Answer:
[tex]\large\boxed{0.000000057=5.7\cdot10^{-8}}[/tex]
Step-by-step explanation:
[tex]\text{Scientific notation:}\\\\a\cdot10^k\\\\\text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}\\-------------------------\\\\0\underbrace{.00000005}_{8\rightarrow}7=5.7\cdot10^{-8}[/tex]
If you move the comma several places to the right, the exponent at 10 is negative.
If you move the comma several places to the left, the exponent at 10 is positive.
What is the equation of the line? Be sure to scroll down first to see all answer options. (-3,9) (0,0)
Answer:
Option D [tex]y=-3x[/tex]
Step-by-step explanation:
we have the points
(-3,9) and (0,0)
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the line passes through the origin, then the line represent a direct variation
Find the constant of proportionality k
[tex]k=y/x[/tex]
For the point (-3,9)
[tex]k=9/-3=-3[/tex]
so
the equation is
[tex]y=-3x[/tex]
Answer:
y = -3x
Step-by-step explanation:
it's what the test said
Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?
Yes, because 1st picture
Yes, because 2nd picture
No, because 3rd picture
No, because 4th picture
Answer:
Yes, because 2nd picture
Step-by-step explanation:
we know that
If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right triangle
The Pythagoras Theorem states that
[tex]c^{2}=a^{2}+b^{2}[/tex]
where
c is the greater side
a and b are the legs of triangle
we have
[tex]c=70\ ft[/tex]
[tex]a=42\ ft[/tex]
[tex]b=56\ ft[/tex]
substitute
[tex]70^{2}=42^{2}+56^{2}[/tex]
[tex]4,900=4,900[/tex]
therefore
Is a right triangle
Final answer:
Kelsey's porch does form a right triangle because the sum of the squares of the side lengths (42 feet and 56 feet) equals the square of the hypotenuse (70 feet) when applying the Pythagorean Theorem.
Explanation:
To determine if Kelsey's porch forms a right triangle, we need to apply the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two perpendicular sides (a and b) is equal to the square of the length of the hypotenuse (c).
The formula is a² + b² = c².
For Kelsey's porch, the side lengths are:
Side a = 42 feet
Side b = 56 feet
Side c (potential hypotenuse) = 70 feet
Let's calculate:
42² + 56² = 70²
1764 + 3136 = 4900
4900 = 4900
Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the porch does form a right triangle. The answer is Yes.
A rectangular porch has dimensions of (2x+3) feet and (x+9) feet. the area of the porch is 500 square feet. what are the length and width of the porch?
Answer:
The dimensions of the porch are [tex]25\ ft[/tex] by [tex]20\ ft[/tex]
Step-by-step explanation:
we know that
The area of the porch is equal to the length multiplied by the width
[tex]A=(2x+3)(x+9)[/tex]
[tex]A=500\ ft^{2}[/tex]
so
[tex]500=(2x+3)(x+9)[/tex]
Solve for x
[tex]500=2x^{2} +18x+3x+27\\ \\2x^{2} +21x-473=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=11\ ft[/tex]
see the attached figure
The dimensions are
[tex](2x+3)=2(11)+3=25\ ft[/tex]
[tex](x+9)=11+9=20\ ft[/tex]
Use the example above and determine the fraction of total interest paid. After the seventh month of a 12-month loan: the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} = , and the denominator is: {(n) + (n + 1) + ... + (n + 11)} = . Therefore, the fraction is numerator/denominator (to the nearest tenth) =
Answer:
Step-by-step explanation:
Determine the fraction of total interest owed.
After the seventh month of a 12-month loan,
the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} =
(63)
, and
the denominator is: {(n) + (n + 1) + ... + (n + 11)} =
(78)
.
Therefore, the fraction is numerator/denominator (to the nearest tenth) =
(80.8) %.
To determine the fraction of total interest paid after the seventh month of a 12-month loan, find the numerator and denominator, calculate the sums, and divide them.
Explanation:To determine the fraction of total interest paid after the seventh month of a 12-month loan, we need to find the numerator and denominator of the fraction. The numerator is given by the sum of all the amounts owed in the previous months, while the denominator is the sum of all the amounts owed for the entire loan term.
In this case, the numerator is {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}, and the denominator is {(n) + (n + 1) + ... + (n + 11)}. Simply calculate these sums and then divide the numerator by the denominator to obtain the fraction of total interest paid.
For example, if n = 100, the numerator would be {(100 + 11) + (100 + 10) + (100 + 9) + (100 + 8) + (100 + 7) + (100 + 6) + (100 + 5)} and the denominator would be {(100) + (100 + 1) + ... + (100 + 11)}. Once you have the numerator and denominator, divide them to get the fraction, which can be represented as a decimal to the nearest tenth.
Learn more about Fraction of Total Interest here:https://brainly.com/question/14237603
#SPJ3
Which equation is equivalent to the formula below?
y = a(x – h)^2 + k
The equivalent equation of the provided equation y = a(x - h)² + k will be given as y = ax² + ah² + 2ahx + k.
What is an equivalent equation?The equivalent is the equations that are in different forms but are equal to the same value.
The equation of the parabola is given below.
y = a(x - h)² + k
Then open the bracket, we have
y = a(x² + h² - 2xh) + k
y = ax² + ah² + 2ahx + k
More about the equivalent equation link is given below.
https://brainly.com/question/889935
#SPJ2
The correct answer is option D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]
Let's analyze each option:
A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex].
Rearrange equation: [tex]x+h = \pm\sqrt{\frac{y-k}{a} }[/tex].
Here we can see a term of x+h, but this is not correct as the formula has (x-h). Hence this option is incorrect.
B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]
Rearrange equation: [tex](\frac{y-k}{a})^2 = x-h[/tex]
we can see that degree of y term is 2 and that of x term is 1 which not correct as in the formula x has degree =2 and y has degree. = 1.
C. [tex]k = y+(x-h)^2[/tex]
This is incorrect as the equation doesn't include 'a' whereas the formula includes 'a'.
D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]
Cross multiplying: [tex]y- k = a(x-h)^2[/tex]
Rearrange: [tex]y = a(x-h)^2+k[/tex]
This equation is equivalent to the formula.
The complete question is:
Which equation is equivalent to the formula below?
[tex]y = a(x - h)^2 + k[/tex]
A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex]
B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]
C. [tex]k = y+(x-h)^2[/tex]
D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]
HELP PLEASE!!!! OFFERING POINTS!
The numbers 1 through 8 are to be placed in the circles in the diagram shown such that the sum of the numbers on each side of the figure is 15. Find the values of x, y, and z. Then copy the diagram on a piece of paper and fill in each circle with the appropriate number. Be sure to show all your work. Upload the finished problem below.
Note: x satisfies –4(x – 2) = –4,
y satisfies 9 + 2(y – 3) = 3(y – 2) + 1,
and z satisfies z/3+1/2=5/2.
Answer:
find the missing numbers
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for x
- 4 (x - 2) = - 4 There are a a couple of ways of doing this. Divide by - 4
-4 (x - 2)/-4 = - 4/-4 Combine
x - 2 = 1 Add 2
x = 3
Solve for y
9 + 2(y - 3) = 3(y - 2) + 1 Remove the brackets on both sides.
9 + 2y - 6 = 3y - 6 + 1 Combine
9 - 6 + 2y = 3y - 5
3 + 2y = 3y - 5 Add 5
3 + 5 + 2y = 3y Subtract 2y
8 + 2y - 2y = 3y - 2y
8 = y
Solve for z
z/3 + 1/2 = 5/2 Subtract 1/2 from both sides.
z/3 + 1/2 - 1/2 = 5/2 - 1/2 Combine
z/3 = 4/2
z/3 = 2 Multiply by 3
z/3*3 = 2*3
z = 6
So far what you have is
3
==
8 || 6
== must = 4 because 3 + 8 + 4 = 15
|| must = 1 because 8 + 6 + 1 = 15
You have 3 numbers left to place 5,7,2
The right hand upper corner = 7.
I'll leave you to place the 5 and 2
Given that a student prefers fiction novels, what is the probability that they are also in 10th grade (52 10th graders) out of 107 students
52/107= .486 so there’s a 48.6% that they are in 10th grade
What is the approximate area of the figure?
86.9 square centimeters
137.1 square centimeters
162.2 square centimeters
212.5 square centimeters
Answer:
137.1
Step-by-step explanation:
Add the area of the semicircle to the area of the rectangle. The area of the semicircle is going to be [tex]\pi r^{2}[/tex] / 2. r standing for radius. the radius is 4 (half of the diameter). When you plug in 4 for r you get approximately 25.1. Then you have to add that to the area of the rectangle which is just 14x8 which equals 112.
25.1 + 112 = 137.1
Answer:
137.1
Step-by-step explanation:
So what you wana do is multiply 8 x 14 which equal 112 so u can rule out 212.5 (too big) and 86.9 (too little) now u have 137.1 and 162.2 now what u wana do is look at the nearest one cause the space we have left is very small so know we can rule out 162.2 so your answer is 137.1!
Foot note: plz tell me if this helps!
Write the following parametric equations as a rectangular equation by
eliminating the parameter.
x=6-t
y= 3t-4
Show all work.
Answer:
3x + y = 12
Step-by-step explanation:
x = 6 - t
y = 3t - 4
We have to convert these equations in rectangular form which means that we have to express them in terms of x and y only. For this we have to eliminate "t".
From first equation we get the value of t as:
x + t = 6
t = 6 - x
Using this value in second equation, we get:
y = 3(6 - x) - 4
y = 18 - 3x - 12
3x + y = 6
This is the equation in rectangular form.
What is the area of a rectangle with a length of 7.5 feet and a width of 8 feet?
31 ft2
56 ft2
56.5 ft2
60 ft2
Answer:
d 60 ft 2
Step-by-step explanation:
The area of a rectangle is length*width so the area of this rectangle is 7.5 * 8 or 60ft²
simplify the expression 4u/ 25u
Answer:
Answer is 6.23u because ,
For this case we must simplify the following expression:
[tex]\frac {4u} {25u} =[/tex]
We must cancel similar terms of the numerator and denominator:
[tex]\frac {4} {25} =[/tex]
The decimal form of the expression is obtained by replacing the values in a calculator:
[tex]\frac {4} {25} = 0.16[/tex]
ANswer:
0.16
Can someone help me please
Answer:
Square
Step-by-step explanation:
The length of AB is (a+b)-a = b. The length of BC is b-0 = b. So, adjacent sides are the same length. AB has a constant y-value, so is horizontal. BC has a constant x-value, so is vertical.
A figure with horizontal and vertical sides of the same length is a square.
Use the data set below to answer the following question.
2, 4, 7, 2, 3, 7, 9, 3, 1, 7
What is the mean absolute deviation (MAD) of this data set?
Answer:
The mean absolute deviation (MAD) of this data set is 2.4
Step-by-step explanation:
step 1
Find the mean
To find out the mean sum all values and divide by the number of values in the data set
we have the set of data
[tex][2, 4, 7, 2, 3, 7, 9, 3, 1, 7][/tex]
The number of values is 10
so
The mean is equal to
[tex][2+4+7+2+3+7+9+3+1+7]/10=45/10=4.5[/tex]
step 2
Find out the absolute value of the difference of each value from that mean
[tex]\left|2-4.5\right|=2.5[/tex]
[tex]\left|4-4.5\right|=0.5[/tex]
[tex]\left|7-4.5\right|=2.5[/tex]
[tex]\left|2-4.5\right|=2.5[/tex]
[tex]\left|3-4.5\right|=1.5[/tex]
[tex]\left|7-4.5\right|=2.5[/tex]
[tex]\left|9-4.5\right|=4.5[/tex]
[tex]\left|3-4.5\right|=1.5[/tex]
[tex]\left|1-4.5\right|=3.5[/tex]
[tex]\left|7-4.5\right|=2.5[/tex]
so
we have
[tex][2.5, 0.5, 2.5, 2.5, 1.5, 2.5, 4.5, 1.5, 3.5, 2.5][/tex]
step 3
we know that
The Mean Absolute Deviation (MAD) is the mean of those distances
[tex][2.5+0.5+2.5+2.5+1.5+2.5+4.5+1.5+3.5+2.5]/10=24/10=2.4[/tex]
therefore
The mean absolute deviation (MAD) of this data set is 2.4
Find the volume of this irregular figure.
Answer:
360
Step-by-step explanation:
mark out 10cm and 3cm
now you multiply 8*5*9
l*w*h
****** this symbol represent multiplication
I Really Need Help!!!!! :)
Answer:
Hence first graph is the correct answer.
T I
1 28
2 56
3 84
4 112
Step-by-step explanation:
Given that initial amount P = $400
Simple rate of interest = R = 7% = 0.07
Time t= 1,2,3,4 years.
Then apply Simple interest formula to find the total interest earned in the given years.
I=PRT
for t=1 year
I=PRT=400(0.07)(1)=28
for t=2 year
I=PRT=400(0.07)(2)=56
for t=3 year
I=PRT=400(0.07)(31)=84
for t=4 year
I=PRT=400(0.07)(4)=112
Now we have table as shown below:
T I
1 28
2 56
3 84
4 112
Graphing these points we see that obtained graph best matches with First choice .
Hence first graph is the correct answer.
70 points
Please answer and if possible explain. I've asked this question 3 times already hence the high points.
Thank you!
multiply and simplify -3x^2y^2 * y^4x3
a. -3x^5y^6
b. -3x^6y^2
c. 9x^5y^2
d. -3x ^5y^2
Answer:
A
Step-by-step explanation:
-3x²y² × y⁴x³
When multiplying, add the exponents:
-3x⁽²⁺³⁾y⁽²⁺⁴⁾
-3x⁵y⁶
Answer is A.
Answer:
A.Step-by-step explanation:
[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=(-3)(x^{2+3})(y^{2+4})\\\\=-3x^5y^6[/tex]
Help me with#7 and #2 please?
7 is bases number two , I'm not sure it sounds like similar makes more sense , but not sure for 2
combine the like terms in the following 5y-2x+6+4x+8y-2
Answer:
2x+13y+4
Step-by-step explanation:
So what you want to do is, take 8y multiple that by 2 which is 16y. Then you take 16y and 5y add those together which is 21y.your gonna do the same thing with 4x and -2x which is 2x.and then bring down the 6. Answer(2x+21y+6)
The difference between a and b
Answer:
The relative complement or set difference of sets A and B, denoted A – B, is the set of all elements in A that are not in B. ... Then the set difference of A and B would be the $407 remaining in the checking account. Example: Let A = {a, b, c, d} and B = {b, d, e}. Then A – B = {a, c} and B – A = {e}.
Step-by-step explanation:
Well, I hope this helps!
The algebraic representation of the expression The difference between a and b is 6 is a - b = 6
How to determine the algebraic representation of the expressionFrom the question, we have the following parameters that can be used in our computation:
The difference between a and b is 6
By definiton:
difference means subtraction/minus
Using the above as a guide, we have the following:
a - b = 6
When solved, we have
a - b = 6
Hence, the algebraic representation of the expressionis a - b = 6
Read mroe about expressions at
brainly.com/question/30492964
#SPJ3
Question
Translate the sentence into an equation.
The difference between a and b is 6
Given the formula 1/2(base)(height), what area can you find? a. area of a parallelogram c. area of a trapezoid b. area of a triangle d. area of a rectangle
Answer: b. Area of a triangle.
Step-by-step explanation:
a. The formula for calculate the area of a parallelogram is:
[tex]A_{p}=b*h[/tex]
Where "b" is the base and "h" is the height.
Then, with the given formula you can't find the area of a parallelogram.
b. The formula for calculate the area of a triangle is:
[tex]A_{tr}=\frac{1}{2}(b*h)[/tex]
Where "b" is base and "h" is the height.
Then, with the given formula you can find the area of a triangle.
c. The formula for calculate the area of a trapezoid is:
[tex]A_{tp}=\frac{h}{2}(B+b)[/tex]
Where "B" is the larger base ,"b" is the smaller base and "h" is the height.
Then, with the given formula you can't find the area of a trapezoid.
d. The formula for calculate the area of a rectangle is:
[tex]A_{r}=l*w[/tex]
Where "l" is the lenght and "w" is the width.
Then, with the given formula you can't find the area of a rectangle.
Help 20 points!!!!!
What would the area of each triangle be if the base is 10 and the height is 3/5?
Answer:
Area=3
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (10) (3/5)
A = 3
How do I solve a system of equations using substitution?
Answer:
A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. We're going to explain this by using an example. We can substitute y in the second equation with the first equation since y = y.
Hope This Helps! Have A Nice Day!!
Answer:
yes
Step-by-step explanation:
Answer
0
drmallery
Ace
710 answers
106.6K people helped
Answer:
X=1, y=3
Step-by-step explanation:
X + y = 4
y=3x
x+ 3x=4 substitute y value of second equation (3x) in y value of 1st equation
4x=4 solve for x
x=1
solve for y by putting x value (4) in either equation:
x+y=4
1+y=4
y=3
check answers using both equations:
x+y=4
1+3=4
4=4
or
y=3x
3=3(1)
3=3
Plz help me ASAP I will give Brainliest if right. What is the probability that he gets a number less than 4 or A multiple of 4?
Answer:
5/8
Step-by-step explanation:
The sectors are labeled 1,2,3,4,5,6,7,8
Numbers less than 4: 1,2,3
Multiples of 4: 4,8
We are looking for 1,2,3,4,8 = 5 choices
P (1,2,3,4,8) = Number of choices/ total
= 5/8
A rectangular field is enclosed by 600 feet of fencing. What is the length, in feet, of the field if its length is 10 feet more than its width?
To find the length of the rectangular field, set up an equation using the given information and solve for the width. Then, add 10 to the width to find the length of the field.
Explanation:To find the length of the rectangular field, we can set up an equation using the given information. Let's let x represent the width of the field. Since the length is 10 feet more than the width, we can represent the length as x+10. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter is 600 feet, so we can set up the equation: 600 = 2(x+10) + 2x. Solving this equation will give us the value of x, which represents the width. Once we have the width, we can find the length by adding 10 to the width.
Let's solve the equation:
600 = 2(x+10) + 2x600 = 2x + 20 + 2x600 = 4x + 20580 = 4xx = 145The width of the field is 145 feet. To find the length, we add 10 to the width: 145 + 10 = 155 feet. Therefore, the length of the field is 155 feet.
if ∠OLN =31° and ∠MLO=52°, what is ∠MLN?
21°, 22°, 25°, 26°
Answer:
∠MLN = 21°
Step-by-step explanation:
∠MLN = ∠MLO - ∠OLN = 52° - 31° = 21°
$580 at 2% interest over 6 months
Answer:
$499.8
Step-by-step explanation:
Principal=$580
Time=6 months=1/2 year
rate=2% p.a.
prt=580*2*1
---------------
2*100
=$499.80
Answer:
Simple Interest over the given time interval will be $5.80
Step-by-step explanation:
Principal Amount = $580
Rate of Interest = 2%
= 0.02
Time = 6 months
= 0.5 years
Now, Simple Interest is given by the formula :
Simple Interest = Principal × Rate × Time
⇒ Simple Interest = 580 × 0.02 × 0.5
⇒ Simple Interest = $5.80
Thus, Simple Interest over the given time interval will be $5.80
A raised garden bed contains 32 cubic feet of dirt the bed is 6 feet wide and 8 feet long. how deep is the dirt?
Answer:
The dirt is [tex]\frac{2}{3}ft[/tex] deep
Step-by-step explanation:
The raised garden bed has width, w=6ft.
The length of the garden bed is;
l=8ft
The height, h is how deep, the dirt is.
The volume of dirt the garden bed contains is 32 cubic feet.
The volume is given by the formula;
[tex]Volume=l\times w\times h[/tex]
We substitute the given values and solve for x.
[tex]32=8\times 6\times h[/tex]
[tex]32=48h[/tex]
[tex]h=\frac{32}{48}[/tex]
[tex]h=\frac{2}{3}ft[/tex]
The dirt is [tex]\frac{2}{3}ft[/tex] deep
Answer:
0.66
Step-by-step explanation:
can someone help me with #10 please
X=11 because 90-43+5x-8 so 5•11=55-8 =47 90-43=47
Complementary means the angles together would equal 90°. Supplementary means the angles would equal 180°.
Using Complementary angles:
5x-8+43=90 Combine -8 and 43 = 35
5x+35=90
-35 -35
5x=55
Divide each side by five
x=11
Help?!
It’s due tomorrow
I got you, you'll get a super grade!
D.) Company III has the best discount price of $132.
Option A is incorrect because $49.50 is 25% of $198, not 25% off. Option B is not the best choice because Patricia will end up spending about $30 more. Option C is also not the best option because Patricia can save $16 if she does not chose Company I. So, we are left with our only answer choice, Option D.
Hope this helps ya, please slide me Brainliest :D
Tania took selfies with her 8 cousins. Each cousins is in 2 or 3 picture. There are exactly 5 cousins on each picture. How many selfies did Tania take?
Answer:
4
Step-by-step explanation:
How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )
We know that each cousin appear 2 or 3 times overall.
If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos
If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos
We know there's exactly 5 cousins per photo...
so we have to find a multiple of 5 cousins/photos that is between 16 and 24.
The only possibility is 20 cousins/photos. 20 / 5 = 4 photos.