need help with radical expressions

Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

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Answer:

x=2, y=3

Step-by-step explanation:

Answer: 4 centimeters is 30 and then you would have to find half of 15 I'm pretty sure that's 7.5. Is there an answer that says: 37.5?

Answer:

37.50

Step-by-step explanation:

i think sorry if im wrong

Answer:

[tex]\mathbf{512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2}[/tex]

Step-by-step explanation:

Prime numbers are those numbers in which they can be divided by itself and 1. They are formed by two natural numbers higher than 1 but not by multiplying natural numbers that are smaller.

So; using index notation to writing 512 as a product of primes; we have:

[tex]\mathbf{512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2}[/tex]

Answer:

3/10

Step-by-step explanation:

0.3 is 3 divided by 10, or 3/10

Answer:

1.1×10^-4

Step-by-step explanation:

we move the point from where to in between 1.1 and counts the number of numbers it has crossed..in this case it 4...which should be -4

Answer:

560 cubes

Step-by-step explanation:

width: 8 cubes

length: 10 cubes

height: 7 cubes

volume: 8*10*7=560

divided l, w, and h by 1/3 to get them in cubes

Answer:

Step-by-step explanation:

The awnser is multiply by 9 then multiply by 2

Answer:

Step-by-step explanation:

2

(a )square root of 2 (c)

Answer:

Step-by-step explanation:

Answer:

d = 19

Step-by-step explanation:

________________________________

FACTS TO KNOW BEFORE SOLVING :-

For a cuboid with dimensions l , b & h ,

Diagonal of a cuboid = [tex]\sqrt{l^{2} + b^{2} + h^{2}}[/tex]

________________________________

According to the question ,

l = 10 ; b = 6 ; h = 15

So , Diagonal of the cuboid (d) =

[tex]d = \sqrt{10^{2} + 6^{2} + 15^{2}} = \sqrt{100 + 36 + 225} = \sqrt{361} = 19[/tex]

Answer:

(2x + 5b) • (2x - 5b)

Step-by-step explanation:

or at least that's what I got

The distance of the pigeon from the nest is 5.8 km.

In order to determine the distance of the pigeon from its nest, the Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where:

3² + 5²

= 9 + 25

= 34

√34 = 5.8 km.

To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

The sequence will be {36, 33, 30, 27, ....}. Then the correct option is B.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

[tex]\rm a_n = a_1 + (n - 1)d[/tex]

Teegan accidentally ran over a nail while driving to school today.

Air is leaking out of her tire at a rate of 3 psi (pounds per square inch) per day.

If her tire has 36 psi now.

Then we have

a₁ = 36

d = -3

Then the sequence will be

The second term will be

a₂ = 36 + (2 – 1)-3

a₂ = 33

The third term will be

a₃ = 36 + (3 – 1)-3

a₃ = 30

The fourth term will be

a₄ = 36 + (4 – 1)-3

a₄ = 27

Then the sequence will be {36, 33, 30, 27, ....}.

Then the correct option is B.

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Answer:

{36, 33, 30, 27}

Step-by-step explanation:

It only asks for the next four days, not indefinitely.

Answer:

1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

Total weight is 150 kg

Step-by-step explanation:

Firstly, we need the weight of the diagonal

To get this, we shall use the Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

The diagonals stand for the hypotenuse

Thus, we have that;

d^2 = 5^2 + 12^2

d^2 = 25 + 144

d^2 = 169

d^2 = 13^2

d = 13

The 6 sides technically includes the whole rectangle sides, then the two diagonals

The total length here is;

2(5 + 12 + 13) = 60 meters

Steel weight is 2.5 kg per meter

Weight of 60 m will be ;

60 * 2.5 = 150 kg

Answer:

Center is (-6,4) and the radius is √13

Step-by-step explanation:

Answer:

Try the answer 5/3

or in other words C.

Answer:

The nth term of this sequence is  T = n^2 + 2n + 1

the general term is Tn = n^2 + 2n + 1

Answer:

25 + h

f^2

Step-by-step explanation:

It says the sum of 25 and h which is 25 + h.

Now, it basically says "25 + h" is divided by f cubed. Cubed means to the power of 2 (the exponent), so f cubed would be f^2 (f to the power of 2).

25 + h is divided by f^2

25 + h

f^2

(the reason I put "^2" is because I don't know how to put exponents on here, sorry)

Step 1: Simplify both sides of the equation.

0.4(12−3x)=0.3(12x−16)

(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)

4.8+−1.2x=3.6x+−4.8

−1.2x+4.8=3.6x−4.8

Step 2: Subtract 3.6x from both sides.

−1.2x+4.8−3.6x=3.6x−4.8−3.6x

−4.8x+4.8=−4.8

Step 3: Subtract 4.8 from both sides.

−4.8x+4.8−4.8=−4.8−4.8

−4.8x=−9.6

Step 4: Divide both sides by -4.8.

−4.8x /−4.8  =  −9.6 /−4.8

x = 2

Answer:

The answer is C

Answer:

The number of degrees through which the pointer rotates is approximately 20°.

Step-by-step explanation:

If the pointer moves, then it is moving in form of an arc. Since the length of the pointer is 6cm, then radius formed with the pointer is 6cm in length.

When it moves 2.1cm on the scale, an arc with length of 2.1cm is formed.

Using the formula for the length of an arc, we can get the desired number of degrees, angle in degrees, needed.

Length of an arc = 2πrA/360°

Length of the arc = 2.1cm

r = 6cm

A = the angle in degrees.

Therefore we have:

2.1 = 2xπx6xA/360

2.1 = πA/30

(2.1x30)/π = A

A ≈ 20°

The number of degrees through which the pointer rotates when it moves 2.1 centimeters on the scale is; 20°

When the pointer moves 2.1 centimetres on the voltmeter scale;

In essence, since the length of an arc is given by;

where, R = radius = 6cm

Therefore;

p = 20°.

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Answer:

32,800

Step-by-step explanation:

Answer:

a. 12n + 28

b. 8n + 20

Answer:

See below

Step-by-step explanation:

Equation given

No solution ⇒ 6x + a, a≠9

One solution ⇒ ax + b, a≠6

Infinitely many solutions ⇒ a(6x + 9), a≠ 0

Answer:

24 13/34

Step-by-step explanation:

The distance covered by Dennis will be 9.23 miles.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.

Given that Dennis can walk about 2(5/6) miles each hour. The distance covered by Dennis in 3 hours 15 minutes will be calculated as:-

Distance = 2 ( 5 /  6)  x  3 hour 15 minute

Distance = 2.84 x 3 ( 1 / 4)

Distance = 2.84 x 3.25

Distance = 9.23 miles.

Therefore, the distance covered by Dennis will be 9.23 miles.

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