Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.

A triangle is said to be acute if the sum of the squares of its two shorter sides is greater than the square of its longest side.

Less than 90 degree angles are considered acute. Right angles have a 90 degree angle. Angles that are obtuse exceed 90 degrees.

See samples of various angles and learn about them. If and only if side lengths a, b, and c satisfy a2 + b = c2, a right triangle will be formed. These numbers are referred to as a Pythagorean triple. When the square of a triangle's longest side equals the sum of the squares of its other two sides, the triangle is said to be a right triangle. So, in the ABC equation, if c2=a2+b2, then C is a right triangle, with PQR serving as the right angle.

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Area of the pond is 86.625 m²

Given data :

Diameter of the pond = 14m

Radius of the inner circle (pond), r = 7 m

Width of the concrete path = 1.75m

Radius of outer circle (Including pond + Path), R = 7 + 1.75 = 8.75 m

Area of the path = Area of the outer circle − Area of the inner circle.

= πR² - πr²

= 22 / 7 x ( 8.75 + 7) ( 8.75 − 7 )

= 86.625 m²

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Answer:

139⁰

Step-by-step explanation:

since g and h are parallel

then n= 139⁰ (corresponding angles)

We will plot the graph for a LN function by keeping in mind that the domain must be greater than 0.

LN means natural logarithm. LN function denotes natural logarithm function. It has also another name, logarithm of base e.

It is expressed as

y = ㏑x that is the inverse of                            

the natural base exponential function

y = ex

If we have a logarithm function, f(x) = y = ln x

while plotting with the above function, ln x can be found for only the positive value of x and there is no value of ln x for negative values.

The properties of the graph of the LN function are following.

The domain of the LN function is only the real numbers that means x > 0.

The ranges of the LN function are all real number.

The coordinate of x intercept of the LN function is (1, 0).

The graph of LN function will be such that it will never touch the Y axis although it always approaches to it.

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Answer:

y + 7 = -(x - 7)

Step-by-step explanation:

point slope is written in the form y - y₁ = m(x - x₁)

substitute -1 for m, 7 for x₁ and -7 for y₁

Answer:

The correct answer is 0 or choice A on edge

Step-by-step explanation:

right on edge

Therefore, value of r(x) as x approaches Infinity : zero

[tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]

"A function is a special relationship where for each input and their is single outputs."

"Limit is defined as the value that a function approaches for the given input value."

For given situation,

We have been given a function,

r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction

We can rewrite it as,

[tex]r(x)= \frac{ax^b+8}{cx^d}[/tex] , where a, b, c, and d are positive integers and b < d.

We need to find the value of r(x) approach as x approaches Infinity.

This means, we need to find the value of the limit [tex]\lim_{x \to \infty} r(x)[/tex]

Now, we find the value of limit for given function.

[tex]\lim_{x \to \infty} r(x)[/tex]

=  [tex]\lim_{x \to \infty} \frac{ax^b+8}{cx^d}[/tex]

= [tex]\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})[/tex]

= [tex]\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}[/tex]                          ...............(since d > b)

= [tex]0 + 0[/tex]

= [tex]0[/tex]

Therefore, [tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]

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Answer:

-2 and -7

Step-by-step explanation:

This problem is about using the Factoring X.

Two numbers will multiply to the number placed at the top. These same two numbers will add to the value placed on the bottom.

Let's look at the factors of 14.

1 • 14 = 14

2 • 7 = 14

Now let's look at their sums.

1 + 14 = 15

2 + 7 = 9

We can see that 2 and 7 multiply to 14 and add to 9.

However, we need them to add to -9.

Note that two negative numbers multiplied will become positive.

-2 • - 7 = 14

Now let's look at their sum.

-2 + (-7)

Simplify the negative.

-2 - 7 = -9

We can see that -2 and -7 multiply to 14 and add to -9.

Hope this helps!

Answer:-√2 sin (45° - A)

Step-by-step explanation:

Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]

Therefore, the y-intercept of the given linear equation is:

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

Answer:

4 + 9 = 13

+ +

12 - 8 = 4

= =

16 17

Took a while to solve but hope this helps!!

Answer:

top left=4, top right =9, bottom left=12, bottom right =8 -- set it up as a system of small equations.  

Step-by-step explanation:

x+y=13

x+w=16

y+z=17

w-z=4

x=16-w

y=17-z

then substitute.

(16-w)+y=13

-w+y= -3

-w+(17-z)= -3

-w-z = -20 add that to w-z=4

-2z= -16

z=8

then plug back in until you have all 4 values

w-(8)=4 --> w=12

-(12)+y= -3 --> -12+y= -3 --> y=9

x+(9)=13 --> x=4

Answer:

Step-by-step explanation:

I dont understand the question.

The coefficient of x⁸y⁹ is 81662929920.

A binomial is a two-term algebraic expression. Examples of binomials include a + b, x - y, and more.

The binomial expansion formulae are used to find the powers of the binomials that cannot be extended using the algebraic identities. 

Given expansion (3x + 2y)¹⁷

to find the coefficient of x⁸y⁹

this is found by binomial expansion,

(x + y)ⁿ = ∑ₙˣ⁻⁰ ⁿCₓxⁿ⁻ˣyˣ

here n = 17 and x = 9

(3x + 2y)¹⁷ = ¹⁷C₉ (3x)¹⁷⁻⁹ (2y)⁹

¹⁷C₉ = 24310

(3x + 2y)¹⁷ = 24310 (6561) (x)⁸ (512) (y⁹)

(3x + 2y)¹⁷ = 81662929920x⁸y⁹

Hence the coefficient is 81662929920.

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Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6 8 = 20x x = 8/20, simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

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The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that a line has a slope of 1/5 and passes through the point (3, 10)

We can write the slope of the line as -

m = 1/5

For the point (3, 10), we can write -

y = (1/5)x + c

10 = (1/5) x 3 + c

c = 10 - 3/5

c =  47/5

Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

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Answer:

dont click on the link its no the answer

Step-by-step explanation:

Answer:

27.3%

Step-by-step explanation:

300/1100 = 0.2727

to get percentage we multiply ^^ by 100

so = 27.27% or rounded to nearest tenth = 27.3

Answer:

Supplementary angles

Step-by-step explanation:

I took the test and this was the correct answer

The percentage increase in the population from 1965 to 2015 is 35 %.

To calculate the population growth rate (PG), take the difference (subtraction) between the original population and the population at time point 1, divide by the original population, and multiply by 100. The population growth rate (PGR) for that period (10 years) was 12%.

Given:

In the year 1965, the population of country A was 2714000.

In the year 2015, the population of country A was 3663900.

Percentage increase in population 50 years

                         = [tex]\frac{(3663900-2714000)}{2714000}[/tex] × 100

                         = 35 %

Thus, the percentage increase in the population from 1965 to 2015 , i.e, 50 years is 35%.

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The expressions that represent this week's price of gasoline per gallon =g+0.05g.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

the price of a gallon of gasoline was `g` dollars.

the price of gasoline per gallon increased by `5%`.

So, the expressions that represent this week's price of gasoline per gallon

=g + g*5%

=g+0.05g

Hence, the expressions that represent this week's price of gasoline per gallon =g+0.05g.

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Answer:

D: 21.23 sq in

Step-by-step explanation:

A tennis ball is a sphere, so we're going to use the surface area of a sphere formula. (4πr²)

Remember that radius is HALF of the diameter, which in this case is 2.6. This means the radius is 1.3.

π represents 3.14

Once you plug the values into the above equation, you should receive the above answer.

The area of the garage door on the blueprint is 0.55 ft^2.

The size of a patch on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given in question,

Scale factor = 0.05

Since this scale factor is for length.

The scale factor for the area = 0.05*0.05

                                          = 0.0025

Original Area = 220

The area on the blueprint = 0.0025*220

                                       = 0.55

Hence, the area of the garage door on the blueprint is 0.55 ft^2.

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For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?

Answer:

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

The function is:

Find the equation of g(x)

Find the slope of g(x):

Use (-4, 7) to find its equation:

The y-intercepts:

Values at x = 3:

Average rate of change in the interval [2,5]:

Max of function in the interval [-5, 5];

Answer:

Step-by-step explanation:

What grade are you in bc I did this

In simplest radical form as A = 22 = 4 cm2

The formula for the volume of a cube is V = a3, where a is the length of each of the cube's sides. In this case, we know that the volume of the cube is 8 cm3, so a3 = 8. When we take the cube root of 8, we get that a = 2 cm.

Therefore, the area of the rectangle formed by the intersection of the plane and cube is A = 2*2 = 4 cm2. This can also be expressed in simplest radical form as A = 22 = 4 cm2.

To calculate this step by step, we first use the formula V = a3 to find the length of each side of the cube. We plug in 8 cm3 for V and solve for a.

V = a3

8 cm3 = a3

Taking the cube root of both sides gives us:

a = ∛8

a = 2 cm

Next, we use the formula for the area of a rectangle, A = l*w, where l is the length and w is the width. We know that the length and width of our rectangle are both equal to 2 cm.

A = l*w

A = 2*2

A = 4 cm2

This can also be expressed in simplest radical form as A = 22 = 4 cm2.

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Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms include 2, 5, and 8. Some sequences can be made endlessly long by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the series. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it has pieces (also called elements or terms). The total, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more objects in a logical order.

given

Δ DOG AND ΔCAT

According to Chanel, the series of transformations that maps triangle ABC onto triangle DEF is as follows:

Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.

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