Boxes of Valentine’s Day chocolate truffles come in a variety of sizes. The dimensions of the box you decided to purchase are 15 inches by 12 inches by 1.5 inches. If each truffle in this box has a volume of 2 cubic inches, how many truffles are included in the box?

The addition property used by Bill in finding the actual December temperature is the commutative property of addition.

According to the question,

We have the following information:

Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.

We know that are five properties of addition: closure property, commutative property, associative property, additive identity property of addition and additive inverse property.

The commutative property of addition means that if two numbers are added and their order is inversed then  the result of addition will always be the same.

For example, we get -2 by adding -5+3 and 3+(-5). The change in order of digits does not affect the final result.

Hence, the addition property used by Bill in finding the actual December temperature is the commutative property of addition.

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The actual end-of-year payment or present value of this ordinary annuity is equal to $1,482.

For the rate of interest, we have:

Rate of interest, r = APR/12

Rate of interest, r = 0.12/12

Rate of interest, r = 0.01

Next, we would calculate the present value of this ordinary annuity by using this formula:

Present value, PV = [P ÷ [1 - (1 + r)^{-n}]/r]

Where:

Substituting the given parameters into the formula, we have;

Present value, PV = 4,500 ÷ ((1 - (1 + 0.12)^(-4))/(0.12))

Present value, PV = 4,500 ÷ ((1 - (1.12)^(-4))/(0.12))

Present value, PV = 4,500 ÷ ((1 - 0.635518078)/(0.12))

Present value, PV = 4,500 ÷ ((0.364481922)/(0.12))

Present value, PV = 4,500/3.0373

Present value, PV = $1,481.58 ≈ $1,482.

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The missing side length of  triangle XYZ is 7.

Given,

Triangle ABC and triangle XYZ are similar.

Length of AB = 4

Length of BC = 8

Length of AC = x

Length of XY = 24

Length of YZ = 48

Length of XZ = 42

We have to find the missing length x.

Here,

Triangle ABC and triangle XYZ are similar.

So,

AB : XY = BC : YZ = AC : XZ

Then,

Take AB : XY = AC : XZ

= 4 : 24 = x : 42

= 4 × 42 = 24x

x = 4 × 42 / 24

x = 42/6

x = 7

That is,

The missing side length of  triangle XYZ is 7.

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The estimate for the number of times Ryan should expect the spinner to land on 2 is 13.

From the information, the spanner has numbers labeled 1 - 6 and Ryan is going to spin the spinner 80 times.

It should be noted that the fraction for getting a 2 is 1 out of 6. This will be 1/6.

Therefore, when it's spinned 80 times, the expected number will be:

= 1/6 × 80

= 13

The number of times is 13.

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Complete question

A spanner has numbers labeled 1 - 6. Ryan is going to spin the spinner 80 times. Work out an estimate for the number of times he should expect the spinner to land on 2

The simplification of the complex fraction is found as 11/14.

For the given question, the expression is-

-2/7  +  1 1/3​

To convert mixed fraction 1 1/3​ i improper fraction, multiply 3 with 1 and add 1.

1 1/3​  = 1 x 3 + 1 /3

1 1/3​  = 4/3 Put in main equation.

-2/7  +  4/3

Simplify the expression.

= -2 x 3 + 4 x 7/ (7 x 4)

= -6 + 28 / 28

= 22/28

Divide both with 2

= 11/14

Thus, the simplification of the complex fraction is found as 11/14.

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The correct question is

Simplify the complex fraction.  

-2/7 + 1 1/3​

The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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Work Shown:

4x + 13 ≥ 27

4x + 13-13 ≥ 27-13

4x ≥ 14

4x/4 ≥ 14/4

x ≥ 7/2

The inequality sign stays the same for each step. The inequality sign only flips if we were to multiply both sides by a negative number (or divide both sides by a negative number).

Note: 7/2 = 3.5

Answer:

-----------------------------

A and C are congruent angles opposite to congruent sides of the isosceles triangle.

Find the measure of ∠A

Answer:

The angle A is 55°.

Step-by-step explanation:

We know that,

→ <A = <C

Now the value of x will be,

→ 3x + 40 = x + 50

→ 3x - x = 50 - 40

→ 2x = 10

→ x = 10/2

→ [ x = 5 ]

Then the value of m<A is,

→ A = 3x + 40

→ A = 3(5) + 40

→ A = 15 + 40

→ [ A = 55° ]

Hence, the answer is 55°.

The value of P(1.17 <= Z <= 2.26 ) is 0.1091

From the question, we have

Z value for 1.17 is 0.8790

Z value for 2.26 is 0.9881

P(1.17 <= Z <= 2.26 ) = 0.9881 - 0.8790 = 0.1091

Probability:

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

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Step-by-step explanation:

please remember you middle school and high school classes, homework and exams.

here on college level this is just meant as a quick reminder.

so, what exactly don't you understand, please, so that I can provide specific guidance ?

6

the vertex : the turn-around point, where the parabola curve changes its tendency : (-3, 0.5)

axis of symmetry : since the parabola opens downwards, the axis of symmetry (it is like a mirror for one half of the curve to the other half) is a vertical line going right through the vertex : x = -3

y-intercept is the y-value when x = 0 : (0, -4)

x-intercepts are the x-values when y = 0 :

(-4, 0) and (-2, 0)

max or min : there is only one identifiable extreme value, it is at the vertex, of course, and is clearly a maximum :

at x = -3 the max value of the function is 0.5

the optimal value is the y-coordinate of the vertex (the function value between the 2 x-intercepts) : 0.5

4

y = 0.5x + 6 is linear. why ? because the highest exponent of x is 1. that creates a proportional relationship between x and y meaning y only increases with x in a constant manner.

y = 2x² + 5 is quadratic. why ? because the highest exponent of x is 2. this squares things, in other words, it makes them quadratic.

the graph as third item in the list is neither. the functional value gets exponentially bigger, the closer x gets to 0.

this looks like y = -1/x = x^(-1)

the graph as forth item in the list is a parabola again, and as such it is quadratic.

Answer:

(2x+6) = (x+9) ; x = 3

Step-by-step explanation:

-x both sides ; 2x-x = x and -6 both sides which is x = 3

The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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Answer:

[tex]y=x+1[/tex]

Step-by-step explanation:

I am assuming that, given the nature of the curve, you know what a derivative is, and you know how to compute the derivative of the ratio of two functions.

[tex]f'(x) = \frac1{(\sqrt x)^2}[(2x+0)\sqrt x-(x^2+1)(\frac1{2\sqrt x})][/tex]

Could be rewritten in a nicer form? Probably, do we care? No, let's just evaluate it for [tex]x=1[/tex]:

[tex]f'(1)=\frac11 [(2)(1)-(1+1)\frac12]=1[2-1]=1[/tex]

We're almost done. We got the point, we have the slope, we can rewrite the tangent line as

[tex]y-y_0=f'(x_0)(x-x_0)\\y-2=1(x-1) \rightarrow y=x+1[/tex]

Answer:

1

Step-by-step explanation:

We don't even need to calculate 3 x 2.6 considering any number raised to the power of zero equals 1.

Answer:

B

Step-by-step explanation:

The weight of Luna is 82 pounds , the correct option is (d) .

In the question ,

it is given that

Kira has three dogs Luna , Cooper and Daisy .

let the weight of cooper be c .

given Cooper weighs 25 pounds less than Daisy

which is c = daisy - 25

So , daisy = c + 25

and Luna weighs 20 pounds less than three times Cooper ,

which is Luna = 3c - 20

Given the combined weight is = 175 pounds

Cooper + Daisy + Luna = 175

c + c + 25 + 3c - 20 = 175

5c + 5 = 175

5c = 175 - 5

5c = 170

c = 170/5

c = 34

So, Luna = 3c - 20 = 102 - 20 = 82 pounds .

Therefore , The weight of Luna is 82 pounds .

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By assuming that the initial height of the rocket is the ground, we will get the height equation:

H(t) = -16*t^2 + 235*t

The height equation for any object near the surface of the heart that is not being subject to any other forces than the gravitational one is:

H(t) = -16*t^2 + v*t + h

Where:

t represents the time in seconds.

the first coefficient -16 is half of the gravitational acceleration in feet over squared seconds.

v is the initial velocity, which in this case is 235 ft/s

h is the initial height, in this case we assume is zero (the rocket is launched from the ground)

Replacing all that in the height equation, we will get:

H(t) = -16*t^2 + 235*t

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Equation of the line is y = 3/2x + 3.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The "slope-intercept" form is one of the most popular methods. It is so named because it makes the slope and y-intercept of the equations in the equation more clear. The number that is placed before the x is the slope.

Given,

Slope intercept form:

Formula:

y = mx + b

Where m = slope

2y - 3x = 6

2y = 6 + 3x

Equation:

y = 3 + 3/2x

y = 3/2x + 3

Equation of the line is y = 3/2x + 3.

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The expression as power is written as 2¹⁰ and 2^9

The values are

power or exponents as used in mathematics are number written on top of a base number. The power says how many times the base nmber multiplies itself.

8• 2^7

= 2 * 2 * 2 * 2^7

= 2^10

= 1024

16•32

2^5 = 2 * 2 * 2 * 2 * 2

2^4 = 2 * 2 * 2 * 2

16•32 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 2^9

= 512

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Answer:  $4x4x

Step-by-step explanation:

Answer:

$22,106.28

Step-by-step explanation:

[tex]CI=P(1+(\frac{r}{12}) )^{12t}[/tex], where [tex]P[/tex] is the principal, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the time in years.

[tex]CI=\$11000.00(1+(\frac{0.07}{12}) )^{12(10)}[/tex]

[tex]CI=\$22106.28[/tex]

Answer: v=2.33333333333333.........

Step-by-step explanation: What you would want to do is divide both sides by -1/3 and that would get you v=2.333333.......

The two blanks on the left side of the equation and the solution blank should be completed with the following ratios:

2050 kg/1 m³ × 2.2 lb/1 kg × 1 m³/35.3 ft³ = 127.76 lb/ft³.

In Mathematics, a conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal unit of value must be chosen and used when it is necessary to perform any mathematical conversion.

Conversion:

2050 kg/1 m³ × 2.2 lb/1 kg = 4,510 lb/1 m³

4,510 lb/1 m³ × 1 m³/35.3 ft³ = 4,510 lb/35.3 ft³

4,510 lb/35.3 ft³ = 127.76 lb/ft³.

Additionally, take note of the following units of conversion:

In conclusion, we can logically deduce that the crate's density is equal to 127.76 pounds per cubic foot.

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Answer:

0

Step-by-step explanation:

to me you use the exponent first and then add the variable after, 30-30=0 and if you do the variable first 225-30=195. But my answer would be 0.

Answer: 78

Step-by-step explanation:

3z2-6z for z=5

Gabriel owns a stack of nickels which is 2 inches tall and thickness of each nickel is 0.08 inch then number of nickels with Gabriel is equal to 25.

As given in the question,

Gabriel has 2 inches tall stack of nickel

Thickness of each nickel = 0.08inch.

Let 'n' be the number of nickels Gabriel has .

Required equation to get the number of nickel is equal to :

0.08 × n = 2

⇒ n = 2 / 0.08

⇒ n = 200/ 8

⇒ n = 25

Therefore,  Gabriel owns a stack of nickels which is 2 inches tall and thickness of each nickel is 0.08 inch then number of nickels with Gabriel is equal to 25.

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Answer 0.04

Step-by-step explanation:

because 0.08 divided by two is 0.04

For the given system of linear equations 6x-12y = -7 and 2x + ky = 14 the value of k for which linear equations are inconsistent is k= -4.

As given in the question,

Given system of linear equations are as follow:

6x-12y = -7           ____(1)

2x + ky = 14         _____(2)

Form equation (1)  we have,

6x -12y = -7

⇒3 ( 2x -4y) = -7

⇒ 2x - 4y = -7 /3       ____(3)

From equation (2) and (3) we have,

2x + ky = 14

2x - 4y = - 7/3

Value of k so that the given system of equations are inconsistent is given by:

k = -4

For inconsistent there is no solution.

Therefore, for the given system of linear equations 6x-12y = -7 and 2x + ky = 14 the value of k for which linear equations are inconsistent is  k= -4.

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According to the scatter plot provided, the weight for someone who is 1.5 meters tall is predicted to be 45.45 kilograms.

A line of best fit is also referred to as a trend line and it can be defined as a statistical and analytical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the weight (in kilogram) would be plotted on the y-axis of the scatter plot while the height (M) would be plotted on the x-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between data points in the table, a linear function for the line of best fit is given by:

Weight, kg = -114.3 + 106.5M

When M = 1.5 meters, we have:

Weight, kg = -114.3 + 106.5(1.5)

Weight, kg = -114.3 + 159.75

Weight, kg = 45.45 kg.

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Complete Question:

According to the graph provided, the weight for someone who is 1.5 meters tall is predicted to be ____ kilograms.

The constant of proportionality in the equation y = 11x is  11 , the correct option is (a) .

in the question ,

it is given that

the equation is y = 11x

also given that the equation is proportional relationship ,

we need to find constant of proportionality .

we know that the proportional equation is written as y = k*x

where k is the constant of proportionality , on comparing it with the equation y = 11x

, we get k = 11 ,

So , the constant of proportionality is = 11 .

Therefore , The constant of proportionality in the equation y = 11x is  11 .

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Answer:

Step-by-step explanation:

87

99

128