Answer:
y - 4 = 1/3(x - 4)
y - 4 = 1/3x - 4/3
y - 12/3 = 1/3x - 4/3
y = 1/3x + 8/3
Step-by-step explanation:
The slope of a line can be expressed in the form y = mx + b. Given m = 1/3 and a point (4,4), we can substitute these into the equation to find b. The equation of the line is thus y = 1/3x + 8/3.
Explanation:In mathematics, an equation of a line is often written in the slope-intercept form, which is y = mx + b. The term 'm' represents the slope of the line, while 'b' is the y-intercept.
In the question, the value 'm' is provided as 1/3, and one point through which line passes is (4,4). We can substitute the value of 'm' and the coordinates of the point into the equation to solve for 'b'.
So, y = mx + b becomes 4 = (1/3)*4 + b. Simplify this to solve for b, hence b=4-(4/3) which gives 'b' as 8/3.
Therefore, the equation of the line becomes y = 1/3x + 8/3.
Learn more about Slope-intercept formhttps://brainly.com/question/25722412
#SPJ3
Mario programs his helicopter to fly at a target with a velocity (speed and direction) of p. The direction of p is
due east, and its speed is 6 m/s.
To Mario's dismay, the wind causes his helicopter to actually fly with a velocity a, and it misses its target. The
direction of ā is 30° south of east, and its speed is 5 m/s.
(Assume "due east" is 0°, "due north" is 90°, and so on.)
What is the speed of the wind?
m/s
(Round your final answer to the nearest tenth.)
In what direction is the wind blowing?
(Round your final answer to the nearest degree. Your answer should be between 0 and 360°.)
Answer:
3.0 m/s236.3°Step-by-step explanation:
The wind speed can be found using the Law of Cosines. It will be the unknown side of a triangle with sides 6 and 5 and included angle 30°.
s^2 = 6^2 +5^2 -2·6·5·cos(30°) ≈ 9.038476
s ≈ √9.038476 ≈ 3.0064 . . . . m/s
The direction of the wind can be found from the Law of Sines, which tells us the relationship of the internal angle A to velocity vector a is ...
sin(A)/a = sin(30°)/3.0064
A = arcsin(5/3.0064·sin(30°) ≈ 56.26°
To find the desired angle, we must add 180° to this value.
The wind is blowing 3.0 m/s in direction 236.3°.
Kathleen says that quadrilaterals have right angles Gray says that quadrilaterals do not have to have right angles explain who is correct
Both types of quadrilaterals do exist, so neither of them is correct.
Who is correct?Well, actually neither of the two kids is correct.
There are quadrilaterals that have internal right angles, such as the square or the rectangle, but there are also quadrilaterals whose internal angles do not measure 90°, like the case of the rhombus.
Then there are quadrilaterals with right angles and quadrilaterals without right angles, then neither Kathleen nor Gray are correct, because both types of quadrilaterals do exist.
If you want to learn more about quadrilaterals.
https://brainly.com/question/16691874
#SPJ2
Answer:
Neither of them are correct because both do exist but they are not right
Step-by-step explanation:
What is(f*g)(x)
f(x)=x³-4x+2
g(x)=x²+2
Answer:
there is no answer for that
Step-by-step explanation:
There are to photocopy machines in office. The first machine produces five copies in eight seconds. The second machine produces 16 copies and 24 minutes. Are the two machines making copies at the same rate?
Answer:
No
Step-by-step explanation:
The rate per second for copies will be as follows
First machine
Since it takes 8 seconds to make 5 copies hence rate per second is equivalent to 5/8 copies per second
Second machine
First, convert its time into seconds. Given that 1 min has 60 seconds then 24 mins will have 24*60=1440 seconds
During this time, the machine makes 16 copies. Therefore, the rate per second is 16/1440 which when simplified is 1/90 copies per second.
Clearly, these two rates are different.
Given the system of equations y = 6x - 10 and 2x + 3y = 10, is the point (2,2) a solution?
Answer:
Step-by-step explanation:
hello :
y = 6x - 10 (*)
2x + 3y = 10...(**)
by (*) put this value of y into (**) : 2x+3(6x-10)=10
2x+18x-30 = 10
20x=40 so : x= 2 but y = 6x - 10 y = 6(2)-10 =2
one solutions (2,2)
6⁄5 × 1 3⁄4 × 2 3⁄2 =
Answer:
147/20 = 7,35
Step-by-step explanation:
6/5 × 7/4 × 7/2 = 3/5 × 7/4 × 7 = 147/20 = 7,35
Write the fraction shown by each model. Then determine whether the number is
closest to 0, 1/2, or 1.
Answer:
1. fraction is 5/8 which is closest to 1/2
2. fraction is 9/10 which is closest to 1
Nearest dollar to $624.52 ?
Answer:
$625
Explanation:
The tenth place is 5.
when you round, less than five and the number stays the same, five or more and it raises one
Plz help will give brainiest to the first person who answers this correctly plz helpppp!!!!
Its B please brainleiest
What's the awnser for this ×+5=-3×+25
Answer:
x=5
Step-by-step explanation:
x+5 = -3x+25
Add 3x to each side
x+3x+5 = -3x+3x+25
4x +5 = 25
Subtract 5 from each side
4x+5-5 = 25-5
4x = 20
Divide each side by 4
4x/4 = 20/4
x =5
Answer: x=5
Step-by-step explanation:
x+5= 3x+25
collect like terms
subtract
4x=20
divide both sides by four
x=5
If f(x)=x² + 1, find f(a + 1).
Answer:
f(a + 1) = (a + 1)² + 1 = a² + 2a + 2
2 1/3 as a fraction
Answer: 7/3
Step-by-step explanation:
2 1/3 is in simplest form and is a mixed number. We can make this an improper fraction.
2 * 3 + 1 = 7
7/3
Answer:
7/3
Step-by-step explanation:
first you multiply the denominator by the whole number(2)
2x3=6
Then you add 1
2+1=7
Finally 7 goes up to the numerator and the denominator does not change so it stays 3
Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
x = 1
x = 9
Answer: A, x= -9
I have a site that I will tell you about if you want
Answer:
a
Step-by-step explanation:
Convert the unit of capacity. 2 qt 1 cup = ___ fl oz
A.40
B.72
C.80
D.136
help i guess
Answer: r43
Step-by-step explanation:
When the unit of capacity of 2 qt 1 cup is converted to fl oz is 72.
What is 2 qt 1 cup converted to fl oz?In order to convert 2 qt 1 cup to fl oz, the following steps should be taken:
First convert quart to ounce
1 quart = 32 ounce
32 x 2 = 64 ounce
Now, convert cup to ounce
1 cup = 8 ounce
Now add 64 to 8
64 + 8 = 72
Is this shape symmetrical
Explain the importance of putting your data set in order from least to greatest
Answer:
The mean may not be a fair representation of the date
Step-by-step explanation:
because the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.
Enter the next 3 terms from the geometric sequence below.
−
2
,
1
,
−
1
2
,
.
.
.
Answer:
1/4, -1/8, and 1/16
Step-by-step explanation:
Geometric sequence: -2, 1, -1/2, ....
Geometric sequence means there is a common ratio.
so from -2 , the next term is -2*r , and the next term is -2*r*r
-2r = 1, means r = -1/2
then next after -1/2, is 1/4,
and then... -1/8, and then 1/16
In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. The next three terms in the sequence are 1/4, -1/8, and 1/16.
Explanation:In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. In this sequence, the common ratio can be found by dividing each term by its previous term.
-2 ÷ 1 = -2
1 ÷ -2 = -1/2
The next three terms in the sequence can then be found by multiplying each term by the common ratio.
-1/2 × (-1/2) = 1/4
1/4 × (-1/2) = -1/8
-1/8 × (-1/2) = 1/16
Therefore, the next three terms in the geometric sequence are 1/4, -1/8, and 1/16.
Learn more about geometric sequence here:https://brainly.com/question/34721734
#SPJ3
0.032 56 3 s.f. please help
Answer:
0.0326
Step-by-step explanation:
0.032 56 3
In 3 sf, would be
0.0326
HELLLP PLEASE !!!! ASAP
Darah has 200 milliliters of a salt and water solution that is 12% salt. She begins to add a salt and water solution
that is 5% salt to the 12% solution. The percent of salt in Darah's combined solution when x milliliters of the 5%
solution have been added can be modeled by Cwx) =
2,400 + 5x
200 + x
Two different tables of values for C(x) are given below. Use the tables to answer the questions that follow.
CO)
10.6
50
100
150
200
COX)
500 7.0
1.000 6.17
5,000 5.27
10,000 5.14
50,000 5,03
100,000 5.01
1,000,000 5.001
8.11
350
400
450
500
7.55
733
7.15
70
Part A: 2 points
Is this function increasing or decreasing? What does this mean in the context of the problem?
Part B: 2 points
What is the horizontal asymptote of the function? Interpret the meaning of the asymptote in
the context of the problem.
Answer:
A) decreasing. Salt concentration is being reduced.
B) 5%. The more 5% solution that is added, the closer the mixture becomes to 5%.
Step-by-step explanation:
A) Increasing values of x result in decreasing values of C(x), so the function is decreasing.
This means that when a lower concentration of salt solution is added to one of higher concentration, the result is a decrease in the concentration of salt in the mixture.
__
B) As x gets very large, C(x) approaches 5. The horizontal asymptote is C=5.
In the context of the problem, it means that as the solution contains more and more 5% brine, the concentration of salt in the mix approaches 5%.
Andre is ordering ribbon to make decorations for a school event. He needs a total of
exactly 50.25 meters of blue and green ribbon. Andre needs 50% more blue ribbon than
green ribbon for the basic design, plus an extra 6.5 meters of blue ribbon for accents.
How much of each color of ribbon does Andre need to order?
Answer before 5:00pm
Answer:
Let g = length of green ribbon.
So 1.5g + 6.5 = length of blue ribbon.
g + 1.5g + 6.5 = 50.25
2.5g = 43.75
g = 17.5 meters of green ribbon
1.5(17.5) + 6.5 = 32.25 meters of blue ribbon
Marla thinks she can rewrite the expression as 4×(3+18) ÷6 and still get the same value is she correct? What I'd the value of Marla expression?
Answer:
No, if you add the parentheses things can change.
Step-by-step explanation:
4 times (3+18) divided by 6 is 14.
You have to divide first then multiply.
4 times 3+18 divided by 6 without the parentheses is 15.
Hope this helps!
if f(x) = -x2 + 4x - 9 and g(x) = x - 8, find g(f(-1))
Answer:
-22
Step-by-step explanation:
f(x) = -x2 + 4x - 9
g(x) = x - 8,
g(f(-1))
First find f(-1)
f(-1) = - (-1)^2 + 4(-1) - 9 = -1 -4-9 = -14
The find g(-14)
g(-14) = -14-8 = -22
four teachers by 10 origami books and 100 packs of origami paper for their classrooms they will share the cost of the Items equally how much should each teacher payorigami book $24 eachorigami paper $6 per pack origami kit $8 each
Answer:
$210
Step-by-step explanation:
(Note: there is no mention of the teachers buying origami kits so I will assume it's irrelevant)
We have 10 origami books, each of which is $24, so the total cost of the books is 10 * 24 = $240. We have 100 packs of origami paper, each of which is $6, so the total cost of the paper is 100 * 6 = $600.
Add these together: 240 + 600 = $840.
There are 4 teachers and each one will pay the same amount, so divide 840 by 4:
840 ÷ 4 = $210
The answer is $210.
Answer:
$210 each
Step-by-step explanation:
Total cost:
10×24 + 100×6
240 + 600
840
Cost to be divided into 4
840/4
210
An equation with a degree greater than 1. The graph of the equation will not produce a line.
Answer:
Nonlinear Equation
Step-by-step explanation:
Given Ohm's Law, V=IR
which of the following operations will solve for I
I?
Answer:
Divide both sides by "R".
V = IR
V/R = I
Step-by-step explanation:
please help me i don’t wanna get this wrong
Answer:
D (option 4)
Step-by-step explanation:
Difference of medians:
110 - 80 = 30
Ranges:
Johnston: 140 - 80 = 60
30 = ½(60)
Martinville: 120 - 40 = 80
30 = ⅜(80)
A right pyramid with a regular hexagon base has a
base edge length of 4 ft and a height of 10 ft.
WY represents the height
If the area of an equilateral triangle with sides of 4 ft is
4/3 square feet, then the area of the regular hexagon
base is
6 3 square feet.
The volume is
vs
Answer:
Height, 24, 80, and cubic feet
Step-by-step explanation:
I just did this on edge-unity and it gave me that.
Area of the regular hexagon base is 24√3 square feet and the volume of the same is 80√3 cube feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that,
The base of a right pyramid is regular hexagon.
Edge length of regular hexagon = 4 feet
Area of equilateral triangle with sides 4 feet = 4√3 square feet
A regular hexagon can be divided in to 6 equilateral triangles.
Area of the base of the pyramid = 6 × area of an equilateral triangle
= 6 × 4√3
= 24√3 square feet
The volume of a hexagonal pyramid = [tex]\frac{\sqrt{3} }{2}[/tex] b² h
where h is the height and b is the edge length of the base.
Height of the pyramid = 10 feet and b = 4 feet
Volume = [tex]\frac{\sqrt{3} }{2}[/tex] 4² × 10 = 80√3 cube feet
Hence the area of the base is 24√3 square feet and volume is 80√3 cube feet.
Learn more about Area and Volume here :
https://brainly.com/question/15585435
#SPJ7
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
36.5
Step-by-step explanation:
The median is the middle number when all the numbers are put in order from smallest to largest
-41 -32 33 40 43 55
The middle is between the third and fourth number
We add the 3th and 4th number and divide by 2
(33+40)/2 =73/2=36.5
Use the multiplier method to decrease £262 by 39%
You must show your working.
When you decrease £262 by 39% using the multiplier method, you get £159.82 as the result.
To decrease £262 by 39% using the multiplier method, follow these steps:
Convert the percentage decrease to a decimal:
39% = 0.39
Calculate the multiplier (the factor by which you'll multiply the original amount to decrease it):
Multiplier = 1 - Percentage Decrease (as a decimal)
Multiplier = 1 - 0.39
Multiplier = 0.61
Multiply the original amount by the multiplier to find the decreased amount:
Decreased Amount = Original Amount × Multiplier
Decreased Amount = £262 × 0.61
Now, calculate the decreased amount:
Decreased Amount = £159.82
for such more question on multiplier method
https://brainly.com/question/16715394
#SPJ3
Help me first on that answers wins brainliest!
Answer: Top row: -8. 2nd row: 1, -9. 3rd row: -5, 6, -15. 4th row: 3,-8, 14, -29.
Step-by-step explanation: Work from the bottom up.
The numbers that add up to -15 (to the left of -29) can be found by subtracting 15 from 29. 29-15=14. -29+14=-15.
The numbers that add up to -5 (to the left of -8) can be found by subtracting 5 from 8. 8-5=3. -8+3=-5.
The numbers that add up to 1 (next to -5) can be found by adding 1 and 5. 1+5=6. -5+6=1.
To find the number next to 1, add -15 and the number we just found between -5 and -15 (6). -15+6=-9.
To find the top number, add -9 and 1. -9+1=-8.
This explanation doesn't make the most sense, but it's how I found them.