Explanation:
The formula of the slope of a line that passes through points (x1, y1) and (x2, y2) is:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]For this problem the slope is:
[tex]m=\frac{-4-(-4)}{5-(-1)}=\frac{-4+4}{5+1}=\frac{0}{6}=0[/tex]A slope of zero indicates that the line is horizontal. Therefore it is a constant.
The slope-intercept form of the equation of a line is:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept. In this case, the slope is zero so we just have:
[tex]y=b[/tex]b is the y-coordinate of the given points: b = -4
Answer:
y = -4
Question 1
A student went to the gas station to buy gasoline and a bag of potato chips. Gasoline was $2.31 per
gallon and potato chips were $1.25.
Part 1. Write a linear equation to model the total amount the student spent at the gas station,
where g represents the number of gallons of gasoline, and t represents the total amount of money
spent. Assume there is no tax.
Part 2. Suppose the student bought 16 gallons of gas. Find the total amount the student spent at
the gas station
Part 1. The linear equation is 2.31g + 1.25t = 0
Part 2. Total amount student spent at the gas station is $36.96
What is linear equation?
An equation between two variables that, when plotted on a graph, produces a straight line or say first degree equation is known as linear equation.
Part 1.
Here in question of part 1 it stated that
g = the number of gallons of gasoline
t = the total amount of money
So according to question, the linear equation will be
2.31g + 1.25t = 0
Part 2.
Given, 1g = $2.31
then, 16g = 16 * 2.31
= $36.96
Therefore, for Part 1. The linear equation is 2.31g + 1.25t = 0 and,
for part 2. Total amount student spent at the gas station is $36.96
To read more about the Linear equation
https://brainly.in/question/24318520
#SPJ9
Square meters of ceiling | Number of tiles 1 | 10.75 10 | X what is the value of X?
We can find the number of tiles, using the next proportion:
[tex]\frac{1\text{ square meter}}{10\text{ }square\text{ meters}}=\frac{10.75\text{ tiles}}{x\text{ tiles}}[/tex]Solving for x:
[tex]\begin{gathered} 1\cdot x=10.75\cdot10 \\ x=107.5\text{ tiles} \end{gathered}[/tex]Jim earns $44,700 annually and pays 11 1/4 % for state and local taxes.How much tax does he pay annually?a. $39,671.25b. $49,728.75c. $5,028.75d. $5,014.31
The percentage paid as tax annually is 11 1/4 %. We would convert this perentage to decimal. It becomes 11.25%
Recall, percentage is expressed in terms of 100. If Jim earns $44,700 annually, then the amount of tax that he pays annually is
11.25/100 x 44700
= 5028.75
The correct option is C
Joe owes John 16$ he tells
his four kids to pay off the dept.
How much will each kid
pay off?
Answer: $4
Step-by-step explanation:
First, why are you making yo kids pay yo debt?
Second 16/4=4
EM bisects ZDEF and mZDEF = 83.6°. Find mZDEM and mZMEF. mZDEM mZMEF
Answer:
[tex]\begin{gathered} m\angle DEM=41.8^{\circ} \\ m\angle MEF=41.8^{\circ} \end{gathered}[/tex]Explanation:
See the below image;
From the above image, we can see that line EM is the bisector of angle DEF and we know that an angle bisector always splits an angle into two equal angles.
Given m[tex]\begin{gathered} m\angle DEM=\frac{83.6}{2}=41.8^{\circ} \\ m\angle MEF=\frac{83.6}{2}=41.8^{\circ} \end{gathered}[/tex]
How do I find the missing angles marked by letters in this parallelogram
In a parallelogram,
i) Opposite angles are equal i.e
[tex]\begin{gathered} d=f \\ e=110^0^{} \end{gathered}[/tex]ii) Consecutive angles are supplementary i.e
[tex]110^0+f=180^0\text{ (Consecutive angles of a parallelogram are equal)}[/tex]To find f, collect like terms
[tex]\begin{gathered} 110^0+f=180^0 \\ f=180^0-110^0=70^0 \\ f=70^0 \end{gathered}[/tex]Since, d = f,
Thus,
[tex]\begin{gathered} d=f=70^0 \\ d=70^0 \end{gathered}[/tex]Hence, the missing angles are d = f = 70° and e = 110°
Give a Θ estimate of the number of addition operations that the following algorithm will execute: i←1 t←0 while (i≤n) t←t+i i←i+
The estimate of the number of addition operations that the algorithm will execute is:
Θ(2n).
What is the complexity of the given algorithm?The complexity of the given algorithm is an estimate of the number of operations that the algorithm will execute.
For an algorithm bounded by a loop such as this one, due to the command while (i≤n), the length of the loop is bound of the complexity of the algorithm, hence we can begin the complexity equation as follows:
Θ(n).
Inside the loop, for each iteration of the loop, that is, each value of i, two addition operations are made, adding i to t and incrementing the count control variable i by 1.
Due to the two addition operations inside on each iteration of the loop, 2 is multiplied inside the complexity, hence the estimate of the number of addition operations that the algorithm will execute is:
Θ(2n).
More can be learned about complexity of algorithms at https://brainly.com/question/15363449
#SPJ1
Hello! I'm stuck here. I've tried solving it and I'm not getting any of the answers.
We have the cost function C(d) and the revenue function R(d) as:
[tex]C(d)=10500+3.9d[/tex][tex]\begin{gathered} R(d)=d(14.5-0.00003d) \\ R(d)=14.5d-0.00003d^2 \end{gathered}[/tex]The profit can be defined as the difference between the revenue and the cost, so we can express it as:
[tex]\begin{gathered} P(d)=R(d)-C(d) \\ P(d)=(14.5d-0.00003d^2)-(10500+3.9d) \\ P(d)=-0.00003d^2+14.5d-3.9d-10500 \\ P(d)=-0.00003d+10.6d-10500 \end{gathered}[/tex]We can now evaluate it for d = 30,000 as:
[tex]\begin{gathered} P=-0.00003\cdot(30,000)^2+10.6(30,000)-10,500 \\ P=-0.00003\cdot900,000,000+318,000-10,500 \\ P=-27,000+318,000-10,500 \\ P=280,500 \end{gathered}[/tex]Answer: the profit for 30,000 units is $280,500 [Fourth option].
I need help with this practice problem solving I will send two additional pictures that go with this, one is the rest of the question and the other is the answer options
Given:
[tex]\frac{\sec x\sin x}{\tan x+\cot x}=\sin^2x[/tex]Find-: Prove the trigonometric identity.
Sol:
Use some trigonometric formula:
[tex]\begin{gathered} \sec x=\frac{1}{\cos x} \\ \\ \tan x=\frac{\sin x}{\cos x} \\ \\ \cot x=\frac{\cos x}{\sin x} \end{gathered}[/tex]So,
[tex]\begin{gathered} \frac{\sec x\sin x}{\tan x+\cot x}=\sin^2x \\ \\ \frac{\frac{1}{\cos x}\cdot\sin x}{\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}}.................\text{ First option } \end{gathered}[/tex]Then,
[tex]=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2x}{\sin x\cos x}+\frac{\cos^2x}{\sin x\cos}}................................(\text{ Second option\rparen}[/tex][tex]=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2x+\cos^2x}{\sin x\cos x}}...........................(\text{ Third option\rparen}[/tex]Solve the identity then,
[tex]=\frac{\frac{\sin x}{\cos x}}{\frac{1}{\sin x\cos x}}..................(\text{ Fourth option\rparen}[/tex]Here, use the formula:
[tex]\sin^2x+\cos^2x=1[/tex]Then,
[tex]\begin{gathered} =\frac{\sin x}{\cos x}\sin x\cos x..........(\text{ Fifth option\rparen} \\ \\ =\sin^2x \end{gathered}[/tex]Companies also gather data on customer web use and preferences often without
their consent.
True
False
This is true, Companies also gather data on customer web use and preferences often without their consent.
What is data?
A set of discrete values called data is a collection of information that can describe amount, quality, fact, statistics, or just a series of symbols that can be further understood. A datum is a distinct state inside a collection of data. Typically, data is arranged into structures like tables that provide it additional context and meaning and can also be used as their own form of data in bigger structures. It's possible to use data as variables in a computation. Data can reflect both actual measures and abstract concepts. Data is employed often in practically every aspect of human organizational activity, including business and science. Stock prices, crime rates, unemployment rates, literacy rates, and census statistics are a few examples of data sets.
Companies sometimes gather data on customer web usage and preferences often without their consent. The main reason behind this dat collection is to suggest the best product or to show best advertisement based on the web usage and preferences.
To know more about web, go t link
https://brainly.com/question/26711803
#SPJ13
Suppose that the function g is defined, for all real numbers, as follows.
Find g (-2), g (1), and g (4).
The values of the functions, when g is defined for all real numbers is as follows:
g(-2) = -3
g(1) = 3
g(4) = 0
Given, the function g is defined for all real numbers.
g(x) = { 1x²/4 - 4 if x≠1
3 if x=1 }
g(-2):
here, x = -2
where x ≠ 1
therefore, g(-2) = 1x²/4 - 4
substitute x as -2
g(-2) = 1(-2)²/4 - 4
g(-2) = 4/4 - 4
g(-2) = 1 - 4
g(-2) = -3
g(1):
here, x = 1
where x = 1
therefore, g(1) = 3
g(4):
here, x = 4
where x ≠ 1
therefore, g(4) = 1x²/4 - 4
substitute x as 4
g(4) = 1(4)²/4 - 4
g(-2) = 16/4 - 4
g(-2) = 4 - 4
g(-2) = 0
Hence we get the values of g(-2), g(1) and g(4) as -3,3 and 0 respectively.
Learn more about Functions here:
brainly.com/question/25638609
#SPJ1
Find the average of the following set offractions (do not use decimals).{ 42, 1/8, 44, 5/8, 3/4 }
SOLUTION
The average of the 5 numbers become
[tex]\begin{gathered} \text{Average =}(\frac{42}{1}+\frac{1}{8}+\frac{44}{1}+\frac{5}{8}+\frac{3}{4})\text{ divided by 5} \\ \\ \text{Average = }\frac{336+1+352+5+6}{8}\text{ divided by 5} \\ \\ \text{Average = }\frac{700}{8}\text{ divided by 5} \\ \\ \text{Average =}\frac{700}{8}\times\frac{1}{5} \\ \frac{700}{40} \\ \\ \frac{70}{4} \\ \\ \frac{35}{2} \\ \\ \text{Average = 17}\frac{1}{2} \end{gathered}[/tex]help meeeeeeeeeeeeeeeeeeeeeee
thank you
By evaluating the square root function in x = 0 and x = 25/16 we will get:
f(0) = 0
f(25/16) = 5/4
How to evaluate the function?Here we have the square root function:
f(x) = √x
And we want to evaluate this in x = 0 and x = 25/16.
Evaluating in zero we get the same than you got:
f(0) =√0 = 0
Evaluating in x = 25/16 we will get:
f(25/16) = √(25/16)
Remember that the square root can be distributed under division, so:
√(25/16) = √(25)/√(16)
Now, we know that:
√25 = 5
√16 = 4
Then we can rewrite the quotient as:
√(25)/√(16) = 5/4
so f(25/16) = 5/4.
Learn more about square roots:
https://brainly.com/question/98314
#SPJ1
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed
In Ron's neighborhood, 5 out of every 6 families get a newspaper. Currently, 75 of the families get a newspaper. How many families are in Ron's neighborhood?
To solve this question we use the following ratio
[tex]\frac{No\text{of families that have newspaper}}{\text{Total number of families}}[/tex]No of families with newspaper = 5
No of families in the neighbourhood = 6
If the number of families currently with newspaper = 75 then,
[tex]\frac{5}{6}=\frac{75}{\text{total number of families in the neighbourood}}[/tex]what is 2(9n-1)+7n+6= -60
n = -2.56
Explanation:2(9n-1)+7n+6= -60
The first thing we do is expand the parenthesis:
2× 9n - 2×1 + 7n + 6 = -60
18n -2 + 7n + 6 = -60
collect like terms:
18n + 7n -2 + 6 = -60
25n + 4 = -60
Subtract 4 from both sides:
25n + 4 -4 = -60 - 4
25n + 0 = -64
25n = -64
divide both sides by 25:
25n/25 = -64/25
n = -2.56
The regression equation y= - 0.434x+72.21 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.
What percentage is the best prediction for the percent of people in an audience who will finish watching a documentary that is 27 minutes long? Round your answer to the hundredths place
Using the regression equation we can estimate that 60.49% of people will finish the documentary.
Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a regression model and one or more relationship between the independent variable.
Y is the variable (the variable that is plotted on the Y axis), X is the independent variable (i.e., it is displayed on the X axis), b is the slope of the line, and an is the y-intercept.The equation has the form Y= a + bX.The equation is given as Y= - 0.434X+72.21
At X=27 , the value of Y can be estimated as :
Y = -0.434 × 27 +72.21
or, Y = 60.492
or, Y ≈ 60.49
Therefore 60.49 % is the best prediction of people will watch the documentary completely.
To learn more about regression equation visit:
https://brainly.com/question/14184702
#SPJ1
Write the FOLLOWING algebraic expression in words1/3 a to the 3rd power
From the question we are to express the algebraic expression in words
[tex]\frac{1}{3}a^3[/tex]The algebraic expression can be written as
The product of one-third and the cube of a certain number, a
or
The cube of a certain number, a divided by 3
1/3 (2x - 1) = z for x
We need to solve the equation shown below for x:
[tex]\frac{1}{3}(2x-1)=z[/tex]Using distributive propery, a(b - c) = ab - ac , we can simplify the left hand side:
[tex]\begin{gathered} \frac{1}{3}(2x)-\frac{1}{3}(1)=z \\ \frac{2}{3}x-\frac{1}{3}=z \end{gathered}[/tex]We isolate the term with x and then divide the other side by 2/3 to get x = something...
[tex]\begin{gathered} \frac{2}{3}x-\frac{1}{3}=z \\ \frac{2}{3}x=z+\frac{1}{3} \\ x=\frac{z+\frac{1}{3}}{\frac{2}{3}} \end{gathered}[/tex]To simplify it (reduce), we can divide both terms by (2/3) and simplify. Shown below:
[tex]\begin{gathered} x=\frac{z}{\frac{2}{3}}+\frac{\frac{1}{3}}{\frac{2}{3}} \\ x=z\times\frac{3}{2}+\frac{1}{3}\times\frac{3}{2} \\ x=\frac{3z}{2}+\frac{1}{2} \\ x=\frac{3z+1}{2} \end{gathered}[/tex]The final answer:
[tex]x=\frac{3z+1}{2}[/tex]AC Round your answer to the nearest hundredth. ? a А 3 70 B Show Calculator
We are given a right-angled triangle.
We are asked to find the length of the side AC
Recall from trigonometric ratios,
[tex]\tan \theta=\frac{\text{opposite}}{\text{adjacent}}[/tex]With respect to the angle 70°, the adjacent side is 3 and the opposite side is AC
helpppppppppppppppppp
Answer:
33
Step-by-step explanation:
3! karma :)
An object is traveling at a steady speed of 9 9/10 mi/h. How long will it take the object to travel 2 1/10 miles? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answer:
See below
Step-by-step explanation:
Distance / rate = time
2 1/10 mi / 9 9/10 mi/hr
21/10 / 99/10 = 21/99 hr = 12.73 minutes
ZERO hr if rounded to nearest integer hr
= 13 minutes as nearest integer minutes
exact is 21/99 hr = 7/33 hr
All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.1. Find the smallest dropdown number2. What are the smallest and largest 4-digit dropdown numbers? Please provide working out for a and b. Thanks.
a) 102 is the smallest of the dropdown number
b) 1025 is the smallest dropdown number
c) 9874 is the largest 4-digit dropdown number
Explanation:Given:
All digits in a dropdown number are different and one of its digits is the average of all its digits.
It has at least two digits.
To find:
a) the smallest dropdown number
b) the smallest and largest 4-digit dropdown numbers
a) From the information given, the numbers are at least two digits. This means the smallest of the digits from the dropdown is 2
We can't have 0 as the starting number because it will reduce the digits by 1. The list will start from the smallest to the highest since we are looking for the smallest number.
For two digits: 12, 13, 14, etc
We can only have a 2-digit number whose average is part of digits if the numbers are the same digit.
As a result, we will move to 3 digits.
For 3 dgits: 102, 103, 104, 105, etc
We will check if any of the above will have one of its digits as average
102: 1 + 0 + 2 = 3
Average = 3/3 = 1
One of the digits of this number is the average of the number.
Hence, 102 is the smallest of the dropdown number
b) To get the smallest 4 digit dropdown number, we will list from smallest to highest
For 4 digits: 1023, 1024, 1025, 1026, 1027, ...
We will check if any of the above will have one of its digits as average
1023: 1+0+2+3 = 6
Average = 6/4 = 1.5
1024: 1+0+2+4 = 7
Average = 7/4 = 1.75
1025: 1+0+2+5 = 8
Average = 8/4 = 2
One of the digits of this number is the average of the number.
Hence, 1025 is the smallest dropdown number
To get the largest 4-digit dropdown number, we will list from largest to smallest
For 4 digits: 9876, 9875, 9874, 9873, 9872, etc
We will check if any of the above will have one of its digits as average
9876: 9+8+7+6 = 30
Average = 30/4 = 7.5
9875: 9+8+7+5 = 29
Average = 29/4 = 7.25
9874: 9+8+7+4 = 28
Average = 28/4 = 7
One of the digits of this number is the average of the number.
Hence, 9874 is the largest 4-digit dropdown number
Solve
y (y- 8) = - 15
Answer:
y=5,3
Step-by-step explanation:
Morgan had $1,679 in her savings account. After one year, her balance increases by 26. How much does Morgan have in her account now?
Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How much does Morgan have in her account now?
Remember that
100%+2%=102%=102/100=1.02
so
Multiply the original amount by the factor 1.02
1,679*(1.02)=$1,712.58
answer is
$1,712.58I got 190m but I need someone to check pls
Step 1: Write out the formula for the volume V of a rectangular based pyramid with height h base length l and base width w:
[tex]V=l\cdot w\cdot h[/tex]Step 2: Write out the given values and substitue them into the formula to find the volume:
From the image, we can see that:
[tex]l=12m,w=5m,h=9.5m[/tex]Therefore,
[tex]V=(12)\cdot(5)\cdot(9.5)=570m^3[/tex]Hence the volume of the pyramid is 570m³
Answer:
190 m^3
Step-by-step explanation:
the volume of a pyramid is b * h * 1/3
the base is the bottom
5 * 12
that is 60
60 * the height * 1/3
60 * 9.5 * 1/3
we can first do 60 * 1/3
that is 20
20 * 9.5 = 190
that is the answer
youre correct!
which equation represents the line that passes through the points -3 7 and 9 -1
EXPLANATION
Given ordered pairs: (-3,7) and (9,-1)
(x1,y1) (x2,y2)
The equation that represents the line that passes through the points will be given as:
y = mx + b
First, we need to calculate the slope:
[tex]\text{Slope = }\frac{(y2-y1)}{(x2-x1)}=\frac{(-1-7)}{(9-(-3))}=\frac{(-8)}{(12)}=-\frac{2}{3}[/tex]Now, taking either one pair, we can calculate the value of b in this way:
[tex]7=-\frac{2}{3}(-3)\text{ + b}[/tex][tex]7=\frac{6}{3}+b[/tex]Simplifying:
[tex]7\text{ = }2\text{ + b}[/tex]Clearing b:
[tex]7-2=5=b[/tex]Finally, the equation will be:
[tex]y=-\frac{3}{2}x+5[/tex]
Complete the following using all of the numbers
1, 2, 3, 4, 5, 6
to find the smallest even number
Must be in the format
____ - ____ (3 digit numbers only)
Answer:
Step-by-step explanation:
hdhdhdhdh
Answer:
The answer is
[tex]465 - 321[/tex]
Or;
[tex]456 - 312[/tex]
Other than the spots reserved for drivers with a disability, there are 285 parkingspots for monthly rentals and the rest are for hourly parking. How many spots arethere for hourly parking?
Given:
Total parking =1327
NO of spots for reserved for disabilities:
[tex]=12\times6[/tex][tex]=72[/tex][tex]No\text{ of spots for hourly parking=}1327-72-285[/tex][tex]No\text{ of spots for hourly parking=}970[/tex]21 cookies are shared equally among 3 girls. How many
cookies does each girl receive?
Answer:7
Step-by-step explanation: you divide the amount of cookies by the amount of girls
21/3=7
