Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
f(-2)for the function f(x)=3x-1
Step-by-step explanation:
From what I know
3x-1=0
3*(-2)-1=0
-6-1=0
=-7.
I'm not sure but u can try it.
The value of f(-2) in this function is f(-2) = -7
To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.
First we multiply or divide, then add or subtract.
Resolutionf( x ) = 3x - 1
f(-2) = 3 · (-2) - 1
f(-2) = -6 - 1
f(-2) = -7
So, the alternative value is f(-2) = -7
I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.
day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477
what is the mean distance ling travels each day? show your work.
Answer:
221.16
Step-by-step explanation:
Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.
Answer:
189.57 miles per day.
Step-by-step explanation:
I took the test
A square has a perimeter of 64 yd. What is the length of each side?
[tex]\huge\sf\color{red}{Answer:}[/tex]
Formula:
To get the length of each side just divide it by 4.Lets solve : )
64 ÷ 4 = 16.So the answer would be [tex]\large\sf\color{red}{16}[/tex]
can someone help me with this problem? thank you!
Answer:
When 6x - 4 = 8, x = 2.
Step-by-step explanation:
6x - 4 = 8
Add 4 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Proof:
6x - 4 = 8
Substitute variable.
6(2) - 4 = 8
Multiply 6 and 2.
12 - 4 = 8
Subtract 4 from 12.
8 = 8
Answer:
x is 2
Step-by-step explanation:
Simplify equation
What happens to one side must happen to the other
Add 4 to both sides
This tells us 6x is 12
Divide both sides by 6
X is 2
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE
Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.
Which route is shorter for Maria?If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.
If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.
The difference is:
= 15 - 13
= 2 km
A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.
3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.
A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."
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Answer:
2KM
Step-by-step explanation:
The mean percent of childhood asthma prevalence in 43 cities is 2.25%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that σ= 1.27%.
The probability is
(Round to four decimal place)
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
What is Probability ?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For a Normal Distribution, the z-score formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
Here X is the mean and sigma is the standard deviation.
Mean of 2.25% = 2.25
The standard deviation of 1.27%, sigma = 1.27
For Sample 31 the value of the standard deviation is
s = 1.27/√31
s = 0.2442
Substituting the values
Z = ( 2.25 -1.27)/0.2442
Z = 1.8
the p-value from the graph of z and p = 0.9643
To determine value of probability greater than X is 1 - 0.9643 = 0.0357
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
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the surface area of a cylinder is 140 pie square feet, and its height is 9 feet. find its radius
Answer:
the radius is 2.02
Step-by-step explanation:
use the formula to solve the radius of a cylinder
no solution, one solution, or infinitely many solutions?
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
When does an equation have one solution, no solution or infinitely many solutions?A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.
A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term
A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.
Analysis:
8v + 3 -4v = 4v + 5-2
4v +3 = 4v+3
The equation has an infinitely many solutions
7v-11 = 7v+11
7v-7v = 11+11
0v = 22
The equation has no solution since the coefficient of the variable term is 0
3(v-4) = 2(v-6)
3v -12 = 2v - 12
v = 12-12 = 0
The equation has one solution
5(2v+3) -2 = 12v + 12-2v
10v+15-2 = 10v +12
0v = -1
The equation has no solution.
In conclusion,
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
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A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.
Answer:
c
Step-by-step explanation:
the -2 causes a shift 2 units right
Class A has 26 pupils and class B has 14 both classes sit the same maths test . The mean score for class A is 66 the mean score for both classes is 66. What is the mean score in maths test for class B
Answer:
66
Step-by-step explanation:
this is actually an almost trick question because it wants to confuse you!
Here's the trick
to work out a mean (average) you add all the components together then divide by the amount of groups.
but here they didn't give you components just the mean of the classes...both of them.
the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"
so this means that Class B's mean score is 66 too
hope this helps
Find the y-value when x = -5 for the equation y = -3x
Answer:
y=15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
1 pound is equivalent to ____ grams.
Answer:
1 pound is equivalent to 453.59237 Grams.
✎let's answer it :3
☟ answer
-> ( 453.59237 grams )
hope it helps
by #galadohannadivine29If Q, DE=FG. Which must be true? Select all that apply.
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.
I need help with area
The question 5 and 6
brainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z
Answer:
x = 90°
y = 40°
z = 40°
Explanation (Concepts) :
A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.
Workouts:
z + 90° + 50° = 180°
z = 180° - 90° - 50°
z = 40°
=================
x + 90° = 180°
x = 180° - 90°
x = 90°
==================
50° + 90° + y = 180°
y = 180° - 90° - 50°
y = 40°
Answer:
x = 90°y = 40°z = 40°Step-by-step explanation:
x = 90°
…………………
y = 90 - 50
= 40°
……………………………
z = 180 - (50 + 90)
= 180 - 140
= 40°
Omar keeps track of the number of people inside a music hall to attend a concert by
looking at the number of scanned tickets. He plotted the data on the graph below,
where z 0 represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x= 3
Answer:
Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/
Can someone help with number 4. I will reward brainliest.
Answer:
theta = pi/6 and
theta = 5pi/6
Step-by-step explanation:
see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.
Let's simplify the problem down a little:
⇒ set 'sin(θ)' as x
⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]
Now let's solve this equation as a quadratic:
[tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]
Now set the x value of '1/2', to sin(θ)
it can't be -3, because trig functions can't equal a negative numbersin(θ) = 1/2
θ = π/6, which is between the range given
Answer: π/6
Hope that helps!
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction
The probability of randomly selecting a tree or a flower is 8/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)
8/30 + 8/30 = 16/30 = 8/15
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answer the question below, will give brainliest to first answer
Answer:
deductive reasoning
Step-by-step explanation:
it is based on what is true based on what happened before
Answer:
2 option, deductive reasoning
Step-by-step explanation:
based on true events
Use the diagram to answer the question
Step-by-step explanation:
cos(a) = 1/2 or 0.5
that means a = 60°
the cosine value is the x coordinate, the sine value the y coordinate.
so, only an answer with 1/2 as x coordinate can be right.
and therefore, the 4th answer (bottom right) is correct.
Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.
A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
Each part of the whole fraction bar is equal to one-seventh.
The shaded portion of the fraction bar represents a unit fraction.
The shaded portion of the fraction bar represents .
Each part represents a unit fraction.
The statements that describe the fraction bar diagram shown are:
B. Each part of the whole fraction bar is equal to one-seventh.
C. The shaded portion of the fraction bar represents a unit fraction.
E. Each part represents a unit fraction.
What is a fraction bar?A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.
Here, each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.
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What is the sign of m/n X (-m X n squared )
positive
Negative
zero
Step-by-step explanation:
mx=n
⟹x=mn
Since m and n are both negative, x=mn will be positive.
Hence, the solution of mx=n will be a positive number.
other sulotion :-
Create a cylinder with a height of 14 cm and a radius of 10 cm. what can be concluded about the cylinder’s volume when the radius is halved? the volume is one-fourthof the original. the volume is one-thirdof the original. the volume is one-halfof the original. the volume is twice the original.
The conclusion about the cylinder volume when the radius is half is that the volume is one-fourth of the original
How to find the volume of a cylinder?
The volume of a cylinder can be represented as follows;
volume = πr²h
volume = π × 10² × 14
volume = 1400π cm³
Let's half the radius as follows:
radius = 10 / 2 = 5 cm
volume = π × 5² × 14
volume = 350π cm³
Therefore, the new volume is one fourth of the original when the radius is halved.
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Answer:
a
Step-by-step explanation:
given f(x)=5(4-x) what is the value of f(-7)
So we replace "x" with the necessary value (-7):
[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]
[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]
[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]
[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]
Answer:[tex] \boxed{ \bold{55}}[/tex]
MissSpanishWhat is the Product?
The given,matrix is [1 -4 5 -7] Thus, the correct option is A [3 -12 15 -21].
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
The given, a matrix is
[1 -4 5 -7]
The product will be
3. [1 -4 5 -7]
[3 -12 15 -21]
Thus, the correct option is A [3 -12 15 -21].
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x² + 8x = 10 solve this quadratic equation by completing the square
The measure of angle Q is 70 degrees