Simplify the expression using the properties of operations.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is

A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Option B is correct.

A  limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Case 1 .  If  a < b  or  [tex]\frac{b}{a}>1[/tex]

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   [tex]\frac{b}{a}<1[/tex]

Then the limacon does not have an inner loop.

Here, given that,  [tex]r=3+4cos\theta[/tex]

It is observed that,  a < b  or [tex]\frac{b}{a}>1[/tex]

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

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Answer:

The pizza was heated 7.50 degrees

Answer:

11.28

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]  which agrees with answer B

Step-by-step explanation:

First write the equation that represents this type of variation:

[tex]y=\frac{5}{x}[/tex]

then we need to solve for "x" when y  = 10 as shown below:

[tex]y=\frac{5}{x} \\10=\frac{5}{x} \\10*x=5\\x=\frac{5}{10} \\x=\frac{1}{2}[/tex]

Answer:

its the first one and the last one ..that's the answer.

Answer:

is rotation of 90° counterclockwise about origin and hence it is the correct answer.Step-by-step explanation:

Answer:

The most important lab safety rule is to know the location of and how to use safety equipment, such as a fire extinguisher.

Step-by-step explanation:

Hope this helps you

Crown me as brainliest:)

Answer:

(Amount for 1 inch of red ribbon) x (240) = total cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 degrees

x + y = 180

x = y

x + x = 180

2x = 180

x = 180/2

x = 90

Both the angle and its supplement = 90

Answer:

mais age is 13

Step-by-step explanation:

104 divided by 8 is 13

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m

Hope this helps:)

Answer:

m= -5.3

Step-by-step explanation:

-39.75=7.5m

(divide both sides by 7.5)

-5.3=m

Answer:

4

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same.

m = 4

Step-by-step explanation:

let y = f(x)

y = 2x/7 + 4

2x/7 = y - 4

x/7 = (y - 4)/2

x = 7(y - 4)/2

therefore, f^-1(x) = 7(x - 4)/2 (Option A)

Topic: Functions

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Answer:

6a-18

Step-by-step explanation:

Answer:

what?

how do i draw on here

Step-by-step explanation:

Answer:

He would spend 100 dollars :)!

Answer:

X intercept is the point where the line meets the x. y intercept is the point where the line meets the y.  So, the x intercept is -7.5 and the y intercept is 5.5.

Answer:

the answer is equal to $1000cm

Answer:

16 students will not be riding in that van today

Answer:16 students would be left behind or they would have to get another bus with 4 students in one bus

bus 1 =12 kids bus2=12 kids bus 3=4 kids

Step-by-step explanation:

Answer:

1) 11

2) 4

Step-by-step explanation:

1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.

2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.

Answer:

(a) 0.2061

(b) 0.2514

(c) 0

Step-by-step explanation:

Let X denote the heights of women in the USA.

It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

[tex]P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z<0.82)\\\\=0.20611\\\\\approx 0.2061[/tex]

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

[tex]P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z<0.67)\\\\=1-0.74857\\\\=0.25143\\\\\approx 0.2514[/tex]

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

[tex]P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0[/tex]

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

Answer:

-1, 3

Step-by-step explanation:

3 units up and 3 units to the left should work on 1,-3

Answer:

If you subtract 4 from a, it will be greater than b

Step-by-step explanation:

Ok, so in order to solve this, it would be easier to substitute (a,b) into the equation:

b>a-4

Ok, next, you just have to work out each individual question to see which one is incorrect. You can immediately know it is the first one, and this is because we know that B is larger in this equation, but the problem says that subtracting 4 from a would be greater than b. This is incorrect, b is greater than 4-a, so the top left would be your answer.

Hope this helps!