What is the solution to the system of equations?
y=2/3x+3
y = -2

The function that represent this exponential decay is given as y = A(0.85)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

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Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.

The area of the city block is calculated from the product of the dimensions provided:

The city block is in form of a square, hence it's area = side × side

Dimension of city block = 300 feet by 300 feet.

Area of city block = 90000 square feet

Half of area of city block = 45000 square feet

1 gallon covers 13.8 square feet

400 gallons will cover = 400 × 13.8 = 5520 square feet

The area 400 gallons of coffee will cover is less than 45000 square feet.

Therefore, the news caster's claim is wrong.

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Answer:

Mr Bean will get 1000 naira.

Step-by-step explanation:

They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000

Answer:

45 divide by 19 =2 r 7 thanks

The wholesale price that the store paid for the Y-Box game is $150.

When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.

Wholesale price = selling price / ( 1 + percentage mark up)

$207 / (1+ 38)

$207 / (1.38) = $150

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Answer:

You are asking a question that cannot be solved by anyone outside of your school.

Step-by-step explanation:

What information is below?

1. answer choice 3

2. answer choice 2

3. answer choice 1

4. answer choice 4

5. answer choice 5

Answer:

1. the answer choice 3

2. the answer choice 2

3. the answer choice 1

4. the answer choice 4

5. the answer choice 5

Step-by-step explanation:

Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

[tex] \\ [/tex]

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]

Adding like terms we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]

Dividing both sides by 3 we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]

So,

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]

Therefore,

Answer:

n = -1.25

Step-by-step explanation:

S(ABCD) = AB × AD

S(ABCD) = 2n × (4n + 5)

S(ABCD) = CD × AD

2n × (4n + 5) = CD × (4n + 5)

n = -1.25

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

s = arc length

n = measure of the central angle of the sector

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]

[tex] n = 54.1^\circ [/tex]

Area of sector of circle of radius r:

[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]

A = area of sector of circle

n = measure of the central angle of the sector

[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]

[tex] A= 38.25~cm^2 [/tex]

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

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Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

Answer: Option (3)

Step-by-step explanation:

You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters

Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

Answer:

[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]

The amount that is left with Kari,

[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]

                                    [tex]= \$585-\$580.72\\\\=\$4.28[/tex]

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

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Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

The true statement is that the 6-pack contains 0.130 litres more soda.

He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.

6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.

1 pack = 0.355 litre can

6 pack = ?

cross multiply

volume of soda = 6 × 0.355 = 2.13 litres

The 6-pack of 0.355-liter cans  contains 2.13 litres of soda.

difference = 2.13 - 2.00 = 0.13 litres

Therefore, the 6-pack contains 0.130 litres more soda

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The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively

The problem forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

Therefore, the length of the bridge and the length the dog swam can be calculated as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / x

cross multiply

x = 30 / tan 68

x = 12.12 ft

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

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Answer:

PR = 7.99 cm (2 dp)

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

En este caso, sabes:

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

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Hey there!

The Best Ways to Borrow Money

Banks.

Credit Unions.

Peer-to-Peer Lending (P2P)

401(k) Plans.

Credit Cards.

Margin Accounts.

Public Agencies.

Financing Companies..

Answer:

There are many options like Banks, Credit Unions, Peer-to-Peer Lending (P2P), 401(k) Plans, Credit Cards, Margin Accounts, and Public Agencies.