If y varies directly with x, given x = 4 and y = 8. What is the value of k (constant of proportionality)?
Answer:
2Step-by-step explanation:
If y y varies directly with x, this is expressed as;
y ∝ x
y = kx
k is the constant of proportionality;
Given
x = 4 and y = 8
Substitute;
8 = 4k
4k = 8
k = 8/4
k = 2
Hence the constant of proportionality k is 2
pls answer im dying here
Answer: A rotation followed by a reflection. The two figures are congruent because (I'm not sure about this one because I don't know the options that the drop-down menu provides.)
HELP PLSSSSSSSSSSSSS
Answer:
14 miles per hour
Step-by-step explanation:
49/3.5= 14
Hope this helps!
pls mark brainliest if correct
Answer:
14 miles per hour because to find the speed, use the formula speed = distance / time. 49 / 3.5 = 14.
56 projects 5:9 ratio divide
PLEASE HELP ME NOW I DON’T UNDERSTAND
Answer:
60
Step-by-step explanation:
1% of alcohol is 0.6 millimeters. That means 100% of alcohol is 60 millimeters.
need help with this question please and thanks 100 points
95 points!!!! please help
When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home.
Draw a graph to represent this situation?
Answer:the sum of the first 20 terms of the sequence 50, 100, 150,.... is equal to
Step-by-step explanation:
Answer:
Just subtract, 400 - 50 = 350, 350 - 50 = 300....etc until you reach (8,0) point on the graph. Graph a straight line down from starting point (0,400) on graph to (8,0). This is your answer subtract 50 from 400 until you reach 0. Starting point (0,400) and ending point (8,0), it's a straight line down ward..
Step-by-step explanation:
Jan and Kim own numbers of marbles
that are in the ratio 5:6
Jan gains 2 more marbles and the ratio is
now 7:8
how many marbles do each own initially?
Answer:
5:6 + 7:8 = 12:14
Jan will have 12 marbles
Kim will have 14 marbles
Jan and Kim own 40 and 48 marbles respectively.
Important information:
Jan and Kim has marbles in ratio 5:6.Jan gains 2 more marbles and the ratio is 7:8.We need to find the initial number of marbles each own.
Ratio:Let the initial number of marbles be [tex]5x[/tex] and [tex]6x[/tex].
Jan gains 2 more marbles and the ratio is 7:8. So,
[tex]\dfrac{5x+2}{6x}=\dfrac{7}{8}[/tex]
[tex]8(5x+2)=7(6x)[/tex]
[tex]40x+16=42x[/tex]
Isolate the variable.
[tex]16=42x-40x[/tex]
[tex]16=2x[/tex]
[tex]\dfrac{16}{2}=x[/tex]
[tex]8=x[/tex]
Now, find the initial number of marbles.
[tex]5(8)=40[/tex]
[tex]6(8)=48[/tex]
Therefore, Jan and Kim own 40 and 48 marbles respectively.
Find out more about 'Ratio' here:
https://brainly.com/question/16054658
For a polynomial p(x), if p(a) = 0, then which of the following must be a factor of p(x)?
x^2 + a
x — а
x + a
x^2 - a
Answer:
x _ a
Step-by-step explanation:
because if a is zero .then they should be subtraction
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan?
Answer:
131.25 hope this helps
Step-by-step explanation:
use a calculator
Where is the point (-2, -3) located in the coordinate plane?
A. In quadrant IV
B. In quadrant 1
c. In quadrant 11
D. In quadrant III
Decide whether the change is an increase or a decrease, and find the percent change. Original number = 35; New number = 16.... PLS LEAVE A STEP BY STEP EXPLANATION
Answer: 60 decrease or 150 decrease
Step-by-step explanation:
What are the solutions of the equation x4 – 5x2 - 36 = 0? Use factoring to solve.
A. x = +-2 and x = +-3
B. x = +-2i and x = +-3
C. x = +-2 and x = +-3i
D. x = +-2i and x = +-3i
Answer:
x = -2i and x = 2i
x = 3 and x = - 3
Step-by-step explanation:
x^4 - 5x^2 - 36 = 0
let u = x^2 and substitute
we have:
u^2 - 5u - 36 = 0
(u - 9)(u + 4) = 0
u = 9 and u = - 4
substitute back for u
x^2 = 9
x = 3 and x = - 3
x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.
x = -2i and x = 2i
At the toy store, Caleb and his younger brother, Gabe, each used money they had saved to buy Motor Mystery boxes. The convertibles are their favorite cars to get! Out of the 30 cars in Caleb's Jumbo box, 12 were convertibles. Out of the 10 cars in Gabe's Mini box, 4 were convertibles. Did the boxes have the same ratio of convertibles to total cars yes or no
Answer:
Answer: Yes
Step-by-step explanation:
Ratios
Caleb's Jumbo box has 30 cars, 12 of which are convertibles.
This gives a ratio of 12:30. The equivalent fraction of this ratio is:
[tex]\frac{12}{30}[/tex]
This fraction can be simplified by dividing both parts by 6:
[tex]\frac{2}{5}[/tex]
Thus Caleb's ratio of convertibles is 2:5.
Gabe's Mini box has 4 convertibles out of 10 cars. This gives a ratio of 4:10.
Simplifying by 2, the ratio is 2:5.
It's clear that both boxes have the same ratio of convertibles to total cars.
Answer: Yes
The rectangular coordinates of a point are given. Find polar coordinates (r,theta) of this point with expressed in radians. Let r>0 and -2pi
(-2(square root)3,2)
PLEASE HELP URGENT
Answer:
The answer is "The Polar coordinates (r,[tex]\theta)[/tex] =[tex](4,\frac{5 \pi}{6})[/tex]"
Step-by-step explanation:
Given point:
[tex]\to (-2\sqrt{3},2)[/tex]
Formula:
[tex]r=\sqrt{x^2+y^2}\\[/tex]
[tex]=\sqrt{(-2\sqrt{3})^2+(2)^2}\\\\=\sqrt{12+4}\\\\=\sqrt{16}\\\\=\sqrt{4^2}\\\\=4[/tex]
[tex]\therefore \\\\ \tan \theta= \frac{y}{x}\\\\[/tex]
[tex]\tan \theta=\frac{2}{-2\sqrt{3}}\\\\ \tan \theta= -\frac{1}{\sqrt{3}}\\\\ \tan \theta= \frac{5\pi}{6}\\\\ \theta= \frac{5\pi}{6}[/tex]
The Polar coordinates (r,[tex]\theta)[/tex] =[tex](4,\frac{5 \pi}{6})[/tex].
solve for r a= pi r squared
Andrew's fish tank measures
24 inches long, 10.5 inches
wide, and 13 inches high. What
is the volume of the fish tank?
MONS
15 volume of the fish tank
how many times can 3 go into 10000
Answer:
3333 times
Anymore and you'll have extra
May I have brainliest please? :)
i just need a little help figuring this out
find the value of X
Is 150% of 36 less than 100, greater than 100 but less than 150, or greater than 150?
150% of 36 is
HELP!!
Answer:
no 150% of 36 is 54
Step-by-step explanation:
its 54 btw
Sheila bought a box of 25 headbands. When she arranged the headbands by color, she saw that 4 were green, 4 were red, 13 were blue, and 4 were pink. What is the percent of blue headbands she bought?
The graph shows how the value of a car changes over
time.
Which function best represents the relationship shown
in the graph?
Car
y
~ y = -3,000x9
30,000
25,000
By = 27,000x + 9
20,000
Value (dollars)
15,000
10,000
5,000
y = 27,000x - 3,000
0
1 2 3 4 5 6 7 8 9 10
Time (years)
Dy = -3,000x + 27,000
The linear function is given by y = -2000x + 30000
Linear functionA linear function is a function in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the value of the car after x years.
From the graph, the line passes through point (0, 30000) and (3, 24000), hence:
[tex]y-30000=\frac{24000-30000}{3-0} (x-0)\\\\y=-2000x+30000[/tex]
Find out more on linear function at: https://brainly.com/question/15602982
points A, S, Q, and R are ___
Answer:
both please brainlist me
circular running track is 1/5 of a mile long. Elena runs on this track, completing each lap in 1/15 of an hour. What is Elena's running speed?
Answer:
3m/hr
Step-by-step explanation:
Answer:
3mph
Step-by-step explanation:
-0.24 divided by 0.6
Answer:
-0.4
Step-by-step explanation:
Which decimal is the largest?
A. 0.03
B. 0.3
C. 0.29
D. 0.039
The answer is B 0.3 because its 3/10 and all of the others is lesss
You are renting a house in the Seychelles for a week at $1700. What is the cost per day?
(Show your answer in dollars and cents: For example $300 is entered as 300.00)
Answer:
your paying for each day 56.66
If 14 g of a radioactive substance are present initially and 2 yr later only 7 g remain, how much of the substance will be present after 5
yr?
Answer:
2.47g
Step-by-step explanation:
Given that Ao=14
A(t)= Aoe^kt
k =2yrs
Considering the function where Ao is the initial substance, k is the rate of decay and t is the time.
At the 2nd year A(t) is 7
That is,
7 = 14e^2k
Solve for k
7/14 = e^2k
In(7/14) = 2k
k = In(7/14)÷2
k = In(0.5)/2
k = -0.34657
Hence, A(t)= 14e^-0.34657
So, when t is 5
A(5) = 14e^-0.34657×5
= 2.4749
Approx = 2.47g
Plz help plz help plz plz plz plz plz plz
Answer:
i think it might be segment BW
Step-by-step explanation:
How many tiles are there?
Answer:
71
Step-by-step explanation:
