Answer:
3/2
Step-by-step explanation:
Slope is change in y over change in x (y2-y1 over x2-x1)
The change in y would be (9) - (3), which is 6.
The change in x would be (5) - (1), which is 4.
6/4 is also 3/2, which is the slope.
Answer:
\(m = \frac{6}{4} = 1 \frac{2}{4} = 1 \frac{1}{2} = 1.5\)
Step-by-step explanation:
Use rise over run. (\(\frac{rise}{run}\))
Your rise value is how much the y has gone up (or down) from one point to the next. \(y_{1} =3\) \(y_{2} = 9\). You can figure out what your rise is by using the equation \(y_{2} -y_{1} = rise\). So, our rise is 6.
Now, solve for your run value. Your run value is how much the x has gone up (or down) from one point to the next. \(x_{1} =1\) \(x_{2} = 5\). You can figure out what your run is by using the equation \(x_{2} -x_{1} = run\). So, our run is 4.
Now that we have our rise and run values, insert them into the fraction \(\frac{rise}{run}\), and simplify. \(\frac{rise = 6}{run = 4} = \frac{6}{4} = 1 \frac{2}{4} = 1 \frac{1}{2} = 1.5\)
Hope this helps. Have a great day!
Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
PLEASE HELP! Mr. Smith makes $20 an hour working full time. He gets about 25% of his income taken out for taxes. He came up with the following monthly budget.
Household:
Rent: $700
Cable: $85
Cell Phone: $175
Electric: $100
Food: $350
Total: 1,410
Automobile
Car: $200
Car Insurance: $100
Gas: $90
Maintenance: $15
Total: $405
How much money does he have left over monthly to put into savings?
Answer:
$585/month
Step-by-step explanation:
To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.
Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:
$20/hour x 40 hours/week = $800/week
To find his monthly income, we multiply his weekly income by the number of weeks in a month:
$800/week x 4 weeks/month = $3,200/month
To find his monthly expenses, we add up the amounts for his household and automobile expenses:
$1,410/month (household) + $405/month (automobile) = $1,815/month
Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:
$3,200/month x 0.25 = $800/month (taxes)
Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:
$3,200/month - $1,815/month - $800/month = $585/month
Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.
Im diying:(
dont be mean man
find three consecutive even integers such that the sum of the smaller and three times the larger Is 84
Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.
What is a word problem?A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"
What are conditions of the problem?In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.
Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:
x + (x+4) * 3 = 84
Expanding and solving for x:
x + 3x + 12 = 84
4x = 72
x = 18
So the three consecutive even integers are 18, 20, and 22.
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Val’s whole house central air conditioner uses 4,000 watts when running Val runs the ac 6 hrs per summer day electricity cost (15cents) (1 kilowatt-hr) how much does Val ac cost to run for a summer month of 30 days
Answer:
Val ac cost \(108000\) dollar for the summer month of 30 days
Step-by-step explanation:
Given
Electricity consumed in a day by running AC is \(4000 * 6\) \(= 24000\) watts-hr
Cost of electricity is \(15\) cents/kilowatt-hr
Cost of electricity consumed in a month
\(24000*30*0.15= 108000\) dollars
Identify the Shapes
What shapes can you obtain by taking a cross
section of a cone?
a circle
an ellipse
a parabola
a hyperbola
If you share seven apples equally with three people, there are 2 1/3 first complete the sentence then briefly explain what a whole number to the denominator of three and the numerator one mean in this problem
The meaning is that "If you share seven apples equally with three people, there are 2 1/3 apples for each person."
How to explain the fraction with a denominator of 3In this context, a "whole number to the denominator of three and the numerator one" refers to the fact that when the seven apples are divided equally among the three people, each person receives a whole number of apples, plus a fraction.
The denominator of the fraction is three because there are three people sharing the apples,
Tthe numerator of the fraction is one because each person receives one of the three equal parts.
The fraction 1/3 represents the amount of the seventh apple that each person receives. So, each person receives 2 whole apples and 1/3 of another apple, for a total of 2 1/3 apples.
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given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =
By the product rule,
\((fg)'=f'g+fg'\)
so that
\((fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22\)
By the quotient rule,
\(\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}\)
so that
\(\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42\)
please help me
thank
Answer:B,C and E
Step-by-step explanation:
Yoo help a girl out!!! During a snowstorm, Robert tracked the amount of snow on the ground.
When the storm began, there was no snow on the ground. For the first 2
hours of the storm, snow fell at a constant rate of 1 inch per hour. The storm
then stopped for 5 hours and then started again at a constant rate of 2 inches
per hour for the next 6 hours. Make a graph showing the inches of snow on
the ground over time using the data that Robert collected.
Answer: Ok, so make a graph on paper. On the vertical line put inches of snow going up by one. Then your horizontal line should be hours. For the first two hours make the line go up steadily by one. Then make your line flat for five hours. Then for another six hours make the line go up by two per hour.
Please mark brainliest.
what is the surface area of this rectangular pyramid
Answer:
Hello! answer: 75
Step-by-step explanation:
5 × 5 = 25 for a square
for a triangle 5 × 5 = 25 25 ÷ 2 = 12.5 12.5 × 4 = 50 25 + 50 = 75 therefore the total area is 75 HOPE THAT HELPS!
The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.
Last night, the theater sold a total of 364 tickets for a total of $1930. How many adult tickets did the theater sell last night?
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold
Write in mathematical notation of limit for 'a' approaches to 10
Answer:
\(\lim_{a\to 10} f(x)\)
Step-by-step explanation:
The following is the standard limit notation.
\(\lim_{x \to number} function\)
where x is the independent variable that the function is dependent on. The function is generally notated by f(x).
For 'a' approaching 10, we can substitute 'a' in for 'x' and 10 in for the number that we are approaching.
Therefore we end up with the following:
\(\lim_{a\to 10} f(x)\)
Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?
Answer:
\(f(x)=x^2(x-a)^2(x-b)^4(x-c)\)
Step-by-step explanation:
There is a double root at \(x=0\), which corresponds to \(x\) raised to an even power.
There are also 2 more double roots and one more single root. This corresponds to two factors raised to an even power and one factoe raised to an odd power.
The only option that satisfies this is Option 1.
The graphical representation of the polynomial function is given by the relation f ( x ) = x² ( x - a )²( x - b )⁴ ( x - c )
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x² ( x - a )²( x - b )⁴ ( x - c )
The factors (x - a), (x - b), and (x - c) indicate that the function has roots at x = a, x = b, and x = c. These roots are of multiplicity 2, 4, and 1 respectively, which means that they are repeated in the factors (x - a)², (x - b)⁴, and (x - c), respectively.
The factor x² indicates that the graph of the function opens upward, since the leading coefficient is positive.
Overall, the graph of this function will have eight "humps" or "bumps" corresponding to its eight roots, and the heights and shapes of these bumps will depend on the values of a, b, and c.
Hence , the graph of the function is plotted
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Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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6. (01.03 MC)
The dotplot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office. Describe the shape of the distribution
SAVES
Answer: Skewed left, no outlier
Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none
Please help thank you so much Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?
Answer:
total length =5+5+10+10+π(10/2)=45.71ft.
Perimeter of semicircle
πr8/2π4π12.56ftNow
Total length
3+5+8+10+10+12.56-836+4.5640.56ftSolve for x in the following equation.
X/5=25
X=?
Answer:
125
Step-by-step explanation:
25 × 5 = 125
x/5 = 25 × 5 = 125
x = 125
*the data set `normtemp` (**usingr**) contains measurements of 130 healthy, randomly selected individuals. the variable `temperature` contains normal body temperature. does the data appear to come from a normal distribution? if so, perform a $t$-test to see if the commonly assumed value of 98.6 degrees fahrenheit is correct. (studies have suggested that 98.2 degrees fahrenheit is more accurate.)*
A 90% confidence interval places the true mean normal body temperature between 98.14269 and 98.35577.
library(UsingR)
attach(normtemp)
print(normtemp)
hist(normtemp$temperature)
shapiro.test(normtemp$temperature)
qqnorm(normtemp$temperature)
qqline(normtemp$temperature)
We can observe that the data follows a normal distribution from the histogram and q plot.
The points in the q plot fall on a straight line and correspond to a normal distribution.
P-value = 0.2332, P>0.05, from the Shapiro test
hence, we fail to reject null htpothesis.
On accepting the null hypothesis we get to know that the data follows normal distribution.
The output for the given code will be ,
data: normtemp$temperature
t = 1527.9, df = 129, p-value < 2.2e-16
alternative hypothesis: true mean ≠0
90 percent confidence interval:
98.14269 98.35577
sample estimates:
mean of x
98.24923
Therefore , we can conclude that ,
The true mean normal body temperature is believed to be between 98.14269 and 98.35577 with a 90% confidence interval.
