Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
Lena buys candy that costs $6 per pound. She will buy less than 8 pounds of candy. What are the possible amounts she will spend on candy?
Use c for the amount (in dollars) Lena will spend on candy.
Write your answer as an inequality, solved for c.
What is the inequality for this?!
HELP!
Answer:
$42
Step-by-step explanation:
less than 8 is supposed to be 7 or less 6×7=$42
Which function is a translation of the parent absolute value function?
A: f(x) = 2/1
B. f(x) = |x+61
C. f(x) = x1
D. f(x) = -4/41
Answer:
B. f(x) = | x + 61 |
Step-by-step explanation:
An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.
The only option with this indication is option B.
B. f(x) = | x + 61 |
This equation can be solved in two ways;
first; f(x) = - (x + 61)
second; f(x) = x + 61
Each question Sandra answers incorrectly changes her overall score by -3/4 points. Sandras overall score was -4 1/2 points , and then she answered the last question incorrectly. What was Sandras final score
Following are the three types of data sets: a. Vehicle speeds on highway I-5 (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85 b. Sodium grams in canned soup (8 varieties) 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29 c. Campus health center visits (12 students) 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3 For each data set, find the median, midrange, and geometric mean. (Round your answers to 2 decimal places. Leave no cells blank. Enter 0 as an answer if undefined.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
A.)
Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85
Ordered data :
41, 49, 65, 67, 73, 74, 74, 82, 85
Sample size, n = 9
Median = 1/2 * (n +1) th term
Median = 1/2 * 10 = 5th term
Median value = 73
Midrange = (Maximum + minimum) / 2
Midrange = (85 + 41) / 2 = 126 / 2 = 63
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(41*49*65*67*73*74*74*82*85)^1/n
= 66.19
B.)
Sodium grams in canned soup (8 varieties)
X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29
Ordered data:
2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29
Sample size, n = 8
Median = 1/2 * (n +1) th term
Median = 1/2 * 9 = 4.5th term
Median value = (2.75+ 3.6) / 2 = 3.175
Midrange = (Maximum + minimum) / 2
Midrange = (4.29 + 2.68) / 2 = 3.485
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8
= 3.32
C.)
Campus health center visits (12 students)
X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3
Ordered data :
1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13
Sample size, n = 12
Median = 1/2 * (n +1) th term
Median = 1/2 * 13 = 6.5th term
Median value = 3
Midrange = (Maximum + minimum) / 2
Midrange = (1 + 13) / 2 = 7
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12
= 2.82
The table and boxplots below shows summary statistics for
two distributions of calories in 10 brands of beef hot dogs
and 10 brands of turkey hot dogs.
Answer:
Step-by-step explanation:
A class spends 1 hour 15 minutes on
English Language each school day. If
the total time spent in school each day
is 5 hour. What fraction of the time is
spent on English Language
Answer:
1/4
this is fraction of time spent on English language...
Practice polynomials
solve and show your work
3x^2-14x-5
Answer:
( − 5 ) ( 3 + 1 )
Step-by-step explanation:
Use the sum-product pattern: 3 2 − 1 4 − 5
3 2 + − 1 5 − 5
Common factor from the two pairs: 3 2 + − 1 5 − 5
( 3 + 1 ) − 5 ( 3 + 1 )
Rewrite in factored form
Answer:
Step-by-step explanation:
Standard form:
3x2 − 14x − 5 = 0
Factorization:
(x − 5)(3x + 1) = 0
Solutions based on factorization:
x − 5 = 0 ⇒ x1 = 5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Extrema:
Min = (2.333333, −21.333333)
Answer:
(3 x + 1 ) ( x − 5 )
HELP ME PLEASE! 20 POINTS!
Answer:
1 no answer=1/100
2 no answer=1/100
3 no answer=100
Step-by-step explanation:
Find the area of the shape shown below...
Please help-
Answer:
[tex]A=32~sq~units[/tex]------------------
[tex]A=A_1+A_2+A_3+A_4[/tex][tex]A=1/2(4)(10)+1/2(2)(2)+(2)(2)+1/2(2)(6)[/tex][tex]A=20+2+4+6[/tex][tex]A=32[/tex]-------------------------
hope it helps...
have a great day!!
My math assignment is due in 15 min pls help with this question
Answer:
1st quartile: 2.6
2nd quartile or median: 3.1
3rd quartile: 3.25
Step-by-step explanation:
La aparición de la escritura mara el fin de la prehistoria y el inicio de la historia
verdadero o falso
Answer:
Verdadero
Step-by-step explanation:
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Answer:
The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.
Which triangle isn't similar to QRS?
Answer:
∆ RPQ
Step-by-step explanation:
__________________
Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures? StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction
Answer:
20/500 and 25/625
Step-by-step explanation:
1. 20 of 500 failed, which is 20/500
2. 25 of 625 failed, which is 25/625
Answer:
its d
Step-by-step explanation:
i did the test
Jane and her friend Maria both invest in the stock market. The probability that Jane makes money in a given week is .6. The probability that Jane and Maria both make money in a given week is .48. What is the probability that Maria makes money in a given week if Jane also makes money in that same week
Answer:
.8
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the probability that Jane makes money in a given week is .6 and the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...
Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then
p(j) = .6 and
p(j) * p(m) = .48
.6 * p(m) = .48
p(m) = .48/.6
= .8
Relationship in Figures
What are the first eight numbers in a Fibonacci sequence when N is equal to 1?
a. 1,2,3,4,5,6,7,8
b. 1,1,2,3,5,8,13,21
c. 3,0,2,3,2,5,5,7
d. 1,1,2,2,3,4,5,7
Please select the best answer from choices provided
Answer:
B. 1,1,2,3,5,8,13,21
Step-by-step explanation:
I calculated it logically
The temperature at 12 p.m. wa
34. The temperature at 12 a m
was-16. What was the difference
in the temperatures?
An elevator was at the 4floor
It traveled up 18 floors, down 7
floors, up 6 floors and down 2
floors. What floor did the elevator
end up on?
submarine was traveling at 62
feet below sea level. It rose 17
feet, dropped 250 feet, then rose 25
feet. What was the submarines
Final position?
Answer:
first is 52°C
Step-by-step explanation:
Help besties please flip the picture to see better
Answer:
E. C= 80+ 12n
Step-by-step explanation:
____________
Write a variable expression for this amount.
fourteen times x
Type the correct answer.
Answer:
14x
Step-by-step explanation:
14x = 14 x (x) = 14(x)
56+ ? +11=94
Help me
Answer:
? = 27
Step-by-step explanation:
56 + ? + 11 = 94
? + 67 = 94
? = 27
The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?
Answer:
the time is 16 days
Step-by-step explanation:
The computation of the time period is given below:
N = 500 √t
2000 = 500 √t
√t = 4
Now do the square on both the sides
SO,
t = 16
Hence, the time is 16 days
We simply applied the above method to determine the time period
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
D. 78°
Step-by-step explanation:
50°+28°= 78°
_______
Lana earns $7.95 per hour . How much does she earn in 8 ?
Answer:
$63.6
Step-by-step explanation:
$7.95=1 hr
$7.95×8=$63.6
Out of 1,000 people in a small town 500 are members of a choir. Out of these 500 members in the choir 100 are men. Out of the 500 inhabitants that are not in the choir 300 are men. What is the probability that a randomly drawn man is not a member of the choir
Answer:
75%
Step-by-step explanation:
I need help with this asap thank you
Answer:a
Step-by-step explanation:a
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 4?
A. 3
B. 1
C. 2
D 0
Answer:
Step-by-step explanation:
2
Find a polynomial f(x) of degree 4 that has the following zeros. 7 (multiplicity 2), 0,-4. Leave your answer in factored form
Answer:
see below
Step-by-step explanation: 5 30 9 50
This is what I think they are asking for....
the zeroes are x = 0 x = -4 x = 7 twice ?? so
x(x+4)(x-7)² = 0
when I graphed the function it looked to be correct
Write the equation in slope-intercept form. -10x+2y=12
-please help
Answer:
y=5x+6
hope this helps
have a good day :)
Step-by-step explanation:
The slope intercept form for the equation -10x+2y=12 is y= 6+5x
What is slope- intercept form?The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:
the coordinates of any point on the line must satisfy.the coordinates of any point not on the line will not satisfy.The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.
Given:
-10x+2y=12
As, we know the slope- intercept form is
y= mx +b
Then writing the equation as the slope intercept form
-10x+2y=12
2y = 12 +10x
Divide both side by 2 to make the coefficient as 1.
y= 12/2 + 10x/2
y= 6 + 5x
Hence, the slope intercept form is y= 6+5x
Learn more about slope- intercept form here:
https://brainly.com/question/9682526
#SPJ2
How
many solutions exist for the mixed-degree system graphed below?
Answer:
There is one solution
(2, 2)
Step-by-step explanation:
The solutions are where the line and curve intersect.
The isone point of intersection and therefor one solution (2, 2)
Answer:
answer is b.) one
Step-by-step explanation:
edge 2021
Which expressions are equivalent to (59 + 3h + 4) - 2?
I think this is the answer
=(3h+61)