Solve the equation.
r^4/7=16
Answers
Answer:
use the indices formula
Related Questions
hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4
Answers
Answer:
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x - 4[/tex]
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]
[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]
[tex]3y = 2x - 12[/tex] ---- Equation 1
Subtract 3y from both sides
[tex]-3y + 3y = 2x - 12 - 3y[/tex]
[tex]0 = 2x - 12 - 3y[/tex]
Add 12 to both sides
[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]
[tex]12 = 2x - 3y[/tex]
Rearrange:
[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex] ---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
---- Equation 1
Subtract 3y from both sides
Add 12 to both sides
Rearrange:
---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to
Step-by-step explanation:
1
0 5 5 8
2
2 5 8
3
5 6
1 | O means 10
Match the stem-and-leaf plot to the correct set of data.
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
B. 0,1,3,5,6,8
C. 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6
D. 1.0558, 2.258, 3.56
Answers
Answer:
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
Step-by-step explanation:
Stem and leaf plot
1 | 0 5 5 8
2 | 2 5 8
3 | 5 6
Example : 1 | 0 means 10
So, considering the examples :
1 | 0 5 5 8
10,15,15,15,18
2 | 2 5 8
22,25,28
3 | 5 6
35,36
So, the data set is 10,15,15,15,18,22,25,28,35,36
So, Option A is true
Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.
Answers
i would C because it the lights didnt bend
it went through
solve for k. 2.5(4k+2) =12k
Answers
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
question in attachment
Answers
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
hhhhhhhhhhheeeeeellllllllpppppp
Answers
Answer:
9(3+4)
Step-by-step explanation:
27+36
Factor out 9
9*3 + 9*4
9(3+4)
Answer:
9(3+4)
Step-by-step explanation:
First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.
Now, find the equivalent expression.
27+36
Distribute out a 9. Divide both numbers inside the parentheses by 9.
9(27/9+36/9)
9(3+4)
Pls do 4,5 for 7 points.
Answers
Answers:
6-5please see the attached picture for full solution
hope it helps
Good luck on your assignment...
Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these
Answers
Answer:
girl
Step-by-step explanation:
What in the world 3000%
Help anyone???? Please
Answers
Answer: A
Angle a = Angle b since they are vertical angles
please help!
Given:
AB = BC
ADB =
a. 30
b. 37.5
c. 60
Answers
The measure of the angle is ∠ADB=60
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here: ∠A =∠B=60
By triangle sum property we must have ∠A +∠B+∠D=180
∠D=60
Thus the triangle must be an equilateral triangle with all its angles equal to 60
Hence, The measure of the angle is ∠ADB=60
Learn more about triangles here:
https://brainly.com/question/29133099
#SPJ2
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half
Answers
Answer:
0.0625
Step-by-step explanation:
Data
P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2The probability of event A, given that event B has occurred is computed with the following equation:
P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]
Replacing with data:
P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625
Answer:5.17%
Step-by-step explanation:
If two angles are complementary to the same angle, then they are congruent to each other.
Answers
Answer:
supplementary
Step-by-step explanation:
Answer:
Congruent Complement Theorem
Explanation:
I also had virtualsc, and this was the answer I chose, and it was correct.
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem
Answers
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
[tex]y=-0.50(0)+12=12[/tex]
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
Answer:
y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.
Step-by-step explanation:
Note : The given equation is not correct.
It is given that Joe took $12 to the arcade and each game cost $0.50 to play.
This situation can be modeled with the equation
[tex]y=0.50x+12[/tex]
where, y is total cost of playing x games.
We need to find y-intercept.
Substitute x=0 in the above equation to find the y-intercept of the equation.
[tex]y=0.50(0)+12[/tex]
[tex]y=0+12[/tex]
[tex]y=12[/tex]
So, the y-intercept is 12.
Here y-intercept represents the total cost if the number of games is zero.
It means y-intercept shows the fixed cost of arcade, i.e., 12.
I need some help on these two questions.
Answers
Answer:
see explanation
Step-by-step explanation:
The length of the arcs are calculated as
arc = circumference of circle × fraction of circle
(13)
arc = 2πr ×[tex]\frac{72}{360}[/tex]
= 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units
(14)
arc = 2π × 2 × [tex]\frac{270}{360}[/tex]
= 4π × [tex]\frac{3}{4}[/tex] = 3π units
If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
(2,5, 3, 9)
(3, 7, 3, 4,1)
all whole numbers
{1, 3, 4, 7}
Answers
To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.
Side note: Choice A is listing the x values of each point, which is the domain.
16
h(x)=−(x−2)
2
+16
Answers
Answer: -24
Step-by-step explanation:
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
Answers
PLS HELP my homework is due tomorrow
Answers
Answer:
for 1 its -0.25 and 1.25
for 2 its -0.5. and 1.5
Step-by-step explanation:
idk if there is, but just use the graph + common sense.
you don't need to solve it in any way
Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?
Answers
Answer:
y=-5x+44
Step-by-step explanation:
Identify the type of pair of angles labeled as 1 and 2 in the figure.
Question 4 options:
A)
Adjacent angles
B)
Linear pair
C)
Complementary angles
D)
Vertical angles
Answers
Hey!!
1 and 2 are vertical angles.
Vertically opposite angles are always equal to each other.
Hope it helps..
Answer:
D
Step-by-step explanation:
At which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)
Answers
Answer:
(-3,-2)
Step-by-step explanation:
Rewrite first equation in slope-intercept form ( y = mx + b)
2x -y + 4 = 0
-y = -2x - 4
y = 2x + 4
Now rewrite second equation in slope intercept form
y = -x -5
Graph both equations on a calculator and you see that they intersect at (-3,-2)
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *
A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.
Answers
Answer:
Correct option is:
B. There were 2,996 girls surveyed, and about 45% of them play video games.
Step-by-step explanation:
Let us calculate the percentage step by step as per the options.
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total boys = 2996
7. Total number of candidates = Total boys + Total girls = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]
So, option A is not correct.
Percentage of girls who play video games:
[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]
The percentage is near about 45%, so option B is correct.
Percentage of Total number of students, who do not play video games:
[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]
So, option C is not correct.
Hence, correct answer is option B.
Answer:
Its b
Step-by-step explanation:
B , it just makes sense
If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answers
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
72 mph
Step-by-step explanation:
Please give brainliest
You have distance =210 miles
Increase it by 20%
210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.
The new route is 252 miles
Time travelled = 3.5 hours
Speed=distance/time
Speed = 252/3.5 = 72 mph
2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?
Answers
Answer:
its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.
If f(x) = 5x, what is y(x)?
Answers
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.
Answers
Answer:
Volume V = 164,636,210,208.924 km^3
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr^3
radius r = 3400 km
Volume of mars V = (4/3)π×3400^3
V = 164,636,210,208.924 km^3
What are the steps to solve 1-3x=4-2x
Answers
Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x
answer asap please ! ill give brainliest
Answers
I don't know, sorry. :(
I need help please, I will give whoever answers this gets brainliest
Answers
Hey!!
H (2,1),(4,3),(6,5),(2,7) is not a function.
please see the attached picture
Hope it helps
Good luck on your assignment