Given the points (-2, 0), (-1,0), (0, – 8), (2, 0), write the polynomial in factored form.

The height of the statue is:

A. 276 inches

If Wally, who is 69 inches tall, catch a shadow that is 41 inch in length.

To determine the height of the statue, you can use the principle of similar triangles. Similar triangles have the same angles, but not necessarily the same side lengths. You can use the ratio of the height of Wally and the length of his shadow to the height of the statue and the length of its shadow to find the height of the statue.

Height of Wally: 69 inches

Length of Wally's shadow: 41 inches

Height of statue: x

Length of statue's shadow: 164 inches

You can set up the proportion as:

69/41 = x/164

Solving for x, you get:

x = (69 × 164)/41

x = 276 inches

Thus the answer is A. 276 inches.

Learn more height of statue calculation here:

https://brainly.com/question/4729829

#SPJ4

What we know:      

\(f(x)=3^2+10x\\g(x)=2x-4\)                

(Also, \(3^2=9\))

What we need to solve:

\((f-g)(x)\)             (This is equal to \(f(x)-g(x)\))

How you have to subtract \(f(x)\) with \(g(x)\) to get:

\((f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5\)

Thus, the answer would be:

\(12x+5\)

The standard error of the mean is approximately $115.63.

The standard error of the mean (SEM) measures the variability or uncertainty in the sample mean compared to the true population mean. It indicates the average amount that the sample mean differs from the population mean.

To calculate the standard error of the mean, we use the formula:

SEM = σ / √n

Where:

SEM: Standard error of the mean

σ: Population standard deviation

n: Sample size

Given information:

Population standard deviation (σ) = $1,850.00

Sample size (n) = 256

Plugging in the values into the formula, we can calculate the standard error of the mean:

SEM = 1850 / √256

To simplify the calculation, let's first calculate the square root of 256:

√256 = 16

Now, we can divide the population standard deviation by the square root of the sample size:

SEM = 1850 / 16

Simplifying the fraction, we have:

SEM = 115.625

Therefore, the standard error of the mean is approximately $115.63.

for such more question on standard error

https://brainly.com/question/475676

#SPJ11

The probability is 1/9.

To learn more about probability from the given link :

https://brainly.com/question/11234923

#SPJ4

Answer:

75000000

Step-by-step explanation:

se multiplica

45×70= 3150 metros

luego multiplica

60×50= 3000 metros

luego se divide

78750000/ 3150 = 25000

y por último multiplica

25000×3000

conclusiones

el metro cuadrado de tierra vale 25000 por lo que los 3000 metros cuadrados que son del terreno de 60x50 estan valorados en 750000000

Answer:

the answer is i dont know

Step-by-step explanation:

just pretend that this is answer

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Answer:

5

Step-by-step explanation:

- and - =+

8+2=10

10 divided by 2=5

hope that helps

if correct plz mark brainlest

thank you

19NBoli

The z value for  a 97.8% confidence interval estimation is determined as 2.29.

The z value for  a 97.8% confidence interval estimation is calculated as follows;

The find the Z score, go to a Z lookup table which is found in a textbook or on an internet source. z table is created to give the possibility in a one-tailed analysis.

A confidence interval is a two-tailed examination,  in order to prepare the z score for 97.8%, look up the probability of 98.9%.

The value of 98.9% is

= (0.978 + 1 )/ 2

= 0.989 or 98.9%.

This implies that the z score of the date is 2.29.

Learn more about z-score here: https://brainly.com/question/28000192

#SPJ1

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

To know more about Cardamom cookies .

https://brainly.com/question/31945877

#SPJ11

The value of the given double integral in polar coordinates is (-1/2 e^(-4) + 1/2) (π/2).

To convert the given double integral to polar coordinates, we make the following substitutions:

x = r cosθ

y = r sinθ

The limits of integration need to be adjusted accordingly. In polar coordinates, the region of integration is a quarter circle of radius 2. The limits for r are from 0 to 2, and the limits for θ are from 0 to π/2.

The double integral becomes: ∫₀^(π/2) ∫₀² e^(-r²) r dr dθ

We integrate with respect to r first:

∫₀^(π/2) [-1/2 e^(-r²)] from r = 0 to r = 2 dθ

= ∫₀^(π/2) (-1/2 e^(-4) + 1/2) dθ

= (-1/2 e^(-4) + 1/2) ∫₀^(π/2) dθ

= (-1/2 e^(-4) + 1/2) [θ] from θ = 0 to θ = π/2

= (-1/2 e^(-4) + 1/2) (π/2 - 0)

= (-1/2 e^(-4) + 1/2) (π/2)

Therefore, the value of the given double integral in polar coordinates is (-1/2 e^(-4) + 1/2) (π/2).

LEARN MORE ABOUT polar coordinates here:  brainly.com/question/31904915

#SPJ11

The product of the roots x1 and x2 is equal to 5. We can use the fact that for a quadratic equation of the form ax² + bx + c = 0, the product of the roots (solutions) is given by:

Product of roots = c/a

In this case, the equation is:

2x² + 6x + 10 = 0

Dividing both sides by 2 to simplify the equation, we get:

x² + 3x + 5 = 0

Comparing this with the standard form of a quadratic equation (ax² + bx + c = 0), we have:

a = 1

b = 3

c = 5

Using the formula for the product of the roots, we get:

Product of roots = c/a

Product of roots = 5/1

Product of roots = 5

Therefore, the product of the roots x1 and x2 is equal to 5.

learn more about quadratic equation here

https://brainly.com/question/30098550

#SPJ11

Answer:

67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

The angle measurements that have a cosine value of 0.44 are approximately 63° and 297°.

To find the angle measurements with a cosine value of 0.44, we need to use the inverse cosine function (also known as the arccosine function) on 0.44. The inverse cosine function returns the angle whose cosine value is equal to the given value.
Using a calculator or a mathematical software, we can find the inverse cosine of 0.44. The inverse cosine of 0.44 is approximately 63°. However, cosine is a periodic function, meaning it repeats itself every 360°. So, to find all possible angle measurements, we can add or subtract multiples of 360°.
Therefore, the angle measurements that have a cosine value of 0.44 are approximately 63° and 297°. These are the principal angles that satisfy the given condition, and by adding or subtracting multiples of 360°, we can find an infinite number of angles with the same cosine value.

Learn more about angle measurements here
https://brainly.com/question/31186705



#SPJ11

\(f(x)=4x^2+4x-3\)

1. Determine y-intercept.

The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.

2. Determine the zeros.

Factor the polynomials first. \((2x-1)(2x+3)\) This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2

3. Determine the Axis of Symmetry

We can solve this by using the formula of \(x=-\frac{b}{2a}\)  However, I'll be solving the Axis of Symmetry with Calculus instead.

\(f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4\)

Then let f'(x) = 0 to find the Axis of Symmetry.

\(8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}\)

Therefore, the Axis of Symmetry is -1/2

4. Determine the vertex.

Substitute the value of Axis of Symmetry in f(x).

\(f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4\)

Therefore the vertex is at (-1/2, -4)

5. Does the vertex representing max-pont or min-point?

The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE.

7. Graph f(x)

Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).

--------------------------- End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

\(y=ax^2+bx+c\)

The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is.

For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.

3. Write in Factored Form

\(y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)\)

These are factored forms with different types of operators.

The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)

4. Write in Vertex Form.

\(y=a(x-h)^2+k\)

The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.

The vertex is at (h,k) and the axis of symmetry is at x = h.

For example, \(y=(x-2)^2+3\)

The vertex would be at (2,3) and the axis of symmetry is x = 2.

Step-by-step explanation:

4x= 24-8x

(i did the inverse and added 2)

12x=24

(added 8x from inverse)

x=2

(24 divided by 12)

Final Answer: x=2

Answer:

the answer is (n+2) (n+5)

Step-by-step explanation:

Factor n^2 + 7n + 10 using the AC method.

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

A or B, it's either one of the two

a) Total 173 full jugs can be filled.

b) Approximately 4.9 liters of water would be left over.

We'll divide the total volume of water in the cistern by the capacity of each jug to determine how many full jugs may be filled and how much water is left over.

Total volume of water in the cistern = 904.5 liters

Capacity of each jug = 5.2 liters

a) Number of full jugs that can be filled:

Number of full jugs = Total volume of water in the cistern / Capacity of each jug

Number of full jugs = 904.5 liters / 5.2 liters

Number of full jugs ≈ 173.65

We can only fill up to 173 full jugs because we aren't allowed to use partial jugs.

b) Amount of water left over:

Amount of water left over = Total volume of water in the cistern - (Number of full jugs × Capacity of each jug)

Amount of water left over = 904.5 liters - (173 × 5.2 liters)

Amount of water left over ≈ 904.5 liters - 899.6 liters

Amount of water left over ≈ 4.9 liters

Therefore, there would be approximately 4.9 liters of water left over.

To learn more about volume link is here

brainly.com/question/31606882

#SPJ4

The complete question is:

A cistern contains 904.5 liters of water and you want to fill jugs with a capacity of 5.2 liters of water each

a) How many full jugs can be filled?

b) How many liters of water would be left over?

Answer = 33.75%

Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.

.45*75 = 33.75 of the original 100 Applicants have enrolled.

A recursive sequence that represents the sequence defined by the explicit formula is -20, -40, 80 and 160

A recursive sequence is a sequence that is defined by a starting value, a rule to generate the next terms, and the previous terms of the sequence. In other words, to find any term in a recursive sequence, you need to know the previous terms.

Now, let's consider the sequence defined by the following explicit formula:

aₙ= -5(-2)ⁿ+1

To find the first term, we can substitute n=1 into the formula:

a₁= -5(-2)¹+1 a₁= -5(-2)² a₁= -5(4) a₁= -20

Therefore, a₁=-20.

To find a recursive formula for the sequence, we need to use the previous term(s) in the formula. In this case, we can express aₙ in terms of which is the previous term:

aₙ= -5(-2)ⁿ+1 a_(n-1)= -5(-2)ⁿ⁻¹+1

By substituting a_(n-1) into the formula for aₙ, we obtain:

aₙ= -5(-2)ⁿ+1 aₙ= -5(-2)(-2)ⁿ⁻¹+1 aₙ= 2a_(n-1)

Therefore, the recursive formula for the sequence is:

a₁= -20 (the starting value) aₙ= 2a_(n-1) for n > 1 (the rule to generate the next terms)

To generate the sequence using this recursive formula, we can start with the first term a₁=-20 and use the formula repeatedly to find the next terms. For instance:

a₂= 2a₁= 2(-20)= -40

a₃= 2a₂= 2(-40)= 80

a₄= 2a₃= 2(80)= 160 and so on.

To know more about sequence here

https://brainly.com/question/30262438

#SPJ1

Answer:

y - 4 = 3x + 12

y= 3x + 12 + 4

y = 3x + 16

Answer:

y = 3x + 16

Step-by-step explanation:

The slope-intercept form is: y = mx + b

m is the slope which in this question is 3.

y = 3x + b

4 = 3(-4) + b

4 = -12 + b

16 = b

A company wants to determine which of the two production methods has a shorter completion time. To collect completion time data, one sample of workers is randomly selected, and each worker first uses one method, and then the other method.

The sampling method used for data collection is based on a "within-subject design."The within-subject design, also known as a repeated measures design, is a type of research design in which all participants receive both levels of the independent variable (production methods) in a random order. This design is also known as a repeated-measures design, a within-subjects analysis, or a longitudinal design since it collects data over time and compares each participant's performance to his or her own scores on a different occasion.

To know more about completion visit :-

https://brainly.com/question/31805969

#SPJ11

the answer to 40 divided by 180 is 4.5

If 23 fifth grade textbooks were used for the tower and the tower was 57. 1 cm tall, how many sixth grade textbooks were used?

To find out how many sixth grade textbooks were used, divide 57.1 cm by the height of one sixth grade textbook. Then multiply that number by 23 to get the total number of sixth grade textbooks used.

If you want to find out how many sixth grade textbooks were used for the tower, you first have to calculate the height of one sixth grade textbook. Once you have that measurement, you can divide 57.1 cm by that height to get the number of sixth grade textbooks used in the tower. To get the total number of textbooks used, you then need to multiply the number of textbooks per tower by 23, since 23 fifth grade textbooks were used. In other words, if the height of one sixth grade textbook is h, the number of sixth grade textbooks used is (57.1 cm / h) * 23. This equation gives you the number of sixth grade textbooks used, based on the height of one sixth grade textbook and the total height of the tower.

Learn more about Divide here

https://brainly.com/question/15381501

#SPJ4

Answer:

50 days

Step-by-step explanation:

1/8 pound of weight = 25/4 days

8/8 pound of weight = 25/4 × 8

                                  = 200/4

                                  = 50 days

Answer:

A. 50

B. 7.28? pounds

Step-by-step explanation:

I'm sure to my answer in leter A so don't worry.

But in letter B i'm not pretty much sure.

a. the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%). b. the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%). c. the percentage score required to be in the top 10% of students is approximately 75.24%. d. the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).

a. To find the probability that a student in the class passes the course (assuming a passing grade is 50%), we need to calculate the area under the normal distribution curve for scores greater than or equal to 50%.

Using Table A or a standard normal distribution calculator, we can find the z-score corresponding to a score of 50% in a normal distribution with a mean of 65% and a standard deviation of 8%.

The z-score can be calculated as:

z = (x - mean) / standard deviation

z = (50 - 65) / 8

z = -1.875

From Table A, the corresponding area (probability) for a z-score of -1.875 is approximately 0.0301.

Therefore, the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%).

b. To find the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale, we need to find the corresponding z-score for 3.3.

Since the Queen's University GPA Scale is not explicitly mentioned in the question, we will assume a standard normal distribution with a mean of 0 and a standard deviation of 1.

Using Table A, the area (probability) for a z-score of 3.3 is approximately 0.9992.

Therefore, the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%).

c. To find the percentage score required to be in the top 10% of students, we need to find the z-score corresponding to the area under the normal distribution curve that leaves a probability of 10% in the upper tail.

Using Table A, the z-score corresponding to the top 10% (or 90th percentile) is approximately 1.28.

Now, we can calculate the percentage score using the z-score:

z = (x - mean) / standard deviation

1.28 = (x - 65) / 8

Solving for x, we get:

x - 65 = 1.28 * 8

x - 65 = 10.24

x = 75.24

Therefore, the percentage score required to be in the top 10% of students is approximately 75.24%.

d. To compare the student's performance in the statistics and microeconomics classes, we can use z-scores to standardize the scores relative to their respective class distributions.

For statistics:

z_stats = (x_stats - mean_stats) / standard_deviation_stats

z_stats = (80 - 65) / 8

z_stats = 1.875

For microeconomics:

z_micro = (x_micro - mean_micro) / standard_deviation_micro

z_micro = (80 - 60) / 11

z_micro = 1.818

Comparing the z-scores, we see that the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).

Since z-scores represent the number of standard deviations above or below the mean, a higher z-score indicates better performance relative to the class. Therefore, the student has performed better in statistics relative to their peers compared to their performance in microeconomics.

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

Answer:

3/8

Step-by-step explanation:

2/8 is equivalent to 0.25.

3/8 > 2/8

0.25

Hope this helped :T