in 4-7, use what you know about the sum of angles in a triangle to set up ans solve an equation to find the value of x. Then, find the measure of each missing angle

Answer: To calculate the decrease in value of Samir's digger after 10000 hours, we need to determine its value at the end of each year, taking into account the yearly depreciation of 18%.

Here's the calculation for the first year:

Value at the end of Year 1 = £35950 - (£35950 * 18%) = £29576

And for the second year:

Value at the end of Year 2 = £29576 - (£29576 * 18%) = £24480.48

And so on, until we reach 10000 hours. To determine the exact value after 10000 hours, we would need to perform the calculation for each year until we reach the total number of hours used. However, this calculation would involve multiple steps and can become quite complex. A simpler way to estimate the decrease in value would be to use the concept of present value.

Answer:

1a. The null hypothesis in this setting would mean that the proportion of students who completed their math homework is equal to or greater than 75%.

1b. The p-value represents the probability of observing a sample proportion as extreme as or more extreme than the sample proportion observed (68%), given that the null hypothesis is true. In this case, the p-value of 0.1265 indicates that there is a 12.65% chance of observing a sample proportion as extreme or more extreme than 68%, assuming the true proportion is equal to or greater than 75%.

1c. At the alpha = 0.05 significance level, we reject the null hypothesis if the p-value is less than 0.05. In this case, the p-value of 0.1265 is greater than 0.05, meaning we fail to reject the null hypothesis. Therefore, at the alpha = 0.05 significance level, we cannot conclude that less than 75% of students completed their math homework.

In a sequence diagram, the vertical line labeled 'a' represents the amount of time during which an object is active and can interact with the other objects in the use case. This can include sending messages, waiting for a response, or any other type of interaction.

In a sequence diagram, the vertical line labeled 'a' is used to represent the amount of time during which an object is active and capable of interacting with the other objects in the use case. This time frame is usually shown as a timeline to give the viewer an idea of how long the object is active. The time ‘a’ could include any kind of interaction between the objects, such as sending messages, waiting for a response, or any other type of interaction. The ‘a’ time frame also indicates when an object is no longer interacting with the other objects in the use case. This timeline can be used to identify points where a user or system may need to wait for a response or where a user or system is no longer able to interact with the other objects in the use case. In essence, the ‘a’ timeline helps to demonstrate how long the use case is active, how long an object is interacting with other objects in the use case, and when the use case has ended.

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Answer:

A and E

Step-by-step explanation:

Ratio of A=20/30=2/3

Ratio of B=28/50=14/25

Ratio of C=35/50=7/10

Ratio of D=14/26=7/13

Ratio of E=32/48=2/3

therefore A and E are similar shapes

Answer:

m=3

Step-by-step explanation:

slope of the line is 3

mark me the brainliest

The average rate of change for the first period is 3.33 cases per year, for the second period is 1 case per year, and for the third period is 40 cases per year.

To calculate this, the key is to determine the change in the annual rate and divided it by the number of years:

2009- 2011 =

9 - 19 = 10 / 3 = 3.33 cases per year

2011-2012=

19 - 17 = 2/ 2 = 1 case per year

2012-2016=

17 - 177 = 160 / 4 = 40 cases per year

Notice that the second period shows a decrease, while the first and second ones show an increase.

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Answer:

Step-by-step explanation:

Answer: $18 000

Step-by-step explanation:

40 bottles per box

40*15 = 600 bottles total

600 * $30 = $18 000

She made $18 000 in total.

Amount of money she receives from sale of 15 boxes of perfume in all is $18,000.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Given that,

Number of bottles of perfume packed in a box = 40

Cost for each perfume = $30

Cost for 40 perfumes = 40 × $30 = $1200

So cost for a box of perfume = $1200

Cost for 15 boxes of perfume = 15 × $1200

                                                 = $18,000

Hence the amount for 15 boxes of perfume is $18,000.

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Step-by-step explanation:

The formula "I=PRT" is the simple interest formula, where:

I = interest

P = principle (the initial amount of money)

R = interest rate (as a decimal)

T = time (in years)

Given the values of P, R, and T:

P = 5,600

R = 0.2

T = 4

We can plug these values into the formula to find the interest:

I = P * R * T = 5,600 * 0.2 * 4 = 4,480

So, the interest earned on a principle of $5,600 at an interest rate of 0.2 (or 20%) for 4 years would be $4,480.

Answer:

C-intercept(s): (0,0)

t-intercept(s): (0,0), (6,0), (-4,0)

Step-by-step explanation:

the C-intercept is essentially the y intercept. this occurs when t=0:

C(0) = 4(0)^4 - 8(0)^3 - 96(0)^2 = 0. so the C-intercept is at (0,0).

the t-intercept is the x-intercept, and occurs when C(t) = 0:

4t^4 - 8t^3 - 96t^2 = 0 = [tex]4t^{2} (t-6)(t+4)[/tex]. C(t) = 0 when t = 0, t= 6, and t = -4.

Answer:

19

Step-by-step explanation:

top = bottom so 4x-4y = 3x+5y so x = 9y

left = right so 2-2y = x-3y so x= y+2

so 9y = y+2

8y = 2

y= 0.25

x=2.25

so just add them all up

2*(4x-4y) + 2*(2-2y )

= 8*(x-y)+4*(1-y)

=16+4*0.75

=19

The actual food is 115% of the budgeted food.

The percentage is defined as a ratio expressed as a fraction of 100.

The data is given in the question, as follows:

Budgeted: 200

Actual: 230

To determine the percentage of the budgeted food that is the actual food, we can divide the actual amount by the budgeted amount and multiply by 100.

Percentage = (Actual / Budgeted) * 100

Percentage = (230 / 200) x 100

Percentage = 1.15 x 100

Apply the multiplication operation, and we get

Percentage = 115%

So, the actual food is 115% of the budgeted food.

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Business acumen, often referred to as business savviness, business sense, and business knowledge, is the keenness and rapidity with which one perceives and responds to a business issue in a way that is most likely to produce a favorable result.

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Answer:

Adam=$11000, Krissy=$14000

Step-by-step explanation:

Adam gets 3000 less

Adam=(25000-3000)÷2=11000

Krissy=11000+3000=14000

Answer:

2(x+12)

Step-by-step explanation:

Internet

The explicit rule for the g(x) is g(x) = 54000 + 6000x

The definition of the function is given as

Initial = 60000

And the table of values

The definitions from the table imply that we simply add 6000 to the previous term to get the current term

This means that

Common difference, d = 6000

The sequence is then represented as

f(x) = a + (x - 1)d

So, we have

f(x) = 60000 + (x - 1) * 6000

Evaluate

f(x) = 54000 + 6000x

Hence, the equation is f(x) = 54000 + 6000x

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Answer: The Cartesian form of a complex number is the expression of the number in the form of x + yi, where x and y are real numbers and i is the imaginary unit.

The Cartesian form of (5i - 3) is 0 + (5i - 3).

Step-by-step explanation:

Answer:

Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:

1.5 - 0.85 - (10 * g) = 0

Solving for g:

g = (1.5 - 0.85) / 10 = 0.065 cm/day

So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.

The tomato plant will grow 0.165 cm per day.

Solution:

Given,

Height of bean plant = 1.5 cm

Height of tomato plant = 0.85 cm

The growth rate of bean plant = 0.1 cm/ day

The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm

So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm

Since, the tomato plant will grow steadily,

Hence, 1.65/ 10 = 0.165

Therefore, the tomato plant will grow at a rate of 0.165 cm per day

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Since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.

In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.

From the previous problem, the total distance covered by the rabbit is given by:

Total distance = 4 units + 2 units + 1 unit

Total distance = 7 units.

Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:

Total distance = 10 units + 7 units

Total distance = 17 units.

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50 meters in feet is 164.042 feet

In order to convert meters to feet we would have to cross multiply

That is. one meter is given as 3.28084 feet

We are to convert 50 meters to feet, hence we would have:

If 1 meter = 3.28084

50 meters = ?

When we cross multiply, we would have

? = 3.28084 * 50 meters

? = 164.042

Hence the amount of 50 meters in feet is given as 164.042 feet

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Answer:

171=9R

Hope this helped! :)

Answer:Rx9=171

Step-by-step explanation:

Answer:

Abdiel's total would be $23.22, which is the answer choice C.

Step-by-step explanation:

The total cost of Abdiel's order would be calculated as follows:

Calculate the tip before the discount: $21.50 x 20% = $4.30

Add the tip to the subtotal: $21.50 + $4.30 = $25.80

Calculate the discount: $25.80 x 10% = $2.58

Subtract the discount from the total cost: $25.80 - $2.58 = $23.22

So, Abdiel's total would be $23.22, which is the answer choice C.

The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.

The volume of a sphere is expressed as;

V = 4/3 × π × r³

Where r is radius and constant pi π = 3.14.

Given the data in the question;

To find the volume of the sphere, plug the given value into the above formula and simplify.

V = 4/3 × π × r³

V = 4/3 × 3.14 × ( 5 yd )³

V = 4/3 × 3.14 × 125 yd³

V = 523.3 yd³

Therefore, the volume of the sphere is 523.3 yd³.

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Answer:

x=90° (given)

54°+90°+z=180°

144°+z=180°

z=180°-144°

z=30°

Answer:

6.3 miles

Step-by-step explanation:

We are given 11088 yards.

Use the conversion factor 1 mile equals 1,760 yards.

11088 yards * 1 mile/ 1,760 yards

11088 / 1760 miles

6.3 miles

The required equation of the quadratic function in standard form is:  
f(x) = (1/4) x² + 6.

A parabola is a cross-section cut out of the cone and represented by an equation f(x) = a(x - h)² + k.

The standard form of a quadratic function is given by:

f(x) = a(x - h)² + k

where (h, k) is the vertex of the parabola.

Given the vertex (0, 6) and the point (2, 7), we can find the values of a and k and use them to write the equation in standard form.

Let's use the vertex form of the equation:

f(x) = a(x - h)² + k

Since the vertex is (0, 6), we have h = 0 and k = 6:

f(x) = a(x - 0)² + 6

f(x) = a × x² + 6

Next, we use the point (2, 7) to find the value of a:

f(2) = a × 2² + 6

7 = 4a + 6

7 - 6 = 4a

1 = 4a

a = 1/4

So, the equation of the quadratic function in standard form is:  
f(x) = (1/4) x² + 6

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The woman weighing 123 pound can take 1005.9 mg of medicine

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

If a 123 pound man can have 1213 mg of a medicine in a day. Hence:

Unit rate = 1213 mg / 123 pound = (1213/123) mg per pound

For a 102 pound:

Amount of medicine = (1213/123) mg per pound * 102 pound = 1005.9 mg

The woman can take 1005.9 mg of medicine

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