Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
Answer:
205 × [tex]10^{-9}[/tex]
Step-by-step explanation:
[tex]10^{-9} = 0.000000001[/tex]
0.000000001 × 205 = 0.000000205
Solve for x h(x)=−7x ; h(x)=63
Answer:
x = -9
Step-by-step explanation:
-7x = 63
Divide -7 into both sides.
-7x/-7 = 63/-7
x = 63/-7
x = -9
Put x as -9 in the function to check.
h(x) = -7x
h(-9) = -7(-9)
h(-9) = 63
Answer:
x = -9
Step-by-step explanation:
h(x)=−7x ; h(x)=63
Set the two equal
-7x = 63
Divide by -7
-7x/-7 = 63/-7
x = -9
I need to write the equation of the line in slope intercept form
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1: Find slope
m = (3-1)/(-1+2) = 2
Step 2: Find y-intercept
(0, 5)
Step 3: Write in slope-intercept form
y = mx + b
y = 2x + 5
And we have your answer!
Answer:
y = 2x + 5
Step-by-step explanation:
We can see the point (-1, 3) and the y-intercept (0, 5). Slope intercept form is y = mx+b, where m is the slope and b is the y-intercept. With this, we know that b = 5. We can plug in the point (-1, 3) with -1 as x and 3 as y to find m. Doing so gives us 3 = -1m+5. This simplifies to -1m = -2, and m = 2. We can now plug in m to get the equation y = 2x + 5.
IM SO STUCK ON THIS QUESTION!!!! PLEASE HELP
Answer:
3rd Option
Step-by-step explanation:
In this case, the child graph is being moved horizontally by left 1 unit. The reason it isn't vertical is because it is not outside the absolute value.
The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False
Answer:
true it's A....
Answer:
A
Step-by-step explanation:
64x³ + 125
∛(64x³ + 125)
= 4x + 5
The expression is a sum of cubes.
Why Do i SUCK AT MATH!!!!!!!!!!!!!!!!! :(
Answer:
Math is not a very easy subject and not everyone can master it.All that is needed are focus,dedication and confidence.You should try practicing in your weak areas or seek help to get a better understanding.
Step-by-step explanation:
I really hope this helps :)
yeh what that guy said
NEED ANSWER ASAP In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8
Answer:
Angle 1
Step-by-step explanation:
Angle 3 and angle 1 are vertical angles. That means that whatever the measure of angle 3 is, angle 1 is also the same.
A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes. Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day. a. c. b. d.
Step-by-step explanation:
X= raspberry
X = 600 ÷ 11 = 54 batches
[ 60 minutes = 1 hour]
[600 minutes = 10 hours]
Y = peach
Y = 600 ÷ 8 = 75 batches
Answer:
its b
Step-by-step explanation:
it just is
the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?
Answer:
Selling price of 5 gives the maximum profit
Step-by-step explanation:
What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.
Mathematically, we have;
dp/dx = -120x + 600
We now equate this to zero
0 = -120x + 600
120x = 600
x = 600/120
x = 5
Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radius of 2 cm, what will the height of the cone be?
Answer:
Step-by-step explanation:
We'll call height h.
The equations of a cone and sphere are:
Cones: 1/3 * base area * h
Spheres: 4/3 π * r³
The base area of a cone would be the area of a circle equation:
π * r² = π * 2² = 4π.
Because you're converting from sphere to cone, you would set their equations equal to each other.
1/3 * 4π * h = 4/3 π * 5³
Next, isolate h.
h = (4/3 π * 5³)/(1/3 * 4π)
h = 125
Hope this helps!
Answer:125
Step-by-step explanation:
The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?
Answer:
the answer is -6, 2
Step-by-step explanation:
Answer:
the answer is -6, 2
Step-by-step explanation:
Answer:
ANSWER
x = { - 20}{7}
y={ 4}{7}
Step-by-step explanation:
The interior angle of the regular pentagon below measures 108, and the pentagon has rotational symmetry. Which of the following is the measure of an interior angle after a 90 rotation around the point of symmetry?
Answer:
108
Step-by-step explanation:
The measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
What is pentagon?In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.
according to the question
After rotation the size of the interior angle stays the same.
10[tex]8^{o}[/tex] = 10[tex]8^{o}[/tex]
Hence, the measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
To learn more about regular pentagon from here
https://brainly.in/question/35228968
#SPJ2
Please help ! I don’t understand:((
Answer:
B
Step-by-step explanation:
sorry if im wrong but i used desmos next time its graphing use desmos
Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.
Answer:
29.76 milles
11.16 milles
44.64 milles
Step-by-step explanation:
Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.
El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:
2/3 * 72 = 48 quilòmetres
En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:
1/4 * 72 = 18 quilòmetres
A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.
Hem de convertir cada un d'ells en milles.
