hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965
Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x
select each correct answer:
(-1,4/25)
(0,0)
(1,4)
(2,2500)
The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.
The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.
x = -1
[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]
[tex]f(-1) = \frac{4}{25}[/tex]
The resulting value coincides with the value given in statement.
x = 0
[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]
[tex]f(0) = 4[/tex]
The resulting value does not coincide with the value given in statement.
x = 1
[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]
[tex]f(1) = 100[/tex]
The resulting value does not coincide with the value given in statement.
x = 2
[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]
[tex]f(2) = 2500[/tex]
The resulting value coincides with the value given in statement.
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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.
To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.
For the point (-1, 4/25):
f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25
This matches the given coordinate, so (-1, 4/25) is on the graph.
For the point (0, 0):
f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4
This doesn't match the given coordinate, so (0, 0) is not on the graph.
For the point (1, 4):
f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100
This doesn't match the given coordinate, so (1, 4) is not on the graph.
For the point (2, 2500):
f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500
This matches the given coordinate, so (2, 2500) is on the graph.
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Find the take-home percent of the gross pay: net pay $453.10, gross pay$734
50%
16%
162%
62%
Answer:
Option D. 62%
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734.00
We have to find the take-home percent of the gross pay.
We will divide net pay by gross pay and multiply by 100.
Percent of the gross pay = [tex]\frac{453.10}{734}\times 100[/tex]
= 0.617302452 × 100
= 61.73 ≈ 62%
The take-home percent of the gross pay would be 62%.
Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours
What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
The required least common denominator for the fraction is 70.
Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.
The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70
Thus, the required least common denominator for the fraction is 70.
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Beth bought a T-shirt for $14.98 and a pair of shorts for $23.59. How much did Beth spend?
Answer:
38.57
Step-by-step explanation:
A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?
Need help on my homework so if somebody could at least help me
Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams
Me. Driscoll has 9 reports to grade. There are 6 page for each report. He grades 12 pages. How many pages does he still have to grade?
Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40
Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering
A passenger train has 15 cars that each hold the same number of passengers. The train is filled with 1,020 passengers. How many passengers does each car hold?
Enter M for multiplication or D for division.
I need to know all of these
In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximately 3.04 x 10^8 people. What is the combined population of North and South America for this year?
A) 8.19 x 10^16 people
B) 8.19 x 10^9 people
C) 8.19 x 10^8 people
D) 8.19 x 10^64 people
the line parallel to 3x + y = 8 that passes through (0, -4)
An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.
If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
972 square feet=972/10.8
=90 square meters.
Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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yesterday Bethany sent 60 text message she said that 15% of those messages or to her best friend how many text messages did Bethany sent to her friend yesterday
Answer:
15 texts
Step-by-step explanation:
Dev knows he only has 8 gallons of gasoline in the tank he wants to go on a 300-mile trip will he have to buy more gasoline?
-2(v+5)-4v
use the distributive property to simplify.
PLS help!
Which pair represents equivalent ratios? 2/3 or 9/15
Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?
Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens
Perform the following calculation: (–16) – (–42)
alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?
i need help with this problem even though it is easy.
what is 12 / 14
The dance committee has 1036 flowers.They want to divide the flowers evenly among 28 centerpieces.How many flowers will be in each centerpiece? A 28 B 34 C 37 D 40
2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b
Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?
What are the domain and range of the function?
X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27
Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}