I need help in Algebra

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

What is parabola and examples?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

Learn more about parabola

brainly.com/question/11911877

#SPJ4

Answer:

Step-by-step explanation:

26 pounds because the weight of the first object on the earth is 90 pounds but on the moon it is 15 pounds this gives us a ratio between the relative gravitational field strengths of the earth and the moon

Answer:

26 pounds.

Step-by-step explanation:

By proportion:

15/90 = w /156  where w is the object's weight on the moon.

90w = 15*156

w = (15*156)/90

= 26.

Answer:

W = 24 L = 6  or W = 6  L= 6

Step-by-step explanation:

24 x 6  = 144  144 ÷ 2 = 72

The value of the a in the quadratic equation is 4.

According to the statement

we have given that the x = 1 and the given equation is  (2x)^2=a

And we have to find the value of A here.

So, For this purpose, we know that the

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

And the given quadratic equation is

(2x)^2 = a

we know that the x  = 1 and put the value of x in it then

(2(1))^2= a

(2)^2= a

a  = 4.

Now for rechecking of the value, put a = 4 in the given equation then

(2x)^2 = a

Put a  = 4

Then

(2x)^2 = 4

2x = 2

And the value of x become

x = 1.

Which equal to the given value of the x which is 1.

So, The value of the a in the quadratic equation is 4.

Learn more about Quadratic equation here

https://brainly.com/question/1214333

#SPJ4

Statistical significance refers to the conclusion that the observed effects are unlikely to be due to chance and that there are no reasonable alternative explanations.

Statistical significance pertains to the rigorous evaluation of data to determine the likelihood that observed effects are genuine and not merely a result of random chance. It involves conducting statistical tests, such as hypothesis testing or confidence interval estimation, to assess the strength of the evidence in favor of a particular hypothesis or relationship.

By achieving statistical significance, researchers can conclude that there are no reasonable alternative explanations for the observed effects. This means that the observed results are unlikely to be attributed to random variation alone and suggest the presence of a true relationship or effect in the population.

Statistical significance relies on the statistical data of the experimental design, involving the collection, analysis, and interpretation of relevant data. It does not directly address the representativeness of the sample, which pertains to how well the sample represents the larger population. However, a representative sample is crucial for drawing accurate statistical inferences and enhancing the generalizability of the findings.

While statistical significance focuses on the current study's results, its importance also extends to future research on the topic. Significant findings contribute to the scientific knowledge base, guiding future investigations and influencing the direction of research. Therefore, the importance of statistical significance lies not only in drawing valid conclusions but also in shaping the course of future studies in the field.

Learn more about hypothesis testing here:

https://brainly.com/question/17099835

#SPJ11

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

Learn more about allowance time, here:

https://brainly.com/question/30011892

Using the k-Nearest Neighbours algorithm with k=1 and the Euclidean metric, the Y_test values for the given test data are [0, 3].

To determine the Y_test values using k-Nearest Neighbours with k=1 and the Euclidean metric, we follow these steps:

Define the training data: X_train contains five samples with corresponding labels Y = [0, 1, 2, 1, 3].

Define the test data: X_test contains two samples, [3,3] and [9,1].

Calculate the Euclidean distance between each test sample and all training samples. For [3,3]:

Distance to [1,1] = sqrt((3-1)^2 + (3-1)^2) = sqrt(8) ≈ 2.83

Distance to [8,3] = sqrt((3-8)^2 + (3-3)^2) = 5

Distance to [2,6] = sqrt((3-2)^2 + (3-6)^2) = sqrt(10) ≈ 3.16

Distance to [9,4] = sqrt((3-9)^2 + (3-4)^2) = sqrt(34) ≈ 5.83

Distance to [7,2] = sqrt((3-7)^2 + (3-2)^2) = sqrt(13) ≈ 3.61

For [9,1]:

Distance to [1,1] = sqrt((9-1)^2 + (1-1)^2) = sqrt(64) = 8

Distance to [8,3] = sqrt((9-8)^2 + (1-3)^2) = sqrt(5) ≈ 2.24

Distance to [2,6] = sqrt((9-2)^2 + (1-6)^2) = sqrt(58) ≈ 7.62

Distance to [9,4] = sqrt((9-9)^2 + (1-4)^2) = 3

Distance to [7,2] = sqrt((9-7)^2 + (1-2)^2) = sqrt(5) ≈ 2.24

Find the closest neighbour for each test sample based on the minimum Euclidean distance:

For [3,3], the closest neighbour is [1,1] with a distance of 2.83.

For [9,1], the closest neighbour is [7,2] with a distance of 2.24.

Retrieve the corresponding labels of the closest neighbours from the training data:

For [3,3], the closest neighbour has a label of 0.

For [9,1], the closest neighbour has a label of 3.

Assign the labels to Y_test:

For [3,3], Y_test = 0.

For [9,1], Y_test = 3.

Therefore, the Y_test values for the given test data are [0, 3].

Learn more about  algorithm: brainly.com/question/24953880

#SPJ11

Answer:

Rate = 56 gal / 7 min

         = 8 gal / min

Step-by-step explanation:

Hope this helps leave a heart ad maybe brailiest

The volume of the solid generated when the right triangle below is rotated about side is 564.2.

The volume will be calculated by using the formula:

= 1/3πr²h

where, r = 7

h = 11

Therefore, the volume will be:

= 1/3πr²h

= 1/3 × 3.14 × 7² × 11

= 564.2

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

To know more about Derivatives visit.

https://brainly.com/question/25324584

#SPJ11

By forming and solving equations, we know that the speed of the runner is 4 miles per hour.

So, we need to form an equation to get the speed of the runner:

'x' is the speed of the runner. Now, solve for x as follows:

Therefore, by forming and solving equations, we know that the speed of the runner is 4 miles per hour.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

The initial amount is 1250, rate is 13.5% and value of the function for t = 3 is 809

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

Given that, an exponential function with rate of decay, h(t) = \(1250(0.865)^t\)

Here we need to identify the initial amount, rate and the value of function when t = 3

The general formula of exponential decay is given by,

A = P(1-r)ⁿ

Where A is final amount

P is initial amount

r = rate of decay

n = years or time

Comparing with general formula,

P = 1250

1-r = 0.865

r = 1-0.865

r = 0.135

r % = 13.5

h(3) = 1250(0.865)³

= 809

Hence, the initial amount is 1250, rate is 13.5% and value of the function for t = 3 is 809

Learn more about exponential decay, click;

https://brainly.com/question/2193799

#SPJ1

Answer:

x^2    y^2

Step-by-step explanation:

i took the test

always read the comments

Answer: a. x2y2

Step-by-step explanation:

There is only 1 way for Jackson to deliver the plants

First, determine the number of plants that Jackson should deliver to each gift shop and nursery. To do this, divide the total number of plants by the number of gift shops and nurseries. That is:

32 / 8 = 4 plants per shop or nursery.

Next,  determine the number of ways Jackson can deliver the plants. Since he wants to deliver the same number of plants to each shop or nursery, he has only one way to deliver the plants to each shop or nursery. Therefore, the total number of ways Jackson can deliver the plants is 1 x 1 x 1 x 1 = 1.

Here is a table showing the number of plants and the number of ways Jackson can deliver them to each gift shop and nursery:

Gift Shop/Nursery Number of Plants Number of Ways

Gift Shop 1                  4                             1

Gift Shop 2                  4                             1

Gift Shop 3                  4                             1

Gift Shop 4                  4                             1

Nursery 1                     4                             1

Nursery 2                    4                             1

Nursery 3                    4                             1

Nursery 4                    4                             1

Learn more about logic table on:

https://brainly.com/question/14458200

#SPJ1

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

The volume of the first equals:

Volume = Length x Width x Height

While the volume of the cube is:

\(Volume = a^{3}\) where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

\(Volume= (20)(5)(10)=1000\) cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

\(1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a\)

Thus the length of an edge of the cube is 10 centimeters

Answer:

Below

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

for the green triangle

base = 25 cm     height = 4 cm

area = 1/2 base * height

        = 1/2 (25)(4) = 50 cm^2

We will first convert the numbers to be operated on to fractions.

Performing subtraction operation gives:

Answer:

this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.

Step-by-step explanation:

?/389 = 18/100

389 x 18 = 7002

100/7002 = 70.02

389 - 70.02 = 318.98

Answer:

\( f(x) = 72 - 12x \)

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \( \frac{72}{6} = 12 mm \)

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

\( f(x) = 72 - 12x \)

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

Answer:

48

Step-by-step explanation:

multiply 12 x 4

Answer:

12,455 + x = 23,894

x = 11,439

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

12,455 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

12,455 + x = 23,894

-12,455        -12,455

x = 11,439

So, the second month's salary was $11,439

Hope this helps :)

Answer:

Call x is the second month, So we have the following equation

$12,455 + x = $23,894 = > x =$23,894 - $12,455 = $11,439

Step-by-step explanation:

As the given condition in the question for the number of  right angles to be the minimum, the correct answer would be 'zero'.

A right angles are the type of angles whose measure is equal to 90 degrees. Every 90 degree angle is simply named as right angle since they have some significant role in geometry.

Some of the types of angles in mathematics are:

The minimum number of right angles there can be in a shape actually depends on a shape, considering all the shapes to define the minimum, there can be a condition where there are no right angles. For example, in a straight line.(180 degrees)

To learn more about right angles visit:

https://brainly.com/question/7116550

#SPJ4

Answer:

4.5

Step-by-step explanation:

Answer:

A unit is a measure of ratio between two quantities. In this instance, the unit is a pound. The ratio you need to take is the price of each fruit and divide it by the number of pounds each fruit has to get a price per pound. See below for solution.

Step-by-step explanation:

A. 4.19 dollars / 2.5 pounds = 1.676 dollars / pound

B. 5.49 dollars / 4 pounds = 1.3725 dollars / pound

C. 6.99 dollars / 5 pounds = 1.398 dollars / pound

D. 9.59 dollars / 6.5 pounds = 1.475 dollars / pound

The lowest is B, the apples.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

False. The null hypothesis does not inherently represent a presumed default state of nature but rather serves as a reference point for hypothesis testing.

The null hypothesis does not necessarily correspond to a presumed default state of nature. In hypothesis testing, the null hypothesis represents the assumption of no effect, no difference, or no relationship between variables. It is often formulated to reflect the status quo or a commonly accepted belief.

The alternative hypothesis, on the other hand, represents the researcher's claim or the possibility of an effect, difference, or relationship between variables. The null hypothesis is tested against the alternative hypothesis to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

Learn more about  null hypothesis : brainly.com/question/30821298

#SPJ11

Answer:

1+1=2

Step-by-step explanation:

Yess!!!! I have solved this biggest problem....lol

Answer: 2

Step-by-step explanation: if I were to draw 1 circle then add another circle. Then I would count the circles and get 2.

Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

Step-by-step explanation:

Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.

Really hope I did an okay job at explaining.

Answer:

B on edge

Step-by-step explanation:

Passed the test

Given data:

The diameter of the cut sphere, D=14 in.

The radius of the cut sphere is,

The cut sphere is called a hemisphere.

The surface area of a sphere is

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

Therefore, the total area of the hemisphere is,

The total surface area of a hemisphere is,

Therefore, the total surface area of the cut sphere is 461.8 square inches.