1 km = 0.62 milles
El primer dia:
48 km = 0.62 * 48 = 29.76 milles
El segon dia:
18 km = 0.62 * 18 = 11.16 milles
El tercer dia:
72 km = 0.62 * 72 = 44.64 milles
What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.
x2 + y2 + 6x + 4y – 3 = 0
x2 + 6x + y2 + 4y – 3 = 0
(x2 + 6x) + (y2 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?
Answer:
The center of the circle is at the point (-3, -2) on the plane
Step-by-step explanation:
The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:
[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]
Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.
what is the answer of this attachment:
Answer:
(B) 2
Step-by-step explanation:
=> [tex]\frac{\sqrt{32}+ \sqrt{48} }{\sqrt{8}+\sqrt{12} }[/tex]
=> [tex]\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2}+2\sqrt{3} }[/tex]
=> [tex]\frac{4(\sqrt{2}+\sqrt{3}) }{2(\sqrt{2}+\sqrt{3)} }[/tex]
Cancelling [tex]\sqrt{2}+\sqrt{3}[/tex]
=> [tex]\frac{4}{2}[/tex]
=> 2
what is the distance between 3,0 and 6,-13
Answer:
√178
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Simply plug in your coordinates into the distance formula to find the distance between them.
Really need help :( struggling
Answer:
B
Step-by-step explanation:
The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.
What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2
Answer:
y = -1/2x + 2
Step-by-step explanation:
If two lines are perpendicular then the product of their slopes are -1
m1*m2 = -1
where m1 amd m2 is slope of two lines.
_______________________________________
Given line
y = 2x-3\
it is in form of y = mx+c (slope intercept form)
where m is slope and c is y intercept
Thus, slope of line y = 2x-3 is 2
Now we know that product of two lines are -1
let m be slope of other line
then m*2 = -1
m = -1/2
thus, slope of required line is -1/2
let the line be y = mx+c but m = -1/2
thus
y = -1/2 x + c
given that point(-6,5) lies on it
we use -6 in plca of x and 5 in place of y
5 = -1/2 *-6 + c
=>5 = 3 +c
=> c = 5-3 = 2
Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2
Order The numbers from least to greatest
0.453, 0.35, 4/5
Answer:
Step-by-step explanation:
0.35
0.453
4/5
Please help me I've been stuck on this for a bit
Answer:
A=1.5 units²
Step-by-step explanation:
a²+b²=c²
2.5²+1.5²=c²
a²+2.25=6.25
a²=4.00
a=2
A=1/2 x b x h
A=1/2 x 1.5 x 2
A=1.5 units²
Answer:
1.5
Step-by-step explanation:
Use the pythagorean theorem. a^2+b^2=c^2. a and b are the legs, or the shorter sides of the triangle. If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case. So c is 2.5 and a is 1.5. Now you plug the values into the equation
1.5^2+b^2=2.5^2
2.25+b^2= 6.25 .Simplify the equation
b^2= 4 .Subtract 2.25 from both sides.
b= 2. Square root both sides.
Based on the picture, a is the base and b is the height. The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again
1/2(1.5*2)= 1/2(3)= 1.5
The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?
Answer:
l=[tex]24\*x^{6}[/tex]
w=[tex]y^{15}[/tex]
Step-by-step explanation:
We know that the area of rectangle can be determined by the multiply the length to the width i.e
A = l • w..................Eq(1)
Here A represented the area .
l= Length of rectangle
w= Width of rectangle
Here A= [tex]24x^{6} y^{15}[/tex]...
It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)
Comparing the Eq(2) to the Eq(1)
[tex]l=24x^{6}\\ w=y^{15}[/tex]
Answer:
the right answer A. 2x^5y^8 and 12xy^7
Step-by-step explanation:
Fine the value of X
Answer:
30
Step-by-step explanation:
60/40=3/2
105/40+x = 3/2
105/70=3/2
x=70-40 = 30
Answer:
x = 30
Step-by-step explanation:
60/40 = 45/x
Cross multiply.
60x = 40 × 45
60x = 1800
Divide both sides by 60.
x = 1800/60
x = 30
N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function
Answer:
Step-by-step explanation:
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
9p + 8 Math fraction
Answer:
17p
Step-by-step explanation:
9p+8p=17p
Hello Everyone Please find attached
Answer:
2 or 6
Step-by-step explanation:
i would prefer talk about either some math, or some new science updates, if you ever need to learn anything about cool science i always go to Mark Rob -er on you tube
Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).
Answer:
One invariant point;
Point A = (2, 0)
Step-by-step explanation:
The coordinates of the square vertices are;
O = (0, 0)
A = (2, 0)
B = (2, 2)
C = (0, 2)
Therefore, we have by 90° clockwise rotation;
O' = (2, 2)
A' = (2, 0)
B' = (4, 0)
C' = (2, 4)
Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).
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which of the following is made up of one base and a vertex not in the same plane as the base? check all that apply
a. cone
b. prism
c. cylinder
d. pyramid
Answer:
a. cone. Since it's the only shape with one base and a vertex not on the same plane