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
Oksi-84 [34.3K]
3 years ago
11

4. BAKE SALE Ashley has $15 in the Pep

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

a) 187.5 b) Domain c ∈ [0,187.5] c) Range ∈ [0,15]

Step-by-step explanation:

a) In this function, d stands for dollars and c stands for cookies. Ashley left $15 to pay supplies for making new cookies. The more cookies they made the less money it is left. For instance, If someone bakes 1 cookie using that money:

d=15-0.08c d=15-0.08(1) d=14.92 Then $14.92 is left after baking 1 cookie. And so on.

To find the zero of this function, let's turn this into an equation.

d=15-0.08c\\0=15-0.08c\\-15=-0.08c\\\ \frac{0.08}{0.08}c=\frac{15}{0.08}\\c=187.5

So according to this function, with 15 dollars at least 187 cookies can be made.

b) The function d=15-0.08c if it was defined for the Real Set, any value would be valid within the Real Set. But c, is for cookies. Then the set is

Z_{+}

d=15-0.08c\\0=15-0.08c\\-15=-0.08c\\\ \frac{0.08}{0.08}c=\frac{15}{0.08}\\c=187.5

Domain c ∈ [0,187.5]

c) The Range

The Range is the subset of all values between $15 and 0$, since after the money is over they can no longer bake cookies. And there's $-1 dollar note.

So  the Range is d ∈ [0,15]

You might be interested in
prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample
Zolol [24]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = \frac{cos \ \theta}{sin \ \theta}

L.H.S = sin θ cos θ

so, sin θ cos θ ≠ \frac{cos \ \theta}{sin \ \theta}

So, the equation is not a trigonometric identity.

=========================================================

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

5 0
3 years ago
What is the equation of the line that passes through the point (-8,1) and has a slope of -3/4
ioda

Answer:

y=-3/4-5

Step-by-step explanation:

plug in ordered pair  1= -3/4(-8)+b

solve for b. b= -5

plug in to y=mx+b

3 0
3 years ago
Read 2 more answers
Rice weighing 3¾ pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?​
grigory [225]

Answer:

15/16

Step-by-step explanation:

3 3/4 divided by 4 = 15/16

4 0
3 years ago
7. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The T
Anit [1.1K]

Answer:

Modification has not reduced the number of accidents.

Step-by-step explanation:

H_0: \mu\geq0\\H_a:\mu

                                 A  B  C   D   E   F  G   H

Before modification 5  7  6   4    8   9   8   10

After modification    3  7  7   0    4   6   8    2

Difference                -2 0  1   -4   -4   -3  0   -8

Mean of differences M_d = \frac{sum}{8}=\frac{2+0-1+4+4+3-0+8}{8}=2.5

Standard deviation of differences = \sqrt{\frac{\sum(x-\bar{x})^2}{n}}=2.9277

Formula of paired t test :

t=\frac{M_d}{\frac{s}{\sqrt{n}}}\\t=\frac{2.5}{\frac{2.9277}{\sqrt{8}}}\\t = 2.4152

Df = n-1 = 8-1 =7

t critical = t_{(df, \alpha)}=t_{7,0.01}=2.998

t critical> t calculated

So, We failed to reject null hypothesis

Hence modification has not reduced the number of accidents.

6 0
3 years ago
Plz Help! 50 points and branliest if right!
SVETLANKA909090 [29]

Answer: The answer is 8

Step-by-step explanation:

Because you multiply the length by width to get area you just divide the area by either the length or width to find the missing length.

7 0
4 years ago
Read 2 more answers
Other questions:
  • A toy store had 594 games.<br> It sold 62 of these games.<br> How many games are at the store now?
    10·1 answer
  • jill mowed lawns for 3 hours and earned $7.20 per hour.Then she washed windows for 4 hours and earned $6.75 per hour. what were
    14·1 answer
  • Simplify the fraction 12/24​
    8·2 answers
  • A 95% confidence interval for the proportion of students achieving a reading achievement score that is above the standard set by
    11·1 answer
  • A number x is at most -3. What’s the inequality
    15·2 answers
  • What is equivalent to 3x-4y=6
    7·1 answer
  • What is 5+21 and 54+1
    9·2 answers
  • Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
    13·1 answer
  • Which of the following rational functions is graphed below?
    6·1 answer
  • You have a bag that holds 12 blue marbles and 8 red marbles you pick 1 marble at random put it back in the bag and then pick ano
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!