Factorise x2+5x-14

:)

Since the tuba creates a 4th harmonic of frequency 116.5 hz, the length of pipe in tuba is 6.57 m

Since the tuba is an closed-pipe instrument, we need to find the frequency of a closed pipe

The frequency of a closed pipe f = nV/4L where

Making L subject of the formula, we have

L = nV/4f

Since the tuba creates the 4th harmonic with frequency 116.5 Hz.

Substituting the values of the variables into the equation, we have

L = nV/4f

L = 9 × 340 m/s/4 × 116.5 Hz

L = 3060 m/s ÷ 466 Hz

L = 6.57 m

So, the length of pipe in tuba is 6.57 m

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Answer:

5.88

Step-by-step explanation:

correct on acellus

Answer:

C

Step-by-step explanation:

She ate 3, so originally 77 cookies. Divide that by 7 batches, which is the equivalent to C

Answer: B 10 Times large

Step-by-step explanation:The first 5 is 500,000 And the second 5 is 50,000

500,000÷ 50,000= 10

Answer:

It takes 3 hours for the train to be 600 Miles apart

Answer: 93

Step-by-step explanation:

Answer:

(x + 7)/(x + 1)

Step-by-step explanation:

Simplify the following:

(x^2 + 11 x + 28)/(x^2 + 5 x + 4)

The factors of 4 that sum to 5 are 4 and 1. So, x^2 + 5 x + 4 = (x + 4) (x + 1):

(x^2 + 11 x + 28)/((x + 1) (x + 4))

The factors of 28 that sum to 11 are 7 and 4. So, x^2 + 11 x + 28 = (x + 7) (x + 4):

((x + 4) (x + 7))/((x + 4) (x + 1))

((x + 7) (x + 4))/((x + 4) (x + 1)) = (x + 4)/(x + 4)×(x + 7)/(x + 1) = (x + 7)/(x + 1):

Answer: (x + 7)/(x + 1)

Next time write the expression how it needs to be, the way you wrote it woould have given a toally different result.

x^2 + 11 x + 28/x^2 + 5 x + 4

Answer:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4 = x+7 / x+1

Step-by-step explanation:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4

1. on both the top and the bottom you have to find a factor of the last number (in this case 28 and 4) that multiplys to be the number but adds to be the 2nd term (11x and 5x)

2. for the top the two terms would be (x+7) and (x+4). on thebottom half it would be (x+4) and (x+1)

** 7 times 4 equals 28, 7 plus 4 equals 11; 4 times 1 equals 4, 4 plus 1 equals

3. x+4 is common term on both the top side and the bottom half so you cross it out. this leaves us with our answer of: x+7 over x+1

hope this helps:)

Answer:

sequence is arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms.

A geometric sequence has a common ratio between consecutive terms.

given

4 , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , 5 , that is

[tex]\frac{12}{3}[/tex] , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , [tex]\frac{15}{3}[/tex] , then

[tex]\frac{13}{3}[/tex] - [tex]\frac{12}{3}[/tex] = [tex]\frac{14}{3}[/tex] - [tex]\frac{13}{3}[/tex] = [tex]\frac{15}{3}[/tex] - [tex]\frac{14}{3}[/tex] = [tex]\frac{1}{3}[/tex]

there is a common difference d = [tex]\frac{1}{3}[/tex] between consecutive terms

thus the sequence is arithmetic

Answer:

Step-by-step explanation:

In order to solve this, you must use the distributive property.

[tex]\sf{\dfrac{4\left(5t+1\right)}{5}}[/tex]

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 4(5t+1)

Multiply by expand.

4*5t=20t

4*1=4

Rewrite the problem down.

20t+4

20t+4/5

[tex]\text{FRACTION RULES: }\\\\\\\Longrightarrow: \sf{\dfrac{A\pm \:B}{C}=\dfrac{A}{C}\pm \dfrac{A}{C}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{20t+4}{5}=\dfrac{20t}{5}+\dfrac{4}{5}}[/tex]

You have to divide the numbers from left to right.

⇒ 20/5=4

[tex]\Longrightarrow: \boxed{\sf{4t+\dfrac{4}{5} }}[/tex]

Answer:

[tex]4t + \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{4(5t + 1)}{5}[/tex]

[tex]\frac{(4 * 5t) + (4 * 1)}{5}[/tex]

[tex]\frac{20t + 4}{5}[/tex]

Step 2:  Isolate the numerator into two fractions

[tex]\frac{20t +4}{5}[/tex]

[tex]\frac{20t}{5} + \frac{4}{5}[/tex]

[tex]4t + \frac{4}{5}[/tex]

Answer:  [tex]4t + \frac{4}{5}[/tex]

Answer:

-14

Step-by-step explanation:

The sum (addition) of the three numbers would be -14 because -12+-5 is -17. Then, -17+3 would be -14.

Answer:

first one is the correct answer

Answer:

C just took the test

Step-by-step explanation:

have a good rest of your day

Answer:

c. tan(22.6o) = StartFraction a Over 12 EndFraction

Answer:

16

Step-by-step explanation:

The figure shown is a trapezoid

Area of a trapezoid = 1/2(bottom base length + top base length) × height

Bottom base length = 7 units

Top base length = 1 unit

Height = 4 units

So area = 1/2 ( 7 + 1 ) × 4

==> add 7 and 1

Area = 1/2 (8) × 4

==> multiply 1/2 and 8

Area = 4 × 4

==> multiply 4 and 4

Area = 16

Answer:

AB = 21

Step-by-step explanation:

the line EB is parallel to the side of the triangle DC and intersects the other 2 sides proportionally , that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] ( substitute values )

[tex]\frac{14}{12}[/tex] = [tex]\frac{AB}{18}[/tex] ( cross- multiply )

12 AB = 14 × 18 = 252 ( divide both sides by 12 )

AB = 21

The general structure of this section of the text is to describe both positive and negative aspects of cryptocurrency.

This is a text that describes the recent evolution of money into more modern forms as well as possible ways money might evolve.

This section focuses on the pros (advantages) and cons (disadvantages) of cryptoccurency. Due to this, the section follows a contrasting structure to show negative and positive aspects.

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Answer:

It contrasts positive aspects of cryptocurrency with negative aspects of cryptocurrency.

Step-by-step explanation:

i hope this help anyone that see this :D

Answer:

D

Step-by-step explanation:

[tex]2(\frac{7\times 6}{2})+3(13.1\times 7)[/tex]

ANSWER IS D

336

explanation:

percent. part

_______ = _____

100. whole

42. ?

____ = ____

100. 800

cross multiply

800×42=33,600

then divide by 100

33,600/100=336

Answer:

336

Step-by-step explanation:

If 42% said they shopped online last week, that means the number of people who said they shopped online last week is 42% of 800. "Of" just means we should multiply, and since 42% = 42/100 (since % is just /100), we can use the following to find the answer (I used cross multiplication to simplify):

42          800         42         8

---    *               =     ----    *       =     336

100                           1

Answer:

[tex]-\frac{2}{3} x[/tex]

Step-by-step explanation:

Hey there!

To find slope, you take [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

[tex]\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}[/tex]

Since this is the slope, you have to add a "x"

So, the slope is [tex]-\frac{2}{3} x[/tex]

The probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability of dying:

P(dying) = 1/150

P(living) = 1 - P(dying) = 1 - 1/150 = 140/150

There are 120 women.

P(x≥3) = 1 - [P(x=0) +P(x=1) + P(x=2)]

[tex]\rm P(x\geq 3)=1-[(120 \ choose \ 0)(1/150)^0)((149/150)^{120})+[/tex]  

                  [tex]\rm (120 \ choose \ 1) ((1/150)^1) ((149/150)^{119}) +[/tex]

                  [tex]\rm (120 \ choose \ 2)((1/150)^2)((149/150)^{118})][/tex]

P(x≥3) = 0.047

Thus, the probability that the company will have to pay at least $150,000 in benefits next year is 0.047 if the there are 120 women.

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The answer to the limitation of the Chi Square test (and all tests of hypothesis) about relationships between variables  is none of the above.

The Limitation of this type of test is in its sample size requirements, as there is a lot of difficulty of interpretation when samples are large.

Note that Chi Square test and all tests of hypothesis can tell us if relationships between variables are significant, random and also if it occurred by chance and as such they are no limitations here.

Therefore, option d is correct.

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Answer:

2/15

Step-by-step explanation:

there are only 2 numbers which are multiples of 6, which are both 6 and 12. That means it would be a 2/15 probability. You cannot simplify it more, so it will remain the same.

Answer:

2/15

Step-by-step explanation:

:)

Answer:

4 true false and 8 short answer

Or 15 true false and 5 short answer

Or 26 true false and 2 short answer

Step-by-step explanation:

let x be the number of true-false questions

   y be the number of short-answer questions

Then we have to solve the equation 3x + 11y = 100

Important: x and y are natural numbers

3x + 11y = 100 ⇔  100 - 11y = 3x

If y=10 ⇒ 100 - 11×10 = −10  = 3x impossible because x ≥ 0

If y=9 ⇒ 100 - 11×9 = 1  = 3x impossible because x is a natural number

If y=8 ⇒ 100 - 11×8 = 12  = 3x ⇒ x = 12/3 = 4

Then (x,y) = (4,8) is a solution to the equation

If y=7 ⇒ 100 - 11×7 = 23  = 3x impossible because x is a natural number

If y=6 ⇒ 100 - 11×6 = 34  = 3x impossible because x is a natural number

If y=5 ⇒ 100 - 11×5 = 45  = 3x ⇒ x = 45/3 = 15

Then (x,y) = (15,5) is a solution to the equation

If y=4 ⇒ 100 - 11×4 = 56  = 3x impossible because x is a natural number

If y=3 ⇒ 100 - 11×3 = 67  = 3x impossible because x is a natural number

If y=2 ⇒ 100 - 11×2 = 78  = 3x ⇒ x = 78/3 = 26

Then (x,y) = (26,2) is a solution to the equation

If y=1 ⇒ 100 - 11×1 = 89  = 3x impossible because x is a natural number

If y=0 ⇒ 100 - 11×0 = 100  = 3x impossible because x is a natural number

Answer:

$51.60

Step-by-step explanation:

Answer:

They are adjacent and supplementary

Step-by-step explanation:

Answer:

The smallest Number of ppl who bought banana's, number of kids at the park, number of ppl who landed at airport and the biggest is the number of residence in the usa

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the Pythagorean Theorem, it is found that the group will have to travel 90 miles.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

[tex]d^2 = 25^2 + 60^2[/tex]

[tex]d = \sqrt{25^2 + 60^2}[/tex]

d = 65.

The total distance is given by:

Td = 25 + 65 = 90 miles.

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Answer:

IM FROM THE FUTURE :3

Step-by-step explanation:

the answer is -6 8-

i think 3: