A show has 4,320,000 viewers for it's season premiere express this number using scientific notation

Answer:

  (√55)/8

Step-by-step explanation:

The sine and cosine are related by ...

  sin² +cos² = 1

Then the sine of the angle is ...

  sin(θ₁) = √(1 -cos(θ₁)²)

  sin(θ₁) = √(1 - (3/8)²) = √(55/64)

  sin(θ₁) = (√55)/8

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

Answer:

The US civil rights movement gain new momentum after World War II as the rallying of blacks in Montgomery and Alabama by Rosa Parks. At the time black people were separated from white people. Whites were considered as a superior and high class while on the other side blacks were counted as a lower class.

Step-by-step explanation:

Let's call the pieces 5x, 3x, and 7x respectively. The longest (7x) and shortest (3x) pieces had a difference of 64 cm. Therefore, 7x - 3x = 64 → 4x = 64 → x = 16 cm. We know that the longest piece is 7x, so its length is 7 * 16 = 112 cm. As for the total length of the cord, we can express it as 5x + 3x + 7x = 15x, which is 15 * 16 = 240 cm. Hope this helps!

1) 112 m

Answer:

2) 240 m

Step-by-step explanation:

Let the length of pieces be 5x, 3x and 7x m.

Where 3x is the shortest piece and 7x is the longest piece.

According to the given condition:

7x - 3x = 64

4x = 64

x = 64/4

x = 16 m

1) Length of longest piece = 7x = 7* 16 = 112 m

2) length of the Electrical cord in meters before it was cut = 5x + 3x + 7x = 15x = 15*16 =240 m

Answer:

1/4, 3/12, 4/16, 5/20, etc.

Step-by-step explanation:

Multiply/Divide the numerator and denominator by the same number (Ex. 1/4)

Divide by 2

2/8

2/2 = 1

8/2 = 4

1/4

Answer:

A water faucet is turned 1/7 to the right and then 3/4 to the right again.

=> In total, that water faucet turned 1/7 + 3/4 = 4/28 + 21/28 = 25/28 to the right.

Hope this helps!

:)

Answer:

D

Step-by-step explanation:

To solve 8^2 , we have to multiply 8 with itself , this means = 8 × 8 = 64 . Thus, our answer = 8²= 64.

This also known as square of a number as we multiply it with itself .

Answer:29

Step-by-step explanation:

27r=783

   divide both sides by 27

 27r÷27=783÷27

         r=29

Answer:

[tex]r = 29[/tex]

Step-by-step explanation:

[tex]27r = 783 \\ \frac{27r}{27} = \frac{783}{27} \\ r = 29[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Hope this helps!

Answer:

[tex]x=-3\\x=6[/tex]

Step-by-step explanation:

We begin with [tex]x^2-3x-18=0[/tex]

To factor this, we need to look for two things:

Two numbers that add together to get [tex]-3[/tex] and two numbers that multiply together to get [tex]-18[/tex].

One method to find the answer is to write out each of the solutions to the multiplication and then check the sum of each of those digits:

The numbers that multiply together to get [tex]-18[/tex] are:

1 and -18

-1 and 18

2 and -9

-2 and 9

3 and -6

-3 and 6

Now, we can add each of these pairs of digits together to find which one gives us an answer of [tex]-3[/tex]

[tex]1+(-18)=-17\\\\-1+18=17\\\\2+(-9)=-7\\\\-2+9=7\\\\3+(-6)=-3\\\\-3+6=3[/tex]

From this, we can see that 3 and -6 gave us the result of -3. This means that these are the two factors.

To get our answer from this, we need to put our answer in the form of [tex](x+a)(x+b)=0[/tex]

This gives us the factored form of [tex](x+3)(x-6)=0[/tex]

To solve this equation, we must make either parenthesis equal to zero. This means that our solutions will be

[tex]x=-3\\x=6[/tex]

By factoring, the solutions to the quadratic equation x² - 3x - 18 = 0 are x = 6 and x = -3.

To solve the quadratic equation x² - 3x - 18 = 0 by factoring, we need to find two binomials that, when multiplied, result in zero. The quadratic equation generally follows the format ax² + bx + c = 0, where a, b, and c are constants.

Here's the step-by-step process for factoring the given equation:

Step 1: Begin with the equation x² - 3x - 18 = 0.

Step 2: Identify two numbers whose product is -18 (the constant term) and whose sum is -3 (the coefficient of the x-term).

We find that the two numbers are -6 and +3 because:

-6 * 3 = -18 (the product of the two numbers is -18)

-6 + 3 = -3 (the sum of the two numbers is -3)

Step 3: Rewrite the middle term (-3x) using -6x and +3x:

x² - 6x + 3x - 18 = 0.

Step 4: Group the terms and factor them by pairs:

(x² - 6x) + (3x - 18) = 0.

Step 5: Factor out the greatest common factor from each group:

x(x - 6) + 3(x - 6) = 0.

Step 6: Notice that both terms have a common factor of (x - 6). Factor it out:

(x - 6)(x + 3) = 0.

Step 7: Apply the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero:

Setting each factor to zero and solving for x:

x - 6 = 0 --> x = 6

x + 3 = 0 --> x = -3

Learn more about Factorization on:

https://brainly.com/question/25829061

#SPJ6

Answer:

Step-by-step explanation:

-1\2x>4

-x> 8

x < -8

The one without a shaded knob starting from -8 on the x-axis; projecting leftward.

Answer: Multiply the length, the width, and the height.

You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W

Step-by-step explanation:

Answer:

surface area ratio = 25/9

Step-by-step explanation:

When two solid figures or shapes are similar the ratio of their corresponding length are equal. This simply means when two solids are similar the ratio of their corresponding sides are proportional. For a similar solid the ratio of their surface area is the side ratio squared.

This simply means the ratio of their corresponding sides is squared for the surface area ratio.

In the case of the given ratio of the two similar solids given as 5 : 3, the similarity ratio of the corresponding surface area can be computed below.

a/b = (a/b)²  Therefore,

5/3 = (5/3)²

surface area ratio = 25/9

Answer: your answer is 2

Step-by-step explanation:

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

[tex]P=3S+5H[/tex]

The restriction for cloth can be written as:

[tex]S+2H\leq500[/tex]

The restriction for metal can be written as:

[tex]2S+3H\leq600[/tex]

The restriction for wood can be written as:

[tex]4S+7H\leq800[/tex]

The condition for S and H to be positive is:

[tex]S, H \geq0[/tex]

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

[tex]P=3S+5H[/tex]

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

[tex]S+2H\leq500[/tex]

The restriction for metal can be written as:

[tex]2S+3H\leq600[/tex]

The restriction for wood can be written as:

[tex]4S+7H\leq800[/tex]

The condition for S and H to be positive is:

[tex]S, H \geq0[/tex]

Answer:

400

Step-by-step explanation:

75/100 = 300/x

75x = 30000

x = 400

Answer:

a) [tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) [tex]m=\frac{64.5}{2000}=0.03225[/tex]  

Now we can find the means for x and y like this:  

[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]  

[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]  

[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]  

So the line would be given by:  

[tex]y=0.3225 x -0.27[/tex]  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]  

For our case we have this:

n=4 [tex] \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501[/tex]  

[tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

[tex]m=\frac{S_{xy}}{S_{xx}}[/tex]  

Where:  

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]  

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]  

With these we can find the sums:  

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000[/tex]  

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5[/tex]  

And the slope would be:  

[tex]m=\frac{64.5}{2000}=0.03225[/tex]  

Now we can find the means for x and y like this:  

[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]  

[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]  

And we can find the intercept using this:  

[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]  

So the line would be given by:  

[tex]y=0.3225 x -0.27[/tex]  

Answer:

A.

Step-by-step explanation:

In the attached file

Answer:

8 and 1

Step-by-step explanation:

Any equation  which can be expressed in terms of a,b, c and so on is algebraic expression.

The term a, b , c ...are variables. They are called so be cause their value can change based on change in condition.

Coefficient are the number with which a variable is multiplied with.

Example

10a+ 20b+c+7d+ 10  is algebraic expression.

The terms which is free of any variable is called  constant as its value remains fixed.

In above expression 10 is constant term.

Here term a, b,d are multiplied with 10, 20, and 7 respectively. Thus, these terms are coefficient .

If any term does not explicit coefficient then its coefficient is taken as 1.

This can be explained,

as in above example c does not have any explicit coefficient attached with it

"c" can be also expressed as 1*c as multiplication with does alter the value of variable.

__________________________________

Now in  the prblem given

expression: 8a + b + 9

Variable are a , b

constant term is 9

8 is multiplied with variable a. so, 8 is coefficient of a.

b does not have any coefficient thus b coefficient can be taken as 1

as 1*b is equal to b.

Thus, coefficient in expression  8a + b + 9 is 8 and 1.

The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.

A coefficient should be integer i..e written along with a variable or it should be multiplied by the variable. In other terms, a coefficient should be considered as the numerical factor of a term that comprise of constant and variables.

So based on this, we can conclude that The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.

Learn more about an expression here: https://brainly.com/question/24595897

Answer: 242

Step-by-step explanation:

Answer:

It is 363

Step-by-step explanation:

Answer:

Total weight in lb = 10 lb

The weight of wooden pencils is 10 pounds.

Step-by-step explanation:

We are given that an office supply company is shipping a case of wooden pencils to a store.

There are 64 boxes of pencils in the case.

The weight each box of pencils is 2.5 ounces (oz)

We are asked to find the weight of wooden pencils in pounds.

Step 1: Find the total weight of pencils in ounces

Since there are 64 pencils and each pencil weighs 2.5 ounces,

Total weight in oz = 64×2.5

Total weight in oz = 160 oz

Step 2: Convert the total weight of pencils into pounds

We know that 1 pound has 16 ounces so we have to divide the total weight of the pencils by 16 to get the weight in pounds

Total weight in lb = 160/16

Total weight in lb = 10 lb

Therefore, the weight of wooden pencils is 10 pounds.

Answer: 3/20.

Step-by-step explanation: Yellow is mentioned three times in the table, so the numerator would be three and the denominator would be 20 since Danielle recorded 20 draws in the table.

Answer: 314

Step-by-step explanation:  Just google it

Answer:

a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.02}{2.58})^2}=4160.25[/tex]  

And rounded up we have that n=4161

b) [tex]n=\frac{0.96(1-0.96)}{(\frac{0.02}{2.58})^2}=639.01[/tex]  

And rounded up we have that n=640

Step-by-step explanation:

Part a

The confidence level is 99% , our significance level would be given by [tex]\alpha=1-0.99=0.01[/tex] and [tex]\alpha/2 =0.005[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.02[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't have prior info for the true proportion we can use [tex]\hat p=0.5[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.02}{2.58})^2}=4160.25[/tex]  

And rounded up we have that n=4161

Part b

For this case we have a prior estimation ofr the proportion:

[tex] \hat p=0.96[/tex]

And replacing we got:

[tex]n=\frac{0.96(1-0.96)}{(\frac{0.02}{2.58})^2}=639.01[/tex]  

And rounded up we have that n=640

Answer:

[tex]A(t)=16(0.99948)^t[/tex]

Step-by-step explanation:

The exponential function is modeled using the equation:

[tex]A(t)=A_o(1\pm r)^t[/tex]

Where the plus sign indicates growth and the negative sign indicates exponential decay.

For an exponential function has a starting value of 16 and a decay rate of 0.52%.

[tex]A_0=16\\r=0.052\%=0.00052[/tex]

This gives:

[tex]A(t)=16(1- 0.00052)^t\\A(t)=16(0.99948)^t[/tex]

The function that models this situation is:

[tex]A(t)=16(0.99948)^t[/tex]

Answer:

8

Step-by-step explanation:

to divide exponentials, subtract the exponents

15-x=7

x=8

Answer:

a) 12

b)5

Step-by-step explanation:

Answer:

(a) 12

(b) 5

Step-by-step explanation:

(a) 3/5 = (3×4)/(5×4) = 12/20

(b) (5×5)/(5×6) = 25/30

Answer:  7n−13

Step-by-step explanation: