Answer:
D. The quotient of the coordinates will be a coefficient in the equation.
Step-by-step explanation:
Given a line through (0,0) and (4,7)
the slope of the line is m = (7-0) / (4-0) = 7/4
The equation of the line is
y = mx
Therefore
The quotient of the coordinates will be a coefficient in the equation.
Answer:
D
Step-by-step explanation:
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "101.37 yd"
Step-by-step explanation:
In the given question an attachment file is missing. so, we attached the file and calculates its value:
Use formula:
[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]
In the above-given equation we assume c is the third side:
[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]
c = 101.37 yd
Help me ASAP for this question? Estimate 48% of $33.95. $18 $20 $16
$17
Answer:
$16
Step-by-step explanation:
0.48 x 33.95 = 16.296
Answer:
Hey there!
48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.
Hope this helps :)
Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
Answer:
y = 18.25
Step-by-step explanation:
The 2-point form of the equation of a line can be used to write the equation of the line through the given points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-2 -7)/(3 -(-1))(x -(-1)) +7
y = -9/4(x +1) +7
For x = -6 this evaluates to ...
y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7
y = 18 1/4
Can someone please help me with this question
Answer:
54
Step-by-step explanation:
A sample of 353 people is surveyed. The people are classified according to political affiliation ("Democrat", "Republican", or "Independent"). They are also
classified according to opinion on a bill ("in favor of", "opposed to", or "indifferent to"). The results are given in the contingency table below.
In favor of
Opposed to
Indifferent to
Democrat
37
33
47
Republican
29
49
35
Independent
41
41
41
What is the relative frequency of respondents who are Republican?
Round your answer to two decimal places.
Х
?
Answer:
[tex]Relative\ Frequency = 0.32[/tex]
Step-by-step explanation:
Given
The table in the attached diagram
Total population of the survey = 353
Required
Relative frequency of respondents who are Republican
First we consider the data in the republican row; this is presented as follows;
Republican: 29 ------ 49 ----- 35
Next, we add up this data to give the total number of respondents who are republicans
Republicans = 29 + 49 + 35
Republican = 113
Recall that
Total population of the survey = 353
The relative frequency is calculated as follow;
[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]
[tex]Relative\ Frequency = \frac{113}{353}[/tex]
[tex]Relative\ Frequency = 0.3201133145[/tex]
[tex]Relative\ Frequency = 0.32[/tex] (Approximated)
The exponent on b when b^3 is multiplied by b^3 is
Answer:
6.
Step-by-step explanation:
When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.
Hope this helps!
Answer:
6
Step-by-step explanation:
b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶
hence the exponent is 6
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answer: i think the answer is 1.5
Step-by-step explanation:
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
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At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.
Answer: 3/2
Step-by-step explanation:
Hi, to answer this question we have to write the next expressions::
Height 1= 8 +12 y
Height 2 =5 +14y
Where y = number of years
Since both heights must be the same
Height 1 = height 2
8+12y = 5+14y
solving for y:
8-5 =14y-12y
3 = 2y
3/2 =y
y = 3/2 years
Feel free to ask for more if needed or if you did not understand something.
8 + 12y = 5 + 14y
12y + 8 = 14y + 5
12y + 8 - 8 = 14y + 5 - 8
12y = 14y - 3
12y - 14y = 14y - 3 - 14y
-2y = -3
(-2y)/-2 = -3/-2
y = 3/2
Does anyone know this need help
Answer:
32 m
Step-by-step explanation:
The distance across the river is give as x and we are interested in finding the value of x.
Both the triangles are similar by AA Postulate.
Therefore,
20/x = 10/16 (by c.s.s.t.)
2/x = 1/16
x = 16*2
x = 32 m
Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4
x=
y=
thank you!
Answer: x= 3/2 and y= 1/2
Step-by-step explanation:
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x=6
x=6/4=3/2
Plug in x into any one of the given equations to find the value of y:
y=-x+2
y= - (3/2)+2
y= - (3/2)+4/2
y= 1/2
Hope this helps!
The solution to the system of equations will be x= 3/2 and y= 1/2.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given equations are y=−x+2 and y=3x−4 to calculate the values of x and y using the substitution method.
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x =6
x =6/4=3/2
Plug x into any one of the given equations to find the value of y:
y =-x+2
Solve for the value of y.
y = - (3/2)+2
y = - (3/2)+4/2
y = 1/2
Hence, the solution for the equation will be x= 3/2 and y= 1/2.
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A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle?
Answer:
The width is 4 inches
Step-by-step explanation:
Represent the length and width by L and W respectively. Then L = W + 1.
According to the Pythagorean Theorem, the diagonal length is
D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.
Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.
Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0. Then W - 4 = 0, and W (the width) is 4. Then L = 5.
The width is 4 inches.
how would you solve this problem?
Answer:
a) 6x²/2x³-4
b) [tex]2ln (2x^3-4)+ C[/tex]
Step-by-step explanation:
a) Given the ln(2x³-4). We will use the chain rule in differentiating the function
If y = ln(2x³-4);
u = 2x³-4; du/dx = 3(2)x³⁻¹
du/dx = 6x²
y = ln u; dy/du = 1/u
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/u * 6x²
dy/dx = 1/2x³-4 * 6x²
dy/dx = 6x²/2x³-4
Hence, the derivative of the given function is 6x²/2x³-4
b) Given an integral function [tex]\int\limits {\frac{12x^2}{2x^3-4} } \, dx[/tex], the integral problem can be solved using integration by substitution method as shown below;
From the question, let y = 2x³-4... 1, dy/dx = 6x²
dx = dy/6x² ... 2
Substituting equation 1 and 2 into the question given;
[tex]\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C[/tex]
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time? PLZ EXPLAIN IT VERY SIMPLE
Answer:
Andy
Step-by-step explanation:
Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.
Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.
Answer:
Andy
Step-by-step explanation:
Please see attached picture for full solution.
Use substitution to determine if the solution is correct (PINK HIGHLIGHTED ONE!!!)
Answer:
It is not correct.
Step-by-step explanation:
If you plug 4 in for x, you get -2*4+5=13. This simplifies to: -8+5=13. This is an untrue statement since -8+5 is actually -3, not 13.
Hope this is helpful! :)
Answer:
undefined
Step-by-step explanation:
So with the following equation,
-2x + 5 = 13
we plug in 4 for x
-2(4) + 5 = 13
-2 * 4 = -8
-8 + 5 = 13
-8 + 5
-3 = 13
-3 is not 13 so it is undefined
Thus,
the answer is undefined.
Hope this helps :)
IV
What is the range of the function on the graph?
5
4+
3+
all real numbers
O all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
2+
1 +
-5 4 -3 -2 -11
1 2 3 4 5 X
h
-27
-37
I
-4
-5
What is x - ( -8) = 1 and what is x - ( -13) = 17?
Answer:
x - ( -8) = 1; x = -7
x - ( -13) = 17; x =
Step-by-step explanation:
x - ( -8) = 1 = x + 8 = 1
x = -7
x - ( -13) = 17 = x + 13 = 17
x = 4
Answer:
see below
Step-by-step explanation:
x - ( -8) = 1
Subtracting a negative is like adding
x+8 =1
Subtract 8 from each side
x+8-8= 1-8
x=-7
x - ( -13) = 17
Subtracting a negative is like adding
x+13 =17
Subtract 13 from each side
x+13-13= 17-13
x=4
Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount
Answer:
E. lower principal amount
Step-by-step explanation:
We can use an example to show how this works:
You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.
If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.
Instead, if you make a 20% down payment, your initial principal = $16,000, and your monthly payment will be $339.95, your total payments = $20,397.16 and the total interests = $4,397.16.
Answer:
E. lower principal amount
which sentence is represented by this algebraic equation "X/2-3=15"
Answer:
A
Step-by-step explanation:
The correct answer is A.
"3 less than" represents -3
"half of x" represents x/2
"is 15" represents =15
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
Help me please need help gonna fail sos
Answer:
235
Step-by-step explanation:
We have ED is 95.
We can find EC by 180-40 = 140
So DEC = 95+140=235
Answer:
236
Step-by-step explanation:
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?
Which expression is equivalent to 15 (n+3/n) ?
£
N=10
Answer:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
Step-by-step explanation:
Given expression : [tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
Solving further:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
[tex]\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So,[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So, Option A is true
Hence the given expression is equivalent to Option A
Answer:
a
Step-by-step explanation:
edg 21 ^u^
A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C
Answer:
The height of the cylinder in 2x units
The area of the cylinder's base is not square units.
Step-by-step explanation:
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate D
Step-by-step explanation:
What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
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Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Answer:
3c-8
Step-by-step explanation:
compare -5/6 _ -3/7 choose from 1) > 2)
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation: