Answer:
x=20 seats, y=29 seats
Step-by-step explanation:
y-x=9 y=9+x
2x+y=69 solve by substitution
2x+9+x=69
3x=69-9 3x=60
x=60/3=20 (small van)
y=9+x
y=29 (large van)
Answer : 20 in small , 29 in big as big van has 9 small van
Evaluate the function from the graph! PLEASE I NEED HELP!!
Hey there! I'm happy to help!
When it says f(1), that simply means to look for the x-coordinate 1 and then see what y-value of the function.
If we go to the x-value of 1 and look up a bit, we see where the function is at 1, it is at the y-value of 1!
Therefore, f(1)=1.
Using this, we can see that f(7) is 5, f(0)=2, etc.
Have a wonderful day!
help me plz its math and if u help i will give brainlest
Answer: the correct answer is 40
Step-by-step explanation:
All angles in a triangle equal 180.
180-100=80
the question says the other two angles are equal. So we will divide by 2
80/2=40
what is the explicit formula for this sequence ?
Answer:
B
Step-by-step explanation:
common difference is 3
explicit formula is
first term + ( n-1 ) * common difference
= -7 + ( n-1) * 3
Could someone give a quick response to the second question? i'd appreciate it.
Given that €1 = £0.75
a. How much is €530 in £?
b. What is the £ to € exchange rate?
Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.
Answer:
Hey I know!
1.10 euro
Answer:
397.5 :)
Step-by-step explanation:
Which one of the following would most likely have a positive linear correlation coefficient?
A. temperature of a refrigerator compared to the number of items inside of it
B. amount of money spent on baby food as a child ages
C. length of a driveway compared to number of cars owned
D. distance driven in a car compared to the hours spent driving
Answer:
D
Step-by-step explanation:
In this question, we are to select which of the options best answer the question.
What we are dealing with in the question is the coefficient of correlation. We want a correlation. coefficient that is positively linear.
Correlation talks about the extent of agreement between the data points involved.
So basically, what we want here are the two terms that are mostly related to one another.
A has no relationship between the two quantities. There is actually no relationship between a refrigerator’s temperature and the number of items in the refrigerator.
B , all things being equal, when a child ages , the amount spent of baby food decreases.
This shows a kind of negative correlation between the two terms
C basically has no relationship between the term/. The number of cars owners does not dictate the length of the driveway.
D. Yes, we have a positive linear relationship here. The longer you drive, the longer the distance covered.
DONT EXPLAIN just help me with the answer pleaseeee !
Answer:
A.928.20 is the answers..
Find the least number which must be subtracted from the following numbers to make it a perfect square i) 2361 ii) 26535 iii)16160 iv) 4401624
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year
a) using standard function notation , next = nowx1.06, starting at 1,000,000 use p to denote current population, r for the rate of population growth, and t for the number of years explain answer
b)is the function you wrote in the previous task recursive or non recursive?
c)compare the benefits of representing a situation using a recursive function versus using a regular function
Answer:
a) [tex]1,000,000 \times (1.06)^{t}[/tex]
b) The function is recursive
c) The benefits includes;
1) Simplification of information
2) Faster data access
3) Lesser storage requirement
4) Good for forecasting
5) Simplifies information analysis.
Step-by-step explanation:
The given information are;
The current population = 1,000,000
The rate of increase of the population = 6%
a) With the standard function notation is [tex]P_f[/tex] = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]
Where;
[tex]P_f[/tex] = Future population
[tex]P_p[/tex] = Present population
r = Rate of population increase
t = The number of years
Therefore, we have;
[tex]P_f[/tex] = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]
The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t
b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population
c) The benefits includes;
1) Simplification of the relationship of a given data with time
2) Provides a more faster way to access data that is recursive than using complex regular function with more variables
3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function
4) Provides improved forecasting
5) Enables detailed information analysis.
pleaz!!! some body help with number #4 at the bottom
Answer:
See my explanation
Step-by-step explanation:
-2x + (x - 4) = 18
-x - 4 = 18
-x = 22 <- this is wrong in question writing as x = 22
so, x = -22
Reiko drove from point A to point B at a constant speed, and then returned to A along the same route at a different constant speed. Did Reiko travel from A to B at a speed greater than 40 miles per hour?
(1) Reiko's average speed for the entire round trip, excluding the time spent at point B, was 80 miles per hour.
(2) It took Reiko 20 more minutes to drive from A to B than to make the return trip.
Answer:
no
Step-by-step explanation:
it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back
Answer:
Yes.
Step-by-step explanation:
Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.
Hope this helps!
How do the areas of triangle ABC and DEF compare? The area of △ABC is 1 square unit less than the area of △DEF. The area of △ABC is equal to the area of △DEF. The area of △ABC is 1 square unit greater than the area of △DEF. The area of △ABC is 2 square units greater than the area of △DEF.
Answer:
The area of △ABC is equal to the area of △DEF
Step-by-step explanation:
On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).
How do the areas of triangle ABC and DEF compare? The area of △ABC is 1 square unit less than the area of △DEF. The area of △ABC is equal to the area of △DEF. The area of △ABC is 1 square unit greater than the area of △DEF. The area of △ABC is 2 square units greater than the area of △DEF.
Answer: The length of the sides of the triangle ABC are given below:
[tex]AB=\sqrt{(7-4)^2+(2-2)^2} =3\ unit\\\\BC=\sqrt{(4-7)^2+(6-2)^2} =5\ unit\\\\AC=\sqrt{(4-4)^2+(6-2)^2} =4\ unit[/tex]
The area of triangle ABC is given as:
Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 unit²
The length of the sides of the triangle DEF are given below:
[tex]DE=\sqrt{(4-(-2))^2+(-3-(-1))^2} =\sqrt{40} \ unit\\\\EF=\sqrt{(4-2)^2+(-1-(-3))^2} =2 \ unit\\\\DF=\sqrt{(4-(-2))^2+(-1-(-1))^2} =6 \ unit[/tex]
The area of triangle DEF is given as:
Area = 1/2 × base × height = 1/2 × 2 × 6 = 6 unit²
The area of triangle ABC is equal to 6 unit² and the area of triangle DEF is equal to 6 unit² , therefore The area of △ABC is equal to the area of △DEF
Answer:
b
Step-by-step explanation:
edge exam
Look at photo please don't understand
Does anyone understand this
Please answer quickly!
Answer:
a) 18.6%
b) 598,230
Step-by-step explanation:
a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...
percentage difference = (difference)/(original value) × 100%
The difference of interest is the difference between the 2011 population and the 2001 population
difference = 510,000 -430,000 = 80,000
The original value is the 2001 population, so the percentage difference is ...
percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%
This is a positive value, so represents an increase.
The percentage increase in population from 2001 to 2011 was 18.6%.
__
b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:
difference = (percentage difference)/100% × original value
Then the difference between the 2021 population and the 2011 population will be ...
difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230
So, the population in 2021 is expected to be 88,230 more than in 2011:
2021 population = 520,000 +88,230 = 598,230
The predicted population in 2021 is 592,230.
HELP ASAP THANK YOU!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
If (x + h) is a factor of f(x) then remainder is zero and x = - h is a root
Since division of 2x² + 2x + 9 by (x + 3) is zero , then
(x + 3) is a factor and x = - 3 is a root of the polynomial → C
URGENT!!!!!!
Identify the sequence graphed below and the average rate of change from n = 0 to n = 3 . (2, 10) (3, 5) (4, 2.5) (5, 1.25)
A) a_n=8(1/2)^(n-2); average rate of change is -3
B) a_n=10(1/2)^(n-2); average rate of change is -(35/3)
C) a_n=8(1/2); average rate of change is 3
D) a_n=10(1/2)^(n-2); average rate of change is 35/3
Answer: Choice B
a_n = 10(1/2)^(n-2) is the nth term
average rate of change = -35/3
=======================================================
Explanation:
Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.
If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.
Use the slope formula to find the slope of the line through (0,40) and (3,5)
m = (y2-y1)/(x2-x1)
m = (5-40)/(3-0)
m = -35/3
The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3
The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.
In other words, 20(1/2)^(n-1) is equivalent to 10(1/2)^(n-2) when n starts at n = 1.
Solve the inequality
V/3+12>7
Answer:
V > -15
Step-by-step explanation:
[tex]\frac{V}{3} +12>7\\\\\frac{V}{3}>-5\\\\V>-15[/tex]
Answer:
V > -15
Step-by-step explanation:
V/3 + 12 > 7
V/3 > -5
V > -15
4x-5 /6- 2x-1 /6 = 2/3
Answer:
x = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
4x - [tex]\frac{5}{6}[/tex] - 2x - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Multiply through by 6 to clear the fractions
24x - 5 - 12x - 1 = 4
12x - 6 = 4 ( add 6 to both sides )
12x = 10 ( divide both sides by 12 )
x = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
Of the books in the Hogwarts Library, 1/4 came from Hermione and 8 came from Luna. Of the rest, 14 were Ron’s, 1/2 were Ginny’s. How many books are there in the library?
Will mark brainlist
Answer:
88
Step-by-step explanation:
The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.
So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].
How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answer:
work is shown and pictured
is the folllowing shape a square? how do you know
Answer:If it has 4 equal sides
If the angles are 90°
Hope this may helps you
Answer:
A square is characterized by
4 equal sides.Each angle measures 90°Diagonals meet and bisect each other at 90°Opposite sides are parallel and equal.Diagonals are equal.Hope this helps ;) ❤❤❤
Which number line represents the solution set for the inequality
3(8-4x)<6(x-5)?
Answer:
B. x > 3
Step-by-step explanation:
Well we first simplify the following inequality,
3(8 - 4x) < 6(x - 5)
Distribute
24 - 12x < 6x - 30
Communicative property
-6x
24 - 18x < -30
-24
-18x < -54
Divide -18x by both sides
Which flips the < to a >.
x > 3
Thus,
the answer is B. x > 3.
Hope this helps :)
Given that the quadrilateral is a trapezoid, XW ≅ YZ and m∠Z = 44° , what is m∠X?
Answer:
angle X = 136 degrees
Step-by-step explanation:
Given XYZW is a trapezoid means XY || WZ.
Given XW ≅ YZ means that base angles are equal
=>
XWZ = YZW = 44
Since interior angles between parallel lines are supplementary,
angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees
Answer:
Angle X =136 degrees
Step-by-step explanation:
f(x) =
- 6x5 + 4x3
Which characteristic is correct for the function
Complete question:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
Which characteristic is correct for the function
a) odd
b) neither even nor odd
c) both even and odd
d) even
Answer:
a) odd
Step-by-step explanation:
Given the equation:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
To test for even or odd let's perform the following:
F
Replace "x" with "-x"
Thus,
[tex] F(x) = -6x^5 + 4x^3 [/tex]
[tex] = -6(-x)^5 + 4(-x)^3 [/tex]
[tex] = 6x^5 + -4x^3 [/tex]
Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.
Also, the signs changed, the equation is considered to be odd.
I.e f(x) = -f(x)
Correct answer is option (a) odd
Answer:
odd
explanation:
Will ran 1 2/3 laps of a 1/4 mile track. How far, in miles, did Will run on that track?
Answer:
[tex]\boxed{\frac{5}{12} \ miles}[/tex]
Step-by-step explanation:
Will ran = [tex]1 \frac{2}{3} \ of \ a \frac{1}{4} \ miles \ track[/tex]
Will ran = [tex]\frac{5}{3} * \frac{1}{4}[/tex] [of means to multiply]
=> [tex]\frac{5*1}{3*4}[/tex]
=> 5/12 miles
Hep pleaseeeee! Tyyy
Answer:
BD
Step-by-step explanation:
to find the longest segment in a triangle, first find the largest angle and the line opposite to it is the largest segment:
in this case it is angle BCD and the segment opposite is BD
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. How many square meters could he make with 4 cloaks of fabric
Answer:
14 square meters of fabricStep-by-step explanation:
[tex]21\: square\:meters = 6 \:wizard \:cloak\\x\:square\:meters\:\:=4 \:wizard\:cloaks\\\\Cross\:Multiply\\6x = 84\\\frac{6x}{6} =\frac{84}{6} \\\\x = 14 \:square\:meters[/tex]
Answer:
14.0 square meters
Step-by-step explanation:
4.3) Consider the following function. (If an answer does not exist, enter DNE.) f(x) = ln(4 − ln(x)) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x =
Answer: [tex]x=0\text{ and }x=e^4[/tex]
Step-by-step explanation:
The vertical asymptote is at the zero of the argument and at points where the argument approaches to ∞ .Given function: [tex]f(x) = \ln(4 - \ln(x))[/tex]
Since, [tex]\ln 0=\infty[/tex]
Here, if
[tex]f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0[/tex]
Hence, the vertical asymptotes of f(x) are:
[tex]x=0\text{ and }x=e^4[/tex].
Using it's concept, it is found that the vertical asymptotes of the function are: [tex]\mathbf{x = 0, x = e^4}[/tex]
A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.
For the ln function, that is, [tex]\ln{g(x)}[/tex], they are the values of x for which:
[tex]g(x) = 0[/tex]
In this problem, the function is:
[tex]f(x) = \ln{(4 - \ln{(x)})}[/tex]
For the inner function, x = 0 is a vertical asymptote, as [tex]\ln{0}[/tex] is outside the domain.
For the outer function:
[tex]4 - \ln{(x)} = 0[/tex]
[tex]\ln{(x)} = 4[/tex]
[tex]e^{\ln{(x)}} = e^4[/tex]
[tex]x = e^4[/tex]
A similar problem is given at https://brainly.com/question/23535769
Factorise (7x+19)/(x+1)(x+5)
Answer:
[tex] \frac{7x + 19}{ {x}^{2} + 6x + 5 } [/tex]Step-by-step explanation:
[tex] \frac{7x + 19}{(x + 1)(x + 5)} [/tex]
Multiply each term in the first parentheses by each term in second parentheses ( FOIL)
[tex] \frac{7x + 19}{x(x + 5) + 1(x + 5)} [/tex]
Calculate the product
[tex] \frac{7x + 19}{ {x}^{2} + 5x + x + 5} [/tex]
Collect like terms
[tex] \frac{7x + 9}{ {x}^{2} + 6x + 5 } [/tex]
Hope this helps...
Best regards!!
Find the angle measures given the figure is a rhombus.
Answer:
1 = 90°, 2 = 66°
Step-by-step explanation:
Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.
a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.
a) how many cubic centimeters of water will the tank hold?
b) how many milliliters of water will the tank hold?
c) how many liters of water will the tank hold?
Answer:
a) 60,000 cubic cm
b)600,000 cubic mm
c)60 L
Step-by-step explanation
To find the volume, you would have to multiply the height length and width.
50*40*30 and that equals to 60,000 cm. 10 mm=1cm.
So 60,000*10=b, b=600,000, 1,000 cm=1 L
60,000/1,000=L, L=60
Hope this helps. If it does, please rate 5 stars!
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
Answer:
b=4
Step-by-step explanation:
So, we have the function [tex]f(x)=1/x[/tex]. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8[/tex]
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
[tex]\frac{.5b-1}{2b-b^2} =\frac{-1}{8}[/tex]
Now, cross multiply.
[tex]4b-8=b^2-2b[/tex]
[tex]b^2-6b+8=0[/tex]
Solve for b. Factor using the numbers -4 and -2.
[tex]=(b-4)(b-2)=0[/tex]
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.
We will see that the interval is [2, 4]
-------------------------------
For a function f(x), the average rate of change in the interval [a, b] is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
[tex]f(x) = 1/x[/tex]
And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:
[tex]r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}[/tex]
We can rewrite it to:
[tex]-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b[/tex]
Now we can remove the term (b - 2) because it appears on both sides, so we get:
[tex]-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4[/tex]
Then we found that b must be equal to 4, so the interval is [2, 4]
If you want to learn more, you can read:
https://brainly.com/question/23483858