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When John was six years old he hammered a nail into his favourite tree to mark his height. Ten years later at age sixteen, John returned to see how much higher the nail was. If the tree grew by five centimetres each year, how much higher would the nail be?

Step-by-step explanation:

Answer:25.1

Step-by-step explanation:

Step-by-step explanation:

.......................

Answer:

Rs 16

Step-by-step explanation:

Amount of money paid for 16 pens = Rs 256

Amount of money paid for 1 pen =

[tex] \frac{256}{16} = \frac{128}{8} \\ = \frac{64}{4} = \frac{32}{2} \\ = \frac{16}{1} \\ [/tex]

Therefore, amount paid for one pen is Rs 16

Answer:

area=w h

Step-by-step explanation:

Answer:

A) Gradient = -3

B) 3y - x = 7

Step-by-step explanation:

The curve has the equation;

y = x³ - 6x² + 9x + 1

We are given the pints it passes through as;

A(2,3) and P(3, 1)

A) to find the gradient, we will find the derivative of the given equation.

Thus;

Gradient = y' = 3x² - 12x + 9

At point A, x = 2. Thus;

Gradient = 3(2²) - 12(2) + 9

Gradient = 12 - 24 + 9

Gradient = -3

B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3

Thus, equation of the normal to the curve at point A will be;

(y - 3) = ⅓(x - 2)

Multiply both sides by 3 to get;

3y - 9 = x - 2

3y - x = 9 - 2

3y - x = 7

Answer:

Infinite

Step-by-step explanation:

Answer:

x ≠ 5

Step-by-step explanation:

Assuming you mean f(x) = (1/(2x-10))+3

Please be careful with how ambigiuous your question can appear with the / sign.

The domain is the set of values that can be used as an input.

In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.

This gives us 2x-10 ≠ 0

2x ≠ 10

x ≠ 5

The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ √ ( 1/2 )x - 10 ] + 3

Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.

(1/2)x - 10 ≥ 0

To solve this inequality, we can isolate x:

(1/2)x ≥ 10

x ≥ 20

Hence , the domain of the function f(x) is x ≥ 20.

To learn more about domain and range click :

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The complete question is attached below :

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

Answer:

v(0) = 19,900, v(11) = 3,787.36

Step-by-step explanation:

v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000

v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36

Answer:

100 i think

Step-by-step explanation:

Answer:

inequality 1 has a solution of 5

Step-by-step explanation:

Cevap:9 umarım doğrusunu seçersin

Answer:

c = square of a2+b2

i think its correct ome

Answer:

2x+3x2 +x3 −5

Step-by-step explanation:

Hope this helps

Answer:

x^2 - 2x + 2

step-step explanation:

Answer:

D. 1/9

Step-by-step explanation:

The x-coordinate is -1/3

Answer:

is this on shapes or multiple answer?

Step-by-step explanation:

like i was thinking 2 segments as parallel

Answer:

5x-2x

Step-by-step explanation:

4x-x = 3x

so,

5x-2x = 3x

The equivalent expression would be; 5x-2x

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given that the expression as; 4x - x

We need to find an equivalent expression.

Therefore, solving further;

4x-x = 3x

Thus, we can also create one expression as;

5x-2x = 3x

Learn more about expression here;

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Answer:

13830

Step-by-step explanation:

the amount of water that was left is 16500, so substract it to the added amount of water which is 12700, then add 10300 which is the amount of water that the village consumed. 16500-12700=3800+10300=13830

Answer:

Step-by-step explanation:

Sam is wrong because 9,05 kg =9050g which is different to 9500g

Answer:

wrong 1 kilo in a gram is 1000 so u just going to add 1 zero on the back so 905+0= 9050 grams

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.

Givens

a = 10

b = 8

c = ?   This is the length of the diagonal.

Solution

a^2 + b^2 = c^2

10^2 + 8^  = c^2

100 + 64 = c^2

c^2 = 164

√c^2 = √164

c = 12.806

Answer:

-x

Step-by-step explanation:

rearrange the terms by adding or subtracting the same thing from both sides:

[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]

Answer:

75% = 0.75

Step-by-step explanation:

75% ÷ 100 = 0.75

Answer:

.75

Step-by-step explanation:

75.% you move the the point 2 spaces to the front and get .75

Answer:

Step-by-step explanation:

Logₐa = 1

Answer:

positive that is 1

Step-by-step explanation:

While the value of a logarithm itself can be positive or negative, the base of the log function and the argument of the log function are a different story.

The argument of a log function can only take positive base arguments. In other words, the only numbers you can plug into a log function are positive base numbers as it is always 1.

Answer:

The smaller number is 8

The bigger number is 11

Step-by-step explanation:

let the first number be A

let the second number be B

A + 2B = 30..... equation 1

A + B = 19...... equation 2

Subtract equation 2 from 1.

A + 2B = 30

- A + B = 19

-------------------

0 + B = 11

B = 11

Substitute B = 11 into equation 2

A + B = 19

A + 11 = 19

collect like terms

A = 19-11

A = 8.

A= 8 and B = 11

Answer:

1jdjsbsjsnsisn Shane Jana aus she sue euw

Answer:

Number of walnut trees: 4n+15

Answer:

117

Step-by-step explanation:

science

Answer:

117 pounds

Step-by-step explanation:169 pounds divided by 65 pounds is 2.6

So that means that we would need to multiply 45 by 2.6. So 45 multiplied by 2.6 is 117 pounds.

Answer:

18 quarts

Step-by-step explanation:

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Step-by-step explanation:

1. What is asked in the problem?

How much did she have at first?

2. What are the given facts?

- Grace spent P184.35 for a box of chocolates and  handkerchiefs

- She gave her sister P125.00.

- The money she had left was  P127.75

3. What is the operation to be used?

Addition

5. What is the solution?​

Initial amount = Money spent on Choc and handkerchiefs + Money she gave her sister + Amount left

Initial Amount =  P184.35 + P125.00 + P127.75

Initial Amount = P437.1

Răspuns:

260; 1188; -300; - 260

Explicație pas cu pas:

A.)

26 * (- 12) +26 (-18) + 26,40;

26 (- 12 - 18 + 40)

26 (10)

= 260

C.)

(-18) (-22) + (-18) (-36) + (-18) - 8;

-18 (- 22 - 36 - 8)

-18 (-66)

= 1188

b.)

15 * (- 34) - 15 * 21 + 15 * 35;

15 (-34 - 21 + 35)

15 (- 20)

= - 300

d.)

-26 * (-12) - 26 * (- 18) - 26 * 40.

-26 (- 12 - 18 + 40)

-26 (10)

-260

Answer:

We need the picture

Step-by-step explanation: