Answers
===========================================================
Explanation:
All direct variation equations are of the form y = kx, for some constant k.
We know that y = -8 and x = 4 pair up together. Let's use these two values to find k
y = kx
-8 = k*4
-8/4 = k
-2 = k
k = -2
Therefore, we go from y = kx to y = -2x
We can then find y when x = -4
y = -2x
y = -2*(-4)
y = 8
Answer:
y∝x
y=kx
k=y/x
by putting values
k=-8/4
k= -2
now ,if x= -4
as, y=kx
hence, y= (-2)(-4)
y=8
Step-by-step explanation:
Related Questions
Determine if the two figures are congruent and explain your answer.
Answers
Explanation: All respective sides have the same slope
The slope of the shapes are congruent.
There is a triangular number that has 55 dots in its shape. Which one is it? Write your answer as a number.
The triangular number that has 55 dots in its shape is the
-th triangular number.
Answers
9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
__
Additional comment
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
SCALCET8 3.9.019. A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 7 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking
Answers
Answer:
The solution is defined in the attached file please find it.
Step-by-step explanation:
People's movements between places is called
Answers
Answer:
The three answers I can think of are migration, immigration, and emigration.
Step-by-step explanation:
Hope this helps!
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Do not do any rounding.
Answers
Answer:
[tex]Cold = \frac{1}{6}\ mins[/tex]
Step-by-step explanation:
The correct given parameters are:
[tex]Both = \frac{1}{4}\ mins[/tex]
[tex]Hot = \frac{1}{12}\ mins[/tex]
Required
Time taken by the cold water faucet
We have:
[tex]Cold + Hot = Both[/tex]
Make Cold the subject
[tex]Cold = Both -Hot[/tex]
So, we have:
[tex]Cold = \frac{1}{4}-\frac{1}{12}[/tex]
Take LCM
[tex]Cold = \frac{3-1}{12}[/tex]
[tex]Cold = \frac{2}{12}[/tex]
Divide by 2
[tex]Cold = \frac{1}{6}[/tex]
Fraction in simplest form
Answers
9514 1404 393
Answer:
27/64
Step-by-step explanation:
The fraction being cubed is already in simplest form, so the cube is ...
[tex]\left(\dfrac{3}{4}\right)^3=\dfrac{3^3}{4^3}=\boxed{\dfrac{27}{64}}[/tex]
What is the product?
(-2d^2+5)(5d^2-6s)
Answers
Answer:
= -10d^4 + 12d^2s + 25d^2 - 30s
Someone please help me I’m having trouble!!!!
Answers
Answer:
(c) [tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
(d) [tex](x,y) = (0.67,2.33)[/tex]
Step-by-step explanation:
Given
See attachment
First, we complete the table
[tex]y = -x + 3[/tex] [tex]y = 2x + 1[/tex]
[tex]y = -0.6 + 3 = 2.4[/tex] [tex]y = 2 * 0.6 + 1 = 2.2[/tex]
[tex]y = -0.7 + 3 = 2.3[/tex] [tex]y = 2 * 0.7 + 1 = 2.4[/tex]
[tex]y = -0.8 + 3 = 2.2[/tex] [tex]y = 2 * 0.8 + 1 = 2.6[/tex]
[tex]y = -0.9 + 3 = 2.1[/tex] [tex]y = 2 * 0.9 + 1 = 2.8[/tex]
So, we have:
[tex]\begin{array}{ccc}x & {y = -x + 3} & {y = 2x + 1} & {0.5} & {2.5} & {2} & {0.6} & {2.4} & {2.2} & {0.7}&{2.3} & {2.4} & {0.8}&{2.2} & {2.6} & {0.9}&{2.1} & {2.8} & {1}&{2} & {3} \ \end{array}[/tex]
Solving (c): Between which values is y
The values of y are for both equations are closest at:
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Hence, the solution is between
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Solving (d): Approximated value of the solution
We have:
[tex]y = -x + 3[/tex]
[tex]y = 2x + 1[/tex]
[tex]y=y[/tex]
So:
[tex]-x + 3 = 2x + 1[/tex]
Collect like terms
[tex]2x + x = 3 - 1[/tex]
[tex]3x= 2[/tex]
Divide both sides by 3
[tex]x = 0.67[/tex]
Substitute [tex]x = 0.67[/tex] in [tex]y = -x + 3[/tex]
[tex]y =-0.67 + 3[/tex]
[tex]y =2.33[/tex]
So, the solution is:
[tex](x,y) = (0.67,2.33)[/tex]
By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week
Answers
Answer:
The right answer is "0.70".
Step-by-step explanation:
The given query seems to be incomplete. Please find below the attachment of the full query.
By using the Bayes' theorem, we get
⇒ [tex]P[(X<4)|(X \geq 2)] = \frac{P(2 \leq X < 4)}{P(X \geq 2)}[/tex]
By putting the values, we get
[tex]=\frac{[P(2)+P(3)]}{[1-P(0)-P(1)]}[/tex]
[tex]=\frac{(0.20+0.15)}{1-0.20-0.30}[/tex]
[tex]=\frac{0.35}{0.5}[/tex]
[tex]=0.70[/tex]
Write the monomial in its standard form. Name its coefficient and
identify its degree:
2
3
2 mºn :4.573
Answers
Answer:
A monomial in standard form is (essentially) the product of one or more factors: a constant coefficient and one factor for each variable in the expression.
Step-by-step explanation:
For example, in the monomial 4x2y3, the factors are 4, x2, and y3. First, the coefficient is 4. The next factor, x2, is the x-factor, whose degree is 2.
A bottling machine fills soda bottles with an average of 12.000 ounces of soda. The standard deviation is 0.002 ounces. If the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces, calculate the process capability index of the machine. Group of answer choices Less than or equal to 1 More than 4 More than 2 but less than or equal to 3 More than 1 but less than or equal to 2
Answers
Answer:
the process capability index of the machine is 2.5
Option c) [More than 2 but less than or equal to 3] is the correct answer
Step-by-step explanation:
Given the data in the question;
process average ( x') = 12.000 ounces
standard deviation σ = 0.002 ounces
the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces.
so
Upper specification Limit USL = 12.000 + 0.015 = 12.015 ounces
Lower specification Limit LSL = 12.000 - 0.015 = 11.985 ounces
the process capability index of the machine will be;
Cp = ( process average - Lower specification Limit ) / 3σ
so we substitute
Cp = ( 12 - 11.985 ) / ( 3 × 0.002 )
Cp = 0.015 / 0.006
Cp = 2.5
Therefore, the process capability index of the machine is 2.5
Option c) [More than 2 but less than or equal to 3] is the correct answer
There are 40 children in a classroom and n of them do not wear spectacles. (4)/(5) of the boys and (2)/(3) of the girls wear spectacles. Express the number of boys who wear spectacles in terms of n.
Answers
9514 1404 393
Answer:
b = 80 -6n . . . . boys who wear spectacles
Step-by-step explanation:
We know the ratio of boys who wear spectacles to those who don't is ...
(4/5) : (1 -4/5) = 4 : 1
If we let b represent the number of boys who wear spectacles, then the number who don't is b/4. Then total number of boys is then b +b/4 = 5b/4. The number of girls in the classroom is this number less than 40.
Let's define a few groups:
boys who wear spectacles: bboys who do not wear spectacles: b/4girls who wear spectacles: (2/3)(40 -5b/4)girls who do not wear spectacles (1/3)(40 -5b/4)Then the total of children who do not wear spectacles is ...
n = b/4 +(1/3)(40 -5b/4)
12n = 3b +(160 -5b) = 160 -2b . . . . multiply by 12
2b = 160 -12n . . . . . . . . . . . . . add 2b-12n
b = 80 -6n . . . . the desired relation, b = boys who wear spectacles
_____
Additional comment
The only values of n that make sense in this context are {8, 10, 12}, corresponding to {0, 15, 30} total girls and {40, 25, 10} total boys.
The number 0 is a critical point of the autonomous differential equation dx/dt = 7xn, where n is a positive integer. For what values of n is 0 asymptotically stable? Semi-stable? Unstable?
