At what position on the number line is the red dot located?

The minimum amount of extra cardboard needed to construct a new box is : 84in².

First step

Surface area=2(16) (5) in²+ 2(20in) (5in)  + 2(16in) (20in)

Surface area=1000in²

Second step

Surface area if the length increase by 2 inches

Surface area=2(16) (5) + 2(20+2) (5in)  + 2(16in) (20+2)

Surface area=1084in²

Third step

Surface area=1084in²-1000in²

Surface area=84in²

Therefore the minimum amount of extra cardboard needed to construct a new box is : 84in².

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Answer:

14 players.

Step-by-step explanation:

The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.

993.5 + 74.25p = 2033

74.25p = 1039.5

p = 14

Answer:

A

Step-by-step explanation:

just cut off one side and add it to the other thats how you solve paralellograms

Answer: 6 x 7?

Step-by-step explanation: To find the area of a parallelogram it's base times height.

Answer:

The area of the shape is 122.30 cm^2

Step-by-step explanation:

To calculate the surface area, we identify the side shapes

We have this as;

a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm

The area of the rectangles is simply the product of the side lengths

The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both

Thus, we have the area of the shape as follows;

(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)

= 33 + 18 * 24 + 47.3

= 122.30 cm^2

Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^−12

Step-by-step explanation:

in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Answer:

The answer is C both the mean and median are 6

Step-by-step explanation:

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

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

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

Answer: The measure of JK is 60 and the correct option is d.

Explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

By midpoint theorem,

Therefore the measure of JK is 60 and the correct option is d.

Answer:

85 hours

Step-by-step explanation:

Number of hours per day = 13 hours

Number of days = 6

Number of hours worked for 6 days = 6 days × 13 hours

= 78 hours

then he worked 7 hours

Total Number of hours worked = Number of hours worked for 6 days + 7 hours

= 78 hours + 7 hours

= 85 hours

Total Number of hours worked = 85 hours

Answer:

2

Step-by-step explanation:

Answer:

1+1 = 2.

If you had one apple, and I gave you one more, you would have 2 apples.

Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

Answer:

1/26

Step-by-step explanation:

The probability is 1/26 because there are 26 letters on a keyboard!

Answer:

If its set up like

1 2

3 4

5 6

the answer is 1,2,4,6

Step-by-step explanation:

i hope my math on desmos was right xD

The equations of ellipses[tex]2x^{2} +8y^{2} -12x+16y-174=0[/tex], [tex]4x^{2} +y^{2} +16x+4y+4=0[/tex],[tex]3x^{2}+12y^{2} +18x-24y-69=0[/tex] and [tex]x^{2} +9y^{2} -2x+18y-71=0[/tex] having the major axis lengths are twice their minor axis length.

Equations of ellipse

[tex]\frac{(x-h)^{2} }{a^{2} } +\frac{(y-k)^{2} }{b^{2} } =1[/tex]         (for horizontal major axis ,a>b)

[tex]\frac{(x-h)^{2} }{b^{2} } +\frac{(y-k)^{2} }{b^{2} }=1[/tex]           ( for vertical major axis, b>a))

Where, (h, k) is the center of ellipse.

The major axis of an ellipse is its longest diameter(a line that runs through the center and both foci, with ends at the two most widely separated points  on perimeter).

length of major axis = 2a       (where a is the length of semi major axis)

The minor axis of an ellipse is the line that contains the shorter of the two line segments about which the ellipse is symmetrical.

length of minor axis = 2b               (where b is the length of semi minor axis)

According to the given question

we have, the equations  of ellipses

A) [tex](4x^{2} +32x)+(25y^{2} -250y)+589=0[/tex]

[tex]4(x^{2} +8x)+25(y^{2} -10y)+589=0[/tex]

[tex]4(x^{2} +8x+b^{2} )-4b^{2} +25(y^{2} -10y+b^{2} )-25b^{2} +589=0[/tex]

[tex]4(x^{2} +8x+4^{2})-4(4^{2})+25(y^{2} -10y+b^{2} )-25(5^{2} ) +589=0[/tex]

[tex]4(x+4)^{2}+25((y-5)^{2} )-100=0[/tex]

[tex]4(x+4)^{2} +25(y-5)^{2} =100[/tex]

dividing both the sides by 100

[tex]4\frac{(x+4)^{2} }{100} +25\frac{(y-5)^{2} }{100} =1[/tex]

[tex]\frac{(x+4)^{2} }{25} +\frac{(y-5)^{2} }{4} =1[/tex]

[tex]\frac{(x+4)^{2} }{5^{2} } +\frac{((y-5)^{2} }{2^{2} }=1[/tex]

here, h=-4 and k=5

major axis =2a=2×5=10

minor axis=2b=2×2=4

⇒ the length of major axis is not twice the length of minor axis.

Similarly, we will do for the other equations

B).

[tex]2x^{2} +8y^{2} -12x+16y-174=0\\\frac{(x-3)^{2} }{10^{2} } +\frac{(y+1)^{2} }{5^{2} } =1[/tex]

here, h=3 and k=-1

major axis:2a=2×10=20

minor axis:2b=2×5=10

⇒ length of major axis is twice the length of minor axis.

C).

[tex]4x^{2} +y^{2} +16x+4y+4=0[/tex]

[tex]\frac{(x+2)^{2} }{2^{2} } +\frac{(y+2)^{2} }{4^{2} } =1[/tex]

here, h=-2 and k= -2

major axis: 2b=2×4=8

minor axis: 2a= 2×2=4

⇒ the length of the major axis is twice of the length of minor axis.

D).

[tex]x^{2} +4y^{2} +6x-8y-23=0[/tex]

[tex]\frac{(x+3)^{2} }{6^{2} } +\frac{(y-1)^{2} }{3^{2} } =1[/tex]

here, h=-3 and k=1

major axis: 2a=2×6=12

minor axis: 2b= 2×3=6

⇒ the length of major axis is twice of the length of minor axis.

E).

[tex]16x^{2} +y^{2} -64x+8y+16=0[/tex]

⇒[tex]\frac{(x-2)^{2} }{2^{2} } +\frac{(y+4)^{2} }{2^{2}} =1[/tex]

here, h=2 and k=-4

major axis: 2a=  4

minor axis :2b=4

⇒ the length of major axis is not the twice of minor axis.

F)

[tex]x^{2} +9y^{2} -2x+18y-71=0[/tex]

⇒[tex]\frac{(x-1)^{2} }{9^{2} } + \frac{(y+1)^{2} }{3^{2} } =1[/tex]

here, h=1,  and k=-1

major axis: 2a= 18

minor axis: 2b = 9

⇒ the length of major axis is twice to the length of minor axis.

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Answer:

MOBiLe LeGenD BaNG bAnG

Step-by-step explanation:

1s

2s

3s

4s

5s

mobile legend bang bang

Susan can maximum spend $30.95 on dog food and the inequality to manage her bill is 150C + 30D ≤ 3250.

The idea of inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.

Given, Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats, but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs. Her budget is $3250

Let the price of cat food be C and the price of dog food be D.

Since the price of both cants is exceed 3250. Thus,

inequality shows their relationship is

150C + 30D ≤ 3250

Also given, the price of dog food is twice the price of cat food

C = D/2

150D/2  + 30D  ≤ 3250

105D  ≤ 3250

D  ≤ 3250/105

D  ≤ 30.95

Therefore, The most Susan can spend on dog food is $30.95, and the inequality to handle her bill is 150C + 30D  ≤  3250.

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The Answer is B.

Its a Cubic function and this does not graph a line.

The first option

y=5 (A straight line)

for Y=-8x

Using Y=Mx + c

M is the slope

So it has a slope of -8.

Answer:

B) 55°

Step-by-step explanation:

55+70=125

180-125=55

or

Isosceles means 2 angles are the same, so it's 55°.

Answer:

B) 55°

Step-by-step explanation:

if it's an isosceles triangle then the third angle must be either 55° or 70°

and it cannot be 70 because 70+70+55 = 195° and a triangle only has 180°

Answer:

[tex]an=2n+4[/tex]

Step-by-step explanation:

Answer:

where is it at

Step-by-step explanation:

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

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Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

Answer:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

Answer:

x =4 and y =1

Step-by-step explanation:

Triangle ADB is an equilateral triangle that means the side a 3 unit each

so,

y + 2 = 3

y = 1

Triangle DBC is an isosceles triangle that means two legs are equal

So,

y + 2 = x -1

we already know that y+2 = 3

So,

3 = x -1

4 = x

Answer:

I'm pretty sure the answer is 6!

Step-by-step explanation:

it takes 6 to get to 13 from 7

and it takes 6 to get to 19 from 13