Answer:
m=1/2
Step-by-step explanation:
What is the angle in both radians and degrees determined by an arc of length 4π meters on a circle of radius 16 meters? NOTE: Enter the exact answers. Do not include symbols in the answer boxes. The angle, in radians, is The angle, in degrees, is
The formula to determine the angle subtended by an arc is:θ = (L/r), where θ is the angle in radians, L is the length of the arc, and r is the radius of the circle.
We are given a circle with a radius of 16 meters and an arc length of 4π meters. Therefore, we can plug in the values of L and r to obtain the angle in radians:
θ = (L/r) = (4π/16) = π/4 radians
We can convert radians to degrees using the formula:
π radians = 180 degrees
Therefore, we can convert the angle in radians to degrees as follows:
θ (in degrees) = (θ in radians) × (180/π) = (π/4) × (180/π) = 45 degrees
Hence, the angle subtended by an arc of length 4π meters on a circle of radius 16 meters is π/4 radians or 45 degrees.Conclusion:Thus, the angle, in radians, is π/4 and the angle, in degrees, is 45 degrees.
To know more about circle visit:
brainly.com/question/15008542
#SPJ11
which algebraic expression has a term with a coefficient of three A: -2y+5+3 B: 3(y-6) C: 3y+1 D: 5y-7
Answer:
b
Step-by-step explanation:
at the left hand side the coefficient is 3
Joey earns 450$ for working 36 hours . Will earns 260$ for working 13hours. who has the better rate of pay ?
Answer:
Will does.
Step-by-step explanation:
Will earns $260 for working 13 hrs. multiply that by 2. 260 x 2 is 520. 13 x 2 is 26. Will earns $520 for working 26 hours. Joey earns $450 for working 36 hours. Will has a better rate of pay because he earns more than joey does, and he earns more while working less hours than joey. joey earns less money than will and he also works more hours.
PLS HELP.!!!!!!!!!!!
Answer:
35040
Step-by-step explanation:
3.48(104)+0.24(103)
=35040
Answer:
umm here 35,040
Step-by-step explanation:
If the equation y = 3x - 1 were graphed on the xy-coordinate plane, which of the following
would NOT be a point on that graph?
A.(-2,-7)
B.(2,5)
C.(-1,-3)
D.(0,-1)
Answer:
C
Step-by-step explanation:
If you substitute the x-value of every coordinate into the equation, C is the only one that doesn't have the right y-value
Answer:-1,-3
Step-by-step explanation:
Astronauts increased in height by an average of approximately 40mm (about an inch and a half) during the Apollo Soyuz missions, due to the absence of gravity compressing their spines during their time in space. Does something similar happen here on Earth? An experiment supported by NASA measured the heights of six men immediately before going to bed, and then again after three days of bed rest. On average, they increased in height by 14mm, with standard deviation 0.66mm. Find the 95% confidence interval for the change in height after three days of bed rest.
The confidence interval for the change in height after three days of bed rest is approximately (13.308, 14.692) mm.
So we can be 95% confident that the true change in height after three days of bed rest falls within this interval.
How to find the cofidence interval?
To find the 95% confidence interval for the change in height after three days of bed rest, we can use the formula for a confidence interval for the mean difference in paired data:
CI = x ± t * (s / √n)
Where the variables are:
x is the sample mean difference (average change in height),t is the critical value from the t-distribution for the desired confidence level (95% confidence corresponds to a t-value with 5 degrees of freedom, which is approximately 2.571),s is the sample standard deviation of the differences (given as 0.66mm),n is the sample size (given as 6).Let's calculate the confidence interval:
x = 14mm (average change in height)t = 2.571 (critical value for 95% confidence level with 5 degrees of freedom)s = 0.66mm (sample standard deviation of the differences)n = 6 (sample size)CI = 14 ± 2.571 * (0.66 / √6)
Calculating the value inside the parentheses:
0.66 / √6 ≈ 0.2691
Calculating the confidence interval:
CI = 14 ± 2.571 * 0.2691
CI = 14 ± 0.692
That is the confidence interval.
Learn more about confidence intervals at:
https://brainly.com/question/20309162
#SPJ4
a particle moves in a circle 1.50 m in radius. through what angle in radians does it rotate if it moves through an arc length of 2.50 m? what is this angle in degrees?
The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).
A particle moves in a circle of radius 1.50 m. If it moves through an arc length of 2.50 m, we are to determine the angle through which it rotates in radians and in degrees.
Let the angle through which it rotates be denoted as θ, and the radius of the circle be denoted as r, thus, we can write:
L = rθ
where L is the length of the arc. We are to determine θ if r = 1.50 m and L = 2.50 m.
Substituting L = 2.50 m and r = 1.50 m into L = rθ, we have: 2.50 m = 1.50 mθ
Dividing both sides by 1.50 m, we obtain:
θ = 2.50 m / 1.50 m = 1.67 radians
The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).
Learn more about arc length visit:
brainly.com/question/31762064
#SPJ11
3х
(2x + 16)
Solve for x
Answer:
16
Step-by-step explanation:
Step 1:
3x = 2x + 16 Equation
Step 2:
3x - 2x = 16 Subtract 2x on both sides
Answer:
x = 16
Hope This Helps :)
On January 2,2023 , Cullumber Corp. issued a $84,000, four-year note at prime plus 1% variable interest, with interest payable semiannually. On the same date, Cullumber entered into an interest rate swap where it agreed to pay 4% fixed and receive prime plus 1% for the first six months on $84,000. At each six-month period, the variable rate will be reset. The prime interest rate is 3.4% on January 2,2023 , and is reset to 4.5% on June 30,2023 . On December 31,2023 , the fair value of the swap has increased by $25,000. Cullumber follows ASPE and uses hedge accounting. Assume that the swap qualifies for hedge accounting under ASPE. (b) Calculate the net interest expense to be reported for this note and the related swap transaction as at June 30 and December 31 , 2023.
The net interest expense for June 30, 2023, is $210. The net interest expense for December 31, 2023, is $252.
The payment is equal to the face value of the note ($84,000) multiplied by the fixed rate (4%) multiplied by the fraction of the year for which the payment is being made (6/12).
Fixed rate payment = $84,000 × 4% × 6/12 = $1,680.
Similarly, calculation of the variable rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the variable rate (4.5% as of June 30, 2023) multiplied by the fraction of the year for which the payment is being made (6/12).
Variable rate payment = $84,000 × 4.5% × 6/12 = $1,890.
The net payment made by Cullumber on June 30, 2023, is equal to the variable rate payment minus the fixed rate payment.
Net payment = $1,890 - $1,680 = $210.
Calculation of the fixed rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the fixed rate (4%) multiplied by the fraction of the year for which the payment is being made (6/12).
Fixed rate payment = $84,000 × 4% × 6/12 = $1,680.
Similarly, calculation of the variable rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the variable rate (3.4% as of December 31, 2023) multiplied by the fraction of the year for which the payment is being made (6/12).
Variable rate payment = $84,000 × 3.4% × 6/12 = $1,428.
The net payment made by Cullumber on December 31, 2023, is equal to the fixed rate payment minus the variable rate payment.
Net payment = $1,680 - $1,428 = $252.
Know more about interest here:
https://brainly.com/question/26457073
#SPJ11
help please I really really need help
A function f represents the percentage of life remaining in a cell phone battery. The life of a cell phone battery is dependent on the number of minutes, a, that a cell phone has been in use. In the context of the problem, explain the meaning of the following statements:
f(22)
f(a)=50
Answer:
In 22 minutes the remaining cell phone battery will be unknown.
In a of minutes the remaining cell phone battery will be 50%.
Step-by-step explanation:
anyone know the answer?
Answer:
95 degrees
Step-by-step explanation:
One and 4 are vertical, meaning they are congruent
4 and 8 are corresponding meaning they are congruent
8 & 7 are supplementary meaning they add up to 180 degrees
Hope this helps :-)
what are the zeros of the function graph the function. y=x(x 2)(x 5)
the zeros of the function are x = 0, x = -5.
The given function is y = x(x²)(x + 5).
To find the zeros of this function, we need to set y equal to zero and solve for x.
So, y = 0x(x²)(x + 5) ⇒ 0 = x(x²)(x + 5)
We can see that the left side is zero. So, either x or (x²)(x + 5) is zero.
Thus, the zeros of the function are: x = 0, x² = 0
⇒ x = 0, x + 5 = 0
⇒ x = -5
Therefore, the zeros of the function are x = 0, x = -5.
learn more about function here
https://brainly.com/question/2833285
#SPJ11
in the diagram below AB CD. If <7 = 52 °, then what is the measure of <4
find the value of x
Answer:
48°
Step-by-step explanation:
x + 3x-12 = 180
4x-12 = 180
4x=192
x=48°
Pianists and musicians as a conditional statement
"If you are a pianist, you are a musician"
sorry if I'm incorrect, we didn't spend much time on conditional statements
The opposite corners of a quadrilateral are right angles. What kind of quadrilateral is this figure?
Answer:
Send a picture for a full answer.
Step-by-step explanation:
Answer:
Rectangle or square
Step-by-step explanation:
Cual es la medida por lado de la siguiente figura
A=48
X+3
X+5
The side measures for the figure in this problem are given as follows:
6 units and 8 units.
How to obtain the area of a rectangle?To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:
Area = Length x Width.
The dimensions for this problem are given as follows:
x + 3 and x + 5.
As the area is of 48 square units, we have that:
(x + 3)(x + 5) = 48
x² + 8x + 15 = 48
x² + 8x - 33 = 0.
The coefficients are given as follows:
a = 1, b = 8, c = -33.
Using a quadratic function calculator, the positive root is given as follows:
x = 3.
Hence the dimensions are:
x + 3 = 6.x + 5 = 8.More can be learned about the area of a rectangle at brainly.com/question/25292087
#SPJ1
The—————-of a graph is the location where the graph crosses the x-axis
Answer:
I believe the answer is x-intercept
Step-by-step explanation:
76km/hr=_______________________________m/s
Answer:
21.1111 m/s
Step-by-step explanation:
Multiply, but do not simplify.
Captionless Image
Answer:
Please add context
Step-by-step explanation:
Answer:
Add an image first
Step-by-step explanation:
Simplify the expression:
-4z + 2z + -4z + -5z
Answer: -11
Step-by-step explanation:
Will Mark Brainliest
Answer:
3,2
No explantation needed,
0.3x+5.14=2.1x – 4.4
Answer:
x = 5.3
Step-by-step explanation:
ehhh, i'm jus helping,
you're welcome :)
Answer:
53
To find:
x
Step-by-step explanation:
0.3x+5.14=2.1x – 4.4
0.3x-2.1x=-4.4-5.14
-1.8x=-9.54
x=-9.54/-1.8
To remove the decimal point, multiply with 100 on both numerator and denominator as their are two digits after the decimal point
x=-9.54 × 100/-1.8 × 100
therefore you will get,
x=-954/-180
cut the negative sign from both numerator and denominator
x=954/180
x=53
hope it helps you!!
Please help me with disss
Answer:
-4
Step-by-step explanation:
Answer:
mk so a while back u posted an anser to a math question and I needed to tell u ur sner made NO SENSE BECAUSE YOU SAID "none of them" AND THAT WASNT AN OPTION
how many are 16 x 16 ?
Answer:
256
Step-by-step explanation:
16 ×16= 256
Hope it works out for you
Here is a table of values for y = f(x).
X
-5 -3 0 2 6 7 9
0 2 6 7 9 10 13
301 230
2
Mark the statements that are true.
1
A. The range for f(x) is all real numbers.
B. The domain for f(x) is the set (-5, -3, 0, 2, 6, 7, 9, 10, 13).
Manders Manufacturing Corporation uses the following model to determine an optimal product mix for its two products, metal (M) and scrap metal (S):
Max Z = $30M + $70S
Where: 3M + 2S ≤ 15
2M + 4S ≤ 18
The above mathematical functions together constitute a(n):
a. Simulation model.
b. Linear programming model.
c. Economic order quantity model.
d. Multivariate regression model.
e. Nonlinear optimization model.
b. Linear programming model is the correct option.
How can Manders Manufacturing Corporation determine an optimal product mix for metal and scrap metal using a mathematical model?A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.
The constraints are represented by the inequalities:
3M + 2S ≤ 15
2M + 4S ≤ 18
These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.
Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.
Learn more about linear programming
brainly.com/question/30763902
#SPJ11
The volume of the Venus is approximately 9.4 x 10^11 km^3. The volume mars is approximately 1.6 x 10^11.
Part A: about how many times as great as the volume of mars is the volume of Venus? Round to the nearest tenth.
Part B: the volume of earth is approximately 0.69 x 10^-1 times larger than the volume of mars. What is the approximate volume of earth?
Answer:
Step-by-step explanation:
Given
volume of the Venus = 9.4 x 10^11 km^3
The volume mars is approximately = 1.6 x 10^11km³
A) In order to know how many times as great as the volume of mars is the volume of Venus, we take the ratio of volume of Venus to volume of mars.
Ratio = volume of Venus/volume of mars
Ratio = 9.4 x 10^11 km³/1.6 x 10^11km³
Ratio = 9.4/1.6
Ratio = 5.875
Ratio = 5.9(to the nearest tenth)
Hence the volume of venus is approximately 5.9 great as volume of mars.
B) If volume of earth is approximately 0.69 x 10^-1 times larger than the volume of mars, then the amount by which earth is greater than mars is expressed as:
0.69 x 10^-1 × volume of mars
= 0.69 x 10^-1 × 1.6 x 10^11.
= 1.104×10^{-1+11}
= 1.104×10^10
Volume of earth will be 1.104×10^10+1.6 x 10^11.
Volume of earth = 0.1104×10^11+1.6 x 10^11.
Volume of earth = 1.7104×10¹¹ km³
Hence the approximate volume of earth is 1.7104×10¹¹km³
The volume of Mars is 5.875 times greater than the Volume of earth.
Volume is a quantity expressing the amount of three-dimensional space enclosed by a closed surface. It shows how much space there is within a three-dimensional object.
Part A:
Comparison of Venus to Mars = 9.4 x 10^11 km³ / 1.6 x 10^11 km³ = 5.875Part B:
Volume of earth = 1.6 x 10^11 + (1.6 x 10^11 * 0.69 x 10^-1) = 1.7104 * 10¹¹ km³The volume of Mars is 5.875 times greater than the Volume of earth.
Find out more on volume at: https://brainly.com/question/1972490
Write the prime factorization of using exponents.
The prime factorization of 5184 is ______________
Answer: 26∗34 2 6 ∗ 3 4
Step-by-step explanation:
Find the positive value of x that makes the equation true,
x2 + 4x = 4(x + 16)
Answer:
x=8
Step-by-step explanation:
(8)2 + 4(8)= 4x + 16
16 + 32 = 4(8) + 16
48= 32+16
48=48
