ANSWER
A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3
EXPLANATION
The numbers are given in standard form.
The first criteria we will use to order them is the exponents.
The bigger the exponents the bigger the number.
The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.
[tex]9.4 * 10^{-8} \: < \: 9.25 * 10^{-6} \: < \: 2.5 * 10^3 \: < \: 7* 10^3[/tex]
The correct choice is A.
Answer:
Option A. [tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]
Step-by-step explanation:
The given numbers are [tex]9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}[/tex].
These are numbers written in scientific notation.
To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.
[tex]9.4\times 10^{-8}[/tex] = 0.000000094
[tex]9.25\times 10^{-6}[/tex] = 0.00000925
[tex]2.5\times 10^{3}[/tex] = 2500
[tex]7\times 10^{3}[/tex] = 7000
Now we can arrange then from least to greatest.
0.000000094 < 0.00000925 < 2500 < 7000
OR
[tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]
Option A. is the answer.
FIRST CORRECT ANSWER GETS BRAINLIEST
Find the slope of the line.
A. –3
B. 3
C. –1/3
D. 1/3
Answer:
A. -3Step-by-step explanation:
Look at the first picture.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, 4) and (2, 1). Substitute:
[tex]m=\dfrac{1-4}{2-1}=\dfrac{-3}{1}=-3[/tex]
Look at the second picture.
The slope m:
[tex]m=\dfrac{rise}{run}[/tex]
[tex]rise=-3\\run=1[/tex]
Substitute:
[tex]m=\dfrac{-3}{1}=-3[/tex]
The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg Find the side lengths of the triangl
Let [tex]x[/tex] be the length of the shorter leg.
The other leg is 1m longer, so its length is [tex]x+1[/tex]
The hypothenuse is 9m longer, so its length is [tex]x+9[/tex]
The pythagorean theorem states that the sum of the squares of the legs is the square of the hypothenuse, so we have
[tex]x^2+(x+1)^2=(x+9)^2[/tex]
Expanding the squares gives
[tex]x^2+x^2+2x+1=x^2+18x+81[/tex]
Move all to the left hand side:
[tex]x^2-16x-80=0[/tex]
This equation has solutions [tex]x=-4[/tex] and [tex]x=20[/tex]
We can't accept the first solution, because it would lead to the side lengths
[tex]x=-4,\quad x+1=-3,\quad x+9=5[/tex]
And we can't have negative side lengths.
The other solution is fine, because it leads to the side lengths
[tex]x=20,\quad x+1=21,\quad x+9=29[/tex]
So, the side lengths are 20 (shorter leg), 21 (longer leg), 29 (hypothenuse)
Answer:
20 m , 21 m and 29 m.
Step-by-step explanation:
Let the length of the shorter leg be x m. Then the longer leg = x + 1 m and the hypotenuse = x + 9 m. So, by Pythagoras:
(x + 9)^2 = x^2 + (x + 1)^2
x^2 + 18x + 81 = x^2 + x^2 + 2x + 1
18x + 81 = x^2 + 2x + 1
x^2 - 16x - 80 = 0
(x - 20)(x + 4) = 0
x = 20, -4 (as we are dealing with lengths of sides we ignore the negative root).
So the sides have length 20, 21 and 29 (answer).
Which expression is equivalent to sqrt 900f^6/100g^4
Answer:
3f³/g²
Step-by-step explanation:
√(900f^6/100g^4) =√(9f^6/g^4)=3f³/g²
Answer:
[tex][3f^{3}g^{-2}][/tex]
Step-by-step explanation:
The given expression is [tex]\sqrt{\frac{900f^{6} }{100g^{4}}}[/tex]
We can rewrite the expression as [tex]\sqrt{\frac{(30f^{3})^{2}}{(10g^{2})^{2}}}[/tex]
Now we can remove the radical of the expression = [tex]\frac{30f^{3} }{10g^{2} }[/tex]
= [tex][\frac{3f^{3} }{g^{2}}][/tex]
= [tex][3f^{3}g^{-2}][/tex]
= [tex][3f^{3}g^{-2}][/tex] is the answer.
what relationship has a zero slope
Answer:
the far left table
In Mathematics, a zero slope represents a horizontal line that can be defined by the equation y = C, where C is a constant, showing no relationship between changes in x and y.
Explanation:In Mathematics, when discussing about slopes, a zero slope signifies that there is no change in y for any change in x. This results in a straight horizontal line when graphed. A real-life example might be that if you were walking on a flat road, the slope of that road is zero because your altitude isn't changing no matter how far you walk horizontally.
The relationship involved in a zero slope scenario can be defined by the equation y = C, where C is a constant. This means that y will remain constant despite any changes in x.
The equation of a line with zero slope can be declared as y = b, where b is the y-intercept. This shows no correlation between x and y as x varies but y remains constant.
Learn more about Zero Slope here:https://brainly.com/question/20383597
#SPJ3
What quadratic has roots x=8 and x= -5
x^2+3x-40
X squared minus 3X -40
X squared +13 X +40
X squared -13 X +40
Answer:
So the correct option is X squared -3 X +40
Step-by-step explanation:
If a polynomial has roots x=8 and x=-5, then we know that the factorized form is:
(x-8)(x+5)
So, to find the polynomial we need to expand the polynomials:
(x-8)(x+5) = (x^2 +5x - 8x + 40) = x^2 -3x + 40
Landry is opening two savings accounts. He is opening the first account with an initial deposit of $500. The account will compound continuously each year at a rate of 3%.
He is opening the second account with an initial deposit of $300. The account will compound continuously each year at a rate of 5%.
Landry would like to know how long it will take for the balance of the two accounts to be equal.
Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not.
Answer:
Never. (Not viable)
Step-by-step explanation:
3% of 500=15
5% of 300=15
Since both of them would get $15 a year, then they would stay the same amount apart. For example, when the first account reached 515 dollars, the second one would be at 315 dollars. Thus, they'd always be 200 dollars apart.
However!
Since it is a compound interest, and if there is the original 7% a year, the formula we'll use for this is the simple interest formula, or:
I=Pxrxt
Where:
P is the principal amount, $500.00.
r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 500 × 0.03 × 5 to get that:
The interest is: $75.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 500.00 + 75.00 = 575.00. For example:
If you borrowed the $500.00, you would now owe $575.00
If you loaned someone $500.00, you would now be due $575.00
If owned something, like a $500.00 bond, it would be worth $575.00 now.
You want to calculate the interest on $300 at 5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
I=Pxrxt
Where:
P is the principal amount, $300.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 300 × 0.05 × 5 to get that:
The interest is: $75.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 300.00 + 75.00 = 375.00. For example:
If you borrowed the $300.00, you would now owe $375.00
If you loaned someone $300.00, you would now be due $375.00
If owned something, like a $300.00 bond, it would be worth $375.00 now.
Answer: there is only one solution and it is viable . ( answer on PLATO)
Step-by-step explanation:
How is 1.35 x 10 -5 written in standard notation?
Answer:
0.0000135
Step-by-step explanation:
Which set of numbers contains only multiplies of 12
12, 16, 20, 24
1, 2, 12, 24
2, 3, 8, 12
12, 24, 36, 48
Answer:
D.
Step-by-step explanation:
A multiple is a number that can be divided by another number without a remainder. These are all multiples of 12 because they can all be divided by another number without a remainder.
an angle represents 2/5 of a circle.
Answer:
114°
Step-by-step explanation:
The angle which represents 2/5 of a circle is 144 degree.
What is Angle?A figure known as an angle is created when two rays, referred to as the angle's sides and vertices, share a single terminal. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
Shaded portion= 2/5
and, the complete angle= 360
So, the 2/5 portion of the angle
= 360 x 2/5
= 720/5
= 144
Hence, the angle of portion 2/8 is 144 degree.
Learn more about Angle here:
https://brainly.com/question/28451077
#SPJ2
What is the median of the data set? [10,15,27,33,33,36,42,47,45,56,78]
Hurry please ASP
the answer would be 36
Answer:
36
Step-by-step explanation:
Cross a number out once on each side. That is, cross out 10 and 78, then 15 and 56, on and on until you get the last number that isn't crossed out. In this case, 36.
Which of the following is equivalent to cos x?
A) TAN Y
B) TAN X
C) COS Y
D) SIN Y
ANSWER
D) sin Y
EXPLANATION
The given triangle is a right triangle.
This implies that that:
[tex]x + y = 90 \degree[/tex]
Then we have
[tex]y= 90 - x[/tex]
Recall that
[tex] \cos(x) = \sin(90 - x) [/tex]
But
[tex]90 - x = y[/tex]
When we do the substitution, we get,
[tex] \cos(x) = \sin(y) [/tex]
Therefore cos(x) is a equivalent to sin(y).
The correct answer is D.
g(x) = -x2 + x. Find g(-10).
It's subsitution.
-(-10)^2 + (-10) --) -(100) + (-10) --) -100 - 10 --) -110.
g(-10) = -110
Answer:
-110
Step-by-step explanation:
g(x) = -x^2 + x
g(-10) = -(-10)^2 + (-10)
g(-10) = -100 - 10
g(-10) = -110
Janes age is 5 years less than 3 times her brothers age. Janes age is 11 minus her brothers age. How old is Jane?
You did not specify the brother's age, so I make a expression, b as the variable.
(3b + 5) - 11
Now do that with the brother age instead of the variable.
(3b + 5) - 11 = 3
you first add 3 and 5 which equals 8 ten you subtract 11 and 8 which equals 3, so jane is 3 years old
Please Help!!! :C
One computer desk is located at (7, 2) on the map. Another is located at (7, -8). How many feet separate the two computer desks? Explain or show how you got your answer.
Answer:
-6
Step-by-step explanation:
The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length × width, what is the width of the rectangle?
Answer:
Width = x-1
Step-by-step explanation:
Given
Area of rectangle=A= x^4+4x^3+3x^2-4x-4
Length of Rectangle=L= x^3+5x^2+8x+4
We have to find width
Width of rectangle=W= ?
We know that the formula for the area of triangle is:
Area of Rectangle=Length*Width
A=L*W
Since we need the value of width, length will be moved to the left of equals to.
A/L=W
W= (x^4+4x^3+3x^2-4x-4)/(x^3+5x^2+8x+4)
After long division, we will get
Width=W=x-1
A pair of jeans that normally cost $20 is 30% off. What is the price of the jeans
$12
$14
$15
$16
Answer:
$14
Step-by-step explanation:
20*0.3 0.3 is 30%
20*0.3=6
20-6=14
The answer is 14.
Explanation
Multiply 20 by .3
You get 6
Subtract 20 from 6 and u get 14.
Given the graph above, write the equation as a cosine function
A. y = .25 cos ø
B. y = .75 cos 2ø
C. y = -.75 cos 2ø
D. y = -.50 cos 3ø
E. y = cos 4ø
Answer: Option B
[tex]y = 0.75cos(2\phi)[/tex]
Step-by-step explanation:
The general cosine function has the following form
[tex]y = Acos(b\phi) + k[/tex]
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
The maximum value of y is is 0.75 and the minimum is -0.75. Then the amplitude A is:
[tex]A =\frac{0.75-(-0.75)}{2}\\\\A= 0.75[/tex]
Then [tex]k=0[/tex]
The cycle is repeated every [tex]\pi[/tex] units
So the period is [tex]\pi[/tex]
Thus:
[tex]\frac{2\pi}{b}=\pi\\\\ b=\frac{2\pi}{\pi}\\\\ b=2[/tex]
The function is:
[tex]y = 0.75cos(2\phi)[/tex]
when [tex]\phi=0[/tex] y is maximum therefore [tex]y=0.75[/tex] As shown in the graph
Which statements describe the solutions to (√x-2)-4=x-6? Check all that apply.
There are no true solutions to the radical equation.
x = 2 is an extraneous solution.
x = 3 is a true solution.
There is only 1 true solution to the equation.
The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.
Answer:
x = 3 is a true solution.
The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.
Step-by-step explanation:
Given in the question an equation,
√(x-2) - 4 = x - 6
√(x-2) = x - 6 + 4
√(x-2) = x -2
Take square on both sides of the equation
√(x-2)² = (x -2)²
x - 2 = x² - 4x + 4
0 = x² - 4x - x + 4 + 2
0 = x² - 5x + 6
a = 1
b = -5
c = 6
x = -b±√(b²-4ac) / 2a
x = -(-5)±√(5²-4(1)(6)) / 2(1)
x = 5 ± √1 / 2
x = 5 + 1 / 2 or 5 - 1 /2
x = 3 or x = 2
Plug value of x in the radical equation:
x=3√(3-2)-4=3-6
√1 -4 = -3
1 - 4 = -3
-3 = -3
x=2
√(2-2)-4=2-6
0 - 4 = -4
-4 = -4
Answer:
C. x = 3 is a true solution.
E. The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.
Step-by-step explanation:
if x equals 12, find the value of x2
Answer:
24
Step-by-step explanation:
12 * 2 = 24
The value of x² is 144.
What is the square of a value?Just multiply an integer by itself to square it. For instance, "4 squared" equals 4 4 = 16. frequently displayed with a tiny 2 in the corner as follows: 42 = 16. "4 squared equals 16" is a common expression. The result of multiplying an integer (not a fraction) by itself is a square number.
Given
x = 12
x² = x * x = 12*12 = 144
To know more about value refer to :
https://brainly.com/question/11546044
#SPJ2
If s= 1 over 2 and A = 12s^2, What is the value of A, in square units
(Input whole numbers only)
ANSWER
3 square units
EXPLANATION
The given formula is
[tex]A=12s^2[/tex]
But
[tex] s = \frac{1}{2} [/tex]
We substitute the value of s into the formula to get;
[tex]A=12( \frac{1}{2} )^2[/tex]
[tex]A=12 \times \frac{1}{4}[/tex]
[tex]A=3 {units}^{2} [/tex]
The value of A in square units is
3
The funtion g(x)=f(x+3)+2. Which of the following is true of the graph of g(x)?
25 I think I hope I’m right
A circle with 50 meter of the circumference what is the diameter
Answer:
25 meters
Step-by-step explanation:
Answer: 15.9155
is you answer and if it dont include the .9155 just choose 15 or 16 if its there
Step-by-step explanation:
Brainliest + Points! Please explain
A(n) _______________ is a mapping that does not change the size of the original figure.
A.
isometry
B.
mapping
C.
image
D.
preimage
Answer A isometry
Step-by-step explanation:
Isometry is a mapping that does not change the size of the original figure. Isometry can be things like translation and rotation, both of which don't change size or shape!
Hope this helps!
If 42 × 43 = n, then which division equation is also true?
Answer: n divided by 43
Step-by-step explanation: You always take the last number of the equation and divide it by the answer and you should get the first number.
Draw the angle below in standard position. -3pi/4
First of all, the negative sign means that we will turn clockwise.
Since [tex]\frac{\pi}{4}[/tex] is half a quarter, we have:
[tex]-\frac{\pi}{4}[/tex] brings you at half of quadrant IV[tex]-\frac{2\pi}{4}[/tex] brings you on the negative side of the y axis[tex]-\frac{3\pi}{4}[/tex] brings you at half of quadrant IIISo, option A is correct.
To draw the angle -3pi/4 in standard position, we measure 135 degrees clockwise from the positive x-axis.
Explanation:To draw the angle below in standard position, -3pi/4, you begin from the positive x-axis (which is usually referred rightward).
In standard position, positive angles are measured counterclockwise and negative angles are measured clockwise. Since we're dealing with a negative angle of -3pi/4, we will measure this clockwise.
The angle -3pi/4 corresponds to 135 degrees (because -3pi/4 is -3 * 180 degrees/2 = -135 degrees). You would measure 135 degrees clockwise from the positive x-axis to draw this angle in standard position.
Learn more about Standard Position Angle here:https://brainly.com/question/33193673
#SPJ2
what is the answer to this question -1⁄4 a − 4 = 4
Answer:
The correct answer is: a= -32
Identify the features of the graph
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The graph represent a vertical parabola open up
The vertex is the minimum value of the parabola
The vertex is the point (3,-4)
The x-intercepts are the points (1,0) and (5,0)
The x-intercepts are the values of x when the value of y is equal to zero
The y-intercept is the point (0,5)
The y-intercept is the value of y when the value of x is equal to zero
The domain is the interval -----> (-∞,∞) All real numbers
The range is the interval -----> [-4, ∞) All real numbers greater than or equal to -4
see the attached figure to better understand the problem
Answer:
Solution 5,0
Vertex 3,-4
Y-intercept 0,5
Step-by-step explanation:
Just finished on math nation
If jay Berry put the $100.00 in a savings account that earned 12% interest every month. How much would he have in one year? 10 pts
How much would he have in five years?
Answer: Alright get ready for a long explanation
he would have 820.00$ in his savings account after the 5 years
Step-by-step explanation:
if he earns 12% interest then you would have to multiply 100 by the 12/100 which is .12 in decimal form.
100 TIMES .12 = $12.00
because we are doing this in months you need to multiply the amount he makes per month by the amount of months that the 100 dollars is in the bank account.
Alright so now that thats over, he makes 12 dollars every month
thers 12 months in a year, so you would have to do 12 (the number of moths) times 5 (the amount of years) that equals 60.
60 TIMES the amount he makes per month ($12) equals $720.00
LASTLY! add the amount he made to the original amount and you get the answer of $820.00
i hope this helps :)
Just need to know how to solve
Answer:
so where the points are on the triangles is where you would go side to side and up and down
Step-by-step explanation:
Find the lengths of the sides:
BA = 4, this would be y1
BC = 6, this would be x1
CD = 2, this would be y2
DE = 3, this would be x2
The slope is the Y over X
Slope of ABC = 4 / 6
Slope of CDE = 2 / 3
Answer A equals both of those:
6-2 / 9-3 = 4/6
8-6 = 12-9 = 2/3
write a rule for linear function in the graph (4,3) (3 ,-1)
Answer:
D) y = 4x - 13
Step-by-step explanation:
Slope: the change in y over the change in x
In a equation in slope-intercept form is in y = mx + d, where m is the slope.
The slope can be found by its definition. As y goes up by 4, x goes up by 1, so the slope is 4/1 = 4.
The only option with 4 as the slope is D.