Simplify -7 + 9 /10 + 3 /7 + (-5) + 5 /11 + (6 /5) (2024)

The meaure of the exterior angle to ∠X is found to be 84.13°.

Given;

In triangle XYZ,

m∠Y = 45. 43°

m∠Z = 38. 7°

We know that, the sum of three angles of a triangle is 180° ,

Therefore,

∠X + ∠Y + ∠Z = 180°

⇒ ∠X + 45.43 + 38.7 = 180

⇒ ∠X + 84.13 = 180

⇒ ∠X = 95.87

∴ ∠X = 95.87

Now, we have to find the exterior angle to ∠X

As we know, the ∠X and the exterior angle to ∠X will on a straight line.

So, ∠X + exterior angle to ∠X = 180°

⇒ 95.87 + exterior angle to ∠X = 180

⇒ exterior angle to ∠X = 84.13

∴ exterior angle to ∠X = 84.13°.

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The steps to graph the function are

Plot the parent function f(x) = x²Translate left by 4 unitsReflect across the x-axisTranslate down by 6 units

How to describe the steps to graph the function?

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

f(x) = -(x + 4)² - 6

The above function is a quadratic function

A quadratic function has its parent function to be

f(x) = x²

First, we have the transformation to be:

From f(x) = x² to f(x) = (x + 4)²

This means the function is translated left by 4 units

Next, we have the transformation to be:

From f(x) = (x + 4)² to f(x) = -(x + 4)²

This means the function is reflected across the x-axis

Lastly, we have

From f(x) = -(x + 4)² to f(x) = -(x + 4)² - 6

This means the function is translated down by 6 units

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The value of economic output measured in an economy over a year is known as real GDP. It is an adjusted for inflation measure. IT uses base year prices to compute GDP growth. Therefore, just the change in output is included and the change in price is not included.

In the base year, a green pepper cost $2. Red pepper cost $3 per pound.

Real GDP

= 150 × $2 + 60 × $3

= $300 + $180

= $480

The real GDP in the current year is $480.

The real GDP this year if the base year was last year is $480.

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Answer:

4. 638 bacteria

5. 684 hours or 28.5 days

Step-by-step explanation:

4.

1 day = 24 hours

120 hours * 1 day/24 hours =

1 day * 120 hours / 24 hours

1 day * 5 = 5 days ==> 120 hours

500 * (1.05)^5 =

500 * 1.27628 = 638 bacteria

5. 500 * (1.05)^x = 500 * 4 ==> solve for x

500(1.05)^x = 2000

500(1.05)^x / 500 = 2000/500

(1.05)^x = 4

log 1.05 ((1.05)^x) = log 1.05 (4)

x * log 1.05 (1.05) = log 1.05 (4)

x = log 1.05 (4) ==> x = 28.5 days

28.5 days * 24 hours/1 day =

28.5 days / 1 day * 24 hours =

57/2 * 24 =

57 * 24/2 =

57 * 12 = 684 hours

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The area of the given irregular figure is 125 in²

Calculating the area of an irregular figure

From the question, we are to determine the area of the given irregular figure.

To calculate the area of the irregular figure, we will calculate the area of each part of the figure and sum them up

That is,

Area of the irregular figure = (5 in × 4 in) + ((12in + 5 in) × 5 in) + (5 in × 4 in)

Area of the irregular figure = (20 in²) + (17 in × 5 in) + (20 in²)

Area of the irregular figure = (20 in²) + (85 in²) + (20 in²)

Area of the irregular figure = 125 in²

Hence, the area is 125 in²

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To solve this equation, you can multiply both sides by 28 to get rid of the fraction:

4 = x/28

4 * 28 = x/28 * 28

112 = x

So the value of x is 112.

Answer: x = 112

Step-by-step explanation:

4 = x/28

We times 28 on both sides

112= x

Now let test

4 = 112/28

4 = 4

So, x = 112 is the correct answer

a) The total cost to produce 300 CD's is; $2550

b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n

How to find the total cost of production?

We are given that;

Cost of recording an album = $1000

Cost to edit the album = $450

Cost for album art work = $350

Cost of each manufactured CD = $2.50

a) The fixed costs (no matter how many CDs are recorded) is;

Fixed costs = $1000 + $450 + $350 = $1800

The variable costs (depends on the number of CDs recorded) for 300 CD's is;

300 CDs * $2.50 = $750

Thus;

Total cost for 300 CD's = 1800 + 750 = $2550

b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;

C(n) = 1800 + 2.5n

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Complete question is;

A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50

(a) How much will it cost to make 300 CDs?

(b) What is the total cost C(n) in dollars of making n CDs?

The rotational axis or rotational centerlines are referred to as the Z axis when performing precision shaft alignment on horizontal rotating machinery.

The X axis denotes the horizontal position, and the Y axis denotes the vertical position (perpendicular to the base) (parallel to the base).

The three spatial dimensions are represented by the X, Y, and Z coordinates. These stand for length, width, and depth.

We employ the same X, Y, and Z denotations when referring to machines, but we assign them different values or meanings.

The Z axis serves as the center of rotation for aligning vertical rotating gear, although X and Y are employed to reference the two axial planes at a 90-degree angle from one another.

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A quasi-experimental research design used to study changes across the lifespan by observing the same participants at different points in time and measuring the same dependent variable at each time is called a longitudinal design.

A quasi-experimental research design similar to true experiment attempts to establish a cause-and-effect relationship between an independent and dependent variable. However, unlike a true experiment, a quasi-experiment does not depend on random assignment rather subjects are assigned to groups based on non-random criteria.

Longitudinal design is a quasi-experimental research design that involves repeated observations of the same variables over short or long periods of time. It is used to establish relationships between variables that are not related to various background variables and involves studying the same group of individuals over an extended period.

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Answer: infinite solutions

Step-by-step explanation: the two equations seem to be exactly the same

Answer:

A ≈ 38.52in²

Step-by-step explanation:

C Circumference 22 in

One hamburger costs $2 and one chicken nugget costs $3.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, The no. of hamburgers be 'H' and the no. of chicken nugget be 'C'.

Given, On Monday, she purchased 6 hamburger kid meals and 7 chicken nugget kid meals, for a total of $33,

Therefore, 6H + 7C = 33...(1).

Also given, On Thursday, she spent $30 on 3 hamburger kid meals and 8 chicken nuggets.

Therefore, 3H + 8C = 30...(2).

Now, multiplying the eqn (2) by 2 and subtracting it from eqn(1) to cancel out one variable 'H' we get,

- 9C = - 27.

9C = 27.

C = 3 and hence H = 2.

So, The cost of one hamburger is $2 and one chicken nugget is $3.

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There are only 3 types of scatter plots

Scatter Plot for Positive Correlation

Scatter Plot for Negative Correlation

Scatter Plot for Null Correlation

What is a Scatter Plot & its uses?

These days, scatter diagrams are used in a wide variety of situations. Here are a few examples:

while attempting to establish a link between two variables.when numerical data are paired.When identifying possible issues using techniques for root cause analysis.when there is no concern for timing and you simply want to see the connection between two sizable datasets.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

Scatter Plot for Positive Correlation

Scatter Plot for Negative Correlation

Scatter Plot for Null Correlation

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Answer:

the horses name was

Step-by-step explanation:

There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

What is linear function?

A polynomial function with a degree of 0 or 1 is referred to as a linear function. Each term in the function is therefore either a constant or a constant multiplied by a single variable whose exponent is either 0 or 1.A linear function is a straight line in a coordinate plane when it is graphed.A linear function is the easiest function to graph on a -plane. Linear functions are crucial even though they are straightforward! In AP Calculus, we study lines that are contacting or tangent to curves because when we enlarge a curve enough, it resembles and behaves like a line.

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The value of 3 (2x)-7-x square for the value x=-2 will be -23.

How to calculate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The value of 3 (2x)-7-x square for the value x=-2 will be:

3(2x)-7-x² for the value x=-2

= 3(2 × -2) - 7 -(-2)²

= -12 - 7 - 4

= -23

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The combined velocity of the 6000 kg railroad car moving at 5 m/s and the 4000 kg stationary car immediately after the collision, found using the principle of conservation of linear momentum is 3 m/s

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states that the total momentum before and after a collision is the same in the absence of an external force acting on the objects that collide.

The mass of the railroad car, m₁ = 6,000 kg

The speed At which the railroad car is moving, v₁ = 5 m/s

Mass of the stationary car, m₂ = 4,000 kg

v₂ = 0 (the car is stationary)

The mode of motion after the collision = Couple (move) together

The combined velocity can be found using the principle of conservation of linear momentum as follows;

m₁·v₁ + m₂·v₂ = (m₁ + m₂)·v₃
6000 × 5 + 4000 × 0 = (6000 + 4000) × v₃

[tex]v_3 = \dfrac{6000 \times 5 }{6000 + 4000} = 3[/tex]

The combined velocity of the cars immediately after impact, v₃ = 3 m/s

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The radius of the clock is 8 cm.

The diameter of the clock is 16 cm.

The area of the clock is 2001 square cm.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of

2πr.

The area of a circle is πr².

We have,

The clock is considered a circle.

Circumference of the clock = 50 cm

2πr = 50 cm

r = 50/2 x 3.14

r = 8 cm

Now,

Diameter of the clock.

= 2r

= 2 x 8

= 16 cm

Now,

The area of the clock.

= πr²

= 3.14 x 8 x 8

= 200.96
= 2001 square cm

Thus,

The radius diameter and area of the clock are 8 cm, 16 cm, and 2001 square cm.

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26.67% of customers did not use a coupon in the sale.

How to calculate percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Calculating percentage means to find the share of a whole, in terms of 100. There are two ways to find a percentage:

- By using the unitary method.

- By changing the denominator of the fraction to 100.

According to the given question:

An online store holds a sale.

Of the 300 customers who make a purchase during the sale, 120 use a coupon.

Number of customers who did not use coupon = 300 - 120 = 80

Percent of who customers did not use a coupon

= (80/300) x 100

= 26.67%

Therefore 26.67% of customers did not use a coupon in the sale.

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Answer:

>:)

Step-by-step explanation:

97.77777778% increase (98% to the nearest whole number)

Hope this helped - give lots of points and brainliest I need it!! see ya <3

Answer:

1/ m = -3

2/ m = 3/2

3/ m = - 1/2

4/ m = 1/3

Step-by-step explanation:

The slope is rise/run

1/ We see that the y decrease by 3 and the x go over by 1, so the slope is -3.

2/ We see that the y increase by 3 and the x go over by 2, so the slope is 3/2.

3/ Let's pick 2 points ( 0,5) ( 10,0), we see that the y decrease by 5 and the x go over by 10, so our slope is -5/10 = -1/2

4/ The equation of number 4 is in slope-intercept form, y=mx+b; we see that the equation is y= 1/3x - 3/2, so the slope is 1/3.

The probability that a positive integer less than equal to 24 is a factor of 24 is 1/3.

To solve the question, we need to first list all factors of 24.

Factor of 24 are 1 2 3 4 6 8 12 24.

There are 8 factors of 24 which are less than or equal to 24.

Probability of happening of certain event is calculated as number of favorable events divided by total events.

There are total 24 positive integers.

Favorable events are 8.

So the probability of getting a positive integer less than or equal to 24 which is a factor of 24 is 8/24.

=1/3

Therefore, the probability is 1/3.

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Randomized Blocking design is used.

A type of experiment known as a randomized blockdesign involves grouping individuals who have similar characteristics into blocks and randomly assigning the treatment (or intervention) to each block.

The goal of the randomised blockdesign is to divide people into groups that are comparable to one another so that they may be compared using this form of design, systematic error's negative consequences are reduced to a minimum. The effects resulting from changes among the several blocks should be avoided if the investigator concentrates solely on the differences between treatments.

By using these design in this study here dogs are divided into 2 blocks, minimal or severe, and then within these 2 blocks treatments are given.

Therefore this Randomized Blocking design is used.

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Answer: -27

Step-by-step explanation:

Let's start with what we have:

x + 8 = -19

We subtract 8 from both sides:

x = -27

So we get x = -27

Answer:

-27

Step-by-step explanation:

[tex]x + 8 = - 19[/tex]

[tex]x = - 19 - 8[/tex]

[tex]x = - 27[/tex]

Answer:

adverb of manner i guess..

Answer:I used to have problems with this but in reality it's very simple. Let me break it down. A subject can be anything really to be honest.

A subject is the person or thing that is doing the action. For example: Mosquito bites itch. Where mosquito bites is the subject

Answer:

Step-by-step explanation:

3

two fingers plus one finger is three

Answer: 3

Step-by-step explanation:

If I had 2 apples, and then put 1 more apple along with those 2 apples, then I would count 3 apples. 2+1=3

The scientist can conclude that there is strong evidence to suggest that the mean amount of time spent exercising has changed from 30 minutes a day to more than 30 minutes a day at the 1% level of significance.

The scientist can use a one-tailed t-test to test the claim at the 1% level of significance. The null hypothesis is that the mean amount of time spent exercising is 30 minutes a day. The alternative hypothesis is that the mean amount of time spent exercising is more than 30 minutes a day. The t-statistic is calculated as (35 - 30)/ (14/√36) = 3.57. The critical value at the 1% level of significance is 1.64. Since the t-statistic is greater than the critical value, this suggests that there is strong evidence to suggest that the mean amount of time spent exercising has changed from 30 minutes a day to more than 30 minutes a day at the 1% level of significance.

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The domain of a function is the set of all possible inputs for the function.

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of the function.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

Hence, the domain of a function is the set of all possible inputs for the function.

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