If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :​

Answers

Answer 1

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer 2

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16


Related Questions

A
The length of Kathy's rectangular
garden is 4 feet more than the width. If
the perimeter of her garden is 40 feet,
what is the length of Kathy's garden?

Answers

Half the perimeter is the length + the width.

Let the width = x

The length is x + 4. ( 4 feet more than the width)

Now you have x + x + 4 = 20

Combine like terms:

2x + 4 = 20

Subtract 4 from both sides:

2x = 16

Divide both sides by 2:

X = 8

The width is 8 feet

The length is 8 + 4 = 12 feet

Answer:12

Step-by-step explanation:

because im smart

Analyzing Statements about a Right Cone
Which statements are true? Check all that apply.
The radius of the cone is 9 units.
The height of the cone is 15 units.
The height of the cone is 12 units.
The volume of the cone is represented by the expression 17(15)2(9).
The volume of the cone is represented by the expression 17(9)2(12). ​

Answers

the height of the cone is 12 units , the volume of the come is represented by the expresiion 17(15)2(9)

please solve! thanks!

Answers

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

why won't anybody help me?

Answers

Answer:

b. -4 an C  then A

Step-by-step explanation:

hope this helps!

Answer:

It will be 4

Step-by-step explanation:

i know

Solve this equation. Enter your answer in the box
- e- je= -24
e =
I

Answers

e=16 hope it helps :)


Use similar triangles and a proportion to find the length of the lake shown here.
(Hint: The side 92 m long in the smaller triangle corresponds to side of 92 m + 112 m = 204 m in the larger triangle.)
N= m

Answers

Answer: n = 152 m

Step-by-step explanation:

write a proportion to find n.

46/n = 92/204

n = 102 m

The length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

What is similar triangle's proportion property?

In the two similar triangle, the ratio of two sides of one triangle is equal to the ratio of corresponding sides of the other triangle.

In the figure shown,

The length of the base of the smaller triangle is 92 meters, The height of this triangle is 46 meters.

The total length of the base of the larger triangle is,

[tex]112+92=204\rm\; m[/tex]

The height of this triangle is n meters, which is equal to the length of lack. Thus, by the similar triangle proportion property,

[tex]\dfrac{n}{204}=\dfrac{46}{92}\\n=\dfrac{46\times204}{92}\\n=120\rm\; meters[/tex]

Thus, the length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

#SPJ2

2 (y-1) ≥8

please answer

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 5

Step-by-step explanation:

Distribute

2y - 2 = 8

     +2.     +2

2y/2 = 10/2

y = 5

42 is how much greater then 27

Answers

Answer:

15

Step-by-step explanation:

42 - 27= 15

15 + 27 = 42

Therefore, 15 is the answer

the sequence of the numbers below is missing an eighth value. which of the following is the missing value? sequence: 5, 6, 8, 11, 15, 20, 26, __, 41

Answers

Answer:

D - 33

Step-by-step explanation:

From 5 to 6, the number is increasing by 1. Then from 6 to 8, it increases by 2. From 8 to 11 it increases by 3. This pattern continues throughout the entire sequence. Since between 20 and 26, it increases by 6, 26+7 should equal the number between 26 and 41. This number would be 33.

Write a system of linear inequalities represented by the graph.

Inequality 1:
Inequality 2:

Answers

Answer:

x ≥ -1

y < 3

Step-by-step explanation:

Answer:

Inequality 1: x ≽-1

Inequality 2: x ≼ 3

T-T help me I can't think

Answers

Answer:

81 square inches

Step-by-step explanation:

area of a square= s^2

What is the principal square root of 16?
O A. 2
O B. -4
O C. -2
O D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

We know that the square of (+4) is 16 and also for (—4) is 16. We normally takes interest in positive square value for a square root. Therefore, The principal square root of 16 is 4

Yo se que es eso si no pues ni modo XD

D.4

- 7r - 3r - 8 = 24.

Answers

Answer:

24

Step-by-step explanation:

y+1=2(x-4) graph the equation

Answers

M a t h w a y will help you my friend!

I was struggling with math and using it got me get back on track :)


Find the missing angle

Answers

M 1: 64
M 2: 49
M 3: 87
M 4: 44

Please help me





Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.

Answers

Answer:

depends on the other side, so... maybe

Step-by-step explanation:

If you have a rectangle and you know one side is 5.25, then if the perpendicular side looks about the same length or longer, then the area of the rectangle is at least 25.

Imagine you have a rectangle with a known base of 5.25, then if the rectangle is at least as tall as it is wide, then the area is over 25.  If the rectangle is very close to a square then the area should be near 25, and if the rectangle is visually shorter than it is wide then the area is less than 25

Given that = 3.14, calculate the circumference of the circle with radius 10cm.

Answers

62.8 cm is the answer
≈62.83cm

Using the circumference formula, we get that C=2(3.14)10=62.83

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of$65. How much money was each of bags dog food?

Answers

Each bag of dog food was $7

$7
I am pretty sure the person above is right
65 (amount spent) +5 (coupon amount) is 70 and 70 (total cost) /10 (number of bags bought) is 7, which would be the individual cost

Which BEST describes a right prism?
A)
solid figure with two identical bases and triangular faces
B)
solid figure with two identical bases and identical triangular faces
C)
solid figure with two identical bases and rectangular faces
D)
solid figure with two identical bases and identical rectangular faces

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

because B is wrong

Help me plssss!!!!!!

Answers

Answer:

take a clear pic and re-upload......

me ayuda con este ejercicio
[tex]( + 1)( + 3)[/tex]

Answers

1×3 = 3

answer is + 3

Help! 1/6 of 2 yards is how many feet?

Answers

Answer:

1 foot

Step-by-step explanation:

1 yard = 3 ft

[tex]2*1 yard= 2*3feet[/tex]

2 yards = 6 feet

[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)

So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.

HELP I NEED HELP ASAP

Answers

Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

PLS PLS PLS HELP 100 POINTS no scamming

Answers

Answer:

parallelogram:

Hexagon:

Triangle:

Step-by-step explanation:

Answer:

uh what is scamming?????

Prism A is similar to Prism B. The volume of Prism A is 2790 cm3. What is the volume of Prism B?

21, 760 cm3
1360 cm3
680 cm3
340 cm4

Answers

Answer:

D

Step-by-step explanation:


Use the figure to complete the proportion
?/h=h/?

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

me question
Javier is building a rectangular case that has a length of 28 centimeters, a width of 20 centimeters, and a height of 14 centimeters. He decides to
change the height to be 2 times the original height.
What will happen to the volume of the case when the height is changed? Enter the answer in the box to complete the statement.
The volume of the new case will be___times the volume of the original case. I’m

Answers

Answer: I got 3

Step-by-step explanation:

14 + 14 + 14 would give you 42. 28x20x24 = 23,520. (The original volume was 7,840) If you do 7,840x3 you would get 23,520 so the new volume would be 3 times higher

helppppp!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

1.1(1.8)(2.5)=4.95

Can some one help please

Answers

Answer:

204

Step-by-step explanation:

separate into 2 squares/rectangles

13×12(because 20-8 since you cut it in half)

8×6

156+48=204

help quickly, please! I'll mark you brainliest if you're right!

Answers

Answer:

C 803.8 in2

Step-by-step explanation:

Answer:

the answer is C 803.8 in2

Step-by-step explanation:

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