There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,896 ways b. 1,028,160 ways d. 13,366,080 ways

Answer:

7x² + 11x - 18

Step-by-step explanation:

13x² - 8 + 11x - 6x² - 10

13x² - 6x² + 11x - 8 - 10

7x² + 11x - 18

2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.

I would expect 1 out of the next 10 to be chipped.

Answer:

1

Step-by-step explanation:

Answer:

My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol

Step-by-step explanation:

Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews

Answer:

A. T > 50

Step-by-step explanation:

Answer:

I think you need to add them.

Answer:

0.24

Step-by-step explanation:

Miles he drives: x

55.96+0.12x=49.96+0.16x

0.04x=6

x=0.24mi

Answer:

x^4

is the answer

Answer:

Infinity

Step-by-step explanation:

The given parameters are;

The mean of the data, μ = 124

The mean absolute deviation = 38

The mean absolute deviation is given as follows;

[tex]Mean \ absolute \ deviation = \dfrac{\sum \left | X - \mu \right |}{N} = 38[/tex]

Where;

μ = Mean

X = Score

N = The number of scores

Therefore;

[tex]N \times 38 = \sum\limits_{i = 1}^N \left | X - \mu \right |} = \sum\limits_{i = 1}^N \left | X -124 \right |}[/tex]

When there are an infinite number of terms, N = ∞, the greatest possible number within the mean absolute deviation is therefore also infinite

[tex]\infty \times 38 = \sum\limits_{i = 1}^{\infty} \left | X - \mu \right |} = \infty[/tex]

[tex]Greatest \ possible \ value \ for \left | X - \mu \right |} = \infty[/tex]

Answer: Is correct trust me.

Step-by-step explanation:

Answer:

which class question ???????

Step-by-step explanation:

and which chapter...........

Answer:

(2x+7)(x+5)

Step-by-step explanation:

2 x ² + 17 x +35=2 x ² + 7 x + 10 x +35=x(2x+7)+5(2x+7)=(2x+7)(x+5)

Answer:

There are so many!

For circumference use = 2 pi r

For area use = pi r²

I have told only formula, else you may lack practice. try to solve yourself

Answer:

He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

The measure of angle ACB is 25°. The correct option is a. 25 degrees

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

Learn more on Circle theorems here: https://brainly.com/question/16879446

Answer:

Step-by-step explanation:

m∠ 1  =  180 - 117

m∠ 1  = 63

m∠2 = the same as m∠ 1

m∠2 = 63

m∠3 is also the same b/c of the same length of the "legs" of the triangle

m∠3 = 63

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

Answer:

if the cubes were hidden, but I belive the answer is none

Step-by-step explanation:

Answer:

Yes it is B when looking at it from top view thats what it comes out to look like great job.

Answer:

Step-by-step explanation:

''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''

The best approximation value of a by using sine rule is 3.0cm. so option C is correct.

The sides and angles of non-right triangles are related according to the Law of Sines.

The relationship between the angles and lengths of the sides:

a/sinA = b/sinB = c/sinC

We know according to law of sines:

a/sinA = b/sinB = c/sinC

by putting the values we can write,

a/sin40° = 4.7/sin95°

a = (4.7 ×sin40°)/sin95°

  =  3.032

by putting the value of Sin40° and Sin95°.

we get a = 3.03cm.

Approximation value of a is 3.0cm.

To know more about sine rule check:

https://brainly.com/question/26952873

#SPJ7

The complete question:

what is the best approximation of the value of a?

2.4 cm

2.7 cm

3.0 cm

3.3 cm

Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.

Answer:

5 1/2in

10in

6 1/4inhhjghtdddyggkkjh

An equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).

The given denominator are (x+3), (x−4) and (x+4).

A mathematical expression that may be rewritten to a rational fraction, an algebraic fraction such that both the numerator and the denominator are polynomials.

Here, an equivalent rational expressions is

[tex]\frac{1}{x+3}+\frac{1}{x-4} +\frac{1}{x+4}[/tex]

The LCM of denominators is (x+3)(x-4)(x+4)

= (x+3)(x²-16)

= x(x²-16)+3(x²-16)

= x³-16x+3x²-48

= x³+3x²-16x-48

Now, [tex]\frac{(x-4((x+4)+(x+3)(x+4)+(x+3)(x-4)}{x^3+3x^2-16x-48}[/tex]

= (x²-16+x²+7x+12+x²-x-12)/(x³+3x²-16x-48)

= (3x²+6x-16)/(x³+3x²-16x-48)

Hence, an equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).

Learn more about the rational expressions here:

https://brainly.com/question/19585906.

#SPJ1

Answer:

404

Step-by-step explanation:

Answer:

69.3 meters squared

Step-by-step explanation:

1) Think of the shape as being divided into two sections (a rectangle and a triangle)

2) multiply 5.2 times 7 to find the area of the rectangle (36.4)

3) subtract 5.2 from 14.6 to find the base of the triangle (9.4)

4) multiply 9.4 by the height of the triangle 7 (65.8)

5) divide 65.8 by two because a triangle is half of the needed rectangle

6) this leaves 32.9

7) add 32.9 and 36.4 to get your final answer of 69.3 meters squared

hope this helps :)

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

Answer:

x = -47/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = - 47/3

Can't be reduced because 47 is prime

Answer:

x=  -47/3

Step-by-step explanation:

So the information we already have is

7 = 3x + 9 * 6

9 * 6 = 54

now it is

7 = 3x + 54

The equation can also be

3x + 54=7

First subtract 54 from both sides

3x + 54 - 54= 7 - 54

3x= -47

Then divide both sides by 3

3x/3= -47/3

x= -47/3

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

Answer:

$1146.216

Step-by-step explanation:

Given data

Principal= $879

Rate= 19%

Time = 18months= 1.6 years

The expression for the simple interest is

A=P(1+rt)

substitute

A=879(1+0.19*1.6)

A= 897(1+0.304)

A= 879*(1.304)

A= $1146.216

Hence the amount to be paid is $1146.216

Answer:

Because they are both using (g units rates).

Step-by-step explanation:

Answer:

m∠CBD=68°

Step-by-step explanation:

BA is perpendicular to BD, meaning they form a right angle (90°)

This means m∠CBD + m∠ABC=90, or they are supplementary.

We have expressions given for these angles, so

4x+52+8x-10=90

12x+42=90

12x=48

x=4

Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.

4(4)+52=68

m∠CBD is 68°.