Answer:
2.4x10^-2
Step-by-step explanation:
since this number is a decimal you will use a negative number above the 10...
how do you solve 4devided by
12
Answer:
0.33333333
Step-by-step explanation:
4 divided by 12 would be written like this: 4/12
it's always good to simplify if possible, so it should look like this: 1/3
3 which is the denominator would be divided by 10, so 3/10 = 0.33333333
0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333
PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?
1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters
Answer:
I believe its 1. -18 meters
Step-by-step explanation:
first find how many meters the elevator is descending per minute. to do this:
what is 12% of 75?
(75×.12) = 9
the elevator is descending 9 meters per minute.
9×2=18
Find the area of the figure. Use 3.14for.
18 m
22m
The area of the figure is about ____ m2
Area of triangle = 1/2 x base x height
Area of the triangle = 1/2 x 22 x 18 = 198 square m.
Area of semi circle = 1/2 x PI x r^2
Area of semi circle = 1/2 x 3.14 x 11^2 = 189.97 square m.
Total area = 198 + 189.97 = 387.97 square m.
Round up to 388 square m.
a small college had 2570 students in 1994 and 2734 students in 1996. if the enrollment follows a linear growth pattern, how many students should the college have in 2004 ?
Answer: The final answer is 3390.
Step-by-step explanation:
Before answering the question, you have to understand that a linear growth pattern is a straight-line pattern (not exponential growth).
-From 1994 to 1996 are 2 [years]
-In 2 [years], there is a growth of 2734-2570 = 164 [students]
-With a linear growth, we can take the above [number of students] (164) divided by 2 [years] to get a [growth rate] of 82 [students per year]
⇒ \(\frac{164}{2} =82\) [\(\frac{number of students}{years}\) or number of students per year or growth rate]
-From 1996 to 2004, there are 8 [years]
-Therefore:
8 [years] × 82 [students per years] = 656 [students] => increased in students
-We add 656 [students] increased to 2734 [students] in 1996 = 3390 [students] in 2004
The final answer is 3390.
Hope this help. :D
The bearing of a ship from Hartland Point is 070°. Its bearing from Appledore is 320º. where would the ship be
Answer:
See attached
Step-by-step explanation:
Approximate angle drawings......
Mrs. Garcia worked the following problem.
Is she correct? If not, explain her mistake.
Find the Standard Deviation for the given data. Aisha is an avid sneaker shoe collector and is interested the best deal for some new pair of sneakers about to be released. In her online research, she's seeing the following advertised prices for the shoes she is interested in: $142,$205,$303,$429,$140,$384,$330,$209
$109.6
$57.35
$174.5
$65.67
The standard deviation for the given data is approximately $103.53.
To calculate the standard deviation for the given data, you can follow these steps:
Step 1: Find the mean (average) of the data.
Step 2: Subtract the mean from each data point and square the result.
Step 3: Find the mean of the squared differences.
Step 4: Take the square root of the mean squared difference.
Let's calculate the standard deviation for the given data:
Data: $142, $205, $303, $429, $140, $384, $330, $209
Step 1: Find the mean:
Mean = (142 + 205 + 303 + 429 + 140 + 384 + 330 + 209) / 8
= 2142 / 8
= 267.75
Step 2: Subtract the mean from each data point and square the result:
(142 - 267.75)^2 ≈ 18807.5625
(205 - 267.75)^2 ≈ 3917.5625
(303 - 267.75)^2 ≈ 1251.5625
(429 - 267.75)^2 ≈ 26307.5625
(140 - 267.75)^2 ≈ 16489.5625
(384 - 267.75)^2 ≈ 13644.0625
(330 - 267.75)^2 ≈ 3905.0625
(209 - 267.75)^2 ≈ 3423.5625
Step 3: Find the mean of the squared differences:
Mean of squared differences = (18807.5625 + 3917.5625 + 1251.5625 + 26307.5625 + 16489.5625 + 13644.0625 + 3905.0625 + 3423.5625) / 8
= 85746.9375 / 8
≈ 10718.3671875
Step 4: Take the square root of the mean squared difference:
Standard deviation = √(10718.3671875)
≈ 103.53
Therefore, the standard deviation for the given data is approximately $103.53. None of the options provided matches the calculated result.
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Each cube in the prism is one cubic unit. What is the volume of this rectangular prism?
Step-by-step explanation:
i need to see the prism or i cant answer
Answer:
A rectangular prism made up of unit cubes. There are 5 layers, and each layer is 6 units long and 3 units wide.
?????.......
Step-by-step explanation:
Find the area of the composite figure.Round Your Answer To The Nearest Hundreth if needed
Answer:
\(A = 68.75 \text{ square inches}\)
Step-by-step explanation:
First, we need to identify the trapezoid's dimensions:
base 1 = 16
base 2 = 11.5
height = 5
Then, we can plug these values into the trapezoid area formula:
\(A = \dfrac{b_1+b_2}{2} \cdot h\)
\(A = \dfrac{16 + 11.5}{2} \cdot 5\)
\(A = \dfrac{27.5}{2} \cdot 5\)
\(A = \dfrac{137.5}{2}\)
\(\boxed{A = 68.75 \text{ square inches}}\)
Simply please quickly
\(5(x + 3y) \\ y(2x - 3)\)
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
Solve this equation please-
5³ + (-9) (2) ÷ 6
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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8/9p=12/18 whats the p value?
Answer:
p = 12/18
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8/9*p-(12/18)=0
Simplify.
Simplify more.
Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 3
What is the solution to –2|2.2x – 3.3| = –6.6?
x = –3
x = 3
x = –3 or x = 0
x = 0 or x = 3
Answer:
D
Step-by-step explanation:
Find the value of each variable 16-21
Answer:
16. \(x = 80^\circ\)
17. \(x = 55, y =70, z = 55\)
18. \(x =8, y =3\)
19. \(r = 66^\circ\), \(t = 73^\circ\)
20. \(y = 70^\circ, x = 55^\circ\)
21. \(x =56^\circ, y = 62^\circ\)
Step-by-step explanation:
16. Side \(AB = AC\)
So, the opposite angles of the triangle will also be equal.
\(\angle B =\angle C = 50^\circ\)
Using triangle sum property, angle of all the internal angles of a triangle is equal to \(180^\circ\).
\(50+50+x = 180\\\Rightarrow x = \bold{80^\circ}\)
17. Two sides are given as equal, \(x = z\)
Angles on a straight line are always equal to \(180^\circ\).
So,
\(x + 125 = 180\\\Rightarrow x = 55\)
\(z = 55\)
Using triangle sum property, angle of all the internal angles of a triangle is equal to \(180^\circ\).
\(55+55+y = 180\\\Rightarrow y = \bold{70^\circ}\)
18. All the angles are given equal to each other, therefore all the sides of the triangle will also be equal to each other.
\(4x+7 = 13y =39\)
\(13y = 39\\\Rightarrow y = 3\)
\(4x +7 = 39\\\Rightarrow 4x = 32\\\Rightarrow x = 8\)
19. Two sides are given equal to each other, therefore angles opposite to them will be equal.
Using the triangle sum property in the left triangle:
\(r + 57 + 57 = 180\\\Rightarrow r = 66^\circ\)
Using the property that vertically opposite angles are equal and the triangle sum property in the right triangle.
\(t+50+57 = 180 \\\Rightarrow t = 73^\circ\)
20. All the sides are given equal to each other.
So, all the angles will be equal to \(60^\circ\).
\(y - 10 = 60\\\Rightarrow y = 70^\circ\)
\(x+5=60\\\Rightarrow x = 55^\circ\)
21. Angles on a straight line are always equal to \(180^\circ\).
Angles opposite to equal sides in a triangle are also equal.
\(118 + y = 180\\\Rightarrow y = 62^\circ\)
Using triangle sum property:
\(x+2y = 180\\\Rightarrow x = 180 - 124 = \bold{56^\circ}\)
i need help with one question.
anyone pls?
Answer:
(-3,4)
Step-by-step explanation:
x + 2y = 5
-3 + (2*4) = 5
-3 + 8 = 5
5 = 5
2x + 3y = 6
(2*-3) + (3*4)=6
-6 + 12 = 6
6 = 6
Answer:
(-3,4)......... multiply the first equation by the coefficient of y i.e 3 (of 2nd equation)...
again multipy the 2nd eq by the coefficient of y i.e 2 (of 1st eq)
and finally solve the eq 3 and 4 ...(solve the both eq formed by multiplying)
Samantha fills her car's gas tank. It now has 18 gallons of gas. She uses 1/2
of the gas when she drives to the beach. Then, she uses 3/4 of the
remaining gas when she drives to the mall. How many gallons of gas does
Samantha's car have left? *
Answer:
18 x 1/2 = 9
18 - 9 = 9
9 x 3/4 = 27/4
9 - 27/4 = 2 1/4 or 2.25 gallons
Every purchase of 30 boxes gets 1 extra Free box. Rizky
Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without
giving extra). How much profit does Rizky Sejahtera Bersama's shop get for each
box?
On selling 38 boxes daily without giving extra box will profit him one box daily
What is Profit?Profit: A profit occurs when you sell something. for more than it cost. A business profit occurs when a business. makes more money than it spends.
Every purchase of 30 boxes gets 1 extra Free box. Rizky Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without giving extra)
On selling 38 boxes daily without giving extra box will profit him one box daily
for two days if we add 38+38=76 boxes which profit him 2 boxes
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the two triangles shows the congruent ABC LMN. based on this information which of the following is a true statement
Answer:
It's D I think.... Line up B and C with M,N
what the root of this question?
Answer:
\( \sqrt{125 {p}^{2} } = p \sqrt{25} \sqrt{5} = 5p \sqrt{5} \)
D is the correct answer.
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
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99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Jared earns extra money by dog walking. He charges $6.25 to walk a dog once a day 5 days a week and $8.75 to walk a dog once a day 7 days a week. Which equation represents this relationship?
Answer:
The equation representing the relationship is;
Amount charged to work a dog once a day = $1.25 * Number of days
Step-by-step explanation:
Here, we want to find the equation representing the relationship between the charges and the number of days
Firstly, he charges $6.25 to walk a dog a day for 5 days, the amount charged per day will be $6.25/5 = $1.25
For the 7 days, amount charged = 8.75/7 = $1.25
This means he charges an amount of $1.25 to walk a dog once a day
The equation that represents the relationship is thus;
Amount charged = $1.25 * Number of days
) Which expression is equivalent to
- 7?
(0+21) 10-2
(21)
(6+21)
(6 - 21)
3
NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
You have 15 marbles and three jars labeled A, B, and C. How many ways can you put the marbles into the jars... a. if each marble is different? b. if each marble is the same? c. if each marble is the same and each jar must have at least two marbles? if each marble is the same but each jar can have at most 6 marbles? e. if you have 10 identical red marbles and 5 identical blue marbles?
If each marble is different: 14,348,907 ways.
If each marble is the same: 136 ways.
If each marble is the same and each jar must have at least two marbles: 126 ways.
If each marble is the same but each jar can have at most 6 marbles: 324 ways.
If you have 10 identical red marbles and 5 identical blue marbles: 63,063 ways.
a. If each marble is different, the number of ways to put the marbles into the jars can be calculated using the concept of combinations. Each marble has three choices of jars (A, B, or C), and since the marbles are different, the order does not matter. Therefore, the number of ways is calculated by 3^15, which equals 14,348,907.b. If each marble is the same, the number of ways to put the marbles into the jars can be determined by using the concept of partitions. This is equivalent to finding the number of ways to distribute 15 identical marbles into three jars. This can be solved using a combinatorial technique called "stars and bars." The formula for distributing indistinguishable objects into distinguishable containers gives us the result of C(15+3-1, 3-1) = C(17, 2) = 136.c. If each marble is the same and each jar must have at least two marbles, we can subtract the cases where a jar has less than two marbles from the previous result. This can be calculated by subtracting the number of ways where at least one jar has fewer than two marbles from the total. There are two cases to consider: one jar with one marble and one jar with zero marbles. For the first case, we can choose the jar in 3 ways, and for the second case, we can choose the jar in 3 ways and distribute the remaining 12 marbles into the other two jars. So, the number of ways is 136 - (3 + 3*2) = 126.d. If each marble is the same but each jar can have at most 6 marbles, we can approach this problem by using generating functions. We can find the coefficient of the term x^15 in the expansion of (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)^3. After evaluating the expression, we find that the coefficient of x^15 is 324.e. If you have 10 identical red marbles and 5 identical blue marbles, the number of ways to put them into the jars can be calculated using the concept of combinations. Each marble has three choices of jars (A, B, or C), and since the marbles of the same color are identical, we need to consider the combinations of the red and blue marbles separately. The number of ways to distribute the red marbles is C(15, 10) = 3003, and the number of ways to distribute the blue marbles is C(5+3-1, 3-1) = C(7, 2) = 21. Therefore, the total number of ways is 3003 * 21 = 63,063.For more questions on marble
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URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
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The bottom of a ladder is 1.5 m from the base of a vertical wall. The gradient
of the ladder is 3. How far up does the top of the ladder touch the wall?
Suppose we have the workload ( to calculate the sum of 20 scalars, and 30 × 30 matrix sum ) to be done by a multi-processor system consisting of 50 processors with the following workload distribution: One processor has 20% Other 49 share 80% What is the speedup when compared with the single processor system?
The speedup is 1, which means that the multi-processor system with 50 processors does not provide any speedup compared to the single-processor system.
In the single-processor system, the workload is done by a single processor. In the multi-processor system with 50 processors, one processor handles 20% of the workload, and the remaining 49 processors share the remaining 80% of the workload.
To calculate the speedup, we need to compare the time taken by the single-processor system with the time taken by the multi-processor system.
Let's assume that the time taken by the single processor to complete the workload is T_single.
In the multi-processor system, the time taken by the one processor to complete its 20% workload is 0.2 * T_single.
The remaining 80% of the workload is distributed among the other 49 processors. Each processor will handle (80% / 49) of the workload, which is approximately 1.6327% of the total workload.
Since the workload is embarrassingly parallel, each processor can work independently on its portion of the workload.
The total time taken by the multi-processor system is T_multi = 0.2 * T_single + 49 * (0.016327 * T_single) = 0.2 * T_single + 0.8 * T_single = T_single.
Therefore, the speedup of the multi-processor system compared to the single-processor system is:
Speedup = T_single / T_multi = T_single / T_single = 1
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