98.6 is not included in the 90% confidence interval.
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Solve the following system by substitution.
y = - 3x + 11
5x + y = 21
Answer:
x = 5 and y = -4
Step-by-step explanation:
y = - 3x + 11 ______(1)
5x + y = 21______(2)
Substitute (1) into (2).
5x + (-3x + 11) = 21
5x - 3x + 11 = 21
2x = 21-11
2x = 10
x = 10/2
x = 5
Now substitute x = 5 into (1).
y = -3(5) + 11
y = -15 + 11
y = -4
Hence, x = 5 and y = -4
Help meeeeeeeeeeeeeeeeeeee
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
3. The fuel economy of a car, measured in miles per gallon, is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour. What's the fuel economy of the car when it
travels at an average of 20 miles an hour?
O A. 20 miles per gallon
O B. 26.63 miles per gallon
4
O C.-10.02 miles per gallon"
O D. 22.38 miles per gallon
O Mark for review (Will be highlighted on the review page)
Answer:
The Answer Will Be D
Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.
7Mr's sharma spends 17/25 parts of her earning of her children education. how many childrene percent does she spends on her daughter education How many percent does she save.
If Mrs. Sharma spends 17/25 parts of her earnings on her children's education, then she is spending (17/25) x 100 = 68% of her earnings on her children's education.
If the number of children is the same, she spends 68%/number of children on her daughter education.
If she spends 68% of her earnings on her children's education, then she is saving 100 - 68 = 32% of her earnings.
So, she spends 68% on her daughter education and she saves 32% of her earning.
Which is the solution for the system of equations? Y = 2x-3
Y = -x
A. (1, -1)
B. No solution
C. (-1, 1)
D. (-1, -1)
Answer:
(1,-1)
Step-by-step explanation:
\( \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}\)
Since both are y-isolated equation. We can combine both.
\( \large{2x - 3 = - x}\)
Since we want to solve for x-term, we need to isolate x-term.
So we move from -x which is the right side to x.
\( \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}\)
But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))
Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x
\( \large{y = - x} \\ \large{y = - 1}\)
Since we have got y-value. Therefore the answer is (1,-1)
Please type the answers please help
Answer:
Step-by-step explanation:
哇,我喜歡吃很多食物,因為我喜歡並喜歡它。
Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
C and D. You're welcome :)
Step-by-step explanation:
Answer:
i think it is A, B, and D
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
Which equation is a function? Please help
Answer:
B is correct
Step-by-step explanation:
Key skills needed: Functions, Identifying Functions
1) A function has to have y = something
2) The only that has this is B
3) Therefore B is the answer.
Hope you understood and have a nice day!! :D
PLEASE HURRY!!!!II WILL MARK BRAINLEST
Evaluate expression for the given variable
8/t;t = 4
PLEASE HELPPP TYSMM!!!!!!
Answer:
2
Step-by-step explanation:
To evaluate the expression substitute t = 4 into the expression, that is
8/t = 8/4 =2
Answer:8/2=4
Step-by-step explanation:
help me please (I have to write something to send this question)
Answer: -7
Step-by-step explanation: so ann would be at 0. beth lives five AWAY. so -5. and carl lives two blocks from beth
The blocks run west-east, do it goes from right-left. In the number right-left is from negative-zero-positive.
Ann's house is located at 0.
Beth's house is located 5 blocks from Ann, 0 + 5 = 5
Carl's house is located 2 blocks from Beth = 2 + 5 = 7.
Check the attached picture.
There were toy cars,dolls and teddy bears in a shop. 30% of the toys were toy cars. The ratio of the number of dolls to the number of teddy bears were 4:1 . There were 156 more dolls than you cars. After some toy cars were sold, 16% of the remaining toys in the shop was toy cars. How many toy cars were left in the shop?
Answer:
80 toy cars were left in the shop.
Step-by-step explanation:
Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:
Toy cars = 30%
Dolls and teddy bears = 70%
70/5 = 14 x 4 = 56
Dolls = 56%
Teddy bears = 14%
56 - 30 = 26
156/26 = 6 (1%)
Toy cars = 30 x 6 = 180
Dolls = 56 x 6 = 336
Teddy bears = 84
100 - 16 = 84
84 = 336 + 84 = 420
16 = X
84 = 420
16 = X
16 x 420/84 = X
80 = X
Therefore, 80 toy cars were left in the shop.