Solve the system of inequalities.
-7x+3y ≤ 15
6x-5y<12

Answer:

The basic formula is °C + 273.15 = K. The basic formula for converting Fahrenheit into Celsius is (°F − 32) × 5/9 = °C. To convert Fahrenheit degrees into Kelvins, (°F − 32) × 5/9 + 273.15

Step-by-step explanation:

-11°F ------> -23.8889°C -----> 249.2611 kelvins

Answer:

122 degrees

Step-by-step explanation:

angles on a straight line sum up to 180 degrees. so add the two angles and equate to 180

Hello!

Answer:

3(4+3g-10h)

Step-by-step explanation:

Hope this helps!

The GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.

For example, 12, 20, and 24 have two common factors: 2 and 4.

The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

12+9g-30h

Now, to find the GCF we have to factorize the numbers

12= 2 x 2  x3

9 = 3 x 3

30= 2x 3 x 5

So, the Greatest common factor is 3.

Thus, the GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

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The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

The city's average rainfall in November was 5.7 inches.

Seattle, Washington, is famous for its rainy climate. Winter is the rainiest season there. From November through December, the city gets an average of 5.85 inches of rain each month. Seattle usually gets 6 inches of rain in December. We have to find the city's average rainfall in November.

Let the city's average rainfall in November be represented by the variable "x". An average is a single number that represents a set of numbers, generally the sum of the numbers divided by the number of numbers in the set. We can use the equation given below.

A = (R1 + R2)/2

5.85 = (x + 6)/2

x + 6 = 11.7

x = 5.7

Hence, the city's average rainfall in November is 5.7 inches.

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1. To have 50, 4-ounce portions of green beans, we need to find how many pounds of fresh green beans should be bought.

Firstly, we'll need to find out how many ounces are needed to have a total of 50 portions of 4-ounces each.

50 portions of 4 ounces each = 50 × 4 = 200 ounces.

To find the total weight in ounces of the green beans that need to be purchased, we divide 200 by 0.85 (as 85% of fresh green beans are edible) as follows:

Total weight in ounces = 200/0.85 = 235.29 ounces.

1 pound is equal to 16 ounces, so to find the total weight in pounds of fresh green beans, we divide 235.29 by 16 as follows:

Total weight in pounds = 235.29/16 = 14.7 pounds.

Therefore, approximately 15 pounds of fresh green beans should be purchased.

2. We need to find out how much whole fish we need to buy to obtain 10 pounds of fish after it has been cleaned (with 40% yield).

We can solve for this using the formula: Yield% = (edible portion ÷ raw portion) × 100.

We can rearrange the formula as: Edible portion = (yield% ÷ 100) × raw portion

We need a 40% yield, so substituting the given values in the formula above, we get:

Edible portion = (40 ÷ 100) × Raw portion

Let's say Raw portion is R. We need 10 pounds of edible portion, so:

10 pounds = (40 ÷ 100) × R10 ÷ (40 ÷ 100) = R25 = R

Therefore, 25 pounds of whole fish should be purchased.

3. We are serving 60 people with half-pound strip sirloin, so we need to find how many pounds of sirloin should be brought in, assuming that 20% of it will be wasted after trimming.

Each serving requires a half-pound, so 60 people need a total of 60 × 0.5 = 30 pounds of sirloin.

To find out the total weight of sirloin that should be brought in, we can use the formula:

Total weight of sirloin = Required weight of sirloin ÷ (1 - Waste%)

Required weight of sirloin = 30 pounds

Waste% = 20% = 0.2

Substituting these values into the formula, we get:

Total weight of sirloin = 30 ÷ (1 - 0.2)= 30 ÷ 0.8= 37.5 pounds.

So, approximately 38 pounds of sirloin should be brought in.

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The value of x is\(40^{\circ}\)

\($$180^{\circ}-\angle \mathrm{QPS}=\angle \mathrm{PQS}+\mathrm{PSQ}$$\)

[Exterior angle of a triangle is equal to sum of interior opposite angles]

\(& =35^{\circ}+\mathrm{x} \\\)

\(& \angle \mathrm{RPQ}=\angle \mathrm{PSQ}=\mathrm{x}^0\)

Angles in the alternate segment

\($$\angle \mathrm{TPS}+\angle \mathrm{SPR}+\angle \mathrm{RPQ}=180^{\circ}$$\)

[Linear pair]

\(& 35+x+65+x=180 \\\)

\(& 2 x=180-100 \\\)

\(& 2 x=80 \\\)

\(& x^0=40^{\circ}\)

The complete question is,

In the diagram, segment \($\mathrm{P} Q$\) is a tangent to the circle at \($\mathrm{P}$\)and \($\mathrm{QRS}$\) is a straight line. The value of \($\mathrm{x}$\)is

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In a case whereby letters in the word bubble are arranged in a row the number of unique arrangements that are there  in the letters is 120.

From the question we were given the word, bubble  which can be recognized as 6! arrangements  however we know that the  3 B’s are interchangeable, from the word which is to be arranged, and we can see that there are 6 letters all together in the word and can be arranged as;

6!/3!

= 720/6

= 120

Hence, we can conclude the arangement here is 120 unique wayas.

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Answer: c

Step-by-step explanation:

The required values on the graph, the solution is approximate x = -0.33.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To solve this equation, we can begin by combining like terms on the left-hand side:

3x² - 6x - 4 - 2/x + 3 + 1 = 0

3x² - 6x - 2/x = -3

Next, we can factor out the x term:

x(3x - 2) - 2(3x - 2) = -3

(x - 2)(3x - 2) = -3

Since the equation is equal to -3, we can add 3 to both sides to get:

(x - 2)(3x - 2) + 3 = 0

We can then factor the left-hand side to get:

(x - 2)(3x - 2 + 3) = 0

(x - 2)(3x - 2 + 3) = (x - 2)(3x + 1) = 0

This equation has two solutions: x = 2 and x = -1/3.

Approximating these values on the graph, we see that the solution is approximate x = -0.33.

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Answer: x= 0, y = 4

Step-by-step explanation:

5x+2y=8

X+y=4 -> y=4-x

5x + 2(4-x)=8 -> 5x + 8-2x=8 -> 3x=0 -> x=0

y=4-x=4-0=4

1. The population in 2005 was 5000

2. when t is -2, it indicates that 1250 the population before 2 years was 1250

3. For t  - -2 population was more than 1000

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal.

a. To find the population of the fish species in 2005, we need to plug in t = 0 into the equation:

p = 5,000 .2^t

p = 5,000 .2^0

p = 5,000

Therefore, the population of the fish species in 2005 was 5,000.

b. When t is -2, it means we are two years before 2005, the year when the fish population in the lake was first surveyed. In other words, we are trying to find the population of the fish species two years before 2005. To do this, we plug in t = -2 into the equation:

p = 5,000 .2^t

p = 5,000 .2^-2

p = 5,000 .25

p = 1,250

Therefore, the population of the fish species two years before 2005 was 1,250.

c. The fish population at t = -2 is more than 1,000. We know this because we calculated that the population was 1,250, which is greater than 1,000.

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Answer:

To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:

(2, 1) -> (-2, -1)

(4, 2) -> (-4, -2)

(2, 4) -> (-2, -4)

Plotting these points and connecting them, we get the triangle:

      (2, 4)

        *

       / \

      /   \

(-2, -4)---(-4, -2)

    (2, 1)

After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.

Step-by-step explanation:

Answer:

A. Scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

Step-by-step explanation:

EDGE 2020

The geometric transformation of z that describes the quotient z/w is A. Scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

It should be noted that transformation means change. Therefore, a geometric transformation means changes in a geometric shape.

From the complete information, the complex numbers z = 30 (cos(2pi/3) + sin(2pi/3)) and w = 6 (cos(pi/8) + sin(pi/8).

The geometric transformation of z on the complex plane that describes the quotient z/w will be to scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

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Answer:

number of meters per hour x 4 hours = the height after 4 hours

Step-by-step explanation:

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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We can expect that about 15 out of the 50 people we observe would be talking on their cell phones while driving.

To calculate this, we simply multiply the proportion of people who talk on their cell phones while driving (30%) by the number of people we are observing (50):

30% * 50 = 0.30 * 50 = 15

Therefore, we can expect to see approximately 15 out of the 50 people we observe talking on their cell phones while driving. It is important to note that this is only an estimate and may not be exactly accurate due to random variation.

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Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

60

Step-by-step explanation:

850-250=600

600/10=60

60

Answer:

she must save $60 each week to have enought money to purchase the iPhone 10

Step-by-step explanation:

Because 850-250=600

                 600/10=60                

The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.

The problem that occurred during the poll conducted by the magazine called Literary Digest in 1936 was the undercoverage and non-response. The magazine mailed questionnaires to 10 million people, and they mailed questionnaires to people whose mailing addresses were selected from telephone directories, country club memberships, and automobile registrations. However, only 2.3 million people returned the questionnaires to the magazine, and they predicted that Landon would win with 57% of the vote. The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.

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The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.

The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.

A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.

For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.

Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.

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using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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From the drawing above :

• Sin (B) = opp/hyp = (b /c )= 55/73

• Cos (B) = adj / hyp =(a/c ) = 48 /73

• Tan(B) = opp/adj = (b/ a) = 55/48

Answer:

It's A.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

1,000 / 100 = 10

1. The modal number of pairs of shoes owned by the children will be; 3.

2. The median number of pairs of shoes owned by the children  will be;3.

3. The Mean is 3.

1. The modal number of pairs of shoes owned by the children would be 3.

2. The median number of pairs of shoes owned by the children are;

= 14/2 th term

= 7 th term

= 3

3. The Mean would be

= (1 x 2+ 2 x 3+ 3 x 5+ 4 x 2 + 5 x 1+ 6x 1)/ (2 +3 +5 +2 + 1 +1)

= 42/14

= 3

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Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

30

Step-by-step explanation:

We must apply a formula here in order to solve this problem.

(aka as the Angles Outside Circle Therom)

X=1/2(Outer Arc- Inner Arc)

Our Inner arc is 150, to find the outer arc we do 360-150 which is 210

Now that we have both arcs, we plug them into the equation.

X=1/2(210-150)

X=1/2(60)

X=30