PLEAS HELP. EASY. HIGH POINTS
Phoebe surveyed T E E N S and A D U L T S to find the average number of hours of sleep they get during the week. Her results are shown below. Which statement regarding her survey results is true?
Hours of Sleep for T E E N S
A box-and-whisker plot. The number line goes from 1 to 12. The whiskers range from 2.5 to 12, and the box ranges from 5 to 8.5. A line divides the box at 7.
Hours of Sleep for A D U L T S
A box-and-whisker plot. The number line goes from 1 to 12. The whiskers range from 3 to 11, and the box ranges from 5 to 7.5. A line divides the box at 7.
A D U L T S get more hours of sleep on average than T E E N S
A D U L TS have less variability in the hours of sleep.
T E E N S have less variability in the hours of sleep.
T E E N S get less sleep on average than adults.
Answer:
Phoebe surveyed teens and adults to find the average number of hours of sleep they get during the week. Her results are shown below. Which statement regarding her survey results is true?
Hours of Sleep for Teens
A box-and-whisker plot. The number line goes from 1 to 12. The whiskers range from 2.5 to 12, and the box ranges from 5 to 8.5. A line divides the box at 7.
adult have less variability in the sleep hours because well they work more then us and us teens we have school starting at 7:45 am and the adult have to wake up to go to work or having to stay up
hope this can help
Find the slope of the line.
(1,6)
(3,2)
Its also on the picture btw
Answer:
- 2
Step-by-step explanation:
It helps when u make a table using the points given
x y
1 6
3 2
from 6 to 2 you need to subtract 4
from 1 to 3 you need to add 2
now its y/x
4/2 = 2
Since the line is going down that means your slope is negative so...
-2 will be your slope
Hope this helped!
Answer:
The slope is -2.
Step-by-step explanation:
There are two ways to solve this problem.
1st way is by looking at the graph:
*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.
*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.
2nd way is by subtracting y2 - y1 and x2 - x1:
(The order doesn't matter as long as you are subtracting correctly)
* First, 6 minus 2 is 4, and 1 minus 3 is -2. After, divide 4 by -2, and you'll end up with -2.
* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2
10. A curve has the equation y = ax^3 + x + c, where a
and c are constants. The gradient of the curve at the
point (1, 2) is -2.
(i) Find the value of a and of c.
(ii) Hence, find the coordinates of the other point
on the curve where the gradient is -2.
Answer:
Part I)
[tex]a=-1\text{ and } c=2[/tex]
Giving the equation:
[tex]y=-x^3+x+2[/tex]
Part II)
(-1, 2)
Step-by-step explanation:
We have the equation:
[tex]y=ax^3+x+c[/tex]
Where a and c are constants.
We are given gradient/slope of the curve at the point (1, 2) is -2.
Part I)
We know that the gradient of the curve exactly at the point (1, 2) is -2.
So, we will differentiate our equation. We have:
[tex]\displaystyle y=ax^3+x+c[/tex]
Differentiate both sides with respect to x:
[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3+x+c\big][/tex]
Expand the right:
[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3]+\frac{d}{dx}\big[x\big]+\frac{d}{dx}\big[c\big][/tex]
Since a and c are simply constants, we can move them outside:
[tex]\displaystyle y^\prime=a\frac{d}{dx}\big[x^3]+\frac{d}{dx}\big[x\big]+c\frac{d}{dx}\big[1\big][/tex]
Differentiate. Note that the derivative of a constant is simply 0.
[tex]\displaystyle y^\prime=3ax^2+1[/tex]
We know that at the point (1, 2), the gradient/slope is -2.
Hence, when x is 1 and when y is 2, y’ is -2.
So (we don’t have a y so we can ignore it):
[tex]-2=3a(1)^2+1[/tex]
Solve for a. Simplify:
[tex]-2=3a+1[/tex]
Subtract 1 from both sides yield:
[tex]-3=3a[/tex]
So, it follows that:
[tex]a=-1[/tex]
Therefore, our derivative will be:
[tex]y=-3x^2+1[/tex]
Now, we can go back to our original equation:
[tex]y=ax^3+x+c[/tex]
Since we know that a is -1:
[tex]y=-x^3+x+c[/tex]
Recall that we know that a point on our curve is (1, 2).
So, when x is 1, y is 2. By substitution:
[tex]2=-(1)^3+1+c[/tex]
Solve for c. Simplify:
[tex]2=-1+1+c[/tex]
Then it follows that:
[tex]c=2[/tex]
Hence, our entire equation is:
[tex]y=-x^3+x+2[/tex]
Part II)
Our derivative is:
[tex]y^\prime=-3x^2+1[/tex]
If the gradient is -2, y’ is -2. Hence:
[tex]-2=-3x^2+1[/tex]
Solve for x. Subtracting 1 from both sides yields:
[tex]-3=-3x^2[/tex]
So:
[tex]x^2=1[/tex]
Then it follows that:
[tex]x=\pm1\\[/tex]
Since we already have the point (1, 2) where x is 1, our other point is where x is -1.
Using our equation:
[tex]y=-x^3+x+2[/tex]
We can see that our second point is:
[tex]y=-(-1)^3+(-1)+2[/tex]
Simplify:
[tex]y=1-1+2=2[/tex]
So, our second point where the gradient is -2 is at (-1, 2).
I REALLY NEED HELP I FORGOT HOW TO DO THIS :(
Answer:
117.8
Step-by-step explanation:
i used heron's formula
√s(s-a)(s-b)(s-c)
s= (20+16+33)/2 = 34.5
√34.5(34.5-20)(34.5-16)(34.5-33)
= 117.8
Please help on timer ill give 15 brainlist
Answer:
B
Step-by-step explanation:
Someone please answer these questions I need help!! :(
Answer:
4. the answer is 20
5. x=12 y=30
6. MLV = TUV bySSS
7. ABC=HGF by SSS
to show work:
4. 15/12=25/x (cross multiply)
=15x=300 (divide both sides by 15)
= x=20
5. the triangle is equilatieral so all the angles are the same. this means 60=2y.
if you isolate the variable and divide both sides by 2, you get y=30
6. 49/14 = 28/8 ?
if you solve both the division problems, they both equal 3.5, meaning the side lengths are the same so the rule would be SSS or side side side
and you do the same thing with the next triangle too
hope this helps!! also brainliest would be nice but you dont have to
Someone, please help me fill this out
Answer:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)Step-by-step explanation:
Given the equation
y = 13x+5y = -3xy = x-10The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)20 points, please help I really bloody need it
2. The equation x+2= v-----3x+10 is of the form x+a=v------bx+c ,where a, b, and c are all positive integers and b>1. Using this equation as a model, create your own equation that has extraneous solutions.
(a) Using trial and error with numbers for a, b, and c, create an equation of the form x+a=v-----bx+c, where a, b, and c are all positive integers and b>1 such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.)
(b) Solve the equation you created in Part 2a.
(c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
x plus 3y minus 63
Step-by-step explanation:
Complete the table showing the price of different amounts of grapes at this rate
what is the slope of the line that passers through the point(9,-1)and(4,-11)
Answer:
slope is 2
Step-by-step explanation:
-11-(-1) =-10
4-9=-5
-10/-5
=2
Slope-2x
Combine like terms in (3x+5)+(4x-30
Answer:
The answer is 7x-25
Step-by-step explanation:
(3x+5)+(4x-30)
=3x+4x+5-30
=7x-25
Answer:
(3x+4x) + (5-30)
Step-by-step explanation:
For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x). You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer. Example if you were to solve this one you would combine your numbers with variable of x and then the numbers without the variable:
(3x+4x) +(5-30)
7x + -25 or 7x-25
50 PTS Please help me answer this asap!
Answer:
1. 2x + 1 ≤ 3
2. 1 + 3x ≥ -5
3. 5x - 7 ≥ 17
4. 5 - 3x ≥ 11
Step-by-step explanation:
Ok
5x - 7 ≥ 17
subtract 7 and u get 5x ≥ 10
divide that and you get ≥ 2
so 3 goes with that one
1 + 3x ≥ -5
subtract 1 and you get 3x ≥ -6
divide that and youll get x ≥ -2
so 2 goes with this one
2x + 1 ≤ 3
subtract 1 and u get 2x ≤ 2
divide them and you get x ≤ 1
so 1 goes with this one
5 - 3x ≥ 11
subtract 5 and u get -3x ≥ 6
divide it and u get x ≥ -2
so 4 goes with this one
Hoped this helps :)
also btw Brainly steals half the points you give out so instead of 15 ur giving me 25.
Divya has 70 rocks. She donates half of the rocks to a science center. Then she collects 3 rocks on each of her nature hikes. Write an expression to represent the number of rocks Divya has after she collects rocks on n nature hikes
5.5 x 18.2 = r whats r
Answer:
r=100.1x
Step-by-step explanation:
Answer:
55 91
—— • (x^——)
10 5
Step-by-step explanation:
the class marks of a distribution are 37 42 and 47 the class limits corresponding to class mark 42 are
Answer:
[tex]39.5,44.5[/tex]
Step-by-step explanation:
[tex]Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ first\ interval\ be\ u_1,v_1.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ second\ interval\ be\ u_2,v_2.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ third\ interval\ be\ u_3,v_3.\\Hence,\\As\ the\ class\ marks\ are\ uniform\ with\ an\ a\ difference\ of\ 5, the\\ observation\ is\ continuous\ and\ the\ class\ size\ is\ 5\ too.\\Hence,\\v_1=u_2, v_2=u_3\\[/tex][tex]Now,\\Lets\ consider\ the\ first\ two\ classes.\\37=\frac{u_1+v_1}{2} \\42=\frac{u_2+v_2}{2}\\By\ adding\ the\ equations:\\79= \frac{u_1+v_1}{2}+\frac{u_2+v_2}{2}\\79=\frac{u_1+v_1+u_2+v_2}{2}\\79=\frac{(u_1+v_2)+(v_1+u_2)}{2}\\79=\frac{(u_1+v_2)}{2}+\frac{(v_1+u_2)}{2}\\Now,\\As\ the\ mid-point\ between\ two\ points\ can\ be\ calculated\ by\\ its\ average:\frac{u+v}{2} \\Hence,\\u_2\ lies\ in\ the\ mid-point\ of\ u_1\ and\ v_2.\\u_2=\frac{(u_1+v_2)}{2}\\[/tex]
[tex]Hence,\\By\ substituting\ u_2=\frac{(u_1+v_2)}{2},\\79=u_2+\frac{v_1+u_2}{2}\\As\ v_1=u_2[Proven],\\79=u_2+ \frac{u_2+u_2}{2}\\79=u_2+\frac{2u_2}{2}\\79=2u_2\\Hence,\\u_2=\frac{79}{2}\\u_2=39.5\\Now,\ as\ we\ already\ know\ that\ the\ class\ size=5,\\v_2-u_2=5\\Hence,\\v_2=5+u_2\\Here,\\v_2=5+39.5\\v_2=44.5\\Hence,\\The\ upper\ limit\ of\ the\ second\ interval=44.5\\The\ lower\ limit\ of\ the\ second\ interval=39.5\\[/tex]
what are the possible coordinates of point a?
Answer:
(0,5)
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Find the solution of the systems of equations
Answer:
-2,-2
Step-by-step explanation:
-
Answer:
................(-2,-2)
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answer:
104
Step-by-step explanation:
Answer:
appreciate it man
Step-by-step explanation:
best of luck
Solve the system by substitution -4-y=17 and 4y=x
Answer:
x = -84
y = -21
Step-by-step explanation:
4 - y = 17
4y = x
Use the first equation to solve for y
4 - y = 17
y = 4 - 17
y = -21
In the second equation, get y on its own.
4y = x
y = x/4
Substitute the new second equation into the new first equation
-21 = x/4
-21 * 4 = x
x = -84
What is the slope of this line?
Enter your answer as a whole number or a fracion in simplest
forn in the box
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a1 = 2 and r = 3
a5 = [ ?]
The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
Learn more about geometric sequence here :
https://brainly.com/question/11266123
#SPJ5
1. A man walks for 12 hours. The table shows his
total distance, in miles, for several walking
times
3
5
8
10
12
Distance
6.3 9.2 15.7
19.5
24.5
|(Miles)
What does the correlation coefficient for the
data indicate about the strength of the linear
association between the time and the distance?
Answer:
Weak positive correlation
Step-by-step explanation:
Just trust me
Also it’s positive in a graph but it’s not changing that much so it’s weak
How do I solve this equation?
Answer:
[tex]x<3[/tex]
Step-by-step explanation:
STEP 1: Move all terms not containing [tex]x[/tex] to the right side of the inequality.
[tex]5x<15[/tex]
STEP 2: Divide each term by [tex]5[/tex] and simplify.
[tex]x<3[/tex]
STEP 3: The result can be shown in multiple forms.
Inequality Form:
[tex]x<3[/tex]
Interval Notation:
[tex](-[/tex]∞[tex],3)[/tex]
find perimeter of semicircle if radius is 22 cm (π=22/7)
Answer:
To calculate the perimeter of a circle we have this formula:
[tex]P = 2\pi r[/tex]
And, if we're going to calculate for a semicircle, we should divide it by 2
We should also take into account the diameter, as, if it's a semicircle, we also have to add the base of it, which will have the diameter length
Knowing this, we can see the formula to calculate this specific perimeter
[tex]\frac{2\pi r}{2} + 2r[/tex]
Now, we can replace r by 22:
[tex]\frac{2\pi *22}{2} + 2*22 \approx 113.12[/tex]
So the perimeter is approximately 113.12 cm
the altitude H of cylinder with a constant volume V is inversely proportional to the square of its radius R. write the related variation equation
Answer:
The related variation will be:
H = V/R²Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k × 1/x
Here 'k' is the constant of proportionality
Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.
so the equation can be mapped as
H ∝ 1/R²
H = k/R²
In this case, the k is the constant volume. i.e. V = k
Thus, the equation becomes
H = V/R²
where H is the altitude, V is the constant volume and R is the radius.
Therefore, the related variation will be:
H = V/R²The variation equation showing the relationship between H, V and R is given by H = VR²
A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.
An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.
Let H represent the altitude and R represent the radius.
H ∝ R²
H = VR²; V (volume) is the constant of proportionality
The variation equation showing the relationship between H, V and R is given by H = VR²
Find out more at: https://brainly.com/question/13977805
A representative sample of oak trees in a forest shows the trees to have a mean
circumference of 19.7 inches and a standard deviation of 1.3 inches. Assuming the
circumferences are normally distributed, estimate the proportion of oak trees in this forest that have a circumference greater than 21 inches.
Explain or show your reasoning.
Answer:
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Step-by-step explanation:
Given that
Mean = μ = 19.7 inches
SD = σ = 1.3 inches
We have to find the probability of circumference greater than 21 inches
Let x = 21 inches
First of all we have to find the z-score of the value
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Putting the values
[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]
We will use the z-score table to find the probability of x<21
P(z<1) = 0.8413
The value gives us the area under the curve up till that value
To find the greater than probability, we have to subtract less than probability from 1.
P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%
Hence,
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
if 5/x = 15/x+20, what is the value of x/5?
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
Brainliest Please!!
- Hermionia
Answer:
The answer is -1/2
Step-by-step explanation:
5/x = 15/x+20
5/x-15/x=20
-10/x=20
-10=20x
x= -10/20
x= -1/2
Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,160 in simple interest?
Pls show all work
Answer:
5 years
Step-by-step explanation:
Step one:
Given Information
Principal= $34,000
rate = 4.8%
SImple interest = $8,160
Required
The time T of the investment
Step two:
the expression for simple interest is
[tex]SI= PRT/100[/tex]
substitute
[tex]8160 = 34000*4.8*T/100[/tex]
cross multiply we have
[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]
divide both sides by 163200
[tex]816000/163200= T\\\\T= 5 years[/tex]
What is the solution set for this quadratic equation 2(x-3)^2-4=28
Answer: x₁=7, x₂=-1
Step-by-step explanation:
(x-3)^2= x^2-6x+9
2(x^2-6x+9)=28+4
x^2-6x+9=16
x^2-6x-7=0
you use the quadratic equation will give you 2 roots,
x₁=7, x₂=-1
What is the answer F()=-8
Answer:
The answer is 8³
Step-by-step explanation:
I think the letter f represents a hidden potential cubic number