Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.
He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.
Answer:
Step-by-step explanation:
35(6)x12=224
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
PLEASE help I really have to get this right!
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15
The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72
The mean of the data is 18 and the missing statement is x = 24
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented as A
Now , the value of A = 16 , 10 , 22 , x
Let the mean of the data be M = 18
To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:
(16 + 10 + 22 + x) / 4 = 18
We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:
16 + 10 + 22 + x = 72
Now we can solve for x by subtracting the three known numbers from both sides:
x = 72 - 16 - 10 - 22
x = 24
Therefore, the number that could be put in the blank to make the statement true is 24
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In a right triangle, the length of one leg is 3 cm. The length of the other leg is 2 cm. What is the length of the hypotenuse?
Answer:
A
Step-by-step explanation:
hypotenuse is
a squared+ b squared= c squared
3 squared +2 squared=6 squared
so the actual answer is the square root of 6!
pls mark me as brainliest!!<3
Use the figure and find LN, if LM=6x and MN=2x+12
Answer:
LN
= LM + MN
= 6x + 2x + 12
= 8x + 12
compare and contrast rates and ratios
Answer:
A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.
Step-by-step explanation:
For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.
Create a quadratic equation that would have two real solutions. Then,
explain why it has two real solutions without solving the equation.
Answer:
Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.
Step-by-step explanation:
Explanation:
Graphically, a quadratic equation is a parabola and a linear equation is a straight line.
i hope it helps
Abby wants to buy a new purse for $23.57. She gives the cashier a $20 bill and a $10 bill. How much change does she get back?
Answer:
$ 6.43
Step-by-step explanation:
Answer:
She gets back $6.43 dollars as change
Step-by-step explanation:
If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57
30.00 29.99
- 23.57 - 23.57
------------------
06 .42
Hope this help :)
A caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes. How fast does the caterpillar move in feet per minute?
Given:
A caterpillar moves across the grass at a rate of [tex]4\dfrac{2}{3}[/tex] feet every 7 minutes.
To find:
The rate of moving caterpillar in feet per minute.
Solution:
We have,
Distance covered by caterpillar is 7 minutes = [tex]4\dfrac{2}{3}[/tex] feet
Distance covered by caterpillar is 1 minutes = [tex]\dfrac{4\dfrac{2}{3}}{7}[/tex] feet
= [tex]\dfrac{\dfrac{4(3)+2}{3}}{7}[/tex] feet
= [tex]\dfrac{14}{3\times 7}[/tex] feet
= [tex]\dfrac{2}{3}[/tex] feet
Therefore, caterpillar move [tex]\dfrac{2}{3}[/tex] feet per minute.
Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $2.03 over a period of seven years.
Answer:
7.429 cents
Step-by-step explanation:
Given that:
Price change = $1.51 to $2.03
Period of time = 7 years
Therefore, the annual inflation rate :
Difference in price / number of years
($2.03 - $1.51) / 7
$0.52 / 7
= 0.0742857 per year
= 0.0742857 * 100 (about 7.429 cents per year)
What expression is equivalent to -2x + 7
An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wide. One inch equals 2.54 centimeters. Use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form.
Answer:8: 21
Step-by-step explanation:
Given : An architect builds a model of a park in the shape of a rectangle. The length of the model = 40.64 centimeters
The width of the model = 66.04 centimeters
Since, .
Then ,
Now, the length of the model =
The width of the model =
Sum of length and width = 16+26=42 inches
Now, the ratio of the length to the sum of the length and width in inches :_
Hence, the ratio of the length to the sum of the length and width in inches in simplest form = 8:21
JUAN IS GOD GOD ID JUAN
I need helppp!!!
−50=10s
(-4a^3b^2?)^2 •(3a²b)
Answer:
48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)
Step-by-step explanation:
(-4a^3 b^2)^2 × (3a^2 b)
16a^5 b^4 × 3a^2 b
48a^7 b^5
please help me!!!!!! asap
Answer:
(0,0)
Step-by-step:
Purple paint is made by mixing red and blue paint in the ratio 5:4
What is one share worth if there is 450 ml of the mixture?
(Hint: 5+4=9, then 450/9=...)
Answer:
50ml
Step-by-step explanation:
5 + 4 = 9
450ml/9 = 50ml
one share is 50ml
PL EA S E H E L P M E! !
2+0+3+4+9+6 ?? please
Hey there!
The answer is 24
2+0
2
2+3
5
5+4
9
9+9
18
18+6
24
Have a good day!
P.S. UMMMMMMMMM
What should be done to both sides of the equation in order to solve -5 m = -40?
Multiply by -5.
Multiply by -40.
Divide by -5.
Divide by -40.
Answer:
I know for a fact that it is Devide by nagative 5
Step-by-step explanation:
When you reverse the digits in a certain 2 digit number you decrease its value by 81. What is the number if the sum of its digits is 9?
Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.
Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.
If you need some equations, here is a way to set up a system to solve:
x+y= 9 rewrite to get a value for y to substitute:
y = 9-x
10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)
10x -x + y-10y = 81 combine like terms
9x - 9y = 81
Substitute for y and solve for x
9x - 9(9-x)= 81 distribute.
9x - 81 + 9x = 81
18x = 162. 162/18 = 9
x = 9
Substitute in the original equation to solve for y
9 + y = 9
y = 0
10(9) + 0 = 10(0) + 9 +81
90 - 81 = 09
Pls help I’m bad at math no matter how much I try
Answer: Kiran is correct
Step-by-step explanation: kiran would be correct because if they were to double the length of the rectangle then the corner to corner length would also double. Sure mai is right when she says that the diagonal length is longer then to two side lengths but that doesn't change the fact that it would only double and nothing more.
3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?
Answer:
The first brother is 16, the second brother is 8 and the third brother is 4.
Step-by-step explanation:
Since the sum of all the brothers is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
please help!! I'm very confused
-3w-4=3+3
w=?????????
Answer:
-3.33333
Step-by-step explanation:
-3w - 4 = 3 + 3
Combine like terms
-3w - 4 = 6
Add 4 on both sides
-3w - 4 + 4 = 6 + 4
-3w = 10
Divide by -1 to isolate the variable
-3w/-3 = 10/-3
w = - 3.33333 ( the 3 keeps repeating)
Nicholas has some cans at home to donate to the soup kitchen, but he decides to start a can drive at his school to see if other students will help. The table represents the number of cans donated, y, which is dependent on the number of days cans are collected, x.
A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 955, 1660, 2365.
Find the linear equation that represents the scenario.
Answer:
y = 235x + 15
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.
Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]
Now we use the point-slope equation with the first point (4,955):
y - 955 = 235 ( x - 4 )
Operating:
y - 955 = 235x - 940
y = 235x - 940 + 955
y = 235x + 15
The third point (10,2365) should pass through this line. To verify, substitute:
2365 = 235(10) + 15 = 2350 + 15= 2365
Since the identity is true, the equation is correct:
Answer:
y = 235x + 15
Answer:
A
Step-by-step explanation:
(4n + 14) + (5 + 8n)
Answer:
12n+19
Step-by-step explanation:
(4n + 14) + (5 + 8n)
4n+14+5+8n
12n+19
The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?
Answer:
3672
Step-by-step explanation:
If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles
The car be driven 459 miles on 18 gallons of gas.
What is linear proportionality?A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.
Given,
8 gallons of gas is used to drive 204 miles.
Also, the number of miles driven varies directly with the number of gallons of gas used.
Therefore, (number of miles)/18 = 204/8
number of miles = 18 × (204/8)
= 18 × 25.5
= 459 miles
Hence, the car be driven 459 miles on 18 gallons of gas.
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If y = x + 5 and y = 11, then x = what?
Answer:
6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
y(11)= x + 5
-5 -5
6= x or x = 6
Hope this helps!!
