Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = [tex]\frac{m}{V}[/tex] ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is 11.34g/cm³
From the question, the weight/mass of the lead ball is 326g
Substitute these values into equation (i) as follows;
11.34 = [tex]\frac{326}{V}[/tex]
V = [tex]\frac{326}{11.34}[/tex]
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [tex]\frac{4}{3} \pi r^3[/tex] [V = volume, r = radius]
V = 28.75cm³
=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
Complete the statements about the system of linear
equations represented by the tables.
The equation representing the left table is
y = 1.5x - 6.
The equation representing the right table is
y=-4x + 6.1
The solution to the system of equations is?
Answer:
(2.2, -2.7)Step-by-step explanation:
y = y1.5x - 6 = -4x + 6.1+4x+6 +4x+6
5.5x = 12.1÷5.5 ÷5.5
x = 2.2y = -4×2.2 + 6.1 = - 8.8 + 6.1 = - 2.7Answer:
Left table: y= 1.5x - 6
Right table : y= -4x + 6.1
Solution : (2.2 , -2.7)
Step-by-step explanation:
:)
Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please solve it all please if you can save the picture and do it on the page
Answer:
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
What are the solutions of the system? y=−6x−6 and y= x^2 −5x−6
Answer:
(0,-6) and (-1,0)
Step-by-step explanation:
First:
Set both sides equal to each other: -6x-6=x^2-5x-6
Next:
factor -6 our from the first side and write -5x as a difference:
-6(x+1)=x^2+x-6x-6
Then:
factor out x and -6 drom the second side:
-6(x+1)=x(x+1)-6(x-+1)
Then:
Factor out (x+1)
-6(x+1)=(x+1)(x-6)
Next Combine to one side and factor:
-(x+1)(6+x-6)=0
Simplify:
(x+1) (x)=0
find the zero:
x+1=0 --> x=-1
x=0 --> x=0
Substitute into the equations to find y:
y=-6(-1)-6
y=-6(0)-6
Solve:
y=0
y=-6
Answer:
(x1,y1)= (-1,0)
(x2,y2)= (0,-6)
Write the point-slope form of an equation of the line through the points (6,-1) and (5,-7).
Answer:
slope of the line containing the given points (6,-1) AND (5,-7) is 6
point- slope form of the equation is
(y+1)= 6(x-6) ( because, i'm choosing the point (6,-1)
Step-by-step explanation:
slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6
(y-y1) = m ( x - x1)
(y+1 ) = 6 ( x-6)
carbon 14 is a radioactive element with a half life of 5750 years. A human skeleton is found to contain one fifth of its original amount of carbon 14. how old is the skeleton
Answer:
The skeleton is 1150 yrs old.
Step-by-step explanation:
To get this answer you would take 5750 and divide by 5 because the problem say 1/5th. This would give you the equation 5750/5 = 1150.
A circle with center A and radius three inches is tangent at C to a circle with center B, as shown. If point B is on the small circle, what is the area of the shaded region? Express your answer in terms of \pi.
Answer:
27π Sq in.
Step-by-step explanation:
Circle A is equal to 9π sq inches. (Radius squared times Pi), Segment BC is a radii of Circle B and the diameter of Circle A. Meaning Circle B's radius is 6 inches. The area of circle B would be 36π sq inches. Now we subtract Circle A's area from Circle B's area(36π sq in. - 9π sq in.), the area of the shaded region is 27π sq in.
Graph this compound inequality: 2.5 < x < 4.5
-5 4
-3
-2
-1 0
+ ++ +
1 2 3 4 5
o
Drag a point to the number line.
Answer:
Please find the attached the required inequality graph
Step-by-step explanation:
Given that inequality is 2.5 ≤ x ≤ 4.5, we have;
The region in the given inequality is the region between 2.5 and 4.5 inclusive
Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;
A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.
What is the solution to the system of equations? y=2/3x+3 x = –2
Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)
Answer:
[tex]\boxed{(-2, \frac{5}{3} )}[/tex]
Step-by-step explanation:
y = 2/3x+3
x = -2
Plug x as -2 in the first equation.
y = 2/3(-2) + 3
Solve for y.
y = -4/3 + 3
y = -4/3 + 3/1
y = -4/3 + 9/3
y = 5/3
The value of x is given already as -2.
