What numbers multiply to 10 and add up to -10

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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We have linearized the given ODE to: \(\[ \frac{{dv}}{{dt}} = \frac{5}{2} \]\). This is the linearized equation.

To linearize the given ordinary differential equation (ODE) \(\( \frac{{dy}}{{dt}} = 5 \sqrt{x} \)\), we need to rewrite it in a linear form. One common approach is to introduce a new variable that relates to the derivative of \(\( y \)\).

Let's define a new variable \(\( v = \sqrt{x} \)\). Taking the derivative of both sides with respect to \(\( t \)\), we have:

\(\[ \frac{{dv}}{{dt}} = \frac{{d}}{{dt}} \left( \sqrt{x} \right) \]\)

Using the chain rule, we can express \(\( \frac{{dv}}{{dt}} \)\) in terms of \(\( \frac{{dx}}{{dt}} \)\):

\(\[ \frac{{dv}}{{dt}} = \frac{1}{{2 \sqrt{x}}} \cdot \frac{{dx}}{{dt}} \]\)

Now, we need to substitute \(\( \frac{{dx}}{{dt}} \)\) using the given equation \(\( \frac{{dy}}{{dt}} = 5 \sqrt{x} \)\):

\(\[ \frac{{dv}}{{dt}} = \frac{1}{{2 \sqrt{x}}} \cdot \left( 5 \sqrt{x} \right) \]\)

Simplifying the right-hand side:

\(\[ \frac{{dv}}{{dt}} = \frac{5}{2} \]\)

Thus, we have linearized the given ODE to: \(\[ \frac{{dv}}{{dt}} = \frac{5}{2} \]\)

The linearized equation is much simpler compared to the original non-linear equation.

Note: The complete question is:

Linearize the ODE below;

\(\(\frac{{dy}}{{dt}} = 5\sqrt{x}\)\)

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Step-by-step explanation:

geometric sequence :

a0 = 417,000

a1 = a0 × 1.012 (that is adding 1.2% for 2001)

a2 = a1 × 1.012 = a0 × 1.012²

an = a0 × 1.012^n

a20 (for the year 2020 after starting in 2000) =

= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...

if we need to round that to a full number, we get

≈ 529,534

our round it to full thousands

≈ 530,000

i don't know what result format you need. please pick the required one.

The total cost at Store #2 is the lowest due to the combination of the 15% discount, 8% tax, and no shipping and handling fee.

Store #1 SHO

Original price: $98

Discount: 18%

Discounted price: $80.04

Tax: 8%

Total price: $86.44

Store #2

Original price: $98

Discount: 15%

Discounted price: $83.10

Tax: 8%

Total price: $89.78

Store #3

Original price: $105

Discount: 10%

Discounted price: $94.50

Tax: 0%

Shipping & Handling: $3.99

Total price: $98.49

Therefore, Store #2 has the best deal on the snow jacket, with a total price of $78.37 after discounts and taxes are applied.

The best deal for the snow jacket is at Store #2. After applying the discounts and taxes, the total price of the jacket is $78.37. The original price at Store #2 is $98 and the discount is 15%, bringing the discounted price to $83.10. The tax is 8%, bringing the total price to $89.78. Store #1 has an 18% discount and an 8% tax, resulting in a total price of $86.44. Store #3 has a 10% discount, no tax and a $3.99 shipping and handling fee, resulting in a total price of $98.49. Therefore, Store #2 is the best deal.

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Answer:

5 cents

Step-by-step explanation:

$5.29 ÷96  = 0.05510416

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Answer:

it would be 2 to the 9th over 2 to the 7th

Step-by-step explanation:

Answer:

it would be 2 to the 9th over 2 to the 7th

Step-by-step explanation:

The expected value for each roll is \((1+2+3+4+5+6)/6 = 3.5.\)

The average of Brandon's rolls, we simply add up all the results and divide by the number of rolls:
\((1+2+2+3+4+6+2+1+5+6+1+6+2+6+4+6+2+6+4+6)/20 = 3.6\)
So the average of Brandon's rolls is 3.6.
Now we need to count how many times he rolled above the average. To do this, we simply count how many rolls were greater than 3.6:
4, 6, 5, 6, 6, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 4, 6
There were 18 rolls that were greater than 3.6, so Brandon rolled above the average 18 times.
In summary, Brandon rolled a six-sided die 20 times and recorded the results in a table. To find out how many times he rolled above the average, we first calculated the average roll to be 3.6. We then counted how many times he rolled above this value and found that he did so 18 times.

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Answer:

b.

Step-by-step explanation:

To find a line perpendicular to another, you must find an equation with a negative reciprocal slope, in this case -5/2, thus it is b

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

\(15\%of250 \\ = \frac{15}{100} \times 250 \\ = \frac{3750}{100} \\ = 37.5\)

Thank you ☺️☺️

The product of 2 and 1 3/6 can be expressed as either 18/6 or 3

The product of 2 and 1 3/6 can be found by multiplying 2 by the mixed number 1 3/6. To do this, we need to convert the mixed number to an improper fraction, then multiply it by 2. Here are two possible expressions that are equal to the product of 2 and 1 3/6

Improper fractions

2 x 1 3/6 = 2 x (1 + 3/6) = 2 x (6/6 + 3/6) = 2 x 9/6 = 18/6

Therefore, the product of 2 and 1 3/6 is equal to 18/6.

Decimals

We can also convert the mixed number 1 3/6 to a decimal and then multiply it by 2. To convert the mixed number to a decimal, we divide the numerator (3) by the denominator (6), which gives us 0.5. Then we add the whole number (1) to get 1.5.

2 x 1.5 = 3

Therefore, the product of 2 and 1 3/6 is equal to 3.

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The total distance that a round trip will cover is 5,600 miles, under the condition that The trip to California from Missouri was 2,800 miles one way.

After considering all the given data induced by the question we come to the state that here we have to apply the principles of multiplication, to evaluate the distance cover when a round trip is taken from California to Missouri.
Then the calculation is

Round trip distance = 2 × one way distance
Round trip distance = 2 × 2,800 miles
Round trip distance = 5,600 miles
Then the distance covered in the couse of making a round trip from California to Missouri is 5,600 miles.
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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

4000 - 3(1050)

= 850

Step-by-step explanation:

Start with the 4000 that's in the account. Then subtract 3(1050) which represents 3×1050, the cost of three phones.

4000 - 3(1050)

= 4000 - 3150

= 850

He has 850 left in his account.

Autumn's physiological response, characterized by her increased heart rate, sweaty hands, and flushed cheeks, indicates that her sympathetic nervous system has been activated.

Autumn's physiological response, such as an increased heart rate, sweaty hands, and flushed cheeks, is a typical manifestation of the fight-or-flight response, which is controlled by the sympathetic nervous system. In this situation, Autumn's body is reacting to a perceived threat or a stressful stimulus, which in this case is the presence of the boy she has a crush on.

When the sympathetic nervous system is activated, it triggers the release of stress hormones like adrenaline, which leads to various physiological changes in the body. These changes include increased heart rate, dilation of blood vessels, increased blood flow to the muscles, and sweating, all of which prepare the body for action in response to a perceived threat. This response is part of the body's automatic reaction to stressful or arousing situations and helps to mobilize the body's resources to deal with the perceived threat or challenge.

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Answer:

Of course i can help!

Step-by-step explanation:

So. 5x10.75=53.75

and because she breaks 2 more its now 2x10.75=21.50

now

53.75

21.50

+____

75.25

Ur welcome <3

The maximum value is 5 and the minimum value is -11.The maximum value is approximately 13.84 and the minimum value is -1040. The maximum value is approximately 0.8 and the minimum value is -0.333.

1. For f(x) = -2x - 1 over [-3, 5]:
  - Take the derivative of f(x) with respect to x: f'(x) = -2.
  - Set f'(x) equal to zero and solve for x: -2 = 0. There are no solutions, so there are no critical points.
  - Since the interval is finite, we evaluate f(x) at the endpoints:
    - f(-3) = -2(-3) - 1 = 5.
    - f(5) = -2(5) - 1 = -11.
  - Therefore, the maximum value is 5 and the minimum value is -11.

2. For f(x) = x³ - 4x + 10 over [-10, 10]:
  - Take the derivative of f(x) with respect to x: f'(x) = 3x² - 4.
  - Set f'(x) equal to zero and solve for x: 3x² - 4 = 0.
    - x = 2/√3 or x = -2/√3.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(-10) = -10³ - 4(-10) + 10 = -1040.
    - f(-2/√3) ≈ 8.16.
    - f(2/√3) ≈ 13.84.
    - f(10) = 10³ - 4(10) + 10 = 960.
  - Therefore, the maximum value is approximately 13.84 and the minimum value is -1040.

3. For f(x) = x/(x^2 + 1) over [1, 4]:
  - Take the derivative of f(x) with respect to x: f'(x) = (x² + 1 - 2x²) / (x² + 1)².
  - Set f'(x) equal to zero and solve for x: (x²+ 1 - 2x²) / (x² + 1)² = 0.
    - x² + 1 - 2x² = 0.
    - -x² + 1 = 0.
    - x² = 1.
    - x = ±1.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(1) = 1 / (1² + 1) ≈ 0.333.
    - f(-1) = -1 / (1² + 1) ≈ -0.333.
    - f(4) = 4 / (4² + 1) ≈ 0.8.
  - Therefore, the maximum value is approximately 0.8 and the minimum value is -0.333.

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Answer:

−

5

=

−

2

3

(

9

)

+

b

−

5

=

−

2

3

⋅

9

1

+

b

−

5

=

−

2

⋅

9

3

⋅

1

+

b

−

5

=

−

18

3

+

b

−

5

=

−

6

+

b

-6

Step-by-step explanation:

Step 1: Pick two points from the table and plug these points into the rate of change equation. This equation is:

x y

-3 3

3 -1

9 -5

15 -9

21 -13

Δ

Y

Δ

X

=

Y

final

−

Y

intial

X

final

−

X

intial

. It is important that we start with the second value when we substitute in the

X

and

Y

values.

Step 2: Simplify the quotient to determine the average rate of change of the table.

Step 3: Replace

m

, in the linear function

y

=

m

x

+

b

, with the average rate of change you calculated in the previous step.

Step 4: Replace

x

and

y

in the

y

=

m

x

+

b

equation with any point from the given table.

Step 5: Simplify the right side of the equal sign.

Step 6: Use inverse operations to solve for

b

. This is the initial amount of the given table.

Rate of Change: This the ratio of the change in

y

to the change in

x

. It can be given by the equation:

Δ

Y

Δ

X

=

Y

final

−

Y

intial

X

final

−

X

initial

Initial Amount: This is the

y

value of a table that is produced when

x

is equal to 0.

So, let's try using these steps to find the initial amount and rate of change given a table for a linear function, in the following two examples!

Answer:

Ag2O + H2 ---> 2Ag + H2O, this is the answer

Answer:

The length is 15 inches.

Step-by-step explanation:

Perimeter of rectangle = 2L + 2W

If W = 6, then 2W = 2*6, which is 12.

Now, 2L + 12 = 42.

Solve for L.

2L + 12 = 42

2L = 30

L = 15

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest

The fraction of the grapes Bob eat 13/14 of the grapes in his lunch.

The fraction of grapes that Bob eat, to the total number of grapes he had and subtract the number of grapes he eat.

Bob packed twenty grapes and a pear in his lunch,

so he had a total of 20 + 1 = 21 items in his lunch.

He eat thirteen grapes and the pear,

which means he consumed a total of 13 + 1 = 14 items.

To calculate the fraction of grapes he eat, divide the number of grapes he ate (13) by the total number of items he consumed (14),

Fraction of grapes Bob ate = 13/14.

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Answer:

Step-by-step explanation:

Write each statement as a conditional.

a. A triangle with all angles congruent is equilateral.

b. Alberto can go to the movies if he washes the car.

a. If all angles of a triangle are congruent then the triangle is an equilateral triangle

b. If Alberto washes the car he can go to the movies

The height of the paint mark when the bicycle has traveled for 14 seconds after crossing the line is approximately 55.92 inches.

First, we need to find the distance traveled by the bicycle in 14 seconds. We can use the formula:

distance = rate x time

The rate of the bicycle is the same as the speed of the front wheel, which is equal to the circumference of the wheel. The circumference of a circle is given by the formula:

circumference = 2 x pi x radius

where pi is approximately 3.14 and the radius of the wheel is half its diameter, or 12 inches. Therefore, the circumference of the front wheel is:

circumference = 2 x 3.14 x 12 = 75.36 inches

The rate of the bicycle is therefore:

rate = 75.36 inches/revolutions

Since the front wheel makes one revolution every six seconds, the rate of the bicycle is:

rate = 75.36 inches/6 seconds = 12.56 inches/second

The distance traveled by the bicycle in 14 seconds is:

distance = rate x time = 12.56 inches/second x 14 seconds = 175.84 inches

When the paint mark is made on the ground, it will be at the lowest point of the front wheel. After the bicycle has traveled for 14 seconds, the front wheel will have made 14/6 = 2.33 revolutions. Therefore, the height of the paint mark above the ground is:

height = 2.33 x 24 inches = 55.92 inches

So the height of the paint mark when the bicycle has traveled for 14 seconds after crossing the line is approximately 55.92 inches.

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Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

\(H_0: p = 0.5\)

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

\(H_a: p \neq 0.5\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are: \(p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}\)

\(z = -2.12\)

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

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The figure consist of two triangles and three rectangles.

The dimension of rectangles are,

Rectangle 1:

Length L = 10 cm

Width W = 7 cm

Rectangle 2:

Length L = 8 cm

Width W = 7 cm

Rectangle 3:

Length L = 6 cm

Width W = 7 cm

The dimesions of triangles are,

Triangle 1 and triangle 2:

Base b = 6 cm

Height h = 8 cm

Determine the suraface area of closed body.

Thus surface area of figure is 216 square centimeter.

The amount that will be spent on the cupcakes is $48.

From the information, Luisa plans to prepare cupcakes for her daughter's birthday and spends $15 on 25 units.

Let the amount spent on 80 cupcakes be x.

This will be illustrated as:

25/80 = 15/x

Cross multiply

25x = 15 × 80

25x = 1200

Divide

x = 1200/25

x = 48

The amount will be $48.

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Answer:2

Step-by-step explanation:

First combine like terms

2x+3x=5x

5x+3=X+11

Then move the variable to one side by subtracting x from both sides

X-x cancel watcher out

5x-x=4x

Now you have

4x+3=11

Subtract 3 from both sides

4x=8 then divide by 4

X=2