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Jackson added new baseball cards to his collection each year. The table below shows how many cards Jackson has in his collection over time.


Years Number of cards
2 32
3 48
5 80
7 ?


At this rate, how many cards will Jackson have in 7 years?
82 cards
96 cards
108 cards
112 cards

Answer:

Step-by-step explanation:

The individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature.

A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:

In this scenario, the individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature i.e junior, senior and sophomore.

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Answer:

C

Step-by-step explanation:

Answer:

x-0.25 is the answer for the above expression

The Solution.

The total number of people surveyed = 750.

The number of age group 41 - 50 that favored the Do-It-Yourself books = 69

The percentage of the people in age group 41 - 50, and favored the Do-It-Yourself books is calculated as below:

Hence, the correct answer is 9 percent.

We can consider the options one by one. (9) < 0This statement says that the absolute value of 9 is less than 0. This cannot be true because the absolute value of any number is always positive. Hence, option (A) cannot be true.

f(3) < 0This statement says that the value of f(3) is negative. Since we do not know what the function f is, this could be true or false. Therefore, option (B) can be true. f(3) > 0This statement says that the value of f(3) is positive. Since we do not know what the function f is, this could be true or false.

f(0) < 9This statement says that the value of f(0) is less than 9. Since we do not know what the function f is, this could be true or false. Therefore, option (D) can be true. From the given options, we have found that option (A) cannot be true because the absolute value of any number is always positive. Hence, the correct answer is option (A).

The statement " |(9) < 0" cannot be true.

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Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Hi there!  

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I believe your answer is:  

Around 13 cents.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\rightarrow \frac{dollars}{ounces}= \frac{6.19}{48}=\frac{6.19/48}{48/48}=0.128958... \approx \$0.13\)

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

the slope is -300

Step-by-step explanation:

y=mx+b

m is slope

Answer:

1) 80+(-20)

2) -13+9

3) -5+(8)

I don't quite know how to explain

Just think about 1) 60 is the new temperature, in order to have an addition problem we're going to have to use negative numbers. Since we had to subtract 20, in order to use addition it would be 80+(-20).

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

Answer:

patterns

Step-by-step explanation:

inductive reasoning is using past experiences to deduce future outcomes

Answer:B

Step-by-step explanation: When solving expressions with parentheses it’s important to always solve what’s in parentheses first. And when there’s parentheses in parentheses, solve the parentheses that are in the parenthesis. Whew...I hope this helps :)

Step-by-step explanation:

here you go!

so basically x = 9 cars

Answer:

10.2*6.3=64.26

Step-by-step explanation:

Solve 102*63, then move the decimal point two numbers from the right:

Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26

Answer:

64.26

Step-by-step explanation:

This is a simple multiplication

When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3​ is 64.26.

Answer:

4 balls in neither hole, and 6 balls in the smallest hole

Step-by-step explanation:

4 balls in the bigger hole, and 6 balls in neither hole

4(10) + 6(1) = 46

4 balls in the smallest hole, and 6 balls in neither hole

4*100 + 6(1) = 406

4 balls in neither hole, and 6 balls in the smallest hole

4(1) + 6(100) = 604

4 balls in the bigger hole and 6 balls in the smallest hole

4(10)+6(100) = 640

Answer: $33.48

Step-by-step explanation:

Given that:

Capacity of car tank =. 16 gallons

Gallons of already filled = 6.6 gallons

Amount left of tank capacity = 16 - 6.7

Amount left of tank capacity = 9.3 gallons

Cost of gas per gallon = $3.60

Hence, amount spent in gas will be

Amount left of tank capacity * cost per gallon of gas

= 9.3 gallons * $3.60

= $33.48

Total amount spent on gas = $33.48

any more help just ask :)

Answer:

B: SAS

Step-by-step explanation:

You know that QR is congruent to PS.

You also know that angle qsr and pqs are both 90 degrees.

Lastly QS is a shared side so it must be the same length.

Answer:

D. HL

Step-by-step explanation:

given right angle, hypotenuse and a leg which is basically HL

ps and QR is congruent bc of given

QS=QS bc it's the same thing

The functions \(\{x^4, x^4 - 1, 8\}\) are linearly dependent because the equation \(c_1x^4 + c_2(x^4 - 1) + c_3(8) = 0\) has the solution \(c_1 = c_2 = -1\), and \(c_3 = 1\).

To determine whether the given functions \(\{x^4, x^4 - 1, 8\}\) are linearly dependent or linearly independent on the interval (-∞, ∞), we need to check if there exist constants \(c_1\), \(c_2\), and \(c_3\), not all zero, such that the linear combination \(c_1x^4 + c_2(x^4 - 1) + c_3(8) = 0\).

Let's simplify the equation:

\(c_1x^4 + c_2x^4 - c_2 + 8c_3 = 0\\(x^4)(c_1 + c_2) - c_2 + 8c_3 = 0\)

For this equation to hold for all x in (-∞, ∞), the coefficients of each power of x must be zero.

From the coefficient of \(x^4\), we have \(c_1 + c_2 = 0\).

From the coefficient of \(x^0\), we have \(-c_2 + 8c_3 = 0\).

We have two equations with three unknowns \((c_1, c_2, c_3)\), which implies there are infinitely many solutions. We can choose \(c_1 = -1\), \(c_2 = 1\), and \(c_3 = 1\) to satisfy both equations.

Therefore, the given functions \(\{x^4, x^4 - 1, 8\}\) are linearly dependent because there exist constants \(c_1 = -1\), \(c_2 = 1\), and \(c_3 = 1\) (not all zero) that make the linear combination equal to zero.

So the correct choice is:

A. The functions are linearly dependent because \(c_1x^4 + c_2(x^4 - 1) + c_3(8) = 0\) has the solution \(c_1 = c_2 = -1\), and \(c_3 = 1\).

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Answer:

Step-by-step explanation:

its 16

Dimes is the coin which is equal to the 0.10 dollar. The number of dimes in the bag is 16.

To find the number of dimes we need to know about dimes.

Dimes is the coin which is equal to the 0.10 dollar. Quarter is the coin which is equal to the 0.25 dollar.

Given information-

The total number of coins bag contains is 37.

The total amount of money in the bag is $6.85.

Let the number of Dimes in the bag is \(x\) and the number of quarter in the bag is \(y\).

As the the total number of coins bag contains is 37. Thus,

\(x+y=37\\\)

Solve the equation for y,

\(y=37-x\)

Let the above equation is equation number 1.

As total amount of money in the bag is $6.85. Thus,

\(0.10x+0.25y=6.85\)

Put the value of y in the above equation as,

\(\begin{aligned}\\0.10x+0.25(37-x)&=6.85\\0.10x+9.25-0.25x&=6.85\\0.15x&=6.85-9.25\\x&=\dfrac{2.4}{0.15} \\x&=16\\\end\)

Hence, the number of dimes in the bag is 16.

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Step-by-step explanation:

Use the method of TOA CAH SOH.

\(tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) \)

\( cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } \)

Perimeter of triangle = Sum of all sides =

\(u \: + \: v + 4\)

Answer:

use right angeled triangle method.

Answer:

In picture

Step-by-step explanation:

Monopolies tend to exhibit higher profit and lower quantities sold compared to a competitive market. This is because monopolies have the ability to set prices higher than their marginal cost without the fear of losing customers to competitors.

They can charge higher prices and restrict output to maximize profits. In contrast, in a competitive market, firms must price their goods at the market price determined by the forces of supply and demand and produce at the level of output where their marginal cost equals the market price. This leads to lower prices and higher quantities sold.

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 The slope of a line can be determined using two points on the line. Given the coordinates (3,10) and the point obtained by going right 2 and down 7, the slope of the line can be calculated.

To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the given point (3,10) as (x1, y1), and the point obtained by going right 2 and down 7 as (x2, y2), we have:
x1 = 3, y1 = 10
x2 = 3 + 2 = 5, y2 = 10 - 7 = 3
Plugging these values into the slope formula:
m = (3 - 10) / (5 - 3)
Simplifying:
m = -7 / 2
Therefore, the slope of the line is -7/2. This means that for every 2 units of horizontal change (right or left), the line decreases by 7 units vertically.

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Stratified Sampling separates the population into nonoverlapping groups. By using specific criteria to split the population, we may use this strategy to draw a proportional random sample from each division.

The population is divided into non-overlapping groups or strata, and a proportional simple random sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. We must choose the number of people to choose from each stratum after the strata have been established. Here, the proportionality of the chosen number is crucial. In order to make the characteristic of interest more homogeneous inside a stratum than between strata, strata are based on information other than the characteristic being measured that is known to or thought to fluctuate with the characteristic of interest. Hence, strata can be defined based on any property that explains variation in the characteristic of interest.

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Option A is correct answer for the given binomial expansion.

i.e. the eighth term of the given expansion is: 720x³y⁷

The process of extending an expression that has been raised to any finite power uses the Binomial Theorem.

An algebraic expression with two different terms is known as a binomial expression.

Formula for finding the general term in binomial expansion:

T(r + 1) = nCr x^(n - r) y^r

According to the given question

We have,

The binomial expansion

Therefore,

The eighth term of the given binomial expansion is given by:

T(7 + 1) = 10C7 x^(10 - 7) y^7

T(8) = 720 x³y⁷

Hence, option A is correct.

i.e. the eighth term of the given expansion is: 720  x³y⁷.

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Answer:

p = 48/11 or 4.36

Step-by-step explanation:

4 + 2p = 10(3/4p - 2)

distribute the 10 on the right side of the equation

4 + 2p = (15/2p - 20)

multiply both sides by 2

8 + 4p = 15p - 40

move the terms

48 = 11p

p = 48/11

(sorry if this question is already answered, brainly is glitching out for me)

Answer:

p=6

I got it right on Kahn Academy

As per the given ratio, the amount of paint is 8 ounces needed is and the amount of sugar it will hold 120 ounces.

In math then term ratio is defined as an ordered pair of numbers a and b, written a / b where b does not equal 0

Here we have given that it takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar.

And then here we have know that they double the dimensions of the box.

Let us consider that the dimension be a.

And as we all know that double the dimensions of the box then dimensions are 2a

Then the ratio of paint and the area of the box remains constant and it can be calculated as,

=> paint / area = 2/x

=> 2/x = 6a² / 6(2a)²

When we simplify this one then we get then x is 8 ounces.

Here we know that the ratio of sugar and the volume of the box remains constant.

Then the sugar volume is calculated as,

=> 15 / X = a³ / (2a)³

When we simplify this then we get the value of x is 120

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The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

A right trapezoid is a quadrilateral that has exactly one pair of perpendicular lines, one pair of parallel sides, and no sides with equal lengths.

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilaterals are trapezium, square, rectangle and so on.

A right trapezoid is a quadrilateral that has exactly one pair of perpendicular lines, one pair of parallel sides, and no sides with equal lengths.

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