If the trapezoid is reflected over the line segment BC, what will be the new coordinates of point A?
Answers
Answer:
(13,15)
Step-by-step explanation:
If the trapezoid were to be reflected over the line segment BC, the new coordinates of point A would be (13,15) as it moves to right 5 points from BC sides.
Answer:
(B) 13,15
Step-by-step explanation:
If we look at point A in relation to point B, we see that it's 5 units to the left and 3 units down from point B, therefore making it at (3,15). Now, if we reflect across line BC (which is a y-axis) then we change the X value, not the y value. If the line BC is located at X=8, then the X value will be 8+5, since point A is 5 units away from the line BC. The y value will stay the same because we are reflecting over only one axis. 8+5 = 13, and the y stays at 15, so the new point value of A would be (13,15).
Hope this helped!
Related Questions
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answers
Answer:
Vinegar: 40 milliliters
Italian dressing: 280 milliliters
Step-by-step explanation:
I jus took the test :)
HELP ME ON THIS ONE PLZ NEED ANSWERS
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
Answers
Answer:
See below.
Step-by-step explanation:
The domain of a relation are simply its x-values, while the range of a relation are its y-values.
1)
We have the relation:
{(-7,2), (-2,2), (0,1), (4,5)}
Again, the domain of this relation are the x-values. Therefore, the domain is:
{-7, -2, 0, 4}
The range of this relation are the y-values. Therefore, the range is:
{2, 1, 5}
Note that even though the 2 repeats, we only count it once because it's the same.
2)
We have the relation:
{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}
The domain are the x-values. Therefore, the domain is:
{-4, -3, -1, 1}
Again, the -3 repeats so we only count it once.
And the range would be the y-values:
{-3, -1, 4}
It's customary to place them in ascending order.
Answer:
If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain
Step-by-step explanation:
domains are -7,-2,0,4
range are 2,1,5
I hope this is helpful for you
You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?
Answers
Hey there! I'm happy to help!
PART A
When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.
We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.
The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.
But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.
5040/2=2520
There are 2520 ways you can arrange the word WHISKAS.
PART B
Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.
PART C
Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.
Have a wonderful day!
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answers
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
For more details, refer to the link:
https://brainly.com/question/23535769
Help me please need help gonna fail sos
Answers
Answer:
235
Step-by-step explanation:
We have ED is 95.
We can find EC by 180-40 = 140
So DEC = 95+140=235
Answer:
236
Step-by-step explanation:
PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRANLIEST. IF YOU ANSWER WITHIN A FEW MINUTES AFTER ASKED, WILL GIVE 10 THANKS
Answers
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
First, note that Angle X and angle Y are angles formed when two parallel lines are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.
Therefore:
[tex](3x-5)+(90+2x)=180[/tex]
[tex]5x-5=90[/tex]
[tex]5x=95[/tex]
[tex]x=19[/tex]
Sally has a part time job mowing lawns so she can save money for a new car. She charges $5 per hour. What numbers make sense for the domain and range.
Answers
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
Answer:
Step-by-step explanation:
The number of hours worked, h, could be zero or greater: [0, 40), where "40" is the upper cap on the number of hours she works.
The range consists of all possible total earnings amounts: [$0, $1000).
Christine will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has
an initial fee of $50 and costs an additional $0.40 per mile driven. How many miles would Christine need to drive for the two plans to cost the same?
Answers
Answer:
Christine needs to drive 250 miles for the two plans to cost the same
Step-by-step explanation:
For answering the question correctly and helping Christine, we will use the following equation:
x = number of miles driven
Cost of the first plan = 0.60x
Cost of the second plan = 50 + 0.40x
How many miles would Christine need to drive for the two plans to cost the same?
Cost of the first plan = Cost of the second plan
0.60x = 50 + 0.40x
0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)
0.20x = 50
x = 50/0.2
x = 250 miles driven
Christine needs to drive 250 miles for the two plans to cost the same.
Yvette likes to increase the distance she runs by 1% each day. If yesterday Yvette ran 10.75km, how much further is she going to run today?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The multiplier for 1% would be 1.01
Multiply her distance from yesterday by this value
new distance = 10.75 x 1.01
new distance = 10.8575
I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)
Subtract the two values
10.8575 - 10.75 = 0.1075
So, to 2 d.p your answer would be 0.11 km
Have A Nice Day ❤
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Hope this helps:)
In the figure below, B is the center of the circle. NL= 28, OS = 4x-2, RB = 22 and SB = 22. Find the value of x.
Answers
Explanation:
RB and SB are 22 units. Since they are both equal, this means the chords NL and OQ are the same length. This is true whenever the chords are the same distance away from the center.
NL = 28, so OQ = 28 as well.
Furthermore, the radius BP cuts chord OQ in half (because BP is perpendicular to OS), which means OS = 28/2 = 14. We are also told that OS = 4x-22
Therefore,
4x-22 = 14
4x = 14+22
4x = 36
x = 36/4
x = 9
HELPPPImagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of the points that the ball passes through, it is actually possible to determine the equation of the parabola that represents the ball’s path through the air. part a-Assume the ball passes through the points , , and . Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Write the system in the space provided. part b-Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you derived in part B where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. partc-Now that you have determined the equation of the parabola, assume that x represents the number of seconds that have passed since the ball was thrown and determine approximately how long it will take for the ball to hit the ground.
Answers
Answer:
(a, b, c) = (-1/3, 2, 5)y = (-1/3)x^2 +2x +57.90 secondsStep-by-step explanation:
From your equations in Part A, we can write the matrix equation as ...
[tex]\left[\begin{array}{ccc}9&3&1\\25&5&1\\36&6&1\end{array}\right] \cdot\left[\begin{array}{c}a&b&c\end{array}\right] = \left[\begin{array}{c}8&\frac{20}{3}&5\end{array}\right][/tex]
For the purpose of finding the inverse matrix (which we don't really need to do to solve this), it is convenient to use an augmented matrix that will give both the matrix inverse and the solution.
[tex]\left[\begin{array}{ccc|ccc|c}9&3&1&1&0&0&8\\25&5&1&0&1&0&\frac{20}{3}\\36&6&1&0&0&1&5\end{array}\right][/tex]
For the first step in the solution, we'll divide the first row by 9, then subtract 25 times that from the second row, and 36 times that from the third row. The goal of this step is to make the first column be 1, 0, 0. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&\frac{1}{3}&\frac{1}{9}&\frac{1}{9}&0&0&\frac{8}{9}\\0&-\frac{10}{3}&-\frac{16}{9}&-\frac{25}{9}&1&0&-\frac{140}{9}\\0&-6&-3&-4&0&1&-27\end{array}\right][/tex]
For the second step in the solution, we'll multiply the second row by -3/10, then subtract 1/3 times that from the first row and add 6 times that to the third row. The goal of this step is to make the second column be 0, 1, 0. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&0&-\frac{1}{15}&-\frac{1}{6}&\frac{1}{10}&0&-\frac{2}{3}\\0&1&\frac{8}{15}&\frac{5}{6}&-\frac{3}{10}&0&\frac{14}{3}\\0&0&\frac{1}{5}&1&-\frac{9}{5}&1&1\end{array}\right][/tex]
For the third step in the solution, we'll multiply the third row by 5, then add 1/15 of that to the first row and -8/15 of that to the second row. The goal of this step is to make the third column be 0, 0, 1. The result is ...
[tex]\left[\begin{array}{ccc|ccc|c}1&0&0&\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}&-\frac{1}{3}\\0&1&0&-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}&2\\0&0&1&5&-9&5&5\end{array}\right][/tex]
The middle section of this augmented matrix is the inverse of the coefficient matrix:
[tex]A^{-1}=\left[\begin{array}{ccc}\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}\\-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}\\5&-9&5\end{array}\right][/tex]
The right section of the augmented matrix is the solution set:
[tex]X=\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}-\frac{1}{3}\\2\\5\end{array}\right][/tex]
__
The equation of the parabola is ...
[tex]\boxed{y=-\dfrac{1}{3}x^2+2x+5}[/tex]
__
The ball will hit the ground when y=0. The values(s) of x can be found from the quadratic formula:
x = (-b±√(b²-4ac))/(2a) = (-2±√(2²-4(-1/3)(5)))/(2(-1/3))
x = (2 ± √(32/3))/(2/3) = 3±√24 = {-1.899, 7.899}
It will take about 7.90 seconds for the ball to hit the ground.
PLEASE HELP! 10 POINTS Write the equation of the function graphed. Graph of an abolute value function shifted 4 units to the left. f(x) = |x + 4| f(x) = |x| – 4 f(x) = |x – 4| f(x) = |x| + 4
Answers
Answer: try and use socratic its an app it will help you find ways to get answers for the graph its simple and easy
Step-by-step explanation:
IDK what to put up here any more so imma copy-paste this
Answers
Answer:
its 3 units.
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
Points A and B have the same y value. Thus, subtract the x-values from each other to get 5 - 2 = 3.
Hope it helps <3
Nath is a 23-year-old single male. He is in perfect health, and he has children. Which health
insurance policy is best for him?
Policy 1 Policy 2 Policy 3 Policy 4
Term Term Whole Whole
Term or whole
Death benefit
Protection period
Cost per year
Convertible term
$200,000 $200,000 $200,000 $200,000
26 years 30 years
Life Life
$400 $420 $5000 $8000
No
Yes
Yes
No
Dividends
No
Yes
Yes
Yes
Proceeds paid to beneficiary
Yes
Yes
Yes
Yes
which one?
Policy 2
Policy 1
Policy 4
Policy 3
Answers
Answer:
Policy 2
Step-by-step explanation:
I just took the test and got it right
Question below. Please answer it, its math.
Answers
Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis
= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "
= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x
= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions
= [tex]-\frac{4x}{5}[/tex] + 3
= [tex]-\frac{4}{5}[/tex]x + 3
So we have our simplified expression " [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
Which graphs is represent functions?
Answers
Answer:
graph b and d
Step-by-step explanation:
because they pass the vertical line test.
A ball has a diameter of 7 inches. What is the volume
Answers
Answer:
179,5 inches³
Step-by-step explanation:
Hello !
d = 2r => r = d/2 = 7in/2 = 3.5 inches
V = 4π·r³/3
= 4·3.14·(3.5in)³/3
= 538.51in³/3
≈ 179,5 inches³
30 points high school geometry question.
Answers
Answer:
2.7
Step-by-step explanation:
2.5/5.8 = BD/6.2
BD = 2.7
Answer: 2.7
Step-by-step explanation: 2.5/5.8 = BD/6.2
BD = 2.7
5x-2y = -25 Solve by linear combination please show work
Answers
Answer:
The answer you get is x=-3, and y=5 or (-3,5)
Step-by-step explanation:
3x+y=-4 and 5x-2y = -25.
Firstly, to solve the equation let's use the multiplication method.
5x-2y=-25 (Multiply by 1)
3x+y=-4 (Multiply by 2)
=
5x-2y=-25
+6x+2y=-8
=
11x=-33
x=-3
We know that x=-3, now we can find y by substituting this value into other equations.
5(-3)-2y=-25
-15-2y=-25
+15 +15
-2y=-10
y=5
The answer you get is x=-3, and y=5 or (-3,5)
A train travels 60km in y minutes.If this average speed is 400km per hour,find the value of y
Answers
Answer:
9
Step-by-step explanation:
Speed of the train is:
60 km / y minAnd average speed is:
400 km / h = replacing 1 h with 60 min400 km/ 60 min = 20 km /3 min = 60 km / 9 minComparing the two above, we see y= 9
100 POINTS!The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes: 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggie. a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600? b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?
Answers
Answer:
A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]
B) See the attached file!
Step-by-step explanation:
Total pizza sales in the pie chart = 175+60+35+130
=> 400 total Pizzas
Out of these 400, there are 175 pepperoni pizzas
So,
Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)
So,
Among 1600 pizzas, pepperoni pizzas would be:
=> [tex]\frac{7}{16} * 1600[/tex]
=> 7 * 100
=> 700 pepperoni pizzas
Part B)
See the attached file:
Answer:
[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]
Step-by-step explanation:
Part A:
Calculate the total parts:
[tex]130+175+60+35[/tex]
[tex]=400[/tex]
Out of 400 pizzas, 175 are pepperoni.
[tex]\frac{175}{400}[/tex]
The sales remain constant, if the total number of sold pizzas reaches 1600 then:
[tex]\frac{175}{400} \times 1600[/tex]
[tex]=700[/tex]
Out of the 1600 pizzas sold, 700 would be pepperoni.
Part B:
(attachment)
Pepperoni pizza:
[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]
Hamburger pizzas:
[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]
Veggie and cheese pizzas:
[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]
What is the probability of rolling a 2 and then rolling a 5 on two consecutive rolls of a fair 6-sided die?
i kinda need quick answer pls tyy
Answers
Answer:
1/36
Step-by-step explanation:
1/6x1/6=1/36
Please help me with this geometry question:((
Answers
Answer:
(x + 3.5 ) / (x - 4 ) = 20 / 8
8x + 28 = 20x -80
12x = 108
x = 9
Step-by-step explanation:
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answers
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that
the population in the year 2000 was 12100.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is the answer should be an integer)
ASAP PLS
Answers
Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
solve for b: 4 1/3b+b=6b–10.4
Answers
Answer:
-7 8/10 = b
Step-by-step explanation:
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10. Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies to b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -------------
4(10)
Then b = -312/40, or -156/20, or -78/10, or -7 8/10 = b
The value of b from the expression given will be b= -7 8/10 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given an expression as;
4 1/3b + b = 6b–10.4
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies as;
b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -4(10)
Then b = -312/40,
or -156/20,
or -78/10,
or -7 8/10 = b
Therefore the value of b from the expression given will be b= -7 8/10 .
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
50 POINTS!! Drag each label to the correct location on the image. Not all labels will be used. The values of a, b, and c in scientific notation are 3.47 × 10-6, 4.61 × 107, and 5.52 × 107, respectively. Complete the following sentences. Round so the first factor goes to the hundredths place. a*b a/b c/a 1.60 16.0 × 101 1.60 × 102 1.59 × 1013 0.75 × 10-13 7.53 × 10-13 7.53 × 10-14 1.59 × 101
Answers
Answer:
[tex]\boxed{a*b = 1.60 * 10^2}[/tex]
[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]
[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]
Step-by-step explanation:
a = [tex]3.47 * 10^{-6}[/tex]
b = [tex]4.61 * 10^7[/tex]
c = [tex]5.52*10^7[/tex]
Finding a*b:
a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])
= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])
When bases are same, powers are to be added
= 15.997 * [tex]10^{-6+7}[/tex]
= 15.997 * [tex]10^1[/tex]
= 159.97
Rounding it off
=> 1.60 * 10²
Finding a/b:
=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]
Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> 0.753 * [tex]10^{-6-7}[/tex]
=> [tex]7.53*10^{-1}*10^{-13}[/tex]
=> [tex]7.53 * 10^{-1-13}[/tex]
=> 7.53 * 10⁻¹⁴
Finding c/a:
=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]
=> 1.59 * [tex]10^{7+6}[/tex]
=> 1.59 * 10¹³
Answer:
a × b = 1.60 × 10^2
a/b = 7.52 × 10^-14
c/a = 1.59 × 10^13
Step-by-step explanation:
a = 3.47 × 10^-6
b = 4.61 × 10^7
c = 5.52 × 10^7
Solve a × b
(3.47 × 10^-6) × (4.61 × 10^7)
When bases are same in multiplication, we add the exponents.
15.9967 × 10^1
Decimal point is after first non-zero digit. Round to hundredths.
1.60 × 10^2
Solve a/b
(3.47 × 10^-6)/(4.61 × 10^7)
When bases are same in division, subtract the exponents.
3.47/4.61 × 10^-14
0.75271149674 × 10^-14
Decimal point is after first non-zero digit. Round to hundredths.
7.52 × 10^-14
Solve c/a
(5.52 × 10^7)/(3.47 × 10^-6)
When bases are same in division, subtract the exponents.
5.52/3.47 × 10^13
1.59077809798 × 10^13
Round to hundredths.
1.59 × 10^13
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answers
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
By 4 pm, Max would be 4y meters far ahead of Sven.
What is the distance?Distance is defined as the product of speed and time.
distance = speed × time
To determine the difference in the distance they have covered by 4 pm given the speed at which they traveled.
Given that, Max and Sven bike away from home in the same direction starting at noon
The time is the difference between the 4 hours between noon and 4 o'clock.
Max's current speed of x km/h,
The distance he would have traveled by 4 pm as
⇒ 4 × x
⇒ 4x meters
Max is biking at x mph while Sven is going y mph slower.
Max would therefore be going at (x-y) mph.
Max's distance covered would be 4(x-y) meters
At 4 p.m., the distance between their bikes would be as:
⇒ 4x - [4(x-y)]
⇒ 4x -(4x -4y)
⇒ 4x -4x + 4y
⇒ 4y
Hence, By 4 pm, Max would be 4y meters far ahead of Sven.
Learn more about distance here:
brainly.com/question/13269893
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WILL MARK BRAINLIEST! The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answers
Answer:
the answer is c
Step-by-step explanation:
when expanded the first three coefficients are 1 4 6
Answer: CCCCCc
1,4 and 6
Step-by-step explanation:
Here's the question of the day! How is everyone? Question of the day is ... 18 + 34 x 15 =
Answers
Answer:
528
Step-by-step explanation:
PEMDAS:
In this math problem, you would multiply 34 and 15 before adding 18.
[tex]18+34*15=\\\\18+510=\\\\\boxed{528}[/tex]
Brainliest Appreciated.
Answer:
528
Step-by-step explanation:
BODMAS
Multiplication first.
34 x 15= 510
Then addition:
510 + 18= 528