Jamie has a table top that he wants to cover in contact paper. The table top has the following dimensions. Length: 3.5 ft. Width: 3.5 ft. Height: 0.25 ft. How many square feet of contact paper does he need to cover the entire table top?

Answer:

3.09

Step-by-step explanation:

check the file attached

Answer:

1. 5x +2

2. 6x/5

Step-by-step explanation:

Answer:

e)times by 10

Step-by-step explanation:

collects like term

?=x

x=460÷46

=10

The vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the parabola is open downwards

From the given parabola

The vertex of the parabola is at (-2, 2)

The vertex of the parabola is defined as the the point at the intersection of the parabola and its line of symmetry.

The line of symmetry is at x = -2

The parabola is open downwards

Hence, the vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the given parabola is open downwards

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Caelan must spend a total cost of $ 17 for 10 bowling games.

The total cost consists in the sum of a fixed cost, represented by rent of shoes, and a variable cost, represented by the number of bowling games, whose model is presented below:

c' = c + r · n

Where:

First, construct the system of equations related to Kai and Jack:

Kai

c + 3 · r = 6.50

Jack

c + 5 · r = 9.50

Second, solve the system of linear equations by numerical methods:

(c, r) = (2, 1.5)

Third, write the resulting function:

c' = 2 + 1.5 · n

Fourth, evaluate the function for the situation of Caelan:

17 = 2 + 1.5 · n

1.5 · n = 15

n = 10

Caelan rents 10 bowling games for $ 17.

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At the rate of variation of 50 days/pound the snake gain 1 pound.

The mathematical expression for the percentage difference change over a predetermined period is called the rate of variation, which also denotes the movement of a variable. It allows us to understand how 2 factors that are changing interact with one another.

A snake takes 25 ÷ 4 days to gain 1 ÷ 8 pounds of weight,

a) Gain 1 pound need take: (25 ÷ 4) × 8 = 50 days

b) In one year = 365 days

= (25 ÷ 4) × (1 ÷ 8)

= (25 ÷ 4) × 8

= 50 days/pound.

So, the snake gained(1 ÷ 50) pounds one day.

In one year: (1 ÷ 50) × 365 = 7.3 pound

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1) Simple interest is $41600, 2) compound interest is $ 43264, 3) Amount at the end of Simple interest is $301600, 4) Amount at the end of Compound interest is $303264, 5) Difference in the amount of simple and compound interest is $ 1664.

Here it is given:

Principle (P) =$ 260000

Time(t) = 2 years

Rate (R) = 8%

1) We have to find the simple interest:

Simple interest(SI) = P× t × R/ 100

                               = 260000× 2× 8/ 100

                               = $41600

2) We have to find Compound Interest

Compound interest(CI) =P( 1 + R/100[tex])^{t}[/tex]- P

                                     = 260000( 1 + 8/100[tex])^{2}[/tex]- 260000

                                     = 260000( 27/25[tex])^{2}[/tex] - 260000

                                     = 303264 - 260000

                                     = $43264

3) Amount at the end of simple interest

Amount = P + SI

             = 260000 + 41600

             =$301600

4) Amount at the end of compound interest

Amount = P + CI

             = 260000+ 43264

             = $303264

5) Difference between the amount at simple interest and compound interest

Difference = 303264 - 301600

                  = $1664

Therefore the simple interest is $41600, the compound interest is $43264, the Amount at the end of simple interest is $ 301600, the amount at the end of the compound interest is $303264, and the difference in the amount of simple interest and compound interest is $1664.

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The required value of the number of sides ( n ) is 17.

What is polygon?

A closed, two-dimensional object composed of straight lines is called a polygon. In most cases, we can quickly determine the polygon's number of sides from its name.

Given, two of the exterior angles of an n-sided polygon are 25° & 26°

So, the sum of exterior angle = 25° + 26° = 51°

three of its interior angles are 161º each

So, each exterior angle = 180° - 161° = 19° .

sum of three exterior angles = 19*3 = 57° .

Then,

Remaining total angles = n - (2 + 3) = (n - 5).

And, the remaining interior angles are 159° each.

So, each exterior angle of the remaining angles = 180° - 159° = 21°.

sum of all (n -5) exterior angles remaining = 21(n - 5) = (21n - 105°) .

Now,

Sum of all exterior angles = 360°

or, 51° + 57° + (21n - 105°) = 360°

or, 21n + 108° - 105°  = 360°

or, 21n + 3° = 360°

or, 21n = 360° - 3°

or, 21n = 357°

or, n = 357/21 = 17

Hence, The required value of n is 17.

