the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192

Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

Answer:

638.29

Step-by-step explanation:

This is the answer because 29 percent of 899 is somewhere around 260.71

Substract that and you get 638.29

The required steps are explained below to convert the quadratic function into a perfect square.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]

Add and subtract the half of the square the coefficient of x,

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]

Then we have

[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]

These are the required step to get the perfect square of the quadratic function.

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Answer:

12 inches.

Step-by-step explanation:

You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.

Answer:12 in

Step-by-step explanation:

Answer:

5.51

Step-by-step explanation:

i used a calculator.

Answer:

-5

Step-by-step explanation:

9+6-2*10

15-20

= -5

Answer:

you did not even show the answer

Step-by-step explanation:

you have to post it lol;)

Wrong answer sorry. Hope you find it!

There are seven "0"s between the decimal point and the digit "6".

======================================================

Explanation:

The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.

The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651

In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651

Then we move it another seven spots to the left to arrive at 0.0000000651

This is why there are seven "0"s between the decimal point and the digit "6".

The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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The rate of change of the linear function whose graph passes through points (-5, -2) and (-2, 6) is: 2.7.

The rate of change of a linear function is given as change in y over change in x.

Given the points:

(-5, -2) and (-2, 6)

Change in y = 6 -(-2) = 8 units

Change in x = -2 -(-5) = 3 units

Rate of change = 8/3 = 2.7.

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Answer:

Step-by-step explanation:

One

If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10

So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.

The the given number is a fraction the rule is Add a minus sign

Answer: 1/1000 = 1 * 10^-3

Two

10 is 10^1 in scientific notation

1/10 = 10^-1

Answer: 1/10

Answer:

D. 60 ft²

Step-by-step explanation:

Area formula :

Solving :

Answer:

D. 60 ft2

Step-by-step explanation:

Area of a parrelleogram:

bxh

base x hieght

The base is 10ft, the height is 6 ft

(it cannot be 8ft because that line is slanted)

10x6=60ft2

Answer:

Step-by-step explanation:

Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).

Answer:

g(1) > f(1)

Step-by-step explanation:

Based on the graph :

The statement is :

Answer:

Make use of the fact that as long as [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex]:

[tex]\displaystyle \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex].

[tex]\displaystyle \csc(\theta) = \frac{1}{\sin(\theta)}[/tex].

[tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex].

Step-by-step explanation:

Assume that [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex].

Make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] and [tex]\csc(\theta) = (1) / (\sin(\theta))[/tex] to rewrite the given expression as a combination of [tex]\sin(\theta)[/tex] and [tex]\cos(\theta)[/tex].

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \left(\frac{1}{\sin(\theta)}\right)^{2} \, \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} - 1 \\ =\; & \frac{\sin^{2}(\theta)}{\sin^{2}(\theta)\, \cos^{2}(\theta)} - 1\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1\end{aligned}[/tex].

Since [tex]\cos(\theta) \ne 0[/tex]:

[tex]\displaystyle 1 = \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)}[/tex].

Substitute this equality into the expression:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1 \\ =\; & \frac{1}{\cos^{2}(\theta)} - \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].

By the Pythagorean identity, [tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex]. Rearrange this identity to obtain:

[tex]\sin^{2}(\theta) = 1 - \cos^{2}(\theta)[/tex].

Substitute this equality into the expression:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].

Again, make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] to obtain the desired result:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\\ =\; & \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} \\ =\; & \tan^{2}(\theta)\end{aligned}[/tex].

Step-by-step explanation:

i just answered this.

the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.

in short

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit) - (interval lower limit)

upper limit = 0

lower limit = -2

the functional values (y) are 6 and 10 at these points.

so, we get

(6 - 10) / (0 - -2) = -4 / 2 = -2

Answer:

I think the answer is b ill look into it a Lil more

Explanation:

Expression: d = 16t² where d is distance. t is time.

1)

Here t = 2

d = 16(2)²

d = 64 feet

2)

h = 906-t²

h = 906 - 16(2)²

h = 842 feet

3)

expression of height: y = 906 - 16t²

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Answer:

$36.3 

Step-by-step explanation:

The total cost of the Green coffee beans is $7.25.

Total cost (TC) is the minimum cost of producing some quantity of output. This is the total economic cost of production and is made up of variable cost, which varies according to the quantity of a good produced and includes inputs such as labor and raw materials, plus fixed cost.

Here, Green coffee beans cost $0.58 for each ounce.

Amina and her mother buy 12.5 ounces of green coffee beans

Total cost = cost each ounce X Number of ounces

  TC = 12.5 X 0.58

  TC = $ 7.25

Thus, the total cost of the Green coffee beans is $7.25.

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Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

5x - 3 = 11 + 12x

---Subtract 5x from both sides

-3 = 11 + 7x

---Subtract 11 from both sides

-14 = 7x

---Divide both sides by 7 to leave x by itself

x = -2

Answer: x = -2

Answer Choice: A, -2

Hope this helps!

Answer:

A. The solution is x =-2.

Step-by-step explanation:

Given :

Subtract 11 from each side.

Subtract 5x from each side.

A. The solution is x =-2.

Answer:

Shade 10 of the pieces.

Step-by-step explanation:

Answer:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,

The team lead salary:

[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]

4x = 3600+ x+ 2400

3x = 6000

x = $2000

Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

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Answer:

Cos 0 = 15/17

Step-by-step explanation:

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

The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have total distance between from their old house to their new house:

d = 1003 miles

The car travel 23.6 miles per gallon

So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons

42.5 gallons fuel will be required to travel 1003 miles

For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.

So the total fuel needed including roundtrip = 42.5×2 = 85 gallons

Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.

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Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

The length Travis needs to cut = 114 inches

Percent of error = 10%

Let's assume he cuts x inches wide strip

So from the percent of error formula:

[tex]\rm \dfrac{x-114}{114} = \dfrac{10}{100}[/tex]

[tex]\rm x = \dfrac{114}{10}+114[/tex]

[tex]\rm x = \dfrac{1254}{10}\Rightarrow \dfrac {627}{5}[/tex]  or

[tex]\rm x = 125\dfrac{2}{5} \ inches[/tex]  

Thus, Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

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Answer:

it’s 1 3/8 I don’t know what dude it’s talking about

Step-by-step explanation: