Answer: M^10
Step-by-step explanation:
since the base number is the same, just add up the exponents: 2+5+3=10
Answer:
Step-by-step explanation:
If its like M^2 x M^5 x M^3 (exponents)
then just add 2+5+3=10
so M^10
Its a rule when the bottom (M) is the same you add the exponents.
If its 2M x 5M x 3M then you multiply
2x5x3=30
so 30M
Hope this helps!
What is the standard form of the equation for this circle?
A (x-1)2-(y + 10)² + 4 = 0
B. (x - 1)2 - +10)2 = 2
c. (x + 1)2 + (y- 1072 = 4
D. (x-1)2-(y + 10)² =
Answer:
(x + 1)² + (y - 10)² = 4
Step-by-step explanation:
Standard form of the equation of a circle is given by,
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and 'r' is the radius.
In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.
By substituting these values in the formula,
(x + 1)² + (y - 10)² = 2²
(x + 1)² + (y - 10)² = 4
Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4
Given that 7 x − 2 y = 35 Find y when x = − 9
so x = minus 9
then
7 × (-9) - 2y = 35
-63 - 2y = 35
-2y = 35 plus 63
-2y = 98
- y = 49
y = -49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 35[/tex]
Given that x = -9
=> [tex]7(-9) -2y = 35[/tex]
=> [tex]-63-2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = -49[/tex]
Given: Circle k(O), diameter US , m RU=50°, m UT=30° Find: m∠RUS, m∠STU
Answer:
[tex]\boxed{m<RUS = 65 \ degrees}\\\boxed{m<STU = 90 \ degrees}[/tex]
Step-by-step explanation:
Finding m∠RUS:Given that RU = 50°, So Central Angle ROU = 50° too because the measure of arc is equal to its central angle
Now, Let's assume a triangle ROU. It is an isosceles triangle since RO = RU (Radii of the same circle)
So,
∠ORU ≅ ∠OUR (Angles opposite to equal sides are equal)
So, we can write them as 2(∠RUO)
So,
2(∠RUO)+50 = 180 (Interior angles of a triangle add up to 180)
2(∠RUO) = 180-50
2(∠RUO) = 130
Dividing both sides by 2
∠RUO = 130/2
∠RUO = 65 degrees
m∠RUS = 65 degrees (Both are the same)
Finding m∠STU now:In a semi circle (Given that SU is a diameter) , there must be a 90 degrees angle sin it opposite to the diameter.
So,
m∠STU = 90 degrees
From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°
CircleGiven that:
m RU = m∠ROU = 50°, m UT = m∠UOT =30°m∠ORU = m∠OUR (isosceles triangle)
m∠ORU + m∠OUR + m∠ROU = 180° (angle in triangle)
50 + 2 * m∠OUR = 180
m∠OUR = 65°
m∠OUR = m∠RUS = 65°
m∠STU = 90° (angle subtended at circumference by semicircle).
From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°
Find out more on circle theorems at: https://brainly.com/question/17023621
A circle has a radius of 8cm use the value 3.1 for π to calculate the area of a sector of the circle if the angle at the center is 150°
Answer:
[tex]8\frac23\ cm^2[/tex]
Step-by-step explanation:
sector of the circle if the angle at the center is 150° means [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius
area of a circle of given radius R is: πR²
so area of given sector:
[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]
The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
What is a circle?
A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -
x² + y² = r² (for circle centered at origin)
Given is a circle has a radius of 8 cm.
The area of the sector subtending the angle 150° at center is -
A = (150/360) x 3.1 x 8 x 8
A = 82.67 square centimeter.
Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
To solve more questions on circles, visit the link below-
https://brainly.com/question/17006280
#SPJ5
The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
what percentage of the population has a heart rate between 68 and 77
Answer:
49.87% of the population has a heart rate between 68 and 77.
Step-by-step explanation:
We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.
Let X = the data for the resting heart of adults
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 68 beats per minute
[tex]\sigma[/tex] = standard deviation = 3 beats per minute
Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)
P(68 < X < 77) = P(X < 77) - P(X [tex]\leq[/tex] 68)
P(X < 77) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{77-68}{3}[/tex] ) = P(Z < 3) = 0.9987
P(X [tex]\leq[/tex] 68) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{68-68}{3}[/tex] ) = P(Z [tex]\leq[/tex] 0) = 0.50
The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.
Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%
what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS
Answer:
125 : 729
Step-by-step explanation:
Given the ratio of the radii of 2 similar spheres = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 9 , thus
ratio of volumes = 5³ : 9³ = 125 : 729
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
What are the independent and dependent variables in the relationship?
w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.
For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.
Mary earns $28,000 a year. One week she grossed $658.00. She had sold $1673.19 worth of merchandise. what is the rate of her commission?
Answer:
Her commission rate is 7.44%
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
The equations in this system were added to solve for y. What is the value of y? X + 6 y = 10. Minus x + 3 y = negative 15. Equals 9 y = negative 5. Y = Negative StartFraction 9 Over 5 EndFraction y = Negative StartFraction 5 Over 9 EndFraction y = StartFraction 5 Over 9 EndFraction y = StartFraction 9 Over 5 EndFraction
Answer:
y = StartFraction 5 Over 9 EndFraction
y=5/9
Step-by-step explanation:
Given:
x+6y=20
-x+3y=-15
x+6y=20. (1)
-x+3y=-15 (2)
From (1)
x=20-6y
Substitute x=20-6y into (2)
-x+3y=-15
-(20-6y)+3y = -15
-20+6y+3y = -15
9y=-15+20
9y=5
Divide both sides by 9
9y/9=5/9
y=5/9
y = StartFraction 5 Over 9 EndFraction
Answer:
y=-5/9
Step-by-step explanation:
9y=-5
---------- Divided by 9
9 9
Y is equal to negative five over 9
Have a good day and stay safe!
To decrease a number by 40%, what do we multiply by???
Answer:
Step-by-step explanation:
to decrease a number by 40% i would do
100% = number you got
50% divide by 2
10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%
then take the 40% away from the 100%
hope this helps :)
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
I need answers to a and b please ;D
Answer:
Angle x is 75 degrees because 180-105 = 75 so the angle next to 105 is the alternate exterior angle to angle x which means they are equal
Step-by-step explanation:
Answer:
a) 75 deg
b) see below
Step-by-step explanation:
a)
x + 105 = 180
x = 75
b) <x and <ABF are supplementary since they are a linear pair, so
x + m<ABF = 180
Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.
m<ABF = m<EFG
x + m<EFG = 180
x + 105 = 180
x = 75
What is the range of the function?
Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?
Answer:
y = -2/3x + 4
Step-by-step explanation:
In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.
The number with which "x" is multiplied is the slope.
So in this case, the slope is -2/3; so the equation should be like -2/3x.
The y-intercept is 4, so it is the number with which no variable is multiplied.
So the equation is:
=> y = -2/3x + 4
Susan bought a calculator for $120 . She had to pay a sales tax of 10% on the price. How much change would she receive from $140 ?
Answer: $8
Step-by-step explanation: $120+10%=$132. $140-$132=$8.
please help :) Which of these numbers is the greatest? A. 1.9 x 10 to the 5 power B. 9.1 x 10 to the 2 power C. 7.9 x 10 to the 4 power D. 89,900
Answer: The answer is A.
Step-by-step explanation:
1.9x10^5= 190000
9.1x10^2= 910
7.9x10^4 =79000
WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.
Answer:
D.
Step-by-step explanation:
Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.
Gwen is reading 30 pages per day, so her slope will be 30.
D. y = 30x + 15 will be her equation.
Hope this helps!
Please give me the correct answer
Answer:
e=9.14
Step-by-step explanation:
e²=a²+b²-2abcosФ
e²=36+25-2(30)cos112
e=√36+25-2(30)cos112
e=9.14
If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?
Answer:
Just add 6 to the right side of 3 which will make as 36
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
Hope it helps u...pls mark as brainliest
£1 = 1.18 euros How many pounds will lisa have to exchange to get 300.90 euros. (please answer!)
Answer:
255 pounds.
Step-by-step explanation:
We can set up a proportion.
1 pound / 1.18 euros = x pounds / 300.9 euros
1.18 * x = 1 * 300.9
1.18x = 300.9
x = 255
255 pounds.
Hope this helps!
Answer:
300.90 € = £ 255
Step-by-step explanation:
£ 1 = 1.18 €
So,
1 € = £ 1/1.18
=> 1 € = £ 0.847
Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros
=> 300.90 € = £ 0.847 * 300.90
=> 300.90 € = £ 255
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
Plz help mw 8 am so dumb lol
Answer:
1,1,3,1,1
Step-by-step explanation:
Answer:
0 1
1 1
2 3
3 1
4 1
Step-by-step explanation:
You would just count how many 0 there are in the set and there are 1 and you would put in by 0. For 1 there are 1, for 2 there are 3, for 3 there are 1, and for 4 there are 1.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Option C
Step-by-step explanation:
=> [tex]729x^6+y^6[/tex]
=> [tex](9x^2)^3+(y^2)^3[/tex]
Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]
=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]
=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]
So, these are the two factors of the expression!
{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?
Answer: the answer is b(5)
Step-by-step explanation:
To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.
Answer:
b(3)=-16
Step-by-step explanation:
We have to figure out the second term
b(2)=b(1)-7
b(2)=-2-7
b(2)=-9
and now the third one
b(3)=b(2)-7
b(3)=-9-7
b(3)=-16
I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
I am really confused... Please help me solve this question!
I hope this helps you
which is the equation of a line that passes through the point (3,2) and is parallel to the line in the graph?
Answer:
A. 3x - 2y = 5
Step-by-step explanation:
Given line in the graph has the following properties:
using point (2,3)
m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2
New line passes through y0(3,2), so use the point-slope form
(y-y0) = m (x-x0)
substitute in value y0(3,2)
y - 2 = (3/2) (x - 3)
multiply by 2 on each side
2y - 4 = 3x - 9
simplify and rearrange
3x - 2y = -4 + 9 =5
3x - 2y = 5
can someone help me please
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.