Five country music bands and 3 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
(a) there are no restrictions on the order
(b) all the bands of each type must perform in a row

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

hi

if x= 2+4y-5  then        x-2 +5 =  4y   so   y =  (x-2+5)  /4 =  ( x+3) /4

conclusion   y  =  (x+3)/4

Answer:

C

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

Answer:

I belive this would be C

Step-by-step explanation:

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

Hence, the length of new photo=12.8 in

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2. Width= x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width = x=8 in

Substitute the values in the given formula

Hence, the length of new photo= 12.8 in

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

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Answer:

Input Data :

Fraction A = 8383

Fraction B = 7272

Objective :

Find the product of fractions?

Formula :

Solution :

83×7283×72 = ?

Mutiply both numerators & denominators

83×7283×72= 8×73×28×73×2 = 566566

Simplify above fraction 566566

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

566=56÷26÷2=283566=56÷26÷2=283

83×72=283

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

Answer:

take any 2 sides and equate it

then u will get the value of x then then take the aside and put the value of x u will get the answer

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.

Answer:

1

Step-by-step explanation:

The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.

The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be

The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.

Then the z-score will be

z = (52000 – 54000) / 5000

z = –2000 / 5000

z = –0.4

Then the correct option is B.

Then the probability will be

P(x < 52000) = P(z < 0.-4)

P(x < 52000) = 0.34458

Then the correct option is C.

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Answer:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]

[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]

[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]

Take positive square root

[tex]\frac{\sqrt{40}}{8}[/tex]

Express 40 as 4 * 10

[tex]\frac{\sqrt{4*10}}{8}[/tex]

[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]

[tex]\frac{2*\sqrt{10}}{8}[/tex]

Simplify:

[tex]\frac{1*\sqrt{10}}{4}[/tex]

[tex]=\frac{1}{4}\sqrt{10[/tex]

Hence:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Answer:

None, They are Both Equal

Step-by-step explanation:

7 2/5 = 7.4

7.4 = 7.4

So, 7.4 = 7.4

Hence, none of them are bigger

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

Answer:

20 * 19.52 = 390.40

Thank you and please rate me as brainliest as it will help me to level up

Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

Answer: Im confused?

Step-by-step explanation:

Answer:

No, because when j = 8, the values of the expressions are different.

Step-by-step explanation:

if its wrong i'm sorry

Answer:

the one above me is right

Step-by-step explanation:

evidences

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

Answer:

(g ￮ f)(-2) = 32

Step-by-step explanation:

Given

[tex]f(x)=5x+4[/tex]

[tex]g\left(x\right)=x^2-4[/tex]

We have to evaluate (g ￮ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

[tex]f(x)=5x+4[/tex]

[tex]f(-2) = 5(-2)+4[/tex]

          [tex]= -10 + 4[/tex]

          [tex]= -6[/tex]

Then

[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]

          [tex]=36-4[/tex]

          [tex]= 32[/tex]

Therefore,

(g ￮ f)(-2) = 32

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

Answer:

4

Step-by-step explanation:

its planted 2 inches below the ground and it grows 6 from the seed. it has to grow 2 inches to meet the surface of the dirt the remaining is above. therefore 6-2= your answer

The value of P( < 0.18) is 0.057.

The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.

Given:

Sample Size = 1000

and, p= 0.20

So, P( P' < 0.18)

= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )

= P ( P'- P / √ P(1- P)/ n  < -0.02/ 0.0126)

=  P ( P'- P / √ P(1- P)/ n  < - 1.582)

= P( z < - 1.582)

= 0.056939

= 0.057

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Answer:

Data

Step-by-step explanation: