Given:
The function is:
\(f(x)=\begin{cases}{3\text{ if }x>0} \\ {1\text{ if }x=0} \\ {x\text{ if }x<0}\end{cases}\)Find-:
The graph of a function
Explanation-:
If the x > 0 the f(x) is 3. so graph of function is:
\(f(x)=3\text{ if }x>0\)Domain is { 1, 2}
Graph is:
The function is:
\(f(x)=1\text{ if }x=0\)So, the point of graph is:
The function is:
\(f(x)=x\text{ if }x<0\)The domain is { -2, -1 }
Then the graph of a function is:
Then the overall graph of function is:
The problem is:Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?
Answer:
60mph
Step-by-step explanation:
Answer:
Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?
60 mph
Step-by-step explanation:
Please Help me I really need help
Answer:
2
Step-by-step explanation:
is it true that 19 subtracted by 10 equals 8 correct if not what is the right answer
Answer:
It is not true. 19 - 10 = 9.
:) Hope this helps
Find the value for the side marked below.
Round your answer to the nearest tenth.
50°
122
y
y = [?
Enter
Answer:
y = 189.8
Step-by-step explanation:
Apply trigonometric function to find y.
Reference angle (θ) = 50°
Adjacent side = 122
Hypotenuse = y
Apply CAH, since the Hypotenuse and the Adjacent are involved.
Thus:
Cos θ = Adj/Hypo
Plug in the values
Cos 50° = 122/y
y*Cos 50° = 122
y = 122/cos 50°
y = 189.8 (beater tenth)
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
Select the problems that have an answer that is between 20 and 30.
Jake's class had a goal of collecting 25 cans for a food drive. They collected 116% of their goal. How many cans did they collect?
Ben's Garden Supply Store sells a gardening kit that normally costs $95. This week it is on sale for 35% off. How much does it cost this week?
Of the 120 wax statues in Tara's Wax Museum, 15% are statues of celebrities. How many wax statues of celebrities are in the museum?
Jess has read 75% of the pages in an 88-page book. How many pages of the book does Jess have left to read?
Answer:
The answer are 1 and 4.
1 because its answer will be around 27 to 30.
and
4 because its answer will be 22.
REQUEST
PLEASE MARK ME AS THE BRAINIEST. (^○^)
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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what is -66 2/3 - 24 1/8 + -78 3/4
Answer:
-169.541667
Step-by-step explanation:
Answer:
Step-by-step explanation:
i belive your asnwer would be -257/24 but what are u trying to find?
please find the p-value
The statistical analysis of the data using a two-sample t-test indicates;
(a) B. Yes, the Meters On data appears to have higher speeds
A. No, there does not appear to be any outlier
(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)
H₁; \(\mu_{on}\) > \(\mu_{off}\)
The P-value for the test is about 0.037
What is a two-sample t-test?A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.
(a) The average of the data values are;
Ramp meters on;
\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87
\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4
The higher average value for the speed with the Ramp meters on indicates;
B. Yes, the Meters On data appears to have higher speeds
The five number summary are;
Ramp Meters On
Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47
IQR = 47 - 32 = 15
Outlier = 47 + 1.5 × 15 = 69.5
32 - 1.5 × 15 = 9.5
Therefore, there are no outliers for the Ramp Meters On
Ramp Meters Off
Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40
IQR = 40 - 25 = 15
Outlier = 40 + 1.5 × 15 = 62.5
25 - 1.5 × 15 = 2.5
Therefore, there are no outliers for the Ramp Meters Off data
(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)
The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)
(c) The two sample t-test, can be obtained using the formula;
\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)
Where; \(\bar{x}_1\) = 40.87
\(\bar{x}_2\) = 34.40
s₁ = 9.91
s₂ = 9.20
n₁ = n₂ = 15
Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;
The p-value = 0.037328The p-value is less than 0.05, therefore, the result is significant.
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Mrs. Bankhead is planning a party for her son's 10th birthday. The table represents the
quote she received form Party City.
Number of
Balloons
2
4
6
8
Total Cost of
Balloons
6
12
18
24
7
1 point
The slope is:
2
ООО
6
The formula for slope is (y2 - y1)/ (x2 - x1)
Let's use (2,6) and (4,12)
12 - 6 = 6
4 - 2 = 2
6/2 = 3
The slope is 3.
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
PLEASE HELP ME SOMEONE!!!
If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
convert y=1/2x-5 into integers
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
1
2
y-intercept:
5
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
5
2
6
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
2
y-intercept:
5
x
y
0
5
2
6
image of graph
The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use?
Answer:
30 tsp of sugar
Step-by-step explanation:
If 20 is 2 parts of the 5 parts then 1 part is 10
10x3 =30
30 to 20 = 3 to2
4. Determine the positive and negative co-terminal angle for the given angle:a. 65°b. -125°
Remember that
In order to find a coterminal angle or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible
Part a
we have
65 degrees
so
65+360=425 degrees
65-360=-295 degrees
Part B
we have
-125 degrees
so
-125+360=235 degrees
-125-360=-485 degrees
A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Emilio wants to find 2/3 of 50. explain how emilio could estimate the answer
Answer:
Emilio could estimate the answer by thinkinng of 50 as 100. Then 2/3 of 100 is 66.66666666. Divide this by 2 to get 33.33333333
Step-by-step explanation:
Hopefully this helps! I kind of just thought of what ran through my head so I would say it's an estimate.
Someone please help I don’t understand this at all would really appreciate some help !!!!
The results of the operations of functions evaluated at are listed below:
Addition - (f + g) (- 2) = 9Subtraction - (f - g) (- 2) = 3Multiplication - (f · g) (- 2) = 18Division - (f / g) (- 2) = 2 / 3How to evaluate operations of functions
In this problem we four cases of operations between two functions, a quadratic equation f(x) and a linear equation g(x). There are four operations:
Addition - f (x) + g (x) = (f + g) (x)
Subtraction - f (x) - g(x) = (f - g) (x)
Multiplication - f (x) · g (x) = f · g (x)
Division - f (x) / g (x) = (f / g) (x)
If we know that f(x) = x² - x and g(x) = 3 · x + 9, then the compositions of functions evaluated at x = - 2 are, respectively:
(f + g) (- 2) = (- 2)² - (- 2) + 3 · (- 2) + 9
(f + g) (- 2) = 4 + 2 - 6 + 9
(f + g) (- 2) = 9
(f - g) (- 2) = (- 2)² - (- 2) - 3 · (- 2) - 9
(f - g) (- 2) = 4 + 2 + 6 - 9
(f - g) (- 2) = 3
(f · g) (- 2) = [(- 2)² - (- 2)] · [3 · (- 2) + 9]
(f · g) (- 2) = 6 · 3
(f · g) (- 2) = 18
(f / g) (- 2) = [(- 2)² - 2] / [3 · (- 2) + 9]
(f / g) (- 2) = 2 / 3
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Help please i mark brainliest !!!
Point slope form: y - y1 = m(x - x1)
y1 = y-point
m = slope
x1 = x-point
Using what we wrote above, we can solve the question.
y1 = -2
m = -2/3
x1 = 4
Therefore, the point is (4, -2) and the slope is -2/3
Best of Luck!
Compare and contrast solving multi-step equations with multi-step inequalities. Make sure to list at least two similarities and two differences
- Similarities
In both we need to find the value of x
In both we use the properties of addition, substaction, multiplication and division to find the answer.
- Differences
In equations we use the "=" sign.
In inequalities we use the signs >, <
Equations will have a small number of results (1, 2, 3)
Inequalities have a large amount of results (intervals)
Four identical circles are lined up in a row with no gaps between them such that the diameters for a segment that is 68 centimeters long. What is the combined area of all the circles to the nearest hundredth? Use 3.14 for π.
The combined area of all the circles to the nearest hundredth would be = 14,519.36cm³
How to calculate the combined areas of the given circle?The formula for the area of a circle = πr²
The radius for one circle = 68/2 = 34cm
π = 3.14
The area of one circle = 3.14× 34²
= 3.14× 1156 = 3629.84
Therefore the combined area of the 4 circle = 4× 3629.84 = 14,519.36cm³.
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use the data for each plats growth and compare the
what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
The average price of a 0.5- carat round diamond is $3700 and the average price of a 0.75- carat diamond is $4950. If the weight and the price of the diamond is linearly related, how much will a 2.5 -carat round diamond cost?
Since the problem stated the weight and price are in a linear relationship, we can use y=mx+b.
First, let's calculate our slope.
m = (4950-3700)/(0.75-0.5) = 5000
Now, let's solve for b.
3700 = 5000(0.5) + b
Simplify the right side of the equation.
3700 = 2500 + b
Subtract 2500 from both sides
1200 = b
Now our equation looks like this:
y = 5000x + 1200
Let's plug 2.5 in for x to solve for the diamond cost.
y = 5000(2.5) + 1200
Simplify the right side.
y = 13700
The average price of a 2.5 carat diamond is $13700
The following table shows the bonus earned by Samuel for selling different numbers of shirts:
Samuel's Bonus
Number of Shirts Sold Bonus Earned
9 24
12 32
15 40
18 48
21 ?
M=q+3p solve for q.
Answer:
q = M - 3p
Step-by-step explanation:
M = q+3p
to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.
M-3p = q
Answer:
q=m-3p
Step-by-step explanation:
m=q+3p
-3p. -3p
-3p+m=q
1. The population of a town was 112 in 2014. The population doubles every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.
(b) Estimate the population of the town in 2023.
Show your work.
Answer:
Answer: 2048
Step-by-step explanation: 1. Write the exponential growth model.
The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.
2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048
Therefore, the estimated population of the town in 2023 is 2048.