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
bekas [8.4K]
3 years ago
11

Can someone help me out?

Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

Slope is positive.

Every additional hat produced results in a cost increase of $0.60

Before producing any hats the cost is about $100

Step-by-step explanation:

Calculate the slope or rate of change using two data points from the table.

m = \frac{111-105}{20-10} =\frac{6}{10}

This means that the cost rises by $6 for every 10 hats or 0.60 per 1 hat. The slope is positive and increasing.

This also means that for 0 hats the cost is 105-6 = 99 or about $100.

You might be interested in
Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni
valentinak56 [21]

Answer:

4.16

Step-by-step explanation:

50/12

7 0
3 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
HACTEHA [7]

Answer:

-\frac{1}{2}y^2-4y+1=x

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of  horizontal parabola is

(y-k)^2=4p(x-h)

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9                   and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

(y-k)^2=4p(x-h), k= -4, h= 9 , p = -0.5

(y+4)^2=4(-0.5)(x-9)

(y+4)^2=-2(x-9)

y^2+8y+16=-2x+18

subtract 18 on both sides

y^2+8y-2=-2x

Divide whole equation by -2

-\frac{1}{2}y^2-4y+1=x




4 0
3 years ago
Solve P= 2B + 2M for B
kykrilka [37]

Answer:

B = P/ 2 − M

Step-by-step explanation:

8 0
3 years ago
Upper Deck $9.25
Elena-2011 [213]

Answer:

13

Step-by-step explanation:

Purchase 2 upper deck tickets:

\$100-(2*\$9.25)=\$81.50

You can then buy 13 right field bleacher tickets before you reach deficit:

\$81.50/\$6.00=13.583

Because you cannot purchase a .583 of a ticket, the most you can buy is 13.

8 0
3 years ago
Read 2 more answers
Other questions:
  • The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
    8·1 answer
  • If p=3q^3 , is p a function of q ?
    12·1 answer
  • In the last year a total of 2783 earthquakes occurred in the country. Of these, 85.8% were minor tremors w/ magnitudes of 3.9 or
    14·1 answer
  • Z3 = -1,331 <br>Please help me​
    8·1 answer
  • Help me will name brainliest
    8·1 answer
  • IMA GIVE 1,000 COOKIES TO THE PERSON WHO GETS THIS QUESTION RIGHT
    11·1 answer
  • HELP PLEASE!! ill give brainiest &lt;3
    15·2 answers
  • Which ones are linear ? <br> please help thanks
    7·1 answer
  • I need help with the question
    8·1 answer
  • 2020 to the square root of 6
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!