5<2y<12 where y is an integer.
Write down all the possible values of y.

Answer:

80%

Step-by-step explanation:

1. We assume, that the number 56 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 56, so we can write it down as 100%=56.

4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.

5. Now we have two simple equations:

1) 100%=56

2) x%=44.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=56/44.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 56

100%/x%=56/44.8

(100/x)*x=(56/44.8)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

44.8 is 80% of 56

Answer:

Hi there!!

Your answer is:

44.8 is 80% of 56!

Step-by-step explanation:

56 = 100%

/56

1 = 1 &11/14

×44.8

44.8 = 80%

I hope this helps!

Answer:

y^9.

Step-by-step explanation:

\(y^3\) + \(y^6\) = \(y^{3 + 6}\) = \(y^9\)

Hope this helps!

Answer:

y^9

Step-by-step explanation:

I think you meant (y^3)(y^6).  Since the base (y) is the same in each factor, we just add the exponents:

(y^3)(y^6) = y^9

Answer:

since traingleABC~ADE

AB/BD=BC/DE

9/15=3/X

9X=15×3

X=15×3/9=5

The value of x is 5 units.

We need to solve for x, from the given figure.

Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Now, in ΔABC and ΔADE

∠B=∠D=90°

∠EAD=∠CAB (common angles)

So, from AA similarity ABC~ADE

Then, AB/AD=BC/DE

9/15=3/x

9X=15×3

X=15×3/9=5 units

Therefore, the value of x is 5 units.

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Based on the given information, we have the mean concentration of sodium in the drinking water of a water system in Connecticut as 26.4 mg/l and the standard deviation as 6 mg/l.

The water department selects a simple random sample of 32 water specimens over the course of a year. To answer the question using the distributions tool, we need to set the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations.

The expected mean for the distribution of sample mean concentrations is the same as the mean concentration of sodium in the drinking water, which is 26.4 mg/l.

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The water department in Connecticut is monitoring the concentration of sodium in their drinking water. By calculating the mean and standard error for the distribution of sample means, they can determine the probability of the mean concentration exceeding the notification level of 28 mg/l. If this probability is low, the water department will notify the public and recommend necessary actions.

In this scenario, the water department in Connecticut wants to monitor the concentration of sodium in their drinking water. They have set a notification level of 28 mg/l, meaning that if the mean concentration of sodium across a sample of 32 water specimens exceeds this level, they will notify the public.

To analyze this situation, we can use the distribution of sample means. The mean concentration of sodium in the drinking water of the water system is given as 26.4 mg/l, with a standard deviation of 6 mg/l.

To find the expected mean and standard error for the distribution of sample means, we can use the following formulas:

Expected mean of sample means = population mean

                                                        = 26.4 mg/l
Standard error of sample means = population standard deviation / square root of sample size

Using the given values, the standard error of sample means can be calculated as follows:
Standard error of sample means = 6 mg/l / square root of 32

                                                      ≈ 1.06 mg/l

Now, we can use a distributions tool to find the probability that the mean concentration of sodium in the sample of 32 water specimens exceeds 28 mg/l. We will set the mean parameter on the tool to 26.4 mg/l and the standard deviation parameter to 1.06 mg/l.

By entering these values into the distributions tool, we can find the probability of obtaining a mean concentration greater than 28 mg/l. If this probability is less than a certain threshold (e.g., 0.05), it indicates that the mean concentration exceeding 28 mg/l is unlikely to occur by chance alone. In such cases, the water department would notify the public and recommend that individuals on sodium-restricted diets inform their physicians of the sodium content in their drinking water.

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The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion. In this case, the original conditional statement has a true hypothesis but a false conclusion. When we negate both parts to form the inverse, the hypothesis will become false and the conclusion will also be negated.

Now, whether the inverse is true or false depends on the specific situation and the logical relationship between the hypothesis and the conclusion. The inverse of a true statement does not necessarily have to be true. It is possible for the inverse to be true or false.

To determine the truth value of the inverse, we need to consider whether the negated hypothesis and negated conclusion lead to a valid logical relationship. If the inverse statement has a valid logical relationship, then it is true. However, if the inverse statement does not maintain a logical relationship, then it is false.

In summary, the truth value of the inverse cannot be determined solely based on the information that the original conditional statement has a true hypothesis but a false conclusion. Further examination of the logical relationship between the hypothesis and conclusion is required to determine the truth value of the inverse.

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Answer:

20/27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:  x²−9

Step-by-step explanation:

A square number is obtained ehen we multiply a number to itself.

For example: 5 × 5 = 5² = 25 [It is a square number]

We can do this in expression too, For example: z×z =z²

From all the given options, only x²−9 has both terms as square.

∵ x² = x × x

and 9 = 3×3= 3²

So that,  x²−9  =(x)²-(3)²

Hence, the correct option is x²−9.

The length of the base of the triangle with are 3/10 m² is 3/2 m.

Given that the area of the triangle is 3/10 square meters and the height (perpendicular) is 2/5 meters, we can use the formula for the area of a triangle:

Area = (1/2) × base × height

Substituting the known values, we have:

3/10 = (1/2) × base × (2/5)

To find the length of the base (base), we can solve for it:

base = (3/10) / [(1/2) × (2/5)]

base = (3/10) / (1/5)

base = (3/10) × (5/1)

base = (3/2)

Therefore, the length of the base of the triangle is indeed 3/2 meters (expressed as a fraction in simplest form).

Complete Question: The area of the triangle below is (3)/(10) square meters and height being 2/5 m.. What is the length of the base? Express your answer as a fraction in simplest form.

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The angle A and D will be equal by the help of side angle side theorm.

What is side angle side theorem?

The Side-Angle-Side (SAS) theorem is a concept in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. In other words, if two triangles have the same length of two sides and the angle between those sides is also the same, then the two triangles are identical in shape and size. The SAS theorem is one of the several postulates that can be used to prove congruence between two triangles.

The angle ABC is equal to angle DBE by vertical opposite angle

AC  is equal to DE

and CB is equal to EB

therefore angle A and angle D

Congruent triangles are triangles that have the same shape and size. When two triangles are congruent, it means that they have the same angles and side lengths. In other words, they are identical in every way, and one can be superimposed onto the other by rotating, reflecting or translating.

There are several ways to prove that two triangles are congruent, including:

Side-Side-Side (SSS) theorem: if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

Side-Angle-Side (SAS) theorem: if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Angle-Side-Angle (ASA) theorem: if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

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The only value of x where f'(x) = 0 is x = 0.

To find all values of x where f'(x) = 0 for the function f(x) = arcsin\((e²ˣ − 2x)\)\(

(e²ˣ − 2x)/tex], we'll first find the derivative f'(x), then solve for x when f'(x) = 0.

Find the derivative f'(x) using the chain rule:
f'(x) = (d(arcsin(u))/du) * (du/dx)
where u = (e²ˣ − 2x)

Find du/dx:
du/dx = d(e²ˣ − 2x)/dx = 2e²ˣ  - 2

Find d(arcsin(u))/du:

d(arcsin(u))/du = 1/√(1 − u²)

Combine the derivatives using the chain rule:
f'(x) = (1/(1 − u²)) * (2e²ˣ - 2)

Substitute u back into the expression:
f'(x) = (1/√(1 − (e²ˣ − 2x)²)) * (2e²ˣ − 2)

Solve for x when f'(x) = 0:
(1/√(1 − (e²ˣ − 2x)²))*(2e²ˣ − 2)= 0

The only way this equation can equal zero is if the term (2e²ˣ − 2) equals zero:

(2e²ˣ − 2) = 0
2e²ˣ= 2
e²ˣ = 1

Recall that e^0 = 1, so:

2x = 0
x = 0

Therefore, the only value of x where f'(x) = 0 for the function f(x) = arcsin(e²ˣ − 2x) is x = 0.

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Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

put 12.4* 20 and you get D

The required solution of the given function is \((2)^{\frac{3}{2} } \\\\\).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given function is

\(f(x)=x^{3} , g(x)=\sqrt{x} ,h(x)=x/3\)

According to given question we have

The function is

\(f(x)=x^{3} , g(x)=\sqrt{x} ,h(x)=x/3\\\\\)

By put the value of x= 6 in h(x) we get

h(6)= 6/3

h(6)= 2

So,

g(h(x))=g(h(6))

g(h(6))= \(\sqrt{2}\)

Again ,

f(g(h(x)))=f(g(h(6)))

f(g(h(6)))=

\((\sqrt{2} ^{3} )\\\\=(2)^{\frac{3}{2} } \\\\\)

Therefore, the required solution of the given function is \((2)^{\frac{3}{2} } \\\\\).

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Answer:

You need to be specific on which is the length, height and width. Making the most basic assumption I would have to assume the answer is 228

Step-by-step explanation:

Formula for the surface area of a rectangular prism is A=2(wl+hl+hw)

A = 2 x (9 x 6 + 4 x 6 + 4 x 9)

A = 2 x (54 + 24 + 36)

A = 2 (114)

A = 228

Answer:

.82

Step-by-step explanation:

Answer:

8.728

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.

After calculations, it is determined that the required spacing of the closed stirrups is approximately 6 inches.

To determine the required spacing of closed stirrups for the given beam, we need to consider the factored shear and factored torsional moment. The formula for calculating the spacing of closed stirrups is given by:

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

where:

s = spacing of stirrups

f'c = specified compressive strength of concrete

fy = specified yield strength of steel reinforcement

Av = area of one closed stirrup

b = width of the beam

d = effective depth of the beam

Given information:

Width (b) = 15 in.

Effective depth (d) = 26.5 in.

Factored shear = 80 kips

Factored torsional moment = 50 ft-kips

Stirrup centroid from concrete face = 1.75 in.

No. 4 (no. 13) closed stirrup size = 0.2 square inches

First, we need to calculate the area of one closed stirrup:

Av = (No. of stirrups) * (Area of one stirrup)

Av = (2) * (0.2 square inches)

Av = 0.4 square inches

Next, we can substitute the values into the formula to calculate the spacing (s):

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

Assuming f'c = 4 ksi (common value for concrete strength) and fy = 60 ksi (common value for steel reinforcement strength), we can calculate:

s = (0.75√(4) / 60) * (0.4 / (15 * 26.5 - 2s))

Simplifying the equation, we get:

s = 0.0986 / (397.5 - 30s)

To solve for s, we can use an iterative approach or trial and error method. By substituting different values of s into the equation, we can find the spacing that satisfies the equation.

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The distance between the nickel and the dime is approximately 6.708 x 10^(-3) meters.

To calculate the distance between the two charged objects, we can use Coulomb's law, which relates the electric force between two charged objects to the magnitude of their charges and the distance between them.

Coulomb's law states:

F = (k * |q1 * q2|) / r^2

Where:

F is the magnitude of the electric force,

k is the electrostatic constant (k = 9 x 10^9 N m^2/C^2),

|q1| and |q2| are the magnitudes of the charges,

and r is the distance between the charges.

Given the following information:

Charge on the nickel (q1) = -1 x 10^(-9) C

Charge on the dime (q2) = 1 x 10^(-11) C

Magnitude of the electric force (F) = 2 x 10^(-6) N

Electrostatic constant (k) = 9 x 10^9 N m^2/C^2

We can rearrange Coulomb's law to solve for the distance (r):

r = √((k * |q1 * q2|) / F)

Substituting the given values into the equation:

r = √((9 x 10^9 N m^2/C^2 * |-1 x 10^(-9) C * 1 x 10^(-11) C|) / (2 x 10^(-6) N))

Simplifying:

r = √((9 x 10^9 N m^2/C^2 * 1 x 10^(-20) C^2) / (2 x 10^(-6) N))

r = √((9 x 10^(-11) N m^2) / (2 x 10^(-6) N))

r = √((9/2) x 10^(-11-(-6)) m^2)

r = √((9/2) x 10^(-5) m^2)

r = √(4.5 x 10^(-5) m^2)

r = 6.708 x 10^(-3) m

Therefore, the distance between the nickel and the dime is approximately 6.708 x 10^(-3) meters.

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Answer:

the last one

Step-by-step explanation:

Answer:

X-axis

Step-by-step explanation:

Maybe

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

$3,600

Simple interest is the amount of money earned based on the initial amount invested.

Simple Interest Formula

The formula for simple interest is A = P(1 + rt). Let's define each of these variables.

To solve for simple interest, we need to plug in the information we are given.

Solving Simple Interest

In the question, we're told that $3000 is the initial amount deposited, so P = 3000. The rate is 2%, which means that r = 0.02. Also, this interest is earned over 10 years, thus t = 10. Now, plug this into the formula above.

Then, just simplify the right side of the equation.

This means that after 10 years, there will be a total of $3600 in the account.

Answer:

-41.1 feet

Step-by-step explanation:

-32.5-8.6=-41.1

1/2=0.5

3/5=6/10=0.6

The remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

The polynomial function is given as:

P(x) = 3x^3 + 27x^2 + 18x - 168

The dividend is given as:

x - 4

Set the dividend to 0

x - 4 = 0

Add 4 to both sides

x = 4

Substitute x = 4 in P(x) = 3x^3 + 27x^2 + 18x - 168

P(4) = 3 * 4^3 + 27 * 4^2 + 18 * 4 - 168

Evaluate

P(4) = 528

Hence, the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

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Answer:

528

Step-by-step explanation:

Answer:

14.60

Step-by-step explanation:

Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.

First, solve for the amount of centimeters total in 20 months:

8 centimeter per month x 20 months = 160 centimeters per 20 months.

Remember, there are 100 centimeters in every meter. Therefore:

160 centimeter/ 100 centimeters per meter = 1.60 meters.

Add the growth to the original height:

13.00 + 1.60 = 14.60

14.60 meters is your answer.

~

Answer:

91

Step-by-step explanation:

The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:

a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.

b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.

c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.

d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.

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Answer:

-10, 4

Step-by-step explanation:

to solve this equation we need to plug in each set of coordinates

there is one in particular that does not fit

-10, 4

when plugged in it turns into

4 > 10 - 3

4 > 7

that is not true