Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.Step-by-step explanation:
good morningIf the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change of the function.
b is the intercept, representing the value of y when x = 0.
When two lines are parallel, they have the same slope.
Hence, If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
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complete question:
In the graph shown below, if lines l 1 l 1 and l 2 l 2 are parallel, then the slope of line l 2 l 2 is
-3(-7 - x) = 1/2(x + 2)
Solve the equation
Answer/explanation:
X=-8
A sphere which has a diameter of 6 inches has a volume of:
Answer:
The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 113 cubic inches.
Step-by-step explanation:
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The volume of the given sphere is 113.04in³
How to find the voluume of the sphere?The volume of a sphere of radius R is given by the formula:
V = (4/3)*3.14*R³
Here we know that the diameter is 6 inches, and the radius is half of that, then the radius is:
R = 6in/2 = 3in
Replacing that in the formula we will get:
V = (4/3)*3.14(3in)³
V = 113.04in³
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carlos montado was born on saturday, november $9$, $2002$. on what day of the week will carlos be $706$ days old? (spell out the entire day of the week.)
When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
Given,
Carlos born on November 9 2002 which was Saturday
We know,
1 week = 7 days
100 week = 700 days
The 700th day will be Saturday. because the days will repeat every 7 days
707th day will be Saturday, therefore
706th day will be Friday
Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
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Find the Volume of the cylinder
[tex]\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}[/tex]
Volume of cylinder B is greater.For Cylinder A :-[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}[/tex]
[tex]\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}[/tex]
For Cylinder B:-[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it.
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}[/tex]
[tex]\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}[/tex]
By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.━━━━━━━━━━━━━━━━━━━━━━━━━━
The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION
Answer:
15:10
Step-by-step explanation:
consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10
Convert 3/4 to a percent. 3/4=_%
Answer:
75%
Step-by-step explanation:
4.SEP Use Mathematics
The force of
gravity on the moon is only 16.6% the force
of gravity on Earth. For each item listed in the
table below, fill in what its weight would be on
The complete table is given below:
ITEM W(E) W(M)
Apple 150 g 25 g
Hammer 1.5 lbs 0.25 lbs
Person 180 lbs 30 lbs
Blue whale 200 tons 33.3 tons
Here, we are given that the force of gravity on the moon is only 16.6% the force of gravity on Earth.
This means that for an object of mass 'm' -
F(M) = 16.6% of F(E)
This means that a person would weigh six times less on the moon than they do on Earth
W(moon) = [W(earth)]/6
Thus, we can complete the table as follows-
ITEM W(E) W(M)
Apple 150 g 1/6 x 150 = 25 g
Hammer 1.5 lbs 1/6 x 1.5 = 0.25 lbs
Person 180 lbs 1/6 x 180 = 30 lbs
Blue whale 200 tons 1/6 x 200 = 33.3 tons
Hence, the complete table is given above.
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Your question was incomplete. Check for the missing table below.
Which one is it please help
Answer:
its 4+(-10)
Step-by-step explanation:
Javier wants to go to the movies. He has some money saved but does not want to use all his savings on a movie
ticket. Javier’s mother offers to pay some of the cost of the ticket for every pound of potatoes he peels for her.
The graph shows the cost to Javier for the purchase of the movie ticket after peeling x pounds of potatoes for
his mother.
Answer:
1. true 2. false 3. true 4. false 5. false
Step-by-step explanation:
yurr
1. Order the numbers from least to greatest. 66 V21, 5.38 3
Answer:
3, 5.38, 66, V21
Step-by-step explanation:
I assumed that V was the roman numeral V, which is equivalent to the number 5. I then multiplied 5 by 21 which is 105. If this is not the case and they simply wanted us to replace the v with a 5, then the answer would still be correct because 521 is greater than all the numbers in this set. Hope this helps.
Find the GCF of 6 and 18.
The GCF is 3.
The GCF is 2.
There is no GCF.
The GCF is 6.
Answer:
The GCF is 6
Step-by-step explanation:
Answer:
The GCF of 6 and 18 = 6
Step-by-step explanation:
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Im happy to help :]
help if you can dont answer if you dont know please
Answer:
Area of the shaded region 85 square inches
Step-by-step explanation:
10(width)x8(height)=80
Triangle on the right= (8x5)/2=20
Triangle on the left=(8x5)/2=20
Both triangles' area=40
80+40=120
Not shaded area=5x7=35
120-35=85
Which expression is equivalent to (3x−2)(x+6)
Answer: 3x^2+16x-12
Step-by-step explanation:
how to do 3(x-2)= -6
Answer:
3×x -3×2=-6
or,3x-6=-6
or,3x=-6+6
or,x=0/3
therefore=x =1 answer
Answer:
x = 0
Step-by-step explanation:
Distribute the left side
3(x-2) = -6
3x-6 = -6
Add 6 to both sides
3x = 0
Divide both sides by 3
x = 0/3
x = 0
Given the equation 5x - 7 = 18. What is
the first step in solving this equation?
Adding 7 to both sides.
Subtracting 5 from both sides.
Subtracting 7 from both sides.
Dividing by 5 on both sides.
Answer:
The answer is adding 7 to both sides.
Step-by-step explanation:
5x-7=18
+7 +7
5x= 25
x=5
Answer:
Answer: Adding 7 to both sides.
Step-by-step explanation:
You always do the "inverse" of the number without the variable next to it and either "add" or "subtract" it to the other side.
Ex: 7x - 3 = 18
In this case, you would add the 3 to the other side.
7x - 3 = 18
+ 3 +3
7x = 21
7x 7x
x = 3
If segment RS has endpoint R(-4,-6) and midpoint M(3,-4) what is point S
Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
How to determine the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3 = (-4 + x₂)/2
Cross-multiplying, we have:
6 = -4 + x₂
x₂ = 6 + 4
x₂ of S = 10.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
3 = (-6 + y₂)/2
Cross-multiplying, we have:
6 = -6 + y₂
y₂ = 6 + 6
y₂ of S = 12.
Therefore, point S is equal to (10, 12).
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Write the slope-intercept form of the equation of the line described. Do not include any spaces.
Through (-4,-2) and parallel to y=x+5.
Answer:
Y = 0x + b
2 = 0 + b, b = 2
Y = 2
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y-y1=m(x-x1)
y-(-2)=1(x-(-4))
y+2=x+4
y=x+4-2
y=x+2
Parallel lines have same slopes.
What is the sum of the first 50 terms in the arithmetic sequence 5, 8, 11, 14,...?
Answer:
3925
Step-by-step explanation:
We can use the formula [tex]an=a1+(n-1)d[/tex] to find 50th term where:
[tex]an[/tex] is the nth term in the sequence
[tex]a1[/tex] is the first term in the sequence
[tex]d[/tex] is common difference between terms
[tex]5+(50-1)*3=152[/tex]
We also use the formula [tex]Sn=n*(a1+an/2)[/tex] to find the sum
[tex]50*(\frac{5+152}{2})=3925[/tex]
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Answer:
The answer is C
Step-by-step explanation:
What is 70%, percent of 20?
Answer:
14
Step-by-step explanation:
math
Answer:
14
Step-by-step explanation:
Play Prodigy
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Soap
Week of 09/5/22 Probability Review/Unit Test...
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The company Sea Esta has ten members on its board of directors. In how many different ways can it
elect a president, vice-president, secretary and treasurer?
there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.
Total members = 10
number of positions = 4
Now, we will use permutations.
So, we get that:
Number of ways = 10 × 9 × 8 × 7
Number of ways = 90 × 56
Number of ways = 5040 ways
Therefore, we get that, there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.
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4 roll of toilet paper for $2. how much is the cost per roll
Answer:
$0.50
Step-by-step explanation:
2/4=0.5
Answer:
50 cents per roll
Step-by-step explanation:
$2 / 4rolls
2 / 4
2 ÷ 4 = 0.5
50 cents /roll
Garden soil costs $5.00 per a 2 cubic foot bag at lows. You have raised rectangular garden thag is 8 feet by 4 feet and you wish the depth of the soil to be 6 inches deep. How much will it cost to buy the bags of soul for your garden
Answer:
$40
Step-by-step explanation:
Step one:
given data
Garden soil costs $5.00 per a 2 cubic foot bag
dimension of rectangular garden raised
8 feet by 4 feet , depth is 6 in
6 in to feet= 0.5ft
the volume of the soil in the garden is
volume= 8*4*0.5= 16ft^3
Step two:
now if 2ft^3 cost $5
16ft^3 will cost x
cross multiply
x*2=16*5
divide both sides by 2
x= 16*5/2
x=80/2
x=$40
Elisa withdrew $27 at a time from her bank account and withdrew a total of $216. frances withdrew $46 at a time from his bank account and withdrew a total of $184. who made the greater number of withdrawals?
Using the concept of division we can find the number of times Elisa and Frances withdraw the money.
What is division?Division is one of fundamental mathematical operations, which breaks a bigger number into smaller groups with the same number of components.
The amount withdrawn by Elisa at a time =$27 The amount withdrawn by Elisa in total =$216
The number of times Elisa withdrew
=[tex]\frac{total amount withdrawn}{amount withdrawn per time}[/tex]
=[tex]\frac{216}{27}[/tex]
=8
The amount withdrawn by Frances each time=$46
The amount withdrawn by Frances in total=$184
The number of times Frances withdrew
=[tex]\frac{total amount withdrawn}{amount withdrawn per time}[/tex]
=[tex]\frac{184}{46}[/tex]
=4
The number of times Elisa withdrew is 8 while the number of times Frances withdrew is 4.This implies Elisa has made withdrawals than Frances.
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creepiest joke get brainiest or whateves results in about 10 minuets after it starts good luck
Answer:
what does a pokemon do when your in the shower
Step-by-step explanation:
pikachu
Answer:
A woman is walking through the woods at night with a serial killer.
She says to her companion, "Man, this forest is really creepy at night. I wish we weren't out here."
He replies, "You think you have it bad? I have to walk home alone!"
John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tree? Find your answer to the nearest tenth
Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
Given the angle = Ф = 38⁰Adjacent = a = 5 ftOpposite = b = 20 ftHypotenuse = Tree length = c ?Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:
[tex]\:c=\sqrt{a^2+b^2}[/tex]
substituting a=5, b=20
[tex]c=\sqrt{5^2+20^2}[/tex]
[tex]c=5\sqrt{17}[/tex]
[tex]c=20.6[/tex] ft
Thus, the tree is 20.6 ft tall.
If 6 1/2 is the lesser number in an inequality, which statement is true about the other number in the inequality? A. The other number is located to the left of 6 1/2 on the horizontal number line. B. The other number is located above 6 1/2 on the vertical number line. C. On the horizontal number line, 6 1/2 is located to the right of the other number. D. on The vertical number line, 6 1/2 is located above the other number.
Answer:
B. The other number is located above 6 1/2 on the vertical number line.
Step-by-step explanation:
Given
[tex]Lesser\ Number = 6\frac{1}{2}[/tex]
Let the other number be n such that:
[tex]n > 6\frac{1}{2}[/tex]
On a horizontal number line; number increases from left to right.
This means that n will be at the right and [tex]6\frac{1}{2}[/tex] will be at the left
Or
On a vertical number line; number increases from bottom to top.
This means that n will be at the top and [tex]6\frac{1}{2}[/tex] will be at the bottom
From the list of given options, option B is correct.
What expression is equivalent to 5 x 18
Answer: 10x36
Step-by-step explanation: 5x18 multiply by 2 and 2. 5 times 2 is 10 and 18 times 2 is 36.
Consider the matrix. What is |j| ?
Answer:
- 28
Step-by-step explanation:
Determinant of matrix J is
- 2(5) - 3(6) = - 28
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Accelerated 7th-grade math! Help!