Answer:
It took 31 days for the patch to cover half the lake
Step-by-step explanation:
The patch grows to double its size everyday
the patch completely covers the lake in 32 days
Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.
Therefore, the the patch covered half the lake on the 31st day, i.e it took 31 days for the patch to cover half the lake
2x2 − 5x + 3 HELPPPPPPPP
Answer:
-x+3
Step-by-step explanation:
2x^2-5x+3 Square 2x
4x-5x+3 combine like terms
-x+3
Hope this helps
Answer:
Factoring answer: (x-1)(2x-3)
Quadratic Formula: x = 3/2, 1
Complete the square: 2(x - 5/4)^2 - 1/8
Find the x and y intercept: X - (1,0), (3/2,0) Y - (0,3)
Hope this helps :)
The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with the vertex 4, 1 What is the value of k?
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (4, 1 ), thus k = 1
What fraction is equal to six-sevenths times eight-fifths?
Answer:
1 13/35 (mixed number) or 48/35 (simplified)
Step-by-step explanation:
6/7 times 8/5
= (6 times 8) / (7 times 5)
= 48/35 or 1 13/35
hope this helped :)
Answer:
48/35
Step-by-step explanation:
6/7*8/5=48/35
solve the systems by the addition method x - 2y = - 4 2x + y = 7
To solve this system of equations by addition, our first goal is to cancel
out one of the variables by adding the two equations together.
However, if we add these two equations together right away, nothing
will cancel so we need to set things up so a variable will cancel.
Notice that we have an 2x in our second equation.
If we had a -2x in our first equation, then the x's would cancel out.
In order to create a -2x in the first equation, we simply
multiply both sides of the first equation by -2.
So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.
Now rewrite both equations, as shown below.
-2x + 4y = 82x + y = 7Now when we add the equations together, the x terms
will cancel out and we're left with 5y = 15.
Dividing both sides by 5, y = 3.
To solve for x, plug a 3 in for y in either one of our 2 original equations.
So let's go with our second equation.
Plugging a 3 in for y, we get 2x + (3) = 7.
Now subtract 4 from both sides to get 2x = 4.
Dividing both sides by 2, we fid that x = 2.
Since x = 2 and y = 3, our answer is the ordered pair (2, 3).
A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10 four-year-old children. Assuming that the children are obtained only from local daycare centers, this researcher should use ____ sampling.` Cluster probability quota simple random stratified random
Answer:
Quota Sampling
Step-by-step explanation:
Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.
In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling. These subgroups would give a proper representation of the preschool children in local daycare centers.
Identifying relationships from diagrams
Answer: <CED is the right angle, which measures 90 degrees. Since the measure of a straight angle is 180 degrees. <CEA must also be 90 degrees by the Definition of Right Angle. A bisector cuts the angle measure in half. m<AEB is 45 degrees.
please help with this, 20p
Answer:
about 325
Step-by-step explanation:
On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.
If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.
A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.
3−2|0.5x+1.5|=2
−2|0.5x+1.5|=−1
|0.5x+1.5|=0.5
0.5x+1.5=0.5
0.5x=−1
x=−2
What is the other solution to the equation?
x=−6
x=−4
x=2
x=4
Answer:
X= -4
X=-2
Step-by-step explanation:
for
|a|=b
assume
a=b and a=-b
so
3-2|0.5x+1.5|=-2
minus 3 both sides
-2|0.5x+1.5|=-1
divide both sides by -2
|0.5x+1.5|=0.5
set negative and postivive
0.5x+1.5=0.5 and 0.5x+1.5=-0.5
solve each
0.5x+1.5=0.5
minus 1.5 both sides
0.5x=-1
times - 2 both sides
x=-2
other
0.5x+1.5=-0.5
minus 1.5 from oth sides
0.5x=-2
times 2 both sides
x=-4
the solutions are x=-2 and x=-4
Answer:
x=-4
Step-by-step explanation:
verify the trigonometric identity: tan(2π - x) = tan(-x)
Answer:
See Below
Step-by-step explanation:
Taking Right Hand Side to verify the identity:
tan ( 2π - x)
Resolving Parenthesis
tan 2π + tan (-x)
We know that tan 2π = 0
0 + tan (-x)
=> tan(-x) = Left Hand Side
Hence Proved
Answer:
[tex]\boxed{ \sf {view \: explanation}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow \sf tan ( 2\pi - x)=tan(-x)[/tex]
[tex]\sf Apply \ distributive \ law.[/tex]
[tex]\Rightarrow \sf tan (2\pi) + tan (-x) =tan(-x)[/tex]
[tex]\sf Apply : tan(2\pi) =0[/tex]
[tex]\Rightarrow \sf 0 + tan (-x) =tan(-x)[/tex]
[tex]\Rightarrow \sf tan (-x) =tan(-x)[/tex]
[tex]\sf Hence \ verified.[/tex]
whats 4x4x5x5x6x5x5x5x5x5x5x5x5x5x5x6x6x6x6x6x6x6
Step-by-step explanation:
Its a simple..
=4^2×5^12×6^8
=16×244140625×1679616
= 6.561×10^15
Hope it helps...
Please answer question now what the answer
Answer:
100 degrees
Step-by-step explanation:
360-260=100
Answer:
x=100
Step-by-step explanation:
130+130+x=360
260+x=360
x=100
Have a great and magnificent day
Calculate the amount of paint needed to cover the following door:
Note: You do not paint the window on the inside.
Answer:
Step-by-step explanation:
The door is shape is a combination of a rectangle and a semicircle with a square window.
Area of the door = Area of rectangle + area of a semi circle
Area of a rectangle = Length * Width (LW)
area of a semicircle = πr²/2 where r is the radius of the semi circle.
Given the length of the rectangle = 2m and its width = 1m
Area of rectangle = 2*1 = 2m²
Given the radius of the semicircle = 1/2 m
Area of the semi circle = π(0.5)²/2
= 0.25π/2
= 0.785/2
Area of the semicircle= 0.3925m²
Area of the door = 2+0.3925
Area of the door = 2.3925m²
Since we are not to paint the window, we will subtract the area of the window from the total area.
Area of the window = area of a square = 0.2*0.2
= 0.04m²
Area to be painted = Area of door - Area of the square
Area to be painted = 2.3925m² - 0.04m²
Area to be painted = 2.3535m²
Note that there was no enough information for us to calculate the amount of paint needed but knowing the area of the part to be painted can guide us.
27 An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circumference of the back wheel. Thomas biked for a while and, according to his equipment, the front wheel went all the way around 500 times and the smaller wheel went all the way around 1400 times. How far, in feet, did Thomas bike?
Answer:
Half ans is in pic...
now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".
we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.
after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.
The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.
The amount covered by the large one in 500 cycles, is 500(2πr + 9).
And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
Refer to the pic for rest...
Hope it helped
Mark BRAINLIEST!
What is the midpoint of the segment shown below? (3, 7) (2, -1)
Answer:
( 2.5 , 3 )Step-by-step explanation:
Let the points be A and B
A ( 3 , 7 ) --------> (x1 , y1 )
B ( 2 , -1 ) --------> ( x2 , y2 )
Finding the midpoint:
[tex]( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex] = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )[/tex]
[tex] = ( \frac{5}{2} , \: \frac{7 - 1}{2} )[/tex]
[tex] = ( \frac{5}{2} ,\: \frac{6}{2} )[/tex]
[tex] = (2.5 ,\: 3)[/tex]
Hope this helps...
Good luck on your assignment ....
Answer:
(2,-1)
Step-by-step explanation:
Welol to find the line of (3,7) and (2,-1) we need to use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So -1 is y2 7 is y1 so -1 - 7 = -8
2-3 = -1
Hence, the slope of the line is 8.
And graphing more points on the graph using the slope we can see the y intercept is -17.
So the equation is y = 8x - 17
And the mid point is at (2, -1)
students enter school in the morning through doors on opposite sides of cafeteria. At Ms. Logrieco's door,35 students enter in the first 10 minutes. At Mr. Riley's door,22 students enter in the first 8 mins. If students continue to arrive at school at the same rate,how many students do you expect to be in the cafeteria after 24 minutes?
Ms. Logrieco's door: 35 students per 10 minutes
Mr. Riley's door: 22 students per 8 minutes
Time Frame: 24 minutes
35 x 2 = 70
35 x 2/5 = 14
70 + 14 = 84
22 x 3 = 66
84 + 66 = 150
Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.
Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left parenthesis, minus, 4, comma, 7, right parenthesis.
Find the coordinates of point BBB on \overline{AC}
AC
start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:12:12, colon, 1.
Answer:
The coordinates of point B are (-2, 2).
Step-by-step explanation:
Given:
Point A (2,−8)
Point C (−4,7)
Point B divides the line AB such that the ratio AB:BC is 2:1.
To find: The coordinates of point B.
Solution:
We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where [tex](x,y)[/tex] is the co-ordinate of the point which
divides the line segment joining the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in the ratio [tex]m:n[/tex].
m = 2
n = 1
As per the given values
[tex]x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7[/tex]
Putting the values in the formula:
[tex]x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2[/tex]
So, the coordinates of point B are (-2, 2).
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph?
Answer:
A: -3
Step-by-step explanation:
I got it right on my quiz!
If equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.
To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.
At the x-intercept, the y-coordinate is zero.
Given the equation of the line as 2x - y = -6.
we can substitute y = 0 since it is the y-coordinate at the x-intercept.
2x - 0 = -6
2x = -6
Divide both sides by 2:
x = -6/2
x = -3
Therefore, the x-intercept of the graph is -3.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
In solving the formula
A = (1/2)bh, in solving for h, you could first multiply both side by 1/2.
True or False
Answer:
False
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by b )
[tex]\frac{2A}{b}[/tex] = h
What is the measure of angle x?
10
20
30
40
Answer:
20
Step-by-step explanation:
Since 30 and 3x are complementary we can write:
30 + 3x = 90
3x = 60 so x = 20°.
Answer:
20
Step-by-step explanation:
30 + 3x = 90
=> 3x = 90 - 30
=> 3x = 60
=> x = 60/3
=> x = 20
pls mark me as brainleist :)
If you bisect an angle that is 128 degrees, what size are the two new angles?
Answer:
64 is the answer
hope you like tjis
stay at home stay safe
Answer:
Each angles measures 64 degrees
Step-by-step explanation:
Bisect means divide in half
128/2 = 64
Each angles measures 64 degrees
What is 23/20 as a mixed number
Solve the equation in the interval from 270° to 810°
Your answer should be in degrees
cos(x)=1
Choose all answers that apply
A. 0°
B.90°
C.360°
D.540°
E. 720°
F.1080°
Answer:
the answer should be C,E please give brainliest
Step-by-step explanation
Answer:
C. 360
E. 720
Step-by-step explanation:
note: 2pi radians = 360 degrees.
Cos(x) = 1 whenever x = 2k pi where k is an integer, thus
This translates to
cos(x) = 1 when x=0, 360, 720, 1080, ... degrees.
Between 270 and 810, the angles that satisfy cos(x) = 1 are
360 and 720.
So choose C and E
The votes for president in a club election were: Smith: 24 Munoz: 32 Park: 20 Find the following ratios and write in simplest form. Votes for Munoz to Smith : Votes for Park to Munoz : Votes for Smith to total votes : Votes for Smith to Munoz to Park
Hey there! I'm happy to help!
VOTES FOR MUNOZ TO SMITH
32:24
We see that both have a common factor of 8, so we can divide both by that.
4:3
This is in simplest form.
VOTES FOR PARK TO MUNOZ
20:32
We see that both have a common factor of 4, so we divide both by that.
5:8
This is completely simplified.
VOTES FOR SMITH TO TOTAL VOTES
24+32+20=76
24:76
We see that both have a common factor of 4, so will divide both by that.
6:19
We cannot simplify any more here.
VOTES FOR SMITH TO MUNOZ TO PARK
24:32:20
We can divide these all by four, so let's do that.
6:8:5
This can't be simplified anymore, so it is in simplest form.
Have a wonderful day! :D
what is a measure ∠x
Answer:
x = 138
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = B+ C
x = 68+ 70
x =138
Answer:
138 degrees
Step-by-step explanation:
A triangle is made up of 180 degrees, it lists 2 values already, 68&70. when added that equals 138.
So 180-138 is 42 degrees, which would be the last angle within the triangle.
Since a line is also 180 degrees, its 180-42, which makes x 138 degrees
plss help me do this
Answer:
x1 = -5
x2 = 3
Step-by-step explanation:
You have the following equation:
[tex]\frac{6}{x}-\frac{4}{5}=\frac{2x}{5}[/tex] (1)
To find the solutions of the equation (1) you first eliminate the denominators of the equation, by multiplying the m.c.m, which is 5x, as follow:
[tex]30-4x=2x^2[/tex]
Next, you write the previous equation in the general form ax^2 +bx+c=0, as follow:
[tex]2x^2+4x-30=0[/tex]
Next, you use the quadratic formula to find the solutions:
[tex]x_{1,2}=\frac{-b\pm \sqrt{b^2-4(a)(c)}}{2a}\\\\a=2;\ \ b=4;\ \ c=-30\\\\x_{1,2}=\frac{-4\pm \sqrt{4^2-4(2)(-30)}}{2(2)}\\\\x_{1,2}=\frac{-4\pm16}{4}\\\\x_1=-5\\\\x_2=3[/tex]
Then, the solutions for the given equation are x1=-5 and x2=3
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
The diagonals of a rhombus are 12cm and 16cm.Find the length of each side.
Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm
step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.
STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.
STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.
Step-by-step explanation:
Answer:
10cm
Step-by-step explanation:
As you can see in the first image is a rhombus with its diagonals 12cm and 16cm
You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.
In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.
Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus
6² + 8² = hypotenuse²
36 + 64 = h²
100 = h²
h = √100
h = 10
All the side of the rhombus are equal so all the sides of the rhombus are 10cm
Are the following angle relationships possible? Explain.
Answer:
no
Step-by-step explanation:
The 5x+30 is the supplementary angle of the interior one:
180 - 5x - 30 = -5x + 150
Then they have to add up to 180:
4x-9 + 2x+3 -5x + 150 = 180
which simplifies to x = 36
So the angles would be 135, 75 and -30, which is impossible!
a store offers a discount of 10% to customers who spend more than $20. If a customer's bill was $80, what will he actually pay?
Answer:
72
Step-by-step explanation:
First find the discount
10% of 80
.10 * 80
8
Subtract this amount from the bill
80 -8 = 72
The customer will pay 72
A big dump truck delivers gravel to a construction site. The dump truck has a rectangular bed that is 3 meters wide and 4 meters long. The truck bed is filled with gravel to a height of 2 meters. What is the volume of gravel in the truck bed?
Answer:
24m^3
Step-by-step explanation:
Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent