Step-by-step explanation:Answer:a
Step-by-step explanation:horizonal line test can tell if it is a function or not.if we get more than one value of y for a value of x then it is not a function. In the option (a) we get +2and -2 for x=0
Which is NOT true about a direct proportion? A: Its graph must go through the origin. B:Its graph must be linear. C: Its graph must have a slope of 1. D: I ts graph must have a constant slope. (PLEASE EXPLAIN) thank you!!!! I really appreciate the help!!!!
Answer: c
Step-by-step explanation:
A direct proportion has a formula that is written this way: y=kx
what does that mean ?
There is an image at the end to make you understand .
a direct proportion is a straight line that must go from the origin . why?
simply beacuse it equals 0 in 0 . y=k*0=0 . so the coordinates of that point are (0,0) wich is the origin ! a direct proportion must have a constant slope to make it go straight or it wouldn't be a straight line . i left an image to make it clear a diect proprtion must not have a slope of 1 . it can be 1, 2,100000 or 0.5 its graph must be linearThe table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)
Answer:
(2, -2) are the coordinates of the point which divides BA into ration 2:4.
Step-by-step explanation:
The given two co-ordinates of A are (-2, 6) and B is (4, -6).
Let P be the point that divides the line BA into ratio 2:4.
to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where (x,y) is the co-ordinate of the point P which
divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.
Please refer to the attached image.
As per the given values :
[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]
Putting the given values in above formula :
x-co-ordinate of P:
[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]
y-co-ordinate of P :
[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]
So, answer is P(2, -2).
Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
Can someone help me asap
Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
Check all that apply please!
Answer:
C. Scalene
F. Obtuse
Step-by-step explanation:
The triangle is scalene because all 3 sides are different lengths.
The triangle is obtuse because 1 angle is bigger than 90° (132°).
Answer:
scalene
obtuse
Step-by-step explanation:
All the sides are different length, so it is a scalene triangle
The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse
Eight years ago, twice Manuel's age was 36. What is Manuel's age now? Pls hell
Answer:
Hey there!
Eight years ago, Manuel's age was 36/2, or 18.
Now, his age is 18+8, or 26 years old.
So, he is 26 years old now.
Hope this helps :)
4x³-2x⁴+8x+10x²-4 in standard form
Answer:
-2x⁴+4x³+10x²+8x-4
Step-by-step explanation:
Standard form for a polynomial is from highest power to lowest power
4x³-2x⁴+8x+10x²-4
-2x⁴+4x³+10x²+8x-4
WILL MARK BRAINLIEST ANSWER ASAP
Answer:
1. 1/3 and -6/1,-3/1
2. -4 and -4h+20
3.-6/1 and 2-6/1j
plz mark brainliest
you told you would
Can any one please help me I really need help please help me please help me thank you
Answer:
Step-by-step explanation:
a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x
b)1030000*(0.13*200)=26780000
there are two different power : power and exponent
exponent : 5⋅5⋅5=5^3
power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4
"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x
i hope it helps
If 60% of a number is 90, what is 4/5 of the number?
Answer:
120
Step-by-step explanation:
We can do 90*(100/60) to figure out which number is 90 when it is only 60 percent. This means the original number was 150. Now we just do 150/5 which equals 30. Then we can multiply 30*4 = 120.
Answer:
120
Step-by-step explanation:
60% of a number is 90.
Let the number be x.
60% of x = 90
0.6x = 90
x = 90/0.6
x = 150
The number is 150.
4/5 of 150 =
= 4/5 * 150
= 120
can someone please help me? ASAP
Answer:
A
Step-by-step explanation:
3^5 x 3^4
=3^5 + 4
=3^9
so the answer is option A
Help with math pls...
Answer: Option C
Step-by-step explanation: When we count all bases of the squares present
in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.
The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
[tex]x + y = 26[/tex]
And The sum of their squares is a minimum.
[tex]x^2 + y^2 = h[/tex]
Solving both the equation,
[tex]x + y = 26\\\\x = 26-y[/tex]
Substitute the value of x in equation 2,
[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]
Then, The vertex of the parabola is,
[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
To know more about Parabola click the link given below.
https://brainly.com/question/4074088
factor 49x8−16y14 please answer as quick as possible
Answer:
(4y7+7x4)(−4y7+7x4)
Step by Step:
Factor 49x8−16y14
−16y14+49x8
=(4y7+7x4)(−4y7+7x4)
The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
49x⁸ − 16y¹⁴
As we know the polynomial identity:
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
a² - b² = (a - b)(a + b)
The expression 49x⁸ − 16y¹⁴ can be written as:
= (7x⁴)² − (4y⁷)²
After using the identity: a² - b² = (a - b)(a + b)
= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)
Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
What is the measure of angle N in parallelogram LMNO? *
20
30
40
50
Answer:
∠ N = 40°
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, thus
∠ L = ∠ N , substitute values
3x - 20 = 2x ( subtract 2x from both sides )
x - 20 = 0 ( add 20 to both sides )
x = 20
Thus
∠ N = 2x = 2(20) = 40°
From the given quadrilateral, the value of angle N is 40°
Data;
N = 2xL= 3x - 20Opposite Angles in a ParallelogramOpposite angles in a parallelogram are equal to each other.
[tex]N = L\\2x = 3x - 20\\3x- 2x = 20\\x = 20[/tex]
The value of x is equal to 20.
Let's substitute that into N
[tex]N = 2x \\N = 2(20)\\N = 40^0[/tex]
The value of angle N is 40°
Learn more on parallelogram here;
https://brainly.com/question/24056495
HELP ASAP PLEASE!! BRAINLIEST!!!
Answer:
y = -4x + 11
D is correct
Step-by-step explanation:
Write in slope - intercept form, y = mx + b.
Hope this helps :)
Answer:
D, y=-4x+11
Step-by-step explanation:
To find the correct one, you first need to make sure you know the slope, you do this by using this formula
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
-9-19/5--2 you get
-28/7 which simplifies to
-4
We now know the slope is -4 so it has to be A, C or D
To find the y-intercept, I use an online site called desmos.
Hope this helps, if you have any questions, feel free to ask.
Have a good day! :)
In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.
Answer: 10 rows
Step-by-step explanation:
Given:
Seats on each row = 199.
Population of student attending = 1990.
no of students from same school = 39.
Therefore;
If the students from same school must seat in same row determine the number of rows that most be reserved for these students.
1. At most 39 students from same school
= total population of all students/ students from same school
= 1990 / 39
= 51 schools would be attending the event
2. No of students a row can accommodate
= Seats on each row / no of students from each school
= 199/39
= 5
3. No of rows to that most be reserved
= 51 / 5
= 10
So 10 rows must be reserved.
Help please! Work do be a struggle tho
Answer:
[tex] h = \dfrac{S}{2 \pi r} - r [/tex]
Step-by-step explanation:
[tex] S = 2 \pi rh + 2 \pi r^2 [/tex]
[tex] 2 \pi rh + 2 \pi r^2 = S [/tex]
[tex] 2 \pi rh = S - 2 \pi r^2 [/tex]
[tex] h = \dfrac{S}{2 \pi r} - \dfrac{2 \pi r^2}{2 \pi r} [/tex]
[tex] h = \dfrac{S}{2 \pi r} - r [/tex]
A cup holder in a car contains 19 quarters, 39 dimes, some number of nickels, and 58 pennies. If all the coins in the cup holder equal $10.08, then how many nickels are in the cup holder?
Answer:
17 nickels
Step-by-step explanation:
To be able to find the answer, you can say that the sum of the value of each coin multiply for its quantity is equal to 10.08, which you can express as follows:
quarters= 0.25
dimes= 0.10
nickels= 0.05
pennies= 0.01
(0.25*19)+(0.10*39)+(0.05*x)+(0.01*58)=10.08, where
x= the quantity of nickels
Now, you can solve for x:
4.75+3.9+0.05x+0.58=10.08
0.05x=10.08-4.75-3.9-0.58
0.05x=0.85
x=0.85/0.05
x=17
According to this, the answer is that there are 17 nickels in the cup holder.
what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then shifted left 3 spaces
Answer:
f(x) = 2(x+3)^4
Step-by-step explanation:
I graphed the functions on the graph below so you can see how I got my answer.
Answer:
g(x)=2x^4+3
Step-by-step explanation:
How to convert the equation
[tex]y = \frac{q}{5 {}^{x} } [/tex]
to linear form
Answer:
[tex]xlog 5 = logq - log y\\[/tex]
Step-by-step explanation:
Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;
[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]
The final expression is a linear form of the expression
Pls help ima give BRAINLIST and a like
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
The total purchase price of a new home entertainment system is $14 comma 230. If the down payment is $2300 and the balance is to be financed over 72 months at 5% add-on interest, what is the monthly payment?
Answer: the monthly payment is $192
Step-by-step explanation:
The cost of the new home entertainment system is $14230.
If the down payment is $2300, then the balance to be paid would be
14230 - 2300 = $11930
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the balance
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $11930
r = 0.05/12 = 0.0042
n = 72 months
Therefore,
P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]
11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]
P = 11930/{1.352 -1}/[0.0042(1.352)]
P = 11930/(0.353/0.0056784)
P = 11930/62.125
P = $192
Probability Question: A student is taking a multiple choice question. Each question has 4 choices. There are 20 question in the test and the student answers them all randomly. Determine the probability that the student has at least 10 correct answers. Answer to 4 decimal places
Answer: 0.9961
Step-by-step explanation:
Given: Total choices to each question = 4
So, the probability that an answer is correct = [tex]\dfrac{1}{4}=0.25[/tex]
Total questions = 20
i.e. n= 20
Let x be the binomial variable that represents the number of correct answers.
So, the probability that the student has at least 10 correct answers.
[tex]B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)[/tex]
[tex]=0.9961[/tex] [By using cumulative binomial table]
Hence, the probability that the student has at least 10 correct answers = 0.9961
What is the slope of the line that passes through (5,-2) and (-3,4)
Answer:
Slope = [tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
(5 , -2) ; (-3, 4)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]
Write one rational and one irrational number between 0. 515115111... and 0.535335333....
Answer:
Hello There!
`~~~~~~~~~~~~~~~~~~~~`
Rational number of 0. 515115111 : 0.515
Irrational number of 0.535335333 : 0.51626226222622226222226
Hope this helped you. Brainlies would be nice!
~~~~~~~~~~~~~~~~~~~~~
. An octagon has a side length of 15 feet and an area of 1089.6 ft?.
Find the area of a smaller octagon that has a side length of 7 feet.
Question
An octagon has a side length of 15 feet and an area of 1089.6 ft²
Find the area of a smaller octagon that has a side length of 7 feet.
Answer:
237.3ft²
Step-by-step explanation:
We are given two octagons in the above question.
Side length of larger octagon = 15 ft
Area of larger octagon = 1089.6 ft²
The area of a smaller octagon = X
Side length of smaller octagon = 7 ft.
We solve for this using scale factor
Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length
k = 7/15
It is important to note that
The square of the scale factor k = ratio of the areas of the octagon
Hence,
k² = X/1089.6 ft²
(7/15)² = X/1089.6 ft²
7²/15² = X/1089.6 ft²
Cross Multiply
15² × X = 7² × 1089.6ft²
X = 7² × 1089.6ft²/15²
X = 237.29066667ft²
Approximately, the area of the smaller octagon = 237.3ft²
Write these numbers in standard form
Answer:
a. [tex] 4*10^{-5} [/tex]
b. [tex] 5*10^{-5} [/tex]
c. [tex] 6*10^{-6} [/tex]
d. [tex] 8*10^{-10} [/tex]
Step-by-step explanation:
To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.
a. 0.00004:
To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.
The standard form would be: [tex] 4*10^{-5} [/tex].
Now let's check if we're correct.
[tex] 4*10^{-1} = 4*\frac{1}{10^5} = 4*\frac{1}{100,000} = 4*0.00001 = 0.00004 [/tex]
Follow same procedure as shown above to write the rest numbers in standard form.
You should have the following as their standard form:
b. [tex] 0.00005 = 5*10^{-5} [/tex]
c. [tex] 0.000006 = 6*10^{-6} [/tex]
d. [tex] 0.0000000006 = 8*10^{-10} [/tex]
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
Answer: 4:3.
Step-by-step explanation:
Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as
[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]
As per given,
[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]
Hence, P partition the directed line segment from M to N in 4:3.
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11. Answer in cubic ft a0 cubic units.
Answer:
12 ??
Step-by-step explanation:
Answer:
12 cubic units
Step-by-step explanation:
1. Multiply 4 and 3