9(x + 1) = 25 + x

x = 2
x = 3
x = 4
x = 5

√10 · √6 = √(10 · 6) =

= √60 = √(4 · 15) = √(2² · 15) = 2√15

Answer:

hey can you help me with the limit

Answer:

the answer is 12 just =12

12.985 rounded to 2 decimal places is 12.99

Answer:

Step-by-step explanation:

Step 1:

Identify the digit in the hundredths place, as it is the 2nd decimal place.  The 8 is the digit in the hundredths place.

Step 2:  

Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.

Step 3:

The new number is 12.99 rounded to the 2nd decimal place.

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

f(x) has a greater slope.

Step-by-step explanation:

The slope of the image line

= difference in y coordinates / difference in x coordinates

= (7-3) / (3-2)

= 4.

The  slope of f(x) = 6x + 1 is  6.

The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

What is mean by straight line?

A straight line is a combination of endless points joined on both sides of the point.

Given that;

The function, f(x) = 6x + 1

And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).

Since, The slope 'm' of any straight line is given by:

m = (y₂ - y₁) / (x₂ - x₁)

And, m = d/dx (f(x))

So, The slope of function f (x) will be;

f(x) = 6x + 1

M = d/dx (f(x))

M = d/dx (6x + 1)

M = 6

And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;

m = (7 - 3) / (3 - 2)

m = 4/1

m = 4

Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

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Answer:

18 feet

Step-by-step explanation:

Perimeter=2(l+b)

80=2(w+w+4)

80=2(2w+4)

80=4w+8

80-8=4w

72/4=w

W=18 feet

Answer:

Step-by-step explanation:

Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...

  (5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation

__

The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...

  5.7×0.001 = 0.0057 . . . . . standard form

Answer:

11

Step-by-step explanation:

f(4)= 3(4)-1

=12-1

Answer:

\(y = 10000 * 0.959^t\)

Step-by-step explanation:

Given

\(a = 10000\)

\(r = 4.1\%\)

Required

Express as an exponential function \(y =ab^t\)

First, we calculate the value of b;

Since the population decrease, then

\(b = 1 - r\) --- This represents decrement of decay factor

Substitute \(r = 4.1\%\)

\(b = 1- 4.1\%\)

\(b = 0.959\)

So:

\(y =ab^t\) becomes

\(y = 10000 * 0.959^t\)

\(1\cdot2^2+1\cdot2^1+1\cdot2^0=4+2+1=7\\\\111_2=7_{10}\)

Answer:

\(x=\frac{\sqrt{14} }{2}\)

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures \(45^o\). Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

\((\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}\)

We use just the positive root, since we are looking for an actual length. then, the requested side is:

\(x=\frac{\sqrt{14} }{2}\)

The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

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Step-by-step explanation:

Let x be the number of ounces of 20% saline solution needed, and y be the number of ounces of 70% saline solution needed to obtain 25 ounces of a 50% saline solution.

To solve the problem, we can use the fact that the amount of salt in the final mixture must equal the sum of the amounts of salt in the two original solutions. That is:

0.2x + 0.7y = 0.5(25)

Simplifying this equation gives:

0.2x + 0.7y = 12.5

We also know that the total amount of solution is 25 ounces, so:

x + y = 25

We now have two equations with two variables, which we can solve using algebra. Rearranging the second equation to solve for x in terms of y, we get:

x = 25 - y

Substituting this expression for x into the first equation, we get:

0.2(25 - y) + 0.7y = 12.5

Multiplying out the terms and simplifying gives:

5 - 0.2y + 0.7y = 12.5

0.5y = 7.5

y = 15

Substituting this value for y into the equation x = 25 - y, we get:

x = 25 - 15 = 10

Therefore, we need 10 ounces of the 20% saline solution and 15 ounces of the 70% saline solution to obtain 25 ounces of a 50% saline solution.

9514 1404 393

Answer:

  28 feet

Step-by-step explanation:

Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...

  (25+r)² = r² + 45²

  625 +50r +r² = r² +2025

  50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides

  r = 28 . . . . . . . . . . . divide by 50

The radius of the pond is 28 feet.

9514 1404 393

Answer:

  $15

Step-by-step explanation:

The desired rate is ...

  "unit rate" = cost/T-shirt = $180/(12 T-shirts) = $15/T-shirt

__

The unit rate is based on its definition. Here, the rate of interest is the cost per shirt, so it is found by dividing the cost by the number of shirts.

Answer:

cant see the photo

Step-by-step explanation:

can you tell me what it says-

Answer:

peter has $3.50

Step-by-step explanation:

3.50 times 2 is 7 plus 3 is 10

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

B

Step-by-step explanation:

JK = LM (equidistant from centre)

3x+19=6x+7

19-7=6x-3x

12 = 3x

Dividing both sides by 3

x = 4

JK = 3(4)+19

JK = 12+19

JK = 31

Answer:

31

Step-by-step explanation:

JK = LM (since they are equidistant from centre)

3x + 19 = 6x + 7

- 3x = - 12

x = 4

JK = 3 * (4) + 19

= 12 + 19

= 31

Hope this helps!

Answer:

x=100 y=80

Step-by-step explanation:

Answer:

1.    B. x = 100

2.   A. y = 80

Step-by-step explanation:

x° and 80° form a linear pair. That means that their measures add up to 180°.

x° + 80° = 180°

x = 100

y° is vertical with 80°. Vertical angles are congruent, so their measures are equal.

y = 80

Answer:

-19

Step-by-step explanation:

you first substract 7 from 83 since its the inverse operation

then you divide it by -4 which give you -19

The ribbon lengths in order from shortest to longest are-

1 foot, 1.5 feet, 1.512 feet, 1.54 feet.

Ascending order refers to the arrangement of numbers in increasing order, from smallest to largest.

Putting the numbers in ascending order:

Now as per the given number in question;

The lengths of the ribbon pieces are 1.5 feet, 1 foot, 1.512 feet, and 1.54 feet.

Arrange the smallest first, after that the second smallest and so on.

1 foot, 1.5 feet, 1.512 feet, 1.54 feet.

In this 1 foot is the smallest and 1.54 feet is the largest number.

We can write the given ascending order with less than sign also;

1 foot < 1.5 feet < 1.512 feet < 1.54 feet.

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answer : 12x²

steps

means put -2x where x is

let f(x) = 3x² what i f(-2x)

3(-2x)²

pemdas

-2x times -2x

4x²

3 times 4x²

12x²