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.
What is the factored form of the polynomial? z2 − 10z + 25
Answer:
(z−5)(z−5)
Step-by-step explanation:
Let's factor z2−10z+25
z2−10z+25
The middle number is -10 and the last number is 25.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -10
Multiply together to get 25
Can you think of the two numbers?
Try -5 and -5:
-5+-5 = -10
-5*-5 = 25
Fill in the blanks in
(z+_)(z+_)
with -5 and -5 to get...
(z-5)(z-5)
Answer: (Z - 5) (Z - 5)
Step-by-step explanation: Just confirming what the other person wrote :)
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
3( 2x + 1 ) = 15 you have to find x
Answer:
x = 2
Step-by-step explanation:
3(2x+1) = 15
6x +3 = 15
6x = 12
x - 2
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]
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
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
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
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
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
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%
Can someone pls help me
Answer:
a. 12 / 50 = 0.24 or 24%; b. 21 / 50 = 0.42 or 42%
Step-by-step explanation:
1. to find the estimated probability that it will take at least 5 patients to find who it isn't effective on, count the outcomes of EEEE. this means that it was effective on 4 patients, therefore requiring a 5th patient to find the noneffective person.
a. 12 / 50 = 0.24 or 24%
2. to find the estimated probability that it will be effective on exactly 3/4, look for boxes with 3 E's and 1 N (in any order)
b. 21 / 50 = 0.42 or 42%
hope this helps :)
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:
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
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:
Please help meeee I need help finding x y and z :)
Answer:
Hey there!
We see that z is equal to 40, because angles in a triangle add to 180 degrees.
We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.
We see that y is equal to 110, because x+y needs to equal 180.
Hope this helps :)
Answer:
∠x = 70º, ∠y = 110º, ∠z = 40º
Step-by-step explanation:
to find ∠z: 180 - (71 + 69) = 40º = ∠z
the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.
so 180 - ∠z = 2 x ∠x
180 - 40 = 140 / 2 = 70º = ∠x
the angle to the left of ∠x forms 180º with ∠y.
as that angle is 70º, ∠y = 180 - 70 = 110º
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
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?
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 :)
Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answer:
Magnitude = 95.29 pounds
Direction = 79.54 degrees
Step-by-step explanation:
Resolve forces into x and y components.
x-component
= 100 cos(50) + 50 cos(160)
= 64.28-46.98
= 17.29
y-component
= 100 sin(50) + 50 sin(160)
= 76.60 + 17.10
= 93.71
Magnitude
= sqrt(x^2+y^2)
= sqrt(17.29^2+93.71^2)
= 95.29
Angle = arctangent(93.71/17.29) = 79.54 degrees
blme branly for nt alloing peole to coment n stuf for m taing u a qestion but the anser above is inorrect, and bainly befre deletng ths maye you will cosider openig cat again, so I on't nee to do tis? and mae ure to deete the queston abve wile at it.
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]
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
.. ..
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
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:
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.
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
I need help i will mark brainliest please
Answer:
1) true
2) false
hope it worked
and pls mark me as BRAINLIEST
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°
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]
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