two numbers that multiply to 36 and add to -20

Answer:

5/6 x 48 = 5 x 8=40

Step-by-step explanation:

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Answer:

40

Step-by-step explanation:

\( \frac{5}{6} \times 48 \\ \frac{5 \times 48}{6} \\ \frac{240}{6} = 40\)

Answer:

-14x+4x+11y-13y=-10x-2y

-2(5x+y)

Thank give branlist please

Answer:

–10x – 2y

in factorise form

–2(5x + y)

Step-by-step explanation:

–14x + 11y + 4x –13y

= –14x + 4x + 11y –13y

= –10x –2y

i hope this helps

The positive value of x is 6

An index, or power, is the small floating number that appears after a number or letter.

For example, x⁵ is an exponent expression. 5 is the index or power and x is the base. There are some rules that guides Indices.

25^(2x) = 5^(x²-12)

= 5^(4x) = 5^(x²-12

4x = x²-12

x²-4x -12 = 0

x² -6x +2x -12 = 0

(x²-6x) (2x-12) = 0

x( x-6) 2( x-6) = 0

(x+2)(x-6) = 0

x+2 = 0 or x-6 = 0

x = -2 or +6

therefore the positive value of x is 6

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The surface area of the shape is 117.8 km²

From the question, we are to determine the surface area of the figure

The given figure is a cone.

Total surface area of a cone  = Area of circular part + Curved surface area

Total surface area of a cone = πr² + πrl = πr(r + l)

Where r is the radius

and l is the slant height

From the given information,

r = 3 km

l = 9.5 km

The total surface area of the cone = π×3(3+9.5)

The total surface area of the cone = 3π(12.5)

The total surface area of the cone = 117.8 km²

Hence, the surface area of the shape is 117.8 km²

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Answer:

No

Step-by-step explanation:

The x-axis shows Craig's pitch speed in miles per hour.

The highest speed he did was between 70 to 75 mph. Craig's doesn't specify the speed in the histogram, so we can only be sure that Craig's fastest is between 70 to 75 mph.

The different ways in which she can jump up a set of five steps is: 4 + 3 + 1 = 8 ways.

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Here, the differences between permutation and combination are described in detail.

The given steps are 5.

Thus, we have the following possibilities:

For 1 double step and 3 single steps:

4! / 3! = 4

For 2 double steps and 1 single step:

3! / 2! (1!) = 3

For 5 single steps: 1 way

Thus, the different ways in which she can jump up a set of five steps is:

4 + 3 + 1 = 8 ways.

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0.578. is  the probability that the size of the family is at least 3.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.  

                                     Statistics describes the examination of events subject to probability.

P(X>=3) can be written as

= 1 - P(X<3)

= P(X<=2)

= 1-0.422

= 0.578

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Answer:

30

Step-by-step explanation:

Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.

To find the market equilibrium price and quantity, we need to set the supply and demand equations equal to each other.

The supply equation is Ps = 3Qs + 3, where Ps represents the price for suppliers and Qs represents the quantity supplied.

The demand equation is Pd = -6Qd + 30, where Pd represents the price for consumers and Qd represents the quantity demanded.

After the subsidy of $9 is given to rubber band consumers, the new demand equation becomes Pd = -6Qd + 21, as the subsidy decreases the price for consumers by $9.

a. To find the market equilibrium price, we set Ps equal to Pd:
3Qs + 3 = -6Qd + 21

b. To find the market equilibrium quantity, we solve for Qs or Qd:
3Qs + 3 = -6(3Qs + 21) + 21
Simplifying, we get 3Qs + 3 = -18Qs - 123
Combining like terms, we have 21Qs = -120
Dividing by 21, we find Qs = -120/21
Qs ≈ -5.71

Since the quantity cannot be negative, we round Qs down to zero.
Qs = 0

c. To find the consumer surplus, we need to find the area below the demand curve and above the equilibrium price. Since the equilibrium price is the same as the price with the subsidy, we can calculate the consumer surplus by finding the area of a triangle:
Consumer Surplus = (1/2) * (Equilibrium Quantity) * (Subsidy)
Consumer Surplus = (1/2) * (Qd) * (9)
Plugging in Qd = 0 (from part b), we get Consumer Surplus = 0.

d. To find the producer surplus, we need to find the area above the supply curve and below the equilibrium price. Since the equilibrium price is the same as the price with the subsidy, we can calculate the producer surplus by finding the area of a triangle:
Producer Surplus = (1/2) * (Equilibrium Quantity) * (Subsidy)
Producer Surplus = (1/2) * (Qs) * (9)
Plugging in Qs = 0 (from part b), we get Producer Surplus = 0.

