estimate the original volume of the pyramid in fig 15.28 given that it's frustum has a 4 m by 4 m squared top which is 12 m vertically above the square base which is 20 m by 20 m (assume that the original problem was raised to a point . Neglect the volume of the entrance of the right of the photograph)​

Treat the,, >, or sign as a = sign when graphing an inequality.

Draw a circle over the number to begin plotting an inequality on a number line, such as x>3 (e.g., 3). The circle should be filled in if the sign also includes equal to (or). Leave the circle blank if the sign doesn't contain the equal to symbol (> or ).

By treating the,, >, or sign as a = sign, the inequality can be shown graphically. Make a dotted line graph of the equation if the inequality is either or. Make a solid line out of the equation if the inequality is either or.

Using a straight line and either an open circle or a closed circle to indicate the end points, we can depict inequalities on a number line by displaying the range of integers. The value is not included, as indicated by the open circle. The value is included, as indicated by the closed circle.

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Answer: $8

Step-by-step explanation:

one adult ticket costs twice as much as one student ticket so

cost of 1 student ticket=x

cost of one adult ticket=2x

total money made=1040

adults+students=1040 so

64(2x)+132(x)=1040

128x+132x=1040

260x=1040

divide both sides by 260

x=4

1 student ticket=$4

1 adult ticket=2x=2(4)=$8

Ike- I went geek sorry..

The amount of snow that falls from time t = 0 to time t = 5 hours is 20(1-e^(-0.5)) inches.

What is integration ?

Integration is the process of finding an antiderivative of a function. An antiderivative of a function is a function whose derivative is equal to the original function. In other words, integration is the reverse process of differentiation. The process of integration can be thought of as the summing of an infinite number of infinitesimal "slices" of the function being integrated, over a given interval. The symbol ∫ is used to denote integration.

The amount of snow that falls between time t = 0 and time t = 5 hours can be found by evaluating the definite integral of the rate of snowfall with respect to time over the interval [0, 5].

∫[0,5] 2e^(-0.1t) dt

The antiderivative of 2e^(-0.1t) with respect to t is -20e^(-0.1t)

Therefore, the definite integral is

-20e^(-0.15) - (-20e^(-0.10))

= -20e^(-0.5) + 20 = 20(1-e^(-0.5))

Therefore, the amount of snow that falls from time t = 0 to time t = 5 hours is 20(1-e^(-0.5)) inches.

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1) Orders between 186 and 187 is zero

2) Common order weight is 183.8.

3) Average is 183.6625

A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item shows in a data set. Dot plots simply show the distribution of the data.

A manufacturing company is shipping a certain number of orders that need to weigh between 184 and 184 pounds in order to ship.

Data is given below;

Arranged in ascending order this would be

183.2, 183.2, 183.3, 183.3, 183.7, 183.7, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.9, 183.9

Min is 183.2 and max is 183.9

1) Orders between 186 and 187 is nil

2) Common order weight is one which is maximum repeated and in this case, the common order weight is 183.8.

3) Average = sum/16

Average = 183.2 + 183.2 + 183.3 + 183.3 + 183.7 + 183.7 + 183.8 + 183.8 + 183.8 +  183.8 + 183.8 + 183.8 + 183.8 + 183.8 + 183.9 + 183.9

Average = 2,938.6/16

Average = 183.6625

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The line y=—x-2 can be seen on the right-hand graph. the expression for m=273. A slope intercept form is one that offers both a gradient and an intercept.

The slope intercept format can be used once you are aware that Y = mx + b. The point-slope form is a way to express an equation for a line by utilizing just a specific point just on line and its slope. You can use the slope intercept equation, y = mx + b, to get the slope, which is defined as the rise over run and represented by the point form (x,y) (0, b). The point-slope form is a way to expression an equation for a line by utilizing just a specific point on the linear and its slope.

Here,

Given:

The line y = 3x - 1 undergoes dilation with such a scale factor of 2.

The lines y = 3x is enlarged and centered by a factor of two (scaling factor).

The chart on the right displays the equation m=273 and the line y=—x-2.

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The balance (future value) on the card after 1 year if interest is calculated:

1. Annually: $124.00

2. Every 6 months: $125.44

3. Every 3 months: $126.25.

The future value represents the present value compounded at an interest rate into the future, using the principle of the time value of money.

The future value can be computed using an online finance calculator.

1. Interest Calculation Annually:

N (# of periods) = 1 year

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $124.00

Total Interest = $24.00

2. Interest Calculation Every 6 months:

N (# of periods) = 2 semi periods (1 year x 2)

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $125.44

Total Interest = $25.44

3. Interest Calculation Every 3 months:

N (# of periods) = 4 quarters (1 year x 4)

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $126.25

Total Interest = $26.25

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Answer:

It looks correct.

Step-by-step explanation:

The other answer choices don't make sense.

Answer:

choice B ( 7/20) is the right answer.

Step-by-step explanation:

If Gavin's mother poured 1 cup of milk in the glass and Gavin drinks 1/5 of the milk, the fraction of the milk that will remain in the glass is (4/5) of 1 cup.

So, B ( 7/20) is the right answer.

It is surprising to some extent when the probability of getting  pre-1982 copper pennies is 6.6 and you get 11 pre-1982 copper pennies.

As with "point" and "time," which we can't exactly define, the concept of "the probability of something" is one of those concepts that is still useful. The ideas in the paragraphs that follow should help you grasp the idea.

Typically, events are the "somethings" for which we consider the probabilities. We might discuss the likelihood that someone in a particular group will develop a specific disease within the next five years, the probability that the number on a die we rolled is 5, the likelihood that it will rain tomorrow, etc.

The pre-1982 copper pennies are 13.2%

That is for every 100 pennies randomly selected there will 13.2  pre-1982 copper pennies,

And for 50 pennies there will be 13.2/2 pre-1982 copper pennies

= 6.6

So the probability of getting a pre-1982 copper pennies from random 50 pennies are 6.6.

Therefore, it is surprising to some extent when the probability of getting  pre-1982 copper pennies is 6.6 and you get 11 pre-1982 copper pennies.

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In the ΔWXY, with the incenter of the triangle being Z.

1. The measure of m∠WYZ = 43°.

2. The measure of m∠WXY = 66°.

3. The measure of m∠YWX = 28°.

4. The measure of m∠ZWX = 14°.

What is an incenter?

The intersection of the triangle's three interior angle bisectors forms the triangle's incenter. Due to the junction point of the central axis being the centre of the triangle's inscribed circle, this point is equally spaced from the sides of a triangle.

In ΔWXY, the incenter of the triangle is Z.

This means that ∠W, ∠Y and ∠X are equally bisected angles.

It is given that the measurement of ∠WYX = 86° and ∠WXZ = 33°

1. The measure of angle ∠WYZ.

The angle ∠WYX is bisected by the line segment YZ.

It forms two angles ∠WYZ and ∠XYZ.

So, the measurement of ∠WYZ = ∠WYX/2

∠WYZ = 86°/2

∠WYZ = 43°

Therefore, the measurement of ∠WYZ = 43°.

2. The measure of angle ∠WXY.

The angle ∠WXY is bisected by the line segment XZ.

It forms two angles ∠WXZ and ∠ZXY.

The measurement of angle ∠WXZ = 33°.

So,  the measurement of ∠WXY = ∠WXZ × 2

∠WXY = 33° × 2

∠WXY = 66°

Therefore, the measurement of ∠WXY = 66°.

3. The measure of angle ∠YWX.

According to the properties of the triangle, the sum of three angles of triangle is 180°.

So, the equation will be -

∠YWX + ∠WXY + ∠XYW = 180°

∠YWX + 66° + 86° = 180°

∠YWX + 152° = 180°

∠YWX = 180° - 152°

∠YWX = 28°

Therefore, the measurement of ∠YWX = 28°.

4. The measure of angle ∠ZWX.

The angle ∠YWX is bisected by the line segment WZ.

It forms two angles ∠YWZ and ∠ZWX.

So, the measurement of ∠ZWX = ∠YWX/2

∠ZWX = 28°/2

∠ZWX = 14°

Therefore, the measurement of ∠ZWX = 14°.

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The graph of the equation x^2-x-2=3 is a parabola which opens downward.

An equation is a mathematical statement that expresses the equality of two expressions. It consists of two expressions separated by an equals sign (=). Equations are used to express relationships between unknowns, knowns, and constants. Equations are used to solve problems and describe the behavior of systems.

The graph intersects the x-axis at two points, x=1 and x=3.

Therefore, the solutions to the equation are x=1 and x=3.

To find an estimate of the solution, we can draw a straight line from the x-axis to the point of intersection on the parabola.

The line intersects the x-axis at a point slightly higher than x=1, so the estimated solution is x=1.5.

This is an approximate solution and is only an estimate. To find the exact solution, the quadratic formula must be used.

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Answer:

Step-by-step explanation:

Step 1: Calculate the slant height of the pyramid.

Slant Height = √(6.9^2 + 8^2) = 10.1 cm

Step 2: Calculate the lateral surface area of the pyramid.

Lateral Surface Area = 4 * (1/2 * 6.9 * 10.1) = 176.5 cm^2

Step 3: Calculate the total surface area of the pyramid.

Total Surface Area = Lateral Surface Area + Base Area

Total Surface Area = 176.5 cm^2 + (1/2 * 6.9 * 8) = 227.7 cm^2

Answer:

18 dollars

Step-by-step explanation:

The easiest way of calculating discount is, in this case, to multiply the normal price $20 by 10 then divide it by one hundred. So, the discount is equal to $2. To calculate the sales price, simply deduct the discount of $2 from the original price $20 then get $18 as the sales price.

Answer:

b = a - 7

Step-by-step explanation:

subtract 7 from both sides of the equation

Answer:

The first one, x+3<16

Step-by-step explanation:

The first one is correct. X represents your friend. In three years, your friend will still not be able to get a license.

Thus, your friend now + three years is STILL LESS THAN SIXTEEN.

X + 3 < 16

That is what that conveys.

Therefore ,As a result, the answer to the provided problem of force is (-26.46i-52.92k) Nm.

It is capable of both pulling and pushing. Unbalanced forces are what lead to acceleration. A force is represented by the Newton (abbreviation is N). One Newton of force is required to change a weight of one kilogram's mobility by one meters per seconds (m/s) per sec. It goes like this: 1 N = 1 kg m/s2 (kg metre / second squared)

Here,

Given: There is a force F occurring at a size of F = 165 N along the parallelepiped's diagonal in this situation.

In order to calculate the force moment F around point A.

MA=rBXF

={(-600) (-88.2i+132.3j+44.1k)}

=(-52920k - 26460i) Nm

=(-26.46i-52.92k) Nm

Therefore , the solution to the given problem of force comes out to be (-26.46i-52.92k) Nm.

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If the acceleration of the object becomes 9m/s², the force will be 24N

From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:

y = k/x

y = force.

x = acceleration

k = constant of proportionality.

k = 36 × 6

k = 216

If the acceleration of the object becomes 9m/s², the force will be:

= 216 / 9

= 24

The force is 24N.

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The other information required while using the intermediate value theorem to show the existence of zero for the polynomial function plotted is

f(x₁) < 0 and f(x₂) > 0

The intermediate value theorem says that if "f" is a continuous function across a closed interval [a, b] with values f(a) and f(b) at its endpoints, then the function takes any value at a point inside the interval that is between the values of f(a) and f(b).

The root of a polynomial is the value of y when x is zero. hence to show that there is a zero between the points x₁ and x₂ there is a need to show there was a change of sign in the output value

Using the graph

At the point of change of sign is the required zero

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The truth of the table here is r → (р ∨ q). Option b

For rows A and E, we must now choose which of the following statements is true:

We must utilize the P -> Q table shown in the figure to ascertain that.

We are aware that only P -> Q will be true if both of P and Q's hypotheses are true. As a result of utilizing that method, we can see that the final solutions only include the transformations q->r and r->q.

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Answer:

Step-by-step explanation:

The tree's shadow at the same time of day was 113.29 foot long.

Foot, plural feet, any of numerous ancient, mediaeval, and modern linear measures (typically 25 to 34 cm) based on the length of the human foot and used only in English-speaking nations, where it typically consists of 12 inches or one-third yard.

The metre, the fundamental linear unit in the metric system, has largely replaced the foot, with its multiples and subdivisions, in most nations and in all scientific applications. In the United States, the definition of a foot as exactly 30.48 cm went into effect in 1959.

We know that

1 feet = 12 inches

So, 5 feet 8 inches = 5[tex]\frac{2}{3}[/tex] feet

Now, lets find the shadow of tree

5[tex]\frac{2}{3}[/tex]/2 = 321/x

x = 113[tex]\frac{5}{11}[/tex]

x = 113.29

Thus, the tree's shadow at the same time of day was 113.29 foot long

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Answer:

x = bottles

y = pail

So, originally the pail had 3.68L from the finished bottle

x+3.68L=y

Then the second equation is after Bill spills 1.2L from the pail, the contents are 3 times that of the bottle

y-1.2L=3x

then played first

so

x-y = -3.68

-3x+y= 1,2

__________+

-2x= -2.48

x=1.24L

So the volume of the bottle is 1.24 L

Pail volume: 1.24+3.68= 4.92L

The radius of the cylinder with a combined volume of 1000 cubic inches is 2.4 inch

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let r represent the radius of the cylinder/cone.

For the cylinder:

Volume = π * radius² * height

but height is twice the radius, height = 2r, hence:

Volume = π * r² * 2r = 2πr³

For the cube:

Volume = side³

but side is four times the radius, side = 4r, hence:

Volume = (4r)³ = 64r³

The combined volume of a cube and a cylinder is 1000 cubic inches, hence:

1000 = 2πr³ +  64r³

r³(2π + 64) = 1000

r³ = 1000/(2π + 64)

r³ = 14.228

r = 2.4 inch

The radius is 2.4 inch

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Answer:

7/28 = 1/4

This is because:

7/28 = 0.25

0.25 = 1/4

Step-by-step explanation:

Hope it helps! =D

Answer:

a) 7

Step-by-step explanation:

Given problem,

→ [ ] ÷ 28 = 1/4

Let us assume that,

→ missing number = x

Forming the equation,

→ x ÷ 28 = 1/4

→ x = (1/4) × 28

→ x = 28/4

→ [ x = 7 ]

Hence, the answer is 7.

In a coordinate plane, a transformation is a function that maps pre-image points (inputs) to image points (outputs).

In (x,y) → (-y,x)

In (x,y) → (x + 4, y - 2)

In(x,y) → (x,-y)

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Answer:

Part A -   Option B   $382.50

Part B -   11 years

Step-by-step explanation:

The formula for simple interest is

[tex]A=P(1+rt)[/tex]

[tex]A[/tex] is the final amount

[tex]P[/tex] is the initial amount

[tex]r[/tex] is the interest rate as a decimal

[tex]t[/tex] is the time

We are given

[tex]P=3000\\r=0.0425[/tex]

Part A

To evaluate the amount of interest we need to use this equation

[tex]I=Prt[/tex]

[tex]I=3000*0.0425*3[/tex]

[tex]I=382.5[/tex]

Part B

We can start with this equation, but we need to solve for [tex]t[/tex].

[tex]A=P(1+rt)[/tex]

Lets solve for [tex]t[/tex].

Divide both sides of the equation by [tex]P[/tex].

[tex]\frac{A}{P} =1+rt[/tex]

Subtract 1 from both sides of the equation.

[tex]\frac{A}{P}-1 =rt[/tex]

Divide both sides of the equation by [tex]r[/tex].

[tex]\frac{\frac{A}{P}}{r}-\frac{1}{r}=t[/tex]

Simplify the first term by multiplying the numerator by the reciprocal of the denominator.

[tex]\frac{A}{Pr} -\frac{1}{r}=t[/tex]

[tex]t=\frac{A}{Pr} -\frac{1}{r}[/tex]

Now we have an equation for time.

Substituting our values into the equation gives us

[tex]t=\frac{4402.50}{3000*0.0425} -\frac{1}{0.0425}[/tex]

[tex]t=11[/tex]

Using Subtraction, Azzata earns $ 10.45 an hour.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

Any subtraction problem has three components: the minuend, which is the part you start with; the subtrahend, which is the part being subtracted; and the difference, which is the part that is left over.

Emily earns $11.15 an hour at the movie theater.

She earns $0.7 more an hour than Azzata

Azzata earns -

⇒ $11.15 - $ 0.7

⇒ $ 10.45

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Parallelograms are all rectangles because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal.

Parallelogram can be defined as a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

There are five important properties of parallelograms such as:

Therefore all rectangles are parallelograms because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal. It abides by all the properties of a parallelogram.

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Answer: y = -1/6x + 1 1/3

Step-by-step explanation: