1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa [96]
3 years ago
15

The total cost in dollars to buy calculator sets for the students in Mr. Engle’s math class can be found using the function C =

75.95 s + 12.25, where s is the number of calculators purchased. If there are at least 27 students but not more than 31 students in Mr. Engle’s math class, what is the range of the function for this situation?
A {2062.90, 2138.85, 2214.80, 2290.75, 2366.70}
B 0 < c ≤ 2366.70
C 0 < s ≤ 31
D {27, 28, 29, 30, 31}
Mathematics
2 answers:
DedPeter [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

75.95*27+12.25= 2062.9

2062.9 is the minimum

ohaa [14]3 years ago
7 0
B is the correct answer
You might be interested in
I’m a bit confused on how to solve this problem, and could use some help!
weqwewe [10]

Answer:

Okay to start with we know this side isn't congruent to our side with 55 degrees looking at this side we can see that x is not 95 degrees because it is an acute angle so A is crossed out. Next this side isn't congruent like I said so B is crossed out. C is possible but the angle wouldn't be as wide as it is if we had 59 degrees so C is incorrect. Leaving us with D 70 degrees hope this helps and sorry if I got it wrong!

Step-by-step explanation:

4 0
2 years ago
HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked
Vinil7 [7]

Answer:

1.  $33,000

2.  $6077.53

3.

a)  2.72 seconds

b)  0.96 seconds

4.  189 square meters

5.

a)  Average Rate of Change = 4 pounds per week, or -4

b)  160 pounds (after 5 weeks)

6.  

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

1.

The value of a tractor V(t) decreases over time, t. Its value is given by:

V(t)=55000-5500t

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000

The value of the tractor after 4 years is <u>$33,000</u>

<u></u>

2.

The value of investment that is growing each year, is given by:

f(n)=5000(1.05)^{n}

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53

To the nearest cent, the value of the investment would be:

<u>$6077.53</u>

<u></u>

3,

The time it takes of pendulum to make one swing is given by the formula:

T(L)=2\pi \sqrt{\frac{L}{32}}

Where L is the length of the pendulum in feet

a)

If L = 6ft, the time it will take is:

T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72

About <u>2.72 seconds</u>

<u></u>

b)

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96

So, it will take about <u>0.96 seconds</u>

<u></u>

4.

The area of weed after t days can be modeled by:

A(t)=0.006 \pi t^2

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5

Rounded to nearest sq. m, we have the area to be:

<u>189 square meters</u>

<u></u>

5.

a)

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

<u>Average Rate of Change = 4 pounds per week, or -4</u>

<u></u>

b)

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = <u>160 pounds (after 5 weeks)</u>

6.

The Karvonen formula is given as:

T=p(220-A)+H(1-p)

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

<u>Independent Variables = p, A, and H</u>

<u>Dependent Variable = T</u>

<u></u>

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

T=0.65(220-35)+60(1-0.65)\\T=141.25

<u>The target heart rate should be:  141 beats per minute (rounded to nearest whole number)</u>

<em><u /></em>

<em><u /></em>

3 0
3 years ago
Ayudaaaaaa es para hoy
murzikaleks [220]

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

8 0
2 years ago
19/10 rational or irrational ?
yarga [219]

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.


19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

3 0
3 years ago
If a point is originally located at (2,9) and is translated 4 units to the right and 7 units up, what would its new
aliina [53]

Given:

The point is (2,9).

It is translated 4 units to the right and 7 units up.

To find:

The coordinates of new point.

Solution:

The point is translated 4 units to the right and 7 units up. So, the rule of translation is

(x,y)\to (x+4,y+7)

The point is (2,9). Using the above rule, we get

(2,9)\to (2+4,9+7)

(2,9)\to (6,16)

Therefore, the coordinates of new points are (6,16).

5 0
2 years ago
Other questions:
  • Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 60 feet and a width of 80
    10·2 answers
  • Simone has 5 in her flower shop.Each employee works 6 4/15 hours a day how many hours in total do the 5 empoyees work per day?
    6·1 answer
  • 1+4=5&lt;br /&gt;<br> 2+5=12&lt;br /&gt;<br> 3+6=21&lt;br /&gt;<br> 8+11=?
    5·1 answer
  • How do you put the product of x and 8 is less than or equal to 39<br> in a algebraic expression
    15·2 answers
  • Draining a half cylinder tank. A trough is shaped like a half cylinder with length 5 m and radius 1 m. the tank is full of water
    10·1 answer
  • What does this mean, what does the negative sign in front of the parenthesis mean? -2= -(n-8)
    13·1 answer
  • Can please someone help me out and explain it step by step. Thank you
    9·1 answer
  • Each day of the work week, Mr. Harbin uses 34 of a gallon of gas. Which estimate best describes the amount of gas Mr. Harbin wou
    9·1 answer
  • The discount on a new coat is $175. This is a discount of 20% what is the original selling price of the coat?
    11·1 answer
  • Please help ‼️‼️⁉️‼️‼️‼️
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!