How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?

Answer:

[tex]8*10^3[/tex]

Step-by-step explanation:

[tex]\frac{6.4*10^6}{8*10^2} \\=\frac{64*10^{-1}*10^6}{8*10^2}\\=\frac{64*10^5}{8*10^2}\\=8*10^{(5-2)}\\=8*10^3[/tex]

Answer:

35°

Step-by-step explanation:

The important information is that the angle is complementary to the angle 55°. A complementary angle is and angle plus another that equal 90°.

55° + x° = 90°

x = 35°

From the situation described, we have that:

a) Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.

b) Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.

c) The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

For Tunnel A, the equation is given by:

x² + y² + 28x + 52 = 0

Completing the squares:

(x + 14)² + y² = -52 + 14²

(x + 14)² + y² = 144.

Hence:

Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

For Tunnel B, the equation is given as follows:

x² - 36x + 16y + 68 = 0.

16y = -x² + 36x - 68.

Simplifying by 16:

y = -0.0625x² + 2.25x - 4.25.

Hence the coefficients are a = -0.0625, b = 2.25, c = -4.25, and the maximum height is:

[tex]y_v = -\frac{(2.25)^2 - 4(-0.0625)(-4.25)}{4(-0.0625)} = 16[/tex]

The width is the difference between the roots, which, using a calculator, are:

2 and 34, hence the width is of 32 feet.

Then:

Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.

For item c, we have that:

The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.

More can be learned about the equation of a circle at https://brainly.com/question/24307696

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Answer:

can you please take a picture so i can try to solve it

Step-by-step explanation:

if you do thank you

The expression represents the sum of the holes.

The variable in the expression is Mia's age.

The simplified expression is 4x - 6

The constant in the simplified expression is -6.

An expression in mathematics is a sentence that is made up of at least of two numbers or variables and has at least one mathematical operation in it.  An expression does not have an equal to sign (=). An example of an expression is 2 + x .

A constant is a value in an expression that never changes in value. For example, in the expression 2x + 5x, 2 is the constant.

Mia's holes = x

Isabelle's holes = 2x - 16

Erick's holes = 10 + x

Sum of holes = x + 2x - 16 + 10 + x

To simplify, add similar terms together : 4x - 6

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Answer:

18 drops of icing

Step-by-step explanation:

Well, for every 7 ounces of icing, there is 2 drops of food coloring. You must first figure out how many times 7 goes into 63.

63 ÷ 7 = 9

Ok, so 7 goes into 63, 9 times. And now you just need to double 9, because "for every 7 ounces of icing there is 2 drops of food coloring" Basically means you just double your answer. So, by doubling 9, you get 18. Therefore, there are 18 drops of food coloring in 63 ounces of icing.

63 ÷ 7 = 9

9 × 2 = 18

18 drops of food coloring

Answer:

0.9

Step-by-step explanation:

remove all the other digits OR

divide by ten after the d. p.

Answer:

$5

Step-by-step explanation:

20+15=35

80-35=45

45 divided by 9 = 5

The graph of the absolute value function:

g(x) = |2 + x| - 3

Can be seen at the end of this answer.

Here we want to graph the absolute value function:

g(x) = |2 + x| - 3

First, we know that the vertex of this function will be at the point (-2, -3) (is at the value of x such that the absolute value part becomes zero).

From that vertex, we just draw two lines with slope 1 to the right and -1 to the left, you should get something like the graph below.

As you can see it opens upwards, because the leading coefficient is 1 (positive).

If you want to learn more about absolute value functions:

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The steps are shown below:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

given:

-4x + 27/ 3 < 5

On solving for x

-4x < 5-27/3

-4x + 27/3 - 27/3 < 5 - 27/3

-4x/4< -12/3*4

(-1)9(-x) < -(-4)

x>1

Learn more about inequality here:

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Step-by-step explanation:

=-7-7

=-14

HOPE THIS HELPS

Answer:

It’s an open circle, so it’s

x > 4

Step-by-step explanation:

Answer:

it is a

Step-by-step explanation:

because it is going to the right and it has an open circle

Answer:

True

Step-by-step explanation:

-_-

Answer: Since she puts 5 seeds per pot, I know that she will put 20 seeds in four pots.

I got this by dividing 55/11 to get the amount of seeds in one pot.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

A reflection across the line x = -1

Step-by-step explanation:

A reflection along the line x = -1 carries the trapezoid onto itself.

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar

Answer: 12

Answer:

y = -2

Step-by-step explanation:

When you see a horizontal line like this, it will always be " Y = something".

When you see a vertical line, it will always be "X = something".

You can see what that number will be by looking at where it crosses the X or Y axis!

Answer:

x≠3/2

Step-by-step explanation:

The domain can be anything (the infinity sign explains), except the domain can't be 3/2 otherwise the denominator will be 0. So Your answer will be the first option.      :)))))))

btw x is the same as domain

A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees

A' is (-2,1)

Given :

A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.

The rule for reflection over y axis

(x,y) -> (-x,y)

Reflection over x axis is

(x,y) -> (x,-y)

Rotate by 180 degree

(x,y)->(-x,-y)

The point A lies on (-2,1)

Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules

Reflection over y axis

(-2,1) -> (2,1)

Reflection over y axis

(2,1)-> (2,-1)

Rotate by 180 degrees

(2,-1)-> (-2,1)

So A' is (-2,1)

Learn more : brainly.com/question/20192008

Answer:

C x^2 + y^2

Step-by-step explanation:

If x and y are real numbers

x^2 > 0 and y^2 >0  so x^2 + y^2 >0  and A is a negative number

Answer:

Point Form:

(4,−12)(4,-12)

Equation Form:

x=4,y=−12

Answer:

y = 5/2x - 17/2

Step-by-step explanation:

First, find the slope of the equation by using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-6 - 4) / (1 - 5)

m = 10/4

m = 5/2

Next, find the y-int by plugging in one of the two points into the equation we have so far:

y = 5/2x + b

(5, 2)

4 = 5/2(5) + b

4 = 25/2 + b

4 - 25/2 = b

b = -17/2

Now you have your final equation:

y = 5/2x - 17/2

Answer:

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (5, 4), (1, -6)

Slope (Calculated): [tex]\frac{5}{2}[/tex]

[tex]y = \frac{5}{2}x+b[/tex]

[tex]-6 = \frac{5}{2}(1)+b[/tex]

[tex]b=-\frac{17}{2}[/tex]

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Answer:

72 pieces

Step-by-step explanation:

since 1/8 pieces would mean 8 per pie then

8*9 = 72

So 72 pieces

Answer:

um Yess?

Step-by-step explanation:

╱╱▏┈┈╱╱╱╱▏╱╱▏

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▇╱▏▁┈▇╱▇╱▏▇╱▏▁

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Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

Answer: 31.9 cm

Step-by-step explanation:

Got it from deltamath so it's right