You pick a card at random. 2 3 4 5 What is P(3)?

Square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Net of a square pyramid consist of triangles and square.

The net of a pentagonal prism consists of two pentagons and five rectangles.

The net of a triangular prism consists of nine triangles

The net of a triangular pyramid consists of four triangles

Hence, square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

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Answer: C. [tex]2.8[/tex]

Step-by-step explanation:

Using the distance formula, [tex]\sqrt{(-1-1)^2 +(-1-1)^2} \approx 2.8[/tex].

Answer:

[tex]19\sqrt{3}[/tex]

Step-by-step explanation:

Simple math. You could extrapolate the square roots and simplify the coefficients to easily subtract numbers with the same roots.

The required rate of change of the surface area of the cube is 66 sq,feet/second.

The momentum of a variable is represented by the rate of change, which is used to mathematically express the percentage change in value over a specified period of time. R = (D2 - D1)/T is a general formula for calculating the rate of change.

[tex]\frac{V}{dt}[/tex] = 1327 cubic feet per second

volume(V) = 528528 cubic feet

We know that

V = a^3

528528 = a^3

a = 80.85

Differentiate w, r, t

[tex]\frac{V}{dt}[/tex] = 3a^2[tex]\frac{da}{dt}[/tex]

1327 = 3(80.85)^2da/dt

da/dt = 0.068

Now,

Surface area(S) = 6a^2

Differentiate w, r, t

dS/dt = 12a(da/dt)

dS/dt = 12(80.85)(0.068)

dS/dt = 66 Sq.feet/second

Thus, required rate of change of the surface area of the cube is 66.

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Joel needs 1.5 gallons of blue paint.

Joel needs a total of 10 gallons of paint to paint the outside of his house. Since the ratio is 3 parts blue paint to 2 parts yellow paint, we can use proportions to solve for the amount of blue paint needed.

We can set up the proportion like this:

3/2 = x/10

We can solve for x (the amount of blue paint) by cross-multiplying:

3*10 = 2*x

3*10 = 20x

20x = 30

x = 30/20

x = 1.5

Joel needs 1.5 gallons of blue paint.

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There is no solution when the lines that make up a system are parallel since the two lines do not share any points.

A linear equation with two variables has the for [tex]ax + by + c = 0[/tex], where variables are belongs to R. An A system of linear equations that cannot be solved is a pair of inconsistent linear equations. We can determine whether a system of linear equations has no solution by comparing the coefficients of the equations in the system.

Take into account the pair of linear equations in x and y:

[tex]a1x + b1y + c1 = 0\\a2x + b2y + c2 = 0[/tex]

There won't be a solution if [tex]\frac{a_1}{a_2}= \frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex].

An inconsistent pair of linear equations is the name given to this kind of equational system. The system of equations cannot be solved if the graph's lines are parallel.

So here, both equations are called no solution line.

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Therefore , the required probability is therefore 1/151200, which is the answer to the probability problem.

The probability that a happening will happen or that the proposition is true is determined by a field of mathematics known as probability theory. A probability is a number between 0 and 1, where 1 represents certainty and 0 roughly represents the likelihood that an event will occur. A probability is a numerical expression of a certain event's likelihood or chance of happening. The percentages 0% - 100% and 0 to 1 can also be used to express probabilities. the percentage of times in an ideal collection of equally likely alternatives that an event occurs compared to all possible outcomes.

Here,

The six numbers can only be chosen in one way if the order chosen must match my phone number.

In 10P6 methods, six random digits from a possible total of ten can be chosen.

So the necessary probability is equal to 1/P. (10,6).

Alternative: Probability = 1/151200

The required probability is therefore 1/151200, which is the answer to the probability problem.

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The best approximation of the solution to the system to the nearest integer values X minus Y equals negative 65X plus 3Y equals 24 are x = 43 and y = 22

From the information given, we have the expressions;

This is represented as;

x - y = -65

x + 3y = 24

Make 'x' the subject from equation 1

x = -65 + y

Now, substitute the expression into equation (2), we get;

-65 + y + 3y = 24

collect the like terms

4y = 24 + 65

Add the like terms

4y = 89

Divide the values by the coefficient of y

y = 89/4 = 22

Substitute the value in eqation3

x = -65 + 22

Add the values

x = 43

Hence, the values are 43 and 22

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The required, relation shown in graphs A and D is functions.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The curves shown in graphs B and C are not functional, as both graphs consist of only one variable.

While curve shown in graph A and D are function because it shows the relationship between two variables x and y.

Graph A shows, Absolute value function,
Graph D shows the quadratic function.

Thus, the Relation shown in graphs A and D is functions.

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Answer:

t + c <= 17

Step-by-step explanation:

This inequality states that the total number of tables and chairs sold (t + c) must be less than or equal to 17, in order to satisfy the constraint that the store can ship at most 17 pieces of furniture per day.

The answer is 2 metric tons in an hour.

Units refer to a specific measurement or denomination used to express the size or quantity of something. For example, length can be measured in units of inches, feet, or meters. Time can be measured in units of seconds, minutes, or hours.

The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.

Formula :

Rate = Tons removed / hours

Tons Removed = 1/2 metric ton

Time taken = 1/4 hour

Rather than doing it with fractions, it is much easier to do it with decimals

1/4 = 0.25

1/2 = 0.5

Now what you get is rate = 0.5 / 0.25 = 2

So, 2 metric tons can be removed in an hour.

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The largest possible quotient of a positive 3-digit number divided by the sum of its digits if the 3 digits must be different is 41

The largest possible quotient of a positive 3-digit number divided by the sum of its digits is obtained when the 3 digits are as large as possible, subject to the constraint that they must be different.

The largest possible 3-digit number is 987, which has digits 9, 8, and 7.

The sum of its digits is 9 + 8 + 7 = 24.

The quotient of 987 divided by 24 is:

987/24 = 41.125

otherwise when expressed as a mixed number is read as 41 whole number 3/24

In conclusion, the largest possible quotient of a positive 3-digit number divided by the sum of its digits, when the 3 digits must be different, is 41.

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Answer: sometimes

Step-by-step explanation:

The steps in the correct order to solve the equation: [tex]3\times 2^{(2t-5)} - 4 = 10[/tex] is given below and the solution to given equation is t = 3.625

Consider given equation: [tex]3\times 2^{(2t-5)} - 4 = 10[/tex]

We arrange the given steps in correct order to solve given equation.

Step 1:

Add 4 to each side of the equation.

⇒ [tex]3\times 2^{(2t - 5)} = 14[/tex]

Step 2:

Divide each side of equation by 3

⇒ [tex]2^{(2t - 5)} =\frac{14}{3}[/tex]

Step 3:

Take the log of each side of equation.

[tex]log 2^{(2t-5)} = log(\frac{14}{3})[/tex]

Step 4:

use the exponential property and write (14/3) in decimal form:

⇒ (2t - 5) log(2) = log(4.67)

Step 5:

Divide each side by log 2

⇒ 2t - 5 = log(4.67) / log(2)

Step 6:

Find the value of log(4.67) / log(2) and substitute  

⇒ 2t - 5 = 2.23

Step 7:

Add 5 to each side of the equation

⇒ 2t = 2.23 + 5

Step 8:

Simplify

t = 3.625

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The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

Everyday logic and mathematical logic are similar in that they both involve reasoning and drawing conclusions based on evidence or information. However, mathematical logic is a more formal and precise system of reasoning that is used in mathematics, computer science, and other fields. It involves using symbols and formal languages to represent statements and arguments, and it often involves the use of mathematical proofs to demonstrate the validity of a conclusion.

The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically. It can also help you understand the foundations of computer science and the way that computers process information. Additionally, it can help you become more comfortable with using formal language and reasoning, which can be useful in fields such as law, philosophy, and science.

Thus, the study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

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The inequality that describes this situation will be 6x + 2s ≤ 76

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

x = number of group dance numbers

s = number of solo performances

The inequality will be 6x + 2s ≤ 76

This inequality can be read as "the total duration of the group dance numbers (6 minutes per group dance number) plus the total duration of the solo performances (2 minutes per solo performance) is less than or equal to 76 minutes."

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The rate of change of the perimeter of the square is 11.2 cm/min when the side length is 6 cm.

Step 1: The area of a square is A = s2, where s is the side length.

Step 2: The rate of change of the area of the square is 28 cm2/min.

Step 3: The perimeter of the square is

P = 4s.

Step 4: Substitute s = 6 into the equation for P to get

P = 24 cm.

Step 5: Differentiate P with respect to time to get the rate of change of

the perimeter:

dP/dt = 4ds/dt.

Step 6: Substitute the rate of change of the area (dA/dt = 28 cm2/min) into the equation for dP/dt to get dP/dt = 4(28 cm2/min)/dt.

Step 7: Simplify the equation to get

dP/dt = 112 cm/min.

Conclusion: The rate of change of the perimeter of the square is 112 cm/min when the side length is 6 cm

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e6z = xyz,  implicit differentiation of the following equation-

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. 

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. 

We have LHS = RHS (left hand side = right hand side) in every mathematical equation. 

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.  To determine the value

To determine the value A statement is not an equation if it has no "equal to" sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

According to our question-

Given e6z = xyz

To find ∂z/∂x → consider z as a function of x and take y to be a constant

So differentiating with respect to x, we get

e6z × 6 × ∂z/∂x = z × y + xy × 1 × ∂z/∂x

[using the chain rule on the LHS and the product rule on the RHS]

Factor out the ∂z/∂x:

∂z/∂x [6e6z - xy] = yz

∂z/∂x = yz / [6e6z - xy]

Do the same thing to find ∂z/∂y except consider z to be a function of y and take x to be a constant

Differentiating with respect to y:

e6z × 6 × ∂z/∂y = z × x + xy × 1 × ∂z/∂y

∂z/∂y [6e6z - xy] = xz

∂z/∂y = xz / [6e6z - xy]

Therefore, ∂z/∂x = yz / [6e6z - xy] and ∂z/∂y = xz / [6e6z - xy]

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To calculate the amount of liquid added, the scientist multiplies 6 drops by 0.14 ml, which results in 0.84 ml. Since 0.84 ml falls between 0 ml and 5 ml, it is the exact position of the liquid in the test tube.

6 × 0.14 ml = 0.84 ml

0.84 ml falls between the 0 ml and 5 ml marks on the test tube.

1. Calculate the amount of liquid added: 6 drops × 0.14 ml = 0.84 ml

2. Determine which marks the liquid will be between: 0 ml and 5 ml

3. Determine the exact position of the liquid in the test tube: 0.84 ml falls between the 0 ml and 5 ml marks on the test tube.

The scientist adds 6 drops of liquid to a test tube that has markings every 5 ml. Each drop has 0.14 ml. To calculate the amount of liquid added, the scientist multiplies 6 drops by 0.14 ml, which results in 0.84 ml. Since 0.84 ml falls between 0 ml and 5 ml, it is the exact position of the liquid in the test tube.

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Answer: \:y=-3\frac{1}{2}x

Step-by-step explanation:

pls tell me if its wrong so i can fix it

By taking a difference, we will see that you can save $4.70 if you buy the pack.

To find the savings, we need to take the difference between the cost of the  6 times the cost of 1 bookshelf, and the cost of the 6 bookshelves.

The cost of 1 bookshelf is $14.95, and the cost of 6 together is $85.00, then the savings is given by:

S = 6*$14.95 - $85.00

S = $89.70 - $85.00

S = $4.70

You save $4.70 in total if you buy the pack.

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The corners of the square touch the circular plot at points W, X, Y, Z. The distance from point W to Y is equal to diameter of the circular plot, that is 14.

A square sand box is in a circular plot of grass so that the corners of the square sandbox  touch the edge of circular the plot. The vertices are W, X, Y, and Z. This situation can be depicted in the attached picture.

The distance from point W to Y is equal to the diameter of the circle.

WY = d = 2r

( d = diameter, r = radius)

The formula for the area of a circle is given by:

A = πr²

49π = πr²

49 = r²

r = ±√49 =  ± 7

Since radius is always a positive number, hence,

r = 7

Therefore,

WY = 2r = 2 x 7 = 14

Your question is incomplete, most likely your question was:

In a certain playground, a square sand box rests in a circular plot of grass so that the corners of the sandbox just touch the edge of the plot of grass at points W, X, Y and Z, as shown. What is the distance from point W to point Y. The area of the circular plot is 49π

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The probability of success is 0.2. The result is obtained by adding the probability of getting 9 and the probability of getting 10.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

The probability of A or B can be calculated by

P(A or B) = P(A + P(B)

A 10-sided die is rolled. Each side of the die is labeled with a number from 1 to 10. A number of 9 or 10 should be rolled to make a player succeed. Find the probability of success!

The number of each side of die are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

The probability of success is the probability of getting 9 or 10.

P(9) = 1/10

P(10) = 1/10

P(9 or 10) = P(9) + P(10)

P(9 or 10) = 1/10 + 1/10

P(9 or 10) = 2/10

P(9 or 10) = 1/5

P(9 or 10) = 0.2

Hence, the probability that a player would succeed is 0.2.

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Therefore , solving the provided quadrilateral  question we can say that - (x,y) -&gt; (x,y) is the formula for a reflection across the y-axis.

In geometry, a four-sided object having four corners is referred to as a quadrilateral. The word comes from either the Latin quad or portfolio of innovative (meaning "side"). Four corners, four states, and four corners are the three dimensions of a rectangle. Concave and convex surfaces come in essentially two varieties. Convex quadrilaterals also include the subclasses of trapezoids, parallelograms, angles, rhombuses, and squares.

Here,

The ordinate and abscissa are other names for the y-axis and x-axis, respectively.

The Y-axis is a line drawn from the bottom to the top of the graph. This axis runs parallel to the coordinates that need to be measured.

The numbers on the y-axis are referred to as y-coordinates.

When writing sorted pairs, the x-coordinate and then the y-coordinate are included in parenthesis.

(x, y).

A' ( -1, 1 ) ⇒ A"(-1, -1)

B' (-2, 2) ⇒ B"(-2, -2)

C' (-2, 3) ⇒ C"(-2, -3)

and D' (-1, 4) ⇒ D" (-1, -4)

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Answer:

544

Step-by-step explanation:

34 * 2 = 68

68 *2 = 136

136 * 2 = 272

272 * 2 = 544 (month 12 = 1 year)

Answer:

480ft.it does not matter how much east or west they are.it asks how much"they are apart"

so it should be 480.

Answer:

Let's represent the amount of shells Chen bought as x grams. Then the amount of eggs he bought is 320 - x grams.

We can use the price per gram to write two equations:

0.96x + 1.06(320 - x) = 0.9975 * 320

Expanding and simplifying the equation:

0.96x + 342.4 - 1.06x = 319.2

-0.1x = -23.2

x = 232

Answer:

Chen bought 232 grams of shells and 320 - 232 = 88 grams of eggs.

annual salary of the 6 employees of a toy company is given below:

Correct option is: Statements (1) and (2) TOGETHER are not sufficient.

The average, sometimes referred to as the arithmetic mean, is calculated by dividing the total number of variables by their sum. Mean, however, represents the data's average. The mean is the sum of the data divided by the total of observations in statistics.

If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.

x, x + 6300, x + (2 × 6300), x + (3 ×6300), x + (4 × 6300), x + (5 × 6300)

Avg = ( x + ( x + 5 × 6300 )) / 2

Avg = ( 2x + 5 × 6300 ) / 2

The range of the 6 annual salaries is $31,500

Thus, no new information, Statement 2) can be derived from Statement 1) itself.

So, Statements (1) and (2) TOGETHER are not sufficient, this is correct option.

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The complete question is as follows:

What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?

(1) If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.

(2) The range of the 6 annual salaries is $31,500.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are not sufficient.

Answer:

Step-by-step explanation:

The system of inequalities can be written as follows:

x ≥ 14

x + y ≥ 15

0.5x + 0.1y ≤ 1

We can graph the system by plotting the three lines representing the three inequalities.

The first inequality, x ≥ 14, is a vertical line with x-intercept at (14, 0).

The second inequality, x + y ≥ 15, is a line with a slope of 1, passing through the point (0, 15) and with y-intercept at (0, 15).

The third inequality, 0.5x + 0.1y ≤ 1, is a line with a slope of -5, passing through the point (2, 0.2) and with y-intercept at (0, 0.2).

The solution to the system of inequalities is the region below the line representing the first inequality, above the line representing the second inequality, and to the right of the line representing the third inequality.

One possible solution is x = 16 and y = 1. This means that Taylor has 16 nickels and 1 dime, which is exactly 15 coins worth a maximum of $1 combined.

Answer: the person is right above just made sure that .5 is .05 since it’s cents. A nickel is worth .05 cents not .5 cents.

Step-by-step explanation:

The ratio of 2 or more integers is known as fraction. The answer to the given expression is 10

Fractions are written as a ratio of two integers. Fractions are written in the form a/b

The expression in question is given as 5/8 * 16

Simplified form of the expression

On solving, we will have;

5/8 * 16

5 * 16/8

Since the ratio of 18 to 8 is 2, hence the expression will be further simplified as;

5 * 16/8 = 5 * 2

5 * 16/8 = 10

Hence the answer to the given expression is 10

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