3.2 Sipho builds ladders with matches as shown below. How many matches will he need to build a ladder with 6 steps (or rungs)? Show all working out. HE Pic 1 Pic 2 I Pic 3​

Answer:

-x^3-7x^2-46x-16/x+4

Step-by-step explanation:

The slash is a fraction! Also the fraction is negative :)

Hey there!

Each person would mostly get approximately $10.35 because you simply DIVIDE 31.05 from 3 & 10.35 * 3 gives you $31.05

Here’s an equation you can set it up as

• 3p = number of people

• 31.05 could be the one the one we’re dividing with p

• So your equation will most likely look like:

3p = 31.05

“3p = 31.05”

• DIVIDE both of your sides by 3

3p/3 = 31.05/3

• Cancel out

3p/3 because that gives you 1

• Keep

31.05/ 3 because that helps us solve what we give to the number of people

p = 31.05 / 3

➡️ 31.05 / 3 = 10.35

Thus, each person will get: 10.35

So that further a do: your answer is “10.35”☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

1) 5x + 4x²(2x + 7) - 6x² - 9x

= 5x + 8x³ + 28x² - 6x² - 9x

= 8x³ + 22x² - 4x

2) the answer is 2x³ + 17x² + 25x - 50

3) the answer is y = 4x² + 14x + 18

Answer:

y = -5

Step-by-step explanation:

slope of 0 means m = 0 in y intercept form y = mx + b.

they have given you (3, -5), plug these in and solve for your equation.

remember, a line that has a 0 slope means it is a horizontal line.

y = mx + b

-5 = 0(3) + b

-5 = b

so you have, y = -5.

Answer:

B. 9

Step-by-step explanation:

solve it and u will find out

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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The recursion that models the dynamics of drug concentration is: ct+1 = (1 - k) * ct + a.

This equation describes how the drug concentration in the bloodstream changes over time. At each time step, the concentration of the drug in the bloodstream is updated by adding the concentration of the drug that is administered (a) and subtracting the fraction of the drug that is metabolized (k * ct). This updated concentration is then used as the starting concentration for the next time step.

The value of k is typically a constant that is specific to the drug being administered and the metabolic rate of the patient. The value of a can vary depending on the dosage and frequency of drug administration. The recursion can be used to model the concentration of the drug over time, which is important for determining the effectiveness and potential side effects of the drug.

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Given the function h(x) = x² - 7x - 8. The extremum of the function is the minimum one and its value is h(x) = -32.5

The relation between symmetry of the graph and the extremum point is:

Suppose x = p is the line equation of the graph's symmetry, then f(p) is the extremum value.

The given function is:

h(x) = x² - 7x - 8

Find the x-intercepts:

h(x) = 0

x² - 7x - 8 = 0

(x + 1) (x - 8) = 0

x = -1 or x = 8

The symmetry lies in the middle of x-intercepts. Hence, the symmetry occurs at:

x = (-1 + 8) / 2

x = 3.5

The extremum point is:

h(3.5) = 3.5² - 7 x 3.5 - 8 = -32.5

Since the quadratic term x²  has a positive coefficient, the graph is open downward, hence the extremum point is the minimum one.

Complete question:

Find the extremum of each function using the symmetry of its graph. classify the extremum of the function as a maximum or a minimum and state the value of x at which it occurs. h(x) = x² - 7x - 8

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The volume of the cylindrical fish tank is given by the equation

V = 282.74 inches³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylindrical fish tank r = 3 inches

The height of the cylindrical fish tank h = 10 inches

The volume of fish tank = πr²h

Substituting the values in the equation , we get

Volume of Cylindrical fish tank V = π x ( 3 )² x 10

On simplifying the equation , we get

Volume of Cylindrical fish tank V = 90π inches ³

Volume of Cylindrical fish tank V = 282.74 inches³

Therefore , the value of V is 282.74 inches³

Hence , the volume of cylindrical fish tank is 282.74 inches³

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There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

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The range of the projectile is approximately 6.9 meters when launched from an initial position of 0.4 meters relative to ground level.

To calculate the range of a projectile, we can use the following formula:

Range = (v₀² * sin(2θ)) / g

where:

v₀ is the initial velocity of the projectile

θ is the launch angle

g is the acceleration due to gravity

First, we need to convert the angle from degrees to radians:

θ_rad = 39 degrees * (π/180) ≈ 0.6807 radians

Now, we can substitute the values into the range formula:

Range = (16² * sin(2 * 0.6807)) / 9.8

Range ≈ 6.9 meters

Therefore, the range of the projectile is approximately 6.9 meters when launched from an initial position of 0.4 meters relative to ground level and lands at a position of -0.2 meters relative to ground level.

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Answer:

x = 5

Step-by-step explanation:

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

      40 = 8x

       8      8

       5  =  x

The value of x should be 5.

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).

As, to from the square using the dimension of parallelogram the value of x should be 5

as the side of square is equal.

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

40 = 8x

5  =  x

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Answer:

ms finch

Step-by-step explanation:

.

The expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

The given parameters are:

\(\mathbf{\theta =36^o}\) --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

The distance (s) is then calculated using the following sine ratio

\(\mathbf{ sin(\theta) = \frac{h}{s}}\)

Make s the subject

\(\mathbf{ s = \frac{h}{sin(\theta)}}\)

Substitute \(\mathbf{\theta =36^o}\)

\(\mathbf{ s = \frac{h}{sin(36)}}\)

Evaluate sin(36)

\(\mathbf{ s = \frac{h}{0.5878}}\)

The height of the tree is not known.

Hence, the expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

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The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

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Answer:

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes

Step-by-step explanation:

The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours

The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours

Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours

Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;

10 worker hours per truck or 10 worker·h/(truck)

Similarly we have;

The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours

Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;

40 worker·h/(truck)

Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks

We have;

\(\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks\)

Which can be simplified as follows;

\(\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks\)

\(t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours\)

t = 40/3 hours =  13 hours and 20 minutes

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes

Answer:

miles/gallons: 80/5 = 48/g

Cross multiply

80g = 240

g = 3 gallons

Step-by-step explanation:

4 gallons will​ Hank's pickup need to travel ​76 miles.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

​Hank's pickup can travel 95 miles on 5 gallons of gas.

95 miles ⇒  5 gallons of gas

76 miles ⇒ X

95X = 76 × 5

X = \(\frac{76(5)}{95}\)

X = 4

4 gallons will​ Hank's pickup need to travel ​76 miles.

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Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  \(\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\)

_____

Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

Answer:

d. and h.

Step-by-step explanation:

from what I can see from the unfocused picture, there are the following whole number points in the function :

(1, 3)

(2, 2)

(5, 1)

a. and d. are the only ones supporting (1, 3). x = 1 makes the square root 0 and therefore y (the functional result) 3.

but (2, 2) or (5, 1) then show we need the negative square root. x = 2 makes the square root 1, and we need -1 to be added to 3 to create 2 as y value.

so, d. is correct.

the square root makes it necessary that x >=1, because for smaller x values the square root would be for a negative value, which is not defined for real numbers.

and the maximum for y is for x=1 : y=3.

for larger x values the y values just go further down.

so, h. is the second right answer.

Answer:

Step-by-step explanation:

not sure 2

The area of the trapezoid with the assumed values is 36 square units

From the question, we have the following parameters that can be used in our computation:

Area = 1/2(b1 + b2) * h

Using the above as a guide, we have the following:

b1 and b2 = the parallel sides

h = height of the trapezoid

Using assumed values, we have

Area = 1/2 * (5 + 7) * 6

Evaluate

Area = 36

Hence, the area is 36 square units

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Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

Answer:

-2

Step-by-step explanation:

2x-6x=8

-4x=8

x=-2

Answer:

x=1

Step-by-step explanation:

AB+BC=AC

2x+6x+8=16

8x+8=16

8x=16-8

8x=8

divide both sides by 8

x=1

its a shirt................

Answer:

a Shirt

Step-by-step explanation:

of course

Answer:

Step-by-step explanation:

1. Increase of 10% in price of shirt.
2. Decrease of 10% in price of shirt.
Hence- both amounts cancel out, therefore there is 0% change in price of shirt as both percentages cancelled out, or we can say nullified each other. Because they added the same amount to the item and then subtracted the same percent leading to no change.

The type of sample used in the Twiigs poll asking about the influence of concern about autism on vaccination decisions was a voluntary response sample.

A voluntary response sample, also known as a self-selected sample, is a type of sampling method where individuals self-select to participate in a survey or poll. In the case of the Twiigs poll, users of the website voluntarily chose to participate by voting on the poll. The poll was accessible to anyone who visited the website, and individuals could choose whether or not to respond to the question.

The key characteristic of a voluntary response sample is that participation is based on the individual's own decision and initiative. This type of sample can introduce bias since those who choose to participate may have different characteristics or opinions compared to the overall population. In the context of the poll, individuals who were more concerned about autism and its potential link to vaccines may have been more motivated to participate and express their views. Therefore, the results of the poll may not accurately represent the general population's opinions on the topic.

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Answer: 40%

Step-by-step explanation: To find what percentage of members voted for Hans simply multiply 32 by 100.

32 x 100 = 3200.

Then, divide that number, or 3200 by 80.

3200/80 = 40.

So, 40, or 40% of members voted for Hans.:)

To construct a box plot for the given data, we need to find the five key statistics: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

These values will determine the positions of the five movable parts of the box plot. To construct the box plot, we start by ordering the data in ascending order: 45, 45, 46, 47, 49, 55, 59, 61, 70, 70, 79, 79. The minimum value is 45, and the maximum value is 79. The median is the middle value of the dataset, which in this case is the average of the two middle values: (55 + 59) / 2 = 57. The first quartile (Q1) is the median of the lower half of the dataset, which is the average of the two middle values in that half: (45 + 46) / 2 = 45.5. The third quartile (Q3) is the median of the upper half of the dataset, which is the average of the two middle values in that half: (70 + 70) / 2 = 70.

Now that we have the five key statistics, we can construct the box plot. The plot consists of a number line where we place the movable parts: minimum (45), Q1 (45.5), median (57), Q3 (70), and maximum (79). The box is created by drawing lines connecting Q1 and Q3, and a line is drawn through the box at the median. The whiskers extend from the box to the minimum and maximum values. Any outliers, which are data points outside the range of 1.5 times the interquartile range (Q3 - Q1), can be represented as individual points or asterisks. In this case, there are no outliers.

In summary, the box plot for the given data will have the following positions for the movable parts: minimum (45), Q1 (45.5), median (57), Q3 (70), and maximum (79).

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the value of t is found to be 16.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Li has t toy bricks only red and blue She picks two bricks one after the other If the first is red the probability of the second brick being red 2/3.

If the first is blue the probability the second brick is red is 7/10.

Let the number of red bricks be x.

So, the number of blue bricks would be t - x

We have 6x-6 = 5x

x =6

and we get t-1 =15

t =16.

Hence the value of t is found to be 16.

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