How much paint will you need to paint all sides of the box shown below? 4m 13m 4m 4m 11m​

Answer:

2. QR - TS and QT ║ RS

Step-by-step explanation:

Parallelogram is a rectangle with two pairs of parallel lines. The quadrilateral will be parallelogram if the two sides  pairs are parallel to each other. If QR and TS are parallel and QT and RS are parallel then the quadrilateral will be parallelogram.

The QR - TS and QT || RS ie. option (2) is correct in quadrilateral QRST.

It is given that the quadrilateral QRST, diagonals QS, and RT intersect at M.

It is required to find which statement would always prove quadrilateral QRST is a parallelogram.

It is defined as the four-sided polygon in geometry having four edges and four corners. It is a two-dimensional geometry.

We know the parallelogram is nothing but it is a rectangle geometry with two pairs of parallel sides, if, in the quadrilateral QRST, diagonals QS and RT intersect at M.

In the parallelogram, diagonals bisect each other which means that point M is a midpoint of the QS and RT.

Mathematically:

QM = SM and RM = TM

Also QT || RS.

Thus, the QR - TS and QT || RS ie. option (2) is correct in quadrilateral QRST.

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Answer:

t = 610

Step-by-step explanation:

668 - 58 = 610

610 + 58 = 668

Answer:

t=610

Step-by-step explanation:

you need to get the exponent by itself, to do this:

t+58=668 becomes t=610 by subtracting 58 from both sides to balance it out (what you do to one side you have to do to the other)

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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The value of x is 7 and the measure of angle PSQ 216⁰.

The measure of angle PSQ can be determined by applying the following principle of a cyclic quadrilateral as shown below.

First, we will set up an equation to find the value of x;

2(∠PRQ) + ∠PSQ = 360 ( sum of angles in a circle )

2 (11x - 5 ) + 30x + 6 = 360

22x - 10 + 30x + 6 = 360

52x - 4 = 360

52x = 364

x = 364/52

x = 7

The measure of angle PSQ = 30x + 6

= 30(7) + 6

= 216⁰

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Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

\(A=\dfrac{1}{2}\times Base\times Height\)

Area of triangle P whose base is 4 and height is 6, is

\(A=\dfrac{1}{2}\times 4\times 6\)

\(A=\dfrac{24}{2}\)

\(A=12\)

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer:

Step-by-step explanation:

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

Area of triangle P whose base is 4 and height is 6, is

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer:

a) 1cm

b) 2cm and 3 cm

c) the next set of blocks that would be added would be 4 and 10 cm

d) well each block is a centimeter each time you add a block it adds a centimeter.

e) well since we have ten we would put another 4 cm of bocks to make 14 squares

Step-by-step explanation:

Answer:

\(P(Invisibility | Female) = \frac{2}{3}\)

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine \(P(Invisibility | Female)\)

This is calculated using the following formula for conditional probability:

\(P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}\)

From the attached table

\(n(Invisibility \& Female) = 32\)

\(n(Female) = 48\)

So, the equation becomes:

\(P(Invisibility | Female) = \frac{32}{48}\)

Simplify

\(P(Invisibility | Female) = \frac{32/16}{48/16}\)

\(P(Invisibility | Female) = \frac{2}{3}\)

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

a) $3250

b) 31%

Step-by-step explanation:

a) 910 + 2340 = $3250

b) 18 + 13% = 31%

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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The procedure described does result in a binomial distribution. The correct answer is B. Yes, the result is a binomial probability distribution.

To have a binomial distribution, four conditions must be satisfied:

1. There are a fixed number of trials.

2. Each trial has two possible outcomes: success or failure.

3. The trials are independent of each other.

4. The probability of success remains the same for each trial.

In this scenario, there is a fixed number of trials (400 voters) and each trial has two possible outcomes (Yes or No). Although the probability of success (being a member of political party A) may vary among voters, it is still a binomial distribution because the question asks if the procedure described results in a binomial distribution, not whether the probability of success is the same for all trials. Therefore, the procedure satisfies the conditions for a binomial distribution, and the correct answer is B.

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Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied.

Four hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 3500 registered voters. Each is asked if he or she is a member of political party A, recording Yes or No. Choose the correct answer below.

A. No, there are more than two possible outcomes.

B. Yes, the result is a binomial probability distribution.

C. No, the trials are not independent and the sample is more than 5% of the population.

D. No, the number of trials is not fixed.

E. No, the probability of success is not the same in all trials.

Answer:

ok so

Step-by-step explanation:

add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3  degrees celsius

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Step-by-step explanation:

1kg of grapes = $1.50

=> 3.5kg of grapes = $1.50 * 3.5 = $5.25

1kg of carrots = $1.00

=> 2.25kg of carrots = $1.00 * 2.25 = $2.25

Total cost = $5.25 + $2.25 = $7.50.

Since, Both the numbers used for the difference calculation are whole numbers, The answer is B) The difference is a whole number.

Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1) and fractions (1/2, 2.5).

Whole numbers are natural numbers including zero with it.

56 is a whole number

34 is a whole number

the difference, 56-34 = 22 is also a whole number.

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Answer:

We just have to solve each power.

\(8^{2} = 8 \times 8 = 64\\10^{-2} =\frac{1}{10^{2} } =\frac{1}{100}=0.01 \\(-4)^{4}=(-4) \times (-4) \times (-4) \times (-4)=256 \\(-6)^{4}=(-6) \times (-6) \times (-6) \times (-6)=1,296\)

Remember, to solve a power, we just need to multiply its base as many times indicates its exponent.

It's important to know that the negative exponent indicates a position, that's why in the second exercise we needed to change the position of the power to continue.

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

Directly proportional to x.

Acc to our question-

Hence,Directly proportional to x.

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Answer:

The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.

Hope this helps!

Answer:

i am unsure how your options are like since there is no free response but heres my proof:

since ba and cd are parallel to ad, they must be parallel to each other.

now all we need to prove is that ad is parallel to bc

since bac and cdf are congruent, ab = dc meaning bc  is parallel to ad

therefore with a right angle and 2 pairs of parallel sides, abcd is a rectangle

hope it helps

The probability that Catherine chooses either option A or option B is 1 (or 100%).

Let's denote the events as follows:

A: Catherine joins Boston School and teaches English in South Africa.

B: Catherine enrolls in a full-time Law School program in Madagascar.

C: Catherine does not choose either of these options.

We are given the following probabilities:

P(A) = 0.25 (25% chance of joining Boston School)

P(B) = 0.35 (35% chance of enrolling in Law School)

P(C) = 0.00 (0% chance of not choosing either option)

To determine the probability that Catherine does not choose either of these options, we can use the fact that the sum of probabilities for all possible outcomes must equal 1:

P(A) + P(B) + P(C) = 1

Since P(C) = 0.00, we can rewrite the equation as:

P(A) + P(B) + 0 = 1

From this equation, we can solve for P(A) + P(B):

P(A) + P(B) = 1 - P(C) = 1 - 0 = 1

Therefore, the probability that Catherine chooses either option A or option B is 1 (or 100%).

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Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

The rate of change means that the designer hourly charge is $55 per hour

Linear equation

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of hiring the designer after x hours.

From the table, using the point (0, 125) and (15, 950):

The rate of change means that the designer hourly charge is $55 per hour

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Answer:

18

Step-by-step explanation:

each possibility needs to exclude one tree so:

mmoobbbb is when you exclude a maple

mmmobbbb is when you exclude an oak

mmmoobbb is when you exclude a birtch

then you can mix them up to get 6 ways per exclusion

6x3=18

so 18 is your answer!

9514 1404 393

Answer:

     207.24 in²

Step-by-step explanation:

The "r" in the formula stands for the radius of the cylinder. That is half the diameter, so is 3 in. The "h" in the formula stands for the cylinder height, shown as 8 in. Put these values in the formula and do the arithmetic.

  SA = 2πr(r +h) = 2(3.14)(3 in)(3 in + 8 in) = 6.28(33 in²)

  SA = 207.24 in²

Answer:

x= 52

y= 25

z= 90

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The given information describes a linear relationship between miles and time, with a rate of change of 1000 miles per hour and 1 hour per 1000 miles.

the rate of change between the number of miles and time is as follows: for every additional hour, the number of miles increases by a thousand, and for every additional thousand miles, the time increases by an hour.

This indicates a linear relationship between miles and time, with a constant rate of change. For every additional hour, the number of miles traveled increases by a thousand, implying a slope of 1000/1 in the miles-time graph. Similarly, for every additional thousand miles, the time taken increases by an hour, resulting in a slope of 1/1000 in the time-miles graph.

The given information allows us to determine the rates of change or slopes in both directions, indicating a linear relationship between miles and time. However, without specific values or equations, we cannot calculate the exact measure of angle y or provide further analysis.

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