What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

Answers

Answer 1

Answer: I hope this helps you

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Find the perimeter of a trapezoid with sides that measure 14.6 inches, 5.5 inches, 8.4 inches, and 16 inches.

Answers

Perimeter = sum of all sides = 14.6 + 5.5 + 8.4 + 16 = 44.5 inches

find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n)=5+(n-1)(1/6)

Answers

Answer:

First term is 5

Fourth term is 5.5

Tenth term is 6.5

Step-by-step explanation:

Given :The rule as $A(n)=5+(n-1)((1)/(6))$

We have to find find the first,fourth,and tenth terms of the arithmetic sequence.

Consider the given rule ,

$A(n)=5+(n-1)((1)/(6))$

For first term , put n = 1

$A(1)=5+(1-1)((1)/(6))$

Simplify , we have,

$A(1)=5$

For fourth term, Put n = 4

we have,

$A(4)=5+(4-1)((1)/(6))$

Simplify, we have,

$A(4)=5+(3)((1)/(6))$

$A(4)=5+(1)/(2)=5.5$

For tenth term, put n = 10 ,

We have,

$A(10)=5+(10-1)((1)/(6))$

$A(10)=5+(9)((1)/(6))$

$A(4)=5+(3)/(2)=6.5$

Thus, First term is 5

Fourth term is 5.5

Tenth term is 6.5

a₁ = 5 an = a₁ + ( n-1) * r
wyliczymy jednak - so we enumerate
a₁ = 5 + (1-1) * (1/6) = 5 + 0* 1/6 = 5 + 0 = 5
a₄ = 5 + (4 - 1) * (1/6) = 5 + 3 * (1/6) = 5 + 3/6 =5 1/2 = 5,5
a₁₀ = 5 + (10 - 1) * (1/6) = 5 + 9 * (1/6) = 5 + (9/6) = 5 + 3/2 = 6 1/2 = 6,5

A school has ordered 16 buses that each have 40 seats for a school trip. There are 32teachers and 576 students. Each bus must have 2 teachers and the rest students. If the
students are distributed evenly amongst the buses, how many students would be on each
bus? How many empty seats will there be in total?

Answers

36 students will be in each buses for the trip.

The total number of empty seat in the buses is 32

How to find the total number of seats?

The school ordered 16 buses that each have 40 seats for a school trip.

There are 32 teachers and 576 students.

Each bus must have 2 teachers and the rest students.

The students were distributed evenly amongst the buses.

Therefore,

number of student in each buses = total number of student / number of buses

number of student in each buses = 576 / 16

number of student in each buses = 36

Therefore, 36 students will be in each buses for the trip.

Each buses has 40 seats.

Recall, 2 teachers are even distributed in each buses.

Therefore

number of empty seat in total = 16 × (40 - 36 - 2)

number of empty seat in total = 16 × 2

number of empty seat in total = 32

Therefore, the total number of empty seats in the buses is 32.

learn more on algebra(total number) here: brainly.com/question/13875201

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Which of the following intervals represents the set (1,4) u [2,6]?a. (1,6]
b. (4,6]
c. [2,4)
d. (2,6]

Please show work,

Thanks!

Answers

$(1;\ 4)\ \cup\ [2;\ 6]=(1;\ 6]\n\nAnswer:A.$

Set is a sum of two intervals :(1,4) u [2,6]
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x $\leq 6$
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x

B f(x) = 1500(115)x

C f(x) = 1500(2.15)x

D f(x) = 1500(215)x

Answers

Answer:

Option (c) is correct.

$f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given A colony contains 1500 bacteria

and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

$A=P(1+(r)/(100) )^t$

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

$f(x)=1500(1+(115)/(100) )^x$

Simplify, we get,

$f(x)=1500(1+1.15)^x$

$f(x)=1500(2.15)^x$

Thus, $f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

its f(x)=1500(2.15)x so c hope this helps

CHECK MY MATH PLEASE!? 1. When you estimate expenses for a month, you should _______.

A: add expenses for rent/mortage, utilities, food, and gas. (my answer)
B: Round all expenses down.
C: Add only the rent/mortgage and utility expenses.
D: Estimate that it will be about 20% of your net income.

2. Suppose you have a bi-weekly mortgage payment of $657. If there are typically 4 weeks in a month, what do you need to do to estimate your monthly mortgage payment?

A: Multiply it by 2, then round
B: Round it down to $650, then multiply by 2
C: Add it to other estimates just as it is
D: Multiply it by 4, then round (my answer)

3. Rent is $978. Phone charges last month were $54.89. Groceries cost about $93/week. What is a good estimate of your monthly expenses?

A: $1,126.00
B: $1,100.00
C: $1, 433.00
D: $1,400.00 (my answer)

4. Bi-weekly mortgage is $455. Monthly phone charges are $34.95. The electric bill last month was $65.88. Groceries cost about $87/week. What is a good estimate of your monthly expenses?

A: $643.00
B: $904.00 (my answer)
C: $1,098.00
D: $1,359.00

Answers

1. If I remember from class correctly, your monthly expenses should be about 20% of your net income, so the answer would be D. Although, adding up the expenses would work as well.
2. If the payment is bi-weekly, and there are 4 weeks in a month, you only have to multiply by 2, because "bi-weekly" means every 2 weeks, which means the payment would come twice a month. So, the answer would be A, Multiply by 2 and then round.
3. Round each of the numbers. 978 becomes 980, 54.89 becomes 55, and 93 becomes 90. We'll assume that there are 4 weeks in a month. Add them all up. 980+55+90+90+90+90 = 1395 So, yes, your answer of D, 1,400.00 is a good estimate.
4. Again, round each of the numbers. 455 can stay the same, 34.95 becomes 35, 65.88 can stay at 65 for the sake of easy math, and 87 gets rounded up to 90.
We'll keep assuming that there are 4 weeks in a month. Now, add them all up. Be sure to remember that the rent is bi-weekly, so it has to be added in twice. 455+455+35+65+90+90+90+90 = 1370. This means that of the choices, D, 1,359.00 is a good estimate of the monthly expenses.

Answer:

1. A its not D

2. A

3. D

4. D

100%

*★,°*:.☆(￣▽￣)/$:*.°★* 。

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