Write an algebraic expression that is equivalent to the expression cot(arctan x)
The algebraic expression equivalent to cot(arctan x) is 1 / x, derived by recognizing that cot(θ) is the reciprocal of tan(θ), and tan(θ) = x for θ = tan-1(x)
To find an algebraic expression for cot(arctan x), let's follow a step-by-step transformation using trigonometric identities: cot(arctan x) is denoted as cot(tan-1(x))
First, letTherefore, the algebraic expression equivalent to cot(tan-1(x)) is 1 / x.
If my son was born june 2016 what year will he graduate high school
NEED ANSWER ASAP!!! THANKS!!
A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second.
3 ft = 1 yd
5280 ft = 1 mi
How much faster does the fish swim than the boy in yards per minute?
The Boy: 4.4 x 60 = 264ft per minute. 264 / 3 = 88yrds Per minute
The Fish: 12 x 5280 = 63360ft hr. 5280 / 60 = 1056ft minute 1056 / 3 = 352yrds
352 - 88 = 44 yards quicker then the boy.
44 x 3 = 132 feet quicker then the boy.
Please help asap!!
A recipe calls for 2 1/4 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 15 3/4 cups of flour?
How can you find the x-intercept of the graph of a linear equation using the equation? How is using the graph of a linear equation to find the intercepts like using the equation?
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. this table shows how many cans malachi put in the can-crusher at different times. minutes 3 5 7 9 cans crushed 49 65 81 97 what is the equation that represents malachi's situation? enter your answer in the boxes
Answer:
your answer would be y-65=8(x-5)
Please helppp
(750/512)^1/3
what is equivilant to this??
Answer:
[tex]\frac{5\sqrt[3]{6}}{8}[/tex]
Step-by-step explanation:
We have been given an exponential number. We are supposed to simplify our given number.
[tex](\frac{750}{512})^{\frac{1}{3}[/tex]
Using fractional exponent rule [tex]x^\frac{m}{n}=\sqrt[n]{x^m}[/tex], w ecan write our given number as:
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{(\frac{750}{512})^1}[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{750}{512}}[/tex]
We can rewrite 512 as [tex]8^3[/tex] and 750 as 125*6.
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{125*6}{8^3}}[/tex]
We can rewrite 125 as [tex]5^3[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{5^3*6}{8^3}}[/tex]
Using radical rule [tex]\sqrt[n]{a^n}=a[/tex], we will get:
[tex](\frac{750}{512})^{\frac{1}{3}}=\frac{5\sqrt[3]{6}}{8}[/tex]
Therefore, [tex]\frac{5\sqrt[3]{6}}{8}[/tex] is equivalent to our given number.
Seventy-five times an integer, minus 36, equals 21 times the square of the integer. Which equation could be used to solve for the unknown integer?
The equation: [tex]\( 21x^2 - 75x + 36 = 0 \)[/tex] represents "75 times an integer minus 36 equals 21 times the square of the integer."
To solve this problem, let's represent the unknown integer with the variable [tex]\( x \)[/tex]. Then we can set up the equation based on the given information.
The problem states: "Seventy-five times an integer, minus 36, equals 21 times the square of the integer."
Mathematically, this can be represented as:
[tex]\[ 75x - 36 = 21x^2 \][/tex]
So, the equation that could be used to solve for the unknown integer is:
[tex]\[ 21x^2 - 75x + 36 = 0 \][/tex]
I need help figuring this out, I think X is 61 but I'm not sure
HELP WITH CALCULUS!
Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior. Provide any other details that would enable another student to graph and determine the equation for your function. Do not state your function.
A tile factory earns money by a flat fee for delivery and sales price per tile sold. For one customer the tile factory shipped 10,000 units of retail stores at the rate of $0.25 Per tile. The total tile factory earned from that sale was 3000 which of the following equation describes the revenue of the tile from this sale in terms of tiles
Sold?
A) y=0.25x+10,000
B) y=0.25x+3,000
C) y=0.25x+500
D) y=0.25x+0.25
10,000 tiles * 0.25 = 2500
3000 -2500 = 500
so the delivery fee is 500 and the tiles cost 0.25 each
so the equation would be y = 0.25x +500
Answer is C
If two siblings are boys, what is likelihood that the third sibling will also be a boy
A neighborhood swim club charges a one-time fee of $25 to join and $85 each month. If n is the number of months of membership and t is the total amount spent, then the variables are related by the equation t = 85n + 25. Which variable is the independent variable?
Find the surface area of a cube with 4.1 in. edges.
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000. What is this cost called?
Answer:
The answer is down payment.
Step-by-step explanation:
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000.
This cost is called down payment.
Down payment is an amount in cash that is given while purchasing a home. This lies between 5% to 20% of the purchase price.
This payment reduces the amount of money you will have to borrow from banks. Each loan requires some sort of down payment.
Slope is 3, and (1,4) is on the line
While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tall. Can he drive through the tunnel?
An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
A standard coffee mug has a capacity of 16 fluid ounces if Annie needs to fill 26 mugs with coffee how many total quarts of coffee does she need
please show me how to solve ... -12x - 17 = -89
How to find equation of axis of symmetry when given 2 points?
What is the 6th value in the sequence with the explicit formula an=−2n−14?
A −26
B −12
C −10
D 6
When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If you pay $90, how many months of use do you get?
ab is tangent to the circle ad=4 and bc=3 solve for x
Answer:
Step-by-step explanation:
alright, lets get started.
bc and cd will be same as both are radius of the circle.
[tex]bc=cd=3[/tex]
[tex]ac=ad+cd[/tex]
[tex]ac=4+3[/tex]
[tex]ac=7[/tex]
as we know ab is tangent to the circle so, triangle abc will be a right triangle.
Using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
[tex]3^2+x^2=7^2[/tex]
[tex]9+x^2=49[/tex]
Subtracting 9 from both sides
[tex]x^2=49-9=40[/tex]
[tex]x=\sqrt{40} =2\sqrt{10}[/tex]
So, the answer is [tex]2\sqrt{10}[/tex] : answer
Hope it will help. :)
Riki rides her bike 26 miles every week. What is the total numbers of miles she will ride in one dozen. What is the total number of miles she will ride in 7 weeks
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −8 to x = −2.
A)−1
B)−3
C)1
D)3
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
What will this problem look like? The radius, r, of a circle is one-half of the length of its diameter, d.
1. 1/2r= d
2. 2r=d
3. 1/2 + r = d
4. r= 1/2d
5. r= d/2
There is more than one answer
The volume of a rectangular prism is 18 cubic ft. If the width is 6ft. and the height is 3ft. what is the length