Answer:
c
Step-by-step explanation:
I think
The points that could be on the line
y = 7x - 16 are (-2, -30)
-30 = 7 X -2 - 16
-30 = -14 - 16
-30 = -30
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line has a slope = 7 and passes through the point (3, 5).
Now,
The equation of a line can be written as,
y = mx + c
m = 7
y = 3x + c
Now,
(3, 5) = (x, y)
5 = 7 x 3 + c
5 = 21 + x
5 - 21 = c
c = -16
The equation of the line.
y = 7x - 16
The points that could be on the line have to satisfy the equation.
y = 7x - 16
A.
(-1, -24)
y = 7 x -1 - 16 = -7 - 16 = -23
This is not true
B.
(-2, -30)
y = 7 x -2 - 16 = -14 - 16 = -30
This is true.
C.
(6, 24)
y = 7 x 6 - 16 = 42 - 16 = 26
This is not true.
D.
(10,55)
y = 7 x 10 - 16 = 70 - 16 = 54
This is not true.
Thus,
The points that could be on the line
y = 7x - 16 are (-2, -30)
-30 = 7 X -2 - 16
-30 = -14 - 16
-30 = -30
Option B is the correct answer.
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(02.02)Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.) $______ per hour. I NEED HELP FAST!!
13.3 is the rate boom
A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group
earned $4,650. How many large boxes and how many small boxes of cookies were sold?
Answer:
900 large boxes were sold, and 750 small boxes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of large boxes of cookies sold.
y is the number of small boxes of cookies sold.
A total of 1,650 boxes of Girl Scout cookies were sold last week.
This means that
[tex]x + y = 1650[/tex]
So
[tex]x = 1650 - y[/tex]
Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.
This means that
[tex]3.5x + 2y = 4650[/tex]
Since [tex]x = 1650 - y[/tex]
[tex]3.5(1650 - y) + 2y = 4650[/tex]
[tex]5775 - 3.5y + 2y = 4650[/tex]
[tex]1.5y = 1125[/tex]
[tex]y = \frac{1125}{1.5}[/tex]
[tex]y = 750[/tex]
[tex]x = 1650 - y = 1650 - 750 = 900[/tex]
900 large boxes were sold, and 750 small boxes.
Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
ill give brainlest if correct
Answer:
d
Step-by-step explanation:
Given:
B=7 -3
5 -1
C=1 -1
13 -5
-=[=] -- [:s =]
Solve the equation:
2X + B = C
X=
Answer:
the question is incorrectly written. please rewrite the question.
What are the sine and cosine of 4pi/3?
Answer:
-0.479
Step-by-step explanation:
[tex]sin(cos(4 \frac{\pi}{3} ) = - sin( \frac{1}{2} ) = - 0.479[/tex]
Answer:
Answer is B : -1/2
Step-by-step explanation:
correct on edge
This is due soon help
A triangle has sides with lengths of 12 miles, 84 miles, and 85 miles. Is it a right triangle?
Answer:
[tex]\boxed {\boxed {\sf No}}[/tex]
Step-by-step explanation:
If a triangle is a right triangle, it can satisfy Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.
[tex]a= 12 \\b=84 \\c=85[/tex]
Substitute the values into the formula.
[tex](12)^2+(84)^2=(85)^2[/tex]
Solve the exponents.
12²= 12*12=14484²=84*84=7056 85²= 85*85=7225[tex]144+7056=7225[/tex]
Add on the right side.
[tex]7200\neq 7225[/tex]
7220 is not equal to 7225, so these sides cannot be a right triangle.
Write down a multiple of 8 that is between 20 and 50.
Answer:
24, 32, 40, or 48
Step-by-step explanation:
Count by 8.
8
16
24
32
40
48
56
The multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.
A multiple in math are the numbers you get when you multiply a certain number by an integer.
Here, multiples of 8 with 50 are
8, 16, 24, 32, 40, 48
So, the multiple of 8 between 20 and 50 are 24, 32, 40 and 48
Therefore, the multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.
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Solve the system by substitution. y = 6x – 20
y = -4x
Answer:
(2, -8)
Step-by-step explanation:
y=6x-20
y=-4x
since the bottom equation shows us that y=-4x, we can substitute 4x in place of y in the first equation and solve:
-4x=6x-20
-10x=-20
x=2
since the bottom equation shows y=-4x, and we already know that x=2:
y=-4(2)
y=-8
(2, -8)
For which value of x must the expression V59X be further simplified?
Lawrence has $50.
He wants to buy some T-shirts that cost $12 each.
He also wants to have at least $10 left to buy lunch.
Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?
A.
x ≤ 3
B.
x ≥ 3
C.
x ≤ 4
D.
x ≥ 4
HELP please!!!!!!!!!!!
Can someone help me with this? I literally cant think today. ;-; Thanks if you answer it correctly. ಥ‿ಥ
Answer:
The slope is 300
Step-by-step explanation:
Rise over run we see two points how many times do we rise and run to get there?
(Slope= rise/run)
So you rise 300 times (Since half of 600 is 300) then you run 1 time which is 300/1 which is 300
do (12 + 6) ÷ 2 and 12 + 6 ÷ 2 have the same answer? explain why. yall don't know the answer
Answer:
No
Step-by-step explanation:
Because the first problem has parenthesis that means you do what's in the parenthesis first but the second problem is just laid out so use PEMDAS.
So The 1st answer would be 9 and the 2nd 15.
Answer:
They do not have the same answer
Step-by-step explanation:
You have to use
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(12+6) ÷ 2 12 + 6 ÷ 2
18 ÷ 2 12 + 3
9 15
Hope that helps
breh so listen up
Why do girls, when starting a convo start with- "hey" usually
I mean I don't mind, but then when you try to bring spark they seem hella dry.
Example:
Girl - "Hey"
Boy - "Hey what's good?"
Girl - "Nm you?"
Boy - Pretty lit, when out with my boys recently. You go out places"
Girl - "eh id.k"
Boy *t.f? What she mean id.k....
Boy - "That's cool Quarentine sh.it anyway, you do anything to kill the time doe?"
Girl - "id.k"
Girls Message left on Read
No cap, I end it right there. If you dry, don't waste time. Lol who goes through this?
Stop starting them convos if you aint bout that game bro.
Answer:
either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo
Aiden is eating from the box of cereal
shown. Find the total surface area of the box.
cereal
13.5 in.
2.5 in.
8 in.
Total surface area?
Answer:
323.5 square inches
Step-by-step explanation:
The cereal box is not shown. However, the given details are enough to arrive at a solution
[tex]Length = 13.5in[/tex]
[tex]Width = 2.5in[/tex]
[tex]Height = 8in[/tex]
Required
The total surface area (TSA)
This is calculated as:
[tex]TSA = 2 * (Length * Width + Length * Height + Width * Height)[/tex]
[tex]TSA = 2 * (13.5 * 2.5 + 13.5 * 8 + 2.5 * 8)[/tex]
[tex]TSA = 2 * (161.75)[/tex]
[tex]TSA = 323.5[/tex]
Hence, the total surface area is 323.5 square inches
Describe the slope of the line.
-2
2
х
+2+(2, -3)
(-2, -3)
The slope is
Find the slope.
Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture
Step-by-step explanation: slope is the y values over the x values
hi I need help with my math
Step-by-step explanation:
heyy, what math do u need help with I can probably help
Answer:
bestie whats the question
Write the expression 16x + 28 as a product using the GCF(greatest common factor) as one of the factors
16x + 28 = ?(?x?)
Answer:
Ik this is late but the answer is 4(4x + 7)
Step-by-step explanation:
The expression by using the greatest common factor is 4(4x + 7).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 16x + 28. The expression by using the greatest common factor is calculated as,
E = 16x + 28
E = 4(4x + 7)
Therefore, the expression using the greatest common factor is 4(4x + 7).
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PLEASE HELP!
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field
to be 60 meters and the width to be 45 meters. What is the percent error of Diane's estimated
area measurement? Round your answer to the nearest whole percent.
Enter your answer in the space provided.
Answer:
9%
Step-by-step explanation:
Original area of the rectangle = length × width
= 62 × 48
= 2,976 m²
Diane area of the rectangle = length × width
= 60 × 45
= 2700 m²
Percent error = (original - estimated)/original × 100
= (2976 - 2700)/2976 × 100
= 276/2,976 × 100
= 0.0927419354838 × 100
= 9.2741935483870%
Approximately to the nearest whole percent = 9%
How do I Simplify 2/8
Answer:
1/4
Step-by-step explanation:
Divide 8 by 2
2/8 = 1/4
good luck, i hope this helps :)
Find the area of the following figure:
[tex]2688[/tex]
Step-by-step explanation:1) Simplify 2 × 8 to 16.
[tex]16 \times 12 \times 14[/tex]
2) Simplify 12 × 16 to 192.
[tex]192 \times 14[/tex]
3) Simplify.
[tex]2688[/tex]
So, therefor, the answer is, 2688.
Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is
HELPPPPP WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
slope, m=Δ y/ Δx or m= y₂-y₁/(x₂-x₁)
m=9-(-14)/(6-4)=23/2=11.5
find the slope of the line
Answer:
-1
Step-by-step explanation:
it goes down 1 per gain of 1 on the x axis
Answer:
-1
rise over run -2/2
slope is -1
Step-by-step explanation:
John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?
Answer:
John sells candy at the lowest price.
Step-by-step explanation:
If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.
condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A
Answer:
sin5A+sin3A=cos2A-cos6A
2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)
[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]
[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]
-1/2sinA=1
-1/2=sinA
sinA=sin(180+30),sin(330)
:.A=210,330
Maggie has half as many apple muffins as she does blueberry muffins. Let b represent the number of blueberry muffins Maggie has.
Create an expression to represent the number of apple muffins Maggie has. Move a number, a variable, and a symbol to the lines to create
the expression.
Answer: b/2
Step-by-step explanation:
From the question, we are informed that Maggie has half as many apple muffins as she does blueberry muffins where,
b = the number of blueberry muffins that Maggie has.
Therefore, an expression to represent the number of apple muffins Mmthat Maggie has will be:
= 1/2 × b.
= b/2
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest?
2 years
5 years
50 years
3.125
