Please help me with this. Use long division.

x^2+5x+5
_______
x+3

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

24.94kg

Step-by-step explanation:

Converted the pounds into kilograms

Hi!

Your answer would be: 24.94kg

Hope this helps!

Yours truly,

Answer:

18

Step-by-step explanation:

We're given an expression and information about the values of the variables in it. The problem says that  x = 2, y = 4, z = 6. Thus, to evaluate the expression, substitute those values for the matching variables within the expression and solve:

\(4x+y^2-z\\= 4(2)+(4)^2-(6)\\= 8 + 16 - 6 \\= 24 - 6\\= 18\)

So, the answer is 18.

Answer:  416.7

250/12 = 20.8

20.8 x 20 = 416.7

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the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

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Answer:

30

Step-by-step explanation:

To find the least common denominator (LCD) of 2/3 and 2/10, determine the smallest common multiple of the denominators.

The prime factorization of 3 is 3, and the prime factorization of 10 is 2 * 5.

To find the LCD, we take the highest power of each prime factor that appears in either denominator:

Therefore, the LCD is  2 * 3 * 5 = 30.

Answer:

a) the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Step-by-step explanation:

following how the independence multiplication rule works,

i.e finding p(A)' which is 1 - p(No problem) because what we need is an intersection not a union so;

a) 10 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^10

= 1 - (0.95)^10

= 1 - 0.5987

= 0.4013

the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) 40 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^40

= 1 - (0.95)^40

= 1 - 0.1285

= 0.8715

the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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14  is the perimeter of the rectangle .

What does a rectangular 's perimeter mean?

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given,  A(x) = x(14-x)

Comparing with A = lw , we have

Length , l = x and

Width , w = 14 - x

Step: 2

We know,

Perimeter of rectangle ,

p = 2( l + w )

p = 2 ( x + 14 - x )

p = 28

Hence,

Perimeter of rectangle = 14

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The distance formula as given in the image can be calculated based on the Pythagorean theorem.

The Pythagorean theorem states that the sum of the opposite square and the adjacent square equals the hypotenuse square.

In the diagram given

Applying the Pythagorean theorem,

Therefore,

The distance formula can be calculated based on the Pythagorean theorem.

The pairs of coordinates arranged from least to greatest based on the differences between the points are:

(-1,-2) and (1,-4)

(4,1) and (2,2)

(-5,2) and (-3,-2)

(3,-4) and (-2,1)

(5,-2) and (-1,-1)

Let's calculate the differences and arrange the pairs accordingly:

(4,1) and (2,2):

Difference in x-coordinates: 4 - 2 = 2

Difference in y-coordinates: 1 - 2 = -1

(-5,2) and (-3,-2):

Difference in x-coordinates: -5 - (-3) = -2

Difference in y-coordinates: 2 - (-2) = 4

(3,-4) and (-2,1):

Difference in x-coordinates: 3 - (-2) = 5

Difference in y-coordinates: -4 - 1 = -5

(-1,-2) and (1,-4):

Difference in x-coordinates: -1 - 1 = -2

Difference in y-coordinates: -2 - (-4) = 2

(5,-2) and (-1,-1):

Difference in x-coordinates: 5 - (-1) = 6

Difference in y-coordinates: -2 - (-1) = -1

Now let's arrange them in order from least to greatest based on the differences in the points:

(3,-4) and (-2,1) (difference: 5)

(-1,-2) and (1,-4) (difference: 2)

(4,1) and (2,2) (difference: 2)

(-5,2) and (-3,-2) (difference: 4)

(5,-2) and (-1,-1) (difference: 6)

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Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

Answer:30

Step-by-step explanation:47-17 = 30

The slope-intercept equation of a line has the form

where m is the slope of the line and b is its y-intercept.

Now, there is a very interesting relationship between the slopes (m_1 and m_2) of perpendicular lines:

Looking at the given equation, we can say that its slope is 1/2. Then,

Then, our desired equation becomes

Now, we know that our line passes through (-2,5). This means that

Solving this equation for b, we get

The desired line has equation

The fraction of their money remains for other expenses each month is 5/12.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

Williams spend 1/3 of their total monthly income for rent and 1/4 for food.

The fraction of their money remains for other expenses each month,

= 1 - 1/3 - 1/4

= 5/12

Therefore, 5/12 is the remaining money.

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Answer:

sorry i wish i can help but i am in middle school sorry

Step-by-step explanation:

Answer:

\(Probability = \frac{1}{9}\)

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

\(Probability = P(Onion)\ and\ P(Steak)\) --- because the events are independent

\(P(Onion) = \frac{n(Onion)}{Total}\)

\(P(Onion) = \frac{1}{3}\)

\(P(Steak) = \frac{n(Steak)}{Total}\)

\(P(Steak) = \frac{1}{3}\)

So, we have:

\(Probability = P(Onion)\ and\ P(Steak)\)

\(Probability = P(Onion)\ *\ P(Steak)\)

\(Probability = \frac{1}{3} * \frac{1}{3}\)

\(Probability = \frac{1}{9}\)

We will see that the probabilities are:

First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers

There are:

9 red markers.

5 blue markers.

14 yellow markers

8 green markers.

For a total of: 9 + 5 + 14 + 8 = 36.

a) P(yellow, then red)

First, the probability of getting a yellow marker is:

p = 14/36.

Then the probability of getting a red marker (notice that now there are 35 markers in total) is:

q = 9/35.

Then the joint probability is:

P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1

b) P(blue, then green)

First, the probability of getting a blue marker is:

p = 5/36.

After, the probability of getting a green marker is:

q = 8/35.

So the joint probability is:

P(blue, then green) = (5/36)*(8/35) = 0.03

c) P(both red).

First, the probability of getting a red marker is:

p = 9/36

Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:

q = 8/35

The joint probability is:

P(both red) = (9/36)*(8/35) = 0.06

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Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step