how many 3 digit numbers can we make using the digits 2,3,4,5,6 without repetition

The probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]

To determine the probability that the vehicle Bob chooses is new or is a car at Bob's Auto Plaza, follow these steps:

1. Calculate the total number of vehicles:
  15 new cars + 7 used cars + 9 new trucks + 6 used trucks = 37 vehicles

2. Calculate the number of new vehicles:
  15 new cars + 9 new trucks = 24 new vehicles

3. Calculate the number of cars (both new and used):
  15 new cars + 7 used cars = 22 cars

4. Since we have already counted the new cars in both categories, we need to subtract the number of new cars once to avoid double counting:
  24 new vehicles + 22 cars - 15 new cars = 31 vehicles that are either new or cars

5. Finally, calculate the probability:
  Probability = (number of vehicles that are new or cars) / (total number of vehicles)
  [tex]Probability = \frac{31}{37}[/tex]

So, the probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]  .

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The required amount of stock is of $950 for  both brokers charge the same commission from the linear equation in one variable.

Let the total amount of stock be x (in dollars).

Fierro Brothers charges their customers a $19 flat fee per trade. Whereas, the Sondo Investment House charges 2% as the commission of trade.

Thus the given condition is Fierro Brothers charges equal commission fee on the required amount of stock as Sondo Investment house.

This relation can be shown in terms of linear equation as,

19 = 2% of x

⇒ 19 = (2/100)x

This linear equation is in the form of linear equation in one variable.

⇒ x= 19*(100/2)

⇒ x = 950

Therefore, on single trade of stock of $950 Fierro Brothers charges $19 fee (flat) as their commission which is equal to the commission earned by Sondo Investment House at the rate of 2% on trade.

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The result of the vector multiplication of a scalar is a vector.

A vector has both magnitude and direction while a scalar has only magnitude and no direction.

When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector.  Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.

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The diameter of the bike's tire is 2.325 inches.

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

A mountain bike tire completes 15 revolutions and travels 146 feet.

Now,

1 revolution of a tire is equal to the circumference of the tire.

Since we have 15 revolutions, we should take 15C=146

where C=πd where π is pi (use 3.14 or the pi symbol).

Our equation is:

20πd=146.

Then solve for d:

20 × 3.14 × d = 146

62.8d = 146

d = 146/62.8

d = 2.325 inches.

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Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

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Answer:

linear

Step-by-step explanation:

its linear because the data shows a straight line:)

Answer:

Linear

Step-by-step explanation:

linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.

the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma

The hypotenuse is c and the other leg is b.

Given is a right triangle we need to label the sides,

The sides are =

PR = a

PQ = c

QR = b

Here, a and b are the legs and c is the hypotenuse of the given right triangle.

Hence the hypotenuse is c and the other leg is b.

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The exponential function f(x) = 2^x is given by the blue graph on the given graph.

The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The function in this problem is defined as follows:

y = 2^x.

Two relevant numeric values are given as follows:

Hence the function is represented by the blue graph.

The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.

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Answer:

2 2/5

Step-by-step explanation:

First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.

Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.

Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).

Hope this Helps

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The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4

From the question, we are to determine the set of inequalities that expresses the relationships

From the given information,

The given relationships are:

A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.

First, we will write the first relationship as an inequality

A score of -6 is lower than a score of -2

This means that -6 is less than -2.

Using inequalities symbols, we can write that

-6 < -2

Now,

For the second relationship :

A score of -2 is higher than a score of -4

This means, -2 is greater than -4

Using inequalities symbols, we can write that

-2 > -4

Hence,

The inequalities that express the relationships are -6 < -2 and -2 > -4

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Answer: probably  89

Step-by-step explanation: looked it up "you have the wrong picture up"

The hypotenuse of the given right-angled triangle is 89 units.

From the below figure, the base of the triangle AB = 39 units

The height of the triangle AC = 80 units

To know the hypotenuse of the given triangle we have to use the Pythagoras theorem as shown below,

From the given figure,

BC² = AB² + AC²

BC² = 39² + 80²

BC² = 1521 + 6400

BC² = 7921

BC = √7921

BC = 89.

From the above analysis, we can conclude that the hypotenuse of the given right-angled triangle is 89 units.

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Given question is having the wrong picture. I am attaching required correct picture as below,

Answer:sine

Step-by-step explanation:

Answer:

6 fewer pizzas

Step-by-step explanation:

The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.

1/3 of 18 is 6 because 6*3 is 18

18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant

So, the small cafe offers 6 FEWER pizzas than the restaurant.

Hope this helps!

The factored form of the equation 4x² + 20x + 200 = 0 is 4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

To factor completely, we can begin by factoring out the greatest common factor of the three terms, which is 4:

4(x² + 5x + 50) = 0

Next, we want to factor the quadratic expression in parentheses.

we can use the quadratic formula, which states that the solutions to the equation ax² + bx + c = 0 are given by:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 5, and c = 50, so we have:

x = (-5 ± √(5² - 4(1)(50))) / 2(1)

x = (-5 ± √(-175)) / 2

x=-5/2+√7(5/2i)

x=-5/2+√7(- 5/2i)

The factored form of the equation 4x² + 20x + 200 = 0 is:

4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

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If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is known as the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).

2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is greater than the area of the largest square. This can be proven using the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, c² = a² + b - 2ab cos(C). For an obtuse triangle, the cosine of the angle opposite the largest side is negative, which makes the right-hand side of the equation larger than c². Therefore, the sum of the squares of the smaller sides is greater than the square of the largest side.

3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is again the Pythagorean theorem. Let the sides of the squares be a, b, and c, with c being the hypotenuse. Then we have a² + b² = c². The areas of the squares are a², b², and c², respectively, so the sum of the areas of the two small squares is a² + b², which equals the area of the largest square (c²).

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The surface area of the triangular prism is approximately calculated as: 361.88 mm².

Surface area of any triangular prism = (Perimeter of the triangular base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)(L) + (bh)

Given the following variables:

S1 = 7.21 mm

S2 = 7.21 mm

S3 = 8 mm

L = 14 mm

b = 8 mm

h = 6 mm

Surface area = (7.21 + 7.21 + 8)(14) + (8 * 6)

Surface area = 361.88 mm²

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Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

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Answer:

(0.5, -0.5)

Step-by-step explanation:

To find the midpoint of A and B, we can use the midpoint formula. The formula involves finding the average of the x-coordinates and the average of the y-coordinates.

Midpoint formula: ((x1 + x2) / 2 , (y1 + y2) / 2)

Using the coordinates of A (-3, -5) and B (4, 4), we can plug them into the formula:

(((-3) + 4) / 2 , ((-5) + 4) / 2)

Simplifying this gives us the midpoint of A and B: (0.5, -0.5).

Therefore, the midpoint of A and B is at coordinates (0.5, -0.5).

Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.

To compare the distances that Charlie and his younger brother jumped, we need to find a common unit of measurement. We can convert the mixed numbers into improper fractions to make the calculation easier.

Charlie jumped 81/1 feet, which is the same as 81 feet.

His younger brother jumped 35/L feet and then 21 feet. We don't know the exact value of L, but we can still compare the distances by assuming L is a constant value. So, the total distance his younger brother jumped is:

35/L + 21 feet

We can simplify the expression by finding a common denominator:

(35 + 21L)/L feet

To compare the distances, we can subtract the distances jumped by Charlie and his younger brother:

81 - (35 + 21L)/L

To determine who jumped farther, we need to simplify this expression by finding a common denominator:

(81L - 35 - 21L)/L

Simplifying further:

(60L + 35)/L

We don't know the exact value of L, but we can say that if L is any positive value, then 60L + 35 is greater than 81. Therefore, Charlie jumped farther than his younger brother, by a distance of (60L + 35)/L - 81 feet.

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The calculated value of the percent error of the measurement is 18.7%.

Percent error is calculated by subtracting the measured value from the actual value, dividing the result by the actual value, and then multiplying by 100 to get a percentage.

Using this formula, we have:

Error = Actual Value - Measured Value = 13.4 - 10.9 = 2.5

So, we have

Percent Error = (Error / Actual Value) * 100 = (2.5 / 13.4) * 100 ≈ 18.7%

Therefore, the percent error of the measurement is approximately 18.7%.

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An iterated integral for the given function f and region d is  [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].

What is integral?

An integral is the continuous equivalent of a sum in mathematics, where sums are used to compute areas, volumes, and their generalizations. One of the two basic operations in calculus, along with differentiation, is integration, which is the process of computing an integral.

Here, we have

Given: Consider the following F(x, y) = x + y YA (1,1) D 0 2 x

Equation of line passes through (2,0),(1,1)

= (y - y₁)/(y₂ - y₁) =  (x - x₁)/(x₂ - x₁)

=  (y - 0)/(1 - 0) =  (x - 2)/(1 - 2)

= y/1 = (x-2)/(-1)

y = -x + 2

x = 2-y

∫∫F(x,y)dA = [tex]\int\limits^0_1 \int\limits^2_y {f(x,y)} \, dx dy[/tex]

∫∫F(x,y)dA = [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex]

Hence,  an iterated integral for the given function f and region d is  [tex]\int\limits^1_0 \int\limits^2_y {x+y} \, dx dy[/tex].

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The radical expression √45 when simplified has a value of 3√5

From the question, we have the following parameters that can be used in our computation:

The radical expression √45

Express 45 as the product of 9 and 5

So, we have the following representation

√45 = √(9 * 5)

Expand the expression

This gives

√45 = √9 * √5

Take teh square roots of 9

This gives

√45 = 3 * √5

Lastly, we have

√45 = 3√5

Hence, the radical expression when simplified is 3√5

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Complete question

Simplify the radical √45

Answer:

[tex]4\frac{1}{5} cups[/tex]

Step-by-step explanation:

Let's start by setting up a ratio for the recipe.

First, rewrite 2 and 4/5 as an improper fraction.

[tex]2\frac{4}{5} = \frac{14}{5}[/tex]

We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:

[tex]\frac{2}{3} :\frac{14}{5}[/tex]

We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):

[tex]1:s[/tex]

Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:

[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]

Multiply the means and extremes, set their products equal, and solve.

[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]

Let's turn 21/5 into a mixed number.

[tex]\frac{21}{5} =4\frac{1}{5}[/tex]

So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.

Answer: 13%

Step-by-step explanation:

10/74 = 0.13513513513

The solution of the given equation 6e/7 = 48 is given by, e = 56.

Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.

Given the equation is,

6e/7 = 48

We have to solve this equation and have to find the value of 'e' which satisfy this equation.

Solving the given equation we get,

6e = 48*7 [On multiplying 7 with both sides]

6e = 336

e = 336/6 [On dividing 6 from both sides]

e = 56

Hence the solution of the given equation is, e = 56.

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The missing measures for the triangle are given as follows:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:

m < B + 73 + 42 = 180

m < B = 180 - 115

m < B = 65º.

Then the relation is:

34/sin(73º) = a/sin(42º) = b/sin(65º).

Then the value of a is obtained as follows:

34/sin(73º) = a/sin(42º)

a = 34 x sine of 42 degrees/sine of 73 degrees

a = 23.8.

The value of b is obtained as follows:

34/sin(73º) = b/sin(65º)

b = 34 x sine of 65 degrees/sine of 73 degrees

b = 32.2.

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Answer:

the answer is...

Step-by-step explanation:

6d^2 + 10d + 21

The composite figure that has an area of 40 square yards would be composed of a rectangle and a triangle.

It is not true that when two composite figures have the same area, they must also have the same perimeter.

The composite figure is composed of a rectangle and a triangle placed side by side. The rectangle has a width of 5 yards and a length of 6 yards. The triangle is a right triangle with a base of 4 yards and a height of 5 yards.

Area Calculation:

The area of the rectangle is length × width = 5 yards × 6 yards = 30 square yards.

The area of the triangle is (1/2) × base × height = (1/2) × 4 yards × 5 yards = 10 square yards.

The total area of the composite figure is the sum of the rectangle's area and the triangle's area: 30 square yards + 10 square yards = 40 square yards.

I disagree with your friend's statement that when two composite figures have the same area, they must also have the same perimeter. It is possible for two composite figures to have the same area but different perimeters.

Example:

Consider a square with a side length of 4 units. Its area is 16 square units, and its perimeter is 16 units.

Now, consider a rectangle with a length of 8 units and a width of 2 units. Its area is also 16 square units (8 x 2), but its perimeter is 20 units (8 + 8 + 2 + 2).

Both the square and the rectangle have the same area (16 square units) but different perimeters (16 units and 20 units, respectively).

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