determine the equation for the given information
point-slope form
y - y₁ = m(x - x₁)
[tex]y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5[/tex]
The answer is A) Choice A.
Which expression represents the quotient of (x^2-4)/(x-7)/(3x+6)/(x^2-6x+7)
Answer:
last option (x-2)(x+1)/3
Step-by-step explanation:
(x^2-4)/(x-7) ÷ (3x+6)/(x^2-6x+7)
(x^2-4)/(x-7) * (x^2-6x+7)/(3x+6)
(x+2)(x-2)/(x-7) * (x-7)(x+1)/3(x+2)
(x-2)/1 * (x+1)/3
(x-2)(x+1)/3
Lara took a total of 63 quizzes over the course of 7 weeks. How many weeks of school will Lara have to attend this quarter before she will have taken a total of 90 quizzes? Solve using unit rates.
weeks
Answer:
63 quizzes= 7 weeks
90 quizzes= x weeks
63x = (7)(90)
x= (7)(90)/63
x= 10 weeks
what is the lowest common multiple of 8,12,9
Answer:
LCM of 8, 9, and 12 is 72.
Step-by-step explanation:
The LCM of three non-zero integers, a(8), b(9), and c(12), is the smallest positive integer m(72) that is divisible by a(8), b(9), and c(12) without any remainder.
appreciate it if someone will follow me.
Answer:
72
Step-by-step explanation:
To find the Lowest Common Multiple (LCM), prime factorize the included terms, and multiply the factors of each number of the highest power together.
Prime factorizing
8 = 2³12 = 2² x 39 = 3²LCM (8, 12, 9)
= 2³ x 3²
= 8 x 9
= 72
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
=============================================================
Work Shown:
(23 pounds)/(46 dollars) = (x pounds)/(30 dollars)
23/46 = x/30
1/2 = x/30
1*30 = 2*x
30 = 2x
2x = 30
x = 30/2
x = 15
---------------
Another approach:
Divide the cost over the number of pounds to find the unit price
46/23 = 2
The onions cost $2 per pound.
If x is the number of pounds, and we pay $30, then
2x = 30
x = 30/2
x = 15
Meaning 15 pounds of onions cost $30.
A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?
The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.
What is the probability of determining that exactly four students were born on a weekday?To determine the probability, we need to first find the probability of having a student being born on a weekday.
[tex]=\mathbf{\dfrac{5}{7}}[/tex]
The probability of having 4 students born on a weekday is:
[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]
Since we have 4 students, we also need to find the probability of the students that are not being born, which is:
[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]
Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.
Therefore, we have the probability as:
[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]
P = 0.2125
Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.
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what is the surface area of the sphere
Answer:The answer iis 1810.3cm^2
Step-by-step explanation:
Question :-
What is the surface area of the sphere that has a radius of 12 cm?Answer :-
The surface area of the sphere is 1809 cm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]
Therefore :-
The surface area of the sphere is 1809 cm².[tex]\\[/tex]
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Have a great day! <33
10. Find the standard equation of the circle having the given center and radius.
Answer:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (3, 5) and r = , hence
(x - 3)² + (y - 5)² = ( )², that is
(x - 3)² + (y - 5)² = ← equation of circle
Step-by-step explanation:
emergencyyy
Write the given expression in the form f(x)= a(x– h)? +k. Identify the vertex.
f(x) = 2x² - 16x-5
Answer:
vertex = (4, - 37 )
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = 2x² - 16x - 5 ← factor 2 out of the first 2 terms
= 2(x² - 8x) - 5
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
f(x) = 2(x² + 2(- 4)x + 16 - 16) - 5
= 2(x - 4)² - 32 - 5
= 2(x - 4)² - 37 ← in vertex form
with vertex = (4, - 37 )
if x-2y=10 and x≠0, what is the value of 2x/y+5
Answer: 4
Step-by-step explanation:
x - 2y =10
x = 10 + 2y
[tex]\frac{2x)}{y + 5}[/tex]
[tex]\frac{2(10+2y)}{y+5}[/tex]
[tex]\frac{20+4y}{y+5}[/tex]
[tex]\frac{4(5+y)}{y+5}[/tex] ... cancel like terms (y + 5)
= 4
line plots please help
Answer:
46 hours do the students play video games per week
An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression from the airplane to the runway
Answer:
Step-by-step explanation:
AB = altitude = 2.7 miles
BC = 8.3 miles
[tex]\sf tan \ \theta = \dfrac{opposite \ side \ of \ \theta}{adjacent \ side \ of \ \theta}\\\\Tan \ \theta = \dfrac{AB}{BC}=\dfrac{2.7}{8.3}\\\\Tan \ \theta = 0.33\\\\\theta = tan^{-1} \ 0.33[/tex]
[tex]\boxed{\theta = 18.3}[/tex]
what does the 0.3in the highlighted cell mean?
Answer:
it will be 30% in the highlighted cell
Step-by-step explanation:
hope this helps
Under her cell phone plan, Ella pays a flat cost of $37.50 per month and $5 per gigabyte. She wants to keep her bill at $59 per month. How many gigabytes of data can she use while staying within her budget?
The number of gigabytes of data can she use while staying within her budget should be less than 4.3 gigabytes.
What is a linear equation?Linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Under her cell phone plan, Ella pays a flat cost of $37.50 per month and $5 per gigabyte.
She wants to keep her bill at $59 per month.
Then the number of the gigabytes of data can she use while staying within her budget will be
Let x be the number of the gigabytes. Then the equation will be
5x + 37.5 < 59
5x < 21.5
x < 4.3
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Tata's age is 10 years younger than Kaka's age.
Three years from now, the sum of their ages
is 40 years. Tata's current age is
year.
a.12 b.15. c.22. d.25
help me -!
Answer:
c. 22
Step-by-step explanation:
Let x = Tata's age and y = Kaka's age.
x - 10 = y
x+3 + y+3 = 40
Now, we can substitute in x - 10 for y.
x + 3 + (x - 10) + 3 = 40
so 2x = 44
x = 22
Therefore, Tata's current age is 22.
HELP PLEAZE
ILL GIVE BRAINLIEST
Answer:
153.86 in²
Step-by-step explanation:
The area of a circle is:
A = π r²
Radius is just half of the diameter so r = 7.
Substitute 3.14 for π.
Restate the equation:
A = 3.14 x 7² = 3.14 x 49
A = 153.86
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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An equation for the line
Answer:
y=-1/3x
Step-by-step explanation:
if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom
What is 16 1/5 - 5 2/3?
Answer:
10.533
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Find the volume of the cylinder (3.14 for pi)
Answer:
The volume of the cylinder is equal to 70.65 cm³.
General Formulas and Concepts:
Geometry
Volume Formula [Cylinder]: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify given variables from diagram.
r = 3 cm
h = 2.5 cm
Step 2: Find Volume
[Volume Formula - Cylinder] Substitute in variables:∴ we found the volume of the cylinder to be 70.65 cm³.
---
Topic: Geometry
Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent because p(x) · p(y) = p(x and y). they are independent because p(x) p(y) = p(x and y). they are dependent because p(x) · p(y) = p(x and y). they are dependent because p(x) p(y) = p(x and y).
Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Researching this problem on the internet, the probabilities are given as follows:
[tex]P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}[/tex]
Hence:
[tex]P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)[/tex]
Hence the events are independent and the correct option is given by:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
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Maria bought an open-based pop-up net to put over the plates at the picnic to keep the bugs off of the food. a square pyramid. the square base is 16 inches by 16 inches and the pyramid has a height of 15 inches. how much space is there inside each empty pop-up net? 544 inches cubed 800 inches cubed 1,280 inches cubed 1,920 inches cubed
Based on the height of the pyramid and the dimensions of the square base, the space that Maria has inside the pop-up net is 1,280 in³.
How much space does Maria have?This can be found as the volume of a pyramid which is:
= (Length x Width x Height) / 3
Solving gives:
= (16 x 16 x 15) / 3
= 3,840 / 3
= 1,280 in³
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The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. what is the volume of the cube? 3 cubic feet 6 cubic feet 18 cubic feet 27 cubic feet
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
Volume of a pyramidThe formula for calculating the volume of a pyramid is expressed as:
V = Base area. * height/3
Since it is a cube with a volume of 9 cubic feet, the length of the cube will be:
l = ∛9
l = 2.08
Determine the volume of the pyramid
V = 9/3
V = 3 cubic feet
Hence the volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
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please please help. Will give brainliest
Solve for x, y, and z. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
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Answer:
28.27
Step-by-step explanation: used to do acellus too
What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.Solve and graph the inequality.
6 + x > 15
Answer:
x > 9
The graph is a half-plane. (All the points with their abscissa (their value on the x-axis) greater than 9
Step-by-step explanation:
6 +x > 15
x > 15 - 6
x > 9
Answer:
X>9
Step-by-step explanation:
the other guy has the graph
Calculate the surface area of the polyhedra
PLEASE HELP ME ASAP :(
Answer:
Step-by-step explanation:
Refer the attachment
Answer:
752.5 in³
Step-by-step explanation:
Volume of composite solidRectangular prism:
l = 10 in ; w = 7 in ; h = 8 in
[tex]\boxed{\text{Volume of rectangular prism=l*w*h}}[/tex]
= 10 * 7 * 8
= 560 in³
Half cylinder:
Diameter of the cylinder will be equal to the width of the rectangular prism.
r = 7/2 = 3.5 inches ; h = 10 in
[tex]\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}[/tex]
[tex]\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3[/tex]
Volume of composite figure = 560 - 192.5
= 752.5 in³