The value of y is 5/3.
The solution to the system of equations is (-2, 5/3).
PLZ HELP ASAP!!! I WILL NAME BRAINLIEST!! 65 POINTS!! (:
Answer:
1. 44 + 3x
2. 2y - 8
3. x - 6
15. [tex]5\frac{7}{8}[/tex]
16. [tex]6\frac{1}{3}[/tex]
17. [tex]3\frac{7}{9}[/tex]
Step-by-step explanation:
1. 7² + 2² - 5 - 4 + 3x
49 + 4 - 5 - 4 + 3x
53 - 5 - 4 + 3x
48 - 4 + 3x
44 + 3x
2. - y - 5 + y + 2(2y-y) - 3
-y - 5 + y + 4y - 2y -3
-y - 5 + 5y - 2y - 3
4y - 2y - 5 - 3
2y - 8
3. 5x -3 - x - 3(x + 1²)
5x - 3 - x - 3x - 3
4x - 3x - 3 -3
x - 3 -3
x - 6
15. [tex]7\frac{1}{4} - 1\frac{3}{8}[/tex]
= [tex]7 \frac{2}{8} - 1\frac{3}{8}[/tex]
= [tex]\frac{58}{8} - \frac{11}{8}[/tex]
= [tex]\frac{47}{8}[/tex] → [tex]5\frac{7}{8}[/tex]
16. [tex]9 - 2\frac{2}{3}[/tex]
= [tex]\frac{54}{6} - 2\frac{4}{6}[/tex]
= [tex]\frac{54}{6} - \frac{16}{6}[/tex]
= [tex]\frac{38}{6}[/tex] → [tex]6\frac{2}{6}[/tex] → [tex]6\frac{1}{3}[/tex]
17. [tex]10\frac{1}{3} - 6\frac{5}{9}[/tex]
= [tex]10 \frac{3}{9} - 6\frac{5}{9}[/tex]
= [tex]\frac{93}{9} - \frac{59}{9}[/tex]
= [tex]\frac{34}{9}[/tex] → [tex]3\frac{7}{9}[/tex]
Hope this helps.
AB =? Round your answer to the nearest hundredth.
Answer:
? = 4.41
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos A = adj / hyp
cos 25 = 4/?
? = 4/ cos 25
? =4.413511676
To the nearest hundredth
? = 4.41
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!
please find the solution set of x+3>19-3x, where x is a real number
Answer:
[tex]x >4[/tex]
Step-by-step explanation:
[tex]x+3>19-3x[/tex]
Add 3x and -3 on both parts.
[tex]x+3+3x-3>19-3x+3x-3[/tex]
Combine like terms.
[tex]x+3x>16[/tex]
[tex]4x >16[/tex]
Divide 4 on both parts.
[tex]\frac{4x}{4} > \frac{16}{4}[/tex]
[tex]x >4[/tex]
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answer:
500cm or 5 meters
Step-by-step explanation:
The ratio of drawing and field is 1:90.
So we have to make 450 m into cm.
450 -> is 45,000
Now we can make 2 fractions,
[tex]\frac{1}{90}=\frac{x}{45000}[/tex]
Cross multiply
90*x = 90x
1*45000 = 45000
90x = 45000
Divide 90 to both sides
x = 500cm
Thus,
the drawing's field is 500cm or 5m long.
Hope this helps :)
At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers?
Answer: 8 days
Step-by-step explanation:
Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.
i.e. [tex]\dfrac{4}{5}[/tex] x (1 day) = [tex]\dfrac{1}{10}[/tex] x (an order of sneakers)
Multiply 10 on both the sides , we get
[tex]\dfrac{4}{5}\times10[/tex] x (1 day) = [tex]\dfrac{1}{10}\times10[/tex] x (an order of sneakers)
⇒[tex]4\times2[/tex] x (1 day) = an order of sneakers
⇒[tex]8[/tex] x (1 day) = an order of sneakers
i.e. Time to complete an order of sneakers = 8 days
Hence, it will take 8 days to complete the entire order of sneakers.
Answer: 8 days total
Step-by-step explanation:
Help please!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
Let's say you picked the blue one first. You have a 2/3 chance of doing that, and now you're left with 2. Now, to pick the green one, you have a 1/2 chance. Multiply that and you see that you have a 1/3 chance of picking it last.
Answer:
1/3.
Step-by-step explanation:
The probability that the red cube WON'T be picked on the first draw is 2/3. This is because there is a 1/3 probability of picking a green cube, added to a 1/3 probability of picking a blue cube.
The probability that the red cube WON'T be picked on the second draw is 1/2. This is because one cube has already been picked, so there are two remaining. You can only pick one of the two.
(2/3) * (1/2) = (2 * 1) / (3 * 2) = 2 / 6 = 1/3.
Hope this helps!
what is 23/20 as a mixed number
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation:
'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with '[tex]\frac{3}{20}[/tex]' as the remainder, so '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.
Put them together, and you get: [tex]1\frac{3}{20}[/tex]
The fraction is already in it's simplest form.
Brainilest Appreciated.
The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
We have to given that,
A number is,
⇒ 23 / 20
We can divide it for the mixed fraction as,
⇒ 23 / 20
20 ) 23 ( 1
- 20
--------------
3
Therefore, It can be written as,
⇒ 23 / 20 = 1 3/20
Thus, The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
What the answer to this problem now
Answer:
25.4 degrees
Step-by-step explanation:
Use the inverse sine function to calculate
What is the product of the polynomials below
Answer:
B. [tex]15x^{4}[/tex] + 2x³ - 8x² - 22x - 15
Step-by-step explanation:
1. (3x² - 2x - 3)(5x² + 4x +5)
[tex]15x^{4}[/tex] + 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15
2. Combine like terms
[tex]15x^{4}[/tex] + 2x³ - 8x² - 22x - 15
What is the slope of the line that contains the points (-5, 6) and (14.-7)?
O A.
7
19
B.
7
5
C.
13
5
O D.
13
19
Answer:
D = - 13/19
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1) = (6- (-7))/(-5-14) = - 13/19
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEE AND DO NOT LOOK IT UP ON ANY SOURCE THANK YOU AND ILY
Answer:
Jesse
Step-by-step explanation:
Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.
Hope this helped! :)
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]
Find m∠ABC. (2x+14) (x+7)
Answer:
A= 2
B=28
C=0
Step-by-step explanation:
ax2 + bx + c=0
Un agricultor observó que la expresión F(x)=-2x2+16x+25 describe la producción (P), en toneladas, de cacao que cosecha en sus tierras en función de la cantidad (x), en toneladas, de fertilizante empleado. La producción de cacao será máxima cuando la cantidad de fertilizante x es igual a:
Answer:
348 7gb93c9 good morning to you all right place on my bed right now iam not geting the best way u are gonna be in this situation is it was not Halloween but gug batson vocal vox's John b bucko and my dear loving n love u soo hapy that u can go ahead with it is my beauty grl for the kichen and u will not cm to ur 2AM to go to Gangtok and my 7th anniversary of the 4588th 468inches I will not be the 6th of God Amen n and 93feet
Step-by-step explanation:
galvanise and I will have the best of my kds to 67055965th in the name and u have to write a book about this balance of God and blow it up n and then be online til now I will be a man fan of u my son Anup he shall wbsoenndkd6543 the best man in the land and my 8AM shall il be bsy in the 34th century abksbdkfusnliqnksus in jsbsbdbsmqjnans bus andQueremos encontrar el valor de x que maximiza la expresión dada.
Veremos que el valor de x que maximiza la producción es x = 4.
Tenemos la expresión:
F(x) = -2*x^2 + 16*x + 25
Y queremos maximizarla.
Notar que es una función cuadratica cuyo coeficiente principal es negativo, es decir, el máximo de la función esta en el vertice.
Para una cuadratica generica:
y = a*x^2 + b*x + c
El vertice está en:
x = -b/2a
Entonces en nuestro caso, el vertice va a estar en:
x = -16/(2*-2) = 4
x = 4
Es decir, la producción de cacao será máxima cuando se utilicen 4 toneladas de fertilizante.
Sí quieres aprender más, puedes leer:
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Does this graph represent a function? Why or why not?
Answer:
Yes
Step-by-step explanation:
This graph represents a continuous function. That means that the line can be drawn without lifting your pen/pencil from the graph. You can tell that it is a function by doing the vertical line test. Since there is only one output for every input on the graph, it would be a function.
(Thanks to the users who caught my previous error :)
given the side length of 35m and a height of 22m, calculate the length of the slant edge ( E ) the base angle the distance between the center of the base and the corner of the pyramid and the area of the side of the pyramid
Work shown please!
Answer:
1) 33.11 m
2) 58.1°
3) 35·√2
4) 491.925 m²
Step-by-step explanation:
Side length of the pyramid = 35 m
The height of the pyramid = 22 m
The slant height = √(Height² + (1/2 Side length)²)
The slant height = √(22² + (1/2×35)² = 28.11 m
1) The slant edge length = √((Slant height)² + (1/2 Side length)²
The slant edge length = √(28.11² + (1/2×35)²) = 33.11 m
2) The base angle = tan⁻¹((Slant height)/(1/2 Side length))
The base angle = tan⁻¹(28.11/(1/2×35)) = 58.1°
3) The distance between the center pf the base and the corner of the pyramid is half the length of the base diagonal
The length of the base diagonal = √((Side length)² + (Side length)²)
The length of the base diagonal = √(35² + 35²) = 35·√2
The distance between the center pf the base and the corner of the pyramid = 35·√2/2 = 24.75 cm
4) The area of the side of the pyramid = 1/2×(Side length)× (slant height)
The area of the side of the pyramid = 1/2*35*28.11 = 491.925 m²
ANSWER QUICKLY plzzzzzz
Answer:
$95.42 more
Step-by-step explanation:
To find out how much money was made with Investment A after 2 years:
First, we are told that 160 dollars is saved per month for 2 years. There are 24 months in 2 years, so we have to multiply $160 by 24 months.
160 *24=$3840 after 2 years.
Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years. So, we must turn 2.5% in to a decimal, which is 0.025.
Now, multiply 3840*0.025 to get $96.
We have to add that on the the amount saved, so 3840+96=$3936.
Investment A made $3936 after 2 years.
To find out how much money was made with Investment B.
So, we have to find compound interest. The formula for compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
In this problem: P=3800, r=3% or 0.03, n=1, and t=2.
So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]
That becomes: [tex]A=3800(1.03)^{2}[/tex]
Simplify it even further: [tex]A=3800(1.0609)[/tex]
Multiply the last two numbers to get: [tex]A=4031.42[/tex]
Investment B made $4031.42 after 2 years.
The question asks us to find out how much more money Investment B made than Investment A after 2 years. It's simple. Just subtract Investment A's amount from Investment B's amount.
4031.42-3936=95.42
Investment B made $95.42 more than Investment A after 2 years.
Simplify: 3 · 32 + 8 ÷ 2 − (4 + 3)
Answer: 93
Step-by-step explanation:
To solve this we need to follow BIDMAS.
The order of calculations is brackets, division, then multiplication, then addition, then subtraction.
1) (4 + 3) = 7
2) Division: 8 / 2 = 4
3) Multiplication: 3 * 32 = 96
This leaves us with:
96 + 4 - 7
This equals 93.
Answer:
93
Step-by-step explanation:
3 · 32 + 8 ÷ 2 − (4 + 3)
PEMDAS says parentheses first
3 · 32 + 8 ÷ 2 − (7)
Then multiply and divide from left to right
96 + 4 -7
Then add and subtract
100-7
93
dosto answer and main mixed fraction main aana chahiye it's very important.
Answer:
32-(7-17)+11
32-(-10)+11
32+11-(-10)
43-(-10)
53
Determine the equation for the line of best fit to represent the data.
Answer:
Y= -1/5x + 1
Step-by-step explanation:
Just type it on a graphing calculator an click graph