Answer:
840cm^3
Step-by-step explanation:
Write the numbers in order from least to greatest. 0.3.0.5.-1.6.-1.35
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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What is the slope and y intercept of this line? y = -4x + 7
2. Write the matching multiplication fact. 7 + 7 + 7
Answer:
3x7
Step-by-step explanation:
7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21
Which statement best describes the area of Triangle ABC shown below?
A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 5, vertex B is on ordered pair 5 and 2, and the vertex C is on ordered pair 3 and 2.
(5 points)
Group of answer choices
It is twice the area of a rectangle with sides 2 units × 3 units.
It is one-half the area of a rectangle with sides 2 units × 3 units.
It is twice the area of a square of side length 3 units.
It is one-half the area of a square of side length 3 units.
Answer: It is one-half the area of a rectangle with sides 2 units × 3 units.
It is twice the area of a square of side length 3 units.
It is one-half the area of a square of side length 3 units.
Step-by-step explanation:
Answer:
It is one-half the area of a rectangle with sides 2 units × 3 units.
Step-by-step explanation:
because the base of the triangle is connected in the "quadrilateral way" the base is one-half the rectangle and the units are 2x3 so therefore that answer is the correct one.
In order of operation plsss help 10/5 + 3 x 5 - 5
Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467 they're both right.
Answer:
Both are right
Step-by-step explanation:
As maya say 4 hundreds in 5,467
this is right because the place value of 4 in 5467 is 4 hundreds = 400.
but Jenny says 54 hundreds in 5,467
this also correct because number 5467 in word is five thousand four hundred and sixty seven
54 hundreds = 54 × 100 = 5400
as here place value of 5 is 5000 and place value of 4 is 400
so, Addition of both gives = 5000 + 400 = 5400
If we divide 5400 by 100, we would have 54
It shows that there are 54 hundreds
so, Both are right
Calvin is making a special cocktail for 124 guests. Each cocktail calls for 0.5 fluid ounces of Becherovka, which is purchased in 750-milliliter bottles. Due to the nature of the event, Calvin expects that each guest will have approximately 6 cocktails. If Becherovka comes in 12 bottles to a case, and each case costs
$189.43, what is the beverage cost per guest?
9514 1404 393
Answer:
$1.87 per guest for quantity used
$1.91 per guest for whole bottles used
$3.06 per guest for whole cases used
Step-by-step explanation:
The cost of the beverage is ...
($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL
Each guest consumes 6 cocktails of 0.5 floz each, so ...
(6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest
Then the cost per guest is ...
($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest
The cost per guest for the amount used is about $1.87.
__
The total amount of drink used for all guests is ...
124(88.7205 mL/guest) ≈ 11,001.4 mL
At 750 mL per bottle, this is ...
(11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles
If you're constrained to pay for 15 bottles, then the cost per guest is ...
$189.43(15/12)/124 = $1.91 per guest
__
At 12 bottles per case, this is ...
(14.7 bottles)/(12 bottles/case) ≈ 1.2 cases
If you're constrained to pay for 2 cases, then the cost per guest is ...
$189.43(2)/124 = $3.06 per guest
16) What is the probability of guessing
the correct answer to a multiple
choice question if there are 5
choices?
Answer:
wrong
Step-by-step explanation:
go to my crib and eat his pickles
Which whole numbers could be part of the solution set for the inequality below?
Prove your answers.
X + 2 > 8
Answer:
6
Step-by-step explanation:
8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest
how do you solve 4( 1 - x) + 3x = -2x -2
Answer:
x=6
Step-by-step explanation:
Y multiplied by 2 1/2
Answer:
a-2 / a - 1
Step-by-step explanation:
Answer: 2 1/2y
Step-by-step explanation:
This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)
15 = -5x + 10
X =
Pls hurry
Answer:
[tex]15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{ 5}{ - 5} \\ x = - 1 \\ thank \: you[/tex]
Am really bad at math please answer
Answer: No
Step-by-step explanation:
you just gotta keep trying and ill help u
1. 6/7
2. 3/5 is already in its simplest form
3. 5 2/9
Choose >, <, or = to compare each pair of numbers
5.31 ______ 5.13
Answer:
>
Step-by-step explanation:
Answer:
5.31 > 5.13
Step-by-step explanation:
5.31 is greater than 5.13 as it is farther than 5.13 on the number line.
decide if each expression is equivalent to 2^6 or 4^4
Answer:
it's just asking if the expressions ( whatever those are) are equal to 2^6 (64) or 4^4 (256). I hoped this helped
Find the slope of the line that passes through the given point (-2, -4) and (-11, -7)
Answer:
Step-by-step explanation:
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]
If the radius of the circle is 3 cm, what is the measure of the longest chord?
A. 3 B. 6 C. 9 D. 12
9514 1404 393
Answer:
B. 6
Step-by-step explanation:
The longest chord of a circle is the diameter, twice the length of the radius.
2(3 cm) = 6 cm
Answer:
B. 6
Step-by-step explanation:
A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).
Hope this helps :)
Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, b, in m months?
b(m) = $125 + $22m
m(b) = $125b + $22
m(b) = $125 + $22b
b(m) = $125m + $22
Answer:
Step-by-step explanation:
b
Put these fractions in order of size
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
PLS HELP getting timed
Theo is baking a
recipe that makes 36
cookies with 2 cups of
sugar. At this rate, how
many cups of sugar
are needed to bake 18
cookies?
Answer:
26 bc it is equall
Step-by-step explanation:
Answer:
1 cup
Step-by-step explanation:
You divide 36 by 2 to see how many cookies can be made with 1 cup which is 18 so in this question its 1
2. Write the equation –3x + 5y = 10 in slope-intercept form.
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.
Answer:
Step-by-step explanation:
The middle three expressions are equivalent.
Answer:
The above answer is correct
hope it is helpful to you
GIVING BRAINLIEST AND 30 POINTS IF YOU ANSWER THESE ALL! TYSM :)
Answer:
2) 98/15 meters
21/5 + 7/3 = 63/15 + 35/15 = 98/15
3) 7/12 of the loaf
1/3 + 1/4 = 4/12 + 3/12 = 7/12
4) 19/8 inches
9/8 + 5/4 = 9/8 + 10/8 = 19/8
5) 73/6 cups
29/3 + 5/2 = 58/6 + 15/6 = 73/6
Let me know if this helps!
Find the 80th derivative of f(c)
ET
sin(2).
f(80)
Submit Question
Compute the first few derivatives to reveal a pattern:
f(x) = x sin(x)
f '(x) = x cos(x) + sin(x)
f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)
f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)
f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)
f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)
f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)
f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)
f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)
and so on.
The pattern should be clear: for some integer k,
• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)
• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)
• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)
• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)
80 is a multiple of 4, so the 80th derivative falls in the first category. Then
f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)
4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!!