Answer:
1. 17 whole cans
2. Yes, 38.65 in2 of metal
Step-by-step explanation:
First we need to find the surface area of the can.
The base and the top of the can have a area of pi*r^2.
If the radius is half the diameter, we have r = 3/2 = 1.5 inches, so:
A1 = pi * 1.5^2 = 7.069 in2
The side of the can has a area of pi*d*h. If the diameter is 3 inches and the height is 4.5 inches, we have:
A2 = pi*3*4.5 = 42.412 in2
So the total area of the can is:
2*A1 + A2 = 56.55 in2
To know how many cans we can make with 1000 in2 of metal, we just need to divide the total metal for the surface area of each can:
number of cans = 1000 / 56.55 = 17.684 cans
We can make 17 cans, and the metal left over is 1000 - 17 * 56.55 = 38.65 in2
I need help please?!!!!
Answer: The answer would be .03 or A.
Step-by-step explanation: You add all of the marbles up to get a total of 10 then you divide 10 by 3 and you get 3.333333333 but then you just take off the 3 before the decimal. DONT USE THIS ON ANY OTHER EQUATIONS!!! This only happens to work with this equation!!!
A gym charges a $615 yearly fee for membership plus $50 for each hour of personal training. What is the average total cost per hour of training if a member works with a personal trainer for 30 hours in a year? Do not include the dollar sign ($) in your answer.
Answer:
The average total cost per hour of training is $70.5
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
m is the average rateb is the initial value∵ The gym charges a $615 yearly fee for membership plus
$50 for each hour of personal training
- That means the initial amount is 615 and the average rate is 50
∴ m = 50 dollars per hour
∴ b = 615 ⇒ fixed fee
- Substitute m and b in the form of the linear function
∴ c(x) = 50 x + 615, where c(x) is the cost per year for x
training hours
∵ A member works with a personal trainer for 30 hours in a year
- That means x = 30
∴ x = 30
- Find the total cost of this year by substituting x by 30
∴ c(30) = 50(30) + 615
∴ c(30) = 1500 + 615
∴ c(30) = 2115
∴ The total cost of this year is $2115
To find the average cost per hour divide the total cost by the number of the training hours
∵ Average cost per hour = 2115 ÷ 30
∴ The average cost per hour = 70.5 dollars
∴ The average total cost per hour of training is $70.5
Based on the number of hours and the cost per hour of using the trainer, the average cost per hour is $70.50 per hour.
First find the total cost of using a trainer for 30 hours.
= Fixed membership cost + (Cost per hour x Number of hours)
= 615 + (50 x 30)
= $2,115
The total cost for the year is $2,115.
The average cost per hour will be:
= Total cost / Number of hours
= 2,115 / 30
= $70.50
In conclusion, the total average cost per hour is $70.50.
Find out more at https://brainly.com/question/24157928.
Does anyone get this??
Answer:
The distance from the feet to the wall is 9 ft
Step-by-step explanation:
Using trig,
We must use cosine to find the missing side.
The equation is cos 60 = [tex]\frac{adjacent}{18}[/tex]
The cosine of 60 is 1/2
So, we multiply 1/2 by 18
to get 9
Hope this helps!
Branliest would really be nice!
Which inequality statement describes the two numbers on a number line?
"−7 and a number 5 units to the right of −7"
A) 5 < −7
B) 5 > −7
C) −7 > −2
D) −7 < −2
Answer:
Option C)
[tex]-7<-2[/tex]
Step-by-step explanation:
We are given the following in the question:
"-7 and a number 5 units to the right of -7"
The nubmer 5 units to the right of -7 will be:
[tex]=-7 + 5\\=-2[/tex]
The number line shows the two marked points.
As observed from the number line, we can write the inequality:
[tex]-7<-2[/tex]
Thus, the correct option is
Option C)
[tex]-7<-2[/tex]
Answer:
its d not c so -7<-2 is the awnser
"Lashonda swam 4 kilometers against the current in the same amount of time it took her to swim 16 kilometers with the current. The rate of the current was 3 kilometers per hour. How fast would Lashonda swim if there were no current?"
Answer:
5 km/h
Step-by-step explanation:
In this problem, Lashonda swam 4 km against the current. So the distance covered in this case is
[tex]d_1=4 km[/tex]
Calling [tex]v[/tex] the velocity of Lahonda without the current, and [tex]c[/tex] the velocity of the current, in this situation Lahonda's velocity is
[tex]v-c[/tex]
So we can write:
[tex]t_1=\frac{d_1}{v-c}[/tex]
where [tex]t_1[/tex] is the time taken to cover the distance.
When Lashonda swims with the current, her velocity is
[tex]v+c[/tex]
So we can write
[tex]t_2=\frac{d_2}{v+c}[/tex]
where
[tex]d_2=16 km[/tex] is the distance covered in this case, and [tex]t_2[/tex] the time taken.
The velocity of the current is
[tex]c=3 km/h[/tex]
Since Lashonad takes the same time to cover the two distances,
[tex]t_1=t_2[/tex]
So we can write
[tex]\frac{d_1}{v-c}=\frac{d_2}{v+c}[/tex]
And solving for v, we find Lashonda's velocity without the current:
[tex]d_1(v+c)=d_2(v-c)\\d_1 v+d_1c = d_2v-d_2c\\v(d_2-d_1)=c(d_1+d_2)\\v=\frac{d_2+d_2}{d_2-d_1}c=\frac{16+4}{16-4}(3)=5 km/h[/tex]
Final answer:
To find Lashonda's swimming speed without the current given the rate of the current and the distances swam with and against it.
Explanation:
The rate of the current is 3 kilometers per hour. To find the speed of Lashonda without the current, we can set up equations using the formula: speed = distance/time.
Let's denote Lashonda's speed in still water as x kilometers per hour. When swimming against the current, her effective speed is x - 3 km/h, and when swimming with the current, her effective speed is x + 3 km/h.
By setting up and solving the equations, we find Lashonda's speed without the current is 9 kilometers per hour.
Find the value of the expression
Answer:
The answer to your question is the letter C.
Step-by-step explanation:
Data
sin Ф = 1/5
cos Ф = ?
To solve this problem use trigonometric functions.
1.- The first condition is that the angle must be in the first quadrangle
(0° < Ф < 90°).
2.- Write the trigonometric function sine.
sin Ф = Opposite side / hypotenuse and sin Ф = 1/5
then, Opposite side = 1 hypotenuse = 5
3.- Use the Pythagorean theorem to find the adjacent side.
Hypotenuse² = Opposite side² + Adjacent side²
-Solve for Adjacent side
Adjacent side² = Hypotenuse² - Opposite sie²
-Substitution
Adjacent side² = 5² - 1²
-Simplification
Adjacent side² = 25 - 1
Adjacent side ² = 24
Adjacent side = √24
4.- Find the cosФ
cos Ф = Adjacent side/hypotenuse
-Substitution
cosФ = √24 / 5
In this circle, AB is tangent to the circle at point B, AC is tangent to the circle at point C, and point D lies on
the circle. What is m BAC ?
a. 264
b. 84
c. 96
d. 90
Answer:
c. 96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
does x^2-6x+3 have solutions that are real numbers
Answer:
X=10.8 and X=1.1
Step-by-step explanation:
Δ= b^2-4ac
= (-6)^2-4(1)(3)
=24
X1=
[tex] \frac{6 + \sqrt{24} }{ {1}^{2} } [/tex]
=10.8
X2=
[tex] \frac{6 - \sqrt{4} }{ {1}^{2} } [/tex]
=1.1
Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angles 1, 2, 3 and the bottom triangle has angles 4, 5, 6. Which angle is congruent to Angle 4? Angle 1 Angle 2 Angle 5 Angle 6
Answer:
The line that is congruent to angle 4 is angle 1
hope this helped :)
Angle 4 is congruent to Angle 2 because they are alternate interior angles formed by the transversal intersecting two parallel lines.
Given that lines k and l are parallel, and lines m and n intersect to form two triangles, we need to determine which angle is congruent to Angle 4.From geometry, we know that alternate interior angles are congruent when two parallel lines are cut by a transversal. Here, lines m and n intersecting parallel lines k and l can be visualized as forming such alternate interior angles.Since Angle 4 is within the lower triangle, the angle in the upper triangle that is on the 'opposite' side of the transversal, corresponding to the same spot, is Angle 2.Congruence of Angles
Angle 4 ≈ Angle 2 (alternate interior angles)
A sign at the store says that all music equipment has been marked down 30% off the original price. You buy an electric guitar for the sale price of $315. What was the original price?
Find two natural numbers whose product
is 50 and whose sum is 27.
Answer:
25 & 2
Step-by-step explanation:
What is the median of 4,3,5,9,3,4
Answer:
THE ANSWER IS 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3, 3, 4, 4, 5, 9
The median is 4
What are the lengths of the sides of the right triangle
that is formed? Check all that apply.
h
K
h-k
x-h
y-k
The answer is third one and last one
Answer: the answer is x-h and y-K
Step-by-step explanation:
This represents the side lengths of the right triangle that is formed
Australian glitter ants reproduce so that their population doubles every 15 days. If there are 3 ants initially, the equation is represented by y=3(2)^t/15, where t represents the number of days. Rewrite the equation in the form y=a(1+r)^t and find the daily increase rate represented by r.
Answer:
4.73%
Step-by-step explanation:
y = 3×2^(t/15) = 3×(2^(1/15))^t = 3×1.0472941^t
In this form, ...
1 +r = 1.0472941
r = .0472941 ≈ 4.73%
The daily increase is about 4.73%.
Any help is appreciated! Question in picture.
Answer:
Step-by-step explanation:
1.65
Answer:
1.65
Step-by-step explanation:
choose $16.50 / 10 pounds = $1.65
Which point is the center of the circle defined by the equation 2+(−9)2=81 x 2 + ( y − 9 ) 2 = 81 2+(−9)2=81 x 2 + ( y − 9 ) 2 = 81 Group of answer choices (0, -9) (-9, 0) (0, 9) (9, 0)
Answer:
(0, 9)
Step-by-step explanation:
The circle defined by the equation ...
(x -h)^2 +(y -k)^2 = r^2
has its center at (h, k).
We think your circle's equation is ...
x^2 + ( y − 9 )^2 = 81
so it would have its center where h = 0 and k = 9.
The center is (0, 9).
_____
Comment on the question
Sometimes, copying and pasting seems to cause things to be repeated 3 times, usually in different formats. It would be nice to have one clean copy of the equation, so we can easily tell what it is supposed to be. Editing may be required, to make sure all necessary math symbols are included.
Answer:
the whitebord is cool
Step-by-step explanation:
fun cool! 1234567890
The area of a trapezoid is 322m2 one base is 12m and the height 14m what is the measure of the other base
Answer:
b = 34m
Step-by-step explanation:
Answer:
Depends on which base you mean, the longer base would be b=41.67
The shorter base would be a=39.67
Hope this helps :)
Determine o período, a imagem e construa o gráfico de cada uma das funções abaixo: a) f(x) = 3sen(x) b) f(x) = 1 - sen(3x) c) f(x) = -1+2sen(0,5x)
Answer:
Please read the answer below
Step-by-step explanation:
The general form of a sinusoidal function is given by:
[tex]f(x)=Asin(\omega x)[/tex] (1)
where A is the amplitude, and the period is given by:
[tex]T=\frac{2\pi}{\omega}[/tex]
The image of a function is the available values of the function f(x) in the domain of f(x). For sinusoidal function the image of f(x) is determined with the aid of the amplitude. For example, in the case of (1), f(x) varies from -A to A.
Due to the information given above you have (the plots are attached below):
a)
[tex]f(x)=3sin(x)\\\\T=\frac{2\pi}{1}=2\pi\\\\Im\ f(x)=[-3,3][/tex]
b)
[tex]f(x)=1-sin(3x)\\\\T=\frac{2\pi}{3}\\\\Im\ f(x)=[0 \ ,2][/tex]
in the last case the first term of f(x) modifies the image of f(x) because the sinusoidal function is displaced to y=1.
c)
[tex]f(x)=-1+2sin(0.5x)\\\\T=\frac{2\pi}{0.5}=4\pi\\\\Im\ f(x)=[-3,1][/tex]
Which of these is equal to 50 + 21?
The question is asking for the sum of 50 and 21. This is a mathematical operation known as addition. Following the steps of addition, the sum of 50 and 21 equals 71.
Explanation:The question is essentially asking for the sum of 50 and 21. In Mathematics, when we talk about 'equal to', we are referring to the result of an equation or mathematical operation.
So, to find out what is equal to 50 + 21, you simply add these two numbers together. The process is as follows:
Start by lining up the numbers by their place value.Add the ones place (0 + 1).Then, add the tens place (50 + 20).
After following these steps, you will find that 50 + 21 equals 71.
Learn more about Addition here:https://brainly.com/question/35006189
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Mrs. Wilton is planning a rectangular flower box for her front window. She wants the flower box to hold exactly 16 cubic feet of soil.How many flower boxes with different-size bases will hold exactly 16 cubic feet of soil, using whole-number dimensions?flower boxes with different-size bases will hold exactly 16 cubic feet of soil. please no fake answers or you not getting nothing
There are 4 different flower boxes with different-size bases that can hold exactly 16 cubic feet of soil when using whole-number dimensions. These consist of dimension combinations of 1x1x16, 1x2x8, 1x4x4, and 2x2x4 feet.
Mrs. Wilton is planning a rectangular flower box that should have a volume of 16 cubic feet. To find how many flower boxes with different-size bases can hold exactly 16 cubic feet of soil, we need to find all the possible combinations of whole-number dimensions (length, width, and height) that when multiplied together equal 16 cubic feet. We must remember that volume is calculated as Length x Width x Height. Since 16 is the volume in cubic feet, we look for whole-number factors of 16.
Here are the possible whole-number dimension sets (in feet) for a volume of 16 cubic feet:
1 x 1 x 16 (Height can be 1, 16, or any factor of 16)
1 x 2 x 8 (Height can be 2, 8, or any factor of 16)
1 x 4 x 4 (Height can be 4 or any factor of 16)
2 x 2 x 4 (These dimensions are interchangeable)
Each of these dimensions gives a different base size for the flower box, and all ensure the volume is 16 cubic feet. Thus, there are 4 different flower boxes with different-size bases that will hold exactly 16 cubic feet of soil.
If f(x) = 2(3x) + 1, what is the value of f(2)?
Answer:
when x is 2. f(2)=3(2)+1. f(2)=6+1. f(2)=7.
Step-by-step explanation:
Jami is keeping track of the weather for a class project she recorded data on 16 days out of 16 days 1/4 were clear blue skies how many days had clear blue skies
Answer:
4 days
Step-by-step explanation:
She recorded date for 16 days, and 1/4 of the days were clear blue skies.
One way to find this is to multiply 16 and 1/4
16*1/4=4
Another way is to first convert 1/4 to a decimal
1/4=0.25
Then multiply 16 and 0.25
16*0.25 =4
So, 4 out of 16 days had clear blue skies
A 92.0 kg football player at 6.50 m/s North collides with an 85.0 kg football player running at 6.00 m/s south. The 92.0 kg football player continues moving at a velocity of 2.00 m/s after the collision. What is the velocity of the 85.0 kg football player after the collision?
Answer:
-1.13 m/s
Step-by-step explanation:
Parameters given:
Mass of first footballer, M = 92 kg
Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)
Mass of second footballer, m = 85 kg
Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)
Final velocity of first footballer, V = 2.0 m/s
We need to find the final velocity of the second football (v)
Applying the principle of conservation of momentum, we have that, in a system:
Total Initial Momentum = Total Final Momentum
(M * U) + (m * u) = (M * V) + (m * v)
(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)
598 - 510 = 184 + 85v
88 = 184 + 85v
88 - 184 = 85v
-96 = 85v
=> v = -96 / 85
v = -1.13 m/s
The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South
Final answer:
To find the unknown velocity of the 85.0 kg football player after the collision, we use the conservation of momentum, setting up an equation based on the initial and final momenta of both players and solving for the unknown velocity.
Explanation:
The question concerns the topic of conservation of momentum during a collision between two football players, which falls under the category of Physics. To solve for the velocity of the 85.0 kg football player after the collision, we can use the principle that the total momentum before the collision is equal to the total momentum after the collision in an isolated system.
The total momentum before the collision can be calculated as follows:
Momentum of the 92.0 kg player = mass × velocity = 92.0 kg × 6.50 m/s (North).
Momentum of the 85.0 kg player = mass × velocity = 85.0 kg × 6.00 m/s (South).
Since they are moving in opposite directions, we assign a positive direction (e.g., north) as positive momentum and the opposite direction (south) as negative momentum.
The total momentum after the collision consists of:
Momentum of the 92.0 kg player = 92.0 kg × 2.00 m/s (North).
Momentum of the 85.0 kg player = 85.0 kg × v (where v is the unknown velocity).
By applying the conservation of momentum, we can write the equation:
(92.0 kg × 6.50 m/s) + (85.0 kg × -6.00 m/s) = (92.0 kg × 2.00 m/s) + (85.0 kg × v).
Solving for v gives:
v = [(92.0 kg × 6.50 m/s) - (92.0 kg × 2.00 m/s) - (85.0 kg × -6.00 m/s)] / 85.0 kg.
Calculate the value to find the final velocity of the 85.0 kg player.
v = 10.87 m/s
The net below can be folded to form a square pyramid.
A square pyramid. The square base has side lengths of 9 inches. The triangular sides have a height of 6.1 inches and side length of 7.6 inches.
What is the surface area of the pyramid?
190.8 square inches
217.8 square inches
300.6 square inches
354.6 square inches
Answer:
190.8 square inches
Step-by-step explanation:
The area of one of its triangular sides is given by A = bh/2 were b = base = 9 inches and h = perpendicular height = 6.1 inches.
A = bh/2. Since we have 4 triangular sides, the total area of its sides A₁ = 4A = 4bh/2 = 2bh = 2 × 9 × 6.1 = 109.8 square inches.
The area of is base is the area of a square = 9² = 81 square inches.
So te total surface area is 109.8 square inches + 81 square inches = 190.8 square inches
Answer:
190.8
Step-by-step explanation:
out of 40 students In a class7 20% were absent how many students were present
Answer:
8 were absent
Step-by-step explanation:
20% of 40 is 8
Answer:
32 students were present
Step-by-step explanation:
total students =40
absent percent=20%
present percent= 100-20
=80%
total present student =80%of 40=32
The rectangle below has an area of 81-x^2 square meters and a width of 9-x meters. What expression represents the length of the rectangle?
For this case we have that by definition, the area of a rectangle is given by:
[tex]A = w * l[/tex]
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the data of the statement we have:
[tex]A = 81-x ^ 2\\w = 9-x[/tex]
So, the length is given by:
[tex]l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}[/tex]
We factor the numerator:
[tex]l = \frac {(9 + x) (9-x)} {9-x}[/tex]
We simplify:
[tex]l = 9 + x[/tex]
So, the length is [tex]9 + x[/tex]
Answer:
[tex]9 + x[/tex]
9. Betsy's softball team won 47 games, lost
15 games, and tied none. What fractional
part of the games played did the team
win?
Answer:
47/62
Step-by-step explanation:
62 total games won 47 therefore 47/62
Final answer:
The fractional part of the games won by Betsy's softball team is 47/62, representing the number of games won out of the total games played.
Explanation:
To calculate the fractional part of the games won by Betsy's softball team, you need to divide the number of games won by the total number of games played. The team won 47 games and lost 15 games, giving a total of 47 + 15 = 62 games played.
The fraction representing the part of the games won is therefore 47/62. When simplified, this fraction may be reduced to a simpler form by finding the greatest common divisor and dividing both the numerator and the denominator by it. However, as 47 is a prime number and does not divide evenly into 62, the fraction can't be simplified further. Therefore, the fractional part of the games won by the team is 47/62.
Determine which of the following graphs does not represent a function.
(Help me ASAP)
Answer:
D
Step-by-step explanation:
one way to determine whether or not something is a function is to use the vertical line test
You can draw vertical lines all along the figure and if the same vertical line touches 2 parts of the graph we know this is not a function due to there being 2 outputs for the same x value
d is a vertical line and therefore will not pass this test
A race is 9/10 kilometers long. Lamar ran 2 of these races . How far did he run together?
Answer:
1.8
Step-by-step explanation:
9/10 times 2 equals 1.8
/Answer:
The answer would be 18/10.
Step-by-step explanation:
This is because when you add fractions with common denominators, like 9/10+9/10, you don't add the denominators. But if you multiply 9/10*2 it would be like 9/10*2/1 which would equal 18/10 still.
write an expression for " the quotient of q and 9
Answer:
q/9
Step-by-step explanation:
The quotient is an number or variable that is the product of division. My answer may be reversed or wrong, but it should be close to the correct one.