what is the length of segment QV ?, NO LINKS.

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

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Answer:

f(k + 4) = -2k² - 13k - 28

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -2x² + 3x - 8

Step 2: Evaluate

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, [tex]\mu=8.04 g[/tex]

Standard deviation, [tex]\sigma=0.08g[/tex]

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]

[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]

=0.03

From z- table we get

[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]

Therefore, we get

[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]

[tex]x_1-8.04=-1.88\times 0.08[/tex]

[tex]x_1=-1.88\times 0.08+8.04[/tex]

[tex]x_1=7.8896[/tex]

[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]

[tex]x_2=1.88\times 0.08+8.04[/tex]

[tex]x_2=8.1904[/tex]

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Answer:

(-1,-1)

Step-by-step explanation:

If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).

Answer:

B

Step-by-step explanation:

A central angle of 1 radian occurs when the arc length is equal to the radius.

Here the radius is 2.5 in and the arc length is 2 in

Thus the statement is False

Answer:

The first choice.

Step-by-step explanation:

3(x + 2) is equal to 3 * x + 3 * 2.

Simplify that, and you would get 3x + 6.

Answer:

A. or 3(x+2) = 3x + 6

Step-by-step explanation:

A. 3(x+2) = 3(x) + 3(2)

               = 3x + 6

Which is correct!.

B. x^2 is nowhere to be found.

C. Doesn't distribute the 3 into the 2 properly.

D.  Doesn't distribute the -3 into the x properly.

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]

Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

Answer:

3x

Step-by-step explanation:

We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,

[tex]\implies Numbers = 3x \ and \ 6x [/tex]

Let's factorise the numbers , we get .

[tex]\implies 3x = 3 \times x [/tex]

[tex]\implies 6x = 3\times 2 \times x [/tex]

The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .

[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]

Answer:

Step-by-step explanation:

sum of exterior angles of a polygon=360°

x+38+45+5x+72=360

6x=360-155=205

x=205/6=34 1/6

second question

x+3x+4x+5x+7x=360

20x=360

x=360/20=18

x=18

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

Answer:

100 cm so .............qsuw

Answer:

a=60 b=60 c=120 is the answer

Answer:

p99 = 16.4 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.

This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]

Find p99.

This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]

[tex]X - 14.3 = 0.9*2.327[/tex]

[tex]X = 16.4[/tex]

So

p99 = 16.4 inches

Answer:

4 is the answer to this question

Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

[tex]\Rightarrow V-E+F=2[/tex]

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

Answer:

144[tex]\pi[/tex]

Step-by-step explanation:

Volume of a Sphere :

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]

V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)

V  = 288[tex]\pi[/tex]

Now divide by 2, it's only half of a sphere.

Answer:

Step-by-step explanation:

To solve this, we can use polynomial long division.

Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.

Answer:

Vertical line test is used to identify that the given graph is function or not

In this a vertical line is drawn at any part of the graph

If it cuts only one line then it is a function and it cuts more than one line then it is not a function

Answer:

The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Step-by-step explanation:

Answer:

See step by Step

Step-by-step explanation:

Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.

Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.

Spencer's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]

[tex]10x - 2 = 2[/tex]

[tex]10x = 2 + 2[/tex]

[tex]10x = 4[/tex]

[tex]x = \frac{4}{10} [/tex]

[tex]x = 0.4[/tex]

Jeremiah's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]

[tex] - 2 = - 10x + 2[/tex]

[tex] - 2 - 2 = - 10x[/tex]

[tex] - 4 = - 10x[/tex]

[tex] \frac{ - 4}{ - 10} = x[/tex]

[tex]0.4 = x[/tex]

As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.

Answer:

Step-by-step explanation:

so they used  a total of  560  units

we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula

0.1(x-360+54)

0.1(560-360) + 54 = monthly bill

20+54 = monthly bill

74 = monthly bill

answer D looks good

Answer:

27.3

Step-by-step explanation:

The base of the triangle is,

√(12²-5²)

= √119 = 10.9

The area of the triangle,

5×10.9/2

= 109/4 = 27.25 ≈ 27.3

Answered by GAUTHMATH

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

Answer:

117,000

Step-by-step explanation:

45% of 260,000

= 9/20 of 260000

= 260000/20 =13000

= 13000*9

= 117,000

So the amount of people who are not alive is 117000

The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.

The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.

The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.

According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:

= 315/100,000.

So, the expected number of deaths in the year is

E(X) = 260,000 x 315/100,000

E(X) = 2.6 x 315

E(X) = 819.

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Answer:

x = 6

HI = 29

Step-by-step explanation:

✔️HI = ½(AB) => Triangle Mid-segment Theorem

HI = 5x - 1

AB = 58

Plug in the values and solve for x

5x - 1 = ½(58)

5x - 1 = 29

Add 1 to both sides

5x - 1 + 1 = 29 + 1

5x = 30

Divide both sides by 5

5x/5 = 30/5

x = 6

✔️HI = 5x - 1

Plug in the value of x

HI = 5(6) - 1

HI = 30 - 1

HI = 29

Answer:

719.24 is the correct answer

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.

Answer:

30 seconds

Step-by-step explanation:

→ Work out how many floors it's going to travel

15 - 3 = 12 floors

→ Work out how many meters 12 floors is

12 × 5 = 60 meters

→ Work out how long that will take

60 ÷ 2 = 30 seconds

Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

cos²90° + sin²90°

= (0)² + (1)²

= 0 + 1

= 1