Please help I will give brainliest to whomever's answer is correct

Answer:

What value of x is in the solution set of 3(x - 4) = 5x + 2?

Solution:

3(x - 4) = 5x + 2 [Given]

Using the distributive law of multiplication on LHS

3x - 12 = 5x + 2

By grouping the similar terms on either sides and solving for x, we get

3x - 5x = 2 + 12

- 2x = 14

Divide both sides by -2 (by division property of equality)

(- 2x/2 )= 14/2

-x = 7

Therefore, the value of x is -7.

Answer:

a= -2

Step-by-step explanation:

Answer: a = -2

Step-by-step explanation: Provided in the attachment.

The correct choice is option B
25% of fans of "Despicable Me" also enjoy Wendy's

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Percentage of fans of Despicable Me who also enjoy Wendy's =

From the table, 7 people adore Wendy's and Despicable Me.

Total Despicable Me fans = 10 + 11 + 7 = 28

percent of fans of Despicable Me also enjoy Wendy's = (7 / 28) * 100 = 25%

Therefore, 25% of despicable me lovers also like wendy's

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We have to use the theorem about the angles formed by two intersecting chords.

Then, we find the supplement of x, which is c.

Angle c measures 96°.

Then, we use the inscribed angle theorem to find b

At last, we use the interior angles theorem to find a

Answer:

x<-5

Step-by-step explanation:

Subtract 15 from both sides, divide both sides by 5

Answer:

if x = (-3)  then -10 is less

Step-by-step explanation:

The value of m<1 is 65 degrees

From the diagram shown, we have that;

It is important to note that angles on a straight line sum up to 180 degrees

Also, corresponding angles are equal

Then, we have that;

m<2 + m<3 = 180°

Substitute the values

9x + 7 + 5x + 5 = 180

collect like terms

14x = 180 - 12

14x = 168

Make 'x' the subject

x = 168/ 14

x = 12

We have that;

m<3 = 5x + 5 = 5(12) + 5 = 60 + 5 = 65

But m<3 = m<1

m<1 = 65

Thus, the value of m<1 is 65 degrees

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

a

Step-by-step explanation:

its a because its just a

Using the normal distribution, it is found that the standard deviation is of 26.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, we have that the mean is of \(\mu = 95\), while X = 110 has a p-value of 0.75, hence X = 110, Z = 0.575, and then we solve for \(\sigma\) to find the standard deviation.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.575 = \frac{110 - 95}{\sigma}\)

\(0.575\sigma = 15\)

\(\sigma = \frac{15}{0.575}\)

\(\sigma = 26\)

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The area of the Trapezium given in the question is 28ft²

The area of a trapezium is calculated using the relation :

Using the parameters given for our compuation:

height, h = 4

b1 = 9

b2 = 5

Inputting the parameters into our formula :

Area = 4/2(5 + 9)

Area = 2(14)

Area = 28ft²

Therefore, the area of the Trapezium is 28ft²

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The unit normal vector to the surface at the point (1, 2, 1) is u = (1/√24)i + (2/√24)j + (1/√24)k.

To find a unit normal vector to the surface at the given point x^2 + y^2 + z^2 = 6 at (1, 2, 1), we need to normalize the gradient vector ∇f(x, y, z).

The gradient vector ∇f(x, y, z) of the given surface is:

∇f(x, y, z) = 2xi + 2yj + 2zk

Substituting the given point (1, 2, 1) into ∇f(x, y, z), we get:

∇f(1, 2, 1) = 2i + 4j + 2k

To normalize this vector, we first find its magnitude:

|∇f(1, 2, 1)| = √(2^2 + 4^2 + 2^2) = √24

Then, we divide each component of the vector by its magnitude to obtain the unit vector:

u = (1/√24)i + (2/√24)j + (1/√24)k

Therefore, the unit normal vector to the surface at the point (1, 2, 1) is u = (1/√24)i + (2/√24)j + (1/√24)k.

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Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

18x + 16

Step-by-step explanation:

2 x length + 2 x width = perimeter

2(5x + 2) + 2(4x + 6)

= 10x + 4 + 8x + 12

= 18x + 16

Given:

Required:

To

Answer:

g = - 43

Step-by-step explanation:

Comment

f(x) = -2x^2 + 2x  - 3

f(5) means that wherever you see an x on the right hand side (because x is given inside the brackets on the left), you put a 5 because x = 5

Solution

f(5) = -2*(5)^2 + 2(5) - 3

f(5) = -2(25) + 10 - 3

f(5) = -50 + 10 - 3

f(5) = -43

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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The value of x for the given algebraic expression will be 9.

A mathematical expression that includes variables, constants, and algebraic operations (addition, subtraction, etc.) is known as an algebraic expression. Terms are used to construct expressions.

For instance, the formula for a rectangle's area (A) can be written as (l * b), where 'l' stands for the rectangle's length and 'b' for its width.  It can be represented as

A = l*b

Given algebraic expression is

\(\frac{x}{15} = \frac{12}{20}\)

Cross multiplying terms,

20*x = 15*12

Then, value of x will be

x= \(\frac{15*12}{20}\)

x= 9

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Answer:

15

Step-by-step explanation:

\(\frac{150x10}{100}\)=\(\frac{1500}{100}\)=15

Answer:

\(19.79 - 2.8 = 16.99gallons\)

Answer:

C

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

because rational are those numbers that are the same continuesly

There is a 0.087 = 8.73% chance that four arrivals will occur at the same half-hour.

In which case,

x represents the number of successes.

The Euler number is e = 2.71828 = 2.72

μ is the average over the given time interval.

With a rate parameter of five per hour, the Poisson process is used.

So, μ = 5

The likelihood of exactly four arrivals occurring at the same time;

This is known as P(X = 4).

Put the values in the formula;

P(X = x) = (e∧(-μ)× μˣ) / x!

P(X = 4) = (2.72∧(-5)× 5⁴) / 4!

Simplifying the equation;

P(X = 4) = 0.08736

P(X = 4) = 8.73%

0.087 = 8.73% chance that exactly four arrivals happen during a specific half -hour.

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Answer:

Option D is the right option.

Solution,

\( \frac{6x}{7} - \frac{2x}{7} \\ = \frac{6x - 2x}{7} \\ = \frac{4x}{7} \)

hope this helps...

Good luck on your assignment...

Answer:

\(= \frac{4x}{7} \\ \\ \)

Step-by-step explanation:

\( \frac{6x}{7} - \frac{2x}{7} \\ \frac{6x - 2x}{7} \\ = \frac{4x}{7} \)

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

y = 4x + 2

Step-by-step explanation:

This is the formula:  \(y - y_{1} = m(x - x_{1})\)

y - 2 = 4(x - 0) (distribute the 4)

y - 2 = 4x (add 2 on both sides)

y = 4x + 2

That's all she wrote!

Hope this helps ya!!

The expression is equivalent to \(\rm 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)\).

Expression; \(2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )\)

Which expressions are equivalent to the given expression.

Expression; \(2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )\)

To solve the given expression follow all the steps given below.

By applying the distributive property of multiplication;

\(\rm a(b+c) = ab +ac\)

Then,

The equivalent expression is,

\(= 2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )\\ \\ = ( 2 \times \dfrac{3}{4}x) + ( 2\times 7 ) -(3 \times \dfrac{1}{2}x)-( 3 \times - 5 )\\ \\ = 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)\)

Hence, the expression is equivalent to \(\rm 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)\).

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Answer:

c and the last one

Answer: x > 2

Step-by-step explanation:

3x + 5 < 6x - 1

SUBTRACT 6xFROM BOTH SIDES

-3x + 5 < -1

SUBTRACT 5 FROM BOTH SIDES

-3x < -6

DIVIDE BOTH SIDES BY -3

x > 2

Answer:

Step-by-step explanation:

You basically want to remove either the +5 or the -1, I suggest removing -1:

To remove, add 1 to each side:

3x+5+1 < 6x-1+1

Which is,

3x+6 < 6x

Now you want to collect all like terms (get all the Xs on one side):

6 < 6x-3x

6 < 3x

Finally, you want to treat the ‘<‘ symbol as ‘=‘ :

6 = 3x

6/3 = x

x = 2

To check, you can substitute the x back in and both sides should be the same:

3(2)+5 < 6(2)-1

11 = 11

Toby cycles 12 miles each day.

To find out how far Toby cycles each day, we need to add up the distance he covers during his morning and afternoon trips. Here are the steps we need to follow:

Step 1: Determine Toby's cycling distance from his house to his schoolDistance from Toby's house to his school = 4 miles west. Toby bicycles this distance every day. Therefore, his one-way cycling distance from home to school is 4 miles.

Step 2: Determine Toby's cycling distance from his school to Erica's house.Distance from Toby's school to Erica's house = 3 miles south. Toby cycles this distance every day after school. Therefore, his one-way cycling distance from school to Erica's house is 3 miles.

Step 3: Determine Toby's cycling distance from Erica's house to his house.Distance from Erica's house to Toby's house = we don't know. But we know that Toby takes a bike path that goes straight from Erica's house to his own house. Therefore, we can assume that the distance from Erica's house to Toby's house is the hypotenuse of a right-angled triangle with legs of 3 miles (south) and 4 miles (west).

We can use the Pythagorean Theorem to find the hypotenuse: c2 = a2 + b2c2 = 32 + 42c2 = 9 + 16c2 = 25c = √25c = 5 milesTherefore, Toby cycles 5 miles every day on his bike path from Erica's house to his own house.Step 4: Add up Toby's one-way cycling distances to find out how far he cycles each day.Toby's one-way cycling distance from home to school = 4 milesToby's one-way cycling distance from school to Erica's house = 3 milesToby's one-way cycling distance from Erica's house to his house = 5 milesTotal cycling distance = 4 + 3 + 5Total cycling distance = 12 miles.

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Answer:

her distance would be 0 after 8 hours since 8*3 = 24 and just add a zeor behind the 24 from the 30

Step-by-step explanation:

Answer:

78 + b

Step-by-step explanation:

he had 78 and he added the unknown amount or b

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