Answer:
4y - y^2 = 10
Step-by-step explanation:
Let x and y be the two numbers
x+y = 4
xy = 10
Taking the first equation and solving for x
x = 4-y
Substituting this into the second equation
(4-y) *y = 10
4y - y^2 = 10
A sports conference has 13 teams. It was proposed that each team play precisely one game against each of exactly seven other conference teams. Prove that this proposal is impossible to implement.
Step-by-step explanation:
Number of team = 13
Let us consider a graph with 13 vertices, each edge represents a match of two teams.
Total number of edges = 13(13-1)/2 =78 edge
Given conditions:
Each component plays 7 match with 7 other teams.
Total edges in the case = 7(6)/2 =21
Therefore edges in the graph are not equal to edges in the condition.
Therefore impossible to implement
5x - 10 less than it equal to 20
POINTS......!!!!
Please answer!!!
Please state the width (part a)
And length (part b)
Answer:
(a) = 71 cm
(b) = 89 cm
Step-by-step explanation:
(a.)
perimeter of a rectangular field = 324 m
length (l) = 91 m
width (w) = ?
Now,
Perimeter Of Rectangle
= P = 2(l + w)
= 2(91 + w) = 324m
= 182 + 2w = 324m
= 2w = 324 - 182m
= 2w = 142m
= w = 142/2
= w = 71
(b.)
area of rectangular painting = 5696 cm²
width (w) = 64 cm
length (l) = ?
Now,
Area Of Rectangle
A = l × w
= l × 64 = 5696
= l = 5696/64
= l = 89 cm
VERIFICATION:-FOR (a)
= P = 2(l + w)
= P = 2(91 + 71) = 324 cm
FOR (b)
= l × w
A = 89 × 64 = 5696
Rita bought 6 boxes of chocolates. Each box cost $6.48. How much did she spend?
Answer:
38.88
Step-by-step explanation:
Take the price per box and multiply by the number of boxes
6.48*6 =38.88
Evaluate : 9⁴xa⁷b⁴/ 3⁵xa⁴b⁴
Answer:
27a³
Step-by-step explanation:
9⁴xa⁷b⁴ / 3⁵xa⁴b⁴
(3²)⁴xa⁷b⁴ / 3⁵xa⁴b⁴
3⁸xa⁷b⁴ / 3⁵xa⁴b⁴
3³a³
27a³
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)? PLEASE HELP ASAP
Answer:
90
Step-by-step explanation:
Over the last three evenings, Lucy received a total of 107 phone calls at the call center. The second evening, she received 3 times as many calls as the third evening. The first evening, she received 7 more calls than the third evening. How many phone calls did she receive each evening?
Answer:
1st evening = 7 + 20 = 27 calls
2nd evening = 3 (20 ) = 60 call
3rd evening = 20 calls
Step-by-step explanation:
total calls for the last three evenings = 107 phone calls
2nd evening = 3x as many calls as the 3rd evening
1st evening = 7 more calls than the 3rd evening.
find:
how many calls did she receive each evening?
let T (total) = 107
let x = 3rd evening.
let 2nd = 3x
let 1st = (7 + x)
T = 1st + 2nd + 3rd
107 = (7 + x) + 3x + x
107 - 7 = 5x
100 = 5x
x = 100 / 5
x = 20
therefore,
1st evening = 7 + 20 = 27 calls
2nd evening = 3 (20 ) = 60 call
3rd evening = 20 calls
Answer:
1st = 27 calls
2nd = 60 call
3rd = 20 calls
Step-by-step explanation:
total calls = 107 phone calls
2nd = 3x
1st = 7 + 3x
T (total) = 107
T = 1st + 2nd + 3rd
107 = (7 + x) + 3x + x
107 - 7 = 5x
100 = 5x
x = 100 / 5
x = 20
so,
1st = 7 + 20 = 27 calls
2nd = 3 (20 ) = 60 call
3rd = 20 calls
A password contains three digits, such as 175. How many different passwords can be formed?
Answer:
157,517,715,751,571.Therefore,5 more passwords can be formed
What is the decibel level of a dog barking with intensity 10−5 watts per square inch? Use a logarithmic model to solve.
Answer:
70 dB
Step-by-step explanation:
D=10log(I10−12)
Substitute in the intensity level, I, and then simplify to find
DD=10log(10−510−12)=10log(107).
Since log107=7, simplify to find
DD=10⋅7=70.
The decibel level is 70dB.
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is(are) nothing. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) B. There is no mode.
Answer:
The mode of the given data is 8.
Step-by-step explanation:
The complete question is: The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are nothing . (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) B. The data set does not have a mode.
We are given the data for the number of credits being taken by a sample of 13 full-time college students below;
Credits: 9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.
Mode tells us that which value in our data set is appearing or occurring the maximum number of times.
As we can see in our data that the occurrence of the following credits are;
9 is occurring 3 times in our data.
12 is occurring 2 times in our data.
10 is occurring 1 time in our data.
8 is occurring 6 times in our data.
11 is occurring 1 time in our data.
Here, it is clear that the credit value of 8 is appearing the maximum number of times in our data set. So, the mode of the given data is 8.
A .......... divides a two dimensional shape in two congruent shapes
Answer:
A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)
Hope this helps!
How many is (k)/(4)=(3)/(8)
Answer:
k= 3/2
Step-by-step explanation:
[tex] \frac{k}{4} = \frac{3}{8} \\ \\ k = \frac{12}{8} \\ k = \frac{3}{2} [/tex]
Find the domain of the relation represented by the list of ordered pairs below (-2,9), (6,-7), (-9,-5), (-12,10)
Domain of the relation → {-12, -9, -2, 6}
Given in the question,
List of ordered pairs,
(-2, 9), (6, -7), (-9, -5), (-12, 10)In a ordered pair (h, k), domain is defined by the x-values and range is defined by the y-values.
Therefore, domain of the relation represented by the ordered pairs will be {-12, -9, -2, 6}
Learn more,
https://brainly.com/question/24212724
If the square root of n is approximately equal to 4.2, then n is between _____.
4 and 5
16 and 25
8 and 9
2 and 3
Answer:
16 and 25
Step-by-step explanation:
Given that the square root of n = 4.2, let's find an expression for this, then find the possible value of n.
Thus:
[tex] \sqrt{n} = 4.2 [/tex]
Solve for n. Square both sides.
[tex] (\sqrt{n})^2 = (4.2)^2 [/tex]
[tex] n = 17.64 [/tex]
Therefore, if the sqrae root of n was approximately equal to 4.2, then we can conclude that n is between 16 and 25.
Answer:
16 and 25
Step-by-step explanation:
Please Help I’ve been stuck on these questions for a while now!
Answer:
written below for problem #2
Step-by-step explanation:
a. ratio is 12:40 since they're are 12 non fiction and 40 graphic novels
b. 40:12 (same reasoning as part a)
c. 6:40 for the ratio of science fiction to graphic novel, 12:6 for the ration of non fiction to science fiction, x:6 for the ratio of the unknown amount of fiction books to the science fiction books. (x is just there as a variable so it just represents fiction books)
PLEASE HELP !
How many ounces are there is 2.59 gallons of lemonade? (There are quarts in a gallon. ) ounces in a quart and 4 quarts in a gallon .)
Answer:
331.52 oz
Step-by-step explanation:
Google :D
Answer:
a
Step-by-step explanation:
Currently, Nora is 3 times as old as Damon. In 8 years, she will only be 2 times as old as Damon. How old will Damon be in 8 years?
Answer:
The answer is 16
Step-by-step explanation:
A population of bacteria is growing rapidly. The population at any hour, h, can be represented
by the function f(h) = 2 • 4h. What is the population of bacteria after 4 1/2 hours?
Answer:
36
Step-by-step explanation:
Function is:
f(h) = 2*4hAfter 4 1/2 hours, h = 4 1/2 = 4.5
f(4.5) = 2*4*4.5 = 36Answer:
36
Step-by-step explanation:
4×4.5=18
18×2=36
Which of the following spreadsheets shows the financial plan with the greatest net cash flow?
a.
A
B
1 Cash Inflows
2 Disposable income
$2,350
3 Interest on deposits
SO
4 Income from investments
$0
5 Total Cash Inflow
$2,350
6
7 Cash outflows
8 Rent
$800
9 Utilities
$235
10 Cable and telephone
$125
11 Groceries
$400
12 Car expenses
$320
13 Recreation
$175
14 Insurance
$200
15 Miscellaneous
$80
16 Total Cash Outflow
$2,335
Answer:
Net Cash-flow = Cash Inflows - Cash Outflows
The net amount of cash that a company has is the difference between the cash coming in(revenue) and the cash going out (expenses).
Spreadsheet 1
= Cash Inflows - Cashflows
= 2,350 - 2,335
= $15
Spreadsheet 2
= Cash Inflows - Cashflows
= 2,270 - 2,260
= $10
Spreadsheet 3
= Cash Inflows - Cashflows
= 2,380 - 2,380
= $0
Spreadsheet 4
= Cash Inflows - Cashflows
= 2,150 - 2,055
= $95
Spreadsheet 4 has the greatest net cash flow at $95.
Answer:The answer is A
given that (y+2) (y+3) and (2y^2+1) are consecutive terms of an arithmetic progression, find the possible value of y
Answer:
-3/2 and 1
Step-by-step explanation:
Given the arithmetic sequence (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2
From the sequence given;
T1 = y+2, T2 = y+3 and T3 = 2y²+1
d = y+3-(y+2) = 2y²+1- (y+3)
open the parenthesis
y+3-y-2 = 2y²+1- y-3
1 = 2y²+1- y-3
1 = 2y²- y-2
2y²- y-2-1 = 0
2y²- y-3 =0
Factorize the resulting expression
2y²- y-3 =0
2y²- 2y+3y-3 =0
2y(y-1)+3(y-1) = 0
(2y+3)(y-1) = 0
2y+3 = 0 and y-1 = 0
2y = -3 and y =1
y = -3/2 and 1
Hence the possible values of y are -3/2 and 1
Find the area of the shaded figure.
Answer:
8500 ft²
Step-by-step explanation:
First we need to find the area of the non shaded region within this shaded region. To find the area of this non shaded rectangle, use the formula base×height.
20×100=2000 ft².
Now we need to find the height and width of the shaded region which is,
25+25+20=70 Height
25+25+100=150 Width
mutiply these numbers 150×70=10500 ft²
Now we just need to subtract that inside area.
10500-2000=8500 ft²
Help me pls 15 points
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0ii) H_0: rho = 0, H_1: rho notequalto 0iii) H_0: rho notequalto 0, H_1: rho = 0iv) H_0: rho = 0, H_1: rho > 0b. Construct a scatterplot. Choose the correct graph below.c. The linear correlation coefficient r is.d. The test statistic t is.e. The P-value is.
Answer:
The answers are below
Step-by-step explanation:
1. H0: rho = 0
H1: rho not equal to 0
2. I will add the scatter plot as an attachment
3. ΣX = 523,
ΣY = 1055
ΣX² = 46023
ΣY²= 430407
ΣXY = 111448
n = 7
The correlation coefficient r =
r = 7(111448)-(523)(1055)/√7(46023)-(523)² × √7(430407)-(1055)²
r = 780136-551765/√322161-273529√3012849-1113025
= 228371/220.53*1378.34
= 228371/303965.32
r = 0.751
4. Test statistics
t = r√n-2/√1-r²
= 0.751√5/√0.5640
= 1.679/0.660
= 2.543
5. P value
Degrees of freedom n-2 = 5
T dist(2.543,5,2)
The p value is less than 0.05 so we reject null hypothesis. There is enough evidence to show a linear correlation between budgets and gross receipts.
Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 14 based on earlier studies.
Answer: 67
Step-by-step explanation:
Formula to calculate sample size: [tex]n=(\dfrac{z^*\times s}{E})^2[/tex] , where s = standard deviation on prior studies , z* = two tailed critical value for confidence level , E = margin of error
Given: E = 4 , s= 14 and confidence level = 98%
Z-value for 98% confidence = 2.326
Then, required sample size: [tex]n=(\dfrac{2.326\times 14}{4})^2=(8.141)^2=66.275881\approx67[/tex]
Hence, the required sample size = 67 .
Sample size required to estimate the mean score on a standardized test is 67.
The confidence level (C) = 98% = 0.98
α = 1 - C = 0.02
α/2 = 0.02/2 = 0.01
The z score of α/2 is the same as the z score of 0.49 (0.50 - 0.01) which is equal to 2.33
Given that:
Standard deviation (σ) = 14, margin of error (E) = 4, n = sample size, hence:
[tex]E=z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\4=2.33*\frac{14}{\sqrt{n} } \\\\\sqrt{n}=8.155\\\\n=67[/tex]
Hence the sample size required to estimate the mean score on a standardized test is 67.
Find out more at: https://brainly.com/question/10501147
The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that are true about the whale’s path.
A. The domain is all real numbers x until the ocean hits the shore.
B. The range is (−∞,−4)
C. There are two points where the whale touches the surface.
D. f is decreasing for the whale's entire path.
E. The point where the whale touches the surface is a maximum.
Answer:
Option (A) and (E)
Step-by-step explanation:
Characteristics of the quadratic function representing the path of a whale as it surfaces for air is,
y = -4x²
1). Since domain of the given function will be all real number x until ocean hits the shore on both the sides of the path.
2). Range of the function will be the value of y from the bottom of the ocean to the surface.
3). Whale will touch the surface of the ocean at one point only.
4). Function 'f' will increase initially upto the surface of the ocean and then it will decrease.
5). Point where the hale touches the surface will be maximum.
Therefore, Options (A) and (E) will be the correct options.
Answer:
The answer is A and E hope this helps
Step-by-step explanation:
Which of the following sets of points are coplanar? I'm not sure what the answer is.
Answer:
The fourth one
Step-by-step explanation:
coplanar means the points on the plane and only B,E,D,C is on the plane
Hence, B,E,D,C is your answer
4. Both the Galapagos Islands and the island of Naura are on the Equator, but the Galapagos Islands are at 90.30◦W whereas the island of
Nauru is at 166.56◦E. How far is it from the Galapagos Islands to
Nauru traveling over the Pacific ocean along the Equator, correct to
the nearest km ?
Answer:
Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
Step-by-step explanation:
The angle between the two Islands is given as X
X = (180 - 166.56) + (180 - 90.30)
X = 13.44° + 89.70°
X = 103.14
Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.
Length of arc = (X/360) × 2πR
Where, R, radius of the earth = 6400 Km
Length of arc = (103.14/360) × 2π × 6400 Km
Length of arc = 11525.48 Km
Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
1mm66 converted in height inches
Answer:
0.065354330709 inch
Step-by-step explanation:
1 millimeter is equal to 0.03937007874 inches, so 1.66 mm is 0.065354330709 inches.
This comes from the definition 1 inch = 2.54 cm
so 1 inch = 25.4 mm. Divide by 25.4 and get:
0.03937007874 inch = 1 mm
In a study appearing a Science journal, a research team reports that plants in southern England are flowering earlier in the spring. Records of the first flowering dates for 385 species over a period of 47 years show that flowering has advanced an average of 15 days per decade, an indication of climate warming, according the the authors. What is the population of interest? *
Answer:
Its about plants
Step-by-step explanation:
Ella purchase 350 pallets of flowers there are 152 flowers on each pallet how many flowers did Ella purchase?
Answer:
53,200
Step-by-step explanation:
350 pallets times 152 flowers each is 53,200 flowers in total
Please give brainliest thanks
Answer:
53,200
Step-by-step explanation:
I saw the other guys answer