Step-by-step explanation:
81/24= 27/8Hello,
Let's say a the first term and r the ratio of the G.P.
[tex]u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\[/tex]
Translate the sentence into an equation.
Nine times the sum of a number and 4 is 3.
In 25 words or fewer, is this solution reasonable? Why or why not?
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points
Answer:
it cost 80 dollars
Step-by-step explanation:
cost per bag for X brand =25 $
cost per bag for y brand = 20$
minimize Z=(25X +20 y)
further formulate the problem
the given constraints are
2x + y equal 12
2x + 9y equal 36
2x + 3y equal 24
well on the graph given plot of the constraints
the corner points are
(0;0)
(6;0)
(0;4)
(9;2.5)
minimum z occurs at (0:4)
value of Z(minimum cost)=80$
Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.
Answer:
A. 4.44years
B. 1.5years
C. Yes
Step-by-step explanation:
a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts
First step is to determine the Annual discount for dead-bolts using this formula
Annual discount for dead-bolts=Discount percent × Annual premium
Let plug in the formula
Annual discount for dead-bolts=0.05 × $450
Annual discount for dead-bolts=$22.50
Now let determine the Recovery period using this formula
Recovery period=Cost of dead-bolts / Annual discount for dead-bolts
Let plug in the formula
Recovery period= (2 × $50)/ $22.50
Recovery period=$100/$22.50
Recovery period= 4.44years
Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years
b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors
First step is to calculate the Annual discount for smoke alarms using this formula
Annual discount for smoke alarms=Discount percent × Annual premium
Let plug in the formula
Annual discount for smoke alarms=0.02 × $450
Annual discount for smoke alarms=$9.00
Now let determine the Recovery period using this formula
Recovery period=Cost of smoke alarms / Annual discount for smoke alarms
Let plug in the formula
Recovery period=(2 × $7) / $9.00
Recovery period=$14/$9.00
Recovery period= 1.5 years
Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years
C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.
2+3=95
4+5=259
6+7=4913
8+9=?
Answer:
8117Step-by-step explanation:
by considering 2 + 3 = 95
3² = 9
2 + 3 = 5
by considering 4 + 5 = 259
5² = 25
4 + 5 = 9
by considering 6 + 7 = 4913
7² = 49
6 + 7 = 13
by considering 8 + 9 = ????
9² = 81
8 + 9 = 17
∴ 8 + 9 = 8117
What is the slope of the line? What is the y-intercept of the line? y = -x - 6
Answer:
m = -1
y intercept = -6
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -x -6[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y intercept .On comparing to the Standard form of the line we get ,
[tex]\implies Slope = -1 [/tex]
[tex]\implies y - intercept= -6 [/tex]
Slope: -1
Solution:This equation is written in slope-intercept form (y=mx+b).In this formula, "m" stands for the line's slope and "b" stands for the y-intercept of the line.Also, please notice that the slope of the line is the coefficient of x (the number next to x)If we don't have a number next to x, then the coefficient is equal to 1.If we have a minus sign next to x, then the coefficient is equal to -1.Therefore, the slope of the line is -1.Now, the y-intercept is a constant that's subtracted from/added to the slope.Therefore, the y-intercept of the line is -6.Hope it helps.
Do comment if you have any query.
Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of 12 m per second. Suppose they'd tart at the same point and time. What is the least number of seconds that will elapse before they are again together at the starting point?
Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
In the description of the following experiment, determine the experimental factor. A research team is testing a paste form of a drug to alleviate inflammation. Participants are grouped into Team A and Team B. Team A receives the paste form of the drug. Team B receives a similar paste with no active ingredients.
Answer:
The experimental factor is the drug to alleviate inflammation paste form
Step-by-step explanation:
An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically
In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)
Team A is administered the paste form of the drug being experimented
Team B is administered a similar paste with no active ingredient
Therefore, the experimental factor is the drug being administered in paste form
Help please
……………………..
Answer:
b ≈ 48.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then
b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )
Find the inverse mapping of x 2x +1
Find the TWO integers whos product is -12 and whose sum is 1
m
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3.
Answer:
-3,4 are the TWO integers whos product is -12 and whose sum is 1.
Step-by-step explanation:
-3×4=12
-3+4=1
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Write using exponents.
5.5.5. b. b. b.b
1 2 3 4 5 6 89
F9 CDI
a|b|x
NEXT QUESTION
O ASK FOR HELP
TURN IT IN
can i get a little help on this one please? asap.
³√5 / ⁴√5 = ¹²√5 = 5^1/12
5^1/12
Answer:
the answer is 5/|1 5
Step-by-step explanation:
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
Question in the image
Answer:
0.4
Step-by-step explanation:
consider this like some lines overlapping each other.
one line (A) is 0.5 long, the other (B) 0.4 long.
together they are 0.8 long.
that means that they overlap at a length of 0.1 (they share a segment 0.1 long).
of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).
Sarah finds herself with 9 different cheeses and 9 different wines. In how many ways can she pair one cheese to one wine
Answer:
She has 9 choices for each different cheese.
For each of these cheeses there are 9 different wines,
So 9 * 9 = 81 and there are
81 possible different choices
Can someone help me with this math homework please!
Answer:
2 and 3.
Step-by-step explanation:
2. and 3.
the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.
1. can't be an option as output values depend upon the input values and hence not independent
4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.
5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.
Answer:
(B, C, D)
Step-by-step explanation:
This scenario can be represented using this equation:
y = 3x + 7
y = total paintings after # of weeks (dependent variable)
x = # of weeks (independent variable)
3 = 3 paintings per week
7 = initial number of paintings
Let's evaluate each answer choice:
"The independent variable is represented by the ouput values"
No, this is wrong. The indepedent variable is the input values.
"The dependent variable is the total number of paintings"
This is correct. The total # of paintings is the output value, or the dependent variable.
"The total number of paintings depends on the number of weeks that have passed"
This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.
"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"
This is correct. There is only one possible output for each input.
"The number of weeks is the output value"
No, this is wrong. The total # of paintings is the output value, not the # of weeks.
Hope it helps (●'◡'●)
A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use
Answer:
Systematic Sampling
Step-by-step explanation:
According to the Question,
systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.So, systematic sampling is right Answer.
Answer:
Systematic Sampling
Step-by-step explanation:
What type of sampling did the daycare operator use Systematic Sampling.
can i please get some help on this one?
Answer:
wht yr u in tis is too hard yk
Step-by-step explanation:
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
PLEASE HELP ME
Which equation represents this sentence
“Mark is five years older than Jeffrey. The sum of Mark’s age and triple Jeffrey’s age is 73”
Answer:
C
Step-by-step explanation:
Let m represent Mark's age and j represent Jeffrey's age.
Mark is five years older than Jeffrey. Hence:
[tex]m=j+5[/tex]
The sum of Mark's age and triple Jeffrey's age is 73. In other words:
[tex]m+3j=73[/tex]
We can substitute:
[tex](j+5)+3j=73[/tex]
Therefore, our answer is C.
What is dummy variable? Explain interaction effects using dummy variables? Explain Autoregressive Conditional Heteroskedasticity (ARCH) and Generalized Autoregressive Conditional Heteroskedasticity (GARH) models. What to do when find problem of Autocorrelation?
Answer:
u here then today the thats yjvfh dfnrugevc5hdb
Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A
Step-by-step explanation:
— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .
Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ2
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answer:
[tex]Bike = 7[/tex]
[tex]Car = 8[/tex]
[tex]Walk = 9[/tex]
[tex]Bus = 12[/tex]
Step-by-step explanation:
Given
[tex]Bus = 120^o[/tex]
[tex]Walk = 90^o[/tex]
[tex]Car = 80^o[/tex]
[tex]n = 36[/tex] --- pupils
Required
Determine the number of students in each category
This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:
So, we have:
[tex]Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12[/tex]
[tex]Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9[/tex]
[tex]Car = \frac{80}{360} * 36 = \frac{80}{10} = 8[/tex]
To calculate the number of students that travel by bike, we have:
[tex]Car + Bike + Walk + Bus= n[/tex]
Substitute values
[tex]8 + Bike + 9+ 12= 36[/tex]
Collect like terms
[tex]Bike = 36 - 8 - 9 - 12[/tex]
[tex]Bike = 7[/tex]
Answer:
Look at picture
Step-by-step explanation:
[tex]solve : - \\ \\ (19 {}^{2} + 21 {}^{2} ) = {?}[/tex]
[tex] \sf Q) \: 19^{2} + 21^{2} = {?}[/tex]
[tex] \sf \to 19^{2} + 21^{2} [/tex]
[tex] \sf \to 361 + 441[/tex]
[tex] \sf \to 802[/tex] is the solution.
