The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.

Step-by-step explanation:

what is the formula for the area of a triangle ? hmm ?

area = baseline × height / 2

in our case (it does not matter for this question, if it is an isoceles triangle or not, the formula applies to all)

area = sqrt(5) × 1 / 2 = sqrt(5)/2 cm² = 1.118033989... cm²

Answer:

[tex]\huge\boxed{\sf Area = 1.12 \ cm^2}[/tex]

Step-by-step explanation:

Height = h = 1 cm

Base = b = √5 cm

Area = A = ?

[tex]\displaystyle Area = \frac{1}{2}(b)(h)[/tex]

[tex]\displaystyle Area = \frac{1}{2} (\sqrt{5} )(1)\\\\Area = \frac{\sqrt{5} }{2} \\\\Area = 1.12 \ cm^2\\\\\rule[225]{225}{2}[/tex]

Answer:

x≥3

Step-by-step explanation:

Let's solve your inequality step-by-step. 5x−7≥8

Step 1: Add 7 to both sides.

5x−7+7≥8+7

= 5x≥15

Step 2: Divide both sides by 5.

5x/5≥15/5

= x≥3

Since the amount is compounded monthly, the amount would triple after 26 months

Since the money is compounded monthly, we use the compound interest formula

The amount obtained on compound interest is given by A = P(1 + r)ⁿ where

Now, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"

Since A' = P(1 + r)ⁿ where

So, A' = P(1 + r)ⁿ

= 1000(1 + 0.002625)ⁿ

= 1000(1.002625)ⁿ

Also, since $75 is added monthly, after n months, A" = 75n

So, the total amount added is A = A' + A"

= 1000(1.002625)ⁿ + 75n

Since we require the time when the initial amount would triple, so, A = 3A'

= 3 × 1000

= 3000.

So,

A = 1000(1.002625)ⁿ + 75n

3000 = 1000(1.002625)ⁿ + 75n

3000 - 75n = 1000(1.002625)ⁿ

The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)

So, n = 25.736

≅ 26 months

So, the amount would triple after 26 months

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The rate of compounding on the investment is 20%.

What is the rate of compounding?
When an amount compounds annually, it means that both the amount invested and the interest accrued increases in value once a year.

The formula that can be used to determine the rate of compounding is: (FV / PV)^(1 /n)

Where:

(216,000 / 125000)^ (1 / 3) - 1 = 20%

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Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at [tex]y = -\frac{1}{2}[/tex] is given by:

[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

[tex]f(x) = \frac{g(x)}{x - 3}[/tex]

The horizontal asymptote at y = -1/2 means that:

[tex]\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}[/tex]

Which happens if [tex]g(x) = -\frac{x}{2}[/tex], hence the function is:

[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]

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Answer: B'(-4, -4)

Given : A(1, 2), B(-1, -1), C(0, -2)

"Focusing on B coordinates"

If the points are dilated with a scale factor of 4

Then new coordinates : (-1, -1) × 4 = B'(-4, -4)

Answer:

B' = (-4, -4)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

Given:

For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:

Therefore:

A' = (1 x 4, 2 x 4) = (4, 8)

B' = (-1 x 4, -1 x 4) = (-4, -4)

C' = (0 x 4, -2 x 4) = (0, -8)

Answer:

14 rides

Step-by-step explanation:

if she wants to spend less than 35 then we can subtract the initial 6$ fee wich gives her 29$ left and the most 2 can go into 29 is 14 because 14x2 is 28 leaving her with 1 dolar left which means she didnt spend 35$!!

The number of days that Sydney can afford to rent while staying within her budget is 3 days.

Total budget  ≤ (total number of days x cost per day) + (cost per mile x total mile)

$260 ≤ $77.50xx + ($0.10 x 275)

$260 ≤ $77.50xx + 27.50

$260 - 27.50  ≤ $77.50xx

232.50  ≤ $77.50xx

xx  ≤  232.50 / $77.50

xx  ≤ 3

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Answer:

1

Step-by-step explanation:

this is becasue the slope is positive

Answer:

The answer is 4188.79 ft^3.

Step-by-step explanation:

The formula is V=4/3πr^3. The radius is 10, turning that into V=4/3π10^3. 10^3 is 1000, and 1000 times 4/3 is 1333.33. 1333.33 times 3.14 (or π) is equal to 4188.79 ft ^3 rounded to the nearest 100th. I hope this helps! :)

Answer:

b because it can't be full number

The equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

We have:

g₁(x)  which is a transformed function of f(x)

f(x) shifted three units to the left.

Plug x → (x + 3)

g₁(x) = (x + 3)²

Similarly,

Equation for the function whose graph is in the shape of g₁(x), but shifted five units up.

g₂(x) =  (x + 3)² + 5

Equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.

g₃(x) =  -[(x + 3)² + 5]

Thus, the equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

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Randy should begin his homework by 07:10 in order to sleep by 10:00

The given parameters are:

If the above activities are done, the time spent would be:

Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes

Add the time

Time =  2 hour and 50 minutes

He wants to go to bed by 10:00.

So, the time to begin his homework is:

Begin = 10:00 - 2 hour and 50 minutes

Evaluate the difference

Begin = 07:10

Hence, Randy should begin his homework by 07:10

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The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

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The probability that Jake will earn at least 30 points on a throw is 0.335

The attached image represents the missing part of the question.

From the attached image, we can see that:

For Jake to earn at least point, he must hit the three circles (starting from the inner circle)

The radius of the yellow circle is:

Radius = 3

While the width of the other circles is:

Width = 4

The total area of the sections that give a point of at least 30 is:

A₁ = π * (3 + 4 + 4)² = 121π

The total area of all the sections is:

A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π

The probability of getting at least 30 points is:

P(At least 30) = 121π/361π

Evaluate

P(At least 30) = 0.335

Hence, the probability that Jake will earn at least 30 points on a throw is 0.335

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Considering the side length, the area of the complete square flag will be of 256 inches squared.

The area of a square of side length l is given by l squared, that is:

A(l) = l².

In this problem, we have that l = 16 inches, hence the area in square inches is given by:

A(16) = 16² = 256.

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Answer:

Step-by-step explanation:

A” (-2,2)

B” (-1,-2)

C” (-4,-4)

Answer:

A''(-1,5)

B''(0,1)

C''(-3,7)

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates. The correct option is C.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

The meaning of Ro.-90° ry, is that the figure is reflected across the y-axis, and then rotated about the origin by 90° in the clockwise direction, therefore, the figure will again lie in the third quadrant.

Hence, the correct option is C.

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The arrangement of the numbers in the ascending order will be 11, 13, and 17.

The complete question is given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Ali picked a three number from a hat.

The lowest number was 11.

The range was 13.

The median was 17.

The arrangement of the numbers in the ascending order. Then we have,

11, 13, and 17.

The arrangement of the numbers in the ascending order will be 11, 13, and 17.

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The most appropriate if-then statement that the english sentence represents is: B.  If a person is 18 years old or older, then the person can vote in Federal elections.

What is Federal Election?

Federal election can be defined as the way in which a person vote for a preferred.

For a person to be eligible to vote during election, such person must be 18 years old or older.

The if -then statement is:  If a person is 18 years old or older, then the person can vote in Federal elections.

Therefore the correct option is B.

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Answer:

∠TUS I'm pretty sure because t and u make a right angle

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]

where G is a random variable taking on one of two values (male or female).

Answer:

(x + 3)(x - 7)

(x + 1)(x - 2)

Step-by-step explanation:

The general form of factored equations :

y = (x + a)(x + b) [it can be ±, so don't worry about that part]

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

Hence, the expressions which are in factored form :

⇒ (x + 3)(x - 7)

⇒ (x + 1)(x - 2)

Answer:

Step-by-step explanation:

45000+7544644555=x

x=7544689555

Answer:

x = 7544599555

Step-by-step explanation:

First let's make an equation :

7544644555 - x = 45000

Now to make x the subject and positive :

We add x to both sides :

7544644555 = 45000 + x

Now we subtract 45000 from both sides :

7544644555 - 45000 = x

x = 7544599555

Hope this helped and brainliest please

The surface area of the sphere given its volume is  1006.06 cm².

The first step is to determine the radius of the sphere from its volume.

Volume of a sphere = (4/3) x (n) x (r^3)

∛(3000 x 3/4 x 7/22) = 8.95

Surface area of a sphere = 4πr²

4 x 8.95² x 22/7 = 1006.06 cm²

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Answer:229.1

Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy

Answer:

I think the answer is c -2

Step-by-step explanation:

but don't quote me on that and if it's wrong i truly am sorry

Answer:

Step-by-step explanation:

The frame can hold a mirror with an area of 78.5 in².

The area for a circle of diameter D is given by the formula:

[tex]A = pi*(D/2)^2[/tex]

Where pi = 3.14

Here we know that the diameter is 10 inches, replacing that in the area equation we can get:

[tex]A = 3.14*(10in/2)^2 = 3.14(5in)^2 = 78.5 in^2[/tex]

So the frame can hold a mirror with an area of 78.5 in².

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It is in standard form because the exponents are in order from highest to lowest.

The given polynomial is [tex]-24x^{7} -12x^{2} -9x+6[/tex].

We need to determine from the given statements, which statement best describes the given polynomial.

The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form. The standard form of the polynomial is [tex]f(x)=a_{n} x^{n} +a_{n-1} x^{n-1}+a_{n-2} x^{n-2} +........a_{1}x+a_{0}[/tex].

So, in the given polynomial [tex]-24x^{7} -12x^{2} -9x+6[/tex], the exponents of the variable are in decreasing order.

Therefore, it is in standard form because the exponents are in order from highest to lowest.

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If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a height of 4 meters and a radius of 1.5 meters.

Then the approximate radius of a sphere that has the same surface area as the cylinder.

We know that the Surface area of the cylinder will be is given as

Surface area = 2πrh

Surface area = 2 x π x 1.5 x 4

Surface area = 12π square meters

Then we have

Surface area of sphere = surface area of cylinder

                              4πr² = 12π

                                  r² = 3

                                   r = 1.7 meters

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Answer:

2.0 m

Step-by-step explanation:

A. 2.0 m