Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
i got the answer its a
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A
Find the equation of the line that is perpendicular to y=1/3x+10 and passes through (3,-4)
Answer:
Step-by-step explanation:
1. perpendicular slope will be the negative of the reciprocal
2. so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3
3. So use the values given for x and y (3,-4)
4. substitute in the given equation using the -3 for the slope instead of 1/3
5. To find a new b we substitute for x and y
5. y = 1/3x + 10
6. -4 = -3 (3) + b
7. -4= -9+ b
8. b = 5
Equation of the line will be y = -3x + 5
Simplify.
(5+squartrt3)2
25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3
Answer:
Step-by-step explanation:
If the 2 is an exponent, it needs to be written as ^2.
(5+√3)² = 5² + 10√3 + 3 = 28 + 10√3
Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
how to rewrite equation 5x+7y-35=0 in slope intercept form?
which multiplication equation describes the picture of the third pies below?
Answer:4x1/3=4/3
Step-by-step explanation:
In the pictures there’s 4 one thirds and if u add them together is 4/3
Please help ill give BRAINLIEST. This is geometry
Answer:
A
Step-by-step explanation:
it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2
In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).
Answer:
df(t)/dt = 10 - 0.8f(t)
Step-by-step explanation:
The net rate of change, df(t)/dt = rate in - rate out
The rate in = rate litter forms on ground = 10 g/cm²/yr
Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr
Since df(t)/dt = rate in - rate out
df(t)/dt = 10 - 0.8f(t)
So the desired differential equation is
df(t)/dt = 10 - 0.8f(t)
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
D, 261
Step-by-step explanation:
Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.
Hope this helps! If it did, please give brainliest! It would help a lot! :D
Answer:
261
Step-by-step explanation:
If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.
There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.
Let's use that fact on the answers first:
281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9
273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9
261 -> 2 + 6 + 1 -> 9; divisible by 9
Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.
To know why this method works, note that a number ABC is equal to:
100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)
And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.
given that the circumference of an orange us 50.24mm find the volume of the orange
Answer: 803mm
Step-by-step explanation:
students at Westbrook middle school hold green team meetings
PLZ HELP ASAP 30 POINTS (Plz show work)
Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24
Answer:
x=6 x=-1
a=1.5 a=-2
n=-1.5 n=4
Step-by-step explanation:
(a) (b) (c)
10a2+5a-30
x=-b+-√b2-4ac/2a
a=-5+-√(5)2-4(10)(-30)/2(10)
a=-5+-√25+1200/20
a=-5+-√1225/20
a=-5+√1225/20
a=1.5
a=-5-√1225/20
a=-2
At what point do the line x+y=10 and y=2x+1 intercept
Answer:
do you have a picture of the question
Answer:
(3,7)
Step-by-step explanation:
Use a system of equations to solve for x and y which would be the only points where the two lines intersect
x+y=10
y=2x+1
since y=2x+1 you can put 2x+1 for y
so x+2x+1=10
3x+1=10
3x=9
x=3
put that back into x+y=10
3+y=10
y=7
So the only point where those two lines intersect is (3,7)
Hope that helps :)
Please give brainliest
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
Q3 = 30
Step-by-step explanation:
minimum value = 5
Q1 = 20 (this is the median of the lower half of data)
Median (sometimes called Q2) = 25
Q3 = 30 (this is the median of the upper half of data)
maximum value = 45
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck
what is the volume of the rectangular prism ?
Answer:V=whl
Step-by-step explanation:
all you have to do is multiply width times length times height
1 1/2 × 1 1/2 × 1 1/2= 3/2 × 3/2 × 3/2 = 27/ 8
simplify to
3 3/8
hope this was helpful:)
PLEASE HELP ME 30 points!!!
Multiple Choice
Eighteen students in a class play baseball.
Seventeen students in the class play basketball.
Thirty students in the class play either or both sports
Select the Venn diagram that shows the number of students who play basketball and baseball.
Answer:
A
Step-by-step explanation:
its a bec count how many student are their an see if they add IP to 30
The Venn diagram which shows the number of students who play basketball and baseball is option A.
What is Venn Diagram?Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.
Let A denotes the students playing baseball and B denotes the student playing basketball.
N(A) = 18
N(B) = 17
N(A ∪ B) = 30
We know,
N(A ∩ B) = N(A) + N(B) - N(A ∪ B)
= 18 + 17 - 30
= 35 - 30
= 5
Number of students who play both baseball and basketball = 5
Number of students who plays only baseball = 18 - 5 = 13
Number of students who plays only basketball = 17 - 5 = 12
This is shown in A.
Hence the correct option is A.
Learn more about Venn Diagrams here :
https://brainly.com/question/1605100
#SPJ2
Is this A,B,C or D helppppp
Answer:
D
Step-by-step explanation:
D goes thru positive 4 and negative 3
WILL MARK BRAINLIST
The second story gutters of a house need to be cleaned. The gutters are 18.7 ft. high on the house. If a ladder will be placed 6 ft. from the base of the house, how long will the ladder need to be to reach the gutters? Round to the nearest foot. *
A. 18 ft
B. 19 ft
C. 20 ft
D. 21 ft
Answer:
C. 20 Ft.
Step-by-step explanation:
Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.
18.7²+6²=c²
This gives you 385.69 + 36 = 385.69.
Next, square the result to find the missing side length.
[tex]\sqrt{385.69[/tex]
The answer comes out to around 19.6, which can be rounded up to 20ft.
Hope this helped!
please help me if you know the answer
Given f(x) = 6x – 9, find the value of f(-8).
Answer:
-57
Step-by-step explanation:
f(-8)=6(-8)-9
f(-8)=-48-9
f(-8)=-57
If 45/60 is equivalent to 3/x, find the value of x
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation:
The tables below show the values of Y for different values of X
Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Rate of change 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' = [tex]\frac{9-6}{-4-(-2)}[/tex]
m = [tex]\frac{3}{-2}[/tex]
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 = [tex]-\frac{3}{2}(x+2)[/tex]
y = [tex]-\frac{3}{2}x-3+6[/tex]
y = [tex]-\frac{3}{2}x+3[/tex]
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false
Question 3 Matt has yard of fishing line. He uses of the line to make fishing knots. How many yards of fishing line does Matt use to make fishing knots? Show your work Solution
Answer:
aSDFGHJLLMNNBBBBVCDDG
Step-by-step explanation:
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.
Answer:
7.065 sq. units
Step-by-step explanation:
The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.
Area = πr²
∴The required area is 7.065 sq. units