Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
Solve for x: [tex]22y\3x=8[/tex]
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)
which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
Change the percent to a decimal equivalent.
9 7/10
Answer:
0.97
Step-by-step explanation:
97 /100
You can round once from behind to convert 97% to 0.97
9 7/10 equals 9.7
sorry if the answer is wrong
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
|7t|=35 solve the equation
Answer:
t = 5,-5
Step-by-step explanation:
35/7 = 5
because it is an absolute value, it will always be positive:
-35/7 = -5
Answer:
T = 5,
Step-by-step explanation:
7T = 35
divide 7 by both
T = 5
hope this helps
The ratio of the angle measures of a triangle is 1:2:2. What is the value of the smallest angle? 180° 90° 72° 36°
Answer:
36 degrees.
Step-by-step explanation:
All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.
x + 2x + 2x = 180
5x = 180
x = 180 / 5
x = 36
Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.
Hope this helps!
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?
Answer:
[tex]6\:\mathrm{pages}[/tex]
Step-by-step explanation:
[tex]3 \times 4 = 12[/tex]
[tex]1\frac{1}{2} \times 4=6[/tex]
Answer:
6 pages
Step-by-step explanation:
1.5 pages x pages
--------------- = ------------
3 minutes 12 minutes
Using cross products
1.5 * 12 = 3x
Divide each side by 3
18 /3 = 3x/3
6 =x
6 pages
Find the missing number in the pattern! PLEASE HELP The half-life of caffeine is 5 hours; this means that approximately 1/2 of the caffeine in the bloodstream is eliminated every 5 hours. Suppose you drink a 16-ounce drink that contains 80 mg of caffeine. Suppose the caffeine in your bloodstream peaks at 80 mg. 1. How much caffeine will remain in your bloodstream after 5 hours? 10 hours? 1 hour? 2 hours? Record your answers in the table
Answer:
After five hours, there will be 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
Step-by-step explanation:
We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.
We are also given that the initial amount is 80 mg.
Using this information, we can write the following function:
[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]
Where x is the number of hours that has passed.
Using this function, we can evaluate for f(5), f(10), f(1), and f(2).
They evaluate to:
[tex]f(5)=40[/tex] [tex]f(10)=20[/tex] [tex]f(1)\approx 69.6440[/tex] [tex]f(2) \approx 60.6287[/tex]
So, after five hours, there are 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg of caffeine.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
which equation is represented by the graph below
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
what’s the solution of y=x-4 and y=1/3x
Answer:
(6, 2)
Step-by-step explanation:
Step 1: Use substitution
x - 4 = 1/3x
Step 2: Isolate x
2/3x = 4
x = 6
Step 3: Plug back into original equation(s)
y = 6 - 4
y = 2
Answer:
(6,2)
Step-by-step explanation:
Let's use the substitution method.
x-4=1/3x
3x-12=x
3x=x+12
2x=12
x=6
y=6-4
y=2
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
Select the correct shapes.
Select the shapes that are similar to shaoe A
Answer:
A , B and C are similar to each other
Step-by-step explanation:
Please give me branlest
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
learn more about Pythagoras's theorem here :
https://brainly.com/question/343682
#SPJ2
Which formula is used to calculate the standard deviation of sample data?
2.
X, - x
+ X2-X
+ ... + X-X
(1928)
s=1
n-1
(x1 - x)2 + (x2-x) +...+(XN-)?
2
11
N
w
(x1 - x)+ (x2-x)2 +...+(x+4) ?
N
2
Xq- x
-3)
+ X2-X
+
+ X
S=
n-1
Answer:
The first option from the picture
Step-by-step explanation:
In the picture attached, the question is shown.
In the first option:
s is the standard deviation[tex] x_1, x_2, \dots, x_n [/tex] are the members of the sample[tex] \bar{x} [/tex] is the sample meann is the number of members in the sampleThe formula for calculating the standard deviation of sample data is expressed as [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
What is a standard deviation?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean
The formula for calculating the standard deviation of sample data is expressed as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]
Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
Learn more on standard deviation here: https://brainly.com/question/475676
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
James earns $1000 weekly base pay as a sales-person and gets a 10% commission on everything he sells. It is said that he sold $20,000 worth of merchandise last month, how much did he earn for the month? Provide an explanation :)) A. $4,000 B. $22,000 C. $6,000 D. $2,000
Answer:
Option C.
Step-by-step explanation:
It is given that James earns $1000 weekly base pay as a sales-person.
We know that, we have 4 weeks in a month. So, monthly salary of james is
Monthly income [tex]=\$1000\times 4=\$4,000[/tex]
It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.
Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]
Total amount = Monthly income + Commission
[tex]=\$4,000+\$2,000[/tex]
[tex]=\$6,000[/tex]
Therefore, the correct option is C.
HELP AM BEING TIMED!!!!!!!!!!
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km