Answer: y= 2/3x + 8
Two lines are parallel if they have the same slope.
2/3x is the slope so the only thing needed to change to make it parallel is the y-intercept.
The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.
Answer: 12m by 4m.
Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.
Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.
w = x
l = x + 8
Use the equation for the perimeter.
P = 2l + 2w
Plug in your values:
32 = 2(x + 8) + 2(x)
Now, solve for x! First start by distributing the 2:
32 = 2x + 16 + 2x
Next, add like terms:
32 = 4x + 16
Subtract 16 from both sides:
16 = 4x
Divide by 4 on both sides:
4 = x
Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.
l = x + 8
Plug in your x and solve:
l = 4 + 8
l = 12
Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.
THIS IS THE LAST QUESTION I NEED TO PASS
If two triangles are similar, that means their side lengths are proportional, so we get the equation
[tex]\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6[/tex]
Thus x = 13.6.
Hope that helped!
What is the slope of a line perpendicular to the line whose equation is 2x-5y=-40
Answer:
[tex]2x-5y=-40\\-5y = -40-2x\\y = \frac{-40}{-5}-\frac{2x}{-5} \\y = \frac{2x}{5}+8[/tex]
Slope of a line perpendicular is [tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
Hey there!
The given equation is ; 2x - 5y = -40.
Or, 2x - 5y + 40 = 0
Slope of the equation is;
[tex]slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m = \frac{ - 2}{ - 5} [/tex]
[tex]m = \frac{2}{5} [/tex]
Therefore, the slope of equation is 2/5.
Now; For the perpendicular lines:
Slope of equation * slope of next line = -1
i.e M1*M2= -1
[tex] \frac{2}{5} \times m2 = - 1[/tex]
[tex]2 \: m2 = - 5[/tex]
[tex]m2 = \frac{ - 5}{2} [/tex]
Therefore, the slope of the line which is perpendicular line to 2x - 5y + 40= 0 is -5/2.
Hope it helps....
NEED HELP ASAP!!!!
Line h , triangle JKL , and triangle QRS are shown on the coordinate plane. Triangles JKL and QRS are similar and both are right triangles.
Which statements are true?
Select all that apply.
A
The slope of line h is equal to KL/JK.
B
The slope of line h is equal to KL/RS.
C
The slope of line h is equal to QR/RS.
D
The slope of JL is equal to the slope of QS.
E
The slope of QS is less than the slope of JL .
Answer: C, D
Step-by-step explanation:
Identify the solutions to (2x-5)(x+12)=0.
Answer:
x = 5/2, -12
Step-by-step explanation:
(2x-5)(x+12) = 0
2x-5 = 0
2x = 5
x = 5/2
x + 12 = 0
x = -12
Answer:
x = 5/2 x = -12
Step-by-step explanation:
(2x-5)(x+12)=0.
Using the zero product property
2x-5 =0 x+12=0
2x=5 x = -12
x = 5/2 x = -12
a Show that the sum of any three
consecutive even integers is a multiple of 6.
b) Hence, or otherwise, work out what the
values of three consecutive even integers
must be if their sum is 6000.
Answer:
Below.
Step-by-step explanation:
a) Let the numbers be n, n + 2 and n + 4
Sum = n + n + 2 + n + 4
= 3n + 6.
As n must be even (2, 4, 6 and so on) , 3n must be divisible by 6 and 3n + 6 is divisible by 6 also.
b) 3n + 6 = 6000
3n = 5994
n = 5994/3 = 1998
So the numbers are 1998, 2000 and 2002.
Which data set does this stem-and-leaf plot represent?
15, 24, 28, 36, 45, 75, 76, 77, 80, 86
15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86
5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0, 6
15,555, 248, 36, 45, 75,567, 806
Answer:
15, 15, 15, 15, 24, 28, 36, 45, 75, 75, 76, 77, 80, 86
Step-by-step explanation:
you read the left side for each digit on the left side
The data set does this stem-and-leaf plot represent is
15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86
What is Stem and leaf plot?Finding the Mean, Median, and Mode of a Data Collection Using Stem-and-Leaf Plots. A set of data's mean is its average. The midway value in a set of data is known as the median. The number that appears the most frequently in a piece of data is the mode. The mean, median, and mode of a collection of data can be determined using a stem-and-leaf plot.
we have given Stem and leaf plot.
then, the data from plot can be reframed as
15 15 15 15
24 28
36
45
75 75 76 77
80 86
So, the data set does this stem-and-leaf plot represent is
15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86
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Help on this please.
Answer:
(25 -5√7)/3 ≈ 3.924 inches
Step-by-step explanation:
After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...
x × (20 -2x) × (30 -2x)
The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.
__
You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.
V(x) = 4x^3 -100x^2 +600x
The derivative is ...
V'(x) = 12x^2 -200x +600 = 0
Dividing by 12, we have ...
x^2 -50/3x +50 = 0
Completing the square, we get the form ...
(x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9
Taking the square root gives ...
x -25/3 = ±(5√7)/3
The solution in the desired range is ...
x = (25 -5√7)/3 ≈ 3.924 . . . inches
_____
Additional comment
We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.
__
The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...
x = ((a +b) -√((a -b)² +ab))/6
What is the measure of the vertical angles?
6x - 199
3x + 32
what is ⅓ of nine times a half of 10
Answer:
15
Step-by-step explanation:1 third of 9 is 3. Half of 10 is 5. Multiply 5 by 3. It is now 15.
Answer:
15
Step-by-step explanation:
Work backwards:
half of 10 = 10 ÷ 2 = 5
so ... nine times half of 10 = 9 × 5 = 45
so ... ⅓ of nine times half of ten = ⅓ of 45 = 45 ÷ 3 = 15
how can you apply the process of solving percentiles of a grouped data in a purposeful way?
We can apply the process of solving percentiles of a grouped data in a purposeful way by using it to compare a performance to that of other students.
What is Percentile?This is a statistical tool which measures the value below which a given percentage of observations in a group of observations fall.
Percentile Rank = L + (RN/100 – M) / F × C where
L is the lower bound of the interval that contains the percentile rankR is the percentile rankN is the total frequencyM is the cumulative frequency which contains the percentile rankF is the frequency of the interval that contains the percentile rankC is the class widthRead more about Percentile here https://brainly.com/question/2263719
There are 4 cups of flour if 7 people share them equally to do some baking how much flour will each person get?
Answer:
I think it's 0.57
Step-by-step explanation:
You just have to divide 4 cups by 7
A movie theater sells popcorn in bags of different sizes. the table shows the volume of popcorn and the price of the bag. now write an equation relating the volume of popcorn,x, in ounces to the price, y in dollars
please hurry if you are gonna answer this answer it correct dont attach a virus please
Answer:Function modelling - It is based on the variables like Quadratic expression, rational numbers as the setting of function depends the function modelling performs .Thus the option to the above ques is 16$
Step-by-step explanation: hope this helps!!! :)
Pls help
Picture in down here
Answer:
1/7 is less than 7/12
Step-by-step explanation:
please mark me as brainlest
evaluate (5.4 x 105) - (1.4 X 10)
Answer:
553
Step-by-step explanation:
567 - 14 = 553
if +800 represent RM800 being credit into saving account then RM800 being debited into a saving account is represent as?
Assuming +800 represent RM800, then RM800 being debited into a saving account is represent as:-$800.
What is saving account?A saving account is an account that enables you to save you money while you earn interest on the amount save.
The amount +$800 being credited means that money is being deposited into the saving account while on the other hand -$800 being debited represent a reduction in the amount deposited into the saving account.
Inconclusion RM800 being debited into a saving account is represent as:-$800.
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3v + 11 = 50 what’s the answer ?
Answer:
v=13
Step-by-step explanation:
3(13) = 39+11 = 50
Answer:
Our main goal is to isolate the variable here (v).
And if we want to solve this equation,
we must utilize inverse operations.
Given that:-
3v + 11 = 50
We always first get rid of the constants.
And in this case, 11 is our constant.
So the inverse operation of addition is subtraction (because 11 is being added)
-11 -11
3v = 39
Now, we are left with a co-efficient.
To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).
/3 /3
V = 13
Which function is graphed below? On a coordinate plane, a curve goes has a maximum point at 1 and a minimum point at negative 1. It crosses the y-axis at (0, 1) and increases through the y-axis. f(x) = cos(x) f(x) = –cos(x) f(x) = sin(x) f(x) = –sin(x)
Answer:
A. f(x) = cos(x)Step-by-step explanation:
This is option A because the cos(x) has a y-intercept of (0, 1) only.
See attached to compare with other options.
Answer: A
Step-by-step explanation:
Edge 2025
I need help with #12 MULTIPLE CHOICE
Answer:
[tex]\huge\boxed{B)\ m=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-1, 3) and (3, 5).
