A rectangular box is tied with a ribbon so that the ribbon crosses the box at the midpoints of its sides. If the box is 8 inches long, 6 inches wide, and 5 inches high, how long is the ribbon? hint: look for right triangles.

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Here's your answer:

Hope it will help u.

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

The four integers are 7, 7, 8, 10

Four integers are a, b, c, d

Mean = Sum of integers/Total number of integers

         = (a+b+c+d)/4

According to the question,

Mean = 8

i.e. (a+b+c+d)/4 = 8

⇒ a+b+c+d = 32 ......(1)

Median (for even no. of integers) = ([tex]\frac{n}{2}^{th} +(\frac{n}{2}+1)^{th}[/tex] term)/2

                                                       = (2nd+3rd term)/2

                                                       = (b+c)/2

According to the question,

Median = 7.5

i.e. (b+c)/2 = 7.5

⇒ b+c = 15  .....(2)

We know that, most frequent data is the mode.

So, mode = 7 means the number 7 occurs most frequently.

7 is not more than 2 times, because if 7 occurs 3 times, then 2nd & 3rd term will be 7 & median will be (7+7)/2 i.e. 7, so 3rd term must be larger than 7 to adjust the median value, which is 7.5

Then 1st two integers are 7 & 7

i.e. a = b = 7

Now, from (2), b+c = 15  

                    ⇒ 7+c=15

                    ⇒ c =15-7

                    ⇒ c = 8

Now, from (1) we get, a+b+c+d = 32

                                 ⇒ 7+7+8+d = 32

                                 ⇒ 22+d = 32

                                 ⇒ d = 32-22

                                 ⇒ d = 10

So, a = 7, b = 7, c = 8, d = 10

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Answer:

The result is [tex]d = 2\sqrt{5}[/tex] units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2}[/tex] Where the first coordinate is [tex](x_{1},y_{1})[/tex] and  the second coordinate is [tex](x_{2}, y_{2})[/tex].

-Use the coordinates A and B for the equation:

[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]

-Then, you solve the equation:

[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]

[tex]d = \sqrt{(4)^2 + (2)^2}[/tex]

[tex]d = \sqrt{16 + 4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

So, therefore the distance is [tex]2\sqrt{5}[/tex] units.

Answer:

2145 cm3

Step-by-step explanation:

Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

                                 [tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]

Hence, the volume of the sphere is 2,145 cm³.

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Answer:

What do you mean i need an explaination

Step-by-step explanation:

Answer:

You need to show the table

Step-by-step explanation:

We can't answer without that info

Answer:

the answer is 10 i think

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1

Answer: There isnt enough information to asnwer

Step-by-step explanation:

Answer:

36⁄12

Step-by-step explanation:

Answer:

0.88

Step-by-step explanation:

Given:

A spinner is divided into 4 sections using the  colours: red, orange, yellow, and green. After  50 trials, the spinner landed on red 10 times,  on orange 16 times, on yellow 6 times, and  on green 18 times.

To find: probability of the spinner not landing  on yellow

Solution:

Probability is the chance of occurrence of some event.

Total number of outcomes = 50

Number of favourable outcomes = 50 - 6 = 44

Probability of the spinner not landing  on yellow = Number of favourable outcomes / Total number of outcomes = [tex]\frac{44}{50}=\frac{22}{25}=0.88[/tex]

Answer:

The answer is 0.88 Hope this helps any T4L students!

Answer:

ya switch the the 1st one and the last one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x- 41.5 = 13.5

Step-by-step explanation:

The normal rate is x and the sick rate is 41.5

The difference is 13.5

x- 41.5 = 13.5

Answer:

x =82

Step-by-step explanation:

2/5 (x − 17) = 26

Multiply each side by 5/2

5/2 *2/5 (x − 17) = 26*5/2

x-17 =65

Add 17 to each side

x-17+17 = 65+17

x =82

Answer:

Step-by-step explanation:

u got to just learn how to do it

Answer:

y=3

Step-by-step explanation:

Solve by subtracting

[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]

Divide.

[tex]-9y=-27\\y=-27/-9\\y=3[/tex]

Answer:

3

Step-by-step explanation:

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms

Answer:

x=4, y=9.6

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

[tex]TP X TQ=TR^2[/tex]

[tex]9(9+12+x)=15^2\\9(21+x)=225\\189+9x=225\\9x=225-189\\9x=36\\x=4[/tex]

Next, we apply Theorem of Intersecting Chords

SV X VR=PV X VQ

5 X y = x X 12

Recall: x=4

5y=4 X 12

5y=48

y=48/5=9.6

Therefore: x=4, y=9.6

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

Answer:

A3

D6

Step-by-step explanation:

All answer choices are correct and can form triangles.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).

A)

3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.

B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.

C)

5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.

D)

6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.

E)

7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.

Therefore,

All of the sets of measurements could be the side lengths of a triangle.

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Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

Correct question:

Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.

Answer: 2 hours

Step-by-step explanation:

Everyday Kim practices volleyball and clarinet = v/ball + clarinet

Everyday volleyball practice = 2.5hours

That is clarinet(hours) + 2.5 hours of volleyball

After 8 day, total practice hours of both volleyball and clarinet equals 36 hours

The above information can be represented mathematically as thus:

Let h = hours per day of clarinet

8(h + 2.5) = 36

8h + 20 = 36

8h = 36 - 20

8h = 16

h = 16/8

h = 2

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

Answer:

Slant height of the pyramid = 11.66 m

Step-by-step explanation:

A squad pyramid has a volume of

V = ⅓ × (area of base) × (vertical height)

Area of the pyramid's square base = 144 m²

Volume = 384 m³

384 = ⅓ × 144 × (vertical height)

Vertical height = (3×384)/(144) = 8 m

But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.

The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.

The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.

Area of the square base of the pyramid = 144 m²

Area of a square = (side length)²

Side length = √(Area of the square) = √144 = 12 m

Using Pythagoras theorem,

(Length of the diagonal)² = 12² + 12² = 288

Length of the diagonal = (12√2) m

Half of the length of the diagonal of the square base = 6√2 m

Using Pythagoras theorem further

(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²

(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136

Slant height of the pyramid = √136 = 11.66 m

Hope this Helps!!!

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

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

------

[tex]x=-1\\y=2(-1)+5\\y=-2+5\\y=3[/tex]

------

[tex]x=0\\y=2(0)+5\\y=0+5\\y=5[/tex]

------

[tex]x=1\\y=2(1)+5\\y=2+5\\y=7[/tex]

------

[tex]x=2\\y=2(2)+5\\y=4+5\\y=9[/tex]

:Done

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimensions of tubs used by theatre A and B is missing.

However, I'll solve the question as follows.

First, it should be noted that the tub with highest volume gives the best deal.

This is so because both pop corns go for the same price of $5 and the tub with the highest volume contains more popcorn.

The volume of a rectangular prism is calculated by

Volume = Length * Breadth * Height

Take for instance, the dimension of tub A is length = 4cm, breadth = 5cm and height = 6cm

And the dimension of tub B is length = 3cm, breadth = 7cm and height = 5cm

The volume of tub A (theatre A) = 4cm * 5cm * 6cm

Volume = 120cm³

The volume of tub B (theatre B) = 3cm * 7cm * 5cm

Volume = 105cm³

Because the volume of tub A is greater than that of tube B, then tube A offers the best deal

If you apply this steps in your question, you'll arrive at the right answer.

Answer:

I hope this helps

Explanation: