4. In how many ways can all of the letters of the word NUMBERS be arranged if it
start with a consonant and end with a vowel? /2

Answers

Answer 1

Answer:

2400 words

Step-by-step explanation:

First choose the first letter. You have 5 choices of consonant for this.

Next choose the last letter. You have 4 remaining consonants for this.

Now you have 5 remaining letters which can be placed in any order.

So the answer will be:

5⋅4⋅5!

20⋅120

2400


Related Questions

Simplify -b/2a where a =-8 and b =-1

Answers

The correct value of this algebraic expression is -1/16

             

Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.

According to the rules of signals, we will have to:

*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +

*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -

[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]

[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{-16}[/tex]

[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]

Therefore, the final answer to this simplification will be -1/16

A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is
10
-5
-11
-8

Answers

Answer:

-11

Step-by-step explanation:

I don't know how to type Numerical using a cellphone

I think -11 Not 100% sure

To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x - 6?
A -14
B 14
C -6
D 6

Answers

Addition Property of Equality is basically a complex way of saying add the same number to both sides.  In this problem we are trying to isolate x for it to be by itself so we must deal with -6.  Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.

Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.

I think is 6 we’ll letter D hope this help

Write down the next term in each of these sequences. a) 19, 15, 11, 7, 3,​

Answers

Answer:

-1

Step-by-step explanation:

Find the difference of each sequence

19 - 15 = 4

15 - 11 = 4

11 - 7 = 4

7- 3 = 4

3 - ? = 4

Subtract 4 from the 3

3 - 4 = -1

Therefore, the next term is -1

Fwam surveyed 540 of the students in his school about their favorite color. students could choose between red and blue. 55% said their favorite color was blue. how many students' favorite color was red?

Answers

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.

Answers

Using it's concept, it is found that the desired probability is given by:

P(Take the bus | Junior) = 0.5714 = 57.14%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:

P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

proving trigonometric identities

2(cosx sinx-sinx cos2x)/sin2x =secx

Answers

This is not an identity.

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]

Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.

Keeping the left side unchanged, the correct identity would be

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]

To show this, recall

• sin(2x) = 2 sin(x) cos(x)

• cos(2x) = cos²(x) - sin²(x)

• cos²(x) + sin²(x) = 1

Then we have

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]

Use the distributive property to write an equivalent expression to:

3 over 4 minus 1 half left parenthesis 4 x minus 1 half right parenthesis

Answers

Answer:

11/4

Step-by-step explanation:

The question in math symbols 3/4 - 1/2(4*-1)

By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication

3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2

Then we can convert the 2 into a fraction of fourths

3/4 + 2 = 3/4 + 8/4

Now we just add the numerators and keep the denominator

3/4 + 8/4 = 11/4

which of the following is true for the relation f(x)-x^2+8

Answers

Answer: A

Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?

when the positive integer x is divided by 5, the remainder is 3. what is the remainder when X +19 is divided by five

Answers

Answer:

_4

Step-by-step explanation:

x+19/5=3 cross multiply

x+19=3*5

x+19=15

x=15-19

x=-4

The remainder when (x + 19) is divided by 5 is 2.

If the positive integer x has a remainder of 3 when divided by 5, it can be represented as:

x = 5a + 3, where "a" is a non-negative integer.

Now, let's consider the expression (x + 19) and determine the remainder when it is divided by 5:

x + 19 = (5a + 3) + 19

       = 5a + 22

When we divide 5a + 22 by 5, we find:

(5a + 22) = 5(a + 4) + 2

Therefore, the remainder when (x + 19) is divided by 5 is 2.

Learn more about remainders here:

https://brainly.com/question/29019179?

#SPJ2

HELP THIS IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :((((((((((((((((

Answers

Answer:

1)acute triangle

2) right angle

3) obtuse triangle

Step-by-step explanation:

please mark me as brainlest

Answer:

1. Acute 2. Obtuse 3.  Right

Step-by-step explanation:

Obtuse Triangle Definition

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.

Acute Triangle Definition

An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.

A Right Triangle has a right angle

Hope this helps.

What is negative 8 times 9 times negative 5 minus negative 14​

Answers

(-8 * 9 * -5 )- -14

360 - - 14 = 360 + 14 = 374

Negative 8 times 9 times negative 5 minus negative 14 is 374

HELP ASAP ILL MAKE YOU THE BRAINIEST
fInd the value of x

Answers

Step-by-step explanation:

cos x = 2/6.5 = 0.3

arccos 0.3 = 72.54 degree

The account balance on april 1st is $50.51. on april 15th a payment of $15.00 is made. on april 25th a purchase of $19.27 is made. the annual rate is 18%. what is the finance charge using the previous balance method? $ what is the new balance? $

Answers

The finance charge will be $ 0.76. Then the new balance will be $ 55.54.

What is a finance charge?

Finance costs are paid to the provider in exchange for supplying cash or granting the loan.

The account balance on April 1st is $50.51.

On April 15th payment of $15.00 is made.

On April 25th a purchase of $19.27 is made.

The annual rate is 18%.

Then the finance charge will be

⇒ $ 50.51 x 0.18 / 12

⇒ $ 0.76

Then the new balance will be

New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76

New balance = $ 55.54

More about the finance charge link is given below.

https://brainly.com/question/2588555

#SPJ1

Question 2(Multiple Choice Worth 2 points)
(04.03 MC)
4x-7
Given f(x) =
8x+8
what is the end behavior of the function?

Answers

The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

How to determine the end behavior?

The function is given as:

f(x) = 8x+8

The above function is a linear function.

A linear function is represented as:

f(x) = mx + b

This means that the slope of f(x) is 8 (a positive number)

For a linear function with a positive slope, the end behavior is that:

As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

Read more about end behavior at:

https://brainly.com/question/1365136

#SPJ1

Choose the correct alternative.
the earnings of ahmed and bekhit are in the ratio 3:7 and that of bekhit and saeed is 4:9 and that of mohammed and saeed is 7:6. if the sum of the earnings of ahmed, bekhit, saeed, and mohammed is aed 52,950, then what are the earnings of mohammed?

aed 21,050
aed23,050
aed 24,050
aed33,050

Answers

Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Earnings of Ahmed.Variable y: Earnings of Bekhit.Variable z: Earnings of Saeed.Variable w: Earnings of Mohammed.

The earnings of ahmed and bekhit are in the ratio 3:7, hence:

[tex]\frac{x}{y} = \frac{3}{7}[/tex]

[tex]3y = 7x[/tex]

[tex]y = \frac{7x}{3}[/tex]

That of bekhit and saeed is 4:9, hence:

[tex]\frac{y}{z} = \frac{4}{9}[/tex]

[tex]4z = 9y[/tex]

[tex]z = \frac{9y}{4}[/tex]

[tex]z = \frac{63x}{12}[/tex]

The ratio of mohammed and saeed is 7:6, hence:

[tex]\frac{z}{w} = \frac{7}{6}[/tex]

[tex]7w = 6z[/tex]

[tex]w = \frac{6z}{7}[/tex]

[tex]w = \frac{378x}{84}[/tex]

The sum is of 52950, hence:

[tex]x + y + z + w = 52950[/tex]

[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]

[tex]1099x = 52950 \times 84[/tex]

[tex]x = \frac{52950 \times 84}{1099}[/tex]

[tex]x = 4047[/tex]

Hence, Mohammed earnings in aed are given as follows:

[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Which of the following is the formula for the volume of a cube? a. s3 b. s2 c. π r2 d. π r3​

Answers

Answer:

Step-by-step explanation:

Which of the following is the formula for the volume of a cube?

a. s³

b. s²

c. π r²

d. π r³​

V = s³

John travelled 450km using 31 litres of petrol. (km/litre)

Answers

Answer:

its SUMMER wth

Step-by-step explanation:

Its time too TURN UPPP!

Answer:

450/31=14.51km/litre

The measure of angle CDE is
degrees.

Answers

CDE = CDB + BDA + ADE

CDE = 42° + 37° + 20°

CDE = 99°

hope it helps...!!!

Answer:99 degrees

Step-by-step explanation:

Angle CDB + Angle BDA + Angle ADE= Angle CDE

42+37+20=99

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Answers

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

How to determine the lateral area?

The given parameters are:

Base length (b) = 6Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

How to determine the surface area?

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

L = 117 cm2 ; S = 132.6 cm2

Step-by-step explanation:

Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.

P=3(6)=18

Therefore, the perimeter of the regular triangle is 18 cm.

Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.

L=1/2(18)(13)=117

Therefore, the lateral area of the pyramid is 117 cm2.

The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.

The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.

i need help on this may you help

Answers

Answer:

should be 63

Step-by-step explanation:

Which equation represents an inverse variation?
O y = 2x
O y= f
0 y=
4
5
O y = -5x

Answers

Answer:

its y=2x so yaa thats ittt

During ‘Bob a job week’ a Boy Scout decided to earn money by cleaning shoes.It takes him 2 1/2 minutes to clean one pair.At one house he was given 12 pairs to clean.How long did it Take him to complete the task?

Answers

Answer: It took him 30 minutes to clean 12 pairs of shoes.


2 1/2 can be written as a decimal, 2.5, to make the equation simpler. It takes him 2.5 minutes per pair of shoes.

Given 12 pairs, we can find how long it took him using multiplication: 2.5(12) = 30
It took the Boy Scout 30 minutes to complete the task. This is also equivalent to half an hour.

K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.

Answers

Using the circle theorems, the value of z is 45

Circle Geometry

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

Learn more on Circle Geometry here: https://brainly.com/question/17074363

#SPJ1

What is Parabola?

What is the transformation of parabolas?

Answers

Answer:

What is Parabola:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

What is the transformation of parabolas?

The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally

Step-by-step explanation:

expression equivlant (x+5)^2

Answers

Answer:

(x+5) (x+5)

Step-by-step explanation:

it's just (x+5)^2 twice

For his phone service, Chris pays a monthly fee of $25, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $86.74.
What are the possible numbers of minutes he has used his phone in a month?
Use M for the number of minutes, and solve your inequality for M.

Answers

Answer:

1029 minutes or 17.15 hours

Step-by-step explanation:

25+0.06M=86.74

0.06M=61.74

M=61.74/0.06=1029

A box contains 50 batteries, of which 10 are dead and 5 are weak. Suppose you select batteries at random from the box and set them aside for recycling if they are dead or weak. If the first battery you select is dead and the second one is weak, what is the probability that the next battery you select will be weak?

Answers

Probability of selecting 1 dead, 1 weak, then 1 weak = (1/588).

Given: 50 total batteries, of which 10 are dead and 5 are weak. This is represented by: 10/50 (simplifies to 1/5) and 5/50 (simplifies to 1/10).
If the batteries are being set aside, it likely means no replacement. For every battery taken out of the box, the box holds one less battery.

Probability of selecting 1 dead, 1 weak, 1 weak is written as: (10/50)*(5/49)*(4/48) = 1/588.

2. Find the value of x and y rounded to the nearest tenth.
x
34
45°
30°
a.
x = 24.0, y = 46.4
c.
x = 48.1, y = 139.3
d. x = 48.1, y = 46.4
b. x = 24.0, y = 139.3

Answers

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

[tex]\sin{45^\circ} = \frac{17}{x}[/tex]

[tex]x = \frac{17}{\sin{45^\circ}}[/tex]

x = 24.

y is divided into two segments.

The first is the adjacent to the angle of 30º, while the hypotenuse is 34.The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]

[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]

[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]

[tex]y_2 = 24\cos{45^\circ} = 17[/tex]

Then, the value of y is given by:

[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

#SPJ1

i need the answer asap

Answers

Answer:

It b(4) because if you time 3 times 4 it equals 15.

Step-by-step explanation:

Other Questions
Graph (x-2)^2 + (y-1)^2 = 9 Which grid shows the product of 0.3 x 3? Help me for Brainliesthere is the file How is finding the area of composite two-dimensional figures similar to finding the surface area of three-dimensional figures? 1. Do some research on the lives of women, children, or other civilians on the home front. Use the Internet or the library to gain background knowledge before you write.Write a letter from one of the following perspectives, or choose a point of view based on your research. a woman whose husband has gone to war a grandfather who is helping out on his sons farm while his son is at war a young person who must take on more farm work while his or her father is away at war a young person who goes to work in a factory an African American thinking about gaining his or her freedomYour response should be at least two paragraphs. Consider some of these questions as you write:1. Are you living in the North or the South?2. How has your life changed because of the Civil War?3. Who do you know who is fighting in the war?4. How do you feel about your new responsibilities?5. What do you want people to know about your life?Type your response here: In the following diagram, BC is parallel to DE.What is the measure of a?Angles are not necessarily drawn to scale.BW103DF4* =42E Use the excerpt to answer the question.The description in this decision BEST reveals that new technology in the early twenty-first century was A. increasing profits for traditional entertainment companies. B. disrupting the market power of large entertainment companies. C. inhibiting innovation in small companies seeking market share. D. creating monopolies out of already large companies. The client experienced complications leading to the need for an emergency cesarean birth using general anesthesia. What is the priority assessment for this client during the surgery What version of bluetooth is installed on the yaesu ft-5dr?. Please help see picture 7/12 - 1/6 in simplest form If f(x) = ex and g(x)=x-4, what is (gof)(x)? 2. What is the concentration of hydrochloric acid? The perimeter of a semicircle is 81.212 yards. what is the semicircle's diameter? Regress smoker on cubic polynomials of age, using a linear probability model. What is the p-value for testing the hypothesis that the probability model is linear in age? (two decimal places) The sciatic nerve extends from the lower spinal cord to the foot. If a person's sciatic nerve is 0.914 m in length and the speed of an action potential is 107 m/s, how long will it take for a nerve impulse to travel the full distance of this nerve? Jeff is chasing his brother running 12m/s.He speeds up to 21m/s over 15 seconds.What is the acceleration? I need help please anyone ?!!! What kind of effect can a chromosomal change can have on an organism?Opositive, negative, or no effectOpositive or no effectOnegative effectOpositive or negative effect Why is astrology considered a pseudoscience? a. it requires hypothesis testing. b. it is based on empirical evidence. c.it lacks controlled experiments. d.it rejects unsupported claims.