Credit card A has an APR of 22% and an annual fee. All else being equal, at about what balance will the cards offer the same deal over the course of a year? (Assume all interest is compounded monthly)

The van Hiele theory describes how young people in schools learn geometry.

Van Hiele theory postulates five levels of geometric thinking which are visualization, analysis, abstraction, formal deduction, and rigor. The levels use their own language and symbols

Analysis: At this level, students start analyzing and naming the properties of geometric figures.

Informal deduction: At this level pupils or students perceive relationships between properties and figures.

Deduction: At this level, students can give deductive geometric proofs. They are able to differentiate between necessary and sufficient conditions.

An equilateral triangle has all sides equal. In an isosceles triangle, two sides are the same length. In a scalene triangle, none of the sides are the same length.

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Answer:

[tex]\tan \dfrac{\theta}2 = \dfrac{1}2[/tex]

Step by step Explanation:

[tex]\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right][/tex]

         [tex]=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2[/tex]

Answer:

Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area

Answer:

[tex]x=4,\:x=-2[/tex]

Step-by-step explanation:

Both equations are equal to y, so we can simply set them equal to each other and solve for x:

[tex]x^2-5=2x+3\\\\x^2-8=2x\\\\x^2-2x-8=0\\\\(x-4)(x+2)=0\\\\x=4,\:x=-2[/tex]

The point (3, -4) lie on the line y + 4 = 4(x - 3) because the point (3,-4) satisfy the line option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have an equation of a line:

y + 4 = 4(x - 3)

A (3,-4)  

Plug the above points in the equation of the line.

-4 + 4 = 4(3 -3)

0 = 0    (true)

The point lies on the line

Similarly checking for others points we will find that points (2,9), (0,0) , (1,-11), (1,11), and (-2, 3) does not lie on the line y + 4 = 4(x - 3)

Thus, the point (3, -4) lie on the line y + 4 = 4(x - 3) because the point (3,-4) satisfy the line option (A) is correct.

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Answer:

(5*10^3)*(9*10^7) = 4.5*10^11

(7*10^5) / (2*10^2) = 3.5*10^3

Step-by-step explanation:

calculate 5 multiply by 9

5*9=45

the multiple of the power in the same base of number is calculated by using addition(+)

(10^3)*(10^7) = 10^(3+7)

= 10^10

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

45*(10^10)

= (4.5*10^1) * (10^10)

= 4.5*10^(1+10)

= 4.5*10^11

calculate 7 divide by 2

7/2=3.5

the dividing of the power in the same base of number is calculated by using subtraction(-)

(10^5)/(10^2)

= 10^(5-2)

= 10^3

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

3.5*10^3

Answer:

Step-by-step explanation:

(5×10³)×(9×10⁷)

= 5×10³×9×10⁷

= 5×9×10³×10⁷      (commutative property)

= (5×9)×(10³×10⁷)  (associative property)

= 45 × 10³⁺⁷

= 45 × 10¹⁰.           (Exponent property)

= 4.5 × 10¹¹

…………………………………………

(7×10⁵) / (2×10²)

= (7/2) × (10⁵/10²)

= 3.5 × 10⁵⁻²

= 3.5 × 10³

Volume

Volume of orange juice

Answer:

101.0 in³ = 1.656 liters

Step-by-step explanation:

Formulas

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

[tex]\textsf{Diameter of a circle}=2r \quad\textsf{(where r is the radius)}[/tex]

Given dimensions of cylinder:

First, calculate the radius by halving the diameter:

[tex]\implies \textsf{Radius }(r)=4 \div 2=2\: \sf inches[/tex]

Substitute the given values into the formula to find the volume of the cup:

[tex]\begin{aligned}\textsf{Volume of a cylinder} & = \pi r^2h\\ \implies \textsf{Volume of the cup} & = \pi \cdot (2)^2 \cdot 12\\& = \pi \cdot 4 \cdot 12\\& = 48\pi \sf \:\:in^3 \end{aligned}[/tex]

The cup is filled with orange juice that occupies 67% of the cup.  To find the volume of orange juice in the cup, multiply the found volume of the cup by 67%:

[tex]\begin{aligned}\implies\textsf{Volume of orange juice} & = 67\% \textsf{ of }48 \pi \\\\& = \dfrac{67}{100} \cdot 48 \pi \\\\& = \dfrac{3216}{100} \pi \\\\& = 101.0336197...\\\\& = 101.0\:\: \sf in^3\:(nearest\:tenth) \end{aligned}[/tex]

Liquid is usually measured in liters.  

To convert cubic inches to liters, multiply by 0.016387064:

[tex]\implies \sf 101.0336197...in^3 \times 0.016387064 = 1.656 \: liters\:(3\:dp)[/tex]

The sample space is 52 while the probability of drawing a red card is 13/28.

The term probability has to do with the probability that an event will occur or not. The probability must have values between 0 - 1.

The sample space refers to all possible outcomes and this is 52. The probability of drawing a red card = 26/52 = 13/28.

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Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the equation [tex]\large\pmb{39y=4y+11}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

First, subtract 4 from both sides of the equal sign:

[tex]\pmb{39y-4y=11}[/tex]

Which gives us:

[tex]\pmb{35y=11}[/tex]

Divide both sides by 35:

[tex]\pmb{\cfrac{35}{11}}[/tex]

Hope it helps you out! :D

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~Just a smiley person helping fellow students :)

Answer:

1203.6 ---- the six is recurring ( .666666...)

Step-by-step explanation:

volume of hemisphere= [tex]\frac{2}{3}[/tex] x 3.14 x r^3

volume of cylinder= 3.14 x r^3 x h

1. Volume of hemisphere= 2/3 x 3.14 x 5^3 = 261.6 recurring

2. volume of cylinder = 3.14 x 5^2 x12 = 942

3. add the two together -----------> 1203.6

Answer:

352

Step-by-step explanation:

it repeated more than once

Answer:

pretty sure its b

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

No answer

Step-by-step explanation:

I'm just a smart guy

Answer:

324

Step-by-step explanation:

Formula: [tex]a_{n} =a_{1} +(n-1)d[/tex]

=> [tex]a_{46} =9_{1} +(n-1)7\\[/tex]

          = [tex]9_{1} +(46-1)7\\[/tex]

          = [tex]9+(45)7\\[/tex]

          = [tex]9+315[/tex]

          = [tex]324[/tex]

:D

g(x) = ¹/₂f(x - 2) -------> y-intercept at (0, - ¹/₂)

h(x) = f(x - ¹/₂) ------->  x-intercept at (1.5, 0)

j(x) = f(x) - ¹/₂ ------->  vertical asymptote at x = 0

m(x) = function decreases as x increases

We are given the function;

f(x) = In (x)

Now, from the given tiles and when we punch the respective values for the given functions, we can say that;

g(x) = ¹/₂f(x - 2) -------> y-intercept at (0, - ¹/₂)

h(x) = f(x - ¹/₂) ------->  x-intercept at (1.5, 0)

j(x) = f(x) - ¹/₂ ------->  vertical asymptote at x = 0

m(x) = function decreases as x increases

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answer 2/3

check the attachments for more info

hope it helps :)

The functions f(x) and g(x) are equal for the x = 2/3

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, are two functions, f(x) = -3x + 4 and g(x) = 2, we need to find the value of x for which both are equal,

So,  

For f(x) = g(x) we should equate the two functions to get the value of x.

f(x) = g(x)

-3x + 4 =  2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

(-3x)/-3 = (-2)/-3

x = 2/3

Hence, the  functions f(x) and g(x) are equal for the x = 2/3

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Answer:

Step-by-step explanation:

If a line is parallel to another it must have the same slope

The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept

The line y = 2x + 5 has slope 2

So the slope of the line that passes through (2,3) must also have the slope 2

We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1

Hence the equation of the line is
y = 2x -1

Cross-check

Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent

Answer:

$647,673

Step-by-step explanation:

Since each lawn is $39 to mow, you would multiply 16,607 by 39 and you would get $647,673.

By finding the value between consecutive tick marks, we will see that:

1) x = 20

2) x = 48

3) x = 9.5

We know that each tick mark are equally spaced in the number lines below.

If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:

4 + 4*T = 12

4*T = 12 - 4 = 8

T = 8/4 = 2

Each tick values 2 units.

Between the 12 and the x there are 4 ticks, then:

x = 12 + 4*2 = 20

Now let's look at the second number line. There are 10 ticks between 25 and 140, then:

25 + 10*T = 140

10*T = 140 - 25 = 115

T = 115/10 = 11.5

And there are 2 ticks between 25 and the x, so:

x = 25 + 2*T = 25 + 2*11.5 = 48

x = 48.

Now the final number line. There are 8 ticks between 10 and 12, then:

10 + 8*T = 12

8*T = 12 - 10 = 2

T = 2/8 = 1/4 = 0.25

Now, the x is 2 ticks before the 10, then we have:

x = 10 - 2*T = 10 - 2*0.25 = 9.5

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Let's solve

Multiply- on both sides

Multiply 24 on boths sides

Solution set

Answer:

Step-by-step explanation:

Given inequality:

[tex]\sf \dfrac{h}{-24} < 18[/tex]

Eliminate the denominator of the fraction by multiplying both sides by -24, remembering to flip the relation (inequality symbol) as the factor is negative.

[tex]\implies \sf \dfrac{h}{-24} \cdot -24 > 18 \cdot -24[/tex]

[tex]\implies \sf h > -432[/tex]

Therefore, the solution is [tex]\sf h > -432[/tex]

P(A | B) is 2/10 = 0.2.

P(A | B) means the probability that a students pays both basketball and football. It is the intersection of both circles on the venn diagram.

P(A | B) = number of students that play both games / total number of students

2/10 = 0.2

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Answer:

 Numbers are 5 , 7

Step-by-step explanation:

  Let the two consecutive odd numbers be (2x + 1) and (2x + 3)

         Their product = 35

(2x + 1)(2x + 3) = 35

Use FOIL method.

       2x*2x + 2x*3  + 1*2x + 1*3 = 35

              4x² + 6x  + 2x + 3       = 35

      Combine like terms

                            4x² + 8x  + 3    = 35

                         4x² + 8x + 3 - 35 = 0

                            4x² + 8x  - 32   = 0

 Solving:

                 4x² + 8x - 32 = 0

Divide the entire equation by 2

                [tex]\sf \dfrac{4}{2}x^2 +\dfrac{8}{2}x - \dfrac{32}{2}=0[/tex]

                  2x² + 4x - 16 = 0

Sum = 4

Product = -32

Factors = 8 , (-4)

When we multiply 8*(-4) = -32 and when we add 8 + (-4) = 4.

Rewrite the middle term

2x² + 8x - 4x  - 16 = 0

 2x(x + 4) - 4(x + 4) = 0

   (x + 4) (2x - 4) = 0

2x - 4 = 0   {Ignore x +4 = 0  as it gives negative number}

2x = 4

   x = 4/2

   x= 2

2x + 1 = 2*2 + 1 = 5

2x + 3 = 2*2 +3 = 7

   The numbers are 5 , 7

[tex]~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13[/tex]

Answer:

not taking action

Step-by-step explanation:

because it is talking about how beautiful the gardens are and it could be said like this, "It makes the neighborhood more beautiful. There can be not taking action about that."

to get the equation of any straight line, we simply need two points off of it, let's use the ones in the table.

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -1&-10\\ 3&14\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{(-10)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{14 +10}{3 +1}\implies \cfrac{24}{4}\implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{6}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+10=6(x+1)\implies y+10=6x+6\implies y=6x-4[/tex]

Answer:

1

2

2

Step-by-step explanation:

The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

The expression is given as:

x^3 + 4x^2 +5x + 20

Group the expression into two

(x^3 + 4x^2) + (5x + 20)

Factorize each group

x^2(x + 4) + 5(x + 4)

Factor out x + 4

(x^2 + 5)(x + 4)

Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

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