Answer:
Part A) 110 dollars.
Part B) 1,800 dollars.
Make t the subject of the formula
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
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What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
Reset
Submit
Please mark as brainliest.
The simplified expression of the following expression is [tex](\dfrac{3^{49}}{6^{28}} )[/tex].
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Rewrite the equation as :
[tex](\dfrac{3^7}{6^4} )^7[/tex]
Multiply both by [tex](\dfrac{3^7}{6^4} )^7[/tex]:
[tex](\dfrac{3^{7 \times 7}}{6^{4 \times 7}} )[/tex]
Use the power rule to combine exponents:
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
The simplified expression of the following expression as;
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
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LAST QUESTION PLS HELP idk if you can see it all
Answer:
C is the right answer
Step-by-step explanation:
what is the half way point for 20000 and 30000
PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO
Answer:
i dont have the answers i just wanted to say happy b day
Step-by-step explanation:
**PLEASE HELP I NEED IT WITHIN 20 MINUTES**
These are Trig Ratios and you can read the instructions to solve question 15 & 16 (if you can please show the work it would be greatly appreciated)
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]
The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).
Contents
Right-angled triangle definitions Edit
A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.
In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.
Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.
If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]
sine
{\
Which phrase correctly describes the expression 4 × 3 – 1?
A.
One minus the product of four and three
B.
One less than the product of four and three
C.
One less than the sum of four and three
D.
Four times the difference of three and one
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Bus A and Bus B leave the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its
route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot
together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
LCM(30, 35) = 210 minutes.
The 2 Buses will be back at the depot 210 minutes after 5pm, or 5pm + 210 minutes =5 + 3.5 hours =8:30pm
Answer:
4:30 PM
Step-by-step explanation:
Bus A will meet Bus B on it's 10th route at 150 min. Bus B will meet Bus A at its 6th route at 150 min. 150 is also 2 hours and 30 min so they will meet at 4:30 PM.
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
What is the slope of the line (-3,0) and (0,-4)
Solve the following
equation:
8x – 4(x + 8) = 8
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
[tex]\sf 8x-4(x+8) = 8\\\\Expanding \ Parenthesis\\\\8x-4x-32 = 8\\\\4x -32 = 8\\\\Adding \ 32\ to \ both \ sides \\\\4x = 8+32\\\\4x = 40\\\\Dividing \ both \ sides \ by \ 4\\\\\boxed{\sf x = 10}\\\\\rule[225]{224}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Solve 2y - 14 = -8 for y
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
Given m∥n, find the value of x and y.
Answer:
x=15
y=63
Step-by-step explanation:
The original price for the sweater is $80. Today it is on sale for 30% off. What is the sale price for the sweater?
Answer:
56
Step-by-step explanation:
30 percent of 80 is 24, subtract
Answer:
56
Step-by-step explanation:
8 x .7=56
you get .7 by subtracting the 30 percent or .3 from the original price
What is the zero of F?
Answer: i wish i could help
Step-by-step explanation:
(6h+8) - (3h+2) = 15
Answer:
h = 3
Step-by-step explanation:
This is the answer because:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
If f(x)=x2-1, what is f(4)?
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.
Turtles to dogs and cats:
dogs to turtles
Answer:
Turtles to dogs and cats: 12,8,3
dogs to turtles: 8,12
use the line tool and select two points to graph the line
graph f(x) = - 0.25x + 4
Answer:
8,2 and 0,4 are the points you need on the graph
Step-by-step explanation:
again i need some help with this :D
Answer:
v + u - 4
Step-by-step explanation:
1.15÷0.23=? pls answer guys
Answer:
5
Step-by-step explanation: I used a calculator
simple question just answer correctly to get brainleist and 10 pts! :)
Answer:
d. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
This would be a function as long as one x-value doesn't correspond to two y-values. If two x-values correspond to one y-value though, it still represents a function.
ANSWER
two inputs can have the same output but two different outputs can't have the same input so this does represent a function and is therefore D
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired?
Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation:
Use a quick picture to model 0.62 -0.18. Then write in your answer.
Answer:
0.44
Step-by-step explanation:
Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.
Does the following quadratic equation have a maximum or minimum value? How can
you tell?
y=x^2+2x-3
Answer:
minimum
Step-by-step explanation:
it has a minimum value because it is positive so the graph will show a U shape
Two lines, A and B, are graphed (Look at the picture):
Determine the solution and the reasoning that justifies the solution to the systems of equations.
a.(−4, 6), because both the equations are true for this point
b.(2, 8), because the graph of the two equations intersects at this point
c.(2, 8), because neither of the two equations is true for this coordinate point
d.(−4, 6), because the graph of the two equations intersects the axis at these points
Answer:
B. (2,8), because both equations intersect at this point
Answer:
B. (2,8), because both equations intersect at this point
Step-by-step explanation:
Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Answer:
i guess its 24.03 ft
Step-by-step explanation:
let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft
Solve for the missing arc measure, angle measure, or variable.
m < BOC = _____ degrees.
Please help! I’ll give brainliest!!
Answer:
110
Step-by-step explanation:
The answer is 110 degrees. The reason is hard to put into simple language.
If the central angle and the acute angle hitting the circumference share the same end points, then the central angle is double the arc whose vertex is on the circumference.
Read that sentence a couple of times. I don't know how to make it simpler.
The arc angle and the central angle both have B and C as their end points.
The arc angle is on the circumference of the circle. The vertex (A) of BAC is on the circumference. If mine is the only answer, wait a few days before awarding a Brainliest. A thanks will do.