Answer:
The sum of all digits in the first 25 counting numbers is 127
Hope this helps
Can I get the awnser to this please?
Answer:
151.320046 m^2
150 m^2
Hope it helped!!!!!
Step-by-step explanation:
Area of the circle is:
pi * r^2
Therefore:
= pi * 17^2
= 289 * pi
Now Area of the sector:
= 289 * pi * (60/360)
= 289 * pi * 1/6
= 48.1666667 * pi
= 151.320046 m^2
= 150 m^2 (rounded)
Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m
Answer:
The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m
if x= 3y-2/4, what is the value of y in terms of x?
Answer:
[tex]x = \frac{3y - 2}{4} [/tex]
Multiply through by 4
We have
[tex]3y - 2 = 4x[/tex]
Send 2 to the right side of the expression
That's
[tex]3y = 4x + 2[/tex]
Divide both sides by 3
That's
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
We have the final answer as
[tex] y = \frac{4x + 2}{3} [/tex]
Hope this helps you
Answer:
[tex]y = \frac{4x + 2}{3} [/tex]
Step by step explanation
[tex]x = \frac{3y - 2}{4} [/tex](Given)
Multiply by 4 on both sides:
[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]
Calculate
[tex]4x = 3y - 2[/tex]
Add 2 on both sides
[tex]4x + 2 = 3y - 2 + 2[/tex]
[tex]4x + 2 = 3y[/tex]
[tex]3y = 4x + 2[/tex]
Divide both sides of the equation by 3
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
Calculate
[tex]y = \frac{4x + 2}{3} [/tex]
Hope this helps...
Good luck on your assignment..
Find the solution of the following simultaneous inequalities: x - 7 –1
Answer:
x-8
Step-by-step explanation:
You add the -7 and -1 and then put the x in front of your answer.
Answer: x-8
Step-by-step explanation:
x-7-1
-7-1=-8
x-8
Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =
Answer:
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
Step-by-step explanation:
If m<1=45 then what is the measure of <2
HELP!!!
Hey there! :)
Answer:
m∠2 = 135°.
Step-by-step explanation:
∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:
m∠2 = 180 - m∠1
m∠2 = 180 - 45
m∠2 = 135°.
100
b)
2. Write the following decimals as common fractions in their simplest forms
a) 0,8
b) 0,03
Answer:
4/5, 3/100
Step-by-step explanation
Let's look at 0.8 first.
0.8 is 8/10, but there's some more.
Let's divide 8 / 2. It is 4.
and, 10 / 2 is 5.
so, 0.8's simplest form is 4/5.
and, 0.03's simmplest fraction is easy.
It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.
Hope this helps!
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?
Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
An incomplete distribution is given below:Variable You are given that the median value is 70 and the total number of items is 200. Using the median formula fill up the frequencies.
Answer:
The missing frequencies are x = 8 and y = 43.
Step-by-step explanation:
Median Value =70
Then the median Class =60-80
Let the missing frequencies be x and y.
Given: Total Frequncy = 200 , Median = 46
[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]
From the table
[tex]\sum f_i =149+x+y[/tex]
Here, n = 200
n/2 = 100
Lower Class Boundary of the median class, l=60
Frequency of the median class(f) =66
Cumulative Frequency before the median class, f=42+x
Class Width, h=10
[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]
[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]
200=149+x+y
200=149+8+y
y=200-(149+8)
y=43
Hence, the missing frequencies are x = 8 and y = 43.
What is the answer of .7 of which is 3.43
Answer:
4.9
Step-by-step explanation:
3.43/0.7
34.3/7=49
3.43/0.7=4.9
The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.
We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.
We represent "0.7 of x" as 0.7x.
So, the equation becomes:
0.7x = 3.43
To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:
(0.7x) / 0.7 = 3.43 / 0.7
The 0.7 on the numerator and denominator cancel out, leaving us with just x:
x = 3.43 / 0.7
Now, we perform the division:
x = 4.9
The value of x is approximately 4.9.
Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ4
The following box plot shows points awarded to dance teams that competed at a recent competition:
Answer:
top plot
Step-by-step explanation:
From the box and whisker plot, the smallest data point is 0 and the largest data point is 100
The median is 70
The only plot that has points at 0 and 100 is the first plot
Can any of y’all help me with this problem?
Answer:
90º clockwise rotation
Step-by-step explanation:
The rotation is a 270º counterclockwise rotation, since 270º rotation is
(x, y) → (y, -x)
F(1, 3) → (3, -1)
270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.
30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Answer:
Its a postive number
Step-by-step explanation:
If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.
The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.
The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,
12.3 - (-9.6)
=12.3 + 9.6
= 21.9
Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
To learn more about subtraction, click here:
https://brainly.com/question/2346316
#SPJ5
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle? PLEASE its important
Answer: 464 square inches is the area of the larger rectangle.
Step-by-step explanation: Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.
The small rectangle's Area = w (2w -1) which is 2w² -w
The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2
Now figure out the equation for the "shaded area" (probably outside the small rectangle) 2w² + 5w +2 -(2w² -w) = 86 (The 2w² terms cancel)
6w + 2 = 86, so 6w = 84, w=14
Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)
(14+2)(2[14] + 1) = Area
16 × 29 = 464
(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)
Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.
Every week, Riley spends \$3$3dollar sign, 3 per square meter on the area where she lives, and earns \$7$7dollar sign, 7 per square meter from the area where she grows avocados. That way, she manages to save some money every week.
Write an inequality that models the situation. Use lll to represent the length of Riley's farm.
Answer:
The inequality that models the situation for her to have money to save is
7L² > 3(200L - L²)
On simplifying and solving,
L > 60 meters
Step-by-step explanation:
The length of her farm = L meters
The farm where she grows avocados is of square dimension
Area of the farm = L × L = L²
The piece of land is 200 m wide.
Total area of the piece of land = 200 × L = (200L) m²
If the area of her farm = L²
Area of the side where she lives will be
(Total area of the land) - (Area of the farm)
= (200L - L²)
= L(200 - L)
Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.
Total amount she earns from the side she grows the avocados = 7 × L² = 7L²
Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)
For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be
(Amount she earns) > (Amount she spends)
7L² > 3(200L - L²)
To simplify,
7L² > 3L(200 - L)
Since L is always positive, we can divide both sides by L
7L > 3(200 - L)
7L > 600 - 3L
10L > 600
L > 60 meters
Hope this Helps!!!
Answer:
Answer is in attached image.
Please help me find the area of this shape
Answer:
44+50 =94 in²
Step-by-step explanation:
Trapezoid
A= 1/2h(b1+b2)
A= 1/2*4(7+15)
A=1/2*4(22)
A=44
Rectangle
A=l*w
A=5*10
A=50
44+50 =94 in²
what is the answer? The 8x-1x confused me.
10+ 8x -1x
Answer:
7x + 10
Step-by-step explanation:
10 + 8x - 1x
Add or subtract like terms.
10 + (8 - 1)x
10 + (7)x
Rearrange.
7x + 10
Answer:
7x+10
Step-by-step explanation:
start by rewriting the problem
10+8x-1x
now, you can subtract 8x from 1x, because they are like terms
10+7x
arrange the terms
7x+10
now, that is your final answer!
f(x)=x^2 what is g(x) PLEASE HELP FAST :)))) THANKS IN ADVANCE!!! YOU'RE THE BEST
Answer:
g(x) = -x² - 3
Step-by-step explanation:
You want to mirror f(x), hence the minus sign.
Then you want to translate it 3 down, hence the -3.
Answer:
g(x) = -x² - 3
Step-by-step explanation:
f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.
g(x) will be -x², it cross the y-intercept at (0, -3)
g(x) = -x² - 3
If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .
Answer:
[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]
Plug in a for 2, b for 3, and c for -7 and you should find your roots.
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
Eight people rob a bank: * By what percent does the share of three robbers increase?
Answer:
Step-by-step explanation:
It increase by 2.3
In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.
Answer:
Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.
Step-by-step explanation:
A triangle has angles that measure 107°, 20°, and 53°. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
Let's first cancel out the obvious.
This is not a equilateral triangle because the angles are not equal.
Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.
It's also not a iscosles because no two angles are the same.
Thus we end up with scalene triangle.
Hope this helps!
This box has the same length, width, and height as the two tennis balls. Which expression gives the volume of the empty space encircling the tennis balls inside the box?
Formala : Times bottom row with side row with the height.
Example: A box has the same length, width, and height as two tennis balls.
Times the bottom row with side row with the height.
find 1st - 4th term and then the 10th term for:
A: rule is n^2+3
B: rule is 2n^2
Answer:
A
n^2+3
1. 1^2+3= 4
2. 2^2+3= 7
3. 3^2+3= 12
4. 4^2+3= 19
5. 10^2+3= 103
B
2n^2
1. 2*1^2=2
2. 2*2^2= 8
3. 2*3^2= 18
4. 2*4^2= 32
5. 2*10^2= 200
Answer:
see below
Step-by-step explanation:
n^2+3
n=1: 1^2+3 = 1+3 =4
n=2: 2^2+3 = 4+3 =7
n=3: 3^2+3 = 9+3 =12
n=4: 4^2+3 = 16+3 =19
n=10: 10^2+3 = 100+3 =103
2n^2
n=1: 2*1^2 = 2*1 =2
n=2: 2*2^2 = 2*4 =8
n=3: 2*3^2 = 2*9 =18
n=4: 2*4^2 = 2*16 =32
n=10: 2*10^2 = 2*100 =200
Combine the like terms to create an equivalent expression: r+(-5r)
Answer:
-4r
Step-by-step explanation:
r + -5r
Factor out r
r( 1-5)
r(-4)
-4r
4. Find the height of a cylinder whose radius is 7cm and the total surface area is 968 sq.cm
(1 Point)
17cm
16cm
15cm
14cm
(its an emergency the due date is about to finish so let's make it quick)
Answer:
Height of the cylinder = 15
Step-by-step explanation:
According to the question, TSA=968
TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968
2*22 (7+h) = 968
(7+h) = 968/44
7+h=22
h = 22-7
= 15 cm
Please answer ASAP! (I'll give brainliest and no need for explanation!)
Answer:
Median=3, Mean=2.333
Step-by-step explanation:
Un ciclista debe realizar una ruta a través de una carretera para ir desde una ciudad A hasta una ciudad B en varios tramos. El primer tramo mide dos tercios del tercer tramo, el segundo tramo es dos veces mayor que el tercer tramo y el cuarto tramo tiene la medida del primero más el segundo. Si el último tramo es de 80 km, ¿cuál será la distancia total recorrida de la ciudad A hasta la ciudad B?
Respuesta:
190 km
Explicación paso a paso:
Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:
a = 2/3*c
b = 2*c
d = a + b
Ahora bien sabemos que d = 80, reemplazamos y nos queda:
80 = a + b
tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:
80 = 2/3*c + 2*c
80 = 8/3*c
c = 80*3/8
c = 30
ahora calculamos tanto a como b:
a = 2/3*30 = 20
b = 2*30 = 60
Ahora, el recorrido total es la suma de todos los tramos:
Total = a + b + c + d
Total = 20 + 60 + 30 + 80 = 190
Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km
In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S?
In addition to the question, the following conditions must be met:
(1) M > 100
(2) more than 130 employees participate in the voluntary equity program
Answer:
Value of A is 200
Step-by-step explanation:
In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.
This is illustrated below:
For Beta employees 100/25= 4
So the number of employees that are Beta must be divisible by 4
For Standard employees 100/17 = 5.882
Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100
Total employees are 600
The various combinations are:
1. Beta employees 500 and Standard employees 100
Survey participants= (0.25 * 500) + (0.17 * 100) = 142
Number of participants is okay as it is >130 but does not satisfy Standard employees being >100
2. Beta employees are 300 and Standard employees are 300
Survey participants = (0.25 * 300) + (0.17 * 300) = 126
This does not satisfy condition of survey participants >130
3. Beta employees 400 and Standard employees 200
Survey participants = (0.25 * 400) + (0.17 * 200) = 134
This satisfies conditions of >130 survey participants and Standard employees >100
So correct value of S is 200