height of the cone. Given that the volume V is [tex]\(20\pi\)[/tex] cubic meters and the height [tex]\(h\) is \(10\)[/tex] meters, we can set up the equation:
[tex]\[ 20\pi = \frac{1}{3} \pi r^2 \cdot 10 \][/tex]
[tex]\[ 60 = r^2 \cdot 10 \] \[ \frac{60}{10} = r^2 \] \[ r^2 = 6 \][/tex]
Taking the square root of both sides gives us the radius r:
[tex]\[ r = \sqrt{6} \][/tex]
Since the radius is half the diameter, we can find the diameter d by multiplying the radius by 2:
[tex]\[ d = 2r \] \[ d = 2\sqrt{6} \] \[ \sqrt{6} = \sqrt{2 \cdot 3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]
Thus, the diameter d of the cone is:
[tex]\[ d = 2 \cdot 2\sqrt{3} \][/tex]
[tex]\[ d = 4\sqrt{3} \][/tex]
A given by no real distribution has a mean of 153.1 and a standard deviation of 18.2 would a value of 187 be considered usual or unusual? why?
➷ (18.2 x 2) + 153.1 = 189.5 (this is considered the highest value)
153.1 - (18.2 x 2) = 116.7 (this is considered the lowest value
An unusual value would be more than 2 standard deviations away from the mean in a positive or negative direction.
In this case, the value is less than the highest value.
The value of 187 would be considered usual as it is less than 2 standard deviations away from the mean.
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The value of 187 from a distribution with a mean of 153.1 and standard deviation of 18.2 can be considered 'usual'. This conclusion is reached by calculating the Z-score and determining that it falls within the usual range of +/-2 standard deviations from the mean.
Explanation:The question provided is one that tackles the subject of statistics, more specifically, the concepts of mean, standard deviation, and the identification of data as being usual or unusual. The distribution in question has a mean of 153.1 and a standard deviation of 18.2. With a value of 187, we need to determine whether it would be considered usual or unusual.
To answer this, we would utilize the concept of Z-score, which measures how many standard deviations an element is from the mean. A Z-score of +/- 2 or more is generally considered unusual. Let's compute:
Z = (X - μ) / σ
Where:
X is the value, 187 in this case μ is the mean, which is 153.1 σ is the standard deviation, which is 18.2
Substitute these into the Z-score formula:
Z = (187 - 153.1) / 18.2 = 1.86
As the Z score is within the range of +/-2, the value 187 is thus interpreted as usual.
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a human red blood cell is about 0.00000 8 in diameter. Put this number in scientific notation.
Answer:
[tex]\large\boxed{0.000008=8\cdot10^{-6}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot10^k[/tex]
where 1 ≤ a < 10 and k ∈ Z.
0.000008
You must move the comma 6 places to the right.
[tex]0\underbrace{.000008}_{6\rightarrow}=8\cdot10^{-6}[/tex]
[tex]0.000008=\dfrac{8}{1,000,000}=8\cdot10^{-6}[/tex]
To express the diameter of a human red blood cell in scientific notation, we can write it as 8.0 × 10^-6 meters.
Explanation:The diameter of a human red blood cell is approximately 0.000008 meters. To express this number in scientific notation, we can use the concept of significant figures. In this case, the leading zeros are not significant, so we can write the number as 8.0 × 10-6 meters. This scientific notation represents the size of a human red blood cell.
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Write the product in the simplest form 3x1/6
Answer:
1/2
Step-by-step explanation:
3 * 1/6 = 3/6
Which can simplify to 1/2 if you divide the top and bottom by 2.
The product 3x1/6 simplifies to 1/2.
To simplify the product 3x1/6, we need to perform the multiplication and express the result in its simplest form.
First, let's calculate the product:
3 x 1/6 = 3/1 x 1/6 = 3/6
Now, we can simplify the fraction 3/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:
3/6 ÷ 3/3
The divided by six by three by three
= (3 ÷ 3) / (6 ÷ 3)
=3/3×3/6
= 1/2
Therefore, the product 3x1/6 simplifies to 1/2.
