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2 years ago

Subtract: write each in simplest form. 1/2-1/4=

Mathematics

1 answer:

Zepler [3.9K]2 years ago

3 0

1/2-1/4

Find its LCM which would be 4

So change the 1/2 to 2/4 and keep 1/4 the same since we already have the denominator we need so

2/4-1/4 = 1/4

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The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa

Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

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2 years ago

An employee worked 160.5 hours in May, 160.4 hours in May, 165.75 hours in June and 152.25 hours in July.

Fudgin [204]

486.65 is the answer to the question

3 0

3 years ago

19. In the triangle ABC, the side lengths are BC = 14 and AC = 7. What's the angle measurement of B?

mr Goodwill [35]

Answer:

Is not possible to compute the angle under those conditions.

Step-by-step explanation:

You need more information, I will be more specific, there is a book called "Geometry" by Moise Downs where the following theorem is stated on the chapter 7.

Let ΔABC and ΔDEF be two triangles where AB = DE and AC = DF if

∠A > ∠D then BC > EF, which in simple terms means that, if two sides are equal, the angle between them can vary as much as you want and that will directly imply the size of the third size of your triangle.

Therefore, there is information missing in order to solve the question

8 0

3 years ago

To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is

vladimir1956 [14]

Answer:

16 sq. units

Step-by-step explanation:

<u>The formula for the area of a triangle:</u>

A = 1/2bh

<u>If base and height are known as:</u>

b = 8 units and h = 4 units

A = 1/2*8*4 = 16 sq. units

4 0

3 years ago

A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land

Arada [10]

Answer:

Step 1: The null and alternative hypothesis for the one way analysis of variance is,

H₀ : There is no difference in the means of each area.

H₁ : At least one mean is different.

The objective of this question is to test whether the income of the three areas are significantly different.

Step 2: The problem states to use 0.05 significance level.

Step 3: The test statistic follows the F-distribution.

Step 4: Decision rule is based on the critical value.

Numerator degrees of freedom is,

K - 1 = 3 - 1

= 2

Denominator degrees of freedom is 2.

n - k = 12 - 3

= 9

Using the F-distribution table for ∝=0.05 with numerator and denominator degrees freedom, the critical value is 4.26. The decision rule is to reject H₀ if the computed value of F exceeds 4.26.

Step 5: Calculations.

Using Excel follow the steps mentioned below.

1. Import or type the data into spreadsheet.

2. Data--------> Data Analysis----------> Anova: Single Factor, click OK.

3. Select Input Range, make a tick mark on Labels in the first row, enter 0.05 for alfa.

4. Click OK.

The obtained output for the one-way ANOVA is,

[ find the figure in attachment]

From the obtained output, the computed test statistic value, F = 14.18 , which is greater than the critical value of 4.26. So, reject H₀

Step 6: Interpretation. The average income of each area is different. It can be concluded that the average income is significantly different .

4 0

3 years ago