e. The deadweight loss represents the loss of economic efficiency due to the subsidy. It can be calculated as the difference between the total surplus without the subsidy and the total surplus with the subsidy. In this case, since both the consumer surplus and producer surplus are zero, the deadweight loss is also zero.

f. The government expenditure is the total amount of money the government spends on the subsidy. In this case, the subsidy is $9, and since the quantity supplied is zero, the government expenditure is also zero.

g. The total surplus is the sum of the consumer surplus and the producer surplus. In this case, since both the consumer surplus and producer surplus are zero, the total surplus is also zero.

h. To draw and label a graph for this market, we need to plot the supply and demand curves. The supply curve is Ps = 3Qs + 3, and the demand curve is Pd = -6Qd + 21. The equilibrium price is the point where the supply and demand curves intersect. In this case, the equilibrium price is $3 and the equilibrium quantity is zero.

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The amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

In the equation given: y = (17 cm)cos(5.1 cmπ​x−14 sπ​t)

Part A: The amplitude of the wave is the coefficient of the cosine function, which is the value in front of it. In this case, the amplitude is 17 cm.

Amplitude (A) = 17 cm

Part B: The wavelength of the wave can be determined by looking at the argument of the cosine function. In this case, the argument is 5.1 cmπ​x. The wavelength is given by the formula:

λ = 2π / k

where k is the coefficient in front of x. In this case, k = 5.1 cmπ.

Wavelength (λ) = 2π / 5.1 cmπ ≈ 0.390 cm

Wavelength (λ) ≈ 0.390 cm

Part C: The period of the wave (T) is the time it takes for one complete oscillation. It can be calculated using the formula:

T = 2π / ω

where ω is the coefficient in front of t. In this case, ω = 14 sπ.

Period (T) = 2π / 14 sπ ≈ 0.449 s

Period (T) ≈ 0.449 s

Part D: The speed of the wave (v) can be calculated using the formula:

v = λ / T

where λ is the wavelength and T is the period.

Speed (v) = 0.390 cm / 0.449 s ≈ 0.868 cm/s

Speed (v) ≈ 0.868 cm/s

Therefore, the amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

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The simplified expression using the imaginary unit is √(2) * i - 3, where √(2) represents the positive square root of 2.

To simplify the expression √(-2) - 3 using the imaginary unit i, we need to work with the square root of a negative number, which involves using the concept of the imaginary unit.

Step 1: Evaluate √(-2)

Since the square root of -1 is defined as i, we can rewrite √(-2) as √(2) * i. This is because √(-1) = i and √2 is the positive square root of 2.

Step 2: Substitute the value of √(-2) into the expression

Replacing √(-2) with √(2) * i, the expression becomes √(2) * i - 3.

Step 3: Simplify further

The expression √(2) * i - 3 is already simplified and cannot be simplified any further since the terms involving the imaginary unit i and the real number 3 are not like terms.

Therefore, the simplified expression is √(2) * i - 3, where √(2) represents the positive square root of 2.

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At the grand opening, al's furniture store, there is offering spin wheel for discount. The probability that a customer gets a 10% or 20% discount is equals to the 0.75.

At the grand opening, al's furniture store, it offered a spin the wheel for a discount to its customers. The wheel is divided into 12 equal slices.

The percentage of discount awarded by 6 slices = 10%

The percentage of discount awarded by 3 slices = 20%

The percentage of discount awarded by 2 slices = 40%

The percentage of discount awarded by 1 slices

= 100%

We have to determine the probability that a customer gets a 10% or 20% discount. As we see all slices are independent to each other so events related to these also independent.

We have total 12 slices. Since, 6 slices awarded for 10% discount i.e. chances of getting 10% discount is equal = 6/12

Similarly, 3 slices awarded for 20% discount i.e. chances of getting 20% discount is 3/12.

Hence chances of getting 10% or 20% discount is

= P( X = 20%) + P( X= 10%)

= 6/12 + 3/12

= 1/2 + 1/4

= 0.50 + 0.25

= 0.75

Hence, required value is 0.75.

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An equation to represent the relationship between miles driven (y) and gallons of gas (x) used is \(28=ky\)

Given the following data:

Distance = 28 miles

To write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used:

In this exercise, we would assign a variable to the parameters stated in the question in order to write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used by Weston’s car during the trip.

Also, the amount of gas used up by a car is directly proportional to the distance traveled by the car. Mathematically, this is given by this expression:

\(x\; \alpha \;y\\ \\ x=ky\)

Substituting the given parameters into the formula, we have;

\(28=ky\)

Note: k is the constant of proportionality.

