The measure of the largest scale of a triangle is 40o more than the measure of the smallest angle, and the measure of the remaining angle is 20o more than the measure of the smallest angle. Find the measure of each angle.

Answer:

she babby sat atleast 4 hours last week

The possible domain of the convergence are b. (-1,3) and c. (-1,3]

Domain of convergence.

In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.

Given,

Here we need to identify in which of the options are domain of convergence.

As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).

So, the possible convergence in the given options are (b) and (c).

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

Answer:

215.75

Step-by-step explanation:

.       .

 ----

Step-by-step explanation:

so, that means

(-6x² + 6x) - (5x² - 9x - 10) = -6x² + 6x - 5x² + 9x + 10 =

= -11x² + 15x + 10

Answer:

b) q

c) 7a

d) 2y

Step-by-step explanation:

b) q must be added to p to get p+q

c) 12a-7a = 5a

d) 2y is subtracted from 3x

Answer:

1. q because p+n=p+q, meaning that q would be the answer

2. 7a because is you subtract by 7a from 12a, you get 5a

3. 2y because 3x-n=3x-2y, in which n=2y, which satisfies the equation 3x-2y

Step-by-step explanation:

Answer:

\(625 \: {in}^{3} \)

Step-by-step explanation:

This figure is formed from a cube and a rectangular prism

First, we can find the volume of the cube:

(l (side length) = 5 in)

\(v(cube) = {l}^{3 } = {5}^{3} = 125 \: {in}^{3} \)

Now, let's find the volume of the rectangular prism:

(h = 5 in; a (base area) = 20 × 5 = 100 in^2)

\(v(prism) = a(base) \times h\)

\(v(prism) = 100 \times 5 = 500 \: {in}^{3} \)

In order to find the total volume of this figure, we have to add these two volumes together:

\(v(total) = v(cube) + v(prism)\)

\(v(total) = 125 + 500 = 625 \: {in}^{3} \)

Answer:

\((x-2)^2+(y-1)^2=212\\\)

or

\(x^2 - 4 x + y^2 - 2 y - 207 = 0\)

Step-by-step explanation:

Method 1:

For finding the radius:

The distance between points \((x_{1} ,y_{1})\)and \((x_{2} ,y_{2})\) is:

\(\sqrt{(x_{1} -y_{1})^{2}+(x_{2} -y_{2})^{2}}\)

Substitute \((x_{1} ,y_{1})\) = (-2, 15) and \((x_{2} ,y_{2})\) = (6, -13):

\(=\sqrt{((-2-6)^2+(-(-13)+15)^2}\)

 \(=4\sqrt{53}\)

Which is the diameter

The radius:

\(4\sqrt{53} /2\\=2\sqrt{53}\)

The centre:

The midpoint of two endpoints:

\(x=(-2+6)/2=2\\y=(15-13)/2=1\\\)

Center is (2,1)

The standard form:

Circle with radius r and centre (a,b) is \((x-a)^2 + (y-b)^2 = r^2\)

\((x-2)^2+(y-1)^2=(2\sqrt{53})^2\\ (x-2)^2+(y-1)^2=212\\\)

Expanding to get the general form:

\(x^2 - 4 x + y^2 - 2 y - 207 = 0\)

Method 2:

Let the locus \(P(x,y)\) be the circle:

By angle in a semi-circle, The angle inscribed in a semicircle is always a right angle (90°).

This means line joining from one endpoint of diameter is perpendicular to the line joining from another endpoint, two lines always have the product of slope = -1:

\((\frac{y-15}{x+2} )(\frac{y+13}{x-6})=-1\\ (y-15)(y+13)=-(x+2)(x-6)\\x^2+y^2-4x-2y-207=0\)

Answer:

Step-by-step explanation:

Target income = at least $70 daily  

So the system as per above parameters:

Correct option is D

The confidence level for the true average strain is (24.69,27.31) and the prediction level is (20.01,31.99) and also it is estimated that prediction level is much wider than the confidence level

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

a)

We must calculate the true average strain in a way that conveys precision and reliability.

We have to use t-test in our problem because sample size is less than 30.

We Know that,

True average value is determined by formula,

\(\mu\pm t*\frac{S}{\sqrt{n}}\)

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

t-value at 95% confidence interval=1.7281

\(26\pm 1.728*\frac{3.4}{\sqrt{20}}\\\\=26\pm1.728*0.7606\\\\=26\pm1.31\\\\=24.69,\ 27.31\)

b)

predicted value can be calculated by formula,

\(\mu \pm t*S\sqrt{1+\frac{1}{n}}\\\\=26\pm 1.728*3.4\sqrt{1+\frac{1}{20}}\\\\=26\pm 1.728*3.4*1.02\\\\=26\pm5.99\\\\=20.01,\ 31.99\)

As a result, we conclude that the prediction interval is greater than the confidence interval.

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The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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a) The expected May rainfall is 5.0 inches.

b) The probability of May rainfall falling within one standard deviation of the mean is 0.6827, and within two standard deviations is 0.9545.

(a) To calculate the expected May rainfall, we need to find the mean (μx) of the uniform distribution. The mean of a uniform distribution can be found using the formula:

μx = (a + b) / 2

where a and b are the lower and upper limits of the distribution, respectively. In this case, a = 2 and b = 8. So,
μx = (2 + 8) / 2
μx = 10 / 2
μx = 5

(b) To find the probability that the observed May rainfall will fall within one and two standard deviations of the mean, we first need to calculate the standard deviation (σx) of the uniform distribution. The formula for the standard deviation of a uniform distribution is:

\(σx = √((b - a)^2 / 12)\)

Using the values of a and b from before, we have:

\(σx = √((8 - 2)^2 / 12)\)
σx = √(36 / 12)
σx = √3

For a uniform distribution, the probabilities of falling within one and two standard deviations of the mean are as follows:

- Within one standard deviation (±1σx): 68.27% or 0.6827
- Within two standard deviations (±2σx): 95.45% or 0.9545

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The sum of the first 20 terms of the Arithmetic sequence is 1490

The first is 27

The common difference is 5

n= 20

The first 20 terms can be calculated as follows

Sn= n/2[2a+(n-1) d]

S20= 20/2(2×27 + (20-1) 5

S20= 10(54 + 95)

S20= 10(149)

S20= 1,490

Hence the sum of the first 20 terms is 1490

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Answer:

r=8, r=9, r=10

Step-by-step explanation:

5(7)≤6(7)-8

35≤42-8

35≤34

not true.

5(8)≤6(8)-8

40≤48-8

40≤40

true.

5(9)≤6(9)-8

45≤54-8

45≤46

true.

5(10)≤6(10)-8

50≤60-8

50≤52

true.

have a great day!

Answer:

B

Step-by-step explanation:

range = biggest - smallest

121 - 83 = 38

range = 38

the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.

To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.

Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

Step-by-step explanation:

The rearguard bottle holds 75% less than the regular bottle of sunscreen, which means it holds only 25% of the regular bottle's volume.

To find out how many fluid ounces the rearguard bottle holds, we can multiply 12 fl oz (the regular bottle's volume) by 0.25:

12 fl oz x 0.25 = 3 fl oz

So the rearguard bottle holds only 3 fluid ounces of sunscreen.

To find out how many fewer fluid ounces the regular bottle holds compared to the rearguard bottle, we can subtract the rearguard bottle's volume from the regular bottle's volume:

12 fl oz - 3 fl oz = 9 fl oz

Therefore, the regular bottle of sunscreen holds 9 fewer fluid ounces than the rearguard bottle.

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Answer:

Numbers 1,0,8,2 would lie on y-axis.

Step-by-step explanation:

This is because for example, (0,1)

we must prefer 0 as x-axis and 1 as y-axis. That's means left number or side will always be x-axis and right side will always be y-axis.

Answer: (0, 1)

Step-by-step explanation:

When the x is 0 is lies on the y axis.

Answer:

the answer is b

Step-by-step explanation:

Answer:

1.D:f(x)= 6x-2

2.A:h(x)= -5/4x+43/4

3.D:f(x)= 3x-14

4.D: 153 miles

5.C: The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).

Step-by-step explanation:

I took the quiz so I know that these are right.

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

Answer:

$40.53

Step-by-step explanation:

10% of 405.34 = 0.1 × 405.34 = 40.534

Answer:

$84.00

Step-by-step explanation:

$80.00 x .05 = $4.00

$80.00 + $4.00 = $84.00

Answer:

the cost is $84.00

Step-by-step explanation:

you take 80.00 x 5% tax that gives you $4.00 so the total is $84.00

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6

Get a common denominator of 6

1/3 *2/2  + 1/6

2/6 + 1/6

3/6

Simplify the fraction

1/2

Answer:

\(yasmin \: = \frac{1}{3} \\ alex = \frac{1}{6} \\ yasmin \: = \frac{1}{3} \times \frac{2}{2} = \frac{2}{6} \\ they \: togather \: eat \: \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2} \\ c \: ic \: your \: answer \\ thank \: you\)

Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation: