I need help with this assignment

Answer:

The location of point T is [tex]\vec T = (7.5, 2.25)[/tex]. Graph is included at the end of the explanation as attachment.

Step-by-step explanation:

The SQ : QT ratio means that there are 4 units of SQ for each 3 units of QT. Vectorially speaking, we notice that:

[tex]\overrightarrow {SQ} = \frac{4}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 1)

[tex]\overrightarrow{QT} = \frac{3}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 2)

Now, we eliminate [tex]\overrightarrow{ST}[/tex] by equalizing (Eq. 1) and (Eq. 2):

[tex]\frac{7}{3} \cdot \overrightarrow{QT} = \frac{7}{4}\cdot \overrightarrow{SQ}[/tex] (Eq. 3)

From Linear Algebra, we know that:

[tex]\frac{7}{3}\cdot (\vec T - \vec Q) = \frac{7}{4}\cdot (\vec Q-\vec S)[/tex] (Eq. 3b)

And we clear [tex]\vec T[/tex]

[tex]\frac{7}{3}\cdot \vec T -\frac{7}{3}\cdot \vec Q = \frac{7}{4}\cdot \vec Q -\frac{7}{4}\cdot \vec S[/tex]

[tex]\frac{7}{3}\cdot \vec T = \frac{49}{12}\cdot \vec Q - \frac{7}{4}\cdot \vec S[/tex]

[tex]\vec T = \frac{3}{7}\cdot \left(\frac{49}{12}\cdot \vec Q-\frac{7}{4}\cdot \vec S\right)[/tex]

[tex]\vec T = \frac{7}{4}\cdot \vec Q-\frac{3}{4}\cdot \vec S[/tex]

If we know that [tex]Q(x,y) = (3, 0)[/tex] and [tex]S(x, y) = (-3,-3)[/tex], then we have that [tex]T(x,y)[/tex] is:

[tex]\vec T = \frac{7}{4}\cdot (3, 0) - \frac{3}{4}\cdot (-3, -3)[/tex]

[tex]\vec T = \left(\frac{21}{4}, 0 \right) + \left(\frac{9}{4},\frac{9}{4}\right)[/tex]

[tex]\vec T = \left(\frac{21+9}{4},\frac{0+9}{4} \right)[/tex]

[tex]\vec T = \left(\frac{15}{2}, \frac{9}{4}\right)[/tex]

[tex]\vec T = (7.5, 2.25)[/tex]

At last we plot the segment with all points described on statement. We can check the result in the attachment set below.

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

Explanation:

The point (-3,3) means x = -3 and y = 3 pair up together

So plugging in x = -3 should lead to y = 3 if (-3,3) was a solution

Plug x = -3 into y = -3x to find that

y = -3x

y = -3*(-3)

y = 9

So x = -3 and y = 9 should be the actual pair (not x = -3 and y = 3)

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

Put another way

y = -3x

3 = -3(-3) ... replace x with -3 and y with 3

3 = 9 ... which is false

This shows (x,y) = (-3,3) is not a solution

Answer:

40 feet

Step-by-step explanation:

x/20=6/3

3x/3=120/3

x=40 feet

Answer:

the top answer is correct

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.

Diagram of option(B) shows the construction of a 45° angle

The arc is a portion of the circumference of a circle

In diagram of option(B),

∵ The arc constructed between two perpendicular lines

Hence, the angle is 45°

Diagram of option(B) shows the construction of a 45° angle

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Answer:

James is 18

Marin is 13

Step-by-step explanation:

31 - 5 = 26

26/2 = 13

13 + 5 = 18

Answer:

200 m.

Step-by-step explanation:

Step 1:

Length × Width = Area      Equation

Step 2:

5 × 40      Multiply

Answer:

Area = 200

Hope This Helps :)

Answer:

1000 to 9999 are all of the 4-digit counting numbers

1 to 9999 gives 9999 counting numbers, but we are leaving out 999 of them

9999-999=9000 counting numbers that are 4-digit numbers

9000-1800=7200 4-digit numbers that are not multiples of 5

Step-by-step explanation:

There are 7,000 four-digit counting numbers that are not multiples of 5.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the number of four-digit counting numbers that are not multiples of 5, we need to find the total number of four-digit counting numbers and then subtract the number of four-digit counting numbers that are multiples of 5.

There are 9 choices for the first digit (it cannot be 0, since we are looking at four-digit numbers), and 10 choices for each of the remaining three digits (they can be 0-9).

So, the total number of four-digit counting numbers is:

9 × 10 × 10 × 10

= 9,000

To find the number of four-digit counting numbers that are multiples of 5, we need to consider the last digit.

Since a number is a multiple of 5 if and only if its last digit is 0 or 5, there are 2 choices for the last digit.

The first three digits can be any of the 10 digits, so there are:

10 × 10 × 10 × 2 = 2,000

four-digit counting numbers that are multiples of 5.

Therefore, the number of four-digit counting numbers that are not multiples of 5 is:

9,000 - 2,000 = 7,000

Thus,

There are 7,000 four-digit counting numbers that are not multiples of 5.

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Answer:B 100%

Step-by-step explanation:

Answer:

y = 23x/7 +48/7

Step-by-step explanation:

perpendicular slopes are always equal to -1

so the new slope is 23/7

slope intercept form is y = mx + b where m is the slope and b is the                 y-intercept

so plug in (-3, -3 ) to get -3 = 23(-3)/7 + b

isolate b

solve

-3 = 23*-3/7 + b

-3 = -69/7 + b

add 69/7 to both sides

69/7 - 3 = b

-3 = -21/7

69/7 - 21/7 = 48/7

b = 48/7

new equation is y = 23/7 + 48/7

If it's just the 7 that's repeating, let

x = 0.1777...

Then

10x = 1.777...

100x = 17.777...

100x - 10x = 17.777... - 1.777...

90x = 16

x = 16/90 = 8/45

If both 1 and 7 are repeating, let

x = 0.171717...

Then

100x = 17.171717...

100x - x = 17.171717... - 0.171717...

99x = 17

x = 17/99

Answer:

54 bales

Step-by-step explanation:

Answer:

54 Bales

Step-by-step explanation:

Subtract 22 from 76 to get 54

Answer:

32

Step-by-step explanation:

Answer:

Their are 8 thousands in the thousands place

Step-by-step explanation:

Answer:

3/6 = 4/8

Step-by-step explanation:

they're both halves

Answer:

3670000000

Step-by-step explanation:

Answer:

ueidicjfkfktitorr*rtt

28

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 20² + 20² = 400 + 400 = 800 ( take the square root of both sides )

h = [tex]\sqrt{800}[/tex] ≈ 28 in ( to the nearest whole number )

Answer:

The answer will be 95°

...

Answer:

Sum of angles in a triangle is 180°

So if angle A is 55°

And B is 30°

C is 180 - 55 + 30

= 180 - 85

Angle C = 95°

Step-by-step explanation:

Answer:

  2) V = 2000·1.07^t; $6317.63 after 17 years

  3) D = 950·0.82^t; 2 months to a balance of $650

Step-by-step explanation:

Exponential equations are not so difficult. They are generally of the form ...

  f(t) = (initial value) × (growth factor)^t

where t is the number of time periods to which growth factor applies. (I problem 2, that is years; in problem 3, that is months.)

The growth factor can be written different ways. In terms of growth rate, it is ...

  growth factor = 1 + growth rate

Often, the growth rate is expressed as a percentage. It may be positive or negative.

__

2) The initial value is $2000, and the growth rate is 7% = 0.07. So, the exponential equation for value is ...

  V = 2000·1.07^t

The value after 17 years is ...

  V = 2000·1.07^17 = 6317.63

__

3) The initial value is $950, and the growth rate is -18% = -0.18. That means the growth factor is 1-0.18 = 0.82. So, the exponential equation for the remaining debt is ...

  D = 950·0.82^t . . . . . where t is in months

We want to find the value of t when D=650, so we put that in the equation and solve for t. Logarithms are required.

  650 = 950·0.82^t

  650/950 = 0.82^t . . . . . . . . . . divide by 950

  log(650/950) = t·log(0.82) . . . take logarithms

  log(650/950)/log(0.82) = t ≈ 1.91

It will take about 2 months for the balance to be about $650.

Answer: D) 0.392

Step-by-step explanation:

0.300

0.090

0.002

__________

0.392

Answer:

i do not know

Step-by-step explanation:

Answer:

Simplify 6\div 36÷3 to 22.

10+4-210+4−2

2 Simplify 10+410+4 to 1414.

14-214−2

3 Simplify.

the answer is 12

Step-by-step explanation:

Answer:

[tex] - 2i[/tex]

Step-by-step explanation:

[tex]f(x) = { \times }^{3} + 3 {x}^{2} + 4x + 12 \\ = ( {x}^{3} + 3x^{2}) +(4x + 12) = \\ {x}^{2} (x + 3) + 4(x + 3) = \\ ( {x}^{2} + 4)(x + 3) [/tex]

Answer:

You forgot the rest of the function, but if x is -2, then the function is represented by f(x)=-2x

If you supply more information the equation would be different.

Step-by-step explanation:

PEMDAS:

perenthesis, exponents, multiplication + division, addition and subtraction.

so you add first, to get 12+5=17.

then you multiply, to get 5*17 =85

Answer:

85

Step-by-step explanation:

PEMDAS:

First you do parenthesis so add the 12 and 5 together to get 17.

Now you are left with 5(17).

from there multiply to get your answer.

85

Answer:Rip

Step-by-step explanation:

R

I

P

Answer:

Inflation is the continuing reduction of the purchasing power or price level rise in a given time period.

Therefore, keeping money in a savings account that gives an interest rate that is lower than the inflation rate, in a period of high inflation will result in a reduction of the purchasing power of the amount of money plus interest in the savings account.

If the interest rate is 10%, the amount, A, in the account after a given time will be 1.1A

If the inflation rate is 15%, the value of the goods sold initially at A, will become 1.15A after the given period and the amount in the account will no longer be able to purchase the goods it was initially able to purchase, or the amount in the savings account will lose value

Step-by-step explanation:

In this exercise, we have to know some finances concepts in order to explain the problematized situation in this way we can say that:

Inflation exist the ongoing decline of the ability to purchase or price level rise fashionable a likely time period.

Explaining this concept of finance in a deeper way, we find that:

Inflation exist the ongoing decline of the purchasing power or price level rise fashionable a likely an age.

Therefore, consistency services in a account for saved money that gives an sum charged for use of money that is to say inferior the swelling rate, in a period of extreme swelling will influence a decline of the ability to purchase of the amount of services plus interest in the account for saved money.

If the sum charged for use of money exist 10%, the amount, A, fashionable the or charges after a likely opportunity will exist 1.1A

If the swelling rate exist 15%, the value of ability sold out at first at A, will evolve into 1.15A following in position or time the given extent of time and the amount fashionable the or charges will not any more within financial means purchase the goods it exist at first able to perform well to purchase, or the amount fashionable the account for saved money will lose value

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Answer:

d>3

Step-by-step explanation:

6d-10>8

add the 10 to both sides

6d>18

divide the 6 from both sides

d>3

Answer:

-4 + -4x

Step-by-step explanation:

Simplifying

3x + -7x + -4

Reorder the terms:

-4 + 3x + -7x

Combine like terms: 3x + -7x = -4x

-4 + -4x

Answer:

The simplified equation would be -4x - 4

Step-by-step explanation:

1. Combine the like terms. So it would be -4x-4 because 3-7=-4.