An exponential number is the product of the base multiplied by itself "n" times.
A number that is formed by repeated multiplication by the same factor is called an exponential number or a power. It is typically represented in the form "a^n," where "a" is the base and "n" is the exponent. The exponent indicates how many times the base is multiplied by itself.
For example:
2³ is read as "2 raised to the power of 3," and it means 2 × 2 × 2 = 8.
3² is read as "3 raised to the power of 4," and it means 3 ×3 × 3 × 3 = 81.
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what is the inverse of the function below f(x) =x/5 -2
Answer:
[tex]y=5x+10[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{5} -2[/tex]
To find the inverse of the function we do the following steps
Replace f(x) with y
[tex]y=\frac{x}{5} -2[/tex]
Replace y with x and x with y
[tex]x=\frac{y}{5} -2[/tex]
Solve the equation for y
Add 2 on both sides
[tex]x+2=\frac{y}{5}[/tex]
Now multiply by 5 on both sides
[tex]5(x+2)=y[/tex]
Now distribute 5 inside the parenthesis
[tex]5x+10= y[/tex]
[tex]y=5x+10[/tex]
The line plot above shows the distance in miles Luna runs each day. What is the difference in distance between the fewest miles she ran and the most miles she ran in a day?
A) 2 1/2
B) 3
C) 4
D) 1/2
Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagram is not drawn to scale.
30 yards of fabric is needed to make 10 dresses.The fabric roll is stamped 1200 inches .How many yards do you have
These data show the age in years of 9 members of the youth orchestra.
12 14 16 17.5 10 18 15 15.5 19
What is the IQR (interquartile range) for these data?
4.75
9.00
15.50
17.75
Hey there!
the answer is 4.75.
4.75 is the IQR for the data
Hopes this helps u :)
Answer:
[tex]IQR=4.75[/tex]
Step-by-step explanation:
The given data is:
12,14,16,17.5,10,18,15,15.5,19
In order to find the interquartile range, we have to arrange the given data set in ascending order, thus
10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
Now, the lower quartile is: 10, 12, 14, 15
Median is given as:
[tex]M=\frac{14+16}{2}=\frac{26}{2}=13[/tex]
And the upper quartile is given as:
16, 17.5, 18, 19
Median is given as:
[tex]M=\frac{17.5+18}{2}=17.75[/tex]
thus, the Interquartile range is given as:
[tex]IQR=Upper quartile-Lower quartile[/tex]
[tex]IQR=17.75-13[/tex]
[tex]IQR=4.75[/tex]
(50 POINTS)
A table of values for Function A and the graph of Function B are shown. State the slope of Function B
Answer:
bruh it's only 5 points
what is the length of the hypotenuse of a right triangle with sides that measure 5 in. and 12 in
Keelahs clothing store buys coats for $50 and then sells them for $80. What is the percent markup on the price of the coat.
The percent markup is 60%
Work is attached in the image provided.
Find the numerator of the equivalent fraction with the denominator 12x - 2/3
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
The correct answer is:
1 1⁄2 qt = 6 cups
6 cups - 3 1⁄2 cups = 2 1⁄2 cups = 20 oz
20 oz ÷ 2 = 10 oz = 1 cup + 2 oz
WILL GIVE BRAINLIEST AND RATE!
Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?
A. Michael can make fewer than 13 batches of cookies.
B. Michael can make fewer than 14 batches of cookies.
C. Michael can make fewer than 15 batches of cookies.
D. Michael can make fewer than 26 batches of cookies.
Answer:
A
Step-by-step explanation:
A cone - shaped building has a height of 6 meters and a base with a diameter of 10 meters. The building will be filled with road salt that costs $25 per cubic meter. How much will it cost to fill the building with road salt? Use 3.14 for π Round to the nearest hundredth HELP ME ASAP!!!!
The width of a rectangle is half its length. What if the perimeter of a rectangle with width 26 feet?
A. 39 feet
B. 52. feet
C. 78 feet
D. 156 feet
Answer:
The answer is B. 52. feet
Step-by-step explanation:
26 times (X) 2 = 52. feet because;
26 + 26 = 52
Final Answer:
B. 52. feet
Extra:
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how do you convert minutes to seconds
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
A) y = x2 + 3
B) y = x2 - 6
C) y = x2 + 6
D) y = (x + 6)2
In this exercise we have to use the knowledge of quadratic equations and graphs to identify the correct alternative, so we have;
Letter A
Remembering what a quadratic function looks like and its form:
[tex]y=x^2[/tex]
where X is the quadratic form, we know that we see that in the graph we have to go down 3 units, we can write it as follows:
[tex]y=x^2+3[/tex]
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8 to the thrid power
Quadrilateral ACEG≅Quadrilateral PRMN
Which statement is true?
EG≅MN
AC≅MR
AG≅MP
CE≅NP
Answer:
a
Step-by-step explanation:
EG≅MN
Quadrilateral MNPQ has vertices at (−3, 5), (−4, 6), (−5, 7), and (−6, 8). If the Quadrilateral MNPQ is reflected over the x−axis, what will the new coordinates be?
(3, 5), (4, 6), (5, 7), (6, 8)
(5, −3), (6, −4), (7, −5), (8, −6)
(−3, −5), (−4, −6), (−5, −7), (−6, −8)
(3, −5), (4, −6), (5, −7), (6, −8)
Hello there!
The answer is D.
which of the following are necessary when proving that the opposite side of a parallelogram are congruent?
Answer: If anyone needs this in more simple terms it would be, “Alternate interior angles are congruent” and “ corresponding parts of congruent triangles are congruent“
Step-by-step explanation: The rules of parallelograms, the quotes are from Ap3x (it registered as a link)
Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!
Answer:
The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other
Step-by-step explanation:
The lines are co-incident so all the points on the graph are equal but the graph would look like this
Need help with pythgoream theorem
A pedigree chart is used to?
I am a solid figure with two congruent polygons that are based connected with lateral faces that are rectangles
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
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When are two triangles said to be in perspective?
a.
If the corresponding vertices of two triangles form three lines that intersect in a single point
c.
If the corresponding vertices of four triangles form three lines that intersect in a single point
b.
If the corresponding vertices of three triangles form three lines that intersect in a single point
d.
If the corresponding vertices of two triangles form three lines that intersect in two points.
Can anyone help me please?
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
What is the d in 3.5d=70
I need help with this work sheet in algebra 2 I need some understanding can someone please help me?
Does anyone know these answers