Factor:
7s(x−2y)+2t(x−2y)+2(x−2y)=
what are the domain and range of the exponential function below f(x)=4^x+3
Answer:
Step-by-step explanation: Domain are the set of x -values. Here x values from negative to positive.
Range is the set of y values. The graph clearly shows that the values never dip below 3.
Hence the answer is ;
Domain : All x values
Range: never dips below 3.
A washer and a dryer cost $795 combined. The washer costs $55 less than the dryer. What is the cost of the dryer?
Saeed bought 21 1/2 lb. of ground beef. he used 1/4 of the beef to make tacos and the remaining 2/3 of the remainder to make quarter pound burgers. how many burgers did he make?
Saeed made 42 2/3 burgers.
Explanation:To solve this problem, we need to find out how much ground beef Saeed used to make tacos and how much he used to make quarter-pound burgers. Let's break it down step-by-step:
1. Saeed bought 21 1/2 lb of ground beef.
2. He used 1/4 of the beef to make tacos. So, 1/4 of 21 1/2 lb is (1/4) * 21 1/2 lb = 5 3/8 lb.
3. The remaining beef is 21 1/2 lb - 5 3/8 lb = 16 1/8 lb.
4. Saeed used 2/3 of the remaining beef to make quarter-pound burgers. So, 2/3 of 16 1/8 lb is (2/3) * 16 1/8 lb = 32/3 lb = 10 2/3 lb.
5. To find the number of quarter-pound burgers, we divide the weight of the beef used for burgers by the weight of each burger. Since each burger weighs 1/4 lb, we divide 10 2/3 lb by 1/4 lb to get:
10 2/3 lb ÷ 1/4 lb = 10 2/3 lb * 4 lb/1 = 42 2/3 burgers.
Therefore, Saeed made 42 2/3 burgers.
Final answer:
Saeed used 1/4 of the ground beef for tacos and the remaining 2/3 for quarter pound burgers. After calculating, we determined that he was able to make 43 quarter pound burgers.
Explanation:
To solve Saeed's ground beef problem, we need to perform sequenced calculations to determine how much beef was used for tacos, and how many quarter pound burgers were made with the remaining beef.
First, Saeed used 1/4 of the 21 1/2 lb of beef for tacos. To find out how much that is, multiply 21.5 lb by 1/4:
21.5 lb × 1/4 = 5.375 lb for tacos
Next, we subtract this amount from the original to find the remainder:
21.5 lb - 5.375 lb = 16.125 lb remaining
Now, Saeed uses 2/3 of the remaining beef for burgers. So, we calculate:
16.125 lb × 2/3 = 10.75 lb for burgers
Since each burger is a quarter pound, we divide the weight used for burgers by 1/4 to find out how many burgers he made:
10.75 lb ÷ 1/4 lb per burger = 43 burgers
Therefore, Saeed made 43 quarter pound burgers.
Find the dimensions of a rectangle with a perimeter of 148 feet that has the maximum area
The dimensions of the rectangle with a perimeter of 148 feet that has the maximum area would be 37 feet by 37 feet, forming a square. The maximum area of the rectangle is 1369 square feet.
Explanation:To find the dimensions of a rectangle with a known perimeter and the maximum area, first understand that the rectangle with the maximum area is a square. In this case, the perimeter is 148 feet.
To calculate the side length of the square, divide the perimeter by 4. Thus, the side of the square would be 148 feet / 4 = 37 feet. Therefore, the maximum area will be achieved when each side of the rectangle is 37 feet long, making it a square with these dimensions.
The maximum area of such a rectangle, which in this case is a square, is obtained by squaring the side length: Area = side × side = 37 feet × 37 feet = 1369 square feet.
Find the values of x on the curve y = cos x 2 + sin x at which the tangent is horizontal. (let n be an integer. enter your answers as a comma-separated list.)
To find the values of x on the given curve at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0.
Explanation:To find the values of x on the curve y = cos x^2 + sin x at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0. The derivative of y is -2x sin x + cos x.
Setting the derivative equal to 0, we have -2x sin x + cos x = 0. Solving this equation will give us the values of x at which the tangent is horizontal.
Unfortunately, it is not possible to find exact solutions to this equation analytically. We can, however, solve it numerically using methods such as Newton's method or the bisection method.
a diver is swimming 11 meters below the surface. The diver sees a shark 19 meters below him. how many meters from the surface is the shark?
What is the factorization of 49b2 − 81
on the quiz, i got
B. (7b – 9)(7b +9)
I just finished the edge quiz for my algebra class.
I got a 100, so this is the correct answer.
When dividing 592 by 9.25, how many zeros will be placed in the dividend?
No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.
For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.
_____
If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.
Answer:
it is b 100 on quiz
Step-by-step explanation:
if h(x)=(fog)(x) and h(x) = x+5, find g(x) if f(x) = x+2
Need help with math problem
The temperature of a lake drops by the same amount each day for 10 days. The temperature drops by a total of 5 degrees.
Drag the numbers to form the equation that represents the change in the lake's temperature each day.
( ? ) ( ? ) = ( ? )
5, -5, 10, -10, 1/2, -1/2, 1/10, -1/10
Thanks
HINT: THE ANSWER IS NOT (10), (-1/2)= (-5)
Jared has a novel to read for Language Arts class. The novel has a total of 650 pages that he must read in 10 days. He estimates that he can read 25 pages in 1 hour. He plans to read for 3 hours each day. Which number below represents the coefficient of the term that represents the number of pages he can read in one day.
Is (1,5) a solution to the equation y=x-2
If you stand on a ship in a calm sea, then your height x (in feet) above sea level is related to the farthest distance y (in miles) that you can see by the equation: y=sqrt (1.5x+(x/5280)^2) how high up do you have to be to be able to see 10mi?
Final answer:
To see 10 miles into the distance, one must be approximately 593.4 feet above sea level. This is calculated by substituting y = 10 into the given formula and solving for x.
Explanation:
The student's question involves finding how high above sea level they must be to see a distance of 10 miles. We begin with the equation given:
y = sqrt(1.5x + (x/5280)^2)
We need to solve this equation for x when y is 10 miles. First, we substitute 10 for y and square both sides of the equation to eliminate the square root:
10^2 = 1.5x + (x/5280)^2100 = 1.5x + x^2/(5280^2)Multiply through by 5280^2 to simplify:
100(5280^2) = 1.5x(5280^2) + x^2100(5280^2) = 7920x^2 + x^2100(5280^2) = 7921x^2Now, we solve for x:
x^2 = 100(5280^2) / 7921x = sqrt(100(5280^2) / 7921)x ≈ sqrt(2787840000 / 7921)x ≈ sqrt(352000)x ≈ 593.4 feetTherefore, a person needs to be approximately 593.4 feet above sea level to see 10 miles into the distance.
Write words to match the expression 36÷4
find the missing coefficients
y=ax^2-10x+c
vertex :(-5,20)
beth has a total of $6000 to invest, part at 6% simple interest and part at 8% simple interest. Her return for one year is $410. How much did she invest at each rate?
When a polygon reflects across the y axis ,how do the coordinates of the points change
Find f'(a) f(t)=2t+1/t+3
A container holds 7 quarts of water. How much is this in gallons? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
when 15 minus 3 is multiplied by a number the product is 2.
Based on the provided information, you can find the value of the unknown by performing the operation (15-3), which is 12, and then dividing the product by this number. The result is 1/6, which is the number that fulfills the conditions stated in the problem.
Explanation:The subject of this problem is middle school math, specifically dealing with equations and unknowns. The problem states that 'when 15 minus 3 is multiplied by a number the product is 2'. To solve this, we use basic algebraic manipulation.
First, perform the operation 15 minus 3, which equals 12. Then, we state the problem algebraically: 12 times a certain number (let's call it 'x') equals 2. Stated as an equation, it would be 12x = 2.
To find the value of 'x', we need to isolate 'x' on one side of the equation, so we divide both sides of the equation by 12. This leaves us with x = 2/12. Simplifying the fraction gives x = 1/6.
In conclusion, the number that when multiplied by 12 (resulting from 15 minus 3), gives us a product of 2 is 1/6.
Learn more about Solving Equations here:https://brainly.com/question/29050831
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the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers
The expression 4.95+0.07x models A household monthly long distance charges where x represents the number of minutes of long-distance calls during the month what are the monthly charges for each number of long distance minutes
The expression provided models the monthly long distance telephone charges, with a fixed fee of $4.95 plus $0.07 per minute of call time. To determine the monthly charge, multiply the number of minutes by $0.07 and add the result to the base charge of $4.95.
The given expression 4.95 + 0.07x represents a model for calculating a household's monthly long distance telephone charges, where x is the number of minutes of long-distance calls. To find the monthly charges for any number of minutes (x), we simply plug in the value of x and calculate the total cost.
If a household uses 0 minutes, the cost would be $4.95 (since 4.95 + 0.07(0) = 4.95).For 100 minutes of use, the cost would be $4.95 + (0.07 x 100) = $4.95 + $7.00 = $11.95.The formula incorporates a fixed fee of $4.95, which we can see as the base charge regardless of usage, plus a variable component that depends on the number of minutes used (0.07 times the number of minutes).
Determine which statement is true about the graph of a function
In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order de y' = y − y2. find a solution of the first-order ivp consisting of this differential equation and the given initial condition. y(0) = − 1 8
mathematical modeling results in formulas that give exact values of real world phenomena over time
If a1=2, b2=3, and c3=10, the resulting value of =a1-b2+c3/10 is ____. 4 1 0 11/10
what does 3.35 equal to
State your first and last name. use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:
Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve