Mariana read 15 3/4 pages in 3/4 of an hour.

At what rate, in pages per hour, did she
read?

Answer:

sdas

Step-by-step explanation:

The height h, on the other hand, denotes the slant height for oblique cylinders, which is the distance between the two circular bases on a straight line.

Two identical parallel spherical bases and a curving surface connecting the bases make up the three-dimensional geometric object known as a cylinder. It can be compared to a prism with rounded bases.

A line connecting the centres of the circle bases is the axis of a cylinder. The possibility that the axis is straight to the bases determines whether a cylinder is right or oblique.

Diagonal cylinders have bases that aren't perpendicular to the axis while right cylinders have bases that are perpendicular to the axis.

given

Both right and oblique cylinders can be calculated using the surface area of a cylinder formula, A = 2r2 + 2rh.

The height h, on the other hand, denotes the slant height for oblique cylinders, which is the distance between the two circular bases on a straight line.

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The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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Answer:

Because 10 is twice as large as 5.

Step-by-step explanation:

If a two-digit positive integer has its digits reversed ,The one differ with another by 3.

What in math is an integer?

A full number (not a fraction) that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer).

                            Integer examples include: -5, 1, 5, 8, 97, and 3,043. The numbers -1.43, 1 3/4, and 3.14 are examples of non-integer numbers.

The two digit has one at one's place and other at ten's place ;

The no. can be written as the sum of one's place digit and 10 multiplyed to the ten's digit !

For e.g. , We have a no. 36 , in which 6 is at one's place and three is at ten's place

So, 36 = 6 + 10 ( 3 )

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9514 1404 393

Answer:

  (d)  4.2×10^15

Step-by-step explanation:

Your calculator will tell you the quotient is about ...

  4.21348...×10^15

The least precise number in the division is 1.5, which has 2 significant digits. Therefore, the result should be rounded to 2 significant digits:

  4.2×10^15

Answer:

The answer is $450

Step-by-step explanation:

You need to do 150+150+150=450

                          or

150x3=450

Answer: square B

Step-by-step explanation:

look at it from the side to the top side it looks like a square.

Answer:

He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.

Answer:

it means that he was dating another person while already dating

Step-by-step explanation:

it like when ur dating 2 people at one time without the other person knowing

Answer:

Step-by-step explanation:

last one

please give me a brainliest

the answer is I don't know

Answer:

B (1, 8)

C (13, 4)

D (11, -2)

Step-by-step explanation:

ABCD is a rectangle, so it has four right angles.  The equation of BC is 3y + x = 25, or in slope-intercept form, y = -⅓ x + ²⁵/₃.

That means the slope of AB is 3.  So the equation of AB in point-slope form is:

y − 2 = 3 (x − (-1))

Or in slope-intercept form:

y − 2 = 3 (x + 1)

y − 2 = 3x + 3

y = 3x + 5

B is the intersection of these two lines.

3x + 5 = -⅓ x + ²⁵/₃

9x + 15 = -x + 25

10x = 10

x = 1

y = 8

The coordinates of B are (1, 8).

The distance between A and B is:

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((1 − (-1))² + (8 − 2)²)

d = √(2² + 6²)

d = √40

The area of the rectangle is 80 square units, so the distance between B and C is:

A = wh

80 = w√40

w = 80 / √40

w = 80√40 / 40

w = 2√40

In other words, the distance between B and C is double the distance between A and B.  We can use distance formula again to find the coordinates of C, or we can use geometry.

If the right triangle formed by hypotenuse AB is a 2×6 triangle, then the right triangle formed by hypotenuse BC is a 4×12 triangle.

So x = 1 + 12 = 13, and y = 8 − 4 = 4.

The coordinates of C are (13, 4).

Similarly, the coordinates of D are:

x = -1 + 12 = 11

y = 2 − 4 = -2

D (11, -2)

The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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86 ml of dirt will remain after 9 passes

An equation is an expression showing the relationship between numbers and variables.

Let y represent the amount of dirt on the floor after x passes, hence:

y = abˣ

During each pass, 17% of the dirt is removed, therefore b = 100% - 17% = 0.83

If the floor initially has 460.0 ml of dirt, then a = 460.

The equation becomes:

y = 460(0.83)ˣ

After 9 passes:

y = 460(0.83)⁹ = 86

86 ml of dirt will remain

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Answer:

d = 1/5t

Step-by-step explanation:

Since it is a direct variation , Let d represent the distance and t represent the time ,then

d ∝ t

introducing the proportionality constant, we have

d = kt

Substituting t = 10 and d = 2 , we have

2 = 10k

k = 1/5

substitute k = 1/5 into the original equation , we have

d = 1/5t

Step-by-step explanation:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

The mean prior to the given set of numbers would be \(58.8\).

How So?

1. Knowing this, first order the set from least to greatest.

\(22, 35, 44, 63, 63, 71, 80,92\)

2. Then, add up all the values.

\(22+35+44+63+71+80+92=470\)

3. Finally, divide 470 by 8 (the number of values in the set).

\(470\) ÷ \(8 = 58.75\)

4. Round 58.75, leaving you with the following solution:

\(58.75=58.8\) ←Our Final Solution / Mean

______________________________________________

Hope this helps!

Answer:

Ok the answer is 200 feet

Answer:

Option (2). x = 20°

Step-by-step explanation:

In the figure attached,

ΔABC is an equilateral triangle.

By the property of equilateral triangle, all sides of the triangle are equal and measure of all angles of the triangle is 60°.

By this property,

m∠B = 60°

and y = 46 - 16 = 30

By applying Sine rule in ΔBCD,

\(\frac{\text{sin}60}{BD}=\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{DC}\)

\(\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{y}\)

sin(∠CBD) = \(\frac{30\times \text{sin}80}{46}\)

                 = 0.6423

m∠CBD = 39.96

              ≈ 40°

m∠ABD = 60° - 40°

             = 20°

Therefore, Option (2). 20° will be the answer.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

2,799,360

Step-by-step explanation:

12x18x20x9x8x9=2,799,360

Area of complete figure in 1st way  = 288 cm^2

Area of complete figure in 2nd way = 288cm^2

The area of a rectangle of length =l and breadth =b is length times its breadth . General formula of calculating area of rectangle is  length * breadth

In first case we are dividing the figure horizontally

in which there occur an upper small rectangle of l = 12cm and breadth = 9 cm and a big rectangle of L 20cm and B= 9cm

area of 1st rectangle= l*b = 12 * 9 = 108 cm^2

area of 2nd rectangle = L*B = 20 * 9 = 180 cm ^ 2

area of complete figure in 1st way  = area of 1st rectangle + area of 2nd rectangle

                                       = 108 + 180 = 288 cm^2

In second case we are dividing the figure vertically

in which there occur an  small rectangle of l = 8cm and breadth = 9 cm and a big rectangle of L =18cm and B= 12cm

area of 1st rectangle= l*b = 8 * 9 = 72 cm^2

area of 2nd rectangle = L*B = 18 * 12= 216 cm ^ 2

area of complete figure in 2nd way = area of 1st rectangle + area of 2nd rectangle

                                       = 72 + 216 = 288cm^2

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As a result of the price increase, an additional $188.50 was made.

The first step here is to find out the increased revenue that was earned on each bag of popcorn:

= New price - old price

= 3.75 - 3.10

= $0.65

The concession stand sold 290 units so the increased amount that was earned was:

= Incremental revenue x Number of units sold

= 0.65 x 290

= $188.50

In conclusion, an additional $188.50 was made.

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Answer: $188.50

Step-by-step explanation:

290 x 3.10 = $899

290 x 3.75 = $1087.50

1087.5 - 899 = $188.50

The concession stand earned $899 when the bags were $3.10, but because there was an increase in the price, they earn $1087.50               To find how much more money they earn now, subtract the original amount from the new amount. Therefore, the concession stand earns $188.50 more on bags of popcorn.

Answer: 20

Step-by-step explanation:

Hope you will understand

Answer:

Step-by-step explanation:

we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so

30=1.8/t >> t=0,06

Answer:

\(\textsf{1.} \quad y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}\:\:\textsf{ where}\:\:x \geq \dfrac{15-\sqrt{769}}{2}\\\\\quad \textsf{or} \quad y=2\sqrt{x+5}\)

\(\textsf{2.} \quad y=-|x+1|+5\)

Step-by-step explanation:

Method 1 - modelling as a quadratic with restricted domain

Assuming that the points given on the graph are points that the curve passes through, the curve can be modeled as a quadratic with a limited domain.  Please note that as the x-intercept has not been defined on the graph, I am not including this in this first method.

Standard form of a quadratic equation:

\(y=ax^2+bx+c\)

Given points:

Substitute the given points into the equation to create 3 equations:

Equation 1  (-4, 2)

\(\implies a(-4)^2+b(-4)+c=2\)

\(\implies 16a-4b+c=2\)

Equation 2  (-1, 4)

\(\implies a(-1)^2+b(-1)+c=4\)

\(\implies a-b+c=4\)

Equation 3  (4, 6)

\(\implies a(4)^2+b(4)+c=6\)

\(\implies 16a+4b+c=6\)

Subtract Equation 1 from Equation 3 to eliminate variables a and c:

\(\implies (16a+4b+c)-(16a-4b+c)=6-2\)

\(\implies 8b=4\)

\(\implies b=\dfrac{4}{8}\)

\(\implies b=\dfrac{1}{2}\)

Subtract Equation 2 from Equation 3 to eliminate variable c:

\(\implies (16a+4b+c)-(a-b+c)=6-4\)

\(\implies 15a+5b=2\)

\(\implies 15a=2-5b\)

\(\implies a=\dfrac{2-5b}{15}\)

Substitute found value of b into the expression for a and solve for a:

\(\implies a=\dfrac{2-5(\frac{1}{2})}{15}\)

\(\implies a=-\dfrac{1}{30}\)

Substitute found values of a and b into Equation 2 and solve for c:

\(\implies a-b+c=4\)

\(\implies -\dfrac{1}{30}-\dfrac{1}{2}+c=4\)

\(\implies c=\dfrac{68}{15}\)

Therefore, the equation of the graph is:

\(y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}\)

\(\textsf{with the restricted domain}: \quad x \geq \dfrac{15-\sqrt{769}}{2}\)

Method 2 - modelling as a square root function

Assuming that the points given on the graph are points that the curve passes through, and the x-intercept should be included, we can model this curve as a square root function.

Given points:

The parent function is:

\(y=\sqrt{x}\)

Translated 5 units left so that the x-intercept is (0, -5):

\(\implies y=\sqrt{x+5}\)

The curve is stretched vertically, so:

\(\implies y=a\sqrt{x+5} \quad \textsf{(where a is some constant)}\)

To find a, substitute the coordinates of the given points:

\(\implies a\sqrt{-4+5}=2\)

\(\implies a=2\)

\(\implies a\sqrt{-1+5}=4\)

\(\implies 2a=4\)

\(\implies a=2\)

\(\implies a\sqrt{4+5}=6\)

\(\implies 3a=6\)

\(\implies a=2\)

As the value of a is the same for all points, the equation of the line is:

\(y=2\sqrt{x+5}\)

Vertex form of an absolute value function

\(f(x)=a|x-h|+k\)

where:

From inspection of the given graph:

Substitute the given values into the function and solve for a:

\(\implies a|0-(-1)|+5=4\)

\(\implies a+5=4\)

\(\implies a=-1\)

Substituting the given vertex and the found value of a into the function, the equation of the graph is:

\(y=-|x+1|+5\)

Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.7%

Here,

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.69%

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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