Answer:
The answer is 3.
Step-by-step explanation:
This is because f(-3) = -(-3) = 3.
can you find values of x and y
Answer:
For the second figure
X=10
Y=30
Step-by-step explanation:
3x=(5x-20).... Alternative interior angles
3x=5x-20
20=5x-3x
20=2x
x=10
2y+4y= 180
6y=180
Y=30
Eight people are going for a ride in a boat that seats eight people. One person will drive, and only three of the remaining people are willing to ride in the two bow seats. How many seating arrangements are possible?
Answer:
720 seating arrangments
Step-by-step explanation:
There are eight people but driver is always the same so we only have to deal with combinations of the other 7 seats.
the combination of the five seats has 5! times 2 combinations for each of the 3 passengers willing to ride in the two boat seats thus the total number of different seating arrangements is 5! times 3! or 720
hope this helps :)
Using the Fundamental Counting Theorem, it is found that there are 5760 possible seating arrangements.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the driver, there are 8 outcomes, hence [tex]n_1 = 8[/tex].For the bow seats, there are [tex]n_2 = 3 \times 2 = 6[/tex] outcomes.For the other 5 seats, there are [tex]n_3 = 5![/tex] possible outcomes.Hence:
[tex]N = 8 \times 6 \times 5! = 5760[/tex]
There are 5760 possible seating arrangements.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs. 200, 130, 400, 500, 345 Group of answer choices
Answer:
17,960
Step-by-step explanation:
Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.
First of all, we will find the mean of the given data.
[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]
Or
Mean = (200+130+400+500+345)/5
Mean = 1575/5 = 315.
Second step is to subtract the mean from each book cost;
(200-315) + (130-315) + (400-315) + (500-315) + (345-315)
(-115)+(-185)+85+185+30
Next you square the above deviation;
[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]
Then, divide the above by the average which is 5 in this case.
[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]
Hence, the value of the variance is 17,960.
Please answer it in two minutes
Answer:
36.33
Step-by-step explanation:
The given figure is pentagon
The sum of angles of polygon is (2n-4)*90 where n is number of sides of polygon
for pentagon number of sides is 5
thus, n = 5
\
sum of angles of pentagon = (2*5-4)*90 = 6*90 = 540
Given angles of pentagon
t, 149 , t+144, 3t -11 , t+40
Thus, sum of all these angles should be equal to 540
t + 149 + t+144 + 3t -11 + t+40 = 540
=> 6t + 322 = 540
=> 6t = 540 - 322 = 218
=> t = 218/6 = 36.33
Thus, t = 36.33
The linear function f (x) and g(x) are represented on the graph where g(x) is a tranfomation of f(x) I need help with part A part B and Part C
Answer:
see below
Step-by-step explanation:
Part A
We can shift f(x) to the left or we can shift f(x) up to make it become g(x)
Part B
y = f(x + k) k > 0 moves it left
Using the point ( 2,8) for f(x) and ( 0,8) for g(x)
k is 2 units
g(x) = f(x+2)
y = f(x) + k k > 0 moves it up
Using the point ( 0,-2) for f(x) and ( 0,8) for g(x)
The difference between -2 and 8 is 10
k = 10
g(x) = f(x) + 10
Part C
for the shift to the left g(x) = f(x+2)
for the shift up g(x) = f(x) + 10
I need help i will mark brainliest please
Answer:
1) true
2) false
hope it worked
and pls mark me as BRAINLIEST
A container weighs 78.1 kg when it is filled with some cement. The same container weighs 25.5 kg when it is filled with some sand. The mass of the cement is 5 times as heavy as the mass of the sand. Find the mass of the container
Container + cement = 78.1
Container + sand = 25.5
Difference( cement - sand) = 78.1 -25.5 = 52.6
4 x Sand = 52.6
Sand = 52.6/4 = 13.15
Container = 25.5 - 13.15 = 12.35 kg
a map is drawn to a scale of 1 cm to 250 cm.
(a) an airport has an area of 240 cm² on the map. find its actual area in km².
Answer:
0.0015 km².
Step-by-step explanation:
It is given that a map is drawn to a scale of 1 cm to 250 cm.
[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]
[tex]1\ cm^2=62500\ cm^2[/tex]
It is given that an airport has an area of 240 cm² on the map. So, its actual area is
[tex]Area=240\times 62500\ cm^2[/tex]
[tex]Area=15000000\ cm^2[/tex]
[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]
[tex]Area=0.0015\ cm^2[/tex] [tex][\because 1\ km^2=10000000000\ cm^2][/tex]
Therefore, the area of airport is 0.0015 km².
HURRY I NEED IT NOW!!! What is the solution to this system of equations? x + 2 y = 4. 2 x minus 2 y = 5. (3, Negative 5 and one-half) (3, one-half) no solution infinitely many solutions
Answer:
(3, 1/2)
Step-by-step explanation:
set the equation up
x+2y=4
2x-2y=5
then solve
The correct option is B.[tex](3,\frac{1}{2})[/tex]
Given equations,
[tex]x+2y=4.....(1)\\2x-2y=5.....(2)[/tex]
The standard form for linear equations in two variables is [tex]Ax+By=C[/tex].
On comparing equation 1 and equation 2 with the standard form we get,
[tex]a_{1}=1, b_{1}=2, c_{1}=4\\a_{2}=2, b_{2}=-2,c_{2}=5[/tex]
Here,
[tex]\frac{a_{1} }{a_{2} } =\frac{1}{2} \\[/tex] and [tex]\frac{b_{1} }{b_{2} } =\frac{2}{-2} =-1[/tex]
Since [tex]\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }[/tex], So the given system of equation has a unique solution.
Now Adding equation 1 and 2 we get,
[tex]3x=9\\x=3[/tex]
putting the value of x in equation 1 we get,
[tex]3+2y=4\\2y=1\\y=\frac{1}{2}[/tex].
Hence the required solution of equation is [tex](3,\frac{1}{2})[/tex]. the correct option is B.[tex](3,\frac{1}{2})[/tex]
For more details follow the link:
https://brainly.com/question/11897796
Select the correct answer. Write (21 − 4i) − (16 + 7i) + 28i as a complex number in standard form. A. 5 + 39i B. 5 + 17i C. 5 − 39i D. 5 − 17i
Answer:
b. 5 + 17i
Step-by-step explanation:
this is 69 points if you answer please help
Answer:
see below
Step-by-step explanation:
Angle C is equal to the 1/2 the difference of the two arcs
C = 1/2 ( large DC - small DC)
Large DC = ( 360 - 5x - 2) sum of a circle is 360 degrees
Small DC = 5x-2 the central angle is equal to the intercepted arc
C = 1/2 ( 360 - 5x-2 - ( 5x -2)) Angle Formed by Two Intersecting Chords
C = 1/2 ( 360 - 2 ( 5x-2))
Distributing the 1/2
C = 180 - (5x-2)
Replacing the C with 2x+7
2x+7 = 180 - (5x-2)
Add 5x-2 to each side
2x+7 +5x-2 = 180
Antonio is correct
Combine like terms
7x +5 = 180
7x = 175
Divide by 7
x =25
Then solve for A = 5x-2
A = 5*25-2
= 125-2
= 123
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B
Step-by-step explanation:
The domain of a function is every x-value, and the range is every y-value.
Hope it helps <3
Answer:
B
Domain: (-∞,∞)
Range: (-∞,5]
Step-by-step explanation:
The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.
The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!
Hope this helped and good luck :)
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Please answer ASAP 15 points for this one
solve the simultaneous equation
y=x+3
y=7x+1
I'll mark you BRAINLIEST
Answer:
x = 1/3 , y = 10/3
Step-by-step explanation:
Solve the following system:
{y = x + 3 | (equation 1)
y = 7 x + 1 | (equation 2)
Express the system in standard form:
{-x + y = 3 | (equation 1)
-(7 x) + y = 1 | (equation 2)
Swap equation 1 with equation 2:
{-(7 x) + y = 1 | (equation 1)
-x + y = 3 | (equation 2)
Subtract 1/7 × (equation 1) from equation 2:
{-(7 x) + y = 1 | (equation 1)
0 x+(6 y)/7 = 20/7 | (equation 2)
Multiply equation 2 by 7/2:
{-(7 x) + y = 1 | (equation 1)
0 x+3 y = 10 | (equation 2)
Divide equation 2 by 3:
{-(7 x) + y = 1 | (equation 1)
0 x+y = 10/3 | (equation 2)
Subtract equation 2 from equation 1:
{-(7 x)+0 y = -7/3 | (equation 1)
0 x+y = 10/3 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 1/3 | (equation 1)
0 x+y = 10/3 | (equation 2)
Collect results:
Answer: {x = 1/3 , y = 10/3
Answer:
[tex]\boxed{x=\frac{1}{3} }[/tex]
[tex]\boxed{y=\frac{10}{3} }[/tex]
Step-by-step explanation:
[tex]y=x+3\\y=7x+1[/tex]
Plug y as x+3 in the second equation.
[tex]x+3=7x+1\\7x-x=3-1\\6x=2\\x=\frac{1}{3}[/tex]
Plug x as 1/3 in the second equation.
[tex]y=7(\frac{1}{3} )+1\\y=\frac{7}{3}+1\\y=\frac{10}{3}[/tex]
Nora bought a car last year so that she could drive to work after school. She spent $250 last year for gas. This year she spent $295. Disregarding other factors, what is the inflation rate? 18% 19% 20% 21%
Answer:
here,
money spent in 1st year =$250
money spent in 2nd year=$295
total inflated amount=$295- $250
=$45
Then,
inflation rate= ($45/ $250)×100%
=18%
What is the answer to 99,200 + 10(18/2)?
Answer:
99,290
Step-by-step explanation:
99,200 + 10(18/2)
= 99,200 + 10(9)
= 99,200 + 90
= 99,290
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
Ozzie's Mother bought an assortment of greeting cards while she was at the bookstore. She bought twice as many birthday cards as anniversary cards. She bought 2 fewer anniversary cards than general greetings cards, but 2 more anniversary cards than get well cards. If she bought 2 get well cards, how many cards did she buy in all?
Brainlist
Answer:
20
Step-by-step explanation:
2 get well cards
4 anniversary cards
6 greeting cards
8 birthday cards
if the denominator of a fraction is multiplied by 2,the value of the fraction is
Answer:
Half of its original
Step-by-step explanation:
When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.
Examples:
In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2
In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.
Hope this helps
Good luck
pls say me the 12th qns
Answer:
Step-by-step explanation:
12) p & q are parallel lines , n is transversal
4z = 108 { corresponding angles are congruent}
Divide both sides by 4
z = 108/4
z = 27°
n & m are parallel lines , p is transversal
3y = 4z { corresponding angles are congruent}
3y = 4 * 27
y = [tex]\frac{4*27}{3}[/tex]
y = 4*9
y = 36°
n & l are parallel lines, q is transversal
6x = 108 { corresponding angles are congruent}
x = 108/6
x = 18°
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please
Answer:
its a! sorry im so late
Step-by-step explanation:
ASAP!!! THIS WORTH 50 POINTS!
Answer:
90 16-oz cases and 30 20-oz cases will maximize resin and time use120 16-oz cases will maximize profitStep-by-step explanation:
Let x represent the number of cases of 16-oz cups produced.
Let y represent the number of cases of 20-oz cups produced.
The limitation imposed by available production time is ...
x + y ≤ 15·8 = 120 . . . . maximum number of cases produced in a day
The limitation imposed by raw material is ...
14x +18y ≤ 1800 . . . . . maximum amount of resin used in a day
__
The point of intersection of the boundary lines for these inequalities can be found using substitution:
14(120- y)+18y = 1800
4y = 120 . . . . . subtract 1680, simplify
y = 30
x = 120 -30 = 90
This solution represents the point at which production will make maximal use of available resources. It is one boundary point of the "feasible region" of the solution space.
__
The feasible region for the solution is the doubly-shaded area on the graph of these inequalities. It has vertices at ...
(x, y) = (0, 100), (90, 30), (120, 0)
The profit for each of these mixes of product is ...
(0, 100): 25·0 +20·100 = 2000
(90, 30): 25·90 +20·30 = 2850 . . . . uses all available resources
(120, 0): 25·120 +20·0 = 3000 . . . . maximum possible profit
The family can maximize their profit by producing only 16-oz cups at 120 cases per day.
Answer:
90 16-oz cases and 30 20-oz cases will maximize resin and time use
120 16-oz cases will maximize profit
Step-by-step explanation:
The value of a car decreases by 1/6 every year. What type of function represents this patten
Answer:
Exponential decay
Step-by-step explanation:
the answer is not linear decrease cause the price doesn't decrease the same every year
.. ..
Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?
Answer:
B. 10.5Step-by-step explanation:
If BD║CE then ΔADB and ΔAEC a similar triangles
so:
[tex]\frac{AE}{AD}=\frac{AC}{AB}\\\\\frac{AE}{7}=\frac{6}{4}\\\\AE=\frac32\cdot7\\\\AE=\frac{21}2\\\\AE=10.5[/tex]
Help me pls, it’s for right now
Answer:
c
Step-by-step explanation:
Please help ASAP. Determine an equation of a quadratic function with the characteristics of its graph. Coordinates of the vertex: V(5,4) ; y intercept 79
Answer: y = 3(x - 5)² + 4
Step-by-step explanation:
Use the Vertex form: y = a(x - h)² + k to find the a-value
Given: (x, y) =(0, 79) and (h, k) = (5, 4)
79 = a(0 - 5)² + 4
79 = 25a + 4
75 = 25a
3 = a
Input a = 3 and (h, k) = (5, 4) into the Vertex form:
y = 3(x - 5)² + 4
A system of linear equations is shown on the graph. The equation of one of the lines is y = 1/2x + 4
Answer:
[tex] y = 3x - 1 [/tex]
Step-by-step Explanation:
From the graph given, let's label the lines as line A and line B. As indicated in the attachment below.
The equation of a line is given as y = mx + b
Where, m is the slope, which is:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
b is the y-intercept. It is the point at which the line crosses or intercepts the y-axis. At this point, x = 0.
Having known this, let's figure out which of the lines has the equation, y = ½x + 4
From the equation given, it means the line's m = ½, and it's y-intercept (b), where the line intercepts the y-axis = 4.
Taking a look at line A and B that we've labelled in the attachment below, line A intercepts the y-axis at 4. This means value of b for line A = 4.
If we calculate the slope (m) for line A using the points labelled in the attachment below, we would arrive at ½ as the slope (m) of line A.
Therefore, the equation y = ½x + 4 is for line A.
Let's find the equation for line B.
=>Find the slope (m) of line B using any 2 coordinate pairs of line B.
We're using the 2 coordinates points, (0, -1), (-1, -4) as indicated in the attachment below.
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] m = \frac{-4 - (-1)}{-1 - 0} [/tex]
[tex] m = \frac{-4 + 1)}{-1} [/tex]
[tex] m = \frac{-3)}{-1} [/tex]
[tex] m = 3 [/tex]
Line B intercepts the y-axis at -1. Therefore, the y-intercept (b) for line B = -1
The equation for line B would be:
[tex] y = 3x - 1 [/tex]
4x-5 - 2x-1
___ ____
2 6
Reduce the following expression into a single fraction.
Answer:
[tex]\frac{5x - 8}{3}[/tex]
Step-by-step explanation:
Find the LCM of the denominators and then solve:
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\[/tex]
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}[/tex]
HELP ME PLEASSSSEE On a winter morning, the temperature before sunrise was -10℉. The temperature then rose by 1℉ each hour for 7 hours before dropping by 2℉ each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 10 hours?
Answer:
3 degrees F
Step-by-step explanation:
if the temperature rose 1* for 7 hours, times 1 by 7. which is 7 and add to -10. which is -3. then, since the temperature rose by 2* for 3 hours, times 2 by 3 which is 6 and add to -3, which is 3.
i hope this helped?
Jane’s mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m.
Answer
5.85
Step-by-step explanation:
$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5
$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35
So 4.5 + 1.35 = 5.85
Answer:
Step-by-step explanation:
Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075
Cost of the conference call after 8 pm = 0.15 * 0.03 = $ 0. 045
Cost of the conference call from 7pm to 8pm that last 60 minutes= 0.075 * 60
= $ 4.50
Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35
Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85