Substitute:
[tex]m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{3+1}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]
who killed mr.prop worksheet answer
how am I supposed to know????
Answer:
Ms.Manns, Office, and with the Crowbar
Step-by-step explanation:
A piece of wire is 8/9 meter long broke into two pieces. One piece is 2/3 meter long. How long is the other?
Answer: 2/9 meter
Step-by-step explanation:
Answer:
2/9 is the answer.Step-by-step explanation:
1. First, make an equation.
Given:
8/9 = length of wire
2/3 = length of a part of the wire
E = 8/9-2/3
Unknown:
Second part of wire
2. Make the numbers have equal denominators
2/3 * 3/3
= 6/9
3. Solve
8/9 - 6/9
= 2/9
Hope this helped,
Kavitha
PLS HELP ILL GIVE BRAINLIEST NEED ASAP !Which point lies on the graph of f(x)=3^x−5?
Question 1 options:
(3, 22)
(10, 25)
(0, -2)
(8, 19)
question 2 Which scenario can be represented by an exponential model?
Question 2 options:
Jack adds $3 to his piggy bank every week.
The height of a ball is tracked after it is thrown into the air.
The medication in an adult male reduces by half per hour.
Maggie earns $17.25 per hour.
The point (3,22) lies on the graph of f(x) = 3ˣ - 5. The medication in an adult male reduces by half per hour can represent an exponential function.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Given the function:
f(x) = 3ˣ - 5
At point (3, 22):
f(3) = 3³ - 5 = 22
The point (3,22) lies on the graph of f(x) = 3ˣ - 5.
The medication in an adult male reduces by half per hour can represent an exponential function.
Both tables represent an exponential function.
Find out more on exponential function at: https://brainly.com/question/12940982
Solve 5ax +6ax =7ax + 8 for x. Assume a ≠ 0
Answer:
x= 2/a (apex)
Step-by-step explanation:
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone. (i) What is the probability that exactly five of them did not see a doctor? (4 marks) (ii) What is the probability that fewer than four of them did not see a doctor? (5 marks) (iii) What is the expected number of people who would not see a doctor? (5 marks)
Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)[/tex]
(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),
[tex]P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}[/tex]
[tex]=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}[/tex]
=0.15708
(ii) The probability that fewer than four of them did not see a doctor
[tex]=P(r<4)[/tex]
[tex]=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
[tex]=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}[/tex]
[tex]=0.017951+0.072527+0.146154+0.195856[/tex]
[tex]=0.432488[/tex]
(iii) The expected number of people who would not see a doctor
[tex]=np[/tex]
[tex]=300\times 0.01[/tex]
=3
Evaluate 15/k when k = 3
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
15/k
15/3
5
3(2x−7)+ 1/3 (7x+2)
I NEED HELP!!!
Answer:
Today: Friday, 30 October 2020
Hour: 14.49 WIB (in Indonesia)
________________________
3 (2x - 7) + 1/3 (7x + 2)
= 6x - 21 + 7x/3 + 2/3
= 6x + 7x/3 + 2/3 - 21
= 25x - 61/3
write the quadratic equation that has a Vertex at -4, negative 1 includes the point -2, 1
Find the distance between the points (
–
2,
–
7) and (7,
–
3).
Answer:
sqrt(97)
Step-by-step explanation:
Jack and Jill each planted flowers in their garden. Jack spent $41 on 4 daylilies and 7 roses. Jill spent $81 on 12 daylilies and 7 roses.
The lengths of the red drum species of fish have an approximately Normal distribution, with a mean length of 24 inches and a standard deviation of 1.4 inches. What proportion of red drum fish are between 22 and 23.5 inches in length?
Answer:
0.2830
Step-by-step explanation:
edge
The required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given condition, if the fish is between 22 and 23.5 inches,
P(22≤ X ≤ 23.5)
You can rewrite it as:
⇒ P(X ≤ 22) - P(X ≤ 23.5)
The first step is to standard both values before using population data and the standard normal distribution to get the probability:
The formula of the standard normal is Z=(X-μ)/σ
⇒ P(Z ≤ (23.5-24)/1.4) - P(Z ≤ (22-24)/1.4) = P(Z ≤-0.36) - P(Z ≤ -1.43)
Now you look at the table of the Z-distribution for the cumulative probabilities for both z-score
⇒ (1 - 0.6406) - (1 - 0.9236)
⇒ 0.3594- 0.0764 = 0.2830
Hence, the required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.
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