Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.

Answer:

(2x−3)(x−5)

Step-by-step explanation:

Factor 2x^2−13x+15

2x^2−13x+15

=(2x−3)(x−5)

hope this helps

-lvr

Answer:

Factored: (2x-3)(x-5)

Solving with quadratic formula: X= 5, 3/2

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

a rigid transformation preserves lengths and angles

if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation

if the corresponding angles are the same that works too

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  [tex]mm^2[/tex]

The surface area of the triangular prism is 55.5,127.5,135,or 150  [tex]mm^2[/tex]

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]

(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]

The dimensions of the lateral rectangles are:

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]

Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Answer:

A....2

B....3

C.....7.5

D......135

Step-by-step explanation:

Answer:

y= -x^2+5

Step-by-step explanation:

It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5

Hope this helped!

The complete question is;

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

Answer:

60 cm. Option D is the correct answer

Step-by-step explanation:

From the image, the diagonals of the parallelogram bisect each other. Thus;

AE = EC and BE = ED

We are given that;

DE = 3y + 6 cm and BE = 5y - 10 cm, thus;

3y + 6 = 5y - 10

Rearranging, we have;

5y - 3y = 6 + 10

2y = 16

y = 16/2

y = 8 cm

The brace that bisects point B and D is BD. So, BD = BE + DE

So, BD = 5y - 10 + 3y + 6

BD = 8y - 4

Putting 8 for y to obtain;

BD = 8(8) - 4

BD = 64 - 4

BD = 60cm

Answer:

60 cm

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

1+5=6

6-8=-2

4x-2=-8

Answer:

8

Step-by-step explanation:

Answer:

l = 20 cm

w = 12 cm

Step-by-step explanation:

P = 64 = 2w + 2l

2w = 4 + l

64 = 4 + l  + 2l

64 - 4 = 3l

3l = 60

l = 20 cm

2w = 20 + 4

2w = 24

w = 12 cm

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

Answer:

Correct answers:

A. An angle that measures [tex]\frac{\pi}{6}[/tex]  radians also measures  [tex]30^o[/tex]

C. An angle that measures [tex]180^o[/tex]  also measures [tex]\pi[/tex]  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]

Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex]  radians angle, then its degree formula becomes:

[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]

also when an angle measures [tex]180^o[/tex]  , its radian measure is:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]

The other relationships are not true as per the conversion formulas

Answer:

the person abive is correct jzt to confirm

Answer:

By the Pythagorean Theorem

[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]

In the figure triangles ABD(red) and ADE(green) are similars because:

AED=DAB=90

ADE common angle

Then  [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]

[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Answer: B. 72ᴼ alternate exterior angles theorem

Step-by-step explanation:

Alternate exterior angles because they’re angles on the outside of the transversal.

Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

Answer:

  a.  16%

Step-by-step explanation:

The difference from the mean is ...

  (x - µ) = 4420 lb -3550 lb = 870 lb

Then the minimum Z-score of the traffic of interest is ...

  (x - µ)/σ = (870 lb)/(870 lb) = 1

__

The "empirical rule" tells you that 68% of a normal distribution is within 1 σ (Z = ±1) of the mean. If 68% is inside that range, then the remaining 32% is outside that range. The normal distribution is symmetrical about the mean, so half that quantity is below Z = -1, and the other half, 16%, is above Z=1.

About 16% of the cars have weights more than 4420 pounds.

Answer:

The first option, RT.

Step-by-step explanation:

Answer:

Options B, C and D.

Step-by-step explanation:

Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;

-19x -19 = -19x-19

Add 19 to both sides of the equation to get rid of -19

-19x -19 +19 =-19x -19 +19

Divide both sides by -19

[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]

x = x

Answer:

x value is 10 as per as the question its value is 10

Answer:

3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots

Step-by-step explanation:

Answer:

answer d

Step-by-step explanation:

edg 2020

Answer:

g(-4) =1

Step-by-step explanation:

g(-4) we want to find the value of the graph when x = -4

Got over to x=-4

Got up to the blue line

read the value of the y coordinate

y=1

g(-4) =1

Answer:

Bias.

Step-by-step explanation:

It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

180 meters

Step-by-step explanation:

The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).

So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.

-5(x-8)(x+4)

-5(x^2+4x-8x-32)

-5(x^2-4x-32)

-5x^2-20x-160

Vertex formula is: -b/2a

b = 20

a = -5

[tex]\frac{-20}{2(-5)}[/tex]

= 2

The x-coordinate of the vertex is 2.

Plug 2 into the equation

-5(2)^2+20(2)+160

= 180 meters

Answer:

39

Step-by-step explanation:

From left to right but first parenthesis

11-6=5

5+2=7

7x5=35

12/3=4

35+4=39

Answer:

39

Step-by-step explanation:

1. Never forget to use P.E.M.D.A.S

11 - 6 = 5

2 + 5 (5) + 12/3

39

tan X = |YZ| / |XZ| = 20/8 = 5/2

X = arctan(5/2) = 68.2°

Answer: 68.2°

The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.

In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are

sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]

cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]

tan A =[tex]\frac{opposite side}{adjacent side}[/tex]

Given YZ=20cm and XZ=8cm

Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )

tan (∠YXZ ) =20/8 =2.5

∠YXZ = arctan (2.5) =68.2°

Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.

Learn more about trigonometric ratios here :

brainly.com/question/22384999

#SPJ2

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

Answer:

First space: 15

Second space: 20

Third space: 0

Fourth space: 20

Step-by-step explanation:

If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:

P(x) = (20 - x)*(30+3x)

P(x) = 600 +30x - 3x2

The vertical axis of the graph represents the profit P(x) of the florist.

So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15

Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)

The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.

Answer:

675

20

(0,20)

Step-by-step explanation:

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per​ hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500​-mile trip if you drive at an average speed of 54 miles per​ hour

[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]

The driving time for a 2500​-mile trip if you drive at an average speed of 65 miles per​ hour

[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]

The given expressions written in standard form are;

A) 21 × 10⁷

B) 5 × 10²

This is about expression of given algebra in standard form making use of laws of indices.

A) We are given;

(7 × 10⁵) × (3 × 10²)

Now according to the law of indices, when we want to multiply 2 numbers with same bases and different exponents, we retain the bases and add the exponents.

Also, when we want to multiply 2 numbers with different bases and same exponent, we multiply the bases and retain the exponent.

Applying that to our question gives;

(7 × 3)¹ × (10)⁽⁵ ⁺ ²⁾

⇒ 21 × 10⁷

B) We are given;

(2 × 10⁵)/(4 × 10²)

According to the law of indices, when we want to divide 2 numbers with same bases and different exponents, we retain the bases and subtract the exponents.

Also, when we want to divide 2 numbers with different bases and same exponent, we divide the bases and retain the exponent.

Thus;

(2/4)¹ × (10)⁽⁵ ⁻ ²⁾ = 0.5 × 10³

0.5 can also be expressed as; 5 × 10⁻¹

Thus, 5 × 10⁻¹ × 10³ = 5 × 10²

Read more at; brainly.in/question/18681990

Step-by-step explanation:

pythagorean theorem states

c²=a²+b² where c is the longest line a is the base while b is the height thus

example

1)c²=a²+b²

12²=a²+8²

144=a²+64.

144-64=a²

80=a² a=√80. =8.9

2)c²=a²+b²

15²=4²+b²

225=16+b²

225-16=b²

209=b² b=√209. =14.45

3)c²=a²+b²

c²=5²+9²

c²=25+81

c²=106. c=√106. =10.295

I hope you have understood I will do the other ones simply

4)26²=18²+a²

676-324=a²

√352=a. a=18.761

5)10²-6²=b²

100-36=b² b²=64. b=8

6)c²=12²+9²

=144+81.

c² =225. c=15

1...

Formula=  A=C^2-B^2

A=12^2-8^2

A=144-64

144-64=80

√80 = 8.944

Rounded = 8.9

2...

Formula=  A=C^2-B^2

A=15^2-4^2

A= 225-16

225-16=209

√209=  14.456

Rounded= 14.5

3...

Formula= A^2+B^2=C^2

9^2+5^2=C^2

81+25=106

√106=  10.295

Rounded= 10.3

4...

Formula=  A^2=C^2-B^2

A^2= 26^2-18^2

A^2=676-324

676-324=352

√352=18.761

Rounded= 18.8

5...

A^2=C^2-B^2

A^2=10^2-9^2

100-91=9

√9=3

6...

Formula= A^2+B^2=C^2

9^2+12^2=C^2

81+144=225

√225=15

Code= 8.9, 14.5, 10.3, 18.8, 3, 15.