Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.

The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.

The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.

Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?

A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x

Answer:

there's no picture, repost with a picture or more details

Answer:

a type of work or a way of life that you believe to be especially suitable for you

Answer:

cost per tennis ball

Step-by-step explanation:

Answer:

[tex]x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree[/tex]

[tex]y = 2[/tex]

Answer:

C. 4

Step-by-step explanation:

have a nice day! :)

They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Answer:

At the start the total number is 10, male fish = 6

At the second time the total number is 9, male fish = 5

Probability of two male fish is:

Answer:

they can make 24 2/3 pint jars.

Step-by-step explanation:

16 divided by 2/3 is equal to 24.

Answer:

84

Step-by-step explanation:

The interquartile range is obtained using the relation :

Third quartile (Q3). - First quartile (Q1)

From. The boxplot :

Q3 = 96

Q1 = 12

Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

what is question 10?

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

the 3 one

Step-by-step explanation:

the rest would be like 0.9721111111 repeating but the 3 one won't be so its 3 one hive me brainlest

Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

4 swimmers

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

Answer:

Billy would need to mow 4 laws to make over $25.

Answer:

The claim is true for all values of m.

Step-by-step explanation:

Given

[tex]y = 2 + mx[/tex]

Required

Which claim is true [See comment for options]

A linear equation is represented as:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

And the value of m knows no bound

i..e

[tex]m > 0[/tex]

[tex]m = 0[/tex]

[tex]m < 0[/tex]

Hence, (a) is correct

Answer:

6.5

Step-by-step explanation:

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6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

option A 12x is the correct answer

Answer:

∫ F dr= 1

c

Step-by-step explanation:

The correct question is -

Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]

To find - Evaluate and input the result of the following integral.

Proof -

We know that,

dr = dx i + dy j

F = < F1, F2 >

Now, we know

[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]

So,

[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]

Now,

We can see that,

[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]

So,

[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]

∴ we get

∫ F dr= 1

c

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s

Answer:

Step-by-step explanation:

Volume formula:

The base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.

Area of the base:

Volume:

Answer:

ion know

Step-by-step explanation:

7/10 + 1/5 =

7/10 + 2/10  (1/5 x 2 = 2/10) = 9/10

10/10 - 9/10 = 1/10

therefore, 1/10 of the class rides on the school bus.

Answer:

2/3 + ( -2 1/3) = -1 2/3

Step-by-step explanation:

Answer:

[tex](3)\ y = -x[/tex]

[tex](5)\ y = -3x -2[/tex]

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

[tex]m = -1[/tex]

[tex](x_1,y_1) =(4,-4)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -1(x - 4) -4[/tex]

Expand

[tex]y = -x + 4 -4[/tex]

[tex]y = -x[/tex]

Solving (5):

[tex]m = -3[/tex]

[tex](x_1,y_1) = (1,-5)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -3(x - 1) - 5[/tex]

Expand

[tex]y = -3x + 3 - 5[/tex]

[tex]y = -3x -2[/tex]

Answer:

0.22

Step-by-step explanation:

defective rate is 7 out of 100

defective rate of 4, or 3, or 2, or 1 defective is:

7/100 + 6/99 + 5/98 + 4/97 ≈ 22/100

The required probability for fewer than 5 defective rate is 0.10

An industrial machine produces widgets, but it has a 0.07 defective rate.

What is the probability?

Probability, can be define as the ratio of favorable events to the n number of total events.

defective rate fewer than 5

p of 4 defective + p for 3 defective+ p for 2 defective + p for  1 defective.

total p = 4/100 + 3/99 + 2/98 + 1/97 ≈ 0.10

Thus, The required probability for fewer than 5 defective rate is 0.10

Learn more about probability here:

brainly.com/question/14290572

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