Solve the simultaneous equations by substitution
x-3y=-7
x=5-y

Answer:

Multiply the length times the width

Step-by-step explanation:

First one finds diameter, third one finds diameter, and fourth one finds triangle. The second one finds the area of a rectangle.

Answer:

I think it is b or length times width

3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

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Answer:

64

Step-by-step explanation:

OT bisects ∠DOG

⇒ ∠TOG = ∠DOT

5x - 3 = 4x + 4

Add 3 to both sides

5x = 4x + 4 + 3

5x = 4x + 7

Subtract 4x form both sides

5x - 4x = 7

x = 7

∠DOT = 4*7 + 4 = 28 + 4 = 32

∠DOG = 32 + 32 = 64

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

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The best interpretation of the mean in this situation is: For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

According to the question, the company claims that bowls arrive undamaged in 95 percent of the shipments. Now, the number of shipments with undamaged bowls in 25 randomly selected shipments is represented by the random variable G.

It follows the binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments.

Here, the mean is 23.75.

This means that for all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

Hence, the best interpretation of the mean in this situation is: For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

Therefore, the correct option is (e) For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

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Answer:

the solution means the answer to whatever question / statement

Answer:

Step-by-step explanation:

Marta needs to measure out 1/3 cup of blueberries three times to have enough for her fruit salad, since she needs a total of 1 cup of blueberries.

To figure out how many times Marta must measure 1/3 cup of blueberries for her fruit salad, we need to first determine how much blueberries she needs in total. Since she is making 3 servings of fruit salad and adding 1/3 cup blueberries for each serving, we can multiply 1/3 by 3 to get the total amount of blueberries needed.
1/3 x 3 = 1 cup
So Marta needs a total of 1 cup of blueberries for her fruit salad. Now we can determine how many times she needs to measure out 1/3 cup of blueberries. We can divide the total amount needed (1 cup) by the amount in each measurement (1/3 cup):
1 cup ÷ 1/3 cup = 3
So Marta needs to measure out 1/3 cup of blueberries 3 times in order to have enough for her fruit salad.
In summary, Marta needs to measure out 1/3 cup of blueberries three times to have enough for her fruit salad, since she needs a total of 1 cup of blueberries.

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Answer: 6 cups

Step-by-step explanation:

60 cookies = 4 cups

60 + 30 = 90, and half of 60 is 30. So half of 4 cups is 2 cups.

4 cups plus 2 cups is 6 cups!

Answer:

6 cups

Step-by-step explanation:

because if you / the 60 by 4 you would see that 1 cup = 15 cookies. Then add 15 till you get to 90

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

walking speed is 2 m/s

Step-by-step explanation:

given data

distance between Melissa and friend = 3 mile

total time of the trip = 2 hour

solution

we consider here

walking speed = s₁

bike speed = s₂  

so s₂ = s₁ + 4    .................1

and

time is express as

time = distance ÷ speed      .................2

so time for Melissa to friend reach = 3 ÷ s₁    

and time for return from her friend =  3 ÷ s₂  

so put this value in equation 2 we get

time = 3 ÷ s₁  + 3 ÷ s₂  

2 = \(\frac{3}{s_1} + \frac{3}{s_1 + 4}\)    

solve it and we will get

s₁² + s₁ - 6 = 0

s₁ = 2 m/s

so walking speed is 2 m/s

Answer:

X < -6

Step-by-step explanation:

Answer:

llll

Step-by-step explanation:

gfhg

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

{(-10)-(-15)÷5}

-10+15÷5

-10+3

= -7

Answer:

Step-by-step explanation:

The allowed energies are:  E = ± n2 ℏ2/(2ma2) And the allowed angular momenta are:  L = n ℏ

To solve the equation 1 a2 d2 d2 + 2 ℏ2 |E| = 0, we assume a standard trial solution = A exp(iB).

First, we take the second derivative of the trial solution:

d2/dx2 (A exp(iB)) = -A exp(iB)B2

Next, we substitute the trial solution and its derivatives into the original equation:

1/a2 (-A exp(iB)B2) + 2 ℏ2 |E| A exp(iB) = 0

Simplifying and dividing by A exp(iB), we get:

-B2/a2 + 2 ℏ2 |E| = 0

Solving for E, we get:

|E| = B2/(2 ℏ2 a2)

To find the allowed energies and angular momenta, we need to use the following equation:

E = ℏ2 n2/(2ma2)

where n is the quantum number and m is the mass of the particle.

Setting these two equations equal to each other and solving for B, we get:

B = n ℏ

Substituting this into the equation for |E|, we get:

|E| = n2 ℏ2/(2ma2)

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Answer: x = -4 and x = 2.

