Answer:
The constant of variation k is 6 and the value of x is 4.
Step-by-step explanation:
What is constant of variation?
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
What is direct variation?
A direct variation is a proportionality relationship in which two quantities follow a direct relationship.
What is inverse variation?
Inverse variation states when one variable increases then the other variable decreases.
Given,
y=14 when x=7 and z=3
The variation equation is,
y=kx/z
Inputting the values,
14=(k*7)/3
14*3=7*k
42=7k
k=6
When y=3, z=8 we will find x.
y=kx/z
3=6*x/8
3*8=6*x
x=24/6
x=4
Hence, the value is 4.
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The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
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A car travels a distance of 190 miles in 4
hours and 45 minutes.
Work out the average speed of the car, in
miles per hour.
Answer:
Speed = 40 miles/hourStep-by-step explanation:
Distance (d) = 190 miles
Time (t) = 4 hr 45 min = 19 / 4 hours
Speed = distance / time
= 190 / (19/4)
= 40 miles/hour
The average speed is the total distance traveled by the object in a particular time interval.
The average speed of the car in miles per hour is 40 miles per hour.
What is an average speed?The average speed is the total distance traveled by the object in a particular time interval.
We have,
Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes
This can be written in hours as:
= 4.75 hours
Average speed:
= Total distance / Total time
= 190 miles / 4.75 hours
Divide both the numerator and denominator by 4.75
= (190/4.75) / (4.75/4.75)
= 40 miles / 1 hour
Thus the average speed of the car in miles per hour is 40 miles per hour.
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Subtract and simplify your answer.
7/18-2/9
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
Answer:
1/6.
Step-by-step explanation:
7/18−2/9=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(7/18, 2/9) = 18
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(7/18×11)−(2/9×22)=?
Complete the multiplication and the equation becomes
7/18−4/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
7−4/18=3/18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using
GCF(3,18) = 3
3÷3/18÷3=1/6
Therefore:
7/18−2/9=1/6
A bacterium triples in size every 6 minutes. If you start with 3 bacterium
in a dish, which of the following calculates the total amount of bacteria
after t hours?
3^t+1
3(2)^10t
3•3^t/6
3(2)^10t+1
None of the above
9514 1404 393
Answer:
E none of the above
Step-by-step explanation:
"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...
n(t) = 3·3^(10t) . . . . . matches no offered answer choice
Answer this with detail, please!
Answer:
D
Step-by-step explanation:
Hello There!
In order for a relationship to be proportional it must follow these requirements:
It must have a constant rate of changeIt must go through the origin (0,0)The equation is put in y = kx form (where k = slope)Knowing this let us now look at each relationship
The first one indeed has a constant rate of change
However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship
For B:
B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin
The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)
in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional
For C:
Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship
For D:
Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)
The relation fulfills each requirement therefore D is your answer
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
x = _
•2
•6
•3.75
Thank you!
Answer:
so is the value of six times 1
Step-by-step explanation:
Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?
PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!
Answer:
H. 39.6
Step-by-step explanation:
i promise this is the right answer!
there is a mean, mode, range etc. calculator that can help you!
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Answer:
121
Step-by-step explanation:121 ! just got it right.
Answer:
D)
Step-by-step explanation:
on edge
The line passes through the points (3, 7) and (4, 9)
Answer:
I'm confused as to what your asking?
Answer:
y= 2x +1
Step-by-step explanation:
slope 9-7/4-3 = 2/1= 2
y-7 = 2(x -3)
y-7 = 2x -6
y = 2x +1
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that [tex]p = 0.04[/tex]
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
When [tex]n = 30[/tex]
We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Factor out the common factor in -45 + 81n + 90n^2
A: I think it’s 9(−5+9n+10n2)
Step-by-step explanation:
A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
Directions: Find the surface area of each figure.
1.
20.7 in
4
11 in
11 in
Answer:
576.4 in²
Step-by-step explanation:
Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)
Base area = s² = 11² = 121 in.²
Perimeter of base = 4(11) = 44 in.
Slant height = 20.7 in.
Plug in the values
Surface area = 121 + ½(44)(20.7)
= 576.4 in²
the area of a rectangle is 84x18y what is the length.
Answer:
Area =L×w
84×18y =L×w
by comparison
L =84 and w=18y
please help and putting the steps would help
Answer:
x = 8
Step-by-step explanation:
These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".
From that you can see that x is 8.
Answer:
the angles are alternate interior angle pair, they are equal
8x - 4 = 608x = 64x = 8What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x
O x = 5
0 x = 1 - 2
0 x =
O x=5
[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]
i hope it helps u
Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14
Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III
Similar means angles are the same
Congruent means angles and sides are the same.
Sail 1 and sail 2 have the same angles but the sides are not the same.
So sail 1 and sail 2 are similar.
Jaheem had $15, but he spent $12 at the
bookstore. Which of the following represents the
amount Jaheem spent?
A. 0.08 or 8%
B. 0.8 or 8%
C. 0.08 or 80%
D. 0.8 or 80%
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
Can somebody solve this?
Answer:4
Step-by-step explanation:2+2=4
Lola is putting a border on the quilt she is making. The quilt is shaped like a rectangle. The width of the quilt is 48 inches and its length is twice its width. How much border does Lola need?
Group of answer choices
Answer:
288in
Step-by-step explanation:
48 times 2 is 96
96 plus 96 plus 48 plus 48 for all sides of the rectangle = the perimeter or border
I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? I will delete the right answers.
Answer:400
Step-by-step explanation:
what is the value of x in the equation -6 + x = -5
Will give brainliest
Find the area of this circle. Use 3 for .
A = ar2
10 cm
[?] cm2
Answer:
300
Step-by-step explanation:
3x10x10=300
Answer:
300 cm^2
Step-by-step explanation:
A= (3)(10^2)
A= 3(100)
A= 300