Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
PLS ANSWER I HAVE TO FINISH MY TEST BY THE END OF CLASS WHICH IS IN 5 MIN!!! I WILL GIVE BRAINLIST!!!!!!
Geno invested $2,000 into an account that earns 8.5% interest compounded annually. How much interest will Geno earn after 3 years?
A. $554.58
B. $513
C. $2,513
D. $2,554.58
Answer:
8.5% interest would yield $170 annually for a total interest earnings of $513
Step-by-step explanation:
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
u = ⟨2, –3⟩v = ⟨1, –1⟩[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
Next, find the lengths of the vectors:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
u = ⟨2, –3⟩
[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]
[tex]=\sqrt{13}[/tex]
u = ⟨2, –3⟩
[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]
[tex]=\sqrt{2}[/tex]
Finally, the angle is given by:
[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
The Answer is A. 11.3
Step-by-step explanation:
got it right. Also thats just the letter answer :)
code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution
Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]What is 80% as a fraction in reduced form? 4 118 * 10 O
Answer:
4/5 make me brainliest
Step-by-step explanation:
Answer:
B. 4/5
Step-by-step explanation:
We know that 80% as a fraction is 8/10, but that is not simplified. Both of the numbers have a common factor. We need to divide both by the GCF (Greatest Common Factor). The GCF of both numbers is 2. 8/2 is 4, and 10/2 is 5. That means the answer is 4/5. I hope this helps!
What is percent decrease 2.26 to 0.98
Write the slope-intercept form of the following equation. Y +
2 = 3/2(x-4)
Answer:
y=3/2x-8
Step-by-step explanation:
Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.
Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.
189 is 90% of what number
Answer:
I believe the answer is 210.
Step-by-step explanation:
Answer:
Assume the unknown value is 'Y'
189 = 90% x Y
189 =
90
100
x Y
Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:
Y = 3 x
100
90
Y = 210%
Answer: 189 is 90 percent of 2
Step-by-step explanation:
theres a another way
189x100÷90 which your answer will give 210
Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)
Plz help I am getting timed
Answer:
4 hope this helps!
Step-by-step explanation:
Jada's house is 3 and 2/5 miles from the library. Solve the equation to determine how long it will take her to walk from her house to the library if she walks at a steady speed of 4 miles per hour.
Time = distance / speed
Time = 3 2/5 miles / 4 miles per hour
Time = 17/5 / 4
Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours
17/20 hours x 60 minutes per hour = 51 minutes.
If you are framing a photo that is 4in by 7 in, and you want the frame to be the same width all around, and the total area of the frame and the photo is 130in squared, what is the width of the photo?
Answer:
3.36in
Step-by-step explanation:
The total surface area of the cardboard is expressed as;
TSA = 2(LW + LH + WH)
L is the length = 4in
W is the width
H is the height = 7in
TSA = 130in²
Substitute the given values into the formula and get the width W
TSA = 2(LW + LH + WH)
130 = 2(4W+4(7) + 7W)
130 = 2(11W+28)
130 = 22W+56
22W = 130 - 56
22S = 74
W = 74/22
W = 3.36in
hence the width of the photo is 3.36in
Which of the following does not have the same value as 15 ^6
Answer:
B
Step-by-step explanation:
(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6
I’ll mark you brainlist
Answer:
3
Step-by-step explanation:
Y OVER X is the answer .
function: f(x) = 2x + 1
It x = 0, what is the y output?
Answer:
1
Step-by-step explanation:
i think i helped successfully
Answer:
y= 1
Step-by-step explanation:
In the equation, the 1 means that it's the y-intercept
And whenever x is 0, then the y value is the y-intercept
So since x=0, then y=1
PLEASE HELP ME ASAP IM REALLY CONFUSED!!!
Answer:
AB and DE's length are congruent, meaning they are the same.
Step-by-step explanation:
If we made a line between C and F, and flip it on the other side. We would see it is congruent.
Mrs. Smith spent $67.40 on groceries. The tax rate is 2%. What is the amount of sales tax?
Answer:
68.75
Step-by-step explanation:
to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35
so the total for just tax is 1.35 so you add that to how much the groceries were originally
67.40+1.35=68.75
Which graph represents the equation y = 3/4 x - 3
Answer:
Step-by-step explanation: you forgot to attach the file but it should look like this i think
Answer:
slope is 3/4
y-intercept is (0,-3) Thats where you put your first point on the y-inter on -3
x y
0 -3
4 0
Put your second point at 4 (on the x)
then your slope is rise /run 3/4
then you should get your line on your graph
Step-by-step explanation:
Question 5
On problem #18, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation
Can someone please please please help me!
A reflection changes the shape of a figure.
True
False
Answer:
False
Step-by-step explanation:
A reflection does not change the shape of a figure.
For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)
Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol
Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Aprende más en https://brainly.com/question/22918730
determine the type of triangle
We need help and we don’t now what we are doing
Answer:
The second, third, and fifth one.
Step-by-step explanation:
Home this helps
All of the students in the sixth grade either purchased their lunch or brought their lunch from home on Thursday.
65% of students purchased their lunch
63 students brought their lunch from home
How many students are in the sixth grade?
O A 98
B. 106
O C. 180
D. 240
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Show Your Work
Answer:
131.25 miles.
Step-by-step explanation:
if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.
The actual distance between two cities is 131.25 miles.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The scale of a map,
1 inch = 25 miles,
Also, the distance between two cities on the map is 5.25 inches.
To find the actual distance in miles.
Use ratio method,
1 inches = 25 miles,
5.25 inches = 25 x 5.25 miles
= 131.25 miles
The actual distance between cities is 131.25 miles.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?
A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters
Step-by-step explanation:
I believe it will be B. -318 meters
not entirely sure but that's what I think so hope this help and sorry if I'm wrong
96 =-8(p-5)
help pls
Answer:
p = −7
Step-by-step explanation:
96=−8(p−5)
96=(−8)(p)+(−8)(−5)(Distribute)
96=−8p+40
Step 2: Flip the equation.
−8p+40=96
Step 3: Subtract 40 from both sides.
−8p+40−40=96−40
−8p=56
Step 4: Divide both sides by -8.
−8p /−8 = 56 /−8
A plane is 20,000 ft. In the air and descending at a rate of 25 ft. Per minute. Write an equation to represent this situation where y is the height of the plane after x minutes.
Answer:
y=20000-25xStep-by-step explanation:
Step one:
given data
initial height of plane= 20000ft
rate of descending= 25ft per minute
let x be the number of minutes it took the plane to descend
and let y be the height after x minutes
Step two:
Required
the mathematical expression for the height
the expression for the situation mathematically is
y=20000-25x
can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
have a great day
:)
graph the inequality y is greater then or equal to 3x-1
WILL MARK BRANLIEST
(also ik that i could used the inequality sign but it won't let me type it into the question)
i just need to know the ordered pairs pls help
Answer:
Ok so its (0,-1),(0.333,0)
Step-by-step explanation: