Alex needs
80
cm
80 cm80, start text, space, c, m, end text of thread for a sewing project. The thread is on a spool with a circumference of
10
cm
10 cm10, start text, space, c, m, end text.
How many times must Alex unwind the spool to get the length of thread he needs?

Remember that

27=(3)(3)(3)

57=(3)(19)

therefore

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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1: would be 8.9

2.

8 4 5

9 40 41

5 12 13

3. would be 13.26

Step-by-step explanation:

1.  A^2+B^2=C^2

   4^2+8^2=C^2

   16+64=80

   √80 = 8.9

2. It's the Pythagorean Triples

3.  A^2+B^2=C^2

    A^2+7^2=15^2

    A^2+49=225

    49 - 225= 176

    √176 = 13.27

Plz give brainliest

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

3x/4 = 5

Step-by-step explanation:

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

--------------------------------------------------------------------------------------------------------------------------

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The required simplification of the given expression \(=\lim_{x \to \infty} \frac{x^2-4x +4}{x^2-4}\) is 1.

Given that,
To determine the simplified value of the expression \(=\lim_{x \to \infty} \frac{x^2-4x +4}{x^2-4}\).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
\(=\lim_{x \to \infty} \frac{x^2-4x +4}{x^2-4}\)
\(=\lim_{x \to \infty} \frac{x^2(1-4/x +4/x^2)}{x^2(1-4/x^2)}\)
Now put limits, so 1 / x², 1 / x becomes zero so,
= 1

Thus, the required simplification of the given expression is 1.

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Hi there! :)

We are given the slope of the line and a point that it passes through.

Using this information, we can write the equation in point-slope form:

y-y1=m(-x1)

y-1=-1/2(x-6)

y-1=-1/2x+3

Now, move -1 to the right, using the opposite operation:

y=-1/2x+3+1

y=-1/2x+4

And that's our equation. Hope it helps.

*Graceful Dreamer here to help

Good luck.

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer: Para encontrar el denominador que falta, podemos utilizar una regla de tres simple. En este caso, queremos encontrar el valor de la segunda fracción, por lo que podemos escribir:

2/7 = 10/x

Para despejar x, podemos multiplicar ambos lados de la ecuación por x y luego dividir por 2:

2/7 * x = 10

x = 10 * 7 / 2

x = 35

Por lo tanto, el denominador que falta en la segunda fracción es 35. La fracción completa es:

2/7 = 10/35

The correct answer for the solution of  inequality  is \(x\geq 8\).

Let the unknown number be "\(x\)."

The statement  "a number plus four" can be written  as "\(x+4\)."

The phrase "is greater than or equal to twelve" can be expressed as "\(\geq 12.\)

Put these together, the inequality becomes:

\(x + 4\geq 12\)

solve for "\(x\),"  isolate the variable on one side of the inequality:

Subtract -\(4\) from both side of the expression:

\(x + 4 - 4 \geq 12 - 4\)

\(x\geq 8\)

The correct expression for the  inequality is  \(x\geq 8\)

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Answer:

it is more like, 4x4=16

16x4=64

Step-by-step explanation:

I know it can be confusing, but you will eventually get it :)

i think you were adding 4+4+4=12, but that is not what you are supposed to do here.

Hope i helped :)

my calculator says 851/12 or 70 11/12

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer simplifying  the expressiοn is cοt x - csc² x / cοt x = (cοs x - sin x) / sin x.

Trigοnοmetry is a branch οf mathematics that deals with the study οf the relatiοnships between the angles and sides οf triangles. It is used tο analyse and sοlve prοblems related tο triangles and periοdic phenοmena.

Trigοnοmetry is based οn the three basic trigοnοmetric functiοns: sine, cοsine, and tangent, which relate the angles οf a right triangle tο the lengths οf its sides. These functiοns can alsο be extended tο nοn-right triangles and tο angles in the unit circle.

We can simplify the given expressiοn using the basic trigοnοmetric identities:

cοt x - csc² x / cοt x

= cοt x - 1/sin² x / cοs x / sin x

= cοt x - cοs x / sin x

= (cοs x / sin x) / (cοs x / sin x) - (cοs x / sin x)

= (cοs x - sin x) / sin x

Therefοre, cοt x - csc² x / cοt x = (cοs x - sin x) / sin x.

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Answer:

a. 493 ft.

b. 269 ft.

Step-by-step explanation:

Please see the attached pictures.

a. Since we are interested in the length of AD, and ∆ABD does not have a right angle, we should think about using sine rule or cosine rule. We are only given two lengths in ∆ABD thus let's find one more angle, ∠ABD.

∠ABD= ∠ABC -∠CBD

∠CBD= 10° (given)

Since the tower should be vertically upright from the ground, we can assume that ∠ABC is 90°.

∠ABD= 90° -10°

∠ABD= 80°

With 2 lengths and 1 angle, we can apply cosine rule to find the length of the 3rd side:

\(\textcolor{steelblue}{{ {c}^{2} = {a}^{2} + {b}^{2} - 2abcosC}}\)

(AD)²= 500² +100² -2(500)(100)(cos80°)

After simplifying and taking the square root of both sides, we obtain:

AD= 492.58 (5 s.f.)

AD= 483 (3 s.f.)

Thus, the guy wire has to be \(\textcolor{red}{{483 ft}}\).

__________

b. Here, we make the assumption that the 500 ft. is excluding the height of the antenna and each square unit has the same height.

The tower is made up of 12 boxes, while the second guy wire is connected to the 6th box of the tower from the ground.

12 boxes ----- 500 ft

6 boxes ----- 500 ÷2= 250 ft

Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Applying Pythagoras' Theorem,

x²= 100² +250²

x²= 72500

Taking the square root of both sides:

x= 269.26 (5 s.f.)

x= 269 (3 s.f.)

Thus, the length of the second guy wire is \(\textcolor{red}{{269 ft}}\).

Answer:

a) 493 ft (nearest foot)

b) 269 ft (nearest foot)

Step-by-step explanation:

Part a

The guy wire creates a triangle with the tower with the following:

Therefore, as we have an angle with 2 adjacent side lengths, we can use the cosine rule to find the length of the unknown side opposite the angle.

cosine rule:  c² = a² + b² - 2ab cos C

(where C is the angle, a and b are the sides adjacent the angle, and c is the side opposite the angle)

Substituting given values into the equation and solving for c:

   c² = a² + b² - 2ab cos C

⇒ c² = 500² + 100² - 2(500)(100) cos(80°)

⇒ c² = 260000 - 100000cos(80°)

⇒ c = √[260000 - 100000cos(80°)]

⇒ c = 492.5801277...

Therefore, the length of the guy wire that is connected to the top of the tower and is secured at a point on the sloped side 100 ft from the base of the tower is 493 ft (nearest foot).

Part b

From inspection of the diagram, we can see that the second (left) guy wire is attached halfway up the height of the tower.

This guy wire creates a right triangle with the tower with the following:

Therefore, as we have the length of both legs of a right triangle, we can use Pythagoras' Theorem to find the length of the wire:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Substituting given values into the equation and solving for c:

   a² + b² = c²

⇒ 100² + 250² = c²

⇒ c² = 72500

⇒ c = √(72500)

⇒ c = 269.2582404...

Therefore, the length of the second guy wire is 269 ft (nearest foot)

The expression can be used to find the area, in square units, of the Shaded triangle in the Square is  1/2 ( 4 · 4 ) .

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

where s = side length.

If a diagonal is drawn to create 2 halves, then area of each half is 8.

So, The area of a square = 1/2 ( 4 · 4 ) = 16.

If a square has a side length of 4, then the area of the square is 16.

The expression can be used to find the area, in square units, of the Shaded triangle in the Square is  1/2 ( 4 · 4 ) .

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

here I hope this helps

Step-by-step explanation:

Hey there!

We generally use double point formula for the equation of a st.line passing through points.

Here,

(0,-2) and (2,8) are two points.

Using two point formula,

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Put all values.

\((y + 2) = \frac{8 + 2}{2 - 0} (x - 0)\)

Simplify them to get answer.

\((y + 2) = 5(x - 0)\)

\(y + 2 = 5x\)

\(y = 5x - 2\)

Therefore therequired equation is y = 5x-2.

Hope it helps...

Answer:

B

Step-by-step explanation:

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

A.3   it is not true since it doesn't satisfies second inequality

B.5   it is true

C.7   it is true

D.9   it is true

E.11   This is clearly false, since it doesn't satisfies inequality third

F.17 This is clearly false, since it doesn't satisfies inequality third

Hence, correct options are:

B.5

C.7

D.9

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer:

(1/2)x-1/2 hope this is the answer if it's not then srr

The inverse of the function is h ( x ) = (1/2)x - 1/2

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2x + 1

The inverse of the function is calculated by taking the x coordinate and replacing it with y

So , the function now becomes

x = 2y + 1

On simplifying , we get

Subtracting 1 on both sides , we get

2y = x - 1

Divide by 2 on both sides , we get

y = ( x - 1 ) / 2

Now , replacing y with x , we get

h ( x ) = ( x - 1 ) / 2

h ( x ) = ( 1/2 )x - ( 1/2 )

Hence , the inverse of the function is h ( x ) = ( x - 1 ) / 2

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The amount that the taxpayer is owing in taxes is $2,691.05.

We have,

Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.

Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.

The tax payable will equals to:

= 15%*$11,757 + $927.50

= $1,763.55 + $927.50

= $2,691.05

Hence, The amount that the taxpayer is owing in taxes is $2,691.05.

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complete question:

Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?

Answer:

0

Step-by-step explanation:

1x=x

-x/1=-x

x-x=0

Answer:

Brainleist !

Step-by-step explanation:

x - x /1

x - x = nothing or 0

Answer: Roughly Symmetrical

Step-by-step explanation: There's no super easy way to explain why other than learning with experience but if you look at about the center of the graph, there are two peaks, and each side of the graph if split at about 68 which is the center, has 7 points each. This in conjunction with the shape and relatively normal spread makes it roughly symmetrical, not quire symmetrical but getting there.

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

a.

17 minutes is equivalent to 17*60 = 1020 seconds

22 minutes is equivalent to 22*60 = 1320 seconds

d: distance of the flowerbed from the hive. (in feet)

speed = distance/time

then, time = distance/speed

The bee spends some time travelling to the flowerbed, then staying at the flowerbed and finally travelling back to the hive. This can be expressed as follows:

d/12 + 1020 + d/8 = 1320

b. Solving for d:

2d/24 + 3d/24 = 1320 - 1020

5d/24 = 300

d = 300*24/5

d = 1440 ft

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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