step by step 6x + 3y = 12

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Answer:

the answer is 2508

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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The evaluation of the given Boolean expressions are:

a) A && !B =  false              b) B∥C = true

c) B==C = false                   d) A&&!C = true

e) (B∥C)&&(!A) =  false        f) (A!=B)∥(B!=C)  = true

Information available in the problem:

A = true

B = true

C = true

a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

A && !B = true && false = false

b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.

Hence,

B∥C = true ∥ false = true

c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.

Hence,

B==C = true == false = false

d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.

Hence,

A&&!C = true && !false = true && true = true

e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.

Since A is true and !A (which means "not A") is false, !A evaluates to false.

Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

(B∥C)&&(!A) = true && false = false

f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.

Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.

Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.

Hence,

(A!=B)∥(B!=C) = false ∥ true = true

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Answer:

\(\boxed{\int\limits^b_c {f(x)} \, dx = -5}\)

.

Step-by-step explanation:

\(\int\limits^a_c {f(x)} \, dx + \int\limits^b_a {f(x)} \, dx = 0 + (-5)\)

\(\int\limits^b_c {f(x)} \, dx = -5\)

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

11 hours and 15 minutes (11.25)

Step-by-step explanation:

make a ratio

160:4.5

240/160=1.5

so 1 and 1/2 intervals of 4.5 hours

4.5+4.5= 9

4.5/2=2.25

9+2.25=11.25

The solution is 3.75 hours

The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the equation be represented as A

Now , the value of A is

Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours

Distance = 160 miles

Time = 2.5 hours

So , the speed = distance / time

Substituting the values in the equation , we get

Speed = 160 / 2.5

Speed = 64 miles / hour

Now , the new distance = 240 miles

So , the Time required = Distance / Speed

Substituting the values in the equation , we get

Time required A = 240 / 64

Time required A = 3.75 hours

Therefore , the value of A is 3.75 hours

Hence , the time taken with a speed of 64 mph is 3.75 hours

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Answer:

1. A≈ 78.54

2. A≈201.06

Step-by-step explanation:

1) A=πr2=π·52≈78.53982

2)

A=1

4πd2=1

4·π·162≈201.06193

Answer:

fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS

Step-by-step explanation:

7 divided by 2 = 3.5

3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465

ROUND IT AND GET 38.47

Answer:

The two inequality are : x ≤  100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

Step-by-step explanation:

Answer:

Hi so the answer to this equation is:

60 _< x _< 100

Step-by-step explanation:

Sorry if it looks a little complicated, another way of phrasing it would be 60 less than or equel to x less than or equel to 100. I think this is the answer because she only has 100 braclets so she cant sell more than that, hence less than or equel to 100. and i believe it is 60 because if she sells each braclet for 5 dollars and her goal is 300, 60 would allow her to reach her goal because 5 x 60 = 300. and she needs to earn at least 300 buckaroos for her fundraiser.

Im not super great with algebra but i hope this is right and that it helps you

peace✌

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer:

...................................

Step-by-step explanation:...................................

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:

the perimeter in unites of abc with 3, -3 is a

Answer:

18 Units

Step-by-step explanation:

According to the calculator

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

\(H_o: \mu = 8\)

The alternative hypothesis is:

\(H_1 : \mu \ne 8\)

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = \(\sqrt{0.03} = 0.173\)

The t-test statistics is computed as:

\(t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}\)

\(t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}\)

\(t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}\)

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

\(t_{critical} = -2.728 \ and \ 2.728\)

Decision rule: To reject \(H_o\) if  \(t< -2.728 \ or \ t > 2.728\)

As \(t_{statistics}\) fails the rejection region, we reject \(H_o\)

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.

There is enough evidence that the machine should be stopped and production wait for repairs.

Let the population mean be denoted by \(\mu\)

Null hypothesis: \(\mu = 8\) (that is, machine needs no repair and working fine)

Alternate hypothesis: \(\mu \neq 8\) (that is, machine is not dispensing right amount and need repairs)

Using t test:

\(t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}\)

\(t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821\)

Degree of freedom = sample size - 1 = 34

Level of significance = \(\alpha = 1 -0.99 = 0.01\)

From t tables we have:

\(t_{critical} = t_{0.01} = \pm 0.278\) (two tailed test) (at 34 degree of freedom)

Since obtained value of t -0.30821 is less than the minimum value of range \((-0.278, 0.278)\), thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.

Thus, there is enough evidence that the machine should be stopped and production wait for repairs.

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Answer:

4500

Step-by-step explanation:

multiply the amount of times the heart beats every minute and multiply it by how many minutes which is 60 so 75 times 60 is 4500

Answer:

c

Step-by-step explanation:

i got it right =)

Answer:

17000

Step-by-step explanation:

17^1 * 10^3

17 * 10*10*10

17*1000

17000

the answer is 17,000

the exponent shows how many times you multiply the number by itself

here is an image for an explanation

hope I helped ❤

Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Answer:

Step-by-step explanation:

The circle has a circumference:

This the is arc of full length θ = 360°

Each degree of arc length is:

We have:

The arc length is:

The same arc is:

Answer:

Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle, of length l and height h, is given by:

\(A = lh\)

The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet.

This means that \(l = 16.5, h = 8.625\)

Estimate of the area:

To use an "easy" multiplication, lets consider \(l = 17, h = 9\). So

\(A = lh = 17(9) = 153\)

Cameron determines the area of the wall to be 1423.125 square feet.

Very far from the area of 153, which means that he made a confusion with the decimal places. Thus, the correct answer is:

Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.

Answer:

Step-by-step explanation:

Let "y" be the amount of the bidder's bid. Then, the probability density function of "x" is:

f(x) = 1/5000 for 25000 ≤ x ≤ 30000

= 0 otherwise

The probability that the bidder's bid "y" is accepted is:

P(y > 25000 and y > x) = P(y > 25000) * P(y > x | y > 25000)

= 1 * P(y > x - 25000)

= (30000 - (x-25000)) / 5000

= (55000 - x) / 5000 for 25000 ≤ x ≤ 30000

= 0 otherwise

If you bid $22,000, your bid will not be accepted since it is below the minimum acceptable bid of $25,000.

The probability that your bid will be accepted when you bid $24,000 is 0.2.

The amount to maximize the probability that you get the property is $25,001.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Let X be the random variable representing the competitor's bid, which is uniformly distributed between 25,000 and 30,000 dollars.

If you bid $22,000, your bid will not be accepted regardless of the competitor's bid, since it is below the minimum acceptable bid of $25,000.

If you bid $24,000, your bid will be accepted only if the competitor's bid is less than or equal to $25,000, since the highest bid in excess of $25,000 will be accepted.

The probability of this happening is:

P(X ≤ 25,000) = (25,000 - 24,000) / (30,000 - 25,000) = 0.2

To maximize the probability of getting the property, you should bid the minimum amount that will guarantee your bid is greater than the competitor's bid, which is $25,001.

The probability of your bid being accepted in this case is:

P(X ≤ 25,001) = (25,001 - 25,000) / (30,000 - 25,000) = 0.2

So, by bidding $25,001, you maximize the probability of getting the property.

Thus,

If you bid $22,000, your bid will not be accepted since it is below the minimum acceptable bid of $25,000.

The probability that your bid will be accepted when you bid $24,000 is 0.2.

The amount to maximize the probability that you get the property is $25,001.

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The complete question.

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $25,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $25,000 and $30,000.

Suppose you bid $22,000 what is the probability that your bid will be accepted.

Suppose you bid $24,000 what is the probability that your bid will be accepted.

What amount should you bid in dollar to maximize the probability that you get the property.

Answer: I'd be happy to help you with these problems!

1a.

i. Cardinal: There were 10 apples in the basket.

ii. Ordinal: He came in first place in the race.

iii. Nominal: My favorite color is blue.

i. 1997 in Roman numerals is MCMXCVII.

ii. 15-03-2023 in Roman numerals is XV-III-MMXXIII.

2a.

2√128 - √243 + 5√125 + √27 - √80 - 162 + √98

First, simplify the square roots:

2√64·2 - 3√81·3 + 5√25·5 + √9·3 - √16·5 - 162 + √49·2

Next, simplify further:

2·8√2 - 3·3√3 + 5·5√5 + 3√3 - 4√5 - 162 + 7√2

Combine like terms:

15√2 - √3 + 8√5 - 162 - 4√5 + 7√2

Simplify further:

22√2 + 4√5 - √3 - 162

b.

1.3555555555.... can be written as 1.36 in 7º.

c.

Village A has a funeral every 10 days, so it will have a funeral on March 4th, March 14th, March 24th, etc.

Village B has a funeral every 15 days, so it will have a funeral on March 4th, March 19th, April 3rd, etc.

Village C has a funeral every 20 days, so it will have a funeral on March 4th, March 24th, April 13th, etc.

To determine the next time all three villages will have a funeral on the same day, find the least common multiple of 10, 15, and 20.

10 = 2 x 5

15 = 3 x 5

20 = 2 x 2 x 5

The least common multiple is 2 x 2 x 3 x 5 = 60.

So, the next time all three villages will have a funeral on the same day is 60 days after March 4th, which is May 3rd, 2023.

Comment if you have any more questions.