What is the measurement of this angle?

The number of ways six numbers can be drawn are 9366819.

Combinations also are referred to as choices or selections. Combinations correspond to the choice of factors from a given set of factors. Here we do now no longer intend to set up things. We intend to choose them.

The combination formula to find out number of ways is,

where n is the number of objects to select from and r is the variety of objects that want to be picked. This system is used while no repetition is allowed and order does not matter.

From the given question let us consider,

n= 46    

r=6

By applying the combination formula

46C6= 46!/6!(46-6)!

= 46.45.454.43.42.41/6!

= 6744109680!/6!

= 6744109680/720

=9366819

Therefore the required answer is 9366819 ways.

To know more about combinations visit:

brainly.com/question/9283678

#SPJ1

Answer:

Step-by-step explanation: nPr

= n!

(n-r)!

= 46!

(46-6)!

= 46!

40!

= 6744109680

Answer:

A 36.

Step-by-step explanation:

If x is the number of boys then √x is the number of girls.

x + √x = 42

√x = 42 - x

Squaring both sides:

x = (42 - x)^2

1764 - 84x + x^2 - x = 0

x^2 - 85x + 1764 = 0

(x - 36)(x - 49) = 0

x =  number of boys = 49 or 36.

But the total number  = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.

It is true that the expression √3 + 5  cannot be simplified

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

√3 + 5

The above expression is a combination of a radical expression and an integer

The radical expression √3 cannot be simplified

This means that the expression √3 + 5 cannot be simplified

Hence, the expression √3 + 5  cannot be simplified

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

For the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2)  will be 23.

We are given the functions:

g (x) = 5 x - 2

h (x) = x² + 1

We first need to find the composite function g o h (x).

So, we get that:

g o h (x) = g ( h (x) )

g o h (x) = 5 ( x² + 1 ) - 2

g o h (x) = 5 x ² + 5 - 2

g o h (x) = 5 x² + 3

Now, we need to find the value of the composite function for x = 2. So, we get that:

g o h (x = 2) = 5 (2)² + 3

g o h (2) = 5 (4) + 3

g o h (2) = 20 + 3

g o h (2) = 23

Therefore, for the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (2)  will be 23.

Learn more about composite function here:

https://brainly.com/question/10687170

#SPJ4

The inequality to represent the last statement that was made by Mai will be t <= 2.

It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.

It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.

Therefore, the inequality to represent this will be t <= 2.

where t = number of hours trained.

This implies that t is less than or equal to 2 hours

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

- - - - - - - - - - - - - - - - - - - - - - - -

Hello! The explanation is below.

- - - - - - - - - - - - - - - - - - - - - - - -

Here, we're trying to figure out what x means. So, let's!

Basically, this equation says, "What number must you have to reach -24?"

Well, if you subtract 98, you have zero already. So, find a lesser number to remove 98 from.

(after playing with numbers)

74 - 98 = -24

Have a wonderful day/night!

~pinetreee

Answer:

Juan and his sister ate 7/12 of the pizza.

Step-by-step explanation:

1/3 + 1/4

(Multiply 1/3 by 4 and 1/4 by 3)

4/12 + 3/12

(Add)

Answer: 7/12

Ans :

90 minutes, the sloth may move 600 units .

Given :

250*5/8 = 250 × (8/5) = 400

Hour :

a period of time equal to the twenty-fourth part of a day and night and divided into 60 minutes.

1 hour =  60 minute

Slot :

a long, narrow aperture or slit in a machine for something to be inserted.

sloth may move 400 units per hour.

a sloth may move in 400 units = 60 minutes.

A slot of 200 units = 30 minutes.

Therefore,

it will move (400 + 200) units =  (60 + 30) minutes.

Hence,

in 90 minutes, the sloth may move 600 units.

More details: brainly.com/question/13256395

#SPJ9

Answer:

10x + 11

Step-by-step explanation:

6x + 3 + 4x + 8x

6x + 11x +4x

The percent error on Terry's reading is 8.3%

If there is something with a real measure of M, and you perform a measure that gives the value M', then the percent error on your measure is:

P = 100%*|M - M'|/M

In this case, the real measure is 36.0 and Terry's measure is 33.0 (I don't know the units, these are volumes).

So we have:

M = 36.0

M' = 33.0

Then we can use the formula for the percent error to get:

P = 100%*|36.0 - 33.0|/36.0 = 8.3%

We can see that the percent error in Terry's measure is 8.3%

If you want to learn more about percent error:

https://brainly.com/question/5493941

#SPJ1

Answer:

[tex] \sf \: \frac{ x {}^{6} }{16y {}^{8} }[/tex]

Step-by-step explanation:

(4x-³y^4)-²

=x^6/16y^8

The mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams in expressions.

What does a math expression mean?

Mass of 1 bacterium =2×10-¹². Then the mass after 30 hours will be calculated as below:-

Mass of 480,000,000 bacteria = 2×10-¹²×480,000,000

Mass of 480,000,000 bacteria =0.00096

Mass of 480,000,000 bacteria =9.6×10⁻⁴

Therefore, the mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams.

Learn more about expression

brainly.com/question/14083225

#SPJ9

Answer:

Step-by-step explanation:

Answer:

sara has to spend at the farmers market

Step-by-step explanation:

Based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is explained below.

If two smaller angles are formed when a line segment bisects a larger angle, the sum of the measures of the two smaller angles would be equal to the measure of the larger angle, based on the angle addition postulate.

Statements                                     Reasons                                              

m<ABD = 52°                                 Given

BC bisects m<ABD                        Given

m<ABC = m<CBD                          Definition of bisector

m<ABC + m<CBD = m<ABD          Angle addition postulate

m<ABC + m<CBD = 52°                 Substitution property

m<ABC + m<ABC = 52°                 Substitution property

In conclusion, based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is stated above.

Learn more about angle addition postulate on:

https://brainly.com/question/24782727

#SPJ1

Answer:

The velocity of 13 feet per second into units is 3.9624 meter per second.

Step-by-step explanation:

It is given in the question that the velocity is 13 feet per second and we need to convert it into units.

Firstly, let us understand what is velocity;

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Now, let us understand the concept of speed;

Speed, which is a scalar number, is the speed at which an item is moving. Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. This is in contrast to an item travelling slowly, which travels a relatively little distance in the same length of time. Zero speed refers to an item that is not moving at all.

Furthermore, Speed is measured in meters per second. Exactly 3.6 kilometers per hour, or 2.237 miles per hour, equals one meter per second.

After convert the velocity of 13 feet per second into units we get;

=> 13 feet per second = 3.9624 meter per second

Therefore, the velocity of 13 feet per second into units is 3.9624 meter per second.

To know more about this topic, click here:

https://brainly.com/question/5993472

#SPJ9

Answer:

The flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

Step-by-step explanation:

It is given that A solution consisting of 70 mg of dopamine in 70 mL of solution is administered at a rate of 15 mL/hr.

A solution consisting of 182 mg of dopamine in 26 mL of solution is administered at a rate of 10 ​mL/hr.

Now, Let's calculate the flow rate of dopamine per hour;

=> Flow rate of dopamine per hour = (70 × 15)/70

=> Flow rate of dopamine per hour = 1050/70

=> Flow rate of dopamine per hour = 15 mg

Further, let's calculate how much the solution should last for a patient that is prescribed to receive 140 mg of dopamine;

=> Prescription = 140 mg

=> Flow rate of dopamine per hour = 15 mg

=> Duration = Prescription/Flow rate of dopamine per hour

=> Duration = 140/15

=> Duration = 9.3 hours

Therefore, the flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

To know more about this topic, click here:

https://brainly.com/question/13797070

#SPJ9

Answer: The question is not clear.

Step-by-step explanation:

Answer:

y = -1/2x +4

Step-by-step explanation:

First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
    -- Subtract x on both sides

x + 2y = 14

-x           -x

Then: 2y = -x +14
    -- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]

Equals: y = -1/2x + 7

Second find the slope which is : m = -1/2x

Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)

   --Distribute the -1/2
y - 0 = -1/2x + 4
   --Add the 0 to 4
y = -1/2x +4

Hope this helps!
--Blu

The perimeter of the triangle will be the addition of all its sides.

It should be noted that the perimeter of a triangle is calculated by adding the values of all its sides

Die example, of the sides are 4cm, 7cm and 5cm. The perimeter of the triangle will be:

= 4cm + 7cm + 5cm

= 16cm

Based on the information given, it's important to add the equations together and equate them to 78 to get the value of AB.

Note that an overview was given as the question is incomplete.

Learn more about perimeter on:

brainly.com/question/11824950

#SPJ1

Answer:

open

Step-by-step explanation:

It would be open, since the inequality: [tex]x > 1[/tex] only contains solutions greater than 1, and if you were to plug in 1 as x, you would get:  [tex]1 > 1[/tex] which is of course not true, so 1 is excluded and thus has an open circle.

The only case where it would be closed is if it's: [tex]x\ge1[/tex] where plugging in 1 as x would result in a true statement, thus 1 is included in the interval

Length of segment 'cd' = 12 units

Given:-

'ol' is the mid-point of line segment 'cd'

'cl' = 13x + 8

'ld' = 23x - 4

We have to find the length of segment 'cd'.

Since the point 'ol' is the median to the segment cd then two expressions given 'cl' and 'ld' must add up to 'cd'.

'cd' = 'cl' + 'ld'

'cd' = (3x - 6) + (7x - 22)

'cd' = 10x - 28

- To determine the value of x we can also say that 'cl' and 'ld' must be equal because 'ol' is the common mid-point on the line segment 'cd'. So we can write:

'cl' = 'ld'

3x - 6 = 7x - 22

22  - 6 = 7x - 3x

       16 = 4x

        x = 4 units

- Now substitute the value of x in the expression developed for 'cd' as follows:

'cd' = 10x - 28

'cd' = 10 × 4 - 28

cd = 40 -28

'cd' = 12 units.

Therefore, the length of segment 'cd' is 12 units.

Learn more about segment here: https://brainly.com/question/4062858

#SPJ1

If the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b-log_{b}x[/tex].

Given that the expression is  [tex]log_{b}[/tex](b/x).

We are required to find the expanded form of the expression.

The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.

We know that log (m/n)= log m- log n.

The expression  is [tex]log_{b}[/tex](b/x).

We have to first multiply b with the inside fraction.

[tex]log_{b}[/tex](b/x)=[tex]log_{b}b -log_{b}x[/tex]

Hence if the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b -log_{b}x[/tex]

Learn more about base change theorem at https://brainly.com/question/14998693

#SPJ4

Answer:

The equation will be y= 3x + 4

Step-by-step explanation:

Hope this helps :)

The equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a line that has a y-intercept of 4 and a slope of 3.

The standard equation in the slope-intercept form is,

y = mx +c

Where m is the slope and c is the intercept. The ratio that y increase as x increases is the slope of a line.

Substitute the given value,

y = 3x + 4

Thus, the equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ5

Answer: 5.1 = 20.4 and = 30.6

Step-by-step explanation: Add a fraction to 5.1 + 5.1 if you keep adding by 5.1 gets an answer

B & C

A= 3.6:1

B= 5:1

C= 5.1

Answer:
a= A∪B

b= A'

c= c

d= b

(II) 5= {2,3,4,5,6,7,8,9}

hope it helps!

Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

Recall the rules of exponent operations:

Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.

Example:

[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]

Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.

Example:

8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2

The given problem:

Simplify  (2⁴) (2⁵)

Use the product rule:

2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

Learn more about exponent operations here:

https://brainly.com/question/11975096

#SPJ4

The coordinates of the spot received from each reflection.

a. When a point is reflected across the x-axis:

(-4 , -5) → (-4 , 5)

b. When a point is reflected across the y-axis:

(-4 , -5) → (4 , -5)

A reflection in mathematics is a mapping from such a Euclidean space to itself that is an isometry with just a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image with in axis or plane or reflection is its image by reflection.

When a point is reflected across the x-axis, every x-coordinate remains unchanged, but the y-coordinate is assumed to represent the additive inverse. Point (x, reflection )'s from across x-axis is (x, -y).

When you reflect from across y-axis, the coordinates change as follows:

(x, y) → (-x, y)

To obtain your new set, multiply your x-coordinate by -1 as well as leave the y-coordinate alone.

To know more about coordinate plane visit:

https://brainly.com/question/13611766

#SPJ9

Answer:

Step-by-step explanation:

Solve for x by cross multiplying. Hope this helps! <3

Answer:

A = 364 m²

Step-by-step explanation:

the figure is has 2 pairs of parallel sides and is therefore a parallelogram.

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 26 and h = 14 , then

A = 26 × 14 = 364 m²