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Which statement describes the value of the expression 15*(8+45)?
795
first u multiple the 15 with 8 & 45 then u add
SOMEONE PLEASE HELP ME!!!!!!!!!!!!1
The correct equation is . n + 45.60 - 15.75. Option C is correct.
Let n represent William's balance before writing the check (unknown).
He wrote a check for $45.60, so this amount needs to be subtracted from his original balance.
After writing the check, his balance became -$15.75. Since a negative balance indicates he owes money, we can represent this with -15.75.
To find his original balance (n), we need to add the amount he subtracted (check amount) and then consider the ending balance.
Therefore, the equation that accurately represents the situation is:
n (original balance) + $45.60 (check amount) - $15.75 (ending balance) = n + 45.60 - 15.75
complete question:
On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to -$15.75. Suppose n represents William's balance before he wrote the check.
Which equation can be used to represent this situation?
A. n-15.75-45.60
B. п-15.7545.60
C. n+45.60 -15.75
D. n-45.60-15.75
Sunil receives a 20% discount on a concert ticket that costs $75. If Sunil pays $3.30 in sales tax on the discounted ticket, what is the sales tax rate?
Answer:
5.5%
Step-by-step explanation:
100%-20%=80%
80%×$75=$60
3.30/60×100%=5.5%
the sales tax rate is 5.5%
Final answer:
The sales tax rate on Sunil's discounted concert ticket is found by calculating the discounted ticket price and then dividing the sales tax paid by this discounted price, resulting in a sales tax rate of 5.5%.
Explanation:
To find the sales tax rate, we need to calculate the discounted price of the concert ticket and then use the amount of sales tax paid to determine the rate. Initially, Sunil receives a 20% discount on a $75 ticket.
The calculation for the discount amount is $75 × 0.20 = $15. Thus, Sunil's discounted ticket price is $75 - $15 = $60.
Now, knowing Sunil paid $3.30 in sales tax for the discounted ticket, we can find the sales tax rate by dividing the sales tax amount by the discounted ticket price:
$3.30 ÷ $60 = 0.055, or 5.5% when converted to a percentage. Therefore, the sales tax rate is 5.5%.
if f(x)=-3x+4 and g(x)=x2, what is (g°f)(0)
Answer:
16
Step-by-step explanation:
Answer:
[tex](g\circ f)(0)=16[/tex]
Step-by-step explanation:
The given functions are
[tex]f(x)=-3x+4[/tex] and [tex]g(x)=x^2[/tex]
We first find the composition; [tex](g\circ f)(x)[/tex]
[tex](g\circ f)(x)=g(f(x))[/tex]
[tex](g\circ f)(x)=g(-3x+4)[/tex]
[tex](g\circ f)(x)=(-3x+4)^2[/tex]
We now plug in x=0, to obtain;
[tex](g\circ f)(0)=(-3(0)+4)^2[/tex]
[tex](g\circ f)(0)=(4)^2[/tex]
[tex](g\circ f)(0)=16[/tex]
Solve graphically the system of linear equations: 3x−2y=6 3x+10y=−12
Please help me
Answer:
The solution of the system of equations is the point [tex](1,-1.5)[/tex]
Step-by-step explanation:
we have
[tex]3x-2y=6[/tex] -----> equation A
[tex]3x+10y=-12[/tex] -----> equation B
we know that
The solution of the system of equations is equal to the intersection point both graphs
using a graphing tool
The intersection point is [tex](1,-1.5)[/tex]
therefore
The solution of the system of equations is the point [tex](1,-1.5)[/tex]
a scale on a map shows that 2 inches =25 miles part A how many inches on the map represents 60 miles part B how many miles are represented by 1 over 4 inch on the map
Answer:
Answer: part a is 4.8 and part b is 3.125
Step-by-step explanation:
PART A. 60/25 = 2.4 (inches)
PART B. 25/4 = 6.26 (miles)
Hope this helps! Please mark me as brainliest if it did.
18 + n + 14 = -18 − 9n
What is the simplified expression for –3cd – d(2c – 4) – 4d?
Answer:
[tex]\boxed{\bold{-5cd}}[/tex]
Step By Step Explanation:
[ Step One ] Expand [tex]\bold{-d\left(2c-4\right)}[/tex]
[tex]\bold{-2cd+4d}[/tex]
[ Step Two ] Rewrite Equation
[tex]\bold{-3cd-2cd+4d-4d}[/tex]
[ Step Three ] Simplify [tex]\bold{-3cd-2cd+4d-4d}[/tex]
[tex]\bold{-5cd}[/tex]
Answer:
The Answer is -5CD when simplified
Step-by-step explanation:
1) Distributive property
-3cd - d ( 2c - 4 ) - 4d
Turns to: 3cd -2cd + 4d - 4d Multiplying to negative give you a positive.
2) combine like terms
-3cd - 2cd = -5cd
4d - 4d = 0
3) Answer
-5cd is your answer
Hopes this helps!
Defining congruent triangles
All angles are the same and all side lengths are equal/congruent
Congruent triangles are triangles that have the same size and shape, with corresponding sides and angles that are equal. They can be proven congruent using criteria such as SSS, SAS, and ASA.
Explanation:**Congruent triangles** are triangles that have the same size and shape. In other words, all corresponding sides and angles of congruent triangles are equal. There are several ways to prove that triangles are congruent, such as the Side-Side-Side (SSS) Criteria, Side-Angle-Side (SAS) Criteria, Angle-Side-Angle (ASA) Criteria, and more. For example, if two triangles have the same length for each corresponding side, they are congruent.
Can you please help me with this
Answer: D.
Step-by-step explanation: it’s D because when you do the volume of mode A, you get 48 units. When you do the volume of model B you get 40 units. Use the formula V=length x width x height!
nutritionist filing her federal income tax return with the single filing status had a gross income of $34,200. If she made 1,000 contribution to an IRA if she takes a standard deduction of $5,700, claims only herself as an exemption for $3,650 and makes no further adjustments to income fund the amount of taxes she has to pay
Answer:
3160
Step-by-step explanation:
Answer:
3160
Step-by-step explanation:
Which numbers are solutions to the inequality?
The answers are 0, 2, and 4. The other ones turn out to be greater than 6
Answer:0,2,4
Step-by-step explanation:
EGDE 2023
4. The MAD of a set of six data values is 10. The mean is 20. What could the data values be? Show that the mean is 20 and the MAD is 20.
5. Five students scored 80 on a test, five students scored 85. and five students scored 90. Finish the statements below.
A. The mean is ...
A. The Median is...
A. The range is...
A. The MAD is..
6. In a survey, 10 students and 10 teachers were asked how many hours of sleep they get each night. Here are the results.
Students: 7,6,8,9,8,9,10,10,10
Teachers: 6,6,4,5,7,8,7,8,8,8,
What is the mean of each data set? What do the means tell you about each data set?
1.MAD Calculation: A possible set of data values that yield a mean of 20 and a MAD of 10 is: 10, 20, 20, 20, 30, 40.
2. Five Students' Test Scores: Mean = 85, Median = 85, Range = 10, MAD ≈ 3.33.
3. Survey Data: Students' mean sleep = 7.7 hours; Teachers' mean sleep = 6.7 hours.
let's go through each question step by step:
1. MAD Calculation:
The Mean Absolute Deviation (MAD) is the average of the absolute deviations from the mean of a dataset. Given that the MAD of the set of six data values is 10 and the mean is 20, we need to find the data values that satisfy these conditions.
Let's denote the data values as (x_1, x_2, x_3, x_4, x_5, x_6).
The mean is given as:
[tex]\[ \text{Mean} = \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6}{6} = 20 \][/tex]
Multiplying both sides by 6 gives us:
[tex]\[ x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 120 \][/tex]
Now, we need to find a set of values that satisfy this equation and also have a Mean Absolute Deviation of 10.
