Write “the sum of 9 and 8” in a phase

Answer:

$1.75

Step-by-step explanation:

Answer:

$1.75

7*25=175

add decimal point

Answer:

3x + 1

Step-by-step explanation:

Answer:

3x + 1

Step-by-step explanation:

Answer:

X = 5, -2

Absolute value function

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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Answer:

1

Step-by-step explanation:

The required number to be added on both sides of the equation is 1.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given quadratic equation is x² - 2x - 1 = 0.

In order to solve it using completing square method, the steps are as follows,

x² - 2x - 1 = 0.

=> x² - 2 × 1 × x - 1 = 0.

Add 1 on both sides to get,

=> (x² - 2 × 1 × x + 1) - 1 = 1

=> (x² - 2 × 1 × x + 1²) - 1 = 1

=> (x - 1)² - 1 = 1

=> (x - 1)² = 2

Hence, the number that has to be added to complete the square is 1.

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the 10's complement of 000000 is 999999.

The 10's complement of a number is given by subtracting each digit from 9.

Let us obtain the 10's complement of the given six-digit decimal numbers:123900

First, we need to subtract each digit of 123900 from 9:9 - 1 = 89 - 2 = 78 - 3 = 67 - 9 = 09 - 0 = 99 - 0 = 9

Therefore, the 10's complement of 123900 is 876100.090657

First, we need to subtract each digit of 090657 from 9:9 - 0 = 99 - 0 = 99 - 6 = 39 - 5 = 49 - 7 = 29 - 5 = 4

Therefore, the 10's complement of 090657 is 909343.100000

First, we need to subtract each digit of 100000 from 9:9 - 1 = 89 - 0 = 99 - 0 = 99 - 0 = 99 - 9 = 09 - 9 = 0

Therefore, the 10's complement of 100000 is 900000.000000

First, we need to subtract each digit of 000000 from 9:9 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 09 - 0 = 0

Therefore, the 10's complement of 000000 is 999999.

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Answer:neither are functions

Step-by-step explanation:

Functions don't have repeated x

Answer:

see below

Step-by-step explanation:

of means multiply

1/2 * 1/3

1/6

1/2 * 3/4

3/8

Answer:

1/2 of 1/3=1/6

1/2 of 3/4=3/8

Step-by-step explanation:

Whenever you come across question that states [a of b] simply means a×b

This also applies to this question.

1/2 of 1/3=1/2 × 1/3=1/6

1/2 of 3/4=1/2 × 3/4=3/8

Answer:

60.3504

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The result x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

In this question, we are given a differential equation dx/dt = kx.

This equation is called a first-order homogeneous linear differential equation.

This means that the highest derivative that appears in the equation is the first derivative, and there are no nonlinear terms.

The coefficient k is a constant that represents the rate at which the quantity x(t) changes with respect to time t.

Given the differential equation

dx/dt = kx

And,

x(t) = 13t is a solution

We need to find k.

In order to find the value of k, we differentiate the given solution with respect to time t and equate it to the given differential equation.

dx/dt = d/dt (13t)

= 13

Substituting the value of x and dx/dt in the differential equation, we get:

13 = k (13t)

⇒ k = 1/t

Therefore, k = 1/t.

Substituting the value of k in the given differential equation, we get:

dx/dt = (1/t) x .............................(1)

Now, let’s verify whether x(t) = 13t is a solution of the differential equation (1).

LHS of (1) = d/dt (13t)

= 13

RHS of (1) = (1/t) (13t)

= 13

Therefore, x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

To find a particular solution of the differential equation, we are given that x(t) = 13t is a solution.

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Answer:

y=-1/2x+5

x=-2y+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  

y − y 1 = m ( x − x1 ) to find the line perpendicular to  y = 2 x+ 2.

To solve for x you -5 from both sides to get y-5=-1/2x then multiply both sides by -2 to get -2y+10=x which is the same as x=-2+10

Answer:

CP = 4500

SP = 5175

As the SP is greater than the CP, it is a profit

Profit = 675

Profit percent = (Profit / CP) * 100

=> (675/4500) * 100

=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)

=> 15 (Once you divide 675 by 45)

=> 15 % profit

Therefore, Profit = 15 %

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2) the volume of a cone is 33,166.25 cm³`

3) the volume of a cylinder is 4.5 m³

4) the volume of the pan is `576 cm³`.

Here are the solutions to the given problems:

2) The formula for the volume of a cone is given by the formula;

`V=(1/3)πr²h`.

Here,`h=40 cm`

and the slant height is `50 cm`.

Using Pythagoras Theorem, we get the radius of the base of the cone;

`l² = r² + h²`

`r² = l² - h²

= (50 cm)² - (40 cm)²`

`r² = 2500 cm²`

The volume of the cone is;

`V = (1/3)πr²h`

`V = (1/3)π(2500 cm²)(40 cm)`

`V = 33,166.25 cm³`

3) The formula for the volume of a cylinder is given by the formula;

`V=πr²h`.

Here, the area of the base of the cylinder is `9π/4 m²`.

Then, the radius of the cylinder is;`A = πr²`

`(9π)/4 = πr²`

`r² = (9π)/(4π)`

We have;

`V=πr²h`

`V=(9π)/(4π)(2 m)`

`V = 4.5 m³`

4) The volume of the pan is given by the formula;

`V = l × b × h`

where `l = 12 cm`, `b = 12 cm`, and `h = 4 cm`.

Therefore;`V = 12 cm × 12 cm × 4 cm`

`V = 576 cm³`.

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Given that a = 21 and b = 27, the value of x can be calculated. The lengths of the other two sides of the right triangle can then be determined. If x = 29 cm, the length of the second leg can be found, followed by the length of the hypotenuse.

To find x, we use the equation X + 21 = x + 27. Given that a = 21, we substitute it into the equation to get X + a = x + 27. Rearranging the equation, we have X = x + 6.
Next, we determine the lengths of the other two sides of the right triangle. If x = 29 cm, the length of the second leg can be found by substituting the value into X + 21, which gives 29 + 21 = 50 cm.
To find the length of the hypotenuse, we use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using a = 21 and b = 27, we have:
hypotenuse² = a² + b²
hypotenuse² = 21² + 27²
hypotenuse² = 441 + 729
hypotenuse² = 1170
Taking the square root of both sides, we find:
hypotenuse ≈ √1170 ≈ 34.18 cm
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 34.18 cm.

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Answer:

b = 30

Step-by-step explanation:

1/4 (8b-80) +b = 70

2b - 20 + b = 70

3b = 90

b = 30

Answer:

1/2

Step-by-step explanation:

1/2 is bigger then 1/3 and 1/4.

Answer:

r=37(being vertically opposite angle)

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2, - 1) and ( - 4,10)

So we have

[tex]M = ( \frac{ - 2 - 4}{2} \: , \: \frac{ - 1 + 10}{2} ) \\ = ( - \frac{ 6}{2} \: , \: \frac{9}{2} )[/tex]

We have the final answer as

[tex]( - 3 \: , \frac{9}{2} )[/tex]

Hope this helps you

The probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

To calculate the probability that a randomly selected carton has a weight greater than 12.31 ounces, we can use the z-score and the standard normal distribution.

(a) Probability for a single carton:

Step 1: Calculate the z-score using the formula: z = (x - μ) / σ

Where:

x = 12.31 (the given weight)

μ = 12 (mean weight)

σ = 0.5 (standard deviation)

z = (12.31 - 12) / 0.5 = 0.62

Step 2: Find the probability associated with the z-score using a standard normal distribution table or a calculator. The probability of a weight greater than 12.31 ounces is equivalent to finding the area to the right of the z-score of 0.62.

Using a standard normal distribution table or calculator, the probability is approximately 0.2676.

Therefore, the probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

Note: Make sure to round the result to four decimal places as requested.

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Answer:

7 cups of water

Step-by-step explanation:

Divide 56 by 24

56/24 = 2 1/3

Multiply this by the cups of water wasted every 24 hrs

2 1/3 x 3 = 7

your answer is 456 just calculate it up

Answer:

Horizontal line (0 slope)

Step-by-step explanation:

The equation is [tex]\frac{y2-y1}{x2-x1}[/tex], so you'd just insert what you know.

It would look like this: [tex]\frac{6-6}{4-(-2)}[/tex].

We would solve. 6-6=0, while 4-(-2)=6.

So, we have 0/6, which gives you 0, and it would be a horizontal line, since a horizontal line is portrayed by 0 slope.

Answer:

B

Step-by-step explanation:

Dude trust me

Answer:

Your answer is A

Step-by-step explanation:

In this case you have 7 digits so you move the decimal 6 times to the left

4325000

4.325

4.325 x 10^6

Hope my answer helped you.

Have a great day

Answer:

4.325 x [tex]10^{6}[/tex]

Step-by-step explanation:

When finding the scientific notation you need to move the decimal to the left until your first number or the one in the highest place is the remaining number. Then your 10 is taken to the a(amount of times you moved the decimal) power. For example, with this problem 4325000 is moved 6 times meaning the answer is A or 4.325 x [tex]10^{6}[/tex].

(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

To find the probabilities using the ∠-table (cumulative probabilities under the standard normal distribution), follow these steps:

(a) P(z < -0.83):

Look up the value -0.8 in the leftmost column of the table and the value 0.03 in the top row. The corresponding value in the table is 0.2033. Since the table provides values for positive z-scores, we can use the symmetry property of the standard normal distribution to find the desired probability:

P(z < -0.83) = 1 - P(z < 0.83) = 1 - 0.2033 = 0.7967

(b) P(z > 1.07):

Look up the value 1.0 in the leftmost column of the table and the value 0.07 in the top row. The corresponding value in the table is 0.8577. Since the table provides values for positive z-scores, we need to find the complement of the desired probability:

P(z > 1.07) = 1 - P(z < 1.07) = 1 - 0.8577 = 0.1423

(c) If P(z > a) = 0.2033, find the value of a:

Using the table, we find that the closest value to 0.2033 in the table is 0.20, which corresponds to a z-score of -0.84. Since we are interested in the upper tail, the desired value of a is the negative of the z-score:

a = -(-0.84) = 0.84

Therefore, the answers are:

(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

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Answer:

Step-by-step explanation:

The ratio of line segments as per picture

Correct option is

Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

Car Mart started with more cars. It started with 80 - 52 = 28 more cars than Winston's.

1. How many cars per day does Car Mart sell? To calculate the rate of decrease in the number of cars left, we can find the slope of the line connecting the points (0, 80) and (6, 20) on the graph. The slope is given by: Slope = (Change in y)/(Change in x) = (20 - 80)/(6 - 0) = -10 cars per day

Therefore, Car Mart sells 10 cars per day.2. How many cars per day does Winston's sell? We can use the information given to find the rate of decrease in the number of cars left at Winston's. Over a period of 2 days, the number of cars decreases from 32 to 12. Therefore, the rate of decrease is:

Rate of decrease = (32 - 12)/(3 - 5) = 10 cars per day

Therefore, Winston's sells 10 cars per day.3. Which dealership sells more cars per day? How many more? Car Mart sells 10 cars per day and Winston's sells 10 cars per day, so they sell the same number of cars per day.4. Which dealership started with more cars? How many more cars did that dealership start with?

To compare the number of cars each dealership started with, we can use the information given. After 3 days, Winston's has 32 cars left, which means it started with:

Number of cars Winston's started with = 32 + (10 x 2) = 52 carsAfter 0 days, Car Mart has 80 cars left, which means it started with: Number of cars Car Mart started with = 80 cars

Therefore, Car Mart started with more cars. It started with 80 - 52 = 28 more cars than Winston's.

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