The ordered pairs lie on the graph of the exponential function [tex]\rm f(x) = 4(5)^{2x}[/tex] is (2,2500) and this can be determined by using the arithmetic operations.
Given :
Exponential Function --- [tex]\rm f(x) = 4(5)^{2x}[/tex]
The following steps can be used in order to determine the ordered pairs lie on the graph of the exponential function:
Step 1 - Write the exponential function.
[tex]\rm f(x) = 4(5)^{2x}[/tex]
Step 2 - Substitute the value of (x = -1425) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times -1425}[/tex]
[tex]\rm f(x) = 4(5)^{-2850}[/tex]
By simplifying the above function it does not give the value of f(x) = -1425, therefore, option (A) is incorrect.
Step 3 - Substitute the value of (x = 0) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times 0}[/tex]
f(x) = 4
Therefore, option (B) is also incorrect.
Step 4 - Substitute the value of (x = 1) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times 1}[/tex]
f(x) = 100
Therefore, option (C) is also incorrect.
Step 5 - Substitute the value of (x = 2) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times2}[/tex]
f(x) = 2500
Therefore, option (D) is correct.
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Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
∠2
∠3
∠7
∠8
Answer:
Its 2
Step-by-step explanation:
i did the test :)
there are 6 photos on the wall.there are 2 photos in each row. how many rows of photos are there
There are 3 rows of photos on the wall.
Explanation:To determine the number of rows, we need to divide the total number of photos by the number of photos in each row. In this case, there are 6 photos and 2 photos in each row. So, we divide 6 by 2:
6 ÷ 2 = 3
Therefore, there are 3 rows of photos on the wall.
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Jami jogged 1/3 of a mile in 1/6 of an hour. What was her speed in miles per hour?
there are 6 1/6 per hour
multiply 1/3 by 6
1/3 * 6 = 6/3 = 2 miles per hour
One weekend, Nate compared his history homework to his younger sister Caroline’s social studies homework. He found that for every 2 1−3 pages he had to read for homework, Caroline had to read one page for homework. How many pages did Nate read for every three pages Caroline read?
he read 2 1/3 pages to her one
so 2 1/3 * 3 =
7/3 * 3 = 21/3 = 7 pages
How do I solve this?
of 60 books on a bookself, 24 are nonfiction what percent of the books are not nonfiction?
All of the following expressions are equivalent except _____.
2 - x
x - 2
-2 + x
x + (-2)
Hello! Your answer would be A. 2 - x.
God bless! :)
If Sawyer makes $15 an hour, which equation represents his earnings? Question 1 options: W = 15h W = 15/h W = h/15 W = 15 + h
Which set is a function?
A)
{(0,3), (3,0), (0,4), (4,0)}
B)
{(0,2), (2,0), (4,6), (6,4)}
C)
{(2,6), (3,6), (4,6), (2,0)}
D)
{(6,2), (2,0), (4,6), (6,4)}
Final answer:
Set B is the only set that represents a function.
Explanation:
A function is a relation in which each element of the domain is mapped to a single, unique value in the range. In set A, there are two distinct ordered pairs with the same first element, making it not a function. In set B, each member of the domain occurs in just one ordered pair, making it a function. Therefore, set B is the only set that represents a function.
Team Tool Bella canoed 15 3/4 miles in 5 1/4 hours. What was their average speed in miles per hour
we know that
To find the average speed divide the total distance by the time
In this problem we have
[tex]total\ distance=15\frac{3}{4}\ miles[/tex]
[tex]time=5\frac{1}{4}\ hours[/tex]
Convert mixed numbers to an improper fractions
[tex]total\ distance=15\frac{3}{4}\ miles=\frac{15*4+3}{4} =\frac{63}{4}\ miles[/tex]
[tex]time=5\frac{1}{4}\ hours=\frac{5*4+1}{4} =\frac{21}{4}\ hours[/tex]
Divide the total distance by the time
[tex]\frac{(63/4)}{(21/4)} =\frac{63}{21} =3\frac{miles}{hours}[/tex]
therefore
the answer is
the average speed is [tex]3\frac{miles}{hours}[/tex]
Every week, Mr. Kirkson uses 316 gallon of water to water every 13 square foot of his garden.How many gallons of water does Mr. Kirkson use per square foot to water his garden each week?
Enter your answer in the box as a fraction in simplest form.
what is 1.59 in expanded form
Divide.
−513÷234
−1256
−7512
−13133
−11112
Answer:
2.19, -1,253, -8,765, -21,898, -33,010
Step-by-step explanation:
Answer: The answer is not 2.19, -1,253, -8,765, -21,898, -33,010 it is -1 31/33
Step-by-step explanation: This question was on my quiz and I got it right.
What is the cost of the bill if a drink costs $3, a meal costs $20
Simplify each expression by distributing and combing like terms
-9(m+2)+4(6-7m)
What is the slope of this line?
Hhhhhhheeeeeeelllllllppppppp
how many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long
Answer:So 5/16 foot pieces from a 1 9/16 feet long piece of wood. OK so this is easy what we do is we do 1 9/16 divided by 5/16 which we switch 1 9/16 to 25/16 divided by 5/16 so we keep 25/16 switch the division symbol to a multiplication symbol and flip the 5/16 so now we have 25/16*16/5 which is 400/80 we can simplify to 5. So a 1 9/16 foot long board can make 5 5/16 pieces of wood.
Step-by-step explanation:
Omar owns a sandwich shop, and his best selling sandwich is the BLT. When making BLT sandwiches, it takes 3/4 of a pound of bacon to make 4 sandwhiches. he uses 1 1/20 pounds of bacon for every 2 tomatoes used and 5 tomatoes for every full head of lettuce used. If Omar is making enough BLT sandwiches to use 2 full heads of lettuce, then he is going to use blank pounds of bacon and will make a total of blank blt sandwiches.
He is going to use 21/4 pounds of bacon.
He will make a total of 28 BLT sandwiches.
Step-by-step explanation:It is given that:
for every full head of lettuce used the number of tomatoes used are: 5This means that when he used 2 full heads of lettuce then the number of tomatoes which are used are: 10
( since for 1 head of lettuce --- 5 tomatoes are used.
and for 2 head lettuce---- 5×2=10 tomatoes are used )
Now, it is given that for every two tomatoes used 1 1/20 pounds of bacon is used.i.e. for every 2 tomatoes -- 21/20 pounds of bacon is used.
Hence, for 1 tomato--- (21/20)×(1/2) pound of bacon is used.
i.e. for 1 tomato ---- 21/40 pound of bacon is used.
Hence, for 10 tomatoes ---(21/40)1×10 pounds of bacon is used.
i.e. for 10 tomatoes ---- 21/4 pounds of bacon is used.
Now, it is given that:with the help of 3/4 pounds of bacon 4 sandwiches are made.
Hence, with the help of 1 pound of bacon 16/3 sandwiches will be made.
Hence, with the help of 21/4 pounds of bacon (16/3)×(21/4) sandwiches could be made.
i.e. with the help of 21/4 pounds of bacon 28 sandwiches could be made.
To calculate the amount of bacon Omar will use to make BLT sandwiches and the total number of sandwiches, we follow the given conversion factors. We set up proportions to find the amount of bacon used for the total sandwiches and the two full heads of lettuce. The total number of sandwiches is found by dividing the number of tomatoes by 5.
Explanation:To calculate the amount of bacon Omar will use to make BLT sandwiches and the total number of sandwiches, we need to follow the given conversion factors. 1. For every 4 sandwiches, 3/4 of a pound of bacon is used. So, we can set up a proportion: 3/4 pound / 4 sandwiches = x pound / total sandwiches. Solving for x will give us the amount of bacon used for the total sandwiches. 2. For every 2 tomatoes, 1 1/20 pounds of bacon is used. Since Omar is using 5 tomatoes for two full heads of lettuce, we can set up another proportion: 1 1/20 pounds / 2 tomatoes = x pound / 5 tomatoes. Solving for x will give us the amount of bacon used for the two full heads of lettuce. To find the total amount of bacon used, we add the amount used in the sandwiches to the amount used for the lettuce. Finally, the total number of sandwiches can be found by dividing the number of tomatoes by 5.
Solve each equation. Check your solution.
3 1/10s = 6 1/5 = ?
2 2/9 = -4/5m = ?
-2 4/5 = -3 1/2n = ?
which Statement describes what these four powers have in common? 4^0 (-2)^0 (1/3)^0
A. all the powers have a value a value of 0 because the exponent is zero
B. all the powers have the value of 1 because the exponent is zero
Answer:
Option B is correct
all the powers have the value of 1 because the exponent is zero
Step-by-step explanation:
Using the exponent rule:
[tex]a^0 = 1[/tex] for any real number a.
Given that:
[tex]4^0 = 1[/tex]
[tex](-2)^0 = 1[/tex]
[tex](\frac{1}{3})^0 = 1[/tex]
⇒all the powers have the value of 1 because the exponent is zero
Therefore, the Statement describes what these four powers have in common is, all the powers have the value of 1 because the exponent is zero
PLS HELP ME ASAP algebra
Hey principal evenly distribute six copies of paper to eat fifth grade teachers. How many copies of paper does the fifth graders teachers receive.
Which product is negative?
−4⋅(−6)⋅(−3)⋅(−5)
−3⋅5⋅(−6)⋅4
−7⋅(−3)⋅(−9)⋅0
−3⋅4⋅(−2)⋅(−7)
the graph shows the height of 10 sunflower grown in pjs garden
Answer:
B. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We have been given a graph that shows the height of the 10 sunflowers grown in PJ's garden. We are asked to find the probability that the 11th flower will be at least 60 inches.
[tex]\text{Probability}=\frac{\text{Total number of favorable outcomes}}{\text{total number of possible outcomes}}[/tex]
From the given experiment we can see that there are 5 sunflowers with height more than or equal to 60 inches, so total number of favorable outcomes is 5.
Since there are total 10 sunflowers, so total number of possible outcomes is 10. Upon substituting our given values in probability formula we will get,
[tex]P(\text{The 11th plant will be at least 60 inches})=\frac{5}{10}[/tex]
[tex]P(\text{The 11th plant will be at least 60 inches})=\frac{1}{2}[/tex]
Therefore, the probability that 11th plant will be at least 60 inches is [tex]\frac{1}{2}[/tex] and option B is the correct choice.
How do you solve 2x cubed + 3x squared -2x -3 = 0
Solve for x:
negative 3 over 2, multiplied by x minus 9 equals negative 27
−24
−12
11
12
Answer:
x=12
Hope this helps :)
a concrete patio is 5 2/3 feet wide. it has an area of 36 5/6 square feet. Is the concrete slab long enough to fit a 7 foot picnic table without placing the table along the diagonal of the patio? Explain
Answer:
No
Step-by-step explanation:
W are given that a concrete patio is [tex]5\frac{2}{3}[/tex] feet wide
and area of of concrete patio is [tex]36\frac{5}{6}[/tex]
We have to find out the length of concrete slab is 7 foot or not.
We know that area of rectangle =[tex]l\timesb[/tex]
Let length of concrete patio =x foot
Breadth of concrete patio =[tex]\frac{17}{3}[/tex] feet
Area of concrete patio =[tex]\frac{221}{6}[/tex]
Using formula
[tex]\frac{221}{6}=\frac{17}{3}\times x[/tex]
[tex]\frac{221}{6}\times \frac{3}{17}=x[/tex]
[tex]x=\frac{13}{2}[/tex] foot=6.5 foot
Hence, length of concrete slab is 6.5 foot not 7 foot.Therefore, 7 foot picnic table will no fit.
The concrete slab is not long enough to fit the picnic table.
The concrete patio is in the shape of a rectangle. A rectangle is an object that has four sides. The diagonal is the length from angle of the rectangle to the other angle of the rectangle.
The area of a rectangle = length x width
length = area / width
[tex]36\frac{5}{6}[/tex] ÷ [tex]5\frac{2}{3}[/tex]
Convert to improper fractions
[tex]\frac{221}{6}[/tex] ÷[tex]\frac{17}{3}[/tex]
[tex]\frac{221}{6}[/tex] x [tex]\frac{3}{17}[/tex] = [tex]\frac{13}{2}[/tex]
length = 6.50 feet
The length of the patio is less than the length of the picnic table.
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A package of dried fruit weighs 1/2 of a pound if one serving size is 1/8 of a pound how many servings would be in the package
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 3x
y = 1.4x
y = 2.2x
y=12x
Answer:
Step-by-step explanation:
Answer:
y=2.2x
y=3x
Step-by-step explanation:
Took the test and got it correct