A car is traveling at a speed of 81 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 20 seconds? Do not round your answers.

Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

Answer:

2/6 + ⅓ + ½

= (2+2+3)/6

= 7 / 6

= 1⅙

Step-by-step explanation:

brainliest plz

Answer:

1  1/6

Step-by-step explanation:

Find the common denominator for 6, 3, 2

6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.

Convert all the fractions into sixths.

The first fraction is already done.

1/3.....  the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.

1/3 x 2/2 = 2/6

1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.

1/2 x 3/3 = 3/6

Now you have

2/6 + 2/6 + 3/6 = 7/6

Simplify the answer

6/6 = 1  so remove 6/6 from 7/6 and you are left with just 1/6

So your answer will be 1 and 1/6  or  1  1/6

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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The expressions that could be equivalent to x^2+bx-36 where b is negative is option 1: (x + 3)(x - 12) and option 5: (x - 9)(x + 4).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - x² + bx - 36

The first expression is - (x + 3)(x - 12)

Solve using the multiplication property -

= (x + 3)(x – 12)

= x(x - 12) + 3(x - 12)

= x² - 12x + 3x - 36

= x² - 9x - 36

The second expression is - (x - 2)(x + 18)

Solve using the multiplication property -

= (x - 2)(x + 18)

= x(x + 18) - 2(x + 18)

= x² + 18x - 2x - 36

= x² + 16x - 36

The third expression is - (x - 13)(x - 3)

Solve using the multiplication property -

= (x - 13)(x - 3)

= x(x - 3) - 13(x - 3)

= x² - 3x - 13x + 39

= x² - 16x + 39

The fourth expression is - (x + 4)(x + 9)

Solve using the multiplication property -

= (x + 4)(x + 9)

= x(x + 9) + 4(x + 9)

= x² + 9x + 4x + 36

= x² + 13x + 36

The fifth expression is - (x - 9)(x + 4)

Solve using the multiplication property -

= (x - 9)(x + 4)

= x(x + 4) - 9(x + 4)

= x² + 4x - 9x - 36

= x² - 5x - 36

Therefore, the choices for b being negative is x² - 5x - 36, and x² - 9x - 36.

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Select all expressions that could be equivalent to x^2+bx-36 where b is negative.

(x + 3)(x - 12)

(x - 2)(x + 18)

(x - 13)(x - 3)

(x + 4)(x + 9)

(x - 9)(x + 4)

The probability that the coach selects an ideal lineup is approximately 0.4429 or 44.29%.

Step-by-step explanation:

(a) If the coach wanted to choose her 5 starters at random by drawing names from a hat, the number of possible groups of 5 starters she could choose is:

C(12,5) = 792

where C(n,r) denotes the number of combinations of n items taken r at a time.

(b) To choose 2 guards and 3 forwards/centers, the coach can first choose 2 guards out of 5, which can be done in C(5,2) = 10 ways. Then, she can choose 3 forwards/centers out of 7, which can be done in C(7,3) = 35 ways. Therefore, the total number of different lineups possible is:

10 * 35 = 350

(c) If the coach chooses her 5 starters at random by drawing names from a single hat, the total number of possible groups of 5 starters she could choose is still C(12,5) = 792 as in part (a).

The number of ideal lineups with 2 guards and 3 forwards/centers is the number of ways to choose 2 guards out of 5 and 3 forwards/centers out of 7, which is the same as in part (b):

C(5,2) * C(7,3) = 10 * 35 = 350

Therefore, the probability of selecting an ideal lineup is:

P(ideal lineup) = number of ideal lineups / total number of possible lineups

= 350/792

= 0.4429 (rounded to four decimal places)

Therefore, the probability that the coach selects an ideal lineup is approximately 0.4429 or 44.29%.

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Answer:

m ≥ 4.50

Step-by-step explanation:

Cost of the shirt = $15.50

you can use a $5 discount coupon if you spend at least $20

The question requires you to find how much more you need to spend to be able to use the $5 discount coupon

The shirt already cost $15.50

Total amount you need to spend = $20

Let the amount remaining = m

m ≥ $20 - 15.50

m ≥ $4.50

m greater than or equal to 4.50

m ≥ 4.50

This means you need to spend $4.50 in order to be able to use the $5 discount coupon

The quotient of 3b/4 divided by -c/6 is -9b/2c

Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.

They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;

From the information given, we have that;

3b/4 divided by -c/6

This is represented as;

3b/4 ÷ -c/6

Take the inverse of the divisor and multiply

3b/4 × 6/-c

18b/-4c

Divide the values

-9b/2c

Hence, the value is -9b/2c

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The correct option (a) 2000, is the miles are driven on each tire.

For the stated question-

Miles are driven on each tire = Total distance/number of tires.

Miles are driven on each tire = 10000/5

Miles are driven on each tire = 2000

Thus, the number of miles are driven on each tire is 2000 miles.

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A type II error in this context would be when the inspector incorrectly fails to reject the null hypothesis (H0), meaning they accept the null hypothesis that the humidity level absorbed is 3% when it is actually more than 3%.

A hypothesis test is a statistical procedure used to evaluate a hypothesis by using sample data. Brainly experts can use hypothesis tests to verify the accuracy of their answers by collecting sample data, analyzing it and making a conclusion. Hypothesis testing involves formulating a null and alternate hypothesis, generating a test statistic, and using the test statistic to make a decision. Brainly experts can use hypothesis testing to check the validity of their answers and to ensure that they are providing accurate information to their users.

This type of error would result in potentially hazardous components being approved for use and could lead to catastrophic accidents. In other words, if the inspector fails to reject H0 when it is false, it could lead to unsafe components being used and put the health and safety of people in danger.

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Answer:

x=1 +or- √(1)-(-8)/-2

Step-by-step explanation:

-2=-x+x^2-4

-2+4= x^2-x

2=x^2-x

x^2-x-2=0

Quadratic formula

x=-b +or -√b^2-4ac/2a

from the equation

a=1

b=-1

c=-2

Insert the variables into the quadratic formula

We have

x=-(-1) +or- √(-1)^2 - 4*(1)*(-2)/-2*(1)

x=1 +or- √(1)-(-8)/-2

=1 +or- √1+8/2

=1 +or-√9/2

=1 +or- 3/2

=1+3/2 or 1-3/2

=4/2 or -2/2

x=2 or -1

The improper integral is convergent. To determine the convergence or divergence of the improper integral, we need to evaluate it.

The integral is given as:

∫[-x², 3x] e dx

We can rewrite the integral limits in terms of a variable, say t, to make it easier to evaluate. Let's substitute x = t/3 in the integral:

∫[0, 9] e dt/3

Now we can simplify the integral:

(1/3) ∫[0, 9] e dt

The integral of e^t is simply e^t. Evaluating the integral:

(1/3) [e^t] from 0 to 9

Substituting the limits:

(1/3) [e^9 - e^0]

Since e^0 is equal to 1, we have:

(1/3) [e^9 - 1]

Now, we can determine whether the improper integral is convergent or divergent by evaluating the expression:

(1/3) [e^9 - 1]

The value of e^9 is approximately 8103.08. Substituting this value into the expression:

(1/3) [8103.08 - 1] ≈ 2700.36

Since the resulting value is finite, the improper integral is convergent. Therefore, the answer is:

Convergent

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Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

Answer:

18

Step-by-step explanation:

Answer:

  (x, y, z) = (1, 1, 0)

Step-by-step explanation:

You want to solve the given system of equations by elimination.

There are a couple of nice choices for variables to eliminate.

The last equation has an x-coefficient that is the opposite of the x-coefficient in the other two equations. Adding that equation to those will eliminate the x-variable:

  (-2x +2y +3z) +(2x +3y +3z) = (0) +(5)   ⇒   5y +6z = 5 . . . . add eqns 1, 3

  (-2x -y +z) +(2x +3y +3z) = (-3) +(5)   ⇒   2y +4z = 2 . . . . add eqns 2, 3

The second of these equations can be divided by 2 to give ...

  y +2z = 1

Three times this equation can be subtracted from the first of the reduced equations to eliminate z:

  (5y +6z) -3(y +2z) = (5) -3(1)   ⇒   2y = 2

  y = 1 . . . . divide by 2

Now, we can substitute this value into the previous equation to find the other variables.

  y +2z = 1 = 1 +2z   ⇒   0 = 2z   ⇒   z = 0

  -2x -y +z = -3 = -2x -(1) +(0)   ⇒   -2 = -2x   ⇒   x = 1

The solution is (x, y, z) = (1, 1, 0).

__

Additional comment

The attachment shows a calculator solution to the system of equations by reducing the augmented matrix to "reduced row-echelon form." In general, that is a process of elimination. Each equation ends up with one variable having a coefficient of 1, so we have x = 1, y = 1, z = 0.

You could also start by eliminating the y-variables. Adding twice the second equation to the first will do that, as will adding 3 times the second equation to the third. The result of these operations is two equations in x and z.

Answer:

they are the same shape and same angles. There was just a dilation.

Step-by-step explanation:

Answer:

0.35, 0.40

Step-by-step explanation:

the submarine is approximately 2.236 kilometers from its starting point.

Distance is a numerical measurement of the space between two points. It is the length of the path traveled by an object moving from one point to another, regardless of the direction it takes. Distance is typically measured in units such as meters, kilometers, feet, miles, or any other unit of length.

The submarine is essentially moving in a square pattern, with sides of length 1 km. Each time it moves north or west, it changes its distance from the starting point by 1 km.

Since the submarine moves 1 km north and 1 km west in each "leg" of its journey, it will complete 20 legs before traveling a total of 40 km. At this point, it will be 1 km north and 1 km west of its starting point.

The 21st and final leg of the journey brings the submarine 1 km north, so it ends up 2 km north and 1 km west of its starting point. Using the Pythagorean theorem, we can find the distance between the starting point and the final position of the submarine:

d = √((2 km)² + (1 km)²)

=√(5) km

≈ 2.236 km

Therefore, the submarine is approximately 2.236 kilometers from its starting point.

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Answer:

c

Step-by-step explanation:

the nth term of a geometric sequence is r times the previous term , then

a₆₉₉ × r = a₇₀₀ , that is

a₆₉₉ × 0.25 = 20 ( divide both sides by 0.25 )

a₆₉₉ = \(\frac{20}{0.25}\) = 80

The events A, B, and C with probabilities 0.4, 0.5, and 0.6, respectively, cannot be independent as their joint probability does not equal the product of their individual probabilities.

The events A, B, and C cannot be independent because the probability of event C (0.6) is greater than the probabilities of events A (0.4) and B (0.5). For events to be independent, the probability of their joint occurrence should equal the product of their individual probabilities. In this case, if events A, B, and C were independent, we would expect the probability of the joint occurrence (A and B and C) to be 0.4 * 0.5 * 0.6 = 0.12. However, the given probability for event C is 0.6, which is greater than the expected joint probability of 0.12. Therefore, events A, B, and C cannot be independent.

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A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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The rate at which the surface area of the balloon is increasing when the volume is 32π.3 ft^3 is dr/dt = (1/4π)(dV/dt)/r^2.

We can relate the volume and surface area of a balloon using the formula for the volume of a sphere, which is V = (4/3)πr^3, and the formula for the surface area of a sphere, which is A = 4πr^2, where V is the volume and r is the radius of the balloon.

Given that the volume is 32π.3 ft^3, we can substitute this value into the volume formula to find the radius of the balloon. Since V = (4/3)πr^3, we have 32π.3 = (4/3)πr^3. Simplifying, we find r^3 = (3/4)(32π.3)/π, which gives r = 2.

To find the rate at which the surface area is increasing, we can differentiate the surface area formula with respect to time, using the chain rule. Let A be the surface area and t be the time. We are given that the volume is increasing at a rate of 4 ft^3/min. Using the related rates formula, dV/dt = 4 ft^3/min, we can solve for dr/dt, which gives dr/dt = (1/4π)(dV/dt)/r^2.

Substituting the given volume V = 32π.3 ft^3 and the radius r = 2 into the expression for dr/dt, we can calculate the rate at which the surface area is increasing. By plugging in these values, we can find the rate at which the surface area is increasing when the volume is 32π.3 ft^3.

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Answer:

p= -14

Step-by-step explanation:

3/7 p + 12 = 6

sove using inverse operations

3/7 p +12 = 6

-12           -12

3/7 p = -6

*7          *7

3p = -42

/3      /3

p = -14

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Answer:

????? I am only in first grade

Step-by-step explanation:

???????

Answer:

x=5

Step-by-step explanation:

First combine the like terms:

11x+x = 12x

then you'll get 12x=60

divide by 12 to get x by itself

whatever you do on one side you have to do on the other so :

12x/12=60/12

x=5

your answer is 5

Answer:

11x + x =12x thus

12x/12 =60/12

x=5

value of x is 5

Answer:

AB=5.39 cm

BC=5 cm

CD=5.83 cm

DE=3.91 cm

A to E=20.13 cm

Step-by-step explanation:

DE^2=2.5^2+3^2

DE^2=6.25+9

DE^2=15.25

DE=3.91

CD^2=3^2+5^2

CD^2=9+25

CD^2=34

CD= 5.83

BC^2=4^2+3^2

BC^2=16+9

BC^2=25

BC=5

AB^2=5^2+2^2

AB^2=25+4

AB^2=29

AB=5.39

5.39+5+5.83+3.91=20.13

Answer:

I can’t really see

Step-by-step explanation:

The volume of the given prism is 72 cubic centimeters

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

From the given figure, one cube represents 1 cubic cm

From the given figure

length =6cm

width = 3cm

Height = 4cm

Determine the volume

Volume = length * width * height

Substitute the given parameters into the formula

Volume = 6cm * 3cm * 4cm

Volume = 18 * 4

Volume = 72 cubic centimeters

Hence the volume of the given prism as shown in the diagram is 72 cubic centimeters

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The solution of the equation y = 12x – 8 and y = 8x will be (2, 16). Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one.

The system of the equations are given below.

y = 12x – 8 …1

y = 8x       …2

Put equation 2 in equation 1, then we have

8x = 12x – 8

 8 = 12x – 8

4x = 8

 x = 2

Then put the value of x in equation 2, we have

y = 8 × 2

y = 16

Then the solution of the equation will be (2, 16).

Then the correct option is A.

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Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation: