Answer:
z = [tex]\frac{kx^3}{y^2}[/tex]
Step-by-step explanation:
Given that z is directly proportional to x³ and inversely proportional to y²
Then the equation relating them is
z = [tex]\frac{kx^3}{y^2}[/tex] ← k is the constant of proportionality
Souta wants to compare the mean of his test scores in French class to the mean absolute deviation. Language Test Scores French Scores 76 62 94 80 He uses the steps below to find both the mean and mean absolute deviation. French Scores Step 1 Add the scores. 76 + 62 + 94 + 80 = 312 Step 2 Divide the sum of the scores by 4. 312 divided by 4 = 78 Step 3 Add the differences between the mean and each score. (76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0 Step 4 Divide by 4. StartFraction 0 over 4 EndFraction = 0 In which step did Souta make the first error? Step 1 Step 2 Step 3 Step 4
Answer:
Souta made the first error in Step 3
Step-by-step explanation:
In order to find the Mean Absolute Deviation of a data set, you need to find the ABSOLUTE VALUE of the differences between the mean and each score. This means that 76-78 will be |76-78|, or 2.
Only then can you divide by 4. The correct answer should have been
[tex]|76-78|=2\\\\|62-78|=16\\\\|94-78|=16\\\\|80-78|=2[/tex]
[tex]2+2+16+16=36\\\\36\div4=9[/tex]
So 9 is the MAD of this data set.
Hope this helped!
Answer:
the person above me is right make that person the brainlyest
Step-by-step explanation:
Using the slope formula, find the slope of the line through the given points (8,2) and (6,8)
Answer:
-3
Step-by-step explanation:
To do this you just have to do the slope formula which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] then plug in the numbers so you get [tex]\frac{8-2}{6-8}[/tex] which would[tex]\frac{6}{-2}[/tex] get you which can be reduced to -3 so that would be the answer
Answer:
the formula of slope is : (y)₂-(y)₁ ÷(x)₂-(x)₁
Step-by-step explanation:
(x)₁=8,(x)₂=6
(y)₁=2,(y)₂=8
the slope = (y)₂-(y)₁ ÷ (x)₂-(x)₁
= 8-2 ÷6-8
= 3/-1
= -3
therefore slope is -3
Pls help ASAP! I will make you brainliest!! (Number 12.)
Answer:
The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft
Step-by-step explanation:
The perimeter is 150 ft, the length of the fence.
We add the lengths of the sides and set equal to the perimeter. Then we solve for x. Once we know x, we find the length of each side.
x + 2x + 0.5x + 45 = 150
3.5x = 105
x = 105/3.5
x = 30
Lengths of sides:
x = 30
2x = 2(30) = 60
0.5x = 0.5(30) = 15
45
Answer: The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft
How many solutions does the system have?
x+y=3
5x + 5y = 15
Choose 1 answer:
A. Exactly one solution
B. No solutions
С. Infinitely many solutions
Answer:
C)
Step-by-step explanation:
The answer is infinitely many solutions
because a1/a2 = b1/b2 = c1/c2.
Hope it helps :)
If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.
An archer hits a bullseye 64% of the time. What is the probability the archer hits
the bullseye exactly 4 times during 10 total attempts?
a. 242
b. .365
C..077
d. 168
Answer:
C. 0.077
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 10, r = 4, p = 0.64, q = 0.36.
P = ₁₀C₄ (0.64)⁴ (0.36)⁶
P = 210 (0.64)⁴ (0.36)⁶
P = 0.077
The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area of the cylinder write your answer as a polynomial in standard form
Answer:
The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:
[tex]A=2\pi rh+2\pi r^2[/tex]
in this case, r is not a number, but rather an expression, which is r = [tex]3x +1[/tex].
The height of the gift box is twice the radius, which is h = [tex]2(3x+1)= 6x+2[/tex]
To get our curved surface area, we carefully put the expressions for h and r into the equation.
[tex]A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}[/tex]
[tex]A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}[/tex]
[tex]A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}[/tex]
[tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
A game is played, where a die is tossed and a marble selected from a bag. Bag M contains 3 red marbles (R) and 2 green marbles (G). Bag N contains 2 red marbles and 8 green marbles. A fair six-sided die is tossed. If a 3 or 5 appears on the die, bag M is selected (M). If any other number appears, bag N is selected (N). A single marble is then drawn at random from the selected bag. Question ----> Find the probability that a green marble is drawn from either bag.
Answer:
2/3
Step-by-step explanation:
A die has 6 sides. If a 3 or 5 is rolled, then bag M is selected. So the probability that bag M is selected is 2/6 = 1/3.
Likewise, if a number other than 3 or 5 is rolled, then bag N is selected. So the probability that bag N is selected is 4/6 = 2/3.
If bag M is selected, the probability the marble is green is 2/5. The probability that M is selected, AND the marble is green, is therefore:
(1/3) (2/5) = 2/15
If bag N is selected, the probability that the marble is green is 8/10 = 4/5. The probability that N is selected, AND the marble is green, is therefore:
(2/3) (4/5) = 8/15
The total probability that a green marble is selected is therefore:
P = 2/15 + 8/15
P = 10/15
P = 2/3
Bag M: 3 red and 2 green = 5 total, so green = 2/5
Bag N: 2 red and 8 green = 10 total, so green = 8/10 = 4/5
Dice roll: chance of getting Bag M is 2/6 ( 2 numbers out of 6 total numbers on a die), reduces to 1/3
Chance of getting Bag N is 4/6 = 2/3
The probability of picking green = Probability of Bag M x Probability of green in bag M + probability of bag N x probability of green in bag N:
2/5 * 1/3 + 4/5 * 2/3 = 2/15 + 8/15 = 10/15 = 2/3
The probability = 2/3
5.) A six-sided die is rolled 20 times and the results are
recorded as follows: 3 ones, 4 twos, 5 threes, 2 fours, 4
fives, 2 sixes. What is the experimental probability of
rolling a number greater than four? Express your answer
in Fraction, Decimal, and % forms.
Answer:
There is a 30 % probability of getting a number greater than 4.
In fraction it 6/20
In decimal it is 0.3
Step-by-step explanation:
The experimental probability is found out by dividing the total favorable outcomes with the total possible outcomes
P (x= 1) = 3/20= 0.15
P (x= 2) = 4/20= 0.2
P (x= 3) = 5/20= 0.25
P (x= 4) = 2/20= 0.1
P (x= 5) = 4/20= 0.2
P (x= 6) = 2/20= 0.1
Now probability greater than 4 = P (x=5) + P(x=6)
= 4/20 + 2/20= 6/20
= 0.2+ 0.1= 0.3
So multiplying it with 100 we get = 0.3* 100= 30%
There is a 30 % probability of getting a number greater than 4.
if 25^x+1 = 125/5^x find the value of x
x =1/3
Step-by-step explanation:25ˣ⁺¹ = 125/5ˣ
5²⁽ˣ⁺¹⁾ = 5³/5ˣ
5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ
5²⁽ˣ⁺¹⁾ = 5³⁻ˣ
2(x + 1) = 3 - x
2x + 2 = 3 - x
2x + x = 3 - 2
3x = 1
x = 1/3
Please tell me the answer I need it soon, I do not understand math at all, tutoring doesn’t help me either.
The long way to do this is to have
4*4*4 *4*4*4 *4
so we have 7 copies of '4' multiplied together
Typing this into your calculator leads to
4*4*4 *4*4*4 *4 = 16384
-----------------------------------------------
The shortcut is to use exponents
Writing 4^7 means we have a base of 4 and an exponent of 7.
Saying 4^7 is the same as saying [tex]4^7[/tex]
To enter in your calculator, you would hit the button labeled [tex]x^y[/tex]
So you'll type 4, then the [tex]x^y[/tex] button followed by 7
Your calculator will then show 16384 as a result.
------------------------------------------------
Side note: you could compute all this by hand using pencil & paper, but to me that seems like tedious busy work (so why not use a calculator to be efficient).
BK−→− bisects ∠ABC and m∠ABK=28.3∘. Find m∠KBC and m∠ABC.
Answer:
[tex]KBC = 28.3[/tex]
Step-by-step explanation:
Given
ABK = 28.3
Required
Determine KBC and ABC
Since BK is a bisector of ABC, then it divides the angle to ABK and KBC:
Such that
[tex]KBC = ABK[/tex]
Substitute 28.3 for ABK
[tex]KBC = 28.3[/tex]
Also;
[tex]ABC = KBC + ABK[/tex]
Substitute 28.3 for ABK and KBC
[tex]ABC = 28.3 + 28.3[/tex]
[tex]ABC = 56.6[/tex]
Hence;
[tex]KBC = 28.3[/tex] and
Bob and bart plan to buy one computer for $500 strictly for gaming purposes. Games cost $60 each
Answer:
500+60g
Step-by-step explanation:
This is the answer because every game costs $60 and you represent everytime you buy a game by using 60g. And you can't put 500 g because that is not what each game costs 500 represents how much the computer is.
Evaluate 6j+23+kl−3, when j=3, k=7, and l=33
Answer:
[tex]269[/tex]
Step-by-step explanation:
[tex]6j + 23 + kl - 3 = 6(3) + 23 + 7 \times 33 - 3 = 18 + 23 + 231 - 3 = 269[/tex]
Three balls are placed in a row on a thin metal rod through a hole in the center of each ball. the middle ball is touching both of the other balls. the diameter of the balls 3,4, and 5 inches. of the following, which is closest to the greatest possible distance between the center of any two of the balls?
Answer:d
Step-by-step explanation:
The greatest so place the biggest one in the middle so 1.5+5+2=8.5
Q3. Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for
a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If
Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed
Coco with the oats he has left? Write your answer simplified fraction.
cn one of yall plz answer this question plz
Answer:
Days can Stefan feed
Coco with the oats he has left is 5 days
Step-by-step explanation:
Total Oats = 4 1/2 cups
He uses 3 1/4 cups to make granola bars for
a camping trip
Remaining oats after making granola bars = Total oats - oats used for granola bars
= 4 1/2 - 3 1/4
.= 9/2 - 13/4
= 18-13/4
= 5/4 cups
Remaining oats after making granola bars is 5/4 cups
Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed
Coco with the oats he has left?
Days can Stefan feed
Coco with the oats he has left = Remaining oats / 1/4 cups
= 5/4 cups ÷ 1/4 cups
= 5/4 × 4/1
= 20/4
= 5 days
Days can Stefan feed
Coco with the oats he has left is 5 days
Answer:
5 days
Step-by-step explanation:
What is the solution to 4(2x - 1) = 20?
Enter your answer in the box.
X=
Answer:
x=3
Step-by-step explanation:
4(2x - 1) = 20
Divide each side by 4
4/4(2x - 1) = 20/4
2x-1 = 5
Add 1 to each side
2x-1 +1 = 5+1
2x= 6
Divide by 2
2x/2 = 6/2
x = 3
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Use the distributive property to expand the left side:
[tex]a(b-c)\\\\ab-ac[/tex]
Simplify:
[tex]4(2x-1)=20\\\\4(2x)-4(1)=20\\\\8x-4=20[/tex]
Isolate the variable, x. Add 4 to both sides of the equation:
[tex]8x-4+4=20+4\\\\8x=24[/tex]
Now divide both sides by 8:
[tex]\frac{8x}{8} =\frac{24}{8}\\\\ x=3[/tex]
The value of x is 3.
:Done
Can anyone find the slope of this line (lots of points reward)
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The slope of a line is always rise over run.
To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.
One of these points is (-4, 1). Another one is (0, -2).
Studying the y-values of both (the rise), the change in y is [tex]1 - (-2) = 1+2 = 3[/tex], and since we are going down, the change is [tex]-3[/tex].
Studying the x values of both (the run), we can see that the rate of change is [tex]|-4 + 0| = 4[/tex].
So the rise over run will be [tex]\frac{-3}{4}[/tex], or just [tex]-\frac{3}{4}[/tex]. This is also the slope as slope is rise over run.
Hope this helped!
Answer:
-3/4
Step-by-step explanation:
Take two points on the line
(-4,1) and (0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-2-1)/(0- -4)
= -3/4
(x - 6)^2 - 5 = 0 Enter the solutions from least to greatest.
Answer:
x=6- sqrt(5)
x=6+ sqrt(5)
Step-by-step explanation:
(x - 6)^2 - 5 = 0
Add 5 to each side
(x - 6)^2 =5
Take the square root of each side
sqrt((x - 6)^2) =± sqrt(5)
x-6 = ± sqrt(5)
Add 6 to each side
x-6+6=6± sqrt(5)
x=6± sqrt(5)
from least to greatest
x=6- sqrt(5)
x=6+ sqrt(5)
Answer:
[tex]\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}[/tex]
Step-by-step explanation:
[tex](x - 6)^2 - 5 = 0[/tex]
Adding 5 to both sides of the equation.
[tex](x - 6)^2 =5[/tex]
Taking the square root of both sides of the equation.
[tex]x-6 =\pm \sqrt{5}[/tex]
Adding 6 to both sides of the equation.
[tex]x=6 \pm \sqrt{5}[/tex]
How would you express b⃗ using unit vectors? express your answers in terms of the unit vectors x^ and y^. use the unit vector button under the templates menu in the answer box to create unit vectors?
Answer:
This question seems to be incomplete, so i will answer it in a general way.
If we have a vector;
b = (b1, b2)
where b1 and b2 are the x-component and the y-component (respectively) of the vector b, then we can write the vector as:
b = (b1, b2) = b1*x^ + b2*y^
Where x^ = (1, 0) and y^ = (0, 1)
Are the unit vectors.
– 5 | 3 z + 8| –5 = -20
I'm assuming you want to solve for z :)
By simplifying both sides of the equation, then isolating the variable.
Exact form:
z= -5/3 , - 11/3
Mixed number form:
z= −1 2/3 , −3 2/3
Answer:
There are two solutions, -5/3 and -11/3
Step-by-step explanation:
Move -5 to the right side and add:
-5 | 3x + 8 | = -15
Get rid of the absolute-value bars by splitting them into negative and positive cases.
Solve negative case
-5 ( 3z + 8 ) = -15
Distribute or Multiply:
-15z - 40 = -15
Rearrange and Add:
-15z = 55
Divide both sides by 15:
-z= 11/3
Multiply both sides by -1:
z= -11/3
Solve negative case
5 ( 3z + 8 ) = -15
Distribute or Multiply:
15z + 40 = 15
Rearrange and Add:
15z = -25
Divide both sides by 15:
z = -(5/3)
Answer
z=-11/3
z=-5/3
PLZZZ help asap will give the brain and 70 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
A. a=2, b=1, c=5
Step-by-step explanation:
Given:
2x^2+5=-x
Rearrange to have the format
ax^2+bx+c=0
2x^2+5=-x
Add x to both sides
2x^2 + 5 + x = - x + x
2x^2 + 5 + x = 0
2x^2 + x + 5 = 0
ax^2 + bx + c = 0
Where
a= coefficient of x ^2
b = coefficient of x
c= constant
Therefore,
a= 2
b = 1
c= 5
A. a=2,b=1,c=5 is the correct answer
Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
Graph this function:
y–3=2(x–5)
Here you go. This is the graph of the function:
y - 3 = 2(x - 5)
Answer:
slope = 2 y intercept = ( 0, -7 )
Step-by-step explanation:
x y
0 -7
7/2 0
8 grade math dont really uderstand it so please explain also
Answer: Girls weekly: 25; Girls never:40; boys yearly: 25; boys never: 20; boys total:80 monthly total: 30
Step-by-step explanation:
You have to figure it out by adding or subtracting where ever it needs to be like in girls weekly you have to subtract the weekly total and the boys weekly to figure it out.
In the table about plant growth, what constant rate of change occurs? Explain what this rate of change means
in terms of growth. Include measurement labels.
Answer/Step-by-step explanation:
The constant rate of change that occurs can be calculated using the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let any 2 given pair values represent (x, y).
Thus, let's use (3, 3) and (5, 4.5)
Let (3, 3) = (x1, y1)
(5, 4.5) = (x2, y2)
Rate of change = [tex] \frac{4.5 - 3}{5 - 3} = \frac{1.5}{2} [/tex]
Rate of change = 0.75
The rate of change, 0.75, means in terms of growth, the height of the plant increases by 0.75 inches every week.
Find the equation of the parabola with its focus shown below. GRAPH ATTACHED, 15 POINTS! Due in 2 hours, will give BRAINLIEST!
Answer:
Solution : Option A
Step-by-step explanation:
Let' go through all the options we have here.
• x + 2 = - 1 / 8y² converted into standard form will be 4(- 2)(x - (- 2)) = (y - 0)². The parabola properties will be similar to the ones of this parabola, vertex = (- 2,0) and focal length = - 2. It hence is most likely to be the parabola provided to us.
• y = 1 / 8(x + 2)² is an up - down facing parabola, and hence is not at all similar to the given parabola
• x - 2 = 1 / 8y² will be a graph reflected over the y - axis with respect to the graph x + 2 = - 1 / 8y². It hence does not match the given parabola
• y = 1 / 8(x + 2)² will be a graph reflected over the x - axis with respect to the graph of y = 1 / 8(x + 2)². It will hence be a down - up facing parabola, which does not match the given parabola
For what value of $a$ does the equation $3(2x-a) = 2(3x+12)$ have infinitely many solutions $x$?
Answer:
When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions
Step-by-step explanation:
Given:
3(2x-a) = 2(3x+12)
6x - 3a = 6x + 24
Subtract 6x from both sides
6x - 3a - 6x = 6x + 24 - 6x
-3a = 24
Divide both sides by -3
a= 24 / -3
a = -8
Substitute a= -8 into the equation
3(2x-a) = 2(3x+12)
3{2x -(-8)} = 2(3x+12)
3(2x + 8) = 2(3x +12)
6x + 24 = 6x + 24
6x - 6x = 24 - 24
0 = 0
When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions
Answer:
aops question smh
Step-by-step explanation:
Use interval notation to identify the range of the exponential function
y=-3^x-2+4
HELP
Answer:
Hey there!
The range is (-∞, 2)
Hope this helps :)
Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.
a. 120 miles
b. 160 miles
c. 195 miles
d. 210 miles
Answer:
195 miles
Step-by-step explanation:
This is because it is closer to the avg. 192.5 miles
For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling, game $4, shoes $1. Knight owl bowling, game $3.75, shoes $2.
$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f
Which fraction is equivalent to that number? HELP NEEDED ASAP
Answer:
2/3
Step-by-step explanation:
Let n = the repeating, non-terminating number 0.666...
We now have n = 0.666666...
We want the number n in the form of a fraction.
Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.
10n = 6.666666...
n = 0.666666...
Subtract the bottom equation from the top equation.
9n = 6
n = 6/9
n = 2/3