Answer:
A. (−2,48) B. (0,3) C. (2,3/16) Step-by-step explanation:
The given function is
[tex]f(x)=3(\frac{1}{4} )^{x}[/tex]
To find those ordered pairs that lie on the graph, we need to evaluate each of them
A. (−2,48)
[tex]f(-2)=3(\frac{1}{4} )^{-2}=3(4)^{2}=3(16)=48[/tex]
This pair lies on the graph.
B. (0,3)
[tex]f(0)=3(\frac{1}{4} )^{0}=3(1)=3[/tex]
This pair lies on the graph.
C. (2,3/16)
[tex]f(2)=3(\frac{1}{4} )^{2}=3(\frac{1}{16} )=\frac{3}{16}[/tex]
This pair also lies on the graph.
D. (12,0)
[tex]f(12)=3(\frac{1}{4} )^{12}=\frac{3}{16,777,216}[/tex]
This pair doesn't lie on the graph, because it doesn't satisfy the exponential function.
Therefore, the right asnwer are A, B and C.
A snow storm dumped 18 7/10 inches of snow in a 12 hour period. How many inches were falling per hour
I need a answer cause this is my homework Which is a true statement 5 x4 + 1 equals 25 or 3 + 7x2 equals 17
5 x 4 +1 = 20+1 = 21 this does not equal 25
3 +7*2 = 3+14 = 17 this is true
so 3+7x2 = 17 is the true statement
The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the labled x.
The length of the shorter side [tex]\( x \)[/tex] is 20 cm.
The length of each shorter side labelled [tex]\( x \)[/tex] in the hexagon is 20 cm. Here's the step-wise calculation:
1. Let [tex]\( x \)[/tex] represent the length of the shorter side.
2. The length of each longer side is given as [tex]\( 1 \)[/tex] cm more than twice a shorter side, so it is [tex]\( 2x + 1 \)[/tex] cm.
3. The perimeter of the hexagon is the sum of the lengths of all its sides, which is given as [tex]\( 162 \)[/tex] cm.
4. Since the hexagon has four shorter sides and two longer sides, the perimeter [tex]\( P \)[/tex] can be expressed as:
[tex]\[ P = 4x + 2(2x + 1) \][/tex]
5. Plugging in the given perimeter value and simplifying the equation:
[tex]\[ 162 = 4x + 4x + 2 \][/tex]
[tex]\[ 162 = 8x + 2 \][/tex]
6. Solving for [tex]\( x \)[/tex] gives:
[tex]\[ 160 = 8x \][/tex]
[tex]\[ x = \frac{160}{8} \][/tex]
[tex]\[ x = 20 \][/tex]
Therefore, the length of the shorter side [tex]\( x \)[/tex] is 20 cm.
Explain how to subtract 247 from 538
Answer:
After subtracting 247 from 538, we will get 291.
Step-by-step explanation:
We are asked to subtract 247 from 538.
Convert in a subtraction problem:
538
-247
Now, we will subtract each digit in the lower line from upper line as:
538
-247
291
Therefore, the answer to our given problem would be 291.
1. Complete the paragraph proof
Given: ∠A and ∠B are complementary, and ∠B and ∠C are complementary
Prove: ∠A ≌ ∠C
By definition of complementary angles, m∠A + _____ = 90° and m∠B + m∠C+ _______.An airplane flew 2,400 miles in 4 hours if the plane flew the same numbers of miles each hour how many miles did it fly in one hour
x+5*3 divided by 4-2=7
Answer:7 - 2 -. 8. +. 7 21. 1 8. 8 7. C. 4. 56 21. 8 8. ASSET 1. 3 7. 3 ... multiply and solve for x. Divide both sides by 2.5. 23). = = X.
Step-by-step explanation:
can someone help me with #3? please post a picture showing how you got the answer.
A 9cm wife cross section pipe has a height of 13cm . What is the volume of the pipe
To find the volume of a pipe, use the formula V = Ah where A is the cross-sectional area and h is the height of the pipe. Substituting the values given, the volume of the pipe is 826.805 cm³.
The volume of the pipe can be calculated using the formula V = Ah, where A is the cross-sectional area and h is the height of the pipe. In this case, the cross-sectional area can be found using the formula for the area of a circle, A = πr². Given that the pipe has a diameter of 9 cm, the radius (r) is half of the diameter, which is 4.5 cm.
Substitute the values into the formulas to find the volume: A = π(4.5 cm)² = 3.142 x 20.25 cm² = 63.585 cm². Now, calculate the volume using V = 63.585 cm² x 13 cm = 826.805 cm³.
PLEASE HELP
x 1 2 3 5 6
y 0 1 2 4 5 Are the paired points in a proportional relationship?
Answer:
Hope this helps. ARE NOT
Step-by-step explanation:
What is the value of the expression-2.1(4.7+(-7.4)
11/3 this is equivalent to
3.6
3.6-
3.67
3.666
9 is 63% of what number
Solve the equation 3/7k=12/35
a student answers 90% of the questions on math axam correctly. if he answers 27 questions correctly How many questions are on the exam
The total number of questions in the exam will be 30 questions.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A student answers 90% of the questions on the math exam correctly. If he answers 27 questions correctly.
Let the total question in the exam be 'x'. Then the total number of questions in the exam is calculated as,
90% of x = 27
0.90 x = 27
x = 27 / 0.90
x = 30
The total number of questions in the exam will be 30 questions.
More about the percentage link is given below.
https://brainly.com/question/8011401
$SPJ2
Multiply 6/5 x 25/24 ??
Pacey, Alex, and Paul went fishing. They each caught one fish. Alex’s weighed twice as much as Pacey’s fish. Paul’s weighed three times as much as Pacey’s fish. Total the 3 fish weighed 342lbs. How much did each boy’s fish weigh?
pacey = x
alex = 2x
paul = 3x
x + 2x + 3x = 342
6x =342
x = 342 / 6
x = 57
Pacey's fish = 57 pounds
Alex's fish = 57*2 = 114 pounds
Pauls fish = 57*3 = 171 pounds
sid is $300 in debt. he needs to get the debt down to no more than $100 within the next 8 months. if he pays the same amount each month, what is the minimum he must pay off each month to manage this?
help word problem gross
Please help me my 3rd grade teacher never though got me how to divide
Answer: 6: 300 7: 20 9: 300 10: 800 12: 800 13: 700 15: 700 16: 700
Step-by-step explanation: Step 1: D for Divide. How many times will 5 go into 65?
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5.
Step 3: S for Subtract. Next you subtract.
Step 4: B for Bring down.
Step 1: D for Divide.
Step 2: M for Multiply.
Step 3: S for Subtract.
Giving 30 points whoeve helpsssss me fasttttt. No wrong answers
Sam wants to find the best buy on cans of tuna. He reads these four ads in the newspaper. Place the ads in order from best to worst buy. [A better buy is one with a lower cost per unit.] ITEMBANK: Move to Bottom $12.53 for seven cans$5.97 for three cans$7.95 for five cans$8.34 for six cans Best 2nd Best 3rd Best Worst
Answer: 5.97 for three cans > $12.53 for seven cans > $7.95 for five cans > $8.34 for six cans
Step-by-step explanation:
Since, $12.53 for seven cans
The cost of one can = [tex]\frac{12.53}{7} = 1.79[/tex]
$5.97 for three cans
The cost of one can = [tex]\frac{5.97}{3} = 1.99[/tex]
s$7.95 for five cans
The cost of one can = [tex]\frac{7.95}{5} = 1.59[/tex]
$8.34 for six cans
The cost of one can = [tex]\frac{8.34}{6} = 1.39[/tex]
Since, 1.99 > 1.79 > 1.59 > 1.39
Therefore, the required order of prices,
5.97 for three cans > $12.53 for seven cans > $7.95 for five cans > $8.34 for six cans
Solve the equation, justify each step with an algebraic property:
-8=-18+2x
Which of the following points lies on the graph of ( x , y ) (x,y) lies on the graph of 8 x + 2 y = 24 ?
Answer:
x=3
y=12
Step-by-step explanation:
write each equation in standard form using integers. y=2x+5
To write the equation y=2x+5 in standard form with integers, subtract 2x from both sides to get -2x + y = 5. Then, multiply by -1 to make the coefficient of x positive, resulting in 2x - y = -5.
To write the equation y=2x+5 in standard form using integers, we start by moving the terms involving x and y to one side of the equation and the constant term to the other side. The standard form of a line in two dimensions is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
The given equation is already pretty close, so we subtract 2x from both sides to obtain:
-2x + y = 5
Now, we want A to be non-negative. If A is negative, we can multiply the entire equation by -1 to make A positive.
So, the equation -2x + y = 5 becomes 2x - y = -5 when multiplied by -1. This is now in standard form, with all coefficients being integers.
Three boxes are stacked one on top of the other. One box is 3 feet 7 inches tall, one is 3 feet 10 inches tall, and one is 4 feet 9 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
How to convert 18 gallons/1 hour to cups and minutes
a concrete stepping-stone measures 20 square inches. What is the area of 30 such stones?
1 stone is 20 square inches
multiply that by 30 for total
20 *30 = 600 square inches total
The slope of the graph of the equation y=2x-2 is 2. What is the y-intercept?
y-intercept =
Answer:
-2
Step-by-step explanation:
-2 is indeed correct, props to my man above me that did all that hard work.
Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.28 of the total distance the first day. If they split the remaining distance equally between the second and third days how far will they hike on day three?
Answer:
They hike 9.11 km on day three
Step-by-step explanation:
Total distance traveled on a 3 day hiking trip in the mountains = 18.5 km
The students hike 0.28 of the total distance the first day.
So, Remaining distance = 18.5 - 0.28 = 18.22
Now we are given that they split the remaining distance equally between the second and third days
So, Distance traveled by them on third = Distance traveled by them on second day = Half of the remaining distance = [tex]\frac{18.22}{2} = 9.11[/tex]
So, they hike 9.11 km on day three