The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?

The diagram below show the situation given in the problem:

We know that the diagonals of a parallelogram bisect each other, which means that AE=CE and BE=DE; using the second equality we have that:

Therefore, the value of y is 6 and the answer is A.

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

Step-by-step explanation:

tan30 = opp/adj = x/1

x = tan30 = ⅓√3 or approximately 0.577

Answer:

The Domain of g (x) = x2 is all the Real Numbers.

Step-by-step explanation:

The composed function is: (g º f) (x) = g (f (x)) = (√x)2. = x. Now, "x" normally has the Domain of all Real Numbers ... ... but because it is a composed function we must also consider f (x), So the Domain is all non-negative Real Numbers.

In conclusion the coordinates of the image quadrilateral A'B'C'D' after the translation are: A' = (0,-3) B' = (3,0) C' = (2,3) D' = (-1,4)

How to solve and what does coordinates mean?

To find the coordinates of the image of each vertex after the translation, we apply the given rule to each vertex:

Vertex A: (-2,-2) --> (-2+2,-2-1) = (0,-3)

Vertex B: (1,1) --> (1+2,1-1) = (3,0)

Vertex C: (0,4) --> (0+2,4-1) = (2,3)

Vertex D: (-3,5) --> (-3+2,5-1) = (-1,4)

Therefore, the coordinates of the image quadrilateral A'B'C'D' after the translation are:

A' = (0,-3)

B' = (3,0)

C' = (2,3)

D' = (-1,4)

In mathematics, coordinates are used to describe the position of a point in space. The most common system for assigning coordinates to points is the Cartesian coordinate system, which uses two or more numerical values to represent the position of a point relative to a fixed reference point, usually called the origin.

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

An equivalent expression is given by  (2 / x ^ 3) * sqrt (2)

We have the following expression

8 / x ^ 6

Rewriting we have

sqrt (8 / x ^ 6)

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

(2 / (x * x * x)) sqrt (2)

(2 / x ^ 3) * sqrt (2)

An equivalent expression is given by

(2 / x ^ 3) * sqrt (2)

Therefore an equivalent expression is given by  (2 / x ^ 3) * sqrt (2).

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The limit of f(x) as x approaches 10 is 315 and The value of k is 250.

The function f(x) is a piecewise function, so we need to evaluate it separately for x < 10 and x >= 10.

\(f(x)= { \frac{(0.1x(2)+20x+15,x < 10)}{(0.25x(3)+k,x > 10)}\)

For x < 10, the function is equal to 0.1x^2 + 20x + 15. So the left-hand limit of f(x) as x approaches 10 is equal to 0.1(10)^2 + 20(10) + 15 = 315.

For x >= 10, the function is equal to 0.25x^3 + k. So the right-hand limit of f(x) as x approaches 10 is equal to 0.25(10)^3 + k = 250 + k.

Since the left-hand limit and the right-hand limit are equal, the limit of f(x) as x approaches 10 is also equal to 315, and the value of k is equal to 250.

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Answer:

14 square units

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer:

Vertically opposite angles are always same.

Straight angle=180°

Angle MQN=70°

Answer:

$460

Step-by-step explanation:

Let

x = original price of the television

Sale price = $322

Discount = 30%

x - 30% of x = 322

x - 0.3 * x = 322

x - 0.3x = 322

0.7x =322

x = 322/0.7

x = $460

x = original price of the television = $460

Answer:

72

Step-by-step explanation:

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:

2 1/4 inches longer

THE CORRECT ANSWER IS 2 1/4. hope this help

We currently have two fractions: y / 1 and (y - 3) / 3.

In both cases, we are only concerned with the denominator. Yes, the numerator will change when we change the denominator, but that will not affect the answer to this question.

As such, we need to find the least common multiple of 1 and 3. That is 3. Therefore, the common denominator is 3.

Hope this helps!

Answer:

What did you need halp with

Step-by-step explanation:

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

Answer:

9.55555555.......

Step-by-step explanation:

n is 27 because 27÷9=3. 3n is 81 because 27×3=81. 81+5=86 and 86÷9 is 9.55555555555.....

Answer:

5

Step-by-step explanation:

A number n is divided by 9 is 3

Find the remainder when 3n + 5 is divided by 9.

As we see the resultant number, when divided by 9 will leave a remainder of 5

So the answer is 5.

The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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An equation to represent the situation and solve the equation of the number of cans of beans Jason can buy is x = 8.69/0.61 and x = 14.

An equation is a statement in mathematical terms that show that two or more algebraic expressions are equal or equivalent.

Algebraic expressions are formed with variables, constants, values, and numbers, in addition to mathematical operands without the equal sign (=).

The total budget on beans = $8.69

The unit price for a can of beans = $0.61

Let the number of cans of beans = x

x = 8.69/0.61

x = 14.2

x = 14

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The price of a can of beans is $0.61

Let x represent the smaller odd number.

The difference between 2 consecutive odd numbers is 2

This means that the larger odd number would be x + 2

Given that the sum of the two consecutive odd numbers is 36, it means that

Therefore,

the small odd number is 17

the larger odd number is 17 + 2 = 19

Answer:

4.54 x 1010

Hope this helps!

Answer:

I think its C

Step-by-step explanation:

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:yes

Step-by-step explanation:yes

Answer:

3/8 = x/75,000

Step-by-step explanation:

We are looking for x, the number of people in a city of 75,000 that use the shampoo.

3 is to 8 as x is to 75,000

3/8 = x/75,000