Write down the lower bound and the upper bound
(a) 4g measured to the nearest gram

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

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Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

Answer:

False

Step-by-step explanation:

Prisms can have more than one base.

Answer:

81 hours

Step-by-step explanation:

Let x be the time are needed

45：5 = x：9

5x = 45×9

5x = 405

x = 81

The time it takes 9 men working at the same pace to build this wall​ is 81 hours

Let x be the time are needed for 9men

If it takes five-man take 45 hours to build a wall then, we can have the ratio

45：5 = x：9

5x = 45×9

5x = 405

x = 81

Hence the time it takes 9 men working at the same pace to build this wall​ is 81 hours

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The shapes that would be formed by the nets are:

a. Cuboid

b. square pyramid

A cuboid is a shape that is formed by the net that has six (6) flat faces with angles that are right angles.

The net in figure a above would form a cuboid shape when joined together.

A square pyramid is a thee-dimensional geometric shape that is formed by the net consists of a square base and four triangular sides which joined together at a common vertex.

The image attached below shows the shape that would be formed by the net in figure B, which would be a square pyramid.

Therefore:

a. Cuboid

b. square pyramid

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Answer: 0 17.251 = -7.25

0 17.251 = 17.251

Step-by-step explanation:

make sense

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

      3 ± 6√2

y = ----------------

            4

The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.

The equation that represents the total cost of peaches and apricots is:

Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)

$5 = ($0.85 x p) + ($0.55 x a)

Total cost of buying 1 peach and 8 apricots:

($0.85 x 1) + ($0.55 x 8) = $5.25

Total cost of buying 2 peaches and 5 apricots:

($0.85 x 2) + ($0.55 x 5) = $4.45

Total cost of buying 3 peaches and 7 apricots:

($0.85 x 3) + ($0.55 x 7) = $6.40

Total cost of buying 4 peaches and 3 apricots:

($0.85 x 4) + ($0.55 x 3) = $5.05

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Answer:

-2 3/4.

Step-by-step explanation:

8 2/3 = 26/3

26/3 / -104/33

= 26/3 * 33/-104

= 1 /3 * 33/-4

= 1/1 * 11/-4

= -11/4

= -2 3/4.

Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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Answer:

When it increases slowly with time

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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The rate of change in the given graph is 21/4.

The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:

Rate of change = Δy / Δx

To calculate the rate of change of the given graph, we need to identify 2 points first. We take:

(0, 0)

(4, 21)

Rate of change = Δy / Δx

Rate of change = y₂ - y₁

                             x₂ - x₁

Rate of change = 21 - 0

                               4 - 0

Rate of change = 21/4

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Answer:

y=-1/2x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

If you spend 110% more you would have spent 105 dollars. 110 percent of 50 is 55 so I added that to the orginal amount to get what you would have spent if you spent 110 percent more

Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).

Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.

On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.

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Answer:

B. 72.5

Step-by-step explanation:

b° = 1/2(180° - 35°)

b° = 1/2 * 145°

b° = 72.5°

b = 72.5

The value of angle b will be 72.5°. Then the correct option is B.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The central angle is 35°. Then the angle at the periphery will be

⇒ 35 / 2

⇒ 17.5°

We know that the radius of the circle and tangent of the circle makes 90°.

Then the angle b is given as

b + 17.5 + 90 = 180

                  b = 180 – 107.5

                  b = 72.5°

Thus, the value of angle b will be 72.5°.

Then the correct option is B.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

The square root of 20 is 4.472.

Step-by-step explanation:

Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

When t is equal to 14(π/3) in the function r(t) = sin(t), the corresponding output value is √3/2.

In mathematics, functions play a crucial role in describing relationships between variables. One type of function is the trigonometric function, which deals with the properties and relationships of angles.

In this problem, we are given a trigonometric function r(t) = sin(t) and asked to find the value of r(14)(π/3).

The function r(t) = sin(t) represents a sine function, where t is the input variable (in this case, representing time) and r(t) is the corresponding output. The sine function, denoted by sin(t), calculates the ratio of the length of the side opposite a given angle in a right triangle to the hypotenuse. However, in this context, we are dealing with the unit circle, where the x and y coordinates of a point on the circle correspond to the sine and cosine values of the angle, respectively.

To find r(14)(π/3), we need to substitute 14(π/3) into the function

r(t) = sin(t).

Step 1: Multiply 14 by π/3:

14(π/3) = (14π)/3

Step 2: Substitute the result into the function:

r(14)(π/3) = sin((14π)/3)

At this point, we have the expression sin((14π)/3), which represents the value of the sine function at an angle of (14π)/3.

To evaluate sin((14π)/3), we can use the properties of the sine function and the unit circle. In the unit circle, the x-coordinate of a point on the circle corresponds to the sine value of the angle.

Step 3: Simplify the angle:

(14π)/3 = (12π)/3 + (2π)/3 = 4π + (2π)/3

Step 4: Find an equivalent angle within the unit circle:

To find an equivalent angle within the unit circle, we need to subtract or add full revolutions (2π) until the angle falls within the range [0, 2π].

In this case, 4π is equivalent to 2 full revolutions (2π) since it takes us back to the same point on the unit circle.

Thus, we can simplify the angle to (2π)/3.

Step 5: Evaluate the sine function at (2π)/3:

To find the sine value at (2π)/3, we can refer to the unit circle. At (2π)/3, the x-coordinate of the corresponding point on the unit circle is √3/2.

Therefore, r(14)(π/3) = sin((14π)/3) = sin((2π)/3) = √3/2.

After evaluating the given expression, we find that r(14)(π/3) = √3/2. This means that when t is equal to 14(π/3) in the function r(t) = sin(t), the corresponding output value is √3/2.

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Here's your answer..........

Answer:

The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Step-by-step explanation:

We proceed to present the demonstration of the following proposition:

If Y is the midpoint of XZ, then XY = 1/2 XZ.

1) Y is the midpoint of XZ. Given.

2) \(XY + YZ = XZ\) Definition of line segment.

3) \(XY = YZ\) By 1)

4) \(2\cdot XY = XZ\) 3) in 2)

5) \(XY = \frac{1}{2}\cdot XZ\) Algebra/Result

Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Answer:

you move three places to to left so the answer is 3 and left

Answer:

a

Step-by-step explanation: