The bar graph displays data on the numbers of babies born each day of the week in the United States in a recent week.
All data in the graph are approximate.
Which of the following choices gives the most complete description of the information presented in the bar graph?

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).

Births occurred with similar frequencies, regardless of the day of the week.

Births occurred with the lowest frequency on Sundays.

The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

Week day births seem to be twice as common as weekend births.

The zeros for the function f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2.

To find the zeros of the function f(x), we set each factor equal to zero and solve for x. Therefore, we have x = 0, x = 4, and x = -2 as the zeros.

The end behavior of the function can be determined by analyzing the highest power of x in the equation, which is x^6. Since the power of x is even, the graph of the function is symmetric about the y-axis.

As x approaches positive infinity, the value of x^6 increases without bound, resulting in f(x) approaching positive infinity.

Similarly, as x approaches negative infinity, x^6 also increases without bound, leading to f(x) approaching positive infinity.

In summary, the zeros for f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2. The end behavior of the function is that as x approaches positive or negative infinity, f(x) approaches positive infinity.

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Answer:

the answer is 1

Step-by-step explanation:

anything to the 0th power is 1

Answer:

The answer you are looking for is 1

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

Please tell me if it is correct using the ratings or thanks

Answer:

54 feet of yarn

Step-by-step explanation:

We have a conversion rate of

1 yard = 3 feet

Sarah has 4 pieces of yarn that are 6 yards each.

Hence,

1 yard = 3 feet

6 yards = x

Cross Multiply

x = 6 × 3 feet

x = 18 feet

Therefore, 4 pieces of yarn are 18 feet each

Hence, total feet of yarn above = 4 × 18 feet = 72 feet

She uses 9 pieces of yarn that are each 2 feet long.

Total feet of yarn here is:

9 × 2 feet = 18 feet of yarn

Therefore, the amount of yarn Sarah have left is calculated as:

72 feet - 18 feet

= 54 feet of yarn

Answer:

5.63 is less than 33.

Explanation:

5.63 has a decimal after the 5 thus making it less than 6. 33 is greater than 6, which means 33 is greater than 5.63

The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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Answer:

6-11

Step-by-step explanation:

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

34mph

...............

Answer:

34mph ALSO TOP OF THE MORING LADIE

Step-by-step explanation:

Answer:

Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.

Let's check

Area of sector

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer: less than

Step-by-step explanation:

Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

Answer:  0.4

Step-by-step explanation:

Answer:

y = 1/4x + 8

Step-by-step explanation:

use m a t h w a y . c o m next time it always gives the right answers

Answer:

364

Step-by-step explanation:

13÷4732= 364

I hope it help^^

The probability of customers buying each insurance is 1/24.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of sales is 6.

Total number of customers is 12.

The number of customers interested only in auto insurance is 6.

The number of customers interested only in homeowners insurance is 4.

The number of customers interested only in life insurance is 2.

Now, the probability that two sales are for auto insurance is given as,

2/6 = 1/3

The probability that two sales are for homeowners insurance is given as,

2/4 = 1/2

And,  the probability that two sales are for life  insurance is given as,

2/4 = 1/2

Thus the probability of two sales for each insurance is given as the product of all the three probabilities as,

 1/3 × 1/2 × 1/2 = 1/12

And, the probability of six customers out of 12  buying the sales is,

6/12 = 1/2

Thus, the probability for the given case is,

1/2 × 1/12 = 1/24

Hence, the probability for the given problem is 1/24.

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Answer:

x=78°

y=78°

z=102°

Step-by-step explanation:

x=78°

y=78°

z=180-78=102°

The polynomial equation 2x - 1 = 2x^3 - x^2 can be factored as (2x - 1)(x^2 + 1) = 0. Setting each factor to zero gives the solutions x = 1/2 and x = ±i.



To solve the polynomial equation 2x - 1 = 2x^3 - x^2 by factoring and using the zero-product principle, we first need to rearrange the equation to have all terms on one side equal to zero:

2x^3 - x^2 - 2x + 1 = 0

Now, let's attempt to factor the polynomial. To do this, we can look for common factors among the terms. In this case, we can factor out a common factor of (2x - 1):

(2x - 1)(x^2 + 1) = 0

Now we have factored the polynomial equation. According to the zero-product principle, if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. Therefore, we set each factor equal to zero and solve for x:

Setting 2x - 1 = 0:

2x = 1

x = 1/2

Setting x^2 + 1 = 0:

x^2 = -1

x = ±√(-1)

x = ±i

Therefore, the solutions to the polynomial equation 2x - 1 = 2x^3 - x^2 are x = 1/2 and x = ±i.

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Answer:

0.07   Locate and underline the hundredths place (6) then look at the digit to the right (9):

0.069

Step 2: In this case, the digit to the right (9) is 5 or above. So, we add 1 to the hundredths place (6). The digit(s) after the (6) are replaced by zeros (or dropped)

Answer:

Step-by-step explanation:

In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.

Answer:

1/18 or 18 is your answer.

Step-by-step explanation:

Since 1/3 is already in fraction form, we will now turn 6 into fraction form.  Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18.  The fraction 1/18 can also be 18.  Therefore, 18 or 1/18 is our answer.

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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Since 8 is the lowest integer in the range supplied, it is the smallest value in the list. Since 13 is the highest number in the given range, it is the greatest value on the list.

A list of numbers' range is the range of the numbers the list includes. The lowest and highest numbers in the list are typically used to represent the range. The range in this instance is 8 to 13, therefore all numbers between 8 and 13 are included in the list, including these two figures. The lowest number in the range, which is 8, corresponds to the smallest value in the list. The list's maximum value corresponds to the range's highest number, which is 13. As a result, the list's smallest and greatest values are 8 and 13, respectively. The range of values in a list must be considered when determining the lowest or greatest value.

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Answer:

Step-by-step explanation:

you could do is buy 2x on the x-axis

Step-by-step explanation:

Equation for the line of reflection is the diagonal line y = x.

the answer is C

Step-by-step explanation:

2 is the x axis and 5 is the y

The ordered pair (a, b) that is a solution to the given system of linear equations is (-13, 4) (option b).

The given system of linear equations is:

1) -2a + 3b = -14

2) a - 4b = -3

Let's substitute the values of a and b from each ordered pair and check if they satisfy both equations.

a) (-13, 74)

Substituting into the equations:

1) -2(-13) + 3(74) = -14 (True)

2) (-13) - 4(74) = -3 (False)

Since the second equation is not satisfied, (-13, 74) is not a solution to the system of equations.

b) (-13, 4)

Substituting into the equations:

1) -2(-13) + 3(4) = -14 (True)

2) (-13) - 4(4) = -3 (True)

Both equations are satisfied by (-13, 4), so it is a solution to the system of equations.

c) (24, -13)

Substituting into the equations:

1) -2(24) + 3(-13) = -14 (False)

2) (24) - 4(-13) = -3 (False)

Neither equation is satisfied by (24, -13), so it is not a solution to the system of equations.

d) (54, 13)

Substituting into the equations:

1) -2(54) + 3(13) = -14 (False)

2) (54) - 4(13) = -3 (False)

Neither equation is satisfied by (54, 13), so it is not a solution to the system of equations.

Therefore, the only ordered pair (a, b) that is a solution to the given system of linear equations is (-13, 4) (option b).

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The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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A differential equation's existence and uniqueness in mathematics refers to the existence of a single, clearly defined solution that meets a certain set of requirements.

A differential equation is a type of mathematical equation that links a number of known functions or variables to an unknown function and its derivatives. If a differential equation has existence and uniqueness of solution, it means that there is only one function that satisfies the equation and corresponds to the given conditions for a given set of beginning circumstances.

The terms and structure of the differential equation, such as linearity and initial conditions, decide whether or not a solution exists. The Piccard-Lipschitz theorem, which asserts that if a function and its derivatives are locally Lipschitz continuous, then the solution to the differential equation is unique in a neighbourhood of the initial conditions, frequently ensures the uniqueness of the solution.

In conclusion, the existence and uniqueness of a solution in differential equations is a crucial idea in mathematical modelling and aids in making sure that the solutions to a given problem are clear-cut and consistent with the underlying conditions.

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