Answer:
volume of a hemisphere ≈ 36369.5 in³
Step-by-step explanation:
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= [tex]\frac{4}{3}[/tex]πr³ ÷ 2
=[tex]\frac{2}{3}[/tex] πr³
where r is the radius
from the question given, diameter = 51.8 inches
but diameter = 2r , this implies that r = [tex]\frac{d}{2}[/tex] hence r = [tex]\frac{51.8}{2}[/tex] = 25.9 inches
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
volume of a hemisphere =[tex]\frac{2}{3}[/tex] πr³
=[tex]\frac{2}{3}[/tex] × 3.14 ×25.9³
=[tex]\frac{2}{3}[/tex] × 3.14×17373.979
≈36369.5 in³ to the nearest tenth cubic inch.
volume of a hemisphere ≈ 36369.5 in³
Answer:
36388.0 in3
Step-by-step explanation:
I just did it and I got it right
Click on the measure that is equivalent to 5 meters.
0 50 centimeters
50 millimeters
0 500 millimeters
0 500
centimeters
Answer:
500 cm
Step-by-step explanation:
100 cm is equal to 1 meter. *5 is 5 meters or 500 cm
Sorry if I'm wrong. I don't think I am but there is always a possibility
Answer:
Step-by-step explanation:
100cm = 1 meter so therefore 5 meters = 500cm
Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Trisha on a new handbag. Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen. How much money did their mom spend on the espresso machine?
Answer:
$113.50
Step-by-step explanation
add $15.60 + $29.80 = $45.40multiply $45.40 x 2.5 = $113.50
The amount of money there mom spent on the expresso machine is $113.5
How to form equation and solve for the variable?Trisha spent $15.60 on a pair of sunglasses.
Malia spent $29.80 more than Trisha on a new handbag.
Therefore,
Malia expenses = 29.80 + 15.60 = $45.4
Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen. Therefore,
Mom expenses = 2.5(45.4)
Mom expenses = $113.5
Therefore, there mom spent a total of $113.5 on the expresso machine
learn more on equation here: https://brainly.com/question/21506399
will mark bianleast
What are the diameter and radius of a circle with a circumference of 32π ft?
d = 32 ft
r = 16 ft
d = 8 ft
r = 16 ft
d = 16 ft
r = 8 ft
d = 16 ft
r = 32 ft
Answer:r=16 ft , d =32 ft (a)
Step-by-step explanation:
c=2 pi r
32pi= 2 x pi x r
r=32 pi/2pi
r= 16
diameter = radius x 2
d= 16 x 2
d = 32
This green rug has a perimeter of 36 feet. The length is 3 + x and the width is 5. Write an expression that can be used to find the missing value of x. Combine like terms of your equation until it is the most simplified form. What is the value of x? Explain your reasoning.
Answer:
An equation for this would be : 36=3+x+3+X+5+5
the simplified version would be: 20=2x
The value of x = 10 feet
Step-by-step explanation:
Since perimeter is all the sides added together, and 36 ft is the perimeter,
think of a rectangle, 2 sides would be 3+x and the other 2 would be 5.
thus,
36=3+x+3+x+5+5
now add all like terms and you get 36=16+2x
subtracting 16 on both sides,
20=2x
dividing by 2 both sides,
x=10 feet.
PLEASEEEE HELPP!!!!!!!
Answer:
im not sure but 36
Step-by-step explanation:
If f(x) = 3x2 + 2 and g(x) = -5x +3, find f(g(x)).
PLEASE HELP ME
Answer:
Option 2: 75x^2 -90x + 29
Step-by-step explanation:
f(g(x))
f(-5x+3) = 3(-5x+3)^2 + 2
= 3 (25x^2 - 30x +9) +2
= 75x^2 - 90x+ 27 + 2
f(g(x)) = 75x^2 - 90x + 29
helppp me its due today
Answer:
66.04
Step-by-step explanation:
0.13 * 508 = 66.04
Answer:
Step-by-step explanation:
508/x=13/100
508*100=50800
50800/3=?
now do that and simplify
Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2
A.
17
B.
-5
C.
9
D.
7
Answer:
D
Step-by-step explanation:
parenthesis
exponents
multiply or divide from left to right
add or subtract from left to right
14 - 8 + 6 - 5
6 + 6 - 5
12 - 5
7
Answer:
D. 7
Step-by-step explanation:
PEMDAS
there arent parentheses, exponets or multiplication but the is division
so divide first
14-8+6-5
Next subtract
6+6-5
then subtract from left to right
12-5
7
Please Explain step - by - step!
Answer:
use PEMDAS
Step-by-step explanation:
start with doing what's in the parenthesis 3+2 = 5
7+4^3-3-5^2
then do ur exponents
7+64-3-25
then do you addition and subtraction left tto right
71-3-25
68-25
43
ur answer is 43
Did I do this right not asking for answer unless I got it wrong
yes its right
there no need to ask any way
Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=-3x^2 +75f(x)=−3x 2 +75f, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 75 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals
Answer:
Smaller x= -5Larger x=5Step-by-step explanation:
Given the function [tex]f(x)=-3x^2 +75[/tex]
The zeros of the function are the values of x for which f(x)=0.
[tex]f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5[/tex]
The zeros of f(x) are therefore 5 and -5.
Smaller x= -5Larger x=5
Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown.
4.2x + 3 + 5.7x – 2 + 5 – 2.6x
4.2x + 5.7x + 2.6x + 3 – 2 + 5
(4.2 + 5.7 + 2.6)x + 3 – 2 + 5
12.5x + 6
Answer:
He used the commutative property incorrectly.
Step-by-step explanation:
Answer:
a is correct
Step-by-step explanation:
Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
Missing Part of the Question
3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5Answer:
2y + 7 + y - 2 + y; 4y + 5Step-by-step explanation:
Given
y = 3
Required
Which pair of expression are equal
To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions
3 (4 - y) -7 and 5 + 3y
Substitute 3 for y in 3 (4 - y) -7
This gives 3(4 - 3) -7
= 3(1) - 7
= 3 - 7
= -4
Then Substitute 3 for y in 5 + 3y
This gives 5 + 3(3)
= 5 + 9
= 14
-4 and 14 are not equal
---------------------------------------------------------------------------------------
9 + y + 4y - 2 - 3y; -2y + 7
Substitute 3 for y in 9 + y + 4y - 2 - 3y
This gives 9 + 3 + 4(3) - 2 - 3(3)
= 9 + 3 + 12 - 2 - 9
= 13
Then Substitute 3 for y in -2y + 7
This gives -2(3) + 7
= -6 + 7
= 1
13 and 1 are not equal
---------------------------------------------------------------------------------------
5 + y - 2 - 6y + y; 8y + 3
Substitute 3 for y in 5 + y - 2 - 6y + y
This gives 5 + 3 - 2 - 6(3) + 3
= 5 + 3 - 2 - 18 + 3
= -9
Then Substitute 3 for y in 8y + 3
This gives 8(3) + 3
= 24 + 3
= 27
-9 and 27 are not equal
---------------------------------------------------------------------------------------
2y + 7 + y - 2 + y; 4y + 5
Substitute 3 for y in 2y + 7 + y - 2 + y
This gives 2(3) + 7 + 3 - 2 + 3
= 6 + 7 + 3 - 2 + 3
= 17
Then Substitute 3 for y in 4y + 5
This gives 4(3) + 5
= 12 + 5
= 17
17 and 17 are equal
Hence, Option D is correct
Answer: 2y + 7 + y - 2 + y; 4y + 5
Step-by-step explanation: just did it
HELP ME PLEASEEEE :,(
Step-by-step explanation:
[tex]{a}^{2} = b + 6 [/tex]
[tex]b = {a}^{2} - 6[/tex]
4
A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses are displayed on the line plot. What fraction of the stores have or less of their products on sale?
Mall Stores Sale Items
A.
B.
C.
D.
Answer:
its 1/2
Step-by-step explanation:
people stop putting answer if your not sure you just want points
Write 3 tenths and 9 hundredths as a decimal
Answer:
0.39
Step-by-step explanation:
1 tenth: 1/10 = 0.1
1 hundredth = 1/100 = 0.01
3(0.1) + 9(0.01)
0.3 + 0.09
0.39
A system of equations is given.
y= x^2 −9
y= −2x−1
What is one solution to the system of equations?
Answer:
(-4,7)
Explanation:
I graphed the two equations with a graphing tool.
The first equation forms a parabola.
The second equation is linear.
The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).
Answer:
(- 4, 7 ) and (2, - 5 )
Step-by-step explanation:
Given the 2 equations
y = x² - 9 → (1)
y = - 2x - 1 → (2)
Substitute y = x² - 9 into (2)
x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )
x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )
need this done as soon as possible pls help
Answer:
it should be 1.5 inches.....
Help me please!!!!!!!!
Answer:
D y= ax^2 + bx+c = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx+c = 0
x = -b/2a is the equation for the line of symmetry
a quadratic is a parabola, but that is not the standard form
vertex is the minimum or maximum of the parabola
Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)
Answer:
Step-by-step explanation:
A
The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.
We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).
The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.
Using these numbers, we can express the quadratic expression as:
x² - 5x + 4 = (x - 1)(x - 4)
Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
Learn more about quadratic expression click;
https://brainly.com/question/10025464
#SPJ6
A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.
5.16 mm; 10.31 mm
10.31 mm; 5.16 mm
5.16 mm; 2.58 mm
2.58 mm; 5.16 mm
Answer:
5.16 mm; 10.31 mm
Step-by-step explanation:
Circumference: [tex]C = 2\pi r[/tex]
So all you do is:
[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]
and then the radius is just half of the diameter so
[tex]5.16*2=10.31[/tex]
pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at:
A (-2,1)
B (3,-11)
C (-2,-23)
D (-7,-11)
How many miles will pi drive if he starts at pole A and drives around the entire border of the field?
(please show the work)
Answer:
52 miles
Step-by-step explanation:
A to B:
sqrt( (3 - (-2))^2 + (-11 - 1)^2 )
sqrt( (5)^2 + (-12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
B to C:
sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )
sqrt( (-5)^2 + (-12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
C to D:
sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )
sqrt( (-5)^2 + (12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
D to A:
sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )
sqrt( (5)^2 + (12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
Adding:
13 + 13 + 13 + 13
52
A.) $203,000.00
B.) $177,000.00
C.) $207,000.00
D.) $197,000.00
Swell Computers is preparing to market a new microchip to upgrade computers already purchased by consumers. Management sees a huge potential for sales since people will not have to purchase a whole new computer system to have access to the latest technology, just this chip. The company has already determined that it can produce these chips for $8 each, with a $5000 start-up cost. Projections indicated that sales of x chips will generate a revenue of R(x)=200x-0.01x^2. How much profit do they hope to make on the first 1000 chips sold?
Answer:
A?
Step-by-step explanation:
Our school gets $100,000 in donations from celebrities to buy Chromebooks for class learning. Each Chromebook costs $385 plus $20 insurance. what is the maximum number of Chromebook that we can buy for our students?
Answer: 246 laptops.
Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.
pls help me ou i need to turn this in pls pls
Answer:
3
Step-by-step explanation:
If each square unit represents 3 square feet what is the area of the patio in square feet
Answer:
563
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLIEST!!
Answer:
The answer is [9, 5, -4, 12]
Step-by-step explanation:
1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.
2) your right side should now have the numbers, 6, 0, -3, 12.
3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12
Hope this helps :)
Explain how to determine if the two expressions are
equivalent using x = 6 and x = 10.
8x + 40
8(x + 5)
Answer:
If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.
Step-by-step explanation:
got it right!
The two expressions are equivalent.
Important information:
The given expressions are [tex]8x+40[/tex] and [tex]8(x+5)[/tex].The given values are [tex]x=6[/tex] and [tex]x=10[/tex].Equivalent Expressions:The values of both expression for [tex]x=6[/tex] are:
[tex]8(6)+40=48+40[/tex]
[tex]8(6)+40=88[/tex]
And
[tex]8(6+5)=8(11)[/tex]
[tex]8(6+5)=88[/tex]
The values of both expression for [tex]x=10[/tex] are:
[tex]8(10)+40=80+40[/tex]
[tex]8(10)+40=120[/tex]
And
[tex]8(10+5)=8(15)[/tex]
[tex]8(10+5)=120[/tex]
Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.
Find out more about 'Equivalent Expressions' here:
https://brainly.com/question/10628562
The temperature in Petersburg was recorded over a period of four
hours. The equation y= - 4x +35 describes the temperature over
this time, where y is the temperature in degrees Fahrenheit (°F) and x
is the number of hours since measurements started. Which of the
following statements correctly describes the temperature?
of QUESTIONS
It was -4°F when the temperature was first measured, and it is rising by
35 degrees per hour.
It was -4°F after four hours, and it is rising by 35 degrees per hour.
It was 35°F after four hours, and it is dropping by 4 degrees per hour.
It was 35°F when the temperature was first measured, and it is dropping
by 4 degrees per hour.
Answer:
x = 35/4
Step-by-step explanation:
Which three programs or services are supported by taxes?
1. Fire Departments
2. Medicare
3. Public Education
4. Shopping Malls
5. Theaters
Answer:
Fire departments, Medicare, and public education.
Step-by-step explanation: