Peter had to solve a puzzle.which mathematical symbol can be placed between 5 and 9, to get a numbergreater than 5, but less than 9?

Answer:

x = 2

Step-by-step explanation:

3(x+4) = 18

distribute 3 into parenthesis

3x +12 = 18

subtract 12

3x = 6

divide by 3 to get x by itself

x = 2

Answer:

To find a slope perpendicular to another line, you need to change the sign and flip the fraction.

Your answer:

m = -2/3

Answer:

3/2 i'm pretty sure

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

48

Step-by-step explanation:

Take the second derivative, utilizing quotient and chain rule.

\( {g}^{'} = - \frac{8}{(2x - 1)^{3} } \\ {g''} = \frac{48}{(2x - 1)^{4} } \\ {g''(1)} = \frac{48}{(2(1) - 1)^{4} } = \frac{48}{1} = 48\)

The width of the rectangle is equal to 3.42 meters

Let the width of the rectangle be represented by the variable x

thus from the question we can say that the length of the rectangle is 3 + x

Given is the area of the rectangle

we know that the area of the rectangle is Length × Breadth

Given area of the rectangle = 22 square meters

thus Area = Length × Breadth

On substituting the value we get

22 = ( 3 + x ) ( x )

x² + 3x = 22

x² + 3x - 22 = 0

b² - 4ac = 9 + 88 = 97

thus - b ± \(\sqrt{b^{2} -4ac}\) / 2a

= - 3 ± 9.84 / 2

Thus the two values of x we will get are :

x= -12.84 / 2 = -6.42 which is rejected because width cant be negative

thus the value of x = 6.84 / 2 =3.42 meters

Thus we get values of x as

x =  3.42 meters

Thus the required width of the rectangle = 3.42 meters

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The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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Answer:

The bag costs 1500, while the umbrella cost 500

Step-by-step explanation:

Let the cost of the bag be b and the cost of the umbrella be u

Total cost is;

b + u = 2,000 •••••(i)

From the second part of the question;

b = 5u-1000 ••••••(ii)

Substitute ii into i

5u-1000 + u = 2000

6u = 2000 + 1000

6u = 3000

u = 3000/6

u = 500

To get b, substitute the value of u into equation ii

b = 5(500)-1000

b = 2500-1000

b = 1500

The total perimeter of the shape = 64.62 cm

The total area of the shape = 187.4cm²

Here,

we have,

in the given figure,

we get two shapes.

1st part:

it is a square with side = 11.6cm

so, perimeter = 4 * 11.6 = 46.4 cm

and, area = 11.6 * 11.6 = 134.56 cm²

2nd part:

it is a semicircle with diameter = 11.6 cm

so, perimeter = 1/2 × π × 11.6 = 18.22 cm

and, area = 1/2 × π × 11.6/2× 11.6/2  = 52.84 cm²

so, we get,

The total perimeter of the shape = 64.62 cm

The total area of the shape = 187.4cm²

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Answer:

B: 112.5

Step-by-step explanation:

first, we split up the rhombus into two triangles, with the height of 15 and the length of 7.5. when you multiply these you will get 112.5, and normally if you are just getting the area of the triangle, then you would divide it by two, but seeing that we have 2 triangles here, we would multiply it by two afterwards so an easier way to do it is just to not divide.

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

Answer:

The number of trucks required is 17.

Step-by-step explanation:

28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?

For the transportation of 28.5 kg, one truck is required.

Total mass = 484.5 kg

The number of trucks required is

n = total mass/ mass of one

\(n=\frac{484.5}{28.5}\\\\n = 17\)

Answer:

Step-by-step explanation: i thibnk 13

yeah i think its 13

x = 3

Divide each term by  3  and simplify.

Answer:

0.43 seconds

Step-by-step explanation:

Given Data

Initial height= 4feet

initial velocity u= 30ft per second

Final height = 17 feet

The distance travelled is the

Final-initial height

=17-4

=13ft

Hence the time taken is calculated using the expression below

Speed= distance/time

30=13/t

t= 13/30

t= 0.43 seconds

Hence the time taken is 0.43 seconds

As per the concept of combination method, there are 19,600 different ways in which the prizes can be awarded.

To solve this problem, we can use a combination formula. A combination is a selection of objects without regard to order. In other words, it doesn't matter which order the winning tickets are selected in - we just want to know how many different combinations of three tickets can be selected from fifty.

The combination formula is ⁿCₓ, where n is the total number of objects to choose from, and x is the number of objects to be chosen. In this case, n = 50 (the total number of tickets), and r = 3 (the number of winning tickets).

So, we can calculate the number of ways the prizes can be awarded using the following formula:

⁵⁰C₃ = 50! / (3! * (50-3)!)

Simplifying this equation, we get:

⁵⁰C₃ = (504948) / (321)

⁵⁰C₃ = 19,600

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Answer:

the 5y-23 equals 4  2x+13 equals 6.500

Step-by-step explanation:

thats what i worked out  and got

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

as cot is negative in 2nd quadrant.

Answer: For your work try to just find the X or missing sides. once you find that match it with the degrees connecting to the next question. repeat until you get to finish.

The answer is

=9/2

Hope this helps :)

Let's solve your equation step-by-step.

2x=9

Step 1: Divide both sides by 2.

\(\frac{2x}{2} =\frac{9}{2} \\Answer: x=\frac{9}{2} \\\)

Answer:

D I think

Step-by-step explanation:

if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D

Answer D

it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution

Answer:

The slope is increasing by+4

Step-by-step explanation:

Answer:

the slope of the line for y=12x+7 is steeper compared to the other equation

they both have the same y-intercept of y=7

Step-by-step explanation:

i just plugged it into desmos and looked at the graph

hope this helps <3

9 kilograms of cashews were mixed with 3 kilograms of nuts to make 12 kg of the mixture.

What are the arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's assume that x kilograms of cashews were mixed with (12 - x) kilograms of nuts costing $10 per kilogram to make 12 kg of the mixture.

The total cost of the cashews used in the mixture is 8x dollars, and the total cost of the nuts used is 10(12 - x) dollars. The total cost of the mixture is (12)(8.50) = 102 dollars.

Since the mixture contains 12 kg of nuts and cashews, we can set up the following equation to solve for x:

8x + 10(12 - x) = 102

Expanding the equation gives:

8x + 120 - 10x = 102

Simplifying and solving for x gives:

-2x + 120 = 102

-2x = -18

x = 9

Hence, 9 kilograms of cashews were mixed with 3 kilograms of nuts to make 12 kg of the mixture.

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Answer:

-2.83~

Step-by-step explanation:

google :)

Multiplying these values, we get V = 28,800 cm³. The volume of the cylinder is 28,800 cm³.

To calculate the volume of a cylinder, we need to know the formula for the volume of a cylinder, which is given by V = πr²h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.

In this case, we are given the cross-sectional area of the cylinder as 18 cm². The cross-sectional area of a cylinder is equal to the area of its base, which is a circle. The formula for the area of a circle is given by A = πr², where A is the area and r is the radius of the circle.

We are not directly given the radius, but we can find it using the cross-sectional area. Rearranging the formula for the area of a circle, we have r² = A/π. Plugging in the given cross-sectional area, we get r² = 18 cm² / π.

Now, we can calculate the radius by taking the square root of both sides: r = √(18 cm² / π).

Next, we are given the height of the cylinder as 16 m. However, since the cross-sectional area is given in square centimeters, we need to convert the height to centimeters by multiplying it by 100 to get 1600 cm.

Now that we have the radius (in cm) and the height (in cm), we can plug these values into the formula for the volume of a cylinder: V = πr²h. Substituting the values, we get V = π(√(18 cm² / π))² * 1600 cm.

Simplifying the equation, we have V = π(18 cm² / π) * 1600 cm.

The π cancels out, and we are left with V = 18 cm² * 1600 cm.

Multiplying these values, we get V = 28,800 cm³.

Therefore, the volume of the cylinder is 28,800 cm³.

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Answer:

A

Step-by-step explanation:

An example of acceleration is:

a bicyclist turning around a corner

----------------------

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Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20