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Answer:

Use the coordinate plane below to answer the following questions. a. Use a straightedge to construct a line that goes.

Step-by-step explanation:

Answer:

£9184

Step-by-step explanation:

Interest = PRT/100

P = Price

R = Rate

T = time

First Let's find the interest for 2 years

[tex]interest = \frac{8200 \times 6 \times 2}{100} \\ = 984[/tex]

So, the interest is £984

Now let's find the full amount he received after two years ,

[tex]8200 + 984 = 9184[/tex]

Total Amount = £9184

Hope this helps you

Let me know if you have any other questions :-):-)

Answer:

24.5

Step-by-step explanation:

24.5 is the temperature change each hour

7+(-3x)

7+(-36)

-29

I hope this helps!

Answer:

You returned 5 shirt.

Step-by-step explanation:

$30.60 ÷ $6.12 = 5

Answer:

5 shirts

Equation:

-$30.60 / -$6.12 = 5

So 5 would be your answer! :)

Answer:

[tex] r = \frac{tw}{(t - 1)} [/tex]

Step-by-step explanation:

[tex]t = \frac{r}{(r - w)} \\ t(r - w) = r \\ tr - tw = r \\ tr - r = tw \\ r(t - 1) = tw \\ \frac{r(t - 1)}{(t - 1)} = \frac{tw}{(t - 1)} \\ r = \frac{tw}{(t - 1)} [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

6

Step-by-step explanation:

not sure but it hope that helps

Answer:

3

Step-by-step explanation:

3 is the only number here with factors of itself (3) and 1

Answer:

3

Step-by-step explanation:

Answer:

16 students

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer: 2400

Step-by-step explanation:

120*20

The  power consumed by circuit is 2400 watt

The quantity of energy transferred or transformed per unit of time is known as power. The watt, or one joule per second, is the unit of power in the International System of Units.

Electrical power is the product of voltage and current. P = V X I .

Given:

Potential Difference= 120 vatt

Current = 20 Ampere

Now, using

Power = V x I

Power= 120 x 20

Power = 2400 Watt

Hence, the power consumed by circuit is 2400 watt

Learn more about power here:

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Answer:

z=56

Step-by-step explanation:

trust me

z=56  pay attention in school‍

Answer:

40 ounces

Step-by-step explanation:

Answer:

Answer :- Statement (B) ,C'D' ll AB

Given AB is parallel to CD.  CD rotated.

Consider a transversal line l intersecting AB and CD at angle x.

therefore By slope formula,

slope of AB and CD = m =tanx

Now after rotation of 180 CD become C'D'

therefore, slope of C'D' = =tanx=m

Hence C'D' ll AB.

Answer:

c = -1/4

e = 1 2/5

Step-by-step explanation:

4c - 5 = -6

add 5 to both sides

4c = -1

divide each side by 4

c = -1/4

5e + 2 = 9

subtract 2 from both sides

5e = 7

divide both sides by 5

e = 1 2/5

-Chetan K

Answer:

c = -1/4

e = 7/5

Step-by-step explanation:

1. 4c - 5 = -6, 4c = -1, c = -1/4

2. 5e + 2 = 9, 5e = 7, e = 7/5

Step-by-step explanation:

write this equation on a pice of paper then go to the camera button select which one you want and then take a pic of it. i am in a math class a year above me and this is what we are learning these types of problems confuse me I wish I could help

Answer:

Direction: Opens Up

Vertex: ( 5 , − 25 )

Axis of Symmetry: x = 5

I'm not sure if this was a graphing question however that is how you solve it.

Answer:  

y = 4x² -19x -5

Step-by-step explanation:  

When you graph it (or use an appropriate tool), it can help us to figure out that the equation is:

y = 4x² -19x -5

(Quadratic regression = the process of determining the equation of a parabola that best fits a set of data)

Hope this helps, have a nice day :D

Answer:

y=-2x^2+14x+(-7)

Step-by-step explanation:

using the 3 points of (-1, -23) (-3, -67) (2, 13)

Answer:

the equation is - [tex]y=x[/tex]

Explanation:

Given -

[tex]y=x+4[/tex]

We have to find a line passing through the point [tex](2,2)[/tex] nd parallel to the given line.

Find the slope of the given line.

It is the coefficeint of [tex]x[/tex]

m₁ = 1

The two lines are parallel. Hence

m₂=m₁=1 Where m₂is the slope of the second line.

You have slope and the points [tex](2,2)[/tex]

Find the Y intercept

[tex]y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0[/tex]

Y-Intercept [tex]C=0[/tex] and slope m₂=1

Fix the equation

[tex]y=x[/tex]

The 1/4x is the slope and +2 is (2,0).

Geometric sequence is characterized by a common ratio

(1) Sum of first 5 terms

The first term of the sequence is:

[tex]\mathbf{a = 3}[/tex]

The common ratio (r) is:

[tex]\mathbf{r = 6 \div 3 = 2}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]

So, we have:

[tex]\mathbf{S_5 = \frac{3 \times (2^5 - 1)}{2 - 1}}[/tex]

[tex]\mathbf{S_5 = \frac{93}{1}}[/tex]

[tex]\mathbf{S_5 = 93}[/tex]

Hence, the sum of the first five terms is 93

(2) Sum of first 5 terms

The first term of the sequence is:

[tex]\mathbf{a = 14}[/tex]

The common ratio (r) is:

[tex]\mathbf{r = 3}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]

So, we have:

[tex]\mathbf{S_5 = \frac{14 \times (3^5 - 1)}{3 - 1}}[/tex]

[tex]\mathbf{S_5 = \frac{3388}{2}}[/tex]

[tex]\mathbf{S_5 = 1694}[/tex]

Hence, the sum of the first five terms is 1694

(3) Sum of first n terms

The first term of the sequence is:

[tex]\mathbf{a = 318}[/tex]

The common ratio (r) is:

[tex]\mathbf{r = \frac12}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(1 - r^n)}{1 - r}}[/tex]

So, we have:

[tex]\mathbf{S_n = \frac{318 \times (1 - \frac 12^n)}{1 - \frac 12}}[/tex]

[tex]\mathbf{S_n = \frac{318 \times (1 - \frac 12^n)}{\frac 12}}[/tex]

[tex]\mathbf{S_n = 636 (1 - \frac 12^n)}[/tex]

Hence, the sum of the first n terms is [tex]\mathbf{ 636 (1 - \frac 12^n)}[/tex]

(4) The first term

The sum of the first 7th term of the sequence is:

[tex]\mathbf{S_7 = 547}[/tex]

The common ratio (r) is:

[tex]\mathbf{r = -3}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(1 - r^n)}{1 - r}}[/tex]

So, we have:

[tex]\mathbf{547 = \frac{a(1 - (-3)^7)}{1 - -3}}[/tex]

[tex]\mathbf{547 = \frac{a(2188)}{4}}[/tex]

Multiply both sides by 4

[tex]\mathbf{2188= a(2188)}[/tex]

Divide both sides by 2188

[tex]\mathbf{1= a}[/tex]

Rewrite as:

[tex]\mathbf{a = 1}[/tex]

Hence, the first term is 1

(5) Find the 7th term

The first term of the sequence is:

[tex]\mathbf{a=2}[/tex]

The common ratio (r) is:

[tex]\mathbf{r=3}[/tex]

The nth term of a geometric sequence is:

[tex]\mathbf{T_n = ar^{n -1}}[/tex]

So, we have:

[tex]\mathbf{T_7 = 2 \times 3^{7 -1}}[/tex]

[tex]\mathbf{T_7 = 1458}[/tex]

Hence, the seventh term is 1458

(6) Sum of geometric sequence

The first term of the sequence is:

[tex]\mathbf{a=2}[/tex]

The common ratio of the sequence is:

[tex]\mathbf{r = 6 \div 2 = 3}[/tex]

The number of terms is:

[tex]\mathbf{n = 5}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]

So, we have:

[tex]\mathbf{S_5 = \frac{2 \times (3^5 - 1)}{3 - 1}}[/tex]

[tex]\mathbf{S_5 = \frac{484}{2}}[/tex]

[tex]\mathbf{S_5 = 242}[/tex]

Hence, the sum of the first five terms is 242

(7) The first term

The sum of the first five terms is given as:

[tex]\mathbf{S_5 = 341}[/tex]

The common ratio is:

[tex]\mathbf{r = 4}[/tex]

The sum of n terms is calculated using:

[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]

So, we have:

[tex]\mathbf{341 = \frac{a \times (4^5 - 1)}{4 - 1}}[/tex]

[tex]\mathbf{341 = \frac{a \times 1023}{3}}[/tex]

Solve for a

[tex]\mathbf{a = \frac{3 \times 341}{1023}}[/tex]

[tex]\mathbf{a = 1}[/tex]

Hence, the first terms is 1

(8) Sum to infinite

The first term of the sequence is:

[tex]\mathbf{a = 192}[/tex]

The common ratio (r) is:

[tex]\mathbf{r = \frac 14}[/tex]

The sum to infinite is:

[tex]\mathbf{S_{\infty} = \frac{a}{1 - r}}[/tex]

So, we have:

[tex]\mathbf{S_{\infty} = \frac{192}{1 - 1/4}}[/tex]

[tex]\mathbf{S_{\infty} = \frac{192}{3/4}}[/tex]

[tex]\mathbf{S_{\infty} = 256}[/tex]

Hence, the sum to infinite is 256

Read more about geometric sequence at:

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Answer:

4/3 lemons

Step-by-step explanation:

For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.

The required rate of lemon per cup of lemonade is 1.34 lemons per cup.

Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.

The rate of change is defined as the change in value with the rest of the time is called the rate of change.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34

Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.

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Answer:

135

Step-by-step explanation:

720 degrees in a 6 sided shape. already have 2 right angles so its 720- 180 = 540

540÷4 is 135

Answer:

Step-by-step explanation:

Bbdbbdbs

Answer:

[tex]find \: f(0) \\ \\ f(x) = - x + 2 \\ f(0) = - (0) + 2 \\ f(0) = - 0 + 2 \\ f(0) = 2[/tex]