A clothing designer is selecting models to walk the runway for her fashion show.
The designer prefers models that are no more than 3 inches away from being 5'10".
Since 5'10" is the same as 70 inches, write an inequality - in terms of inches - that
could be used to determine if a model's height is within the designer's preferred height
range.

The graph of the parabola is added as an attachment

From the complete question (added at the end of the solution), the equation of the parabola is given as

y = x²

When a parabola has the form of y = x², then the vertex of the parabola is

Vertex = (0, 0)

Set x > 0 to determine the points to the right

When x = 1

y = 1² = 1

When x = 2

y = 2² = 4

Set x > 0 to determine the points to the left

When x = -1

y = -1² = 1

When x = -2

y = -2² = 4

So, the points are

(1, 1), (2, 4), (-1, 1) and (-2, 4)

While the vertex is (0, 0)

Next, we plot the graph of the parabola using a graphing calculator

See attachment for the graph

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Complete question

Graph the parabola y = x²

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answer:

What?

Step-by-step explanation:

What?

Solve for y in the equation in standard form

It is a transilation transformation.

The coordinate is moved 6 units to the right and 6 unit to down ward direction.

From the graph

the curve start from a point close to 40

Hence at the beginning of the year January, the teperature was 38 degree

Answer:

9.53

Step-by-step explanation:

Estimate of trees: 99,300
Estimate of branches: 60

Estimate of leaves: 1600

All of the numbers multiplied togethered: 99,300 x 60 x 1600 = 9,532,800,000

9,532,800,000 to the billions is 9.53b

Note: i do not know if this will be accepted since you didn't put any answer choices so yeah

Answer: 6.33

Step-by-step explanation:

[tex]x^2 =36 \implies x=\pm 6\\\\x^3 =125 \implies x=5\\\\x^2=81 \implies x=\pm 9\\\\x^3 =512 \implies x=8\\\\x^2 =100 \implies x=\pm 10\\\\x^2 =121 \implies x=\pm 11\\\\x^2 =49 \implies x=\pm 7\\\\x^3 =64 \implies x=4\\\\x^3 =8 \implies x=2\\\\[/tex]

So, the correct answers are 5, 10, and 4, and thus the mean is 19/3, or about 6.33.

Answer: B

Step-by-step explanation:

[tex]\tan \theta=10 \implies \sin \theta=\frac{10}{\sqrt{101}}, \cos \theta=\frac{1}{\sqrt{101}}[/tex]

[tex]\sin 2\theta=2\sin \theta \cos \theta=2 \left(\frac{10}{\sqrt{101}} \right)\left(\frac{1}{\sqrt{101}} \right)=\frac{20}{101}[/tex]

[tex]\cos 2\theta=2\cos^2 \theta-1=2 \left(\frac{1}{\sqrt{101}} \right)^2 -1=-\frac{99}{101}[/tex]

[tex]\therefore \sin 2\theta+\cos 2\theta=\frac{20}[101}-\frac{99}{101}=-\frac{79}{101}[/tex]

to do a perfect-square trinomial the third term must be the square of the half of the second term

the sencond term is 7,so

so the expresion is

and the factor

An example

the third term is

so the percet-square is

the amount paid for gatuities which 5 percent of the cost of banquet is  

A percentage refers to a specific number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%.". The cost of gratuities is 1/20 or 5 percent of the amount paid for banquet. let us assume that x is the amount paid for banquet so

2457 is 120 percent of x

or 2457= [tex]\frac{120}{100}[/tex]×x

which implies x=2457×[tex]\frac{100}{120}[/tex]

     x=2047.5$

this is the amount of banquet. to get the cost of gratuities we subtract this amount from the total cost.

amount paid for gratuities is 2457-2047.5=409.5$

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The true statement is b.

SOLUTION

The Data set given is

4.9,2.7,6.2,5,4.7,5.4,6.5,3.8,12

The minimum of the data set is the lowest data in the distribution

The first quartile is given by

where N=frequency of the data=9

Then the first quartile becomes

The median is the middle number after arrangement

The number of miles you hike each day is 7.4 miles.

The unitary approach, to put it simply, is used to determine the value of a single unit from a specified multiple. How to determine the worth of a single pen, for instance, if 40 pens cost Rs. 400. The unitary approach can be utilized. Additionally, after determining the value of a single unit, we can multiply it to determine the value of the other units. Most ratio and proportion concepts are addressed using this methodology. To compute the value of other units using the unitary approach, the value of a unit quantity must first be determined. This can be varied in two different ways.

3 days = 22 miles

1 day = x

x = 7.4 miles

Still 12 miles are left so I will need half a day more approximately.

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Answer:

Explanation:

We are given absolute value function:

It has been stretched horizontally by a factor of 3, we need to find a new function that shows the stretched functions:

Stretch-Compress-along x:

Stretch if:

Since our function is Stretched by a factor of 3, therefore our function g(x) is:

This is a new function.

Answer:

Step-by-step explanation:

g(x) = |1/3x|

Answer: False

Step-by-step explanation:

You need a common denominator (the bottom number)

The midpoint formula   [tex]\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}[/tex] and the length of coordinates can be determined from the formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.

The x-axis & y-axis are the two axes that make up a coordinate plane (vertical).

The coordinates of the origin, which is the location where the two axes connect, are (0, 0).

The following formula is used to determine the separation between two coordinates :

The midpoint formula   [tex]\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}[/tex] and the length of coordinates can be determined from the formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

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Explanation

to plot this, you need to count the numbers of weigth for that number, for example

for 18

count in the table all the 18

you will get 18 is 2 times in the table (2)

now, for 19

count the number of 19's in the table 3

and so on

Step 1

then, for 24

total = 0

so, as we have not 24 as a data, there is not need to plot it

I hope this helps you

Multiply the full number by the denominator to convert a mixed number to an improper fraction. If the value be 3 11 / 16 then simplifying the value 59 / 16.

Multiply the full number by the denominator to convert a mixed number to an improper fraction. Include it in the numerator. Add that total to the denominator from the beginning.

To make a mixed number from an improper fraction, divide the numerator by the denominator. After division, the mixed number is produced in such a way that the obtained quotient becomes the entire number, the remainder becomes the new numerator, and the denominator remains constant.

Let the value be 3 11 / 16

Convert mixed numbers to improper fraction: [tex]$a \frac{b}{c}=\frac{a \cdot c+b}{c}$[/tex]

[tex]$&3 \frac{11}{16}=\frac{3 \cdot 16+11}{16}=\frac{59}{16} \\[/tex]

= 59 / 16

Therefore, the correct answer is 59 / 16.

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You can use multiplication to generate an equivalent ratio by multiplying both sides of the ratio by the same factor, this way:

The equation of the parabola with a vertex at the origin and a directrix at; y = 5 as described in the task content is; x² = -20y.

It follows from the task content that the vertex of the parabola is at the origin while it's directrix is the line; y = 5.

Therefore, it follows that the focus of the parabola is; f = -5, since; (f - k) = (k - 5) where, k = 0.

Ultimately, a = 1/4(f-k).

a = 1/4(-5-0) = -1/20.

Recall, the vertex form equation of a parabola takes the form;

y = a(x - h)² + k; where (h, k) is the vertex.

Therefore, since the vertex is at the origin; we have;

y = (-1/20) (x -0)² + 0

y = -x²/20

20y = -x²

Ultimately, the required equation of the parabola is;

x² = -20y.

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Answer:

[tex]y = -\frac{1}{20} x^{2}[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{4(f-k)}(x - h)^{2} + k[/tex] Use the equation of the parabola. The vertex is at the origin, then (h, k) is (0, 0). Substitute 0 for h and k in the equation.

[tex]y = \frac{1}{4(f-0)} (x-0)^{2} + 0[/tex] Simplify.

[tex]y = \frac{1}{4f} x^{2}[/tex]

The directrix is given [tex]y = 5[/tex]. The distance from the focus to the vertex equals the distance from the vertex to the directrix, so

[tex]f - k = k - 5\\f = -5[/tex] Substitute -5 for f  in the equation of the parabola above.

[tex]y = \frac{1}{4 * - 5} x^{2}[/tex] Simplify.

[tex]y = - \frac{1}{20} x^{2}[/tex]

The value of x = - 12°

The triangle which has two equal sides or two equal sides is called an Isosceles triangle. In a Isosceles triangle the angles made by equal sides with 3rd side will be equal

Here from given question we have,

Measure of ∠2 = x + 85

And the measure of another angle = 73

From given picture,

Two sides of triangle are equal then the given triangle will be an Isosceles triangle

As we know in a Isosceles triangle the angles made by the two equal sides with 3rd side will be equal  

=> ∠2 = 73

=> x + 85 = 73

=> x = - 85 +73

=> x = -12°

Therefore,

The value of x = -12°

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The product of two expressions can be calculated using distributive property as,

(Distributive property (A+B)C=AC+BC) )

Therefore, the product of the expressions is,

As given by the question

There are given that the total investment money is $3000 and earns 4% annual interest.

Now,

x dollars in an account that earns 7% and that earns 5.5% interest for both accounts.

Then, for the equation

Assuming that the money is invested at simple interest for one year,

We have:

Hence, the correct option is B

Answer:

B- .0.055(3,000 + x) = 120 + 0.07x

Answer:

6. C

7. 105 ft²

Explanation:

The square pyramid has a square base with a side's length equal to 5 ft and a slant height equal to 8 ft.

Now, the only option that shows a square with a side length equal to 5 is C. So, the right net is C.

Then, the amount of fabric depends on the area of the net. The area of the net is equal to the area of the square added to the area of the triangles.

The area of the square is:

Area = side x side = 5 x 5 = 25 ft²

The area of the triangles is:

Area = 1/2 x base x height = 1/2 x 5 x 8 = 20 ft²

Then, the total area of the net is:

Total Area = 25 ft² + 4( 20 ft²)

Total Area = 25 ft² + 80 ft²

Total Area = 105 ft²

So, Frank needs 105 ft² of fabric to make the fort.

ANSWER

x = 12

EXPLANATION

By the intersecting chords theorem, the product of each segment of one chord equals to the product of each segment of the other chord:

Solving for x:

Answer:

Step-by-step explanation:

Ascending is least to greatest.

We can convert the fractions into decimals.

SO,

7/10 can be 0.7 and 9/10 can be 0.9

In least to greatest order, it would be:

0.4, 0.7, 0.9 ANSWER

In this case, the answer is very simple.

Defines substitution.

The answer is:

The substitution method for solving systems of linear equations, consists of solving or isolating one of the unknowns (for example, x) and substitute its expression in the other equation.

In this way, we will obtain a first degree equation with the other unknown (y), and once solved ''y'', we calculate the value of ''x'' substituting the value of ''y'', that we already know.

Ok, so

The answer is that there's 1,000 grams in a Kilogram. That's the equivalence.

For a initial amount invested P at a annual interest rate r, the total amount after n years is given by:

For P = $83927, r = 0.07 and n = 7, we have:

Then, the amount of interest Tiana will earn on this investment is given by: