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UNO [17]
3 years ago
6

Hello someone please help !! Will mark brainliest

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

  a) domain: (0, ∞)

  b) range: (-∞, ∞)

  c) increasing everywhere

  d) concave downward

Step-by-step explanation:

a) Your knowledge of the log function tells you it is defined for positive arguments. 9x > 0 means x > 0. The domain is all positive real numbers.

__

b) Your knowledge of the log function tells you it has output values ranging from -∞ to +∞. The range is all real numbers.

__

c) The function is monotonically increasing.

__

d) Since the output does not increase as fast as the input (the first derivative is decreasing), the function is concave downward.

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Help please! I'll give a brainliest for the best and the correct answer loves!
Fofino [41]
15x10=150
Subtract 5x5=25 small square cut out
150 -25= 125 sq ft
D
3 0
3 years ago
The cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks. The property has 67 f
Strike441 [17]

1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. This can obtained by using the formula of Area of a Triangle with 2 Sides and Included Angle.

<h3>Find the area of the cheetah area at the zoo:</h3>

Area of a triangle is obtained using the formula of Area of a Triangle with 2 Sides and Included Angle.

If in a triangle ΔABC,

  • 1/2 × bc × sin(A), if b and c are two sides of a triangle and angle A is the included angle
  • 1/2 × ac × sin(B), if a and c are two sides of a triangle and angle B is the included angle
  • 1/2 × ab × sin(C), if a and b are two sides of a triangle and angle C is the included angle

Here it is given that,

67 feet and 48 feet are the sides of the triangular space and angle 72° is the included angle.

By using the formula of Area of a Triangle with 2 Sides and Included Angle,

Area of the cheetah area = 1/2 × bc × sin(A)

Area of the cheetah area = 1/2 × (67)(48) × sin(72°)

sin(72°) = 0.951056516

Area of the cheetah area = 1608 × 0.951056516

Area of the cheetah area = 1529.29888 ≈ 1529.3 square unit

             

Hence 1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle.

   

Learn more about area of triangle here:

brainly.com/question/19305981

#SPJ1

7 0
1 year ago
The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would
vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

T_A=4.225+1.375+3=8.6

The total sales tax for Florida is:

T_F=6.5+1+1.625=9.125

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

ST_A=1500\cdot T_A=1500\cdot 0.086=129

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0
3 years ago
A
aleksandr82 [10.1K]

Answer:

x=67

y=40

The angles equal 63 and 117

Step-by-step explanation:

88% sure

5 0
3 years ago
Find the quotient 7.980 divided by 0.19
Advocard [28]
The answer 7980 divided by .19 =/is 42.  
5 0
3 years ago
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