The paddle wheel takes approximately 967 seconds to complete 100 full revolutions.
Explanation:To calculate the time it takes for the paddle wheel to complete 100 full revolutions, we need to determine the distance traveled by the fins and divide it by their speed. The diameter of the paddle wheel is given as 4 feet, so the radius is half the diameter, or 2 feet. The distance traveled by one fin along the outer edge is equal to the circumference of a circle, which is 2π times the radius. In this case, the distance is 2π * 2 feet, or approximately 12.57 feet.
Since we want to find the time it takes for 100 full revolutions, we need to multiply the distance traveled by one fin by 100. So the total distance is 12.57 feet * 100, which equals 1257 feet.
Now we can divide the total distance by the speed of the fins to find the time it takes. The speed is given as 1.3 feet per second, so the time is 1257 feet divided by 1.3 feet per second, which is approximately 967 seconds. Rounding to the nearest second, it takes the paddle wheel approximately 967 seconds to complete 100 full revolutions.
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The paddle wheel takes approximately 392 seconds to complete 100 full revolutions.
Explanation:To find the time it takes for the paddle wheel to complete 100 full revolutions, we need to calculate the circumference of the wheel and divide it by the speed at the outer edge.
The circumference of the wheel is the diameter (4 feet) times π. So, the circumference is 4π feet.
Dividing the circumference by the speed of the fins (1.3 feet per second) gives us the time it takes for one revolution. To find the time for 100 revolutions, we multiply this time by 100 and round to the nearest second.
Therefore, the paddle wheel takes approximately 392 seconds to complete 100 full revolutions.
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Can you please help and need the work to show how you go it.
Answer:
Point Q is (3 , 4)
Step-by-step explanation:
* Lets revise the rule of the point which divides of a line segment in
a ratio
- If point (x , y) divides the line segment AB, where A is (x1 , y1) and
B is (x2 , y2) in the ratio m1 : m2
∴ x = [m2(x1) + m1(x2)]/(m1 + m2)
∴ y = [m2(y1) + m1(y2)]/(m1 + m2)
* Now lets solve the problem
- Point Q divides ST in the ratio 5 : 2 where S (-2 , -6) and T (5 , 8)
- To find the coordinates of point Q use the same rule above
# Q is (x , y)
# S is (x1 , y1) and T is (x2 , y2)
# m1 : m2 is 5 : 2
∵ x1 = -2 and y1 = -6
∵ x2 = 5 and y2 = 8
∵ m1 = 5 and m2 = 2
- Substitute these values in the rule
∵ x = [m2(x1) + m1(x2)]/(m1 + m2)
∴ x = [2(-2) + 5(5)]/(5 + 2) ⇒ multiply the numbers
∴ x = [-4 + 25]/7 ⇒ add
∴ x = [21]/7 ⇒ Divide
∴ x = 3
* The x-coordinate of Q is 3
∵ y = [m2(y1) + m1(y2)]/(m1 + m2)
∴ y = [2(-6) + 5(8)]/(5 + 2) ⇒ multiply the numbers
∴ y = [-12 + 40]/7 ⇒ add
∴ y = [28]/7 ⇒ Divide
∴ y = 4
* The y-coordinate of point Q is 4
∴ Point Q is (3 , 4)
I need help with this question
Answer: First option.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=2x-7[/tex]
And the function g(x):
[tex]g(x)=-6x-3[/tex]
You need to add them to get [tex]f(x)+g(x)[/tex]. Then:
[tex]f(x)+g(x)=(2x-7)+(-6x-3)[/tex]
Therefore, when you add the like terms you get that [tex]f(x)+g(x)[/tex] is:
[tex]f(x)+g(x)=2x-7-6x-3[/tex]
[tex]f(x)+g(x)=-4x-10[/tex]
Since it is a linear function, the Domain is: All real numbers.
You can observe that the result obtained matches witht the first option.
A cooler contains 7 cans of lemonade, 4 cans of apple juice, and 9 cans of iced tea.
Without looking, Alina selects a can, hands it to her friend, and then selects another can.
What is the probability that Alina selected 2 cans of lemonade?
Enter your answer in the box. Round to the nearest tenth of a percent.
Answer:
What you have to do is add all of the sums up and put 2 over it. it is 2/20 which is 1/10.
Step-by-step explanation:
in a percent it is 0.1
Can I get brainiest
The probability that Alina selects 2 cans of lemonade is
How to calculate probability?
The given question has concept of conditional probability.
Conditional probability is applied when we have to find the possibility of an event given the another event already occurred.
Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.
Here, the first event is selecting the lemonade can and second event is also selecting lemonade can given one lemonade is already selected.
The probability to select 1st lemonade= 7/20
The probability to select 2nd lemonade=6/19
Multiplying them we get:
Probability:7*6/20*19=21/190
Therefore, the probability to select two lemonades is 21/190.
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The table below shows the number of tickets sold, t, at a high school basketball game, and the amount of money collected, m.
Tickets Sold (t) Money Collected (m)
25 $62.50
35 $87.50
40 $100
Which equation will calculate the amount of money collected after t tickets are sold?
Answer:
t x 2.5 =m
Step-by-step explanation:
A car goes 15 miles on a gallon of gas when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour it only goes 80% as far. How many gallons of gas will it take to travel 120 miles driving at 60 miles per hour?
Answer:
2 gallons per mile
Can someone please help me
Answer:
11.2
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(4, 7) and (x₂, y₂ ) = C(2, - 4)
d = [tex]\sqrt{(2-4)^2+(-4-7)^2}[/tex]
= [tex]\sqrt{(-2)^2+(-11)^2}[/tex]
= [tex]\sqrt{4+121}[/tex]
= [tex]\sqrt{125}[/tex] ≈ 11.2
What is the value of (63 + 9) ÷ 3(2) ? A 8 B 12 C 48 D 576
For this case we have the following expression:
(63 + 9) ÷ 3 (2)
To find the value of the expression we must first solve the terms associated with parentheses, that is:
[tex](63 + 9) = 72\\3 (2) = 6[/tex]
So:
72 ÷ 6 =
12
So, the correct option is 12.
Answer:
(63 + 9) ÷ 3 (2) = 12
Option B
First add the numbers inside the parentheses, then divide the result by 3, and finally multiply that result by 2. The final answer is 48, matching option C.
First, we add the numbers inside the parentheses: 63 + 9 = 72.Next, we must carry out the division and then the multiplication in the order they appear, keeping in mind that multiplication and division are on the same level of the order of operations (PEMDAS/BODMAS rules). So, we first divide 72 by 3, which gives us 24.Finally, we multiply the result by 2. Thus, 24 * 2 = 48.Therefore, the answer to (63 + 9) ÷ 3(2) is 48, which corresponds to option C.
If the area of a square is 64 inches squared.what is the length of one side
Answer:
8 in
Step-by-step explanation:
Area of a square is given by
A = s^2 where s is the side length
64 in^2 = s^2
Taking the square root of each side
sqrt(64 in^2) = sqrt(s^2)
8 in =s
Answer:
8 inStep-by-step explanation:
The formula of an area of a square:
[tex]A=s^2[/tex]
s - side length
We have the area
[tex]A=64\ in^2[/tex]
Substitute:
[tex]s^2=64\to s=\sqrt{64}\\\\s=8\ in[/tex]
[tex]\sqrt{64}=8[/tex] because [tex]8^2=64[/tex]
ASAP WILL GIVE BRAINLY
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a heart? 15% 25% 27% 35% outcome 8 12 14 6
Answer:
Step-by-step explanation:
C.35%
If you divide the number of hearts drawn by the number of total draws you get your answer.
14/20=0.35
24. Solve for x and y.
Answer:
x = 10√3 and y = 10Step-by-step explanation:
We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
(look at the picture).
We have 2a = 20. Therefore a = y = 20 : 2 = 10 and a√3 = x = 10√3
A triangle has a perimeter of 56 cm. Each of the two longer sides of the triangle is three times as long as the shortest side. What is the length of each side of the triangle?
The lenght of each side is 24cm, 24cm, and 8cm.
In order to solve this problem, we know that the perimeter of a triangle equation is P = a + b + c, where a, b, and c are the sides of the triangle.
The perimeter is 56cm, we can write the equation as follow:
a + b + c = 56cm (1)
If each of the two longer sides of the triangles is three times as long as the shortest side, we can assume:
c = shortest side = x
a = b = longer sides = 3x
Substituting the values in the equation (1):
3x + 3x + x = 56cm
7x = 56cm
x = 56cm/7 = 8cm
c = shortest side = 8cm
a = b = longer sides = 3(8cm) = 24cm
Ohm's Law is given by the equation V = IR where V is voltage in watts, I is current in amperes, and R is resistance in Ohms.
A lamp needs 0.5 amperes.
Which equation can be used to determine the voltage for a given amount of resistance?
V=0.5R
V=R0.5
V = 0.5R
V = 2R
You start with the equation V = IR, plug the value 0.5 for I and you have
V = 0.5*R
So, the first three options are equivalent and correct.
V=IR
And current, Ampere is given as 0.5 so substituting it back in the main equation gives V = 0.5R
select the correct statement about the function represented by the table.
The correct statement about the function represented by the table is:
D. It is a linear function because the y-value increase by an equal difference over equal intervals of x-values.
Step-by-step explanation:The table of values are given as follows:
x y
1 26
2 44
3 62
4 80
5 98
We know that the function is said to be linear if the rate of change is constant.Here with the x-value is increasing by each 1.
Hence, we will check whether the difference in y-value is equal or not.
( Since, the rate of change is the ratio of the change in y-value to the change in x-value)
Hence,
44-26=18
62-44=18
80-62=18
and 98-80=18
Hence, we get that the change in y-value is equal .
Hence, we get that the slope or rate of change of the function is constant.
Hence, the function is linear.
Which is the same function as -3x + 7 = y?
a)f(x) = -3x + 7
b)f(-3x) = 7
c)f(7) = -3x
d)f(x) = -3 + 7
Answer:
A) f(x) = -3x+7
Step-by-step explanation:
f(x) is interchangeable with y when writing a function, so the functions are the same.
The function that corresponds to the equation -3x + 7 = y is f(x) = -3x + 7, which maintains the same relationship between x and y as the given equation.
Explanation:The equation -3x + 7 = y can be rewritten in function notation, which typically uses the format f(x) = some expression involving x. The correct corresponding function is one that maintains the relationship between x and y as displayed in the original equation. Therefore, among the options provided:
a) f(x) = -3x + 7 is the correct answer because it is exactly the original equation -3x + 7 = y written in function notation.b) f(-3x) = 7 incorrectly suggests that -3x is the variable and not just x.c) f(7) = -3x suggests that 7 is the variable, which is incorrect.d) f(x) = -3 + 7 is simply the sum of two numbers and does not involve the variable x in a way that matches the original equation.The correct answer indicates that the function of x (f(x)) is given by the linear equation -3x + 7.
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Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 9 with
hy these dice. Be sure to reduce.
Answer:
1/9
Step-by-step explanation:
Of the 36 possible sums, 4 of them are 9. The probability is 4/36 = 1/9.
_____
Comment on these dice
Interestingly, the probability of any given sum is the same as it is with "normal" dice.
The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
Write the equation for an exponential function, in the form y=a•b^x, whose graph passes through the coordinate points (1,7.5) and (3,16.875)
[tex]\bf (\stackrel{x}{1}~~,~~\stackrel{y}{7.5})\implies 7.5=ab^1\implies \boxed{7.5=ab} \\\\\\ (\stackrel{x}{3}~~,~~\stackrel{y}{16.875})\implies 16.875=ab^3\implies 16.875=ab^{1+2}\implies 16.875=abb^2 \\\\\\ 16.875=\boxed{7.5}b^2\implies \cfrac{16.875}{7.5}=b^2\implies 2.25=b^2 \\\\\\ \sqrt{2.25}=b\implies \blacktriangleright 1.5=b \blacktriangleleft \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf 7.5=ab\implies \cfrac{7.5}{b}=a\implies \cfrac{7.5}{1.5}=a\implies \blacktriangleright 5=a \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=5(1.5)^x~\hfill[/tex]
Simplify each of the following powers of i. i^32
Answer:
the answer is 1. the trick here is to divide the exponent to 4.
Step-by-step explanation:
i^32 32÷4=8
i
-1
-i
1
Answer: The required value of the given power of i is 1.
Step-by-step explanation: We are given to simplify the following power of i :
[tex]P=i^{32}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the value of the imaginary number i(iota) is given by
[tex]i=\sqrt{-1}~~~~~\Rightarrow i^2=-1.[/tex]
From expression (i), we get
[tex]P\\\\=i^{32}\\\\=(i^2)^{16}\\\\=(-1)^{16}\\\\=(1)^8\\\\=1.[/tex]
Thus, the required value of the given power of i is 1.
Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.
x - 3; 2x^2 - 4x + 30
Answer:
Not a factor
Step-by-step explanation:
If (x - 3) is a factor then f(3) = 0
f(x) = x² - 4x + 30
f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0
Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)
( x - 3 ) is not a factor of the polynomial 2x² - 4x + 30
What is Factor Theorem?
The Factor Theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then ( x - a ) is a factor of f ( x ) if f ( a ) = 0
Given data ,
f ( x ) = 2x² - 4x + 30
If ( x - 3 ) is a factor of f ( x ) , then by factor theorem f ( x ) = f ( 3 ) = 0
And , f ( 3 ) = 2 x 3 x 3 - 4 x 3 + 30
= 18 - 12 + 30
= 36
Therefore , f ( 3 ) ≠ 0 , so ( x - 3 ) is not a factor of 2x² - 4x + 30
Hence , ( x - 3 ) is not a factor of the polynomial 2x² - 4x + 30
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Find a segment length indicated. Assume that lines which appear to be tangent are tangent.
Answer:
17.872, 8
Step-by-step explanation:
Chords that pass through the center are the diameter, and lines that are tangent to the circle are perpendicular to the diameter at that point.
Therefore, what we are looking at are right triangles, and we can find the distance using Pythagorean theorem.
c² = a² + b²
(19.5)² = (7.8)² + b²
b ≈ 17.872
c² = a² + b²
(10)² = (6)² + b²
b = 8
What is the slope?
(1,4) (3,2)
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We need two points through which the line passes.
[tex](x_ {1}, y_ {1}) :( 1,4)\\(x_ {2}, y_ {2}) :( 3,2)[/tex]
Substituting:
[tex]m = \frac {2-4} {3-1} = \frac {-2} {2} = - 1[/tex]
Answer:
[tex]m = -1[/tex]
Find the value of x.
pls help! tysm
Answer:
x = 30.
Step-by-step explanation:
The angle next to the 60 degree angle = 180 - 60 = 120 degrees (adjacent angles are supplementary).
Let the angle just above 3x be y. The sum of 3x and y = 120 degrees (as opposite angles of a parallelogram are equal).
We have the following equations.
3x + y = 120............(1)
2x + 90 + y = 180
2x + y = 90.............(2)
Subtracting, (1) - (2):
x = 30.
A moving truck rental company charges $35.95 to rent a truck, plus $0.98 per mile. Suppose the function C(d) gives the total cost of renting the truck for one day if you drive 24 miles.
Give the total rental cost if you drive the truck 24 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.
Answer:
0.98x24=23.52+35.95=59.47 hope im right
Step-by-step explanation:
The total cost of renting the truck for one day if you drive 24 miles is $58.47.
Explanation:The function notation for the total cost of renting the truck for one day if you drive 24 miles is C(24). The total rental cost can be calculated by multiplying the cost per mile ($0.98) by the number of miles driven (24) and adding the base cost ($35.95). So, the total rental cost would be $35.95 + ($0.98 x 24) = $58.47.
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What’s the largest?
823 ppm
378 ppm
2.4 meters
Answer:
Step-by-step explanation:
I think its 823 ppm?
I'm not sure
What is the median of this data set?
24, 28, 51, 54, 67, 70
Answer:
I'm guessing you need this now, So I'm just going to give the answer without the explanation
Step-by-step explanation:
52.5
Vicky's checking account charges a $12.25 monthly service fee and a $0.26
per-check fee. If Vicky writes 16 checks per month, should she switch to a checking account that charges a $16.50 monthly service fee and no per-check fee?
Answer:
No
Step-by-step explanation:
0.26*16 + 12.25 = 16.41
16.41 < 16.50
Answer:
No, Vicky should not switch.
Step-by-step explanation:
Vicky's checking account charges a monthly service fee = $12.25
Account also charges per-check fee = $0.26
Vicky writes checks per month = 16
His total monthly charges = 12.25+( 16 ×0.26 )
= 12.25 + 4.16
= $16.41
Another account that charges a $16.50 monthly service fee and no per-check fee.
Comparison between account = 16.50 > 16.41
So Vicky should not switch to another account because it charges more than her current account.
Someone plz help me with this
Answer:
[tex]5y^{6}\sqrt{2}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\sqrt{50y^{12}}[/tex]
We rewrite as:
[tex]\sqrt{2\times25 \times (y^{6})^2}[/tex]
We split the radical sign to obtain:
[tex]\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}[/tex]
Simplify the square root for the perfect squares to get:
[tex]5y^{6}\sqrt{2}[/tex]
Therefore the simplified form is: [tex]5y^{6}\sqrt{2}[/tex]
how is 5.76 written in words
C. 5 and seventy-six hundredths sorry If I'm wrong, but I'm pretty sure I'm right
please rate my answer
Answer:
Five and seventy six hundredths
Your Welcome :3
Prove ABC~EDC ?
AA similarity theorem
ASA similarity theorem
AAS similarity theorem
SAS similarity theorem
Answer:
AA similarity theorem
Step-by-step explanation:
we know that
AA (Angle-Angle) Similarity states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar
In this problem we have that
∠BCA=∠ECD ----> by vertical angles
∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)
therefore
Triangles ABC and EDC are similar by AA similarity theorem
what are the roots of the equation? 3x^2+15x=0
The solution of quadratic equation [tex]3x^2 + 15x=0[/tex] is x =0 or -5.
Given Equation: [tex]3x^2 + 15x=0[/tex]
Now, factories each term as
3x² = 3 × x × x
15x = 3 × 5 × x
Now, taking the common term 3x as
[tex]3x^2 + 15x=0[/tex]
3 × x × x+ 3 × 5 × x =0
3x (x + 5)= 0
Now, equate each factor to 0 as
3x =0
x= 0/3
x= 0
or, x + 5= 0
x = -5
Thus, the value of x is -5 or 0.
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