I need to know these answers and may you please draw on the pictures ?

Answer:

3x + 1

Step-by-step explanation:

Answer:

1,120 cm³

Step-by-step explanation:

Hello!

Think about it this way: There is a rectangular prism, with lengths of 20cm, 12cm, and 10cm, and another rectangular prism cut out of it with lengths, of 8cm, 8cm, and 20cm.

Volume = L * W * H

V = L * W * H

Subtract:

The total volume is 1,120cm³

Answer:

1,3

Step-by-step explanation:

1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer:

1. 0.1684 = 16.84%.

2. 0.2568 = 25.68%

3. 0.0013 = 0.13%

4. 0.0126 = 1.26%.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have blood that is Group O, or they do not. The probability of a person having blood that is Group O is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

45% of them have blood that is Group O

This means that \(p = 0.45\)

Question 1:

This is P(X = 6) when n = 16. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{16,6}.(0.45)^{6}.(0.55)^{10} = 0.1684\)

So 0.1684 = 16.84%.

Question 2:

This is P(X = 3) when n = 8. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{8,3}.(0.45)^{3}.(0.55)^{5} = 0.2568\)

So 0.2568 = 25.68%.

Question 3:

This is P(X = 16) when n = 20. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 16) = C_{20,16}.(0.45)^{16}.(0.55)^{4} = 0.0013\)

So 0.0013 = 0.13%.

Question 4:

This is P(X = 9) when n = 11. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 9) = C_{11,9}.(0.45)^{9}.(0.55)^{2} = 0.0126\)

So 0.0126 = 1.26%.

Answer:

x= 7

y= -2.75

Step-by-step explanation:

It's a system of equations so you have to use elmination to get a varibale.

I elminiated the y by multipling 5x+4y=24 by 2 and combining the two equations.

So now we are on 12x= 84. solve

x=7

plug it back into any formula, I chose 2x-8y=36 and solve for y

and you get the answer, Voila!

Answer:

5x + 4y = 24 (-4/5y + 24/5)

2x - 8y = 36 (4y + 18)

Step-by-step explanation:

Add -4y to both sides 1) 5x + 4y (-4y) = 24 (-4b)

Divide both sides by 5 2) 5x/5 = -4y+24/5

3) x = -4/5y + 24/5

Add 8y to both sides 1) 2x - 8y (8y) = 36 (8y)

Divide both sides by 2 2) 2x/2 = (8y + 36)/2

3) 4y +18

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

375, 450, 9, 750

is, always, 75

Step-by-step explanation:

Hope this helps, dont stress out you got this

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Given:

Required:

To find the range of the function (uv)(x).

Explanation:

We know that

The horizontal asymptote of this function is at y=3.

So, the range of this function is from

Final Answer:

The range of (uv)(x) is

Answer: d.12

Step-by-step explanation:

Answer:

\(2 {b}^{2} - 5b - 63\)

Step-by-step explanation:

\((b - 7) \times (2b + 9)\)

\(b \times 2b + 9b - 7 \times 2b - 7 \times 9\)

\(2 {b}^{2} + 9b - 14b - 63\)

\(2 {b}^{2} - 5b - 63\)

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

Trade discount refers to the reduction in list price known as a discount, allowed by a supplier to the consumer while selling the product generally in bulk quantities to the concerned consumer to increase the sales of the business as more customers are attracted when the discount is given on the list price of the product.

We have to calculate the trade discount for 15 boxes of computer paper.

the unit price of computer paper is $ 14.26, and a single trade discount rate is 45% allowed.

The trade discount on one unit computer paper is.

= 45%×14.26

= $6.417

now, trade discount on 15 unit of computer paper box is.

=6.417×15

=$96.255.

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

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The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

B) b=13

Step-by-step explanation:

13-4x is the same as -4x+13

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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At the 24th House, they will first meet.

List the multiples to determine the LCM.

List the initial range of each number's multiples.

Search for multiples that appear on both lists. Write out additional multiples for each number if there aren't any common multiples in the lists.

Find the least quantity that appears on both lists.

The LCM is this number.

According to the given information

Each sixth residence is visited by one group.

The second group visits every eighth house.

So

We need to find the house number where both the groups will meet

For that

We must determine the LCM of 6 and 8.

LCM(6) = LCM(8) = 3*2*4 = 24.

At the 24th House, they will first meet.

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

In science, lines are present everywhere—in an algebraic lens or elsewhere. Knowing how to calculate a line's slope makes it possible to determine a number of things, including whether two lines are parallel or perpendicular, if they will intersect, and many more. All thought is alike. to presume a line's confidentiality.

Koda post: According to the definition of privatization, it is true in the definitions of height (vertical distance) and circularity between any two sentences of the line. This is known as the Privatya-sutra or Phal-sutra.   M = rise/run

• Locate the "m" in the formula, which is s: y=mx+b, or "y" is the y-direction of another point, "m" is the publication, or otherwise, "x" is the x-direction in which the y-territories are located.

To find the slope of a perpendicular line

If two lines are perpendicular to each other and neither is horizontal (parallel to, or coincident with, the X axis) or vertical (parallel to, or coincident with, the Y axis), then the products of their slopes (gradients) is -1. Therefore their slopes are negative reciprocals of each other.

So if A and B are two lines that are perpendicular to each other, neither of which is horizontal or vertical, g is the slope of A, and g' is the slope of B then:

g×g’ = -1.

So g = -1/g' and g' = -1/g.

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6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.

6E6 = 6 x 10^6

Evaluating the exponent 6 means multiplying 6 by 10 six times:

6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10

Simplifying the expression, we get:

6 x 10^6 = 6,000,000

Therefore, 6E6 in standard form is 6,000,000.

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

Answer:

give it to me now and then I'll do it

Answer:

Step-by-step explanation:

40% of 15 L = 6 L of acid

20% of 25 L = 5 L of acid

This means the mixture contains a total of 11 L of acid, and with a total volume of 15 L + 25 L = 40 L, that means the mixture is at a concentration of

(11 L acid) / (40 L solution) = 0.275 = 27.5%

Answer:

x = 56°

Step-by-step explanation:

The triangle given has two equal sides, therefore, it is an isosceles triangle. And isosceles triangle has two equal base angles which are opposite to each of the equal sides.

Therefore:

2(62°) + x = 180° (sum of triangle)

Solve for x

124° + x = 180°

x = 180° - 124°

x = 56°

As per the given condition of red and black marbles for total number of marbles 240 , the number of red marbles in the bag is equal to 234.

As given in the question,

Total number of marbles in the bag = 240 marbles

Let x be the number of marbles

For every black marble there are 39 red marbles in a bag

Ratio of red marbles to the black marbles is 39 : 1

Required equation to represent the red and black marbles

39x + 1x = 240

⇒ 40 x = 240

⇒ x = 240 /40

⇒ x= 6

Number of red marbles =  39 × 6

                                     = 234 marbles

Therefore, as per the given condition of red and black marbles for total number of marbles 240 , the number of red marbles in the bag is equal to 234.

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Answer:

40°

Step-by-step explanation:

x +2x+50=180 [sum of interior angles of a triangle]

or,3x=180-50

or,x=130/3

x=130/3

2x=2×130/3

Answer:

Step-by-step explanation:

Well as the chair of the fed i would need to mandate things to help have maximum employment fair stable prices and to help moderate long term interest rates. The monetary role im going to take is commodity based money.