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Answer:

Read the given problem, look at the given figure of intersecting lines, and identify the angle given and the unknown angles.

Step-by-step explanation:

Answer:

A=-3,b=1,C=19

Step-by-step explanation:

y-7=3(x+4)

we will just simplify the bracket like this

y-7=3x+12

y=3x+12+7

y=3x+19

y-3x=19

A=-3,b=1,C=19

if u find the answer correct mark as brainliest

Answer:

Exponent: B

Base: A

Scientific Notation: C

Step-by-step explanation:

vocabulary

Answer:

Exponent and A

Base and B

Scientific Notation and C

Step-by-step explanation:

Because the Exponent is the number that is going to raise the Base and that Base is the number that you are going to multiply by.

Answer:

$22,000 at 5%, $10,000 at 11%

Step-by-step explanation:

Let x be the amount invested at 5%.

[tex].05x = .11(32000 - x)[/tex]

[tex].05x = 3520 - .11x[/tex]

[tex].16x = 3520[/tex]

[tex]x = 22000[/tex]

$22,000 at 5%, $10,000 at 11%

Problem 13

Reason:

If a > 0, then the statement would always be true. However, if 'a' was negative, then the statement is false.

For example, if a = -2 then:

[tex]a^{-1} = (-2)^{-1} = \frac{1}{(-2)^1} = -\frac{1}{2} = -0.5[/tex]

In short,

[tex]a^{-1} = -0.5 \ \ \text{ when } a = -2[/tex]

This is one of infinitely many counter-examples to prove the original statement isn't always true.

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

Problem 14

Reason:

The rule to use here is [tex]a^b*a^c = a^{b+c}[/tex]

We add exponents b and c, while the base 'a' stays the same the whole time.

In this problem we have: [tex]3^n*3^{-n} = 3^{n+(-n)} = 3^{n-n} = 3^0 = 1[/tex]

Therefore [tex]3^n*3^{-n} = 1[/tex] is always true regardless of what you replace n with. The variable n doesn't have to be an integer.

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

Problem 15

Reason:

Let's say p = -1 is plugged into the expression

[tex]6^p = 6^{-1} = \frac{1}{6^1} = \frac{1}{6} \approx 0.1667[/tex]

which is a positive outcome showing that [tex]6^p > 0[/tex] doesn't automatically guarantee that p > 0. Feel free to try other negative values as counter-examples. Also p = 0 works as well. It turns out that [tex]6^p[/tex] is always positive regardless of what real number you use for p.

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

Problem 16

Reason:

The rule used here is [tex]a^{-b} = \frac{1}{a^b}[/tex]

An equivalent rule is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^c[/tex]

The idea is to flip the fraction to turn the exponent positive.

Examples: [tex]2^{-5} = \frac{1}{2^5} \ \ \text{ and } \ \ \left(\frac{7}{9}\right)^{-3} = \left(\frac{9}{7}\right)^{3}[/tex]

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

Problem 17

Reason:

This is similar to problem 15 in that [tex]2^m[/tex] is always positive regardless if m is negative, zero, or positive. It might help to graph out [tex]y = 2^x[/tex] and see that the curve never dips below the x axis.

The value of Angle DAF, x is 21°

Given,

Line BC parallel to line DE

The value of Angle ABC = 54°

The value of Angle BAC = 105°

We have to find the value of angle DAF

Here,

Angle DAF = x

Now,

Angle ABC = Angle DAB (Alternate interior angles)

So,

Angle DAB = 54°

Then,

Angle DAF, x = 180 - (105 + 54) (Linear pair of angles)

Linear Pair of Angles;

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

That is,

Angle DAF, x = 180 - 159

Angle DAF, x = 21°

Therefore,

The value of Angle DAF, x is 21°

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To move at 100 km/hour at its end, the length of the minute hand that has an angular velocity of 2·π radians per hour, has to be approximately 15.92 kilometers

Angular velocity is the rate and direction of rotation of a body about an axis.

The required linear speed of the minute hand = 100 km/hour

The formula to convert angular speed to linear speed is presented as follows;

Which gives;

The angular speed of the minute hand = 2·π rad/hour

The required length of the minute hand is therefore;

[tex]r = \dfrac{100 \ km/hour}{2\cdot \pi/hour} = \dfrac{50}{\pi}\, km \approx 15.92 \, km[/tex]

The length of the minute hand that that give a motion of 100 km/hour at the end is approximately 15.92 km

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A. The expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs is 195x

B. The coefficient of the expression in part (a) represents D. The the total amount the animal shelter earns when x dogs are adopted

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, to adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

Therefore, the expression to adopt x dogs will be:

= 80(x) + 65(x) + 50(x)

= 80x + 65x + 50x

= 195x

This is the cost for x dogs.

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Answer:

  227.7 in²

Step-by-step explanation:

You want to know the area that is 30% of a canvas that is 23 inches by 33 inches.

The area of the canvas is the product of its length and width.

  A = LW

  A = (33 in)(23 in) = 759 in²

The rose covers 30% of that area, so an area of ...

  rose = 0.30 × 759 in² = 227.7 in²

The area of the canvas covered by the rose was 227.7 square inches.

If Kelley family went on a tour this afternoon and they bought 4 tickets and 3 pictures. The total cost of the Kelley family's tour is $55.

Given data

Total price =  10t+5p dollars

Where:

t = tickets =4

p = pictures = 3

Now let find the total cost

Total cost =  10t+5p

Total cost = 10(4) + 5(3)

Total cost =40 +15

Total cost =$55

Therefore we can conclude that the total cost is the amount of $55.

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The measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

We have been given the measure of each side of an equilateral triangle whose area is √3 cm².

Let the measure of each side would be "a"

We know that,

Area of an equilateral triangle = √3a² / 4

As per the question,

⇒ √3 cm²= √3a² / 4

⇒ √3a² = 4√3 / √3

⇒ a² = 4 = √4

⇒ a = 2 cm

Thus, the measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.

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Part A:because the data points are far away from each other.

Part B: A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

What is Correlation Coefficient?

Correlation coefficient, r, is quantitative measure that measures the extent to which two variables are associated.

The closer the data points are on a scatter plot, the closer the value of r is to 1 or -1.

Part A:

The data points in the scatter plot are farther apart and the trend slopes upwards to the right, this means that the correlation coefficient, r, would be positive but very low.

Thus, based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.

Part B:

A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

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The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.

The equation that represents the total cost of peaches and apricots is:

Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)

$5 = ($0.85 x p) + ($0.55 x a)

Total cost of buying 1 peach and 8 apricots:

($0.85 x 1) + ($0.55 x 8) = $5.25

Total cost of buying 2 peaches and 5 apricots:

($0.85 x 2) + ($0.55 x 5) = $4.45

Total cost of buying 3 peaches and 7 apricots:

($0.85 x 3) + ($0.55 x 7) = $6.40

Total cost of buying 4 peaches and 3 apricots:

($0.85 x 4) + ($0.55 x 3) = $5.05

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For the equation A=s² for s. Assume s > 0, then s = [tex]\sqrt{A}[/tex].

What are squares and square roots?

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.

For the given equation, A = s², we have to find the value of s.

thus, taking the square root on both sides, we get

                                     s = [tex]\sqrt{A}[/tex].

Hence, the value of s = [tex]\sqrt{A}[/tex].

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Answer:

Her piggy bank can hold 720 pennies.

Step-by-step explanation:

1/2= 3/6, and 2/3=4/6, meaning the difference of 1/6=120 pennies. 120x6=720.

Answer :

9 girls and 18 boys don't have a voucher

Step-by-step explanation :

There are 38 boys and 22 girls.  The total number of children is 60.  We know that 33 children have a voucher.  27 children don't have a voucher. ( 60 - 33 = 27 ) .

"Twice as many boys as girls do not have a voucher."

We can now make an equation.

The girls who do not have a voucher will be x, boys who don't have a voucher will be 2x, since it says twice as many boys.

We can now make our equation.

x + 2x = 27

Add x and 2x

3x = 27

Divide both sides by 3

x = 9

We know now that girls who don't have a voucher is 9.

The boys who don't have a voucher is 2x, so we plug 9 instead of x.

2(9) = 18.

18 boys do not have a voucher.

If you would like the rest for the frequency tree...

Total students : 60

Boys : 38

Boys who don't have a voucher : 18

Boys who have a voucher : 20

Girls : 22

Girls who don't have a voucher : 9

Girls who have a voucher : 13

Hope this helped.

Answer:

6666667

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

the equation is a^2+b^2=c^2

7^2=49

24^2=576

49+576=625

the square root of 625 is 25