The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts
Number of T-Shirts Total Cost (dollar)
12
156
17
211
22
266
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
ok

Answers

Answer 1

Answer:

12

Step-by-step explanation:

hi

Answer 2

Equation which describe relationship between total cost and number of t-shirt is    [tex]c(t)=75.93e^{0.06t}[/tex].

Data given are ,

Number of t-shirt (t)                  total cost c(t)

12                                            156

17                                             211

22                                            266

According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.

Let,        [tex]c(t)=Ae^{kt}[/tex]

Substitute ,   t=12  and c(t) = 156

We get,     [tex]156=Ae^{12k}.......(1)[/tex]

Substitute ,  t=17 and c(t) = 211

We get,     [tex]211=Ae^{17k} ........(2)[/tex]

After solving above equations.

We get,    A = 75.93  and  k = 0.06

Thus,     [tex]c(t)=75.93e^{0.06t}[/tex]

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Related Questions

The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog. Write an equation for this situation, when going to the beach with at least one dog.

Answers

Answer:

$7+$2(x-1)-y

Step-by-step explanation:

$7+$2(x-1)=y where $7 is fixed fee and $2(x-1) represents $2 more for every ADDITIONAL dog more than the first dog.

Which alternative is the reciprocal of 2? *
A.-2
B. -1/2
C. 1/2
D.2

Answers

Answer:

I think the answer is C

Help me with this please!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = 2 units

Step-by-step explanation:

We can solve this in 2 ways, both ways would give the same answer:

#1) Sin(45) = [tex]\frac{\sqrt{2} }{y}[/tex]

=> Sin(45) * y = [tex]\sqrt{2}[/tex]

=> y = [tex]\frac{\sqrt{2} }{Sin(45)}[/tex]

=> y = 2

#2) Cos(45) = [tex]\frac{\sqrt{2} }{y}[/tex]

=> Cos(45) * y = [tex]\sqrt{2}[/tex]

=> y = [tex]\frac{\sqrt{2} }{Cos(45)}[/tex]

=> y = 2

Hope this helps!

Answer:

The value of y is 2 units .

PLEASE HELP!!!!!!! What is the slope of the line?


−53


−35


35


53

Answers

Answer:

Slope = 1

Step-by-step explanation:

helpppppppppppppppppppo

Answers

Answer:

...

Step-by-step explanation:

the first one ur correct

the second one is 12cm

Answer:

The west side is 12 cm

Step-by-step explanation:

15 kilometers divided by 5 is 3. Since every 5 kilometers is 4 cm, multiply 3 by 4 to get 12

can someone pls help me I’m confused

Answers

Answer:

The correct answer would be: 27x⁶y⁹

Step-by-step explanation:

=> (3x²y³)³

=> 3³x²⁽³⁾y³⁽³⁾

=> 27x⁶y⁹

Hope this helps!

Asked the wrong question minutes ago. The question I need answering is here, in the included photo.

Answers

Step-by-step explanation:

m L 1 = 180°-75° = 105° ( angles in one side)

m L 2 = 75° (corresponding angles)

Vertical angles have sum 180

m<1=

180-75105°

m<2

180-10575°

two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all

Answers

Answer:

there were 8 dog ears in all.

Step-by-step explanation:

Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:

2*2=4

Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:

4*2=8

According to this, the answer is that there were 8 dog ears in all.

giving 15 points cause i rlly need help
Bob had 1/3 of a pizza left over. He ate 2/3 of the leftovers for lunch. How much
pizza did he eat for lunch

Answers

2/9 of the pizza C: if bob has 1/3 of the pizza left and he eats 2/3, then you take 2/3 of 1/3, so you multiply.

Question 1
Which expression is NOT equivalent to the expression
shown above?
7^2
7^5

Select one:
7-3
7-10
1/343
72.75

Answers

The answer to this problem is answer b which is 7-10

Select all expressions are equivalent to 3^8
83
310
32
3.8
(34)
o (3.3)
3

Answers

Answer:

[tex]\frac{3^{10} }{3^{2} }[/tex] , [tex](3*3)^{4}[/tex], [tex](3^{4})^{2}[/tex]  

Step-by-step explanation:

The expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression. which is the correct answer would be options (B), (D), and (E).

What are exponential expressions?

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.

As per option (B), we have

3¹⁰/3²

3¹⁰⁻²

Apply the subtraction operation in the exponent

3⁸

As per option (D), we have

(3⁴)²

3⁴ˣ²

Apply the multiplication operation in the exponent

3⁸

As per option (E), we have

(3·3)⁴

(3²)⁴

3⁴ˣ²

3⁸

Thus, the expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression.

Hence, the correct answer would be options (B), (D), and (E).

Learn more about exponential function here:

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3/8
×
2/9
please help so hard!!!!!!!

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]

You can cut off 3 and 9 because they have 3s there

You can also cut off 2 and 8 since they have 2s there.

[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]

[tex]=\frac{1}{12}[/tex]

The complex polygon below represents the layout of a parking lot. Find the area of the parking lot in square meters.

Answers

Answer:

The area of the parking lot is: 144cm^2

Step-by-step explanation:

Given

See attachment for polygon

Required

The area of the parking lot

The attached plot has 6 congruent triangles with the following dimension;

[tex]Base = 6cm[/tex]

[tex]Height = 8cm[/tex]

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} * 6cm * 8cm[/tex]

[tex]Area = 24cm^2[/tex]

The area of the 6 triangles is:

Area = 6 * Area of 1 triangle

[tex]Area = 6 * 24cm^2[/tex]

[tex]Area = 144cm^2[/tex]

The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)

Answers

Answer:

-8-6

-8+6

6-(-8)

Step-by-step explanation:

hey! i’ll give brainliest please help.

Answers

Answer:

respect the traditions and beliefs

Which expression is equivalent to 4^-6 x 4^-2

Answers

Answer:

4^-8

Step-by-step explanation:

When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.

The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).

Answers

The favourite colours represent the following angles: red (90°), blue (90°),  green (135°) and yellow (45°).

Rule of Three

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

Here you can apply the rule of three for finding the angle  of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.

For colour - red

400 ----------- 360°

100 ------------ r

400r=360*100

400r=36000

r=36000/400

r=90°

For colour - blue

400 ----------- 360°

100 ------------ b

400b=360*100

400b=36000

b=36000/400

b=90°

For colour - green

400 ----------- 360°

150------------ g

400g=360*150

400g=54000

g=54000/400

g=135°

For colour - yellow

400 ----------- 360°

50------------ y

400y=360*50

400y=54000

y=18000/400

y=45°

Read more about the rule of three here:

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Which graph represents the function y= 1/4× - 3

Answers

Answer:

It would look about like this

Step-by-step explanation:

THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically

Answers

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

Giving brainlist to whoever answers

Answers

Answer:

14

Step-by-step explanation:

The trapezoids are similar, so you need to find which sides allign with each other. It can be seen that among the paralel sides of the trapezoid, the longer ones will be similar by the factor of 2. So, 2*7=14

Answer:

14 feet

Step-by-step explanation:

how can I do this ???​

Answers

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=

g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.

Answers

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].

How to find a solution of two functions by direct inspection

According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:

[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]

[tex]-0.01[/tex]

As we need only two decimals, approximation seems to be reasonable.

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]

Remark

Statement is incomplete and incorrectly formatted, correct form is presented below:

Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:

x         f(x)           g(x)

 0         13             14

 1          14             17

 2         17             20

 3         22            23

 4         29            26

3.5     25.25       24.5

To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634

please help!! i need 15 & 17!

Answers

Answer:

15. Answer: length = 15 ft; width = 3 ft

16. Answer: base = 14 cm; height = 5 cm

17. Answer: x² - 5x - 24 = 0

Step-by-step explanation:

15.

area of rectangle = length * width

length = x - 2

width = x - 14

area = (x - 2) (x - 14)

We are shown the area to be 45 ft².

We set the expression of the area equal to the given area and solve the quadratic equation for x.

(x - 2)(x - 14) = 45

x² - 14x - 2x + 28 - 45 = 0

x² - 16x - 17 = 0

(x - 17)(x + 1) = 0

x - 17 = 0  or  x + 1 = 0

x = 17  or x = -1

We discard the negative answer, x = -1, since it would give negative length and width.

x = 17

length = x - 2 = 17 - 2 = 15

width = x - 14 = 17 - 14 = 3

Answer: length = 15 ft; width = 3 ft

16.

area = ½bh

area = ½(x - 5)(x - 14)

area = 35

½(x - 5)(x - 14) = 35

(x - 5)(x - 14) = 70

x² - 14x - 5x + 70 = 70

x² - 19x = 0

x(x - 19) = 0

x = 0  or  x - 19 = 0

We discard x = 0 since it would give negative dimensions.

x = 19

base = x - 5 = 19 - 5 = 14

height = x - 14 = 19 - 14 = 5

base = 14

height = 5

Answer: base = 14 cm; height = 5 cm

17.

A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.

[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24

Answer: x² - 5x - 24 = 0

What is the volume of the triangular pyramid? Round to the nearest tenth if
necessary

Answers

Answer: 224m^3

Step-by-step explanation:

Since V=B(Base)h(Height)

B=1/2x4x8

8x4=32x1/2=16

V=16h

H=14

V=16(14)=224

So your answer is 224m^3

(^3 means cubed)

I hope this helps!

b.r.uh. these ch.a..t links be t.ripping

Answers

Answer: Ok so that is a fact for sure

Answer:

yup

Step-by-step explanation:

Mr.Suarez wants to paint his storage shed.He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy.The shed is in the shape of a rectangular prism with the dimensions shown below.Including the doors what is the lateral surface area of the storage shed brainly

Answers

Answer:

The lateral surface area is 336 square feet

Step-by-step explanation:

Given

See attachment for storage

Required

The lateral surface area

From the attached figure, we have:

[tex]L = 14[/tex] --- Length

[tex]W = 7[/tex] --- Width

[tex]H = 8[/tex] --- Height

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 8 * (14 + 7)[/tex]

[tex]Area = 16 * (14 + 7)[/tex]

[tex]Area = 16 * 21[/tex]

[tex]Area = 336[/tex]

ace please help plsss​

Answers

Answer:

B

Step-by-step explanation:

I Think I Got It Right But This Is From A LONG time ago

Answer:

B. 60

Step-by-step explanation:

I am pretty sure this is a 30-60-90 similarity right triangle. If that's the case, then the answer is 60 degrees. Have a good day! :DDD

You can write the equation of the line if you have two points on the line.
Is that true or false?

Answers

pretty sure it is true. sorry if wrong.
That’s true. If I were to explain why it would be restating the true or false question.

can someone average this out for me and for the term test I made a 36​

Answers

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

This should be the answer 72.8%

pls answerrrrrrrrrrrrrrqdqdqd

Answers

Answer:

30ft 2

Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared

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