Answer:
Solve the inequality for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
All real numbers
Interval Notation:
(
−
∞
,
∞
)
Step-by-step explanation:
what is 6+6×8-5÷3+12
we have
6+6×8-5÷3+12
so
Applying PEMDAS
P ----> Parentheses first
E -----> Exponents (Powers and Square Roots, etc.)
MD ----> Multiplication and Division (left-to-right)
AS ----> Addition and Subtraction (left-to-right)
step 1
Multiplication
6x8=48
substitute
6+48-5÷3+12
step 2
Division
5÷3=5/3
substitute
6+48-(5/3)+12
step 3
Addition
6+48=54
54-5/3+12
step 4
S
Answer:
64.33 is the answer.
The temperature increased 3 degrees per hour for 10 hours. How many degrees did it
rise after 10 hours?
Answer:
Unless there is more information to this question, 3 degrees per hour, for 10 hours, after the 10th hour it will have risen 3*10 degrees, so 30 degrees
Answer:
30
Step-by-step explanation:
You can do 3×10 directly, or you can solve it like this to avoid error
Hour Degree
1 +3
2 +6
3 +9
4 +12
5 +15
6 +18
7 +21
8 +24
9 +27
10 +30
Brainliest please
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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Consider the following. Use the Vertical Line Test to determine whether y is a function of x. Solve for y to describe how you can use a graphing utility to produce the given graph.
Answer:
\(\begin{gathered} a)\text{ y is not function of x} \\ b)\text{ y = }\pm\sqrt{(x-4)} \end{gathered}\)Explanation:
a) Here, we want to use the vertical line test to check if y is a function of x
To use the test, we draw a vertical line through any point on the graph. If the vertical line touches two points on the curve, then y is not a function of x
If we draw a vertical line as described, we would see that it touches two points on the curve which indicates that y is not a function of x
b) To solve for y, we proceed with the following steps:
\(\begin{gathered} x\text{ - y}^2\text{ = 4} \\ y^2\text{ = x-4} \\ y\text{ = }\pm\sqrt{(x-4)} \end{gathered}\)Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
What are the big corporations doing with their wealth? One way to answer this question is to examine profits as percentage of assets. A random sample of 50 Fortune 500 companies gave the following information.
Profit as percentage of assets 8.6-12.5 12.6-16.5 16.6-20.5 20.6-24.5 24.6-28.5
Number of companies 13 18 7 5 7
Estimate the sample mean, sample variance, and sample standard deviation for profit as percentage of assets. (Round your answers to three decimal places.)
x
s2
s
The estimated sample mean for profit as a percentage of assets is approximately 17.970, the estimated sample variance is approximately 24.437, and the estimated sample standard deviation is approximately 4.943.
To estimate the sample mean, sample variance, and sample standard deviation for profit as a percentage of assets based on the given information, we can calculate the respective measures using the midpoint of each interval and the number of companies in each interval.
First, let's calculate the midpoint for each interval:
Midpoint of 8.6-12.5:= 10.55
Midpoint of 12.6-16.5: = 14.55
Midpoint of 16.6-20.5: = 18.55
Midpoint of 20.6-24.5: = 22.55
Midpoint of 24.6-28.5: = 26.55
Next, let's calculate the estimated sample mean:
Sample Mean = (Midpoint1 * Frequency1 + Midpoint2 * Frequency2 + Midpoint3 * Frequency3 + Midpoint4 * Frequency4 + Midpoint5 * Frequency5) / (Total Frequency)
Sample Mean = (10.55 * 13 + 14.55 * 18 + 18.55 * 7 + 22.55 * 5 + 26.55 * 7) / 50
Sample Mean ≈ 17.970
To estimate the sample variance, we'll use the formula:
where X is the midpoint, X is the sample mean, and n is the total frequency.
Using this formula, we can calculate the estimated sample variance:
\(\frac{ [(13 * (10.55 - 17.970)^2 + 18 * (14.55 - 17.970)^2 + 7 * (18.55 - 17.970)^2 + 5 * (22.55 - 17.970)^2 + 7 * (26.55 - 17.970)^2)}{ (50 - 1)}\)
Sample Variance ≈ 24.437
Finally, we can estimate the sample standard deviation by taking the square root of the sample variance:
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation ≈ √24.437 ≈ 4.943
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Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
Group of answer choices
182
178
145
264
Step-by-Step Explanation:
n = 45
Therefore, 2 + 4(n - 1)
Putting n = 45, we have
2 + 4(45 - 1)
= 2 + 4 × 44
= 2 + 176
= 178
Answer:
B) 178
Hope it helps.
If you have any query, feel free to ask.
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 165 square feet of kitchen wall and 115 square feet of bathroom wall?
Answer:
25
Step-by-step explanation: just like that
Learning Task No. 1 Randy, Manny and Jan put 3 As, 4 Bs and 5 Cs in the box. They will take turns in getting a letter from the box. They are trying to test the probability of getting their favourite letter.
Randy - A
Manny-B
Jan-C
1. What is the probability of getting each boy's favourite letter? a. Randy b. Manny c. Jan
2. If you are next to Jan to pick up a letter and your favourite letter is A , What is the probability of getting your favourite letter?
3. Who is most unlikely to get his favourite letter.
Answer:
1. A = 3/12
B= 4/12
C = 5/12
2......
3. Randy
Step-by-step explanation:
3+4+5 = 12
therefore there are 12 letters in the box
we can say that there are 3/12 A's in the box and do the same for the remaining letters
question two does not make sense
3. the person who has the lowest fraction in value which is A
Solve Only estimation
Answer:
3a)1680
b)2620
4a)2130
b)13300
c)460
d)7540
Step-by-step explanation:
3a)1500+180
b)2800-170
4a)1800+330
b)7300+6000
c)670-210
d)8000-460
Answer:
a) 1600
b) 2600
c) 2200
d) 13200
e) 500
Step-by-step explanation:
a) 1463 + 179
1400 + 200
1600
b) 2806 - 176
2800 - 200
2600
c) 1831 + 329
1900 + 300
2200
d) 7345 + 5893
7300 + 5900
13200
e) 665 - 213
700 - 200
500
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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What percentage is the shaded area
Answer:
75%
Step-by-step explanation:
There are 4 parts and 3 are shaded
(3 /4)=75%
what is 5x -5?
And Could you explain, im truly lost
its 5x5 but with a negative
Step-by-step explanation:
dog can someone please help
Answer:
-1-5x or C
Step-by-step explanation:
This becasue you need to mutipy the outside to the inside.Hope it helps
Please see the attached
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the mean? Select all that apply.
A) 18, 56, 58, 61, 52
B) 25, 27, 31, 33, 95
C) 38, 37, 33, 41, 36
D) 65, 68, 71, 73, 12
E) 49, 44, 42, 48, 50
The mean should be calculated for data sets A, B, C, and D.
What is the mean?It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.
When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.
The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.
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Find the length and width of the actual room, shown in the scale drawing. Then find the
area of the actual room. Round the final answer, if necessary, to the nearest tenth.
8.5 in.
6 in.
5 in.:6 ft
feet, the width is about
The length is about
about
square feet.
feet, and the area is
Answer:
Just put this in your calculator I've shown you how to do the conversion
A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
PLEASE HELP ME SOMEONE!!!
If I ate three quarter of a pizza, what percentage of the pizza is left?
13➗209 cuánto es? Gracias
Answer: 0.0622009569378
Step-by-step explanation:
i^27 simplified as much as possible
Answer:
-i. If you are using imaginary numbers.
Step-by-step explanation:
Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads
Answer:
The equation that models the relationship between Z and N is N = 56 Z
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept∵ Mark reads 42 pages of a book every \(\frac{3}{4}\) of an hour
→ Find his rate per hour by dividing the number of pages by its time
∴ His rate of reading = 42 ÷ \(\frac{3}{4}\) = 42 × \(\frac{4}{3}\) = 56 pages per hour
∵ His rate = 56 pages/hour
∴ m = 56
∵ Z represents the number of hours Mark reads
→ That means replace x in the form of the equation above with Z
∵ N represents the number of pages of the book he reads
→ That means replace y in the form of the equation above with N
∴ N = 56 Z + b
∵ There is no initial amount of reading
∴ b = 0
∴ N = 56 Z
The equation that models the relationship between Z and N is N = 56 Z
Which of the scenarios below are considered seller-based discounts? options are in the picture
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
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The factored form of 2(pi)r² + 147(pi)r is
Let's factor 2πr² + 14πr
πr(2r + 14)
Select all the expression that have the same value
1: 2^4
2: 2^6
3: 2^8
4: 4^3
5: 8^2
6: 8^8
Answer:
#2, 4, and 5 all have the same value of 64
Step-by-step explanation:
1) 16
3) 256
6) 16,777,216
An account pays 6% simple interest.
In year 1, the amount in the account
is $70. How much is in the account
in year 5? slum
Answer:
A (1 + .06) = 70 after 1 year
A = 70 / 1.06 = 66.04
Apparently 66.04 was originally in the account
A (1 + .06)^4 should be in the account after 4 years
66.04 (1.06)^4 = 83.37
83.37 will be in the account during year 5