The equation q=r+rst can be rearranged to isolate t, with the final solution being t=(q-r)/rs.
Explanation:To solve for t in the equation q=r+rst, first, you need to isolate t on one side of the equation. You can do this by subtracting r from both sides so that you have q-r=rst. Next, divide both sides by rs, which gives you the final solution: t=(q-r)/rs.
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A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second.
1 m = 10 dm
1000 m = 1 km
How much faster does the sea turtle swim than the girl in meters per minute?
Enter your answer in the box.
____m/min
~~~~~~~~~~The answer is 366 m/min~~~~~~~~~~~~~~~~~~ First, convert the turtles speed to meters per minute. 27 km/h * 1000 m/km = 27000 m/h / 60 min/h = 450 m/min Now convert the girls speed to meters per minute. 14 dm/s / 10 dm/m * 60 s/min = 84 m/min Now subtract the girl's speed from the turtle's speed. 450 m/min = 84 m/min = 366 m/min
PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2
Answer:
The excluded value is x=5.
Step-by-step explanation:
Given : Expression [tex]\frac{2x}{-5x+x^2}[/tex]
To find : Simplify the rational expression. State any excluded values.
Solution :
First we simplify the expression,
[tex]\frac{2x}{-5x+x^2}[/tex]
Taking x common from the denominator,
[tex]=\frac{2x}{x(-5+x)}[/tex]
Cancel the common term from numerator and denominator,
[tex]=\frac{2}{-5+x}[/tex]
To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.
[tex]-5+x=0[/tex]
[tex]x=5[/tex]
Therefore, The excluded value is x=5.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7x – 4y = 4
x – 4y = 3
A. Perpendicular
B. Parallel
C. Neither
A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?
A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?
Please help me thank you very much.
Please answer all 4 questions.
What are the zeros of the polynomial function y = x(x − 6)(x + 3)(x − 11)?
A drama class has a total of 47 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?
1. Is the equation true, false, or open? 9p + 8 = 10p + 7 A. Open; there is a variable. B. True; the expressions are the same for all values of the variables. C. False; the expression are never the same.
Also all the answers in the Unit Test please
Please help me solve this equation but show the steps so I can learn how to solve it.
0.25r-0.125+0.5r=0.5+r
how can you figure out how many miles you are using on a united fligjts
Can someone help please? Thank you. SHOW ALL WORK.
PLEASE HELP! I'm so confused!
Hourly employees working more than 40 hr a week are often paid "time and a half" for overtime, any hours beyond 40. In the formula p = wr + 1.5we, gross pay (p) is computed by multiplying the hourly wage (w) by the number of regular hours worked (r[tex] \leq [/tex]40) and adding 1.5 times the product of the hourly wage (w) and the number of extra hours (e) beyond 40. Find your gross pay if you work the given number of hours at the given rate.
40 hr at $8.12/hr
47 hr at $10.92/hr
How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?
Answer:
It is 5
When Y=1 I got 0
Is there a value of k for which the equation has just one real solution?
I put no
Then for the last one I put Yes
Step-by-step explanation:
Edg 2020
What is the tangent of angle a?
a. 6/8
b. 8/10
c. 8/6
d. 6/10
Please help! 20 points!
divide: 5/4 = 1.25
answer is 1.25
Determine the nature of the roots of the function
f(x)=7x^2+5x-1
Final answer:
To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.
Explanation:
The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:
D = b² - 4ac
D = (5)² - 4(7)(-1)
D = 25 + 28
D = 53
Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.
Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer
Find the measure of an angle if its measure is 46 degrees less than three times its complement.
Which object models a line ?
A. a fly
B. a wall
C. a meter stick
D. a television
The object is a meter stick that models a line.
What is a line?A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.
Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
In daily language, a line segment with two points designating its endpoints is also referred to as a "line."
From the given choices:
A meter stick models a line.
Therefore, the object is a meter stick.
To learn more about the line;
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Suppose y varies directly with X
Y2 + 30 ÷ x - 8 what is the value of the expression when x = 6 and y = 8?
Which property of equality would be used to isolate the variable b in this equation? (3/4) b= 12
What is the value of h(−2) when h(x)=3x+1 ?
Enter your answer in the box.
h(−2)=
HELP PLS 30PTS
h(x) = 3x+1
h(-2) = 3(-2) +1 =-6 +1 =-5
h(-2) = -5
Answer:
we have
h(x)=3x+1
now
h(-2)=3×-2+1=5 is your answer
What is the value of x in the equation x – y = 30, when y = 15?
Two trucks leave a warehouse at the same time. one travels due north at an average speed of 48 miles per hour, and the other travels due south at an average speed of 64 miles per hour. after how many hours will the two trucks be 728 miles apart?
When two objects are moving in opposite directions, their relative speed is the sum of their speeds. In this scenario, the trucks will be 728 miles apart after 6.5 hours of travel.
Explanation:The problem here is essentially an application of the concept of relative speed. The two trucks are traveling in opposite directions, so you add their speeds together to get the relative speed at which they are moving apart. That results in a combined speed of 48 mph (north) + 64 mph (south) = 112 mph. Now, to find out when they will be 728 miles apart, you divide the total distance by the combined speed:
728 miles ÷ 112 mph = 6.5 hours.
So, both trucks will be 728 miles apart after 6.5 hours.
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BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!
1. A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.
Which recursive function best represents the number of MP3 players in the store f(n) after n months?
f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 − 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 0.3 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 + 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
2. Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:
f(x) = 500(1.05)x
What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?
14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year
At a baseball stadium the price for popcorn is $14.70 for 5 bags. If you wanted to buy 4 bags of popcorn, how much would it cost?
For spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?
Answer:
$145.98
Step-by-step explanation:
You and some friends plan a road trip to a sunny destination that is 1705 miles away.
You drive a car that gets 39 miles per gallon.
Total gas used in the trip = [tex]\frac{1705}{39}[/tex]
= 43.7179487 ≈ 43.72 gallons
Gas costs per gallon = $3.339
Total cost to get to your destination = 43.72 × 3.339
= $145.98108 ≈ $145.98
The cost would be $145.98 to get to your destination.
Solve for x: 3x − 5 = 2x + 6.
1
−1
11
−11
Answer:
X = 11 sweetheart