The Mean Absolute Deviation (MAD) formula is:
[tex]\[ \text{MAD} = \frac{|x_1 - \text{Mean}| + |x_2 - \text{Mean}| + |x_3 - \text{Mean}| + |x_4 - \text{Mean}| + |x_5 - \text{Mean}| + |x_6 - \text{Mean}|}{6} \][/tex]
Given MAD = 10, and Mean = 20, we have:
[tex]\[ 10 = \frac{|x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20|}{6} \][/tex]
Multiplying both sides by 6, we get:
[tex]\[ 60 = |x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20| \][/tex]
Now, we need to find a set of six values that satisfy both equations.
There are multiple possible sets of values that satisfy these equations. One such set could be:
[tex]\[ x_1 = 10, \ x_2 = 20, \ x_3 = 20, \ x_4 = 20, \ x_5 = 30, \ x_6 = 40 \][/tex]
You can verify that these values satisfy both the mean and the MAD conditions.
2. Five Students' Test Scores:
Given:
- Five students scored 80 on a test,
- Five students scored 85, and
- Five students scored 90.
A. The mean:
[tex]\[ \text{Mean} = \frac{(5 \times 80) + (5 \times 85) + (5 \times 90)}{15} = \frac{400 + 425 + 450}{15} = \frac{1275}{15} = 85 \][/tex]
B. The Median:
Since there are an odd number of data points (15), the median will be the 8th value when the data is arranged in ascending order. Since each score (80, 85, 90) appears 5 times, the median is 85.
C. The Range:
The range is the difference between the highest and lowest values:
[tex]\[ \text{Range} = 90 - 80 = 10 \][/tex]
D. The MAD:
To find the MAD, we first calculate the deviations from the mean for each data point, take their absolute values, and then find their mean.
[tex]\[ \text{MAD} = \frac{|80 - 85| + |80 - 85| + \ldots + |90 - 85|}{15} \][/tex]
[tex]\[ = \frac{5|80 - 85| + 5|85 - 85| + 5|90 - 85|}{15} \][/tex]
[tex]\[ = \frac{5(5) + 5(0) + 5(5)}{15} = \frac{50}{15} \approx 3.33 \][/tex]
3. Survey Data:
Given:
Students: 7, 6, 8, 9, 8, 9, 10, 10, 10
Teachers: 6, 6, 4, 5, 7, 8, 7, 8, 8, 8
A. Mean of students' data set:
[tex]\[ \text{Mean} = \frac{7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10}{10} = \frac{77}{10} = 7.7 \][/tex]
B. Mean of teachers' data set:
[tex]\[ \text{Mean} = \frac{6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8}{10} = \frac{67}{10} = 6.7 \][/tex]
The means tell us that, on average, students get slightly more sleep per night compared to teachers.
Which inequality best represents the graph?
a. y<1/2x-1
b. y≤2x-1
c. y<2x-1
d. y≤1/2x-1
Answer:
Last option
y ≤ 1/2 x - 1
Step-by-step explanation:
The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.
The colored grey is shaded below the line, so the symbol is ≤.
So either y≤1/2x-1 or y≤2x-1
Now we have to find the slope to see which equation is the right one.
(2,0) and (0,-1)
Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1
So equation:
y ≤ 1/2 x - 1
The correct inequality that represents the graph is y≤2x-1.
Explanation:In this question, we are asked to determine which inequality best represents the graph. From the given options, the correct choice is b. y≤2x-1. This choice represents a graph where y is less than or equal to 2x minus 1. To verify this, we can examine some points on the graph.
For example, let's test the point (0,0). Substituting these values into the inequality, we get 0 ≤ 2(0) - 1, which simplifies to 0 ≤ -1. Since this statement is true, the point (0,0) lies on the graph. Similarly, we can test other points to confirm that the inequality correctly represents the graph.
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