Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,
determine the numerical length of TV.

Answer:

26

Step-by-step explanation:

The mean of a set of number is the average the set of number, it is the ratio of the total sum of the terms to the sum of terms.

The standard deviation is the variation of a set of numbers to their mean. A low standard deviation means the value are close to the mean and a high standard deviation means the values are far from the mean. The standard deviation is given as:

[tex]\sigma=\sqrt{\frac{\Sigma (x_i-\mu)^2}{n} }\\ \\\mu=mean,n=number\ of\ terms, \sigma=standard\ deviation[/tex]

Given the numbers:

86, 81, 87, 82. mean = μ = 84

[tex]\Sigma(x_i-\mu)^2=(86-84)^2+(81-84)^2+(87-84)^2+(82-84)^2=4+9+9+4=26[/tex]

Sum of squared deviations = 26

The sum of the squared deviations of the scores from the mean is 26.

-----------------------

Thus:

[tex]S_{ds} = (86-84)^2 + (81-84)^2 + (87-84)^2 + (82-84)^2 = 4 + 9 + 9 + 4 = 26[/tex]

The sum of the squared deviations of the scores from the mean is 26.

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Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx +  b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = [tex]\sqrt{9}[/tex] = 3

b² = 1 ⇒ b = [tex]\sqrt{1}[/tex] = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

Answer:

(3x + 1)^2

Step-by-step explanation:

The first and last terms are perfect squares. From its structure, this is a perfect square trinomial.

All of the symbols in the expression 9x2 + 6x + 1 are positive, so use the rule for the square of the sum of two terms.

In the given expression, a2 = 9x2 and b2 = 1, so a = 3x and b = 1.

2ab = 2(3x)

       = 6x

This result matches the middle term in the polynomial expression, 6x, so apply the rule for the square of the sum of two terms.

The expression 9x2 + 6x + 1 is equal to (3x + 1)2.

Answer:

1.c 1875cm squared.

Step-by-step explanation:

if the area of the park is the area if pool 3 times ... which is 625

so 625×3

=1875cm squared

Answer:

B, C, B

Step-by-step explanation:

24

area of A'B'C'D' = 3 × ABCD = 3 × 625 = 1875 m²

Thus area of park = 1875 - 625 = 1250 m² → B

25

A tangent has only one point of contact with the circle. Thus does not pass through the centre.

26

The inscribed angle subtended by a semi- circle is 90° not 180°

Answer:

To make equivalent fractions, what we have to do is multiplicate or divide the numerator or denominator by the same number.

In our case:

[tex]\frac{2}{5}=\frac{2*2}{5*2}=\frac{4}{10}[/tex]

[tex]\frac{2}{5}=\frac{2*6}{5*6}=\frac{12}{30}[/tex]

[tex]\frac{2}{5} = \frac{2*12}{5*12}=\frac{24}{60}[/tex]

That are only three examples, but there are infinite.

We could also obtain equivalent fractions dividing, for example, [tex]\frac{3}{9}[/tex]:

[tex]\frac{3}{9}=\frac{\frac{3}{3}}{\frac{9}{3}}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

3.2 x 10^12

Step-by-step explanation:

80000000/40000

Answer:

Answer:

3.2 x 10^12

Step-by-step explanation:

80000000/40000

Answer:

8 Feet below the surface

Step-by-step explanation:

If the salmon were initially 5 feet below the surface, and then travelled down an additional 3 feet from the initial 5, then the new position would be 8 feet down relative to the surface.

You can write this as -5 + -3 = -8, assuming that 0 represents surface level.

Cheers.

The distance of salmon from the surface of the water is 8 feet.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The distance of school of salmon for the surface of the river = 5 feet.

Since, to escape a hungry bear, the school of salmon went down to 3 feet.

The position of the salmon to the surface = 5 + 3 = 8 feet.

The required distance of school of salmon from the surface of water is 8 feet.

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Answer:

more than

Step-by-step explanation:

Answer:

B.  -12.4 + 20.6s.

Step-by-step explanation:

Perimeter = 2*length + 2 * width

= 2(3.1s - 1.6) + 2(7.2s - 4.6)

= 6.2s + 14.4s - 3.2 - 9.2

= 20.6s - 12.4

= -12.4 + 20.6s.

[tex]\boxed{-12+20.6s}[/tex]

To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.

2(3.1s - 1.6) + 2(7.2s - 4.6)

This is equal to:

6.2s + 14.4s - 3.2 - 9.2

Simplified, this is equal to:

20.6s - 12.4

(We have to switch it around, but this answer is equal to option b.)

-12.4 + 20.6s

Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)

Answer: -17

Step-by-step explanation:

Answer:

yes, it equals 44

Step-by-step explanation:

16-(-)24+4=44

Answer:

it is 44

Step-by-step explanation:

2 minus's right by each other turn into a plus sign.

Answer:

x = -12

Step-by-step explanation:

−10x + 1 + 7x = 37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x +1-1 = 37-1

-3x = 36

Divide each side by -3

-3x/-3 = 36/-3

x = -12

Answer:

x = -12

Step-by-step explanation:

[tex]-10x+1+7x=37\\\\\mathrm{Group\:like\:terms}\\-10x+7x+1=37\\\\\mathrm{Add\:similar\:elements:}\:-10x+7x=-3x\\-3x+1=37\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\-3x+1-1=37-1\\\\Simplify\\-3x=36\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{36}{-3}\\\\x =-12[/tex]

Based on the graph given, the point of the graph that corresponds with the shop's net worth when Sophie opened it is -5.

What is the minimum of a quadratic function?

The minimum value of the function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of the quadratic function to determine the minimum cost and area.

What is the minimum amount?

we use minimum to describe an amount which is the smallest that is possible, allowed, and required.

What was the shop worth when it was opened?

The point of the shop were opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Sophie.

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Answer:

18.00 because 1 pound is 5.00, 1 plus 2 is 3 so 5 x 3 = 18

Step-by-step explanation:

6 pounds of a trail mix contains 2 more pounds of raisin than almonds

i.e.

Suppose:

6 pounds of trails will contain a pound of almond (a) and two more pounds of raisin i.e. (a +2)

∴

a + (a+2) = 6

2a + 2 = 6

2a = 6 -2

2a = 4

a = 2

It implies that there are:

= (a +2) pounds of raisins

= (2+2) pounds of raisins

= 4 pounds of rasins

Provided that:

∴

The total cost of the 6 pounds of trails mix will be:

= 2($4.00) + 2($5.00)

= $8.00 +$10.00

= $18.00

Therefore, we can conclude that the total cost of 6 pounds of trail mix is $18.00

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Answer:

Mean: 14.67

Mode: 15

Median: 15

Symmetric: Idk

Answer:

Median P.S. The median is 15

Step-by-step explanation:

It is a median because you cross out the highest and lowest numbers out at a time.

Answer:

Diagram B

Step-by-step explanation:

This is because the line only goes through two points and many are dispered from the line, however diagram A and C have points fairly close to them

Visually inspecting the three scatterplots, the line of best fit does not accurately fit the points on the second graph. Hence, line of best fit should not have been drawn for the second graph as the relationship isn't linear.

The line of best fit minimizes the sum of the square of the mean distance between each point. Hence, the distance between the line and the best fit line should be as small as possible.

However, the second graph isn't linear, hence , a linear line cannot model the relationship.

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Answer:

1,350,001 shares

Step-by-step explanation:

Barnaby corporation issued 2,700,00 shares of stock to its respective shareholders

A shareholder is required to own more than half of the share of the stock of a corporation inorder to have most of it.

This implies that the shareholder must have 50% + 1 inorder to attain the majority shares

Therefore, the number of shares that must by owned by a shareholder to have majority of the shares can be calculated as follows

= 50/100 × 2,700,000

= 0.5×2,700,000

= 1,350,000+1

= 1,350,001 shares

Answer:

[tex]\huge\boxed{B. \ sin \theta = \frac{\sqrt{35} }{6} }[/tex]

Step-by-step explanation:

We'll use the following Pythagorean Identity:

[tex]cos ^ 2 \theta + sin^2 \theta = 1[/tex]

Finding sin θ , we'll rearrange the formula as:

[tex]sin \theta = \sqrt{1 - cos^2 \theta}[/tex]

Given that cos θ = - 1 / 6

[tex]sin \theta = \sqrt{1 - (-\frac{1}{6} )^2} \\sin \theta = \sqrt{1-\frac{1}{36} } \\sin \theta = \sqrt{\frac{36-1}{36} } \\sin \theta = \sqrt{\frac{35}{36} } \\sin \theta = \frac{\sqrt{35} }{\sqrt{36} }\\ sin \theta = \frac{\sqrt{35} }{6}[/tex]

Answer:

0

Step-by-step explanation:

-3d + 8d - 5d

Combine like terms

5d -5d

0

Answer:

[tex]\Huge \boxed{0}[/tex]

Step-by-step explanation:

[tex]-3d + 8d - 5d[/tex]

Combining like terms:

[tex]\Rightarrow 5d- 5d[/tex]

[tex]\Rightarrow 0[/tex]

Answer:

B) Domain: -2≤x≤2   Range: -2≤x≤3

Step-by-step explanation:

The domain is the x-values, in this case all the numbers between -2 and 2.  The range is the y-values, which are the numbers between -2 and 3.  So the answer is

B) Domain: -2≤x≤2

Range: -2≤x≤3

Answer:

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

Answer:

[tex]375001[/tex] police officers

Step-by-step explanation:

[tex]\frac{30,000}{25,000} = \frac{30}{25} = \frac{120}{100} = 1.2[/tex]

That's a 20% increase.

So increase the police by 20% gets you:

[tex]312500 * 1.2 = 375000[/tex]

Based on the wording of the question, if you want a greater percentage, the answer should be a single policeman more, thus 375,001.

Answer:

-26

Step-by-step explanation:

Given the sequence:

16, 9, 2, –5, ...,

To find:

7th measurement, if the above sequence continues:

Solution:

Let us examine the given sequence first:

First term is 16

Second term = 9

Third term = 2

Fourth term = -5

Difference between 2nd and 1st term = 9 - 16 = -7

Difference between 3rd and 2nd term = 2 - 9 = -7

Difference between 4th and 3rd term = -5 - 2 = -7

We can see that there is a common difference of -7 between each term.

That means, the sequence is in Arithmetic Progression.

whose first term, [tex]a=16[/tex]

Common difference, [tex]d=-7[/tex]

To find:

7th term i.e. [tex]a_7=?[/tex]

Solution:

Formula for [tex]nth[/tex] term of an Arithmetic Progression is given as:

[tex]a_n=a+(n-1)d[/tex]

Let us put [tex]n=7[/tex]

[tex]a_7=16+(7-1)\times (-7)\\\Rightarrow a_7=16+6\times (-7)\\\Rightarrow a_7=16-42\\\Rightarrow \bold{a_7=-26}[/tex]

7th measurement will be -26.

Answer:

7th measurement= -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

Answer:

5 I think I'm pretty sure

Answer:

The number must be between 80 and 83.666002653408

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.666002653408 so it would be between those numbers.

Answer:

When a number can be divided up exactly and is not a prime number , it is a Composite Number.

The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16,........

Hope it helps.

Answer:

See below.

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{125a^2b^2}[/tex]

This is the same as:

[tex]=\sqrt{(5ab)^2\cdot5}[/tex]

Expand:

[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]

The left term cancels:

[tex]=5|ab|\sqrt5[/tex]

Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)

Answer:

there is  google!

Step-by-step explanation:

Answer:

1. 17.75 per ticket

2. 1.64 per card

3. 0.08 per sticker

4. 0.07 per apple

5. 1.25 per muffin

6. 0.65 per lolipop

7. 1.55 per battery

8. 0.80 per pencils

9. 12.40 per book

10. 1.19 per stamp

11. 0.60 per egg

12. 0.57 per candy bar

Step-by-step explanation:

price divided by ammount

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=y=\sqrt[3]{x-2}+8[/tex]

To find the inverse of the function, we can flip x and y and then solve for y. Therefore:

[tex]x=\sqrt[3]{y-2}+8[/tex]

Solve for y to find our inverse.

Subtract 8 from both sides:

[tex]x-8=\sqrt[3]{y-2}[/tex]

Cube each side. The right cancels:

[tex](x-8)^3=y-2[/tex]

Add 2 to both sides:

[tex]y=(x-8)^3+2[/tex]

Therefore, our inverse is:

[tex]f^{-1}(x)=(x-8)^3+2[/tex]

The answer is A

So far, segment CD is the same length as AB. So we can say AB = CD.

Let's keep going

Segment CE is composed of CD and DE, both of which are equal to AB. In other words, AB = CD = DE. Because CD = DE, and the two segments add up to CE, this must mean that CE is twice as long as CD. Therefore, CE is twice as long as AB.

See the diagram below for a visual summary.