Answers
Answer:
Option A
Step-by-step explanation:
This is because whenever you have a negative exponent, you put it to the reciporical value of it. If you have two same exponenet bases, you add them up.
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The option (A) is correct after using the properties of the integer exponent.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an expression:
[tex]\rm =\dfrac{\left(10a^{-8}b^{-2}\right)}{4a^3b^5}[/tex]
[tex]\rm =\dfrac{5a^{-8}b^{-2}}{2a^3b^5}[/tex]
[tex]= \rm \dfrac{5b^{-2}}{2a^{11}b^5}[/tex]
[tex]\rm =\dfrac{5}{2a^{11}b^7}[/tex]
Thus, the option (A) is correct after using the properties of the integer exponent.
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Related Questions
Use the intersect method to solve: x^2+1=-x^2+9
Answers
Answer:
x={-2,2}
Step-by-step explanation:
Graph them when intersecting.
Algebraically:
x^2 + 1 = -x^2 + 9
Add x^2 on both sides and subtract 1 on both sides.
2x^2 = 8
Divide 2 on both sides
x^2 = 4
Square root on both sides
|x| = 2
Remove abs value by putting + or - on the other side
x = {-2,2}
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2,2
B in edge
I am taking the test
What is the selling cost of a jacket that the store buys for $60 if the markup is 12%?
$52.80
$67.20
$76.80
$132.00
Answers
Answer: $67.20
Step-by-step explanation:
store buys jacket at 60 dollars and marks it up 12%
$60 x .12% = $7.20
$60 + $7.20 = $67.20
Need help with this math question PLEASE HELP
Answers
Answer:
(- 1, 4)
Step-by-step explanation:
The line x = 1 is a vertical line.
The point P(3, 4) is 2 units to the right of x = 1 ( 3 - 1 = 2 )
Hence the reflection will be 2 units to the left of x = 1, that is (1 - 2)
P'(- 1, 4)
The reflection of point P(3, 4) about the vertical line x = 1 is P'(-2, 4).
Reflection is a transformation that flips a figure over a line or a plane. It is a type of symmetry transformation that maintains the same shape and size of the object but changes its orientation with respect to the line or plane of reflection.
Given: Point P(3, 4).
The line x = 1 is a vertical line.
Now, let's find the reflection of point P(3, 4) about the vertical line x = 1:
To reflect a point about a vertical line, we reverse the sign of the x-coordinate while keeping the y-coordinate the same.
So, the reflection of P(3, 4) will be (-2, 4).
Hence, the reflection of point P(3, 4) is P'(-2, 4).
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Philip has 0.5 (half) of a bar of chocolate .He lts Lena eat 0.25 of his chocolate .What fraction of the whole bar of chocolate does Lena eat?
Answers
Answer: Lena eats 1/4 of the whole bar
Step-by-step explanation:
Half of the bar is 50. A full bar would be 100%. If Phillip has half, amd Lena eats half of that half, she eats 0.25 out of 0.5. 0.5 is half of the whole bar, so 0.5×0.5 is 1, and if lena ate 0.25 of 1, that is 1/4.
One of every 20 customers reports poor customer service on your company’s customer satisfaction survey. You have just created a new process that should cut the number of poor customer service complaints in half. What percentage of customers would you expect to report poor service after this process is implemented?
1.) 5%
2.) 10%
3.) 2%
4.) 2.5%
Answers
Answer:
4.) 2.5%
Step-by-step explanation:
1/20 = 5/100 = 5%
If that value is cut in half, it becomes ...
(1/2)×5% = 2.5%
Answer:
The correct option is 4) 2.5%
Step-by-step explanation:
Consider the provided information.
One of every 20 customers reports poor customer service on your company’s customer satisfaction survey.
First find the 1 is how much percent of 20.
[tex]\frac{1}{20}\times 100=1\times 5=5\%[/tex]
That means 5% of customers reports for poor customer services.
It is given that, You have just created a new process that should cut the number of poor customer service complaints in half.
Previously 5% of customers was not satisfy with the customer services, now only half of it not satisfy the customer service.
[tex]\frac{1}{2}\times 5\%=2.5\%[/tex]
Hence, the correct option is 4) 2.5%
If A⊥Y and X || Y, then _____
Answers
In the context of mathematical geometry, if 'A⊥Y and X || Y', it means that A is perpendicular to Y and X is parallel to Y. In such a scenario, A would also be perpendicular to X.
Explanation:In mathematical terms, the symbols used in this question represent geometric relationships. Here, 'A⊥Y' means that A is perpendicular to Y, meaning A intersects with Y at a right angle (90 degrees). 'X || Y' signifies that X and Y are parallel, meaning they are in the same plane never intersect or meet, regardless of how far extended.
When it is given 'A⊥Y and X || Y', this suggests a specific geometric condition. In such a case, the vector A (or line/segment) is perpendicular to the vector Y. Also, the Vector X is parallel to Y. From these conditions, if one line is perpendicular to a second line, and a third line is parallel to the second line, then the first and third lines are also perpendicular to each other. Therefore, the conclusion in this case would be 'A is perpendicular to X' or 'A⊥X'.
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1. Monica cashed her paycheck at Ready Cash. The fee at
Ready Cash to cash a check is 10% of the amount of the
check. Her paycheck was $538. How much was the fee
for Monica to cash her paycheck?
show my work like this
Answers
The volume of a cylinder, given by the formula V= pie ^2 h, is 539 cubics inches. In the formula, r represents the radius and h represents the height of the cylinder. What equation represents the value of r in terms of h
Answers
Answer:
[tex]\displaystyle r=\sqrt{\frac{539}{\pi\cdot h}}[/tex]
Step-by-step explanation:
Fill in the value of the volume and solve for r.
[tex]539=\pi\cdot r^2\cdot h\\\\\dfrac{539}{\pi\cdot h}=r^2 \quad\text{divide by the coefficient of $r^2$}\\\\r=\sqrt{\dfrac{539}{\pi\cdot h}} \quad\text{take the square root}[/tex]
The row-reduced form of a system of three linear equations in three variables is given by this matrix. How many solutions does the system have?
Answers
Answer:
B. infinite solutions along a line
Step-by-step explanation:
The matrix is equivalent to the equations ...
x = 2
y = 9
0z = 0 . . . . . . true for any z
This tells you the solutions are ...
(x, y, z) = (2, 9, z)
This defines a line parallel to the z-axis.
PLEASE HELP BRAINLIEST
Answers
Answer:
there is a 25% chance that Tim takes 2 red sweets.
Step-by-step explanation:
P (2 red sweets)= 2/8
2/8 ÷ 2= 1/4
1/4= .25
.25= 25%
If I=PRT and P=$49,236.45, R=105% and T=2 years, estimate I
Answers
Answer:I=103395.6
Step-by-step explanation:
Using the formula for calculating interest (I) which is PRT, you substitute the given values for principal (P), rate (R), and time (T) respectively. First, calculate the product of principal P and rate R, then multiply this result by the time (T). Hence, the estimated interest is $103,396.54.
Explanation:The formula for calculating interest (I) is I = PRT. In your case, the principal (P) is $49,236.45, the rate (R) is 105% or 1.05 (we use decimal form for this calculation), and the time (T) is 2 years. To calculate interest, we substitute these values into the formula as follows:
I = $49,236.45 * 1.05 * 2
First, calculate the product of principal and rate: $49,236.45 * 1.05 = $51,698.27
Next, multiply this result by the time: $51,698.27 * 2 = $103,396.54
Therefore, the estimated interest is $103,396.54
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The owner of a small manufacturing plant employs six people. As part of their personnel file, the owner asked each employee to record the distance they travel one way from home to work. The six distances (in miles) are listed below. What is the range of the data? 2.4 5.2 1.8 4.9 6.4 3.5
Answers
Answer:
4.6
Step-by-step explanation:
Formula: Range = highest value - lowest value
Step 1: List all the data in ascending order
1.8, 2.4, 3.5, 4.9, 5.2, 6.4
Step 2: Identify the lowest and highest number
Lowest number : 1.8
Highest number : 6.4
Step 3 : Substitute the values in the formula
Range = highest value - lowest value
6.4 - 1.8 = 4.6
!!
Plz help :/
A mystery spinner is 50% RED and WHITE, while the rest is BLUE and GREEN. If 1/6 of the spinner is GREEN, how much is BLUE? (Show your work or explain completely.)
Answers
Answer:
1\2
Step-by-step explanation:
draw a circle split it where there are 6 slices color half red and white now color one of the slices green and the rest blue there are 2 slices out of 6 colored blue. Hope it helped! make sure to reduce
Final answer:
The spinner is half RED and WHITE, and the other half is BLUE and GREEN. With 1/6 of it being GREEN, the remaining fraction 1/3 of the spinner is BLUE.
Explanation:
To determine how much is BLUE on the mystery spinner, we must calculate the portions of each color. We know that the spinner is 50% RED and WHITE combined and the remainder is BLUE and GREEN. Since 1/6 of the spinner is GREEN, we have to find out what fraction is left for BLUE.
Firstly, we calculate what 50% is in fraction form, which is 1/2 of the spinner. Now, knowing that 1/6 of the spinner is GREEN, we subtract the GREEN fraction from the half not covered by RED and WHITE:
1/2 (portion of BLUE and GREEN) - 1/6 (portion of GREEN) = (3/6 - 1/6) = 2/6, which simplifies to 1/3.
Therefore, 1/3 of the spinner is BLUE.
Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
Answers
Answer:
D (1,0)
Step-by-step explanation:
Let the coordinates of D be (a,b).
The diagonals of a parallelogram bisect each other.
The midpoint of AC should be the same as the midpoint of BD.
[tex](\frac{-2+4}{2},\frac{4+-1}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]
[tex](\frac{2}{2},\frac{3}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]
Compare corresponding coordinates
This implies that:
[tex]1+a=2[/tex], [tex]3+b=3[/tex]
[tex]a=2-1[/tex], [tex]b=3-3[/tex]
[tex]a=1[/tex], [tex]b=0[/tex]
Therefore the coordinates of D are: (1,0)
Answer:
Option D for plato users
Step-by-step explanation:
D. (1, 0)
PLEASE HELP ASAP 35 PTS + BRAINLIEST TO RIGHT/BEST ANSWER.
Im pretty sure its b or d, but cant figure out which; please only answer if you’re positive!
Answers
Answer:
b
Step-by-step explanation:
(625x¹²y⁸)^¼
(5⁴x¹²y⁸)^½
5×x³×y²
5x³y²
5|x³|y²
For it to be positive,
x³ should be positive because 5 and y² already are positive.
Is your received a $15,000 loan from the bank after six years she owes the bank 5000 in interest what was Angie’s interest-rate
Answers
Answer:
it would be 3.33%
Step-by-step explanation:
Answer:
about 5.55%
Step-by-step explanation:
The interest formula is ...
i = Prt
where i is the interest earned, P is the principal amount, r is the annual rate, and t is the number of years. Fill in the given information and solve for the remaining variable.
5000 = 15000·r·6
5000/90000 = r = 1/18 ≈ 5.55% . . . . . divide by the coefficient of r
____
Comment on the answer
The decimal value of 1/18 is 0.0555555... repeating indefinitely. Rounded to 3 digits, it would be 5.56%. The offered answer choices seem to give more attention to the repeating digits than to proper rounding.
PLEASE HELP
Is there any sort of calculator or problem solver online that can let me input problems like these? I have absolutely no idea how to solve them, I have a ton of them, and I'm low on time to solve them. :(
Answers
First you must know that the sides 2x and x + 8 are equal to each other and sides x and 3x - 16 are equal to each other.
This means you can make a formula like so:
2x = x + 8
and
x = 3x - 16
Now you may solve for x for both of them (you should get the same answer for both x's)
2x - x = (x - x) + 8
x = 8
and
x - 3x = (3x - 3x) - 16
-2x = -16
-2x/-2 = -16/-2
x = 8
To find the length of each side just replace x with 8!
Hope this helped!
~Just a girl in love with Shawn Mendes
The surface area of sphere r is 565.2 units squared the surface of sphere s is 22680 units squared how many times larger is the radius of sphere s compared r
Answers
Answer:
[tex]\dfrac{r_s}{r_r}\approx 6.3346[/tex]
Step-by-step explanation:
The ratio of the radii is the square root of the ratio of the areas:
[tex]\dfrac{r_s}{r_r}=\sqrt{\dfrac{22680}{565.2}}\approx 6.3346[/tex]
The radius of sphere s is about 6.3346 times as large as the radius of sphere r.
To determine the ratio of the sizes of the radii of the two spheres based on their surface areas, you can use the ratios of the square roots of the surface areas. Using this method, the radius of Sphere S is found to be roughly 8 times larger than Sphere R
Explanation:The subject topic of this question is related to geometry, specifically looking at the relationship between the surface areas of two spheres and their respective radii. Given that the surface area (SA) of a sphere is given by the formula SA=4πr², you can set up a ratio for the radii.
The square roots of the ratios of the surface areas of the spheres will give us the ratio of the radii. In other words, sqrt(SA of sphere S/ SA of sphere R) = ratio of the radii. Substituting the given values, we get sqrt(22680/565.2) which approximately equals to 8.
Therefore, the radius of Sphere S is approximately 8 times larger than Sphere R.
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Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A 90 degrees
B 72 degrees
C 60 degrees
D 45 degrees
E 30 degrees
Answers
Answer:
Step-by-step explanation:
e
Answer: B- 72
Step-by-step explanation:
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 9x-4y+z=-4. -x+2y-3z=20. 4x+4y-z=43
Answers
Answer:
d. (3, 7, -3)
Step-by-step explanation:
The reduced row-echelon form of the augmented matrix has 1s on the diagonal and zeros off-diagonal, except for the answer in the last column. It can be convenient to start by writing the augmented matrix using the second equation first:
[tex]\left[\begin{array}{ccc|c}-1&2&-3&20\\9&-4&1&-4\\4&4&-1&43\end{array}\right] \\\\\text{Add 9 times the first row to the second, and 4 times the first row to the third}\\\\\left[\begin{array}{ccc|c}-1&2&-3&20\\0&14&-26&176\\0&12&-13&123\end{array}\right][/tex]
[tex]\text{Subtract 2 times the third row from the second}\\\\\left[\begin{array}{ccc|c}-1&2&-3&20\\0&-10&0&-70\\0&12&-13&123\end{array}\right] \\\\\text{Divide the second row by -10}\\\\\left[\begin{array}{ccc|c}-1&2&-3&20\\0&1&0&7\\0&12&-13&123\end{array}\right][/tex]
[tex]\text{Subtract 2 times the second row from the first, and}\\\text{subtract 12 times the second row from the third}\\\\\left[\begin{array}{ccc|c}-1&0&-3&6\\0&1&0&7\\0&0&-13&39\end{array}\right] \\\\\text{Divide the third row by -13}\\\\\left[\begin{array}{ccc|c}-1&0&-3&6\\0&1&0&7\\0&0&1&-3\end{array}\right][/tex]
[tex]\text{Add 3 times the third row to the first, then multiply the result by -1}\\\\\left[\begin{array}{ccc|c}1&0&0&3\\0&1&0&7\\0&0&1&-3\end{array}\right][/tex]
The method may not be strictly according to some algorithm, but it avoids fractions and gives the correct result: (x, y, z) = (3, 7, -3).
Answer:
The answer is d. (3, 7, -3)
Step-by-step explanation:
100% sure I got a 100 on review exam
Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters.
What transformations can be applied to Circle 1 to prove that the circles are similar?
Enter your answers in the boxes
The circles are similar because you can translate Circle 1 using the transformation rule (blank, blank) and then dilate it using a scale factor of blank.
Answers
If you translate circle 1 with the vector (6,-4), the center will become
[tex](-4,5)+(6,-4) = (-4+6,5-4)=(2,1)[/tex]
So, circles 1 and 2 are now concentric. The radii are, respectively, 2 and 6. This means that, if we dilate circle 1 with a scale factor of 3, its radius will become 6 as well.
After this two transformations, both circles will have center (2,1) and radius 6.
The transformation rule is (x+6, y-4).
We dilate by a factor of 3.
What is a circle?A circle is a perfectly round shape meaning any point around its curve is the same distance from its central point called the center
How to know what transformations can be applied to Circle 1 to prove that the circles are similar?Basically, we have two circlesFirstly we need to shift the center.
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).Again we need to dilate the circle.
Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.Find more about "Circles" here: https://brainly.com/question/17326298
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When the graph of a quadratic function crosses the x-axis twice, the x-coordinate of the vertex lies ______ the two x-intercepts.
Answers
Answer:
"halfway between"
Step-by-step explanation:
The zero crossings are symmetrical about the line of symmetry, which is a vertical line through the vertex. The x-coordinate of the vertex s the average of the two x-intercepts, so lies between them--exactly halfway between them.
Answer:
Between
Step-by-step explanation:
The Vertex is a point where two or more curve meets. In the case of a quadratic equation, the vertex is at the minimum point (if a is positive) or at the maximum point (if a is negative).
When the graph of a quadratic function crosses the x-axis twice, the x-coordinate of the vertex lies between the two x-intercepts.
Note that the two x-intercepts are the roots of the quadratic function.
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-Estimate the line of best fit using two points on the line.
Answers
Answer: I think is A
Step-by-step explanation:
You do y2-y1/x2-x1 and get a slope of 3 and according to the graph when the x is 3 the y is about 2 hope this help
Answer:
A
Step-by-step explanation:
if you do all the math will see that A is correct and the other guy said its A so its defently A
What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b + 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 + 7)(11b2 − 7)
Answers
Answer:
Step-by-step explanation:
121b^4 - 49 is a "difference of squares."
Formula for factoring a "difference of squares:"
a² - b² = (a - b)(a + b)
So: rewrite your 121b4 - 49 as 11²b^4 - 7² = (11b²)² - 7²
= (11b² - 7)(11b² + 7)
This answer matches the last of the four given answer choices.
What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible?
Answers
Answer:
The probability of an event that is impossible is zero (0)No, a probability approximated to be zero based on empirical results does not mean that the event is impossible.Explanation:
For the first question, the mathematical (statistical, to be more precise) definition of a event that is impossible is that its probability is zero.
There are two extremes when you talk about probability: 0 and 1. 0 means that the event cannot occur in any way, while 1 is that the event is certain (it cannot not happen).
An example of an event with probability 0 is: men born in the Sun. This is an impossible event, and so there is no chance (probability 0) to find a man born in the Sun.
For the second question, when you deal with empirical results, this is with an experiment, the fact of having a probability zero as result of approximations does not make that an event be impossible; the event is unlikely (if the experiments were carried out properly) but yet it can happen.
For example, say you put 1,000 ballots in a bag with the number 3, together with 1 ballot with the number 9. Then, you perform the experiment of drawing a ballot 2,000 times. Suppose you draw the ballot with the number 9 two times. In that case, your approximated experimental probability of drawing a 9 will be 2 /2,000 = 0.001. Which you could round to 0.00. That may be valid but it cannot be taken as that the event of drawing the ballot with the number 9 is impossible, it is just unlikely.
Answer:
0
Step-by-step explanation:
A photo of a painting measured 13 x 17 inches the scale of the photo to the original painting is 1 inch to 3 inches. What is the size of this painting
Answers
Answer:
29 × 51 inches
Step-by-step explanation:
If the scale is ...
photo : painting = 1 : 3
then each dimension of the painting is 3 times the corresponding dimension of the photo. The painting is (3×13) by (3×17) inches, or 39 × 51 inches.
Prehistoric cave paintings were discovered in a cave in france. the paint contained 24 %24% of the original carbon-14. use the exponential decay model for carbon-14, upper a equals upper a 0 e superscript negative 0.000121 ta=a0e−0.000121t, to estimate the age of the paintings. the paintings are approximately 1179411794 years old. (round to the nearest integer.) question is complete.
Answers
Answer:
t = 11,794 years
Step-by-step explanation:
If you are looking for a confirmation that your answer is correct, it is.
Need help with reflection
Answers
Answer:
(1,6)
Step-by-step explanation:
In this question, the point (1,2) is first reflected on the line y=0 then followed by line y=2
In the first reflection, y=0, the line is the x-axis, so the point (1,2) is reflected on the x-axis. The law here is that reflection of a point (x,y) on the x-axis, will result to an image of (x,-y)
The point is (1,2), its image will be (1,-2)
The new image (1, -2) is then reflected on the line y=2 but you should be aware that the x-coordinate will remain the same, but the y-coordinate will change. This is to say that the y coordinate value will shift the same number of units above the line y=2 as it is below the line y=2
Point (1,-2) reflected on line y=2 will result to an image (1,6). The x-coordinate value has remained the same, where as the y coordinate value has shifted 4 units above the line y=2 because it was 4 units below the line y=2.
Final image will be (1,6)
All points to the of zero on a horizontal number line are negative. True or False
Answers
TRUE IT IS REALLY TRUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
True, all points to the of zero on a horizontal number line are negative.
Step-by-step explanation:
Detailed explanation is as follows:
* All points to the left of zero on a horizontal number line are negative.
* A number line is a picture of a graduated straight line that serves as abstraction for real numbers.
* This number line can be extended to the left to represent numbers which are smaller than 0.
Tags: horizontal number line, points to the zero
You take a random token from a bag that contains 44? red, 1414? green, and 66? blue tokens. What is the probability your token is red?
Answers
Answer:
11/381
Step-by-step explanation:
Not sure what the ? after each number means but I'm going to assume they aren't there
so we need find the number of tokens in all which is
44+1414+66=1524
P(red)=44/1524 now reduce giving P(red)=11/381
Moderators please delete this answer.