Write the expression as a single multiplication sentence without
parentheses.

11 × (15 + 5)

Answer:

The formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Step-by-step explanation:

We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

here

f(t) represents the final amount

a represents the original amount

b represents the decay factor

t represents the amount that has passed

Now, map our problem using the same concept formula

as

2150 members are at the beginning, so

a = 2150  

as the size of the population has been experiencing an annual decline of 3.8%. so

b = 3.8%= 0.038

so substituting b = 0.038 and a = 2150  

[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]

Therefore, the formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Answer:

43

-161

Step-by-step explanation:

Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.

Step-by-step explanation:

Answer:

[tex]y = \frac{2}{3}x - 6[/tex].

Step-by-step explanation:

(3 , -4)  ;  slope(m) = 2/3

y - y1 = m (x -x1)

[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Answer:

46, 11/25, 45%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dimensions of rectangle:

The area is the product of the two dimensions:

A) [tex]7x(-5)[/tex]

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]

[tex](7x5)[/tex]

Multiplique os valores

[tex]-35[/tex]

resposta para  A: [tex]-35[/tex]

B)[tex](-9)x(-8)[/tex]

A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]

[tex]9 x 8[/tex]

Multiplique os valores

[tex]72[/tex]

Resposta para B :[tex]72[/tex]

C)[tex](-15) : 5[/tex]

A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]

[tex]-(15:5)[/tex]

Divida os números

[tex]-3[/tex]

Resposta para C: [tex]-3[/tex]

D) [tex]125 : 25[/tex]

Divida os números

[tex]5[/tex]

Resposta para D: [tex]5[/tex]

POR FAVOR ME MARCA BRAINLIEST

Answer: 640 students.

Step-by-step explanation:

given data:

number of student chosen to attend by the mayor = 160

amount this student represents of the total population = [tex]\frac{1}{4}[/tex]

solution:

since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]

therefore;

[tex]\frac{1}{4} = 160\\[/tex]

multiply both sides by 4

[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]

the least number of students that attend melvins school is 640.

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus

∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )

Step-by-step explanation:

P * h = k, where k is a real constant.

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

In terms of general equivalence relations,

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

Answer:

.36

Step-by-step explanatio

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

Answer:

(-8;11] is the range of the graph

Step-by-step explanation:

income income earned working 5 hours is $50

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer:

x=1

Step-by-step explanation:

-3x=-3

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Answer:

i just need  more points so sorry im not helping

Step-by-step explanation:

im just a blank bc it doesnt let me say it seventh grader

Answer: 12

Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.