To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.

We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:

x^2 + 2x - 8 = (x + 4)(x - 2) = 0

Setting each factor to zero, we get:

x + 4 = 0 or x - 2 = 0

Solving for x in each equation, we get:

x = -4 or x = 2

So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

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The distance between the two cities on the map is 8.33 cm.

To find out the distance between two cities on a map with a given scale, we use the formula: distance on map = actual distance ÷ scale; Given, the actual distance between the two cities = 50 km; Given, the scale of the map = 12 1/2 cm = 75 km.

Let the distance between two cities on the map be x cm. Then, we can say that,50 ÷ 75 = x ÷ 12.5. Simplifying the above equation, we get, x = (50 × 12.5) ÷ 75= 8.33 cm. Therefore, the distance between the two cities on the map is 8.33 cm.

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Answer:

??

Step-by-step explanation:

where is the question

Answer:

x=13

Step-by-step explanation:

The attached photo might help

Original Cost - $82

First part: Apply the 60% off discount

Convert first the 60% into decimal form

60% ÷ 100% = 0.6

Multiply it to the original cost to determine the discount

$82 ˣ 0.6 = $49.2

Subtract the discount to the original price, to determine the discounted price.

$82 - $49.2 = $32.8

Second part:

The discounted price is now $32.8 for which we will apply another 10% discount.

Again, convert 10% into decimal

10% ÷ 100% = 0.1

Multiply it to the discounted price, to determine the second discount.

$32.8 ˣ 0.1 = $3.28

Subtract the discount to the already discounted price.

$32.8 - $3.28 = $29.52

Therefore, the final sale price of the watch is at $29.52.

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\(\large \bold {ANSWER}\)

\(\large \bold {SOLUTION}\)

The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.

Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.

\(\frac{80.0\not0\not0}{3.6\not0\not0}=22.22\)

\(\frac{120.0\not0\not0}{3.6\not0\not0}=33.33\)

Hence, 80 km/h = 22.22 m/s, 120 km/h = 33.33 m/s

Answer:it’s d and yes

Step-by-step explanation:

We will have the following:

So, the point (2, -1) is one of the many solutions.

Answer:

The slope is 2

Step-by-step explanation:

Take any two points on the line.  I am going to use the points (0,-8) and (4,0)  Points are in the form (x,y)  The y values form the two points is 0 and -8.  The x values are 4 and 0.

The slope is the change in y over the change in x.

\(\frac{0- -8}{4-0}\) = \(\frac{8}{4}\) = 2

the sample space of two-digit numbers using the digits 9, 4, 5, and 8 consists of 16 possible outcomes, and we can list all these outcomes in a table as shown above.

How to solve the question?

To create a sample space of two-digit numbers using the digits 9, 4, 5, and 8, we need to consider all possible combinations of these digits. We can list all possible outcomes in a table where each digit represents a column and each combination represents a row.

The first digit can be any of the four digits, and the second digit can also be any of the four digits, including the same digit as the first. Therefore, the total number of outcomes is 4 x 4 = 16.

Here is the sample space of two-digit numbers using the digits 9, 4, 5, and 8:

         9    4   5     8

9 99 94 95 98

4 49 44 45 48

5 59 54 55 58

8 89 84 85 88

As shown in the table, the first digit can be any of the four digits, and the second digit can also be any of the four digits. For example, the first row shows that the possible two-digit numbers starting with 9 are 99, 94, 95, and 98. Similarly, the second row shows that the possible two-digit numbers starting with 4 are 49, 44, 45, and 48, and so on.

In conclusion, the sample space of two-digit numbers using the digits 9, 4, 5, and 8 consists of 16 possible outcomes, and we can list all these outcomes in a table as shown above.

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The zeros of the given polynomial function are x=-4 and x=10.

The given polynomial function is f(x)=(x-3)²-49.

Now, f(x)=(x-3)²-7²

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

Here, (x-3)²-7²=0

(x-3+7)(x-3-7)=0 (∵a²-b²=(a+b)(a-b))

(x+4)(x-10)=0

x=-4 and x=10

Therefore, the zeros of the given polynomial function are x=-4 and x=10.

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Answer:

\(Mean = 6.70\)

Step-by-step explanation:

Given

See attachment for plot

Required

The mean of the plot

Mean is calculated as:

\(Mean = \frac{\sum x}{n}\)

Where

\(n = 20\)

Using the given key to read, the plot;

We have:

\(Mean = \frac{3.00+3.25+4.25+5.00+..........+8.75+9.50}{20}\)

\(Mean = \frac{134.00}{20}\)

\(Mean = 6.70\)