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Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

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The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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Answer:

1. f(4) or f(n)= 28

2. f(-2) or f(n)= -2

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Step-by-step explanation:

n=4                           n=-2

f(n)= 5(n)+8              f(n)= 5(n)+8

f(n)= 5(4)+8              f(n)= 5(-2)+8

(n)= 20+8                 f(n)= -10+8

f(n)=28                      f(n)=-2

How long will the pink border be?

Given dimensions of the ribbon

\( \boxed{ \rm \: perimeter = 2 \times (length + \: breadth) }\)

\( \rm \: perimeter = 2 \times (7.4 + 4.4)\)

\( \rm \: perimeter = 2 \times 11.8\)

\( \rm \: perimeter = 23.6 m\)

➪ The pink border will be 23.6 meter long...~

If she has to make 5 birthday cards, how much ribbon will be required?

To find this, We need to multiply the length of 1 ribbon by the number of ribbons whose length we have to find..

\( \sf \to \: 5 \: ribbons = 23.6 \times 5\)

\( \sf \nrightarrow \: 5 \: ribbons = 118 \: m\)

➪ Therefore, She will require 118 meters lf ribbon to make 5 birtday cards...~

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:

Step-by-step explanation:

m= 1/2

this is answer ..........

hope it helps

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Answer:

M = 5/6

Step-by-step explanation:

m-m-1/2=1-m-2/3

You combine like terms, in this case, the m-m and 1-2/3.

-1/2 = -m + 1/3

Now you need to isolate the m so you subtract 1/3 from both sides.

-1/3 - 1/2 = -m

Combine like terms again.

-5/6 = -m

But m needs to be positive so you divide both sides by -1.

m = 5/6

This should be the answer!

The required differential equation is x'' + 0.67x' + 2.33x = 0.

The standard differential equation, which we use to represent a damped spring-mass system is written as:

m(d²x/dt²) + c(dx/dt) + kx = 0,

where m is the mass, c is the damping coefficient, k is the spring constant, x is the d²splacement, and the equation has been derived with respect to time t.

In the question, the

mass m = 3 kg,

spring constant k = 7 N/m,

damping constant c = 2N-s/m.

Differentiating x with time t, we take (d²x/dt²) = x'', and (dx/dt) = x'.

Substituting all the values in the standard differential equation, we get:

3x'' + 2x' + 7x = 0,

or, x'' + (2/3)x' + (7/3)x = 0 {Dividing by 3},

or, x'' + 0.67x' + 2.33x = 0, which is the required differential equation.

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The provided question is incorrect. The correct question is:

"Suppose a spring with a spring constant of 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 2 N⋅s/m. Set up a differential equation that describes this system. Let x denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x′, x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium."

Answer:

19.8

Step-by-step explanation:

Answer:

first you do 11-3 to get 8. then you multiply 8 and 6 to get 48

Answer:

3०3333333333333333

43

Answer:

substitution property of equality

Step-by-step explanation:

im assuming this means that you substitute x's value of 2 into the equation y=3x2-11. i'm guessing that it's meant to be 3x2, instead of 3.2. i hope this makes sense, and i hope i answered it as you needed!

Answer:

substitution property of equality

Step-by-step explanation:

if

  x = 2

  y = 3x - 11

then

  y = 3 x 2 - 11

2 was substituted for x

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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72% of 5 meters 75 centimeters is 414 centimeters.

To find 72% of 5 meters 75 centimeters, we need to first convert the measurement to a single unit. One meter is equal to 100 centimeters, so:

5 meters 75 centimeters = (5 x 100) + 75 = 575 centimeters

Now we can find 72% of 575 centimeters:

72% = 72/100 = 0.72

0.72 x 575 = 414

what is measurement?

Measurement is the process of quantifying and assigning a numerical value to an attribute of an object or event, typically expressed in a particular unit of measurement. It involves using a standardized system to quantify physical quantities, such as length, weight, time, volume, and temperature. The units of measurement can vary depending on the context, such as using meters to measure distance or Celsius to measure temperature. Accurate measurement is essential in fields such as science, engineering, and commerce.

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Answer: From the passage, we can conclude that Tuan has had a strenuous basketball workout and has also done an hour's worth of weight-training exercises, which suggests that he has had a physically demanding day. Additionally, it is mentioned that he is experiencing some tiredness towards the end of the day, which is not uncommon after such an active day. Therefore, we can conclude that Tuan is experiencing physical fatigue or tiredness due to his physical activity.

Step-by-step explanation: