4x and –3(–x) are negative.
is anyone able to answer this?
Step-by-step explanation:
(59,76) , (65,100)
independent variable 76times per minute and 100 per minute dependent variable 65°F and 59°F
[tex] m = \frac{y2 - y1}{x2 - x1} = \frac{100 - 76}{65 - 59} = 4[/tex]
y = mx + b
76 = 4(59)+b
b = -160
y= 4x -160
how many 3 element subsets of {1, 2, 3, 4, 5, 6, 7, 8, ,9, 10, 11} are there for which the sum of the elements in the subset is a multiple of 3
Answer:
There are 155 ways in which these elements casn occur.
Step-by-step explanation:
We want 3 element subsets whose sum are multiples of 3
1+2+3= 6
1+2+6= 9
1+2+9= 12
1+9+11=21
1+3+5=9
1+4+8=12
1+5+6=12
1+6+8=15
1+7+10=18
1+8+9=18
1+9+11=21
2+3+7=12
2+4+6=12
2+4+9=15
2+5+11=18
2+6+7=15
2+7+9=18
2+8+5=15
2+8+11=21
2+9+10=21
3+6+9= 18
3+9+11=21
3+10+11=24
6+9+10=27
6+8+11=27
6+7+11=24
7+8+9= 24
8+9+10=27
7+9+11=27 .........
We have 11 elements
We need a combination of 3
The combinations can be in the form
even+ even+ odd
odd+odd+odd
even + odd+odd
So there are 3 ways in which these elements can occur
Total number of combinations with 3 elements =11C3= 165
There are 6 odd numbers and 5 even numbers.
Number of subsets with 3 odd numbers = 6C3= 20
Number of two even numbers and 1 odd number = 5C2*6C1=10*6= 60
Number of 2 odd and 1 even number = 6C2* 5C1= 5*15= 75
So 20+60+75=155
There are 155 ways in which this combination can occur
PLLLLLLSSSSSs helpppppppp
Answer:
x = 40
y = 62
Step-by-step explanation:
I figured out the answer by finding the x on the left triangle first by writing an equation:
(3x - 18) + (x + 7) + (x - 9) = 180
once I worked that I plugged in the number which was 40.
Then for the triangle to the right I also plugged in the numbers for x and got 118 degrees I took 180 and subtracted 118 to get my answer of 62 for y.
HELP PLEASE!!!!!!! ! ! !!
I need help with this question!!!
Answer: B. positive 6
Step-by-step explanation: Addomg the positive number to a negative number would turn it to a positive eventually. So u covert your factions to decimals to better see the resemblance. And 1 1/2 is the same as 1.5, and 2 1/10 is the same as 2.1 but it’s easier to deal with decimals. So then just add the positive to the negative sense 1 1/2 is closer to zero. I hope this helps I’m not the best at explaining things
What percent of 18 is 24?
Plssss help me
Answer:
133%
Step-by-step explanation:
24 of 18 can be reduced by 6 in which is also known as 4 of 3. 4/3 is equivalent to 133%
can someone please help me :(
Answer:
41/3 - 14 - Square root of 200
Step-by-step explanation:
41/3 is between 13 and 14
14 is 14
Square root of 200 is between 14 and 15
Select all of the values that are solutions of x2 + 20 = 12x.
X = -10
x = -2
x= 2
x = 10
RETRY
Answer:
the answer is : x=2 not 100% sure
If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0
Answer:
K = -7
Step-by-step explanation:
If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0
Given the 2×2 matrices
A = [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
We are to find K if =0
A² = [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
A² = [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex]
8A = 8[tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
8A = [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex]
Since [tex]I = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] \\[/tex]
[tex]KI = \left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex]
Substitute the resulting matrices into the expression above:
A^2-8A-KI = [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right][/tex]
From the expression, we have the equations;
1 - 8 - k = 0
-7 - k = 0
-7 = k
k = -7
Hence the value of K is -7
what's the difference between whole numbers and integers
Answer:
Whole numbers cannot include negative numbers. Integers are whole number and they can have negative whole numbers.
Step-by-step explanation:
A line is perpendicular to y = -x + 1
and intersects the point (-5,1).
What is the equation of this
perpendicular line?
Answer:
y = 5x + 26
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{5}[/tex] x + 1 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{5} }[/tex] = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 5, 1) into the partial equation
1 = - 25 + c ⇒ c = 1 + 25 = 26
y = 5x + 26 ← equation of perpendicular line
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Enter your answer in the box.
Answer:
6%
Step-by-step explanation:
percent = part/whole * 100%
percent = 912/15,200 * 100%
percent = 6%
Population data from three towns is displayed in the tables below. Which town has growth that follows an exponential model?
Answer:
It would have to be D.
Step-by-step explanation:
None of the tables display an exponential growth of population.
Which expression is equivalent to –8?
–2–3
(Negative one-half) Superscript negative 3
(one-half) Superscript negative 3
2–3
Answer:
2, - 3
Step-by-step explanation:
Expression equivalent to - 8
Answer:
d
Step-by-step explanation:
what is 17 / 20 as a decimal
solve the equation A = P + Prt for r. Solve the equation A = P + prt for p.
Answer:
b
Step-by-step explanation:
what is the distance between the points (4, 6) and (-1, 8)?
Answer:
Step-by-step explanation:
2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of 1450 and a graduation rate of 90%. GVSU has an average SAT of 1110 and a graduation rate of 69.6%. Write an equation to represent the linear relationship . Be sure your equation is in slope-intercept form
Answer:
[tex]y = \frac{5000r}{3} -50[/tex]
Step-by-step explanation:
Represent the SAT score with y and the rate with r.
So, we have:
[tex](r_1,y_1) = (90\%,1450)[/tex]
[tex](r_2,y_2) = (69.6\%,1110)[/tex]
Required
Determine the equation in slope intercept form
First, we calculate the slope
[tex]m =\frac{y_2 - y_1}{r_2 - r_1}[/tex]
This gives:
[tex]m =\frac{1110 - 1450}{69.6\% - 90\%}[/tex]
[tex]m =\frac{-340}{-20.4\%}[/tex]
Convert percentage to decimal
[tex]m =\frac{-340}{-0.204}[/tex]
[tex]m =\frac{340}{0.204}[/tex]
Multiply by 1000/1000
[tex]m =\frac{340*1000}{0.204*1000}[/tex]
[tex]m =\frac{340000}{204}[/tex]
[tex]m = \frac{5000}{3}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(r - r_1)[/tex]
This gives:
[tex]y - 1450 = \frac{5000}{3}(r - 90\%)[/tex]
Open Bracket
[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%[/tex]
Convert percentage to decimal
[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90[/tex]
[tex]y - 1450 = \frac{5000r}{3} - 5000*0.30[/tex]
[tex]y - 1450 = \frac{5000r}{3} - 1500[/tex]
Make y the subject
[tex]y = \frac{5000r}{3} - 1500+1450[/tex]
[tex]y = \frac{5000r}{3} -50[/tex]
True or False?
The ratios 4/5 and 52/60 are proportional
Answer:
False
Step-by-step explanation:
Answer:
False.
Step-by-step explanation:
n is m % of what? Help Please!!!!
9514 1404 393
Answer:
what = 100n/m
Step-by-step explanation:
You are given ...
n = m% × what
You know that % is fully equivalent to /100, so this can be written as ...
n = (m/100) × what
If we want to find "what", we can multiply by the reciprocal of its coefficient. That is, multiplying by 100/m gives ...
(100/m)n = (100/m)(m/100)×what
what = 100n/m
_____
Example
13 = 20% of what . . . . . n = 13, m = 20
what = 100(13)/20 = 65
so, 13 = 20% of 65.
what would the coordinate of a be?
Answer:
A'(-9,-3)
Step-by-step explanation:
-3*3=-9
-1*3=-3
x/12=-7 what's the answer? show work
Answer:
X = - 84
Step-by-step explanation:
Write 230,000,000,000 in scientific notation.
Evaluate: 30 - 12÷3×2 =
Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Evaluate: -18 + 4(6 ÷ 2)2
Evaluate: 11 + sqrt(-4 + 6×4÷3)
Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7
Simplify: (x4 / x3)3
Simplify: (3x2y-2)3 / (9xy3)3
Simplify: (2x-3y4)3(x3 + y)0 / (4xy-2)3
Write as a mathematical inequality:"9 is less than the product of M and N".
Find the slope of the line perpendicular to the line y = (1/3)x - 7
Answer:
1. 2.3 x 108
2. 22
3. 70
4. - 84
5. 13
6. 6 3 − 1 7 + 1 0
7. 3x
8. 3x^2y - 2/ xy^3
9. 0
10. mn - 9
11.
Give the rule for translating a point 4 units left and 8 units up
Answer:
(x-4,y+8)
Step-by-step explanation:
Given
[tex]Point = (x,y)[/tex]
Required
Translate
4 units left8 units up8 units up
The general rule for up translation is;
[tex]f'(x,y) = f(x,y+h)[/tex]
Where h is the unit translated up
In this case:
[tex]h = 8[/tex]
So, we have:
[tex]f'(x,y) = f(x,y+8)[/tex]
4 units left
The general rule for up translation is;
[tex]f'(x,y) = f(x-b,y)[/tex]
Where b is the unit translated left
In this case:
[tex]b = 4[/tex]
So, we have:
[tex]f"(x,y) = f(x -4,y+8)[/tex]
Hence, the rule of translation is: (x-4,y+8)
Answer:
translation is
x-4,y+8
Step-by-step explanation:
please help.
also, i hope you enjoyed you holidays !
Answer:
1. angle AXB
2. 52
Step-by-step explanation:
1.supplementary is 180⁰
2.90-38=52
in a shipment of 400 total parts, 14 parts are found to be defective. Write a sentence that describes the rate of defective parts
a- every 200 parts ,7 are defective
b- a box of 7 parts ,200 hundred parts are defective
c- approximately 57.14 parts, 1 part is defective
d- 28.57, 1 part is defective
Answer:
I want to say it is A
Step-by-step explanation:
I am not sure though and I am very sorry if you get it wrong
Joe and Alice are selling pies for a fundraiser. Jose sold 7 cherry pies and 2 apple pies
for $103. Alice sold 14 cherry ples and 12 apple pies for $366. What is the price for
a cherry pie?
Answer:
9.42857142857
Step-by-step explanation: Is a long decimal so you could just round it to 9.43
The Jacksons
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
What’s is the solution to the equation x to the power of 2 =16/25
Answer:
[tex]x=\dfrac{4}{5}[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2=\dfrac{16}{25}[/tex]
We need to find the value of x.
When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :
[tex]x=\sqrt{\dfrac{16}{25}}[/tex]
We know that, 4×4= 16 and 5×5 = 25
So,
[tex]x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}[/tex]
So, the solution of the given equation is 4/5.
Anton is constructing an angle congruent to ∠PQR. With his straightedge, he draws and labels AB−→. He places the compass point on point Q and draws an arc that intersects QP−→− and QR−→−. He labels the point where the arc intersects QP−→− as point S and the point where the arc intersects QR−→− as point T. What should Anton do next?
Answer: i just took the test yesterday and got it right
With the same compass opening, place the compass point on point A and draw a long arc through AB−→−.
hopefully this helps. i would have helped you sooner if i seen it before now
Place the compass point on point A and draw a long arc through AB using the same compass opening.
What is arc ?An "arc" is a smooth curve that connects two points. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve. An arc can be a portion of another curved shape, such as an ellipse, but it most commonly refers to a circle.
The arc of a circle is defined as a portion or segment of a circle's circumference. A chord of a circle is a straight line formed by connecting the two ends of an arc. A semicircular arc is one that is exactly half the length of a circle.
A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc.
To learn more about Arc refer :
https://brainly.com/question/2005046
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