Answers
Answer:
a) 0 is stable when n = odd
b) 0 is semi-stable when n = even
c) 0 is unstable when n is odd
Step-by-step explanation:
Th differential equation for this question
dx/dt = x^n
n = positive integer
a) value of n where 0 is stable
0 is stable when x^n is replaced with -x^n
because considering n to be an odd number
-x^n > 0 when x < 0 while -x^n < 0 when x > 0
∴ In this scenerio we can conclude that 0 is stable when n = odd number
b) Value of n where 0 is Semi-stable
assuming n is an even number
x^n > 0 for all the values of x
c) Value of n where 0 is unstable
lets assume n is odd
when n < 0, xⁿ < 0
when n > 0, xⁿ > 0
i.e. 0 is asymptotically unstable when n is an odd number
−3 1/2 ÷ 1 1/4
khan academy
answer in simplified proper fraction
or
simplified improper fraction
Answers
Answer:
Step-by-step explanation:
Change the mixed numbers to improper fractions.
What is the solution to this equation?
6
O A. x = 18
O B. x= -2
O c. x= -18
O D. X= 21
Answers
O C. x = -18
Step-by-step explanation:
x/-3 = 6
x = denominator multiplied by quotient.
x = -3 x 6
x = -18
HELPP PLEASEEEEEEEEEEEEEEEEEEEEEE
The sum of 6 and 12 divided by 9.
Answers
18/9 = 2
The answer is 2
Hope this helps
If Sultan Akbar goes to the Grand Bazaar With 8000 Rupees and 20% is spent on a carpet, how much has the carpet cost him?
Si el sultan Akbar va al Gran Bazar Con 8000 Rupias y se gasta el 20 % en una alfombra, cuanto le ha costado la alfombra?
Answers
Answer:
1600 Rupees
Step-by-step explanation:
20 divided by 100 times 8000 will give you 1600 so the carpet costed him 1600
Which simplified equation is equivale to the equation shown below? 15x – 5 + x = -47
Answers
Answer:
[tex]15x - 5 + x = - 47 \\ 15 + x - 5 = - 47 \\ 16x - 5 = - 47 \\ 16x = - 47 \\ x = \frac{ -16x}{16} = \frac{ - 45}{16} \\ x = - \frac{21}{8} [/tex]
I need help finding the answer to this question on edge.
Answers
Answer:
6
Step-by-step explanation:
We need to evaluate :-
[tex]\rm\implies \displaystyle\rm\sum^4_n (-1)^n (3n + 2 ) [/tex]
Here the [tex]\Sigma[/tex] is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,
[tex]\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2) [/tex]
Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,
[tex]\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)[/tex]
Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,
[tex]\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}[/tex]
Hence the required answer is 6.
What is the answer to this
Answers
Answer:
y = -1.5x - 1
Step-by-step explanation:
We can use the general equation of y = mx + c to form our linear equation as seen on this graph.
Choosing two points on the graph (I will choose 0,-1 and 2,-4) we can find the gradient, m, as the distance between these points
[tex]\frac{Rise}{Run} = \frac{(-1)-(-4)}{(0)-(2)} = \frac{3}{-2} =-1.5[/tex]
We can find the c value by seeing where the graph cuts through the y-axis
This point is -1
Therefore our equation is y = -1.5x - 1
Alternatively, you could write it as [tex]y= -\frac{3}{2} x - 1[/tex]
Answer:
y = -1.5x - 1
Umm.. Hi there! Can someone please help me out with this? (only for those who know the answer)
Bcoz I really need this rn :(
DUEEEE AFTERRR LUNCHH! :(:(:(:(
If your answer is NONSENSE it will be deleted as soon as possible!
But if your answer is CORRECT, HELPFUL, HAS AN EXPLANATION, I'll chose your answer as the BRAINLIEST ANSWER!
Answers
Answer:
The Exterior Angle of triangle LDR is angle d. The Remote Interior Angles are a and b.
The Exterior Angle of triangle PDR is angle 4. The Remote Interior Angles are angles 1 and 2
Explanation:
Interior angles are the angles that are inside the shape. The remote interior angles would be the 2 angles away from the exterior angle.
The exterior angle is the angle, made by the side of the shape and a line drawn out from an adjacent side.
I hope this helps!
Answer:
In LDR
Exterior = d Interior = a, bIn PDR
Exterior = 4Interior = 1, 2Exterior angle of a triangle is formed when one side of the triangle is extended .
Interior remote angles the angles in the triangle that do not lie on the extended side.
The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensions of the rectangle. Use the formula, area=length*width.
Answers
Answer:
The dimensions of the rectangle are 8 by 7 centimeters.
Step-by-step explanation:
The length of a rectangle is 13 centimeters less than three times its width. In other words:
[tex]\ell = 3w-13[/tex]
Given that the area of the rectangle is 56 square centimeters, we want to determine its dimensions.
Recall that the area of a rectangle is given by:
[tex]A = w \ell[/tex]
Substitute in known values and equations:
[tex](56)=w(3w-13)[/tex]
Solve for w. Distribute:
[tex]3w^2-13w=56[/tex]
Isolate the equation:
[tex]3w^2-13w-56=0[/tex]
Factor. We want to find two numbers that multiply to 3(-56) = -168 and that add to -13.
-21 and 8 suffice. Hence:
[tex]3w^2 - 21w + 8w - 56 = 0 \\ \\ 3w(w-7) + 8(w-7) = 0 \\ \\ (3w+8)(w-7) = 0[/tex]
Zero Product Property:
[tex]3w+8=0\text{ or } w-7=0[/tex]
Solve for each case:
[tex]\displaystyle w = -\frac{8}{3} \text{ or } w=7[/tex]
Since the width cannot be negative, we can ignore the first solution.
Therefore, the width of the rectangle is seven centimeters.
Thus, the length will be:
[tex]\ell = 3(7) - 13 = 8[/tex]
Thus, the dimensions of the rectangle are 8 by 7 centimeters.
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Surveying 26 people to determine which brand of ice cream is their favorite.
A. Yes
B. No
There are more than two possible outcomes on each trial of the experiment. The experiment does not consist of n identical trials. The trials are dependent.
Answers
Answer:
The answer is "No, There are more than two possible outcomes on each trial of the experiment ".
Step-by-step explanation:
When various ice cream products are known. This might surpass 2 brands or more. Thus the number of different results varies considerably.
BINOMIAL DISTRIBUTION:
An investigation with a set set of individual tests, each only with two possible results.
Four conditions are met by the binomial experiment
The set of indicators is fixed.Each attempt is autonomous.2 potential results exist only.In each and every test, the probability of each outcome remains unchanged.Simplify 3/4 + 5/8 over 3/4 - 1/2
Answers
Answer:
11/2
Step-by-step explanation:
[tex]\frac{\frac{3}{4} + \frac{5}{8} }{\frac{3}{4} - \frac{1}{2} }[/tex]
= 3/4 + 5/8 = 11/8 (take LCM)
3/4 - 1/2 = 1/4 (take LCM)
11/8 ÷ 1 /4
= 11/8 x 4
= 11/2
Answered by Gauthmath
Suppose a jar contains 9 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the jar at
the same time, find the probability that both marbles are red. Round your answer to four decimal places.
Answers
Answer:
0.0306
Step-by-step explanation:
I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.
The first draw gives
9/49
Their is no replacement. That's because both marbles are drawn together. The second draw is
8/48
P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306
. Mildred bought an old
necklace and pair of earrings
while at an antique show. If
the cost of the jewelry is ]
and tax is 7%, which of the
following equations could be
used to find the total cost of
the jewelry?
a. .07 + ]
b. J +.07 x)
C. (.07x)) + ]
d. 7) + ]
Answers
Answer:
j * .07 +j
Step-by-step explanation:
The tax on the jewelry is J* .07
Add the tax to the cost of the jewelry to get the total cost
j * .07 +j
g Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. (-4, 8), undefined slope Hint: Any line parallel to Y axis has undefined slope.
Answers
Answer:
The equation is x + 4 = 0.
Step-by-step explanation:
Point (-4 , 8)
A line parallel to the Y axis has slope is infinite.
The equation of line is
[tex]y - y' = m (x-x')\\\\y - 8 =\frac{1}{0}(x+4)\\\\x + 4 = 0[/tex]
I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!
Answers
Answer: The answer that I got for z was 0.111575, which when you round it to the hundredths place would be 0.11
find c.round to the nearest tenth
Answers
Answer:
we need a picture...
Step-by-step explanation:
Solve the rational equation:
Answers
Answer:
Step-by-step explanation:
C. f(x) will be a very small negative number, approaching -∞
