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1
Is it a function?

Answer:

27units

Step-by-step explanation:

volume of a rectangular prism v=sh

s=v/h = 278.1/10.3 =27 units

so the area of its base is 27 units

Answer:

Yes

Step-by-step explanation:

Supplementary angles are a set of angles that always add up to 180 degrees.

Answer: C

Step-by-step explanation:

The answer is C

The graph C. represents the polynomial with zeros of -3, 0 and 2.

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.

Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.

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Answer:

1. In order for Pattern B to be linear, the common difference of the number of dots between each step should be constant.  As it is not constant, the pattern is not linear.

2. In order for Pattern B to be exponential, the common ratio of the number of dots between each step should be constant.  As it is not constant, the pattern is not exponential.

3. In order for Pattern B to be quadratic, its sequence of second differences must be constant.

First differences:

\(1 \underset{+1}{\longrightarrow} 2 \underset{+3}{\longrightarrow} 5 \underset{+5}{\longrightarrow} 10\)

Second differences:

\(1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5\)

Therefore, as the sequence of second difference is constant, the patten is quadratic.

The function for pattern B is:  \(f(x)=x^2+1\)

(where x is the step number)

Answer:

Step-by-step explanation:

(-3m + 3d) : 3 =

(-3m + 3d) x 1/3 =

-m + d

Answer:

x=6

Step-by-step explanation:

VZ=UZ

3x+5=23

3x=18

x=6

Answer:

implify the expression.

Exact Form:

39/16

Decimal Form:

2.4375

Mixed Number Form:

2 7/16

Step-by-step explanation:

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

Error margin, also known as margin of error, can be calculated by using the standard deviation or the confidence interval of a sample.

Error margin is a measure of the uncertainty associated with a sample estimate. It's used to indicate the level of accuracy of the sample estimate. The most common way to calculate the error margin is to use the standard deviation or the standard error of the sample estimate.

The standard deviation is a measure of the spread of the data and it tells you how much the data varies from the mean. The standard error is the standard deviation of the sampling distribution of a statistic. It tells you how much the sample estimate varies from the true population value.

Another way to calculate error margin is to use the confidence interval, which is a range of values that is likely to contain the population parameter with a certain level of confidence.

It's calculated by multiplying the standard error by a critical value from a t-distribution and adding or subtracting it from the sample estimate.Keep in mind that the error margin is not a measure of the precision of the measurement device, but it's a measure of the precision of the sample estimate.

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Answer:

Angle 0 is 6.28/3. or 2.093.

Step-by-step explanation:

Pie is an irrational number, so it will be repeating forever. A simple way to get pie is just 3.14. 3.14 times 2 is 6.28. Divide 6.28 by 3 to get 2.093 repeating, but simplified is 2.093.

Step-by-step explanation:

1. 42m below the sea level.

2. you withdrawn 42 dollars from 100.

3. -14°C or -14°F or -14K.

4. your height increased from 242inches to 245 inches. your height increased by 3 inches !

hope this helps you.

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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The axis of symmetry of the function is x=-1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(x)=(x+1)²-4.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (-1,-4)

Focus: (-1,-15/4)

Axis of Symmetry: x=-1

Directrix: y= -17/4

Plot the points (-3, 0), (-2, -3), (-1, -4), (0, -3) and (1, 0)

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (1,0),(-3,0)

y-intercept(s): (0,-3)

Therefore, the axis of symmetry of the function is x=-1.

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Answer:

domain : - 4 ≤ x ≤ 6

Step-by-step explanation:

the domain is the values of x that cover the graph

the solid black circles indicate that x can equal these values, in this case x = - 4 and x = 6

all other values of x between these points are included in the domain, so

domain : - 4 ≤ x ≤ 6

Answer:

Step-by-step explanation:

Set up synthetic division, starting with x - 1 as the divisor, and then (from that) 1:

1     /    1   0    0    -1               The coefficients of x^2 and x are zero here.

               1     1      1

     --------------------------

         1     1      1      0              

Since the remainder is zero, 1 is a root and x - 1 is a factor of the original

x^3 - 1 = 0.

there is a theory that says since we think it's wet that it gives the feeling so try thinking dryness when u feel water on your skin to see if water I'd actually wet

Answer:

10 packages

Step-by-step explanation:

153-63=90 since each package has 9, 90/9 is 10 packages

the algebraic version is

(153-63)/9=x

a) The probability model for rolling two 4-sided dice can be represented as a table or matrix with 16 equally likely outcomes, each with a probability of 1/16.

b) The probability the sum of the numbers is 5 based on the probability model is 25%

a) The probability model for rolling two 4-sided dice can be represented using a table or a matrix, where the rows and columns represent the possible outcomes of the first and second die, respectively. Since each die has four equally likely outcomes, there are 4 x 4 = 16 possible outcomes in total. We can list these outcomes as ordered pairs (blue, yellow), where blue and yellow represent the numbers on the bottom of the blue and yellow dice, respectively

(1,1) (1,2) (1,3) (1,4)

(2,1) (2,2) (2,3) (2,4)

(3,1) (3,2) (3,3) (3,4)

(4,1) (4,2) (4,3) (4,4)

Each outcome has a probability of 1/16, since each die has four equally likely outcomes.

b) To find the probability that the sum of the numbers is 5, we need to count the number of outcomes where the sum is 5 and divide by the total number of outcomes. There are four outcomes where the sum is 5: (1,4), (2,3), (3,2), and (4,1). Therefore, the probability is

4/16 = 1/4 = 0.25 = 25%

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Answer:

i don get it

Step-by-step explanation:

i stil don get it

Answer: 92

Step-by-step explanation:

Observe that the probability is symmetric around \(45^{\circ}\).

If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).

We can now rearrange as follows:

\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)

Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,

\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).

Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).

This means, \(m=2, n=90 \implies m+n=92\).

Answer:

A is equal to 20.

Step-by-step explanation:

To find the missing side we have to square both 21 and 29.

 Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.

 Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.

The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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Answer: It costs 8.75$ for 5 cartons of juice

Step-by-step explanation:

find the amount of money it costs for 1 carton of juice

5.25/3=1.75

It costs 1.75$ for one carton of juice

We need to find the price of 5 cartons.

5*1.75=8.75$

a)The x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.

b)The co-ordinates of P and Q are (-5, -1) and Q = (1, 5).

The given equation of the circle is;

x² + y² = 26.

Th circle satisfies the line y = x + 4.

Thus, Put the value of y in the main equation.

x² + (x + 4)² = 26.

Simplify the equation;

x² + x² + 16 + 8x = 26

2x² + 8x - 10  = 0

Divide the equation by 2.

x² + 4x - 5  = 0  

Part a: This shows that x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.

Part b: Now, do the factorization of x² + 4x - 5  = 0.

(x + 5)(x - 1) = 0

x = -5 and 1.

For x = -5; y = -1

Point P = (-5, -1)

For x = 1; y = 5

Point Q = (1, 5)

Thus, the requires points P and Q are obtained.

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Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

Answer:

$110.21

Step-by-step explanation:

well 7% of 103 is 7.21  so if you add that to 103 it = 110.21

Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.