Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 70(0.96)

Answer:

i think

-17x^2 +3x

.....

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c.  (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

Answer:

Step-by-step explanation:

From the table we see that:

If you have t minutes to complete the test then required inequality is:

Answer:

4x⁶(1+2x²)²

Step-by-step explanation:

Factor out the common term 2x³

Use Multiplication Distributive Property: (xy)^a=x^a y^a

Simplify 2² to 4

The use the power rule and you get 4x⁶(1+2x²)²

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees

Answer:

1,873,000

Step-by-step explanation:

Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.

Step-by-step explanation:Have a great day

Answer: 264

Step-by-step explanation:

Answer:

the answer is 6a

Step-by-step explanation:

-48/-8=6

a^2/a=a

combine 6 and a to get 6a.

hope it helped

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

Answer:

False

True

False

True

False

Step-by-step explanation:

Use corresponding parts of similar polygons

Answer:

Ok first one true second one true and and the third one false and forth one true and fith one false so look at the bottom for better help

Step-by-step explanation:

1. True

2. True

3. False

4. True

5. False

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

Step-by-step explanation:

[tex]y^2=10-x^2\\ \\ 0=10-\sqrt{10}^2\\ \\ 0=10-10\\ \\ 0=0\\ \\ (\sqrt{10},\ 0)[/tex]

Answer: 51 pounds

Step-by-step explanation:

Since the goat weighed 6 3/8 pounds and weighed 8 times as much by age 3, the weight of the goat at age 3 will be gotten by multiplying 6 3/8 by 8. This will be:

= 6 3/8 × 8

We change 6 3/8 to an improper Fraction

= 51/8 × 8

= 51 pounds

The weight is 51 pounds

Answer:

7

when dividing exponents with the same base, you subtract them. so, 11-7 = 4

Answer:If my calculations are correct and my rounding I would show you my work but I cant upload the picture but I think about

38

Step-by-step explanation:

I=Hope I helped if so can I please have brainliest :)

Answer:

39

Step-by-step explanation: i dont know i just got a 100 on the worksheet

Answer:

Monkey says NO

Step-by-step explanation:

It was close, but banana was 1.7 banana short. sorry for your loss.

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B

Answer:

Step-by-step explanation:

-2x + 6 = -6

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

⚡Hi⚡

-2x + 6 = -6

2x = 12

x = 6

Delete my account please.

Answer:

either 17.5 or 10

Step-by-step explanation:

if you minus 40 3 times you get 17.5

Answer: X=23

<u is 75

< v is 29

<w is 76

Step-by-step explanation:

< u + < v +< w = 180

<w + 3x+35 = 180

so 3x+35= <v+ <u

3x+35=x+52+x+6

3x+35= 2x+58

x+35=58

x= 23

so each angle

U= (23+52)= 75

V= (23+6)= 29

W=180-75-29= 76

or 3(23)+35+w=180

104+w=180

w= 76

Answer:

67.5

67.5

40

Answer:

x = 22.5

top angle = 45

bottom angles = 67.5

Step-by-step explanation:

2x + 3x +3x = 180

8x = 180

x = 22.5

2x

2(22.5) = 45

3x

3(22.5) = 67.5

45 + 67.5 + 67.5 = 180

Answer:

6

Step-by-step explanation:

add the two exponents

Answer:

Step-by-step explanation:

Add all the powers of the term.

4 + 2 = 6

Degree = 6

Answer: it would be the "=" sign

Step-by-step explanation: this is because 2/3 and 6/9 are equivalent fractions. you want to find the greatest common factor between 6 and 9 which is 3. you multiply that by the numerator and denominator. therefore, the symbol that compares these mixed numbers is "=".

Answer:65

Step-by-step explanation:

Length of first, second and third piece are 5, 15 ,25 inch

Given that;

Length of board = 45 inch

Second cut is 3 times as long as the first piece

Third cut is 5 times as long as the first piece

Find:

Length of all three piece

Computation:

Assume;

Length of first piece = a

So,

Length of second piece = 3a

Length of third piece = 5a

So,

Length of first piece + Length of second piece + Length of third piece = Total length

a + 3a + 5a = 45

9a = 45

a = 5

So,

Length of first piece = a

Length of first piece = 5 inch

Length of second piece = 3a = 3(5)

Length of second piece = 15 inch

Length of third piece = 5a = 5(5)

Length of third piece = 25 inch

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