Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
12²+x²= (x-2)²144+x²= x²-4x+4144-4+x²-x²= -4x 140 = -4x x = 140/-4x= -35That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
Answer:
A. does not exist
Step-by-step explanation:
Since this is a right triangle we can find the value of x using Phytagorian Theorem
(x-2)^2 = 12^2 + x^2
x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)
-4x = 144
x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.
Can i get help y=7x-2 A.(3,15) B.(-1,-10) C. (3,15) and (-1,-10) D. Neither
Answer:
D. Neither.
Step-by-step explanation:
y = 7x + 2.
I am not sure what you want to find, but I assume you put the coordinates into the equation and find whether they fit.
A. (3, 15).
y = 7 * 3 - 2 = 21 - 2 = 19
y is not equal to 19, so A does not work.
B. (-1, -10).
y = 7 * -1 -2 = -7 - 2 = -9
y is not equal to -9, either, so B does not work.
C. A combination of the two coordinates, which we know do not work.
D. Neither. Neither of the coordinates work, so this is the answer.
Hope this helps!
Answer:
neither
Step-by-step explanation:
y=7x-2 for (3,15)
y=7(3)-2
y=19 not solution
(-1.10)
y=-7-2=-9 not a solution
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set? (–∞ , two-thirds] (–∞ , two-thirds) (two-thirds, ∞) [two-thirds, ∞)
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
Find the percentage change: The price was $60. Now it is $40.
Answer:
33.33%
Step-by-step explanation:
The percentage was a decrease.
Let the percent be x.
60 × (1 - x%) = 40
60 × (1 - x/100) = 40
1 - x/100 = 40/60
-x/100 = 40/60 - 1
-x/100 = -1/3
x/100 = 1/3
x = 1/3 × 100
x = 33.33333
additional expenses made after purchasing an article added to its actual cost are called————
Answer:
by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.
Step-by-step explanation:
Use the Quadratic Formula to solve y=3x2+9x-13
HELP PLZ Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown below. Word Problem A movie theater charges $8.00 for each ticket. What is the total cost, y, for x tickets? Equation y = 8x Graph Movie Theater Costs A graph with number of tickets sold on the x-axis and total cost on the y-axis. A line goes through points (8, 1), (16, 2). Table A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 8, 12, 13. Column 2 is labeled y with entries 40, 64, 96, 104. Which piece of information does not represent the same information as the other three parts? word problem equation graph table
Answer:
Graph
Step-by-step explanation:
The graph swapped the y and x axis values.
Answer:
Graph
Step-by-step explanation:
A grocery store sells a bag of 6 oranges for $2.76. How much would it cost for 5 oranges?
Answer:
$2.3
Step-by-step explanation:
6oranges=2.76$
5oranges=?
5×2.76/6.
=$2.3
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Answer:
The other side = [tex]\frac{1}{12}[/tex] units
Step-by-step explanation:
A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;
the hypotenuse is [tex]\frac{1}{3}[/tex]
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = [tex](\frac{1}{4}) ^2[/tex] and c² = ([tex](\frac{1}{3} )^2[/tex]
b² = c² - a²
b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]
So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.
So the other side = [tex]\frac{1}{12}[/tex] units.
Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
Help me, please i really need this answered
Answer:
f(x) = * 6
Step-by-step explanation:
Since the pattern goes : 1/6, 1, 6, 36, 216, 1,296 you can see a pattern that results with multiplying every number with 6.
1/6 * 6 = 1
1 * 6 = 6
6 * 6 = 36
36 * 6 = 216
216 * 6 = 1296
Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answer:
Cylinders have two circular bases
Cones have one circular base
The lateral area of a cylinder is related to circumference of the circular bases.
Step-by-step explanation:
In Determining the statements that characterize cylinders and cones. All that apply in this context are :
1) Cylinders have two circular bases
2) Cones have one circular base
3) The lateral area of a cylinder is related to circumference of the circular bases.
Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.
Answer:
a b and e
Step-by-step explanation:
Suppose that $50,000 from a retirement account is invested in a large-cap stock fund. After 20 yr, the value is $175,222.57. Use the model A=Pe^rt to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoid rounding in intermediate steps. The average rate is approximately __%
Answer:
6%
Step-by-step explanation:
The average rate is approximately 2%
The formula for calculating the average rate of return under continuous compounding is expressed as [tex]A=Pe^{rt[/tex]
Given the following parameters
[tex]P = \$50,000[/tex]
A = $175,222.57
t = 20 years
Substitute the given parameters into the formula to get the rat[tex]175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%[/tex]
Hence the average rate is approximately 2%
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X/8 - 9 = 1 Solve for x
Answer:
x=80
Step-by-step explanation:
x/8-9=1x/8=9+1x/8=10x=80What is the value of A when we rewrite... (PLZ HELP QUICK)
Answer:
[tex] \frac{133}{8} [/tex]Step-by-step explanation:
Given,
[tex] {( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3} [/tex]
[tex] = {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3} [/tex]
[tex] = ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3} [/tex]
[tex] = {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )[/tex]
[tex] = {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )[/tex]
[tex] = {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )[/tex]
[tex] {( \frac{5}{2} )}^{x} ( \frac{133}{8} )[/tex]
Comparing with A • [tex] {( \frac{5}{2}) }^{x} [/tex]
A = [tex] \frac{133}{8} [/tex]
Hope this helps...
Good luck on your assignment...
Mark noticed that the probability that a certain player hits a home run in a single game is 0.165. Mark is interested in the variability of the number of home runs if this player plays 150 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the variance for a total of 150 games? Answer choices are rounded to the hundredths place.
Answer:
Variance for a total of 150 games is 20.67
Step-by-step explanation:
If x follows binomial distribution with parameters n and p then the probability distribution of [tex]\frac{x-np}{\sqrt{npq}}[/tex] tends to N (0.1)
As [tex]n\rightarrow \infty[/tex] where E(x)= np, var (x) = npq
[tex]\therefore[/tex] var (x) = 150[tex]\times[/tex]0.165 [tex]\times[/tex] (1-0.165)
(since, n= 150, p=0.165,
q = 1-p = 1-0.165)
= 20.66625
var (x) = 20.67
[tex]\therefore\\[/tex] variance for a total of 150 games is 20.67
Given to us:
Mark uses the normal approximation of the binomial distribution to model the number of home runs. Therefore,
Probability, p=0.165;
Number of samples, n=150;
Chances of failure, q = 1-p = 1-0.165 = 0.835;
According to binomial distribution,
Variance, var(x) = npq;
var (x) = npq
= 150 x 0.165 x 0.835
= 20.66625
Hence, the variance for a total of 150 games is 20.66625.
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https://brainly.com/question/12734585
The height, h metres, of a flare as a function of the time, t seconds, since the flare was fired from a boat, can be modelled by the function h = -5t2 + 15t + 20 What was the maximum height of the flare?
Answer:
31.25 metres at t=1.5 seconds.
Step-by-step explanation:
The height, h metres, of a flare as a function of the time, t seconds, since the flare was fired from a boat, can be modeled by the function
[tex]h=-5t^2+15t+20[/tex]
We need to find the maximum height of the flare.
In the given quadratic function, the leading coefficient is negative it means the function represents the downward parabola.
Vertex of a downward parabola is the point of maxima.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(-\dfrac{b}{2a}, f(-\dfrac{b}{2a})\right)[/tex]
In the given function, a=-5, b=15, c=20. So,
[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-5)}=\dfrac{15}{10}=1.5[/tex]
Put x=1.5 in the given function.
[tex]h=-5(1.5)^2+15(1.5)+20[/tex]
[tex]h=31.25[/tex]
Therefore, the maximum height of the flare is 31.25 metres and t=1.5 seconds.
Seven lamps labeled A through G are arranged in a row. Each lamp has its own switch. Now lamps A, C, E, and G are on and other lamps are off. Ben starts to flip each switch from A to G the following way: if the lamp is on, he turns it off; if the lamp is off, he turns it on. He repeats the pattern until he flips the switches 2011 times. Which lamps are on finally? dont bully me im in 5th grade also this is due in 4 days
Answer:
O=on
X=off
OXXOXOX after 2011 flips.
Step-by-step explanation:
There are many ways to get the answer.
A. Actually flip them 2011 times.
One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.
Now flip the cards in order A to G 2011 times and find the answer.
Since you have four days to find the answer, you only have to flip about 500 times a day.
B. Simplify procedure A above.
Do the same as above, actually flip the cards, but only 14 times.
You will find that the cards are restored to the original position after 14 flips.
If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.
We know we don't have to make 143 sets of 14 flips. We only need to make 9!
Then again, we know that after 7 flips, the lights will be all opposite.
If O=on, and X=off then the situations are
OXOXOXO initial
XOXOXOX after 7 flips
OXXOXOX after 9 flips, which is also after 2011 flips, and that is the final answer.
What is the quotient of 8 1/4×3/4
Answer:
6 3/16
Step-by-step explanation:
8.25x.75=6.1875, or 6 & 3/16
Answer:
[tex]6\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]
Hope this helps! :)
- Clout Answers
Brainliest is greatly appreciated :)
What is the solution set of {xlx<-3}{xlx>5)?
all real numbers
all numbers except -3 and 5
the empty set
the numbers between -3 and 5
Explanation:
The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc
The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...
Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.
There are no solutions. Since there are no solutions, the solution set is the empty set.
Three numbers are in ration 3: 4: 8. The sum of the two larger numbers exceeds twice the smallest by 48. Find the numbers.
Answer:
24, 32, 64
Step-by-step explanation:
12x=6x+48
-6x -6x
6x=48
x=8
8(3)=24
8(4)=32
8(8)=64
Answer:
24, 32, 64
Step-by-step explanation:
1st=3x
2nd=4x
3rd=8x
2(3x)+48=4x+8x
6x+48=12x
48=6x
x=8
SO:
1st =24
2nd= 32
3rd= 64
Una piscina se llena a razón de 250L por hora. ¿Cuántos litros de agua tiene la piscina después de 7 horas?
Answer:
se llena 1750L en 7 horas.
Step-by-step explanation:
The length of a photo is 14 inches, which is 3 inches longer than its width. Write an equation that gives the photo's width (w) in inches. i need this asap!
Answer:
w+3=14
Step-by-step explanation:
The length is 3 more than the width, and more can be expressed as a plus sign, so w+3=14.
Un equipo de futbol esta compuesto por 13 personas, contando el entrenador y el masajista. Tras jugar un partido, reciben para todos un cheque con 16_41 dolares. Sabiendo que en el lugar de "_" hay una cifra que no le queremos decir y que cada uno recibe una cantidad exacta igual¿a cuanto le tocara cada uno? que sean concretos pls
Answer:
Ok, tenemos que el cheque es de 16_41.
Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.
Sea el dígito faltan igual a x
Sabemos que un numero es divisible por 13 cuando la suma de los productos de las unidades, decenas, centenas,... De dicho número por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es 0 o múltiplo de 13.
Entonces, tenemos:
16x41:
1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3
=-14 - 4*x
entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.
Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)
-26 = -14 - 4*x
-26 + 14 = -4*x
-12 = -4*x
-12/-4 = 3 = x
Entonces nuestro dígito es igual a 3, y nuestro numero es:
16341.
Ahora podemos probar:
16241/13 = 1257
Es decir, cada miembro recibe 1257.
The perimeter of a triangle is 7 a − 11 b . If two of its sides are 2 a + b and a − 9 b , what is the third side?
Answer:
To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.
7a - 11b - (2a + b + a - 9b)
= 7a - 11b - (3a - 8b)
= 7a - 3a - 11b + 8b
= 4a - 3b
PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
[tex]\frac{2^25^6}{2^35^35^2}[/tex]
Step 2: Combine exponents
[tex]\frac{2^25^6}{2^35^5}[/tex]
Step 3: Remove like terms
[tex]\frac{5^1}{2^1}[/tex]
Step 4: Exponent
5/2
Susie needs to melt some chocolate to use in a recipe she found in a cookbook. The cookbook calls for melting the chocolate at a low temperature of 30 degree celsuis . What temperature in degrees Fahrenheit will she need to set her stove to melt the chocolate? Round your answer to the nearest whole degree. The solution is
Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
Help
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answer:
I can't make a table here but I will try my best to seperate the numbers in groups
4.5 -34.5 : 8,17,23,27,10,23,23,27,5,27
34.5 -64.5 : 61,46,42,46,35,46,46,42,46
64.5 -94.5 : 84,88,65,65,65,84
Step-by-step explanation:
In this question there are three categories of intervals and a set of numbers. Essentially, the question wants you to seperate the numbers within each category of interval. I could not make the table here, but it is basically laid out for you. As for the histogram, the question in and out of itself is very vague because there are many ways you can set up a histogram. The file below may not be what you're looking for but it is how I imagined it would be.
Use the rule y=-x+ 7 to fill in the blank.
If (-1, y) is on the graph, then y=
Answer:
(-1,6)
Step-by-step explanation:
y=-x+ 7
Let x = -1
y = -1+7
y = 6
Nick is undertaking an expedition across the desert from A to B. In order to complete his journey he starts at A, walks 7km West and then 24km North until he arrives at B. How much shorter would Nick's journey have been if he had gone by the shortest route across the desert?
Answer:
Shorting distance = 6 km
Step-by-step explanation:
Given:
Distance walk = 7 km west
Distance walk = 24 km north
Find:
Shorting distance
Computation:
Using Pythagorean theorem:
Magnitude AB = √AC² + BC²
Magnitude AB = √7² + 24²
Magnitude AB = √49 + 576
Magnitude AB = 25 Km
Total distance Nick walk = 7 km + 24 km
Total distance Nick walk = 31 km
Shorting distance = 31 km - 25 km
Shorting distance = 6 km
Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation? -11+1/3x+9=7 a. x = 3 b. x = -3 c. x = 27 d. x = -33
Answer:
c. x = 27
Step-by-step explanation:
-11 + 1/3 x + 9 = 7
1/3 x - 2 = 7
1/3 x = 9
x = 27