2 Cassie has a family photograph that measures 5-inches wide and 7-inches long. She wants to enlarge the photograph and hang it on the wall. If the length of the enlarged photograph is 87.5 inches, what is the width of the enlarged photograph?

Answer:

69.04

Step-by-step explanation:

Given that:

Mean (m) = 69.0

Standard deviation (s) = 2.8

Zscore = 0.2

Find the corresponding height (x) ;

Using the relation :

Zscore = (x - m) / s

0.2 = (x - 69.0) / 0.2

0.04 = x - 69.0

0.04 + 69.0 = x

69.04 = x

Hence, the height of a man with a Zscore of 0.2 is 69.04

Answer:

1.75

Step-by-step explanation:

Answer:

B. 68pi

Step-by-step explanation:

to find the surface area of a right cone given radius and slant height:

let A = surface area

let r = radius

let l = slant height.

A=pi*r*l + pi* r^2

plug in the values

A=pi*52+pi*16= about 213.62

The surface area of the cone is 68π sq. units.

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.

Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,

We need to find the surface area of the cone,

SA = π×r×l + π×r²

SA = π(4×13+16)

SA = 68π

Hence, the surface area of the cone is 68π sq. units.

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Answer: 1675 feet

Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.

We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet

Answer:

This simple formula: area = 1/2 x perimeter x apothem.

It means: Perimeter × the sum of the lengths of all the sides.

Hope it helps!<3

Answer:

The surface of the polygon is the total space or area that is limited by the borders of the polygon.

Step-by-step explanation:

This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.

Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

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Answer:

x = 37

y = 79

Step-by-step explanation:

Remark

We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.

Top diagram.

The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.

Put in much simpler language.

<ACB = <AC'B

The end points of the angles are A and B of the Chord AB.

The Vertex of the angles are both on the major arc of the circle. These two are C and C'

Bottom Diagram

The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.

Draw diameter COA       Construction

< CAB = 90                      Any vertex (C) on circumference with diameter endpoints (A & C) = 90

<CAT_1 = 90                   A diameter always meets a tangent at 90o

<BAT_1 = 37                   Given

<CAB = 90-37                  <CAB and <BAT_1 are complementary

<ACB = 37                       A right triangle's acute angles are complementary.

<ACB = x = 37o              See top diagram

Answer:

D. [tex]\sqrt[4]{7}[/tex]

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

Answer:

B

Step-by-step explanation:

any non-zero expression raised to the power of 0 equals 1

Answer:

............the answer is 97

Answer:

There are 1 terms.

5x+kr has 3 terms

Step-by-step explanation:

-3g has 1 term. 12 has none. so it is 1

5x has 1 term and kr has 2 terms and 2+1 is 3 terms.

Answer:

3 3/16

Step-by-step explanation:

Length of the box L= 2 1/2m= 1 9/16 W

Width of box W = W

Height H=?

Volume V= 12 3/4m3

If L= 5/2 = 25/16 W

W= 16 × 5/2× 25

W= 80/50= 8/5 = 1 3/5

V= LWH

Hence height =

51/4 = 5/2 × 8/5 × H

H= 51/4 × 10/40 =51/16

H= 3 3/16

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Answer:

-12

Step-by-step explanation:

g(x) = 4x

h(x) = x^2 - 3

(g o h)(x) = g(h(x)) = g(x^2 - 3) = 4(x^2 - 3) = 4x^2 - 12

(g o h)(0) = 4(0)^2 - 12 = 0 - 12 = -12

Answer:

17/24

Step-by-step explanation:

Change the denominators to match

8/24 + 9/24 = 17/24

Answer:

$3700

Step-by-step explanation:

Given that:

Initial amount = $1400

Amount deposited per week = 50

Amount after 47 weeks =?

Using the Arithmetic Progression relation :

Tn = A + (n - 1)d

Weekly deposit = d = 50

A = initial / first deposit = 1400

n = number of deposits

T47 = 1400 + (47 - 1)50

T47 = 1400 + (46)*50

T47 = 1400 + 2300

T47 = 3700

Answer:

$3750

Step-by-step explanation:

T47 = 3750

Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:

Answer:

49n² - 70n + 25

Step-by-step explanation:

Area of a square = s²

Where,

s = side length = 7n - 5

Area of the square = (7n - 5)²

= (7n - 5)(7n - 5)

= 7n(7n - 5) -5(7n - 5)

= 49n² - 35n - 35n + 25 (distributive property of equality)

Add like terms

Area = 49n² - 70n + 25

Answer:

The answer is S=D/H

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

3/35

Step-by-step explanation:

Answer:

$49

Step-by-step explanation:

78 - 29 = 49

To get 49, I subtracted 29 from 78.

Answer:

Part A: 24

Part B: 256

Step-by-step explanation:

Part A

Without Repetition means that once you use a number out of the given four, it can't be used again.

Answer: 4*3*2* 1 = 24

Part B

Part B allows repetition. That means that the numbers can be used as many as 4 times.

Answer: 4*4*4*4 = 256

To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.

The value of P(x <= 44) is 0.025 which is option D

Given the value of the mean, normal distribution and standard deviation, we can calculate where the value lies

Data;

But we know that

[tex]z = \frac{x- \mu}{\sigma}[/tex]

Let's substitute the values of x, standard deviation and mean into the equation above

[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]

Solving this further;

[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]

The value of P(x <= 44) is 0.025 which is option D

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Answer:

The answer is 0.16 other guy wrong

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The simplified expression of the given expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] is [tex]w^{16[/tex].

The expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex]  can be simplified as follows:

= -5 * [tex]w^{2 - (-6)[/tex] * [tex]y^{-2 - 2[/tex] / -15 * [tex]w^{-6 - 2[/tex] * [tex]y^{2 - (-2)[/tex]

= -5 * [tex]w^8[/tex] * [tex]y^{-4[/tex] / -15 * [tex]w^{-8[/tex] * [tex]y^4[/tex]

= (-5 / -15) * ([tex]w^8[/tex] / [tex]w^{-8[/tex]) * ([tex]y^{-4[/tex] / [tex]y^4[/tex])

= 1 * [tex]w^{16[/tex] * [tex]y^0[/tex]

= [tex]w^{16[/tex]

Therefore, the simplified expression is w^16.

Here is a breakdown of the steps involved in the simplification:

The powers of w and y are combined using the distributive property of exponents.

The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.

The factors of 5 and 15 are simplified.

The common factors of w and y are simplified.

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Answer:

2.5*5= 12.5

15-12.5=2.5

So in order to pay the 15 dollars in the photography club, she only has to pay 2.50

Answer:

1/3

Step-by-step explanation:

bc 2/6 reduces to 1/3

Answer:

I believe answer is 0.041

Answer:

Step-by-step explanation: