The perimeter of PRST is 10 more than 5(RS). If PR=26, find RS.

Answer:

The amount of soda that is left in the bottle when Taylor get it is 1/6 = 6 oz of soda.

Step-by-step explanation:

Let the total quantity of soda left in the bottle be represented by 1

Total quantity of the bottle = Fraction of what( Margaret + Jamie + Taylor) drank

Margaret drank = 1/6 of the soda

= 1 - 1/6

= 5/6 of soda is left

Jamie drank = 2/3 of what is left

= 5/6 - 2/3

LCM of denominators = 6

= 5 - 4/6

= 1/6

Hence, what is left is 1/6 of the soda.

The size of the soda = 36 oz

1/6 × 36oz

= 6 oz

This means the amount of soda that is left in the bottle when Taylor get it is 6 oz of soda.

Answer:

jdufzfdghfufuf I am girl Ibvggu u I am girl this is my first time doing this is my first time doing this is my first time doing this

Answer:

b I think.

Step-by-step explanation:

I chose the answer b because it goes up 65 feet per minute.

Answer:

a) -0.4

b) 2.5

c) 0.125

d) 1.5

Step-by-step explanation:

Answer:

B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]

x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]

Solve for x.

x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]

x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]

The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Answer:not enough information

Step-by-step explanation:

Using definition of range = greatest - lowest , we found that given statement is false.

Range of a data is the difference between the highest and lowest quantity in the given  data.

For example : Given data is 2,5,9,5,1

Range of this data = Highest - Lowest = 9-1 =8

Given the data of the number of appearances made by 7models

Median = 5

Range = 5

If the fewest magazine appearances is 3

We know that Range = Greatest number of appearances - fewest appearances

⇒ 5 =  Greatest number of appearances - 3

⇒ 5 +3 = Greatest number of appearances

∴Greatest number of appearances = 5+3 = 8

But given is that the Greatest number of appearances will be 9 in the given statement.

∴ The given statement is false.

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How can I compare linear relationships?

We have measured simple relationships between the size of different species and their weight (biomass). They are linear regressions (sometimes semilog). The type of question I would like to answer is, for example, if I have 4 species of snail, each with a separate linear equation representing the relationship between size and biomass, are those relationships significantly different, or does one relationship suffice for all my snail species?

I'm not sure how to do this comparison. Each species often has different sample sizes. I thought about just doing the separate relationships, then pooling all samples and comparing the resulting slope to the species-wise relationships with t tests. However I'm worried that species with more samples will bias the results. I could randomly remove samples from those species to equalize them. Another alternative might be to do an ancova with species put in as a dummy variable and look for interactions with species as a test of parallelism. Does that seem reasonable? It seems like a good idea to me because it will also be a test of whether the intercepts are the same.

The approach using a dummy variable and looking for interaction terms will work. It only works for comparing models of the same type (transformed or not). The pooling idea is the start of trying randomization tests (or computer intensive methods in general), but it will not work well if used in the way that you suggest.

The randomization test starts by treating the data as if the null hypothesis was true. One then calculates the probability of withdrawing two samples from your data that have a difference that is equal to or greater than the observed difference. So you resample the data, calculate differences, order these differences, and see how many are equal to or larger than the observed difference. Divide that by the total number of randomizations, and you have your answer.

Answer: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

Mia can buys 12.4 songs.

Step-by-step explanation:

25 - 9.50 = 15.50

15.50 : 1.25 = 12.4

Answer:

7 2/4 or 7 1/2

Step-by-step explanation: You can add the 3 3/4 to 3 3/4 or mutlipy 3 3/4 by 2 because you need to find the number of 2 batches.

Answer:

no solutions

Step-by-step explanation:

½(10x - 18) - 13x = -2x + 7 - 6x

Distribute

5x -9 -13x = -2x +7 -6x

Combine like terms

-8x -9 = -8x+7

Add 8x to each side

-8x -9 +8x = -8x+7+9x

-9 = 7

This is never true so there are no solutions

Answer:

b

Step-by-step explanation:

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

Answer:

less mass

Step-by-step explanation:

The product has less mass because some of its mass got burned. Hope this helps!

some parts of the rope turned into gasses because of the intense heat (fire)

Answer:

13

Step-by-step explanation: 325/25=13

The hourly working rate of Rosita is equal to $325.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rosita earned $325 for working 25 hours last week. The hourly rate will be calculated as,

To calculate the hourly rate divide the total earnings by the working hours.

Rate = 325 / 25

Rate = $13

The rate is $13 per hour.

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Answer: 40

Step-by-step explanation:50/1.25

0.5x - 0.75 _> 3.25

Add 0.75 to both sides:

0.5x _> 4

Divide both sides by 0.5:

x _> 4/0.5

x_> 8

The answer is d.

Answer:

it's not important.........

Answer:

296

Step-by-step explanation:

Answer:

1. plane parallel- ABC

2. segment parallel- DA

3. segment parallel- DE

4. segmney skew- FC

The required answers are,

1. A plane parallel to plane DEF is ABC.

2. A segment parallel to FC is AD.

3. A segment parallel to AB is DE.

4. A segment skew to DE is FC.

A segment is a set of points consisting of two points of the line called the endpoints, and all of the points of the line between the endpoints.

In mathematics, a plane is a flat, two-dimensional surface that extends indefinitely.

Now from the given figure following information can be extracted-

Plane of DEF is parallel to plane ABC,

Segment FC is parallel to segment AD,

Segment AB is parallel to segment DE,

Segment DE is skew to segment FC.

Thus, the required answers are,

1. A plane parallel to plane DEF is ABC.

2. A segment parallel to FC is AD.

3. A segment parallel to AB is DE.

4. A segment skew to DE is FC.

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Answer:

(0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)

Step-by-step explanation:

Answer:

The slope is still -3x. (-3)

Step-by-step explanation:

If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+4)=70

Step 1: Simplify both sides of the equation.

−5(x+4)=70

(−5)(x)+(−5)(4)=70(Distribute)

−5x+−20=70

−5x−20=70

Step 2: Add 20 to both sides.

−5x−20+20=70+20

−5x=90

Step 3: Divide both sides by -5.

−5x

−5

=

90

−5

x=−18

Answer:

x=-18

Step-by-step explanation:

-5(x+4)=70

x+4=-14

x=-14-4

x=-18

Answer:

the degree of f(x) is 3

Step-by-step explanation:

fundamental theorem of algebra

The degree of function f(x) is at least 3.

The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.

And as we know if the degree of the function is n then the number of roots of the function is n.

So, if the function has n intercepts, then the function has at least n degrees.

Here given that the polynomial function f(x) has 3 intercepts.

Then from above, it is clear that the function will have at least 3 roots.

And the function will have at least 3 degrees.

Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.

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Answer:

5,8

Step-by-step explanation:

A point (-5,8) rotated around the origin 270 degrees counterclockwise will have coordinates (-8, -5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know when we rotate a point counter-clockwise the coordinates (x, y) becomes (-y, x).

Given, A point (-5,8) around the origin 270 degrees counterclockwise.

∴ The new coordinates of the points will be (-8, -5).

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Answer:

kinda hard to understand :)

Step-by-step explanation:

Answer:

61,56

Step-by-step explanation:

1 = 3,24 so 3,24 x 19 = 61,56

Answer:

[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]

Step-by-step explanation:

Please refer to the diagram below.

We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:

[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]

We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:

[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]

Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:

[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]

Multiply both sides by 10. So, dx/dθ is:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]

We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]

Evaluate:

[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]

So, x is changing with respect to θ at a rate of 5 feet per radian.

Answer:

J(4,0)

K(4,-2)

L(0,-2)

Step-by-step explanation:

4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.

3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.

if it is unclear or you need more explanation, ask freely.

Answer:

a) 18

b) 18 : 12

c)3  : 4

Step-by-step explanation:

a) 30 × [tex]\frac {60}{100}[/tex]

= 18 students walk to school

b)             No. of students                                       No. of students

            who walk to school               :                 who walk to school

                        18                               :                                 12

c)

18 : 12

=18/6 : 12/3

=3  : 4