Answer:
Values of x
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function while the co-domain is the set of all possible outputs of the function.
In other words, domain is the set of x-values that you can put into any given equation while co-domain is the sex of f(x)-values that you get from substituting the values of x.
Hope it's clear
Help please!
• 7/25
•7/24
•24/25
•24/7
Answer:
24/25
Step-by-step explanation:
The sin value is the y coordinate of the exact value point.
24/25 is the y coordinate so 24/25 is the answer.
Answer:
24/25 is the correct answer
If four pounds of potatoes cost $6.00, how much would 10 pounds of potatoes cost.
SHOW ALL YOUR WORK!!!!!
Answer:
10 pounds of potatoes would cost $15.
Step-by-step explanation:
Set up proportion.
4/6=10/x
simplify 4/6 into 2/3,
2/3=10/x
cross product,
2*x=3*10
2x=30
x=30/2
x=15
lemme just add some to the great reply above,
[tex]\begin{array}{ccll} lbs&\$\\ \cline{1-2} 4&6\\ 10&x \end{array}\implies \cfrac{4}{10}=\cfrac{6}{x}\implies 4x = 60\implies x = \cfrac{60}{4}\implies x = 15[/tex]
June, Gavyn and Alex share some sweets in the ratio 5:5:3. June gets 22 more sweets than Alex. How many sweets are there altogether?
Answer:
Let June's sweets be 5x.
Then Gavyn's sweets will be 5x.
And Alex's sweets will be 3x.
5x = 3x + 22
2x = 22
x = 11
So June has 5 x 11 = 55 sweets
Gavyn has 5 x 11 = 55 sweets
And Alex have 3 x 11 = 33 sweets
Total
= 55 + 55 + 33
= 143 sweets
Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should she drive in order to overtake him in 10 minutes.
Answer:
45 mph
Step-by-step explanation:
This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)
Let's keep track of what he does in the time allotted.
How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.
convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour
d = r*t
r = 30 km/hour
t = 1/12 hour
d = 30 km/hr * 1/12 hour = 2.5 km
Now she's about to start. She wants to catch him in 10 minutes
d = r*t
r = x mph
t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.
How far does he go in the 10 minute time?
d = 30 * 1/6 = 5 km
What is his total distance
5 km + 2.5 km = 7.5 km
Finally how fast does she need to go to catch him
d = 7.5 km
r = ? This is what you are trying to find
t = 1/6 of an hour
d = r*t
7.5 km = r * (1/6)hour divide by 1/6 hour
7.5 km // 1/6 hour = r
r = 7.5 * 6 = 45 mph
had
n=2
n²-n-2
n² – 5n+6
Answer:
0，0
Step-by-step explanation:
n=2，
[tex] {2}^{2} - 2 - 2 = 0 [/tex]
[tex] {2}^{2} - 5 \times 2 + 6 = 0[/tex]
After x hours, the distance between two trains traveling in opposite directions from the same station is 704 km. If one train travels 96 km/h and the other travels 80 km/h, find the number of hours they traveled if they left at the same time.
Answer:
4 hr
Step-by-step explanation:
96 x 4= 384
80 x 4=320
384+320=704
22
Question 6 Multiple Choice Worth 1 points)
(04.02 LC)
For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation?
3x + y = 8
-x - 2y = -10
O-2y + 10
O 2y + 10
O 2y - 10
O-2y - 10
Answer:
-2y + 10
Step-by-step explanation:
Substitution method:
On the second equation of the system, we have to find x as a function of y.
-x - 2y = -10
We have to find x as a function of y, so:
[tex]-x = -10 + 2y[/tex]
Multiplying both sides of the equality by -1:
[tex]x = -2y + 10[/tex]
So -2y + 10 is the answer to this question.
Detroit's population in 2012 was 699,710 people. Detroit's population in 2016 was 678,045 people.
What is the absolute change from 2012 to 2016?
Round your answer to the nearest person.
Answer:
The absolute change was of -21,665 people.
Step-by-step explanation:
Absolute change:
Final value subtracted by the initial value.
In this question:
Initial value: 699,710
Final value: 678,045
What is the absolute change from 2012 to 2016?
678045 - 699710 = -21,665
The absolute change was of -21,665 people.
Solve the following system of equations
Answer:
Given Two equations :-
[tex]3x {}^{2} - 2 {y}^{2} = 57 .\: .\: .\: . \:(i) \\ - 2 {x}^{2} + 3 {y}^{2} = -23.\: .\: .\: . \:(ii)[/tex]
multiplying eq.(i) by 2 eq.(ii) by 3.[tex](3x {}^{2} - 2 {y}^{2} = 57 ) \times 2 .\: .\: .\: . \:(i) \\ ( - 2 {x}^{2} + 3{y}^{2} = - 23) \times 3.\: .\: .\: . \:(ii)[/tex]
[tex]6x {}^{2} - 4 {y}^{2} =114 .\: .\: .\: . \:(i) \\ - 6 {x}^{2} + 9 {y}^{2} = - 69.\: .\: .\: . \:(ii)[/tex]
[tex]0 + 5 {y}^{2} = 45 \\ 5y {}^{2} = 45 [/tex]
diving both sides by 5[tex] {y}^{2} = 9[/tex]
taking Square root[tex]y = + - 3[/tex]
placing this value of y² in eq. (i)3x²- 2×9 = 57
3x² - 18 = 57
adding 18 to both sides3x² = 57 + 18
3x²= 75
diving both sides by 3x² = 25
x = ± 5
So, the values of x are +5 and -5 and the values of y are +3 and -3Stuck on this question
Answer:
9262
Step-by-step explanation:
just plug in 22 for n and calculate
Suppose the sales (1000s of $) of a fast food restaurant are a linear function of the number of competing outlets within a 5 mile radius and the population (1000s of people) within a 1 mile radius. The regression equation quantifying this relation is (sales)
Answer:
[tex]Sales = 86.749[/tex]
Step-by-step explanation:
Given
[tex]Sales = 0.845*(competitors) + 5.79*(population) + 13.889[/tex]
[tex]Competitors = 4[/tex]
[tex]Population = 12000[/tex]
See comment for complete question
Required
The sales
We have:
[tex]Sales = 0.845*(competitors) + 5.79*(population) + 13.889[/tex]
Substitute values for competitors and population
[tex]Sales = 0.845*4 + 5.79*12 + 13.889[/tex]
[tex]Sales = 3.38 + 69.48 + 13.889[/tex]
[tex]Sales = 86.749[/tex]
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were considered to be the best where the opinion of judges got divided. Six judges where in favor of FA whereas five in favor of FB. A random sample of five judges was drawn from the panel. Find the probability that out of five judges, three are in favor of film FA.
Answer:
The answer is "0.4329 ".
Step-by-step explanation:
P( three in favor of FA)
Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges
[tex]=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2 \times 1\times 3!}\times \frac{5 \times 4 \times 3!}{2 \times 1 \times 3!}}{\frac{11 \times10 \times 9 \times 8 \times 7 \times 6! }{5 \times 4 \times 3 \times 2 \times 1 \times 6!}}\\\\[/tex]
[tex]=\frac{ (5 \times 4) \times(5 \times 2)}{(11 \times 3 \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329[/tex]
Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible are possible
Answer:
10
Step-by-step explanation:
5C2 =5!
2! (3)!
=1 x 2 x 3 x 4 x 5
(1 x 2) (1 x 2 x 3)
=4 x 5
2
=20
2
5C2 = 10
Assuming the probability of a single sample testing positive is 0.15, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
[tex]P(Positive\ Mixture) = 0.2775[/tex]
The probability is not low
Step-by-step explanation:
Given
[tex]P(Single\ Positive) = 0.15[/tex]
[tex]n = 2[/tex]
Required
[tex]P(Positive\ Mixture)[/tex]
First, we calculate the probability of single negative using the complement rule
[tex]P(Single\ Negative) = 1 - P(Single\ Positive)[/tex]
[tex]P(Single\ Negative) = 1 - 0.15[/tex]
[tex]P(Single\ Negative) = 0.85[/tex]
[tex]P(Positive\ Mixture)[/tex] is calculated using:
[tex]P(Positive\ Mixture) = 1 - P(All\ Negative)[/tex] ---- i.e. complement rule
So, we have:
[tex]P(Positive\ Mixture) = 1 - 0.85^2[/tex]
[tex]P(Positive\ Mixture) = 1 - 0.7225[/tex]
[tex]P(Positive\ Mixture) = 0.2775[/tex]
Probabilities less than 0.05 are considered low.
So, we can consider that the probability is not low because 0.2775 > 0.05
the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths
Answer:
Length of the rectangle:
[tex]x = \frac{4800}{106} = \frac{2400}{53} [/tex]
Breadth of the rectangle:
[tex]60\%(x) = \frac{60}{100} \times \frac{4800}{106} \: \: \: \: \: \: \: \: \: \: \: \\ =60 \times \frac{48}{106} \\ = \frac{2880}{106} [/tex]
Step-by-step explanation:
Longer side of the rectangle(length) = x
Shorter side of the rectangle(breadth) = (60%)x
Perimeter of the rectangle = 2(l+b) = 96 inches
Hence,
[tex]96 = 2(x + 60\%(x))[/tex]
[tex]96 = 2(x + \frac{6}{100 } x)[/tex]
[tex]96 = 2( \frac{100}{1 00} x + \frac{6}{100} x)[/tex]
[tex]96 = 2( \frac{106}{100} x)[/tex]
[tex]96 = \frac{106}{50} x[/tex]
[tex]96 \div \frac{106}{50} = x[/tex]
[tex]96 \times \frac{50}{106} = x[/tex]
[tex] \frac{4800}{106} = x[/tex]
Which of the following can be constructed by drawing an angle on tracing
paper and then folding the paper so that the rays forming the angle lie upon
each other?
A. Parallel lines
• B. Angle bisector
• C. Median of a line segment
•
D. Perpendicular line segment
B. angle bisector.
i hope this helps
BAC can be proved congruent to DEF by
Answer:
ASA
Step-by-step explanation:
∠ABC ≅ ∠EDF Angle
BC ≅ DF Side
∠C ≅ ∠F Angle
Write 9/7 as a mixed number. Give your answer in its simplest form.
Answer:
1 2/7 ........................................
Answer:
1 2/7.
Step-by-step explanation:
Divide 9 by 7 :- this gives 1 with a remainder of 2.
So it is 1 2/7.
help asap! Might be easy for some of you
Answer:
51
Step-by-step explanation:
(-3)^4-5(5)+6(5)÷(-3)(2)
81-25+30÷-6
81-25-5
81-30
51
(Remember order of operations-PEMDAS)
one number is seven less than the second number. five times the first is 9 more than 6 times the second. find the numbers
Step-by-step explanation:
2nd number = x
1st number = x - 7
5 (x - 7) = 6x + 9
5x - 35 = 6x + 9
- x = 44
x = - 44
1st number = -51
2nd number = -44
Proof: 5 (-51) = 6(-44) + 9
-255 = -264 + 9
-255 = -255
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Why is underfind the square root of a negative number?
Answer:
The square root of a negative number is undefined, because anything times itself will give a positive (or zero) result. Note: Zero has only one square root (itself). Zero is considered neither positive nor negative
Answer:
sjshzhshshdhdgdgdhdhdgshshshshshwywhwhw
A rectangle is drawn so the width is 6 inches longer than the height. If the rectangle's diagonal measurement is 27 inches, find the height.
Give your answer rounded to 1 decimal place.
Answer:
height = 3
Step-by-step explanation:
x(x+6) = 27
x^2 + 6x - 27 = 0
(x+9)(x-3) = 0
x = 3
What is the solution to the system of equations graphed below?
Answer:
D
Step-by-step explanation:
The 2 lines intersect at (1, 5)
Answer:
D
Step-by-step explanation:
the line intersects at 1（x-axis）and 5（y-axis）
For P = {5, 12, 13, 14), Q = {2, 7, 11), and R = {4, 7, 8, 11}, find PU (Q n R).
Answer:
(5 7 11 12 13 14)
Step-by-step explanation:
Q inter R = 7 and 11
So the union between p and 7 and 11 is the answer above
If it takes Ohenhen 10km to pass to Emma and it takes Emma 8km to pass to Omusi and considering Ohenhen & Omusi are at perpendicular ends from Emma. What's the distance between Ohenhen and Omusi?
Answer:
12.81 km
Step-by-step explanation:
Pythagoras formula for right-angled triangles.
this scenario just says that Emma is the corner point of that triangle with an angle of 90 degrees.
the distance between Ohenhen and Omusi is the baseline (Hypotenuse c) of that triangle. and the distances to Emma are the sides a and b.
so the formula is
c² = a² + b² = 10² + 8² = 100 + 64 = 164
[tex]c = \sqrt{164} [/tex]
c ≈ 12.81 km (rounded to the nearest hundredth).
Round 1001 to the nearest thousand.
1000 is the correct answer !
I need help solving this problem. Thanks
Answer:
Step-by-step explanation:
they say by noon 4 inches of rain has fallen, then the say that it's falling at 1/4 inch per hour
f(x) = 1/4x +4
where x is in hours, and f(x) represents the linear graph of the amount of rain that has fallen after noon :)
so by 2:30 or 2.5 hours.... then
f(2.5) = 1/4x +4
y = 1/4 (2.5) +4 ( i moved to the y b/c now there is an answer)
y =[tex]\frac{5}{8}[/tex] + 4
y =4[tex]\frac{5}{8}[/tex] inches of rain
Answer:
a) y = 1/4x + 4
b) 4.625 inches
Step-by-step explanation:
a) y(0) = 4 inches
slope = 1/4 rate
y = 1/4x + 4
b) 12:00pm (noon) to 2:30pm = 2 hours 30 mins = 2.5 hours
y = 1/4x + 4
y = (1/4)(2.5) + 4
y = 0.625 + 4
y = 4.625 inches
Write 0.851 as a fraction in simplest form.
Answer:
[tex]\frac{851}{1000}[/tex]
Step-by-step explanation:
First, we can simply multiply that number by 1000, and divide again by 1000 to get a base fraction:
[tex].851\\\\= \frac{1000}{1000} \times .851\\\\= \frac{1000 \times .851}{1000}\\\\= \frac{851}{1000}[/tex]
851 is a secondary prime, having only two factors, both of which are prime. Those factors are 23 and 37, neither of which is a factor of 1000, so this is already in simplest form.
What is the inverse of function f? f(x)=3-x/7
Answer:
[tex] {f}^{ - 1} (x) = \frac{x}{3} + \frac{7}{3} [/tex]
hence option d is the correct option.
Answer:
Option C is answer.
Step-by-step explanation:
Hey there!
Given;
f(x) = (3-x) /7
Let f(x) be "y".
y = (3-x) /7
Interchanging "x" and "y".
x = (3-y)/7
7x = 3-y
y = 3-7x
Therefore, f'(x) = 3-7x.
Hope it helps!
The following data were collected from a simple random sample from an infinite population.
13 15 14 16 12
The point estimate of the population standard deviation is _____.
Answer:
15
Step-by-step explanation:
