For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have two points through which the line passes:
[tex](x_ {1}, y_ {1}): (- 3,4)\\(x_ {2}, y_ {2}) :( 1,0)[/tex]
We found the slope:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-4} {1 - (- 3)} = \frac {-4} { 1 + 3} = \frac {-4} {4} = - 1[/tex]
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope: [tex]m_ {2} = \frac {-1} {- 1} = 1[/tex]
Thus, the equation will be of the form:
[tex]y = x + b[/tex]
We substitute the given point and find "b":
[tex]6 = -2 + b\\6 + 2 = b\\b = 8[/tex]
Finally, the equation is:
[tex]y = x + 8[/tex]
Answer:
[tex]y = x + 8[/tex]
Order the integers from least to greatest 11 , 0, -8, 9, 3
Answer:
The answer is -8, 0, 3, 9, 11
Answer:
-8, 0, 3, 9, 11
Step-by-step explanation:
Question 5
Which set of coordinates represents a function?
(x, y)
(-2, 4)
(-1, 1)
(0,0)
(-1,-1)
(-2,-4)
(x, y)
(0,5)
(1, 10)
(2, 15)
(3, 20)
(4, 25)
(x, y)
(0,0)
(3, 3)
(3,-3)
(5,5)
(5, -5)
(x, y)
(1, 1)
(1,2)
(1, 3)
(1,4)
(1,5)
Answer:
Im guessing every time (x,y) comes, it starts a new set
Step-by-step explanation:
In that case,
(x, y)
(0,5)
(1, 10)
(2, 15)
(3, 20)
(4, 25)
is the correct set
An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?
Answer:
3.0 grams of the element are left after 18 minutes
Step-by-step explanation:
Recall that an exponential decay that can be studied with the following formula for the amount of material (A) as a function of time (t):
[tex]A(t)=A_0(1-r)^t[/tex]
where:
[tex]A_0[/tex] is the starting amount of the substance (in our case 820 grams)
r is the rate of decay (which in our case given as 26.8% can be written in decimal form as 0.268
and t is the time in minutes (in our case t = 18 minutes)
Then we have:
[tex]A(t)=A_0(1-r)^t\\A(18)=820*(1-0.268)^18\\A(18)=820*(0.732)^18\\\\A(18)=2.985\,grams[/tex]
which can be rounded to 3.0 grams
Answer: 3.0
Step-by-step explanation:
a=820
r= rate= 26.8%=0.268
b=1-r=1-0.268=0.732
y=820(0.732)^18
y=2.985474
y=3
4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube
whose volume is 1080 cm3? Show all your work.
Answer:
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.
Step-by-step explanation:
Given that volume of larger cube is 1080[tex]cm^{3}[/tex]
To find number of smaller cube with volume as whole numbers can fit the larger cube:
Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume
In the same way,
Assuming one edge has 'x' number of cube with volume as whole numbers
Since, It is cube. Number of cube in other edges will be 'x' too
For smaller cube,
Take one side of smaller cube as x
Therefore, One side of larger cube will be nx
For cube, length = height = breath =nx
The volume of larger cube : [tex](nx)^{3} =1080[/tex]
nx=10.2598cm
we need to find the "largest" number of cube( i.e n )
Therefore, Side x will be smallest and n will be largest.
For smallest value of x,
It is also said that " volumes are whole numbers "
smallest whole number is 1
Thus,
nx=10.2598cm
n=10.2598
n is also whole number so that n=10
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.
Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.
a.How far from home was Danielle after 1/2 hour?
b.What was Danielle's speed between 0 and 1 hour?
c.What was Danielle's speed between 1 and 2 hours?
d.What is the domain when the function is increasing?
e.What is the domain when the function is decreasing?
f.What is the domain when the function is constant?
Graph down below
PLEASE HELP ASAP!!!
Answer:
The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on
Step-by-step explanation:
Answer:
a. How far from home was Danielle after 1/2 hour?According to the graph, after half hour, Danielle was 1 mile far from home.
b. What was Danielle's speed between 0 and 1 hour?To find the speed we have to apply the formula:
[tex]s=\frac{\Delta d}{\Delta t}[/tex]
From [tex]t=0[/tex] and [tex]t=1[/tex], Danielle went from [tex]d=0[/tex] to [tex]d=2[/tex]. Replacing this values, we calculate the speed:
[tex]s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2[/tex]
Therefore, the speed between 0 and 1 hour is 2 miles per hour.
c. What was Danielle's speed between 1 and 2 hours?The Danielle's speed between 1 and 2 hours is zero ([tex]s=0[/tex]). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.
d. What is the domain when the function is increasing?The domain when the function is increasing refers to the increasing x intervals.
From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.
e. What is the domain when the function is decreasing?The parts of the decreasing domain are:
From 2 to 3 hours.From 3 and a half to 4 hours.In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.
f. What is the domain when the function is constant?The parts where the function is constant:
From 1 to 2 hours.From 3 to 3 and a half hours.Constant intervals, means no increase, no decrease, just an horizontal line.
1. What are transition metals?
Answer:
Any of the set of metallic elements occupying a central block (Groups IVB–VIII, IB, and IIB, or 4–12) in the periodic table, e.g., iron, manganese, chromium, and copper. Chemically they show variable valence and a strong tendency to form coordination compounds, and many of their compounds are colored.
Step-by-step explanation:
Round 67,492,384 to the nearest million
The next higher million is 68 million.
The next lower million is 67 million.
67,492,384 is closer to 67 million than to 68 million.
So the nearest million is 67,000,000 .
To round 67,492,384 to the nearest million, round the millions place up by 1 because the digit to its right is 7.
To round 67,492,384 to the nearest million, we need to consider the digits in the millions place and the digit to its right. In this case, the digit in the millions place is 6, and the digit to its right is 7. Since 7 is greater than or equal to 5, we round the millions place up by 1. Therefore, 67,492,384 rounded to the nearest million is 68,000,000.
How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm
Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.
Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)
Answer:
24 cubes
Step-by-step explanation:
Please see the pictures below:
(I hope this helped! :) )
Please help me and please use substitution
4x - y = 18
-8x – 2y = 4
Write the equation in function form
6y - 4x = 24
Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
The inequality of the graph
Answer:
[tex]\displaystyle y > 4x - 2[/tex]
Step-by-step explanation:
Starting from the y-intercept of [tex]\displaystyle [0, -2],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks south over one block west or four blocks north over one block east [west and south are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be less than and greater than since this is a dashed line graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:
Greater than
[tex]\displaystyle 0 > 4[0] - 2 → 0 > -2[/tex]☑
Less than
[tex]\displaystyle 0 < 4[0] - 2 → 0 ≮ -2[/tex]
This graph is shaded in the portion of the origin, so you would choose the greater than inequality symbol to get this inequality:
[tex]\displaystyle y > 4x - 2[/tex]
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Evaluate the given algebraic expression for x = 7 and y = 3. 2x + 2y 10 20 23 15
Answer: 20
Step-by-step explanation:
x = 7
y = 3
2x + 2y = 2(x + y)
2(7+3) = 2 • 10 = 20
Answer:
20
Step-by-step explanation:
2(7) + 2(3)
14 + 6
20
John has $8 in his bank account when he gets a job. He begins making $80 a day. A student found that
the equation that represents this situation is y = 8x + 80.
What is wrong with the student's equation? Complete the explanation and correct the student's error.
Answer:
y = 8 + 80x
Step-by-step explanation:
Given,
The equation is, y = 8x + 80
It is the wrong equation. Because John has $8 in his bank when he gets a job. It means it is fixed. On the other hand, since he begins earning $80 per day. It becomes variable earnings for him. We know that variables (x, y, z) are multiplied by the variable number (If there is no value for variables). Therefore, the equation will be =
As $8 is fixed and $80 is a variable earnings,
y = 8 + 80x
Here, x represents the number of days John will work. If he works for 20 days, the value will be changed for the number of days he earns. The fixed amount will never be changed.
Which ordered pair is a solution of the equation? X+7y=17
Answer:
Both (10,1) and (-4,3)
Step-by-step explanation:
No need but hope it helps:D
Answer:
C
Step-by-step explanation:
if it is on khan this answer is right
Amanda wants to know if the teenagers in her town like a new Friday night bowling event.
Answer:
C
Step-by-step explanation:
Answer choice A and B are biased towards No answers because they point out flaws with the event. Choice D is not biased because it doesn't discuss good or bad aspects of the event.
As per the question the teenagers in Amanda's town like to watch the bowling event every new Friday night.
This can be known by sentence C that states that you like the new Friday night bowling event with free snacks and lives music. As this response is most likely to trigger a yes.Hence the option C is correct.
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what is the relationship between angle 1 and angle 5
Answer:
○ b Corresponding Angles
Step-by-step explanation:
These two angles are a mirror, so they correspond.
I am joyous to assist you anytime.
Angle 1 and angle 5 are alternate interior angles with the same measure.
Explanation:Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.
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what is the square root of 25/64
The value of square root of 25/64 will be;
⇒ 5/8
What is square root of a number?A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The number is,
⇒ square root of 25/64
⇒ √(25 / 64)
Now,
Since, The number is,
⇒ √25/64
⇒ √ (5×5 / 8×8)
⇒ 5 / 8
Thus, The value of √ 25/64 = 5/8
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2/5(10x+15)=26 solve for x
Answer:
x=5
Step-by-step explanation:
2/5(10x+15)=26
10x+15=26/(2/5)
10x+15=(26/1)(5/2)
10x+15=130/2
10x+15=65
10x=65-15
10x=50
x=50/10
x=5
Answer:
x=5
Step-by-step explanation:
a buyer spend $164 for two loads of mulch at $22.50 per load $35 worth of flowers and 42 landscaping blocks. fine the cost per block
Answer:
The cost per block was about 45$
Step-by-step explanation:
I think so, but dont believe it... I may be wrong. Please mark me brainliest
The buyer spent $2 per landscaping block.
Explanation:Firstly, we need to find out how much money was spent on the landscaping blocks. Given that the buyer spent $164 for two loads of mulch at $22.50 per load and $35 worth of flowers, subtract the total cost of the mulch and flowers from the total amount spent. This gives us:
($22.50 x 2) + $35 =$80 spent on mulch and flowers. Therefore, $164 - $80 = $84 spent on landscaping blocks.
Finally, find the cost per block, by dividing the total amount spent on blocks by the number of blocks. So, $84 / 42 blocks = $2 per block.
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The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?
A) 8.8 × 1015 kilograms
B) 8.8 × 1016 kilograms
C) 9.2 × 1014 kilograms
Eliminate
D) 9.2 × 1015 kilograms
A) 8.8 × 10^15 kilograms is the right answer
Step-by-step explanation:
Given
Mass of Phobos = [tex]10.8 * 10^{15}\ kg[/tex]
Mass of Deimos = [tex]2.0 * 10^{15}\ kg[/tex]
In order to find how greater is the mass of Phobos from Deimos, the smaller mass will be subtracted from the larger mass
So,
[tex]= 10.8*10^{15} - (2.0*10^{15})[/tex]
As the exponents are same, the numbers can be subtracted directly
[tex]=(10.8-2.0) * 10^{15}\\= 8.8*10^{15}\ kg[/tex]
Hence,
A) 8.8 × 10^15 kilograms is the right answer
Keywords: Exponents, Addition
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2.5 \dfrac{\text{g}}{\text{cm}^3}2.5 cm 3 g 2, point, 5, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction.
Answer:
bojdsvj
Step-by-step explanation:dvsDV
I sorry lol i need points :/
PLEASE HELP! I NEED TO GET THIS DONE SOON!
Given: Circle O, diameter, marked perpendicular, Chord BC= 10,
find x
Answer:6
Step-by-step explanation:
In a circle, a radius perpendicular to a chord bisects the chord. So BC = CA BC = 6 (given) x (or AC) = 6 Answer = 6. Tell me if I was right. Thanks.
Answer:
it's 6
Step-by-step explanation:
ABCD is a trapezoid with mid-segment (E f). If Ad=5x-11, E f=3x+7, Bc=2x+7, how many units in length is (E f) i need equation, algebra procedures, value of x, and length of (E f)
Answer:
x = 18
Step-by-step explanation:
The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:
((5x - 11) + (2x + 7)) /2 = 3x + 7
Simplify ((5x - 11) + (2x + 7)) /2:
(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2
Therefore:
(7x - 4) /2 = 3x + 7
Now solve this simultaneous equation:
7x - 4 = 6x + 14
7x = 6x + 18
x = 18
PLEASE PLEASE PLEASE ANSWER!!
Sarah wants to make a quilt that is 6 feet wide and 8 feet long. She is patching together 4- inch sided squares of fabric to make the quilt. How many patches of fabric will Sarah need?
A.) 120 patches
B.) 216 patches
C.) 432 patches
D.) 1,728 patches
Answer:
The answer is D brother
Step-by-step explanation:
First, convert the 6 by 8 into inches: 96 by 72 which equals 6912. Now take 6912 and divide it by 4 (for the individual squars) and you get: 1728
A = L x W
A= 8 x 6
A= 96 x 72
96 x 72 = 6912
6912 / 4" = 1728
If your teachers mean like mine, they make you write it out like this:)
Hope that clears it up:)
By taking the quotient between the area of the quilt and the area of a single patch, we will see that she needs 432 patches.
How many patches does she need?
To get this, we need to find the quotient between the surface area of the quilt and the area of a patch.
The quilt is 6ft by 8ft, then the area is:
A = 6ft*8ft = 48ft^2
Remember that:
1ft = 12 in
1ft^2 = (12 in)^2 = 144 in^2
Then the area in square inches is:
A = 48ft^2 = 48*(144 in^2) = 6,912 in^2
Now, the patches are squares of sidelength of 4 inches, then the area of each patch is:
a = (4 in)^2 = 16 in^2
The quotient between the areas gives:
A/a = (6,912 in^2)/(16 in^2) =432
This means that Sarah needs 432 patches, so the correct option is C.
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A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are
There are 47 dimes and 23 quarters.
Step-by-step explanation:
Total amount = $10.45 = 10.45*100 = 1045 cents
Total coins = 70
1 dime = 10 cents
1 quarter = 25 cents
Let,
Dimes = x
Quarters = y
According to given statement;
x+y=70 Eqn 1
10x+25y=1045 Eqn 2
Multiplying Eqn 1 by 10;
[tex]10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345[/tex]
Dividing both sides by 15;
[tex]\frac{15y}{15}=\frac{345}{15}\\y=23[/tex]
Putting y=23 in Eqn 1
[tex]x+23=70\\x=70-23\\x=47[/tex]
There are 47 dimes and 23 quarters.
Keywords: linear equations, subtraction
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Is (-3,2)(−3,2) a solution of -4x -10y < -9−4x−10y
Answer:
No
Step-by-step explanation:
-4(-3)-10(2)=-8
-9-4(-3)-10(2)=-17
-8>-17
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2. What elevation is Point E on Map 1? *
10 feet
30 feet
50 feet
70 feet
3. What elevation is Point F on Map 1? *
10 feet
30 feet
50 feet
70 feet
Answer:
2. 30 ft
3. 50 ft.
Step-by-step explanation:
2. The contour map of a place is shown in the diagram.
The point E is placed near to the 30 ft contour line.
Therefore, the elevation of the point E on the map is 30 ft. (Answer)
3. From the same contour map shown in the diagram, it is clear that,
The point F is placed near to the 50 ft contour line.
Therefore, the elevation of the point F on the map is 50 ft. (Answer)
What are the lengths of KN and KL.?
I think the answer is 90 degrees because both triangles are 90, but you're only finding KN and KL which is on ONE triangle not both. SO there's a 90 degree angle on the top triangle. So I'd go with 90, but I could be wrong.
you run 10 miles in 1 hour and 15 mintues keeping the same pance how long would it take to run 15miles
Answer:
1 hour and 30 minutes
Step-by-step explanation:
because it took an hour for 10 mile so add another five miles and it would take 30 minutes
Answer:
it would take you 1 hour and 30 mins
Step-by-step explanation:
it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30
Brian went shopping and spent $47 on jewelry. If he spent $67 total, what percentage did he spend on jewelry? Round your answer to the nearest percent.
Brian spent 70% of his money on jewelry.
Step-by-step explanation:
Given,
Amount spent on jewelry = $47
Total amount spent = $67
Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]
[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]
Rounding to nearest whole number.
Percentage of jewelry = 70%
Brian spent 70% of his money on jewelry.
Keywords: percentage, division
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