How many and of which kind of roots does the equation f(x) = x³ + 2x² + 4x + 8 have?

Answer:

17285 female doctors

Step-by-step explanation:

We need 31.2% of 55,400 doctors to do this we multiply 31.2% by 55,400

0.312 is 31.2% as a decimal

so we do...

0.312 * 55,400 = number of female doctors

if type that into a calculator you get 17284.8

17.284 rounds to 17285

so the answer is...

17285 female doctors

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

Step-by-step explanation:

Let the number of students be x

Initial share was:

With the less students the share is:

Solve for x:

52 students

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥\(\frac{18}{(2-3)}\)

I hope this helped but i've done this in the way my tutor taught me :)

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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Answer:

x = 5cm

Step-by-step explanation:

We Know

The x-scale is 1:5

Find x.

We Take

25 ÷ 5 = 5 cm

So, x = 5cm

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

Answer:

d

Step-by-step explanation:

y+5=-2/7(x-4)

Answer:

V=3053.6

Step-by-step explanation:

Answer:

C. 15

Step-by-step explanation:

By using some exponent properties, we can simplify the expression to get:

√(100)² = 100

Here we will be using two exponent properties, these are:

√a = a^(1/2)

And:

(a^n)^m = a^{n*m}

The given expression here is:

√(100)²

Using the first property, we can rewrite this as:

( 100¹/²)²

And using the second property, we can rewrite as:

( 100¹/²)² = 100²*⁽¹/²⁾ = 100¹ = 100

That is the simplified expression.

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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The sequence of transformations that maps triangle ABC to A”B”C” is 1. Rotation along the x-axis and then dilation by a scale factor of 9/2.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the centre of dilation are used to determine the dilation transformation.

The image stretches if the scaling factor is greater than 1.

The image contracts if the scale factor is between 0 and 1.

The original image and the resulting image are consistent if the scale factor is 1.

The coordinates of the point ABC are as follows:

A (-1, 1)

B (1, 1)

C (0, -1)

First the figure is rotated on the x-axis by using the transformation rule:

(x, y) → (x, -y) the coordinates are:

A (-1, 1) → A (-1, -1)

B (1, 1) → B (1, -1)

C (0, -1) → C (0, 1)

After rotation the figure is dilated by a scale factor.

The scale factor is given as:

SF = Length of segment of new image / length of segment of original image.

SF = 9/2

Hence, the sequence of transformations that maps triangle ABC to A”B”C” is 1. Rotation along the x-axis and then dilation by a scale factor of 9/2.

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Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

Work Shown:

A = pi*r^2 ... area of circle formula

A = pi*8^2 ... plugging in r = 8 as the radius

A = pi*64

A = 64pi ..... exact area in terms of pi

A = 64*3.14 ..... replacing pi with 3.14

A = 200.96 ..... approximate area

The cuboid has the following dimensions (A = 11 in, B = 4 in, C = 8 in, D = 4 in) and the following surface areas: Lateral: S = 264 in², Total: S' = 328 in².

In this problem we find a cuboid, whose lateral and total surface area must be found. The lateral surface area is the sum is the sum of the areas of all faces except bases and the total surface area is the sum of the areas of the six faces. The area formula needed for the surface area is the rectangle:

S = w · h

Where:

Sides

A = 11 in, B = 4 in, C = 8 in, D = 4 in

Lateral surface area

S = 2 · (11 in) · (4 in) + 2 · (11 in) · (8 in)

S = 88 in² + 176 in²

S = 264 in²

Total surface area

S' = 2 · (4 in) · (8 in) + 264 in²

S' = 328 in²

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Answer:5/40

Step-by-step explanation:

beacuse u read it and answer it ,I really dont know but thats the answer

Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

48

Step-by-step explanation:

It will take \(24/2=12\) periods of 4 days to plant 24 days. This is equal to \(12(4)=48\) days.

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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Answer: The time it takes for a sum of money to amount to a certain amount at a certain interest rate can be calculated using the following formula:

Time = (100 x (Amount - Principal)) / (Principal x Rate)

In this case, the principal is Rs. 2000, the amount is Rs. 2240, and the rate is 4%. Therefore, the time is:

Time = (100 x (2240 - 2000)) / (2000 x 4) = 3 years

Therefore, it will take 3 years for Rs. 2000 to amount to Rs. 2240 at 4% simple interest.

Step-by-step explanation:

The number of people that nare expected to vote in the election is 260,000. people.

Simply put, a fraction is a portion of a whole. Mathematically, the number is represented as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers. On the other hand, a complex fraction has a fraction in either the numerator or the denominator.

In this situation, the pre-election survey showed that two out of every three eligible voters would cast ballots in the county election and there are 390,000 eligible voters in the county.

The number of people expected to vote will be:

= Fraction of expected voters × Total number of people

= 2/3 × 390000

= 2 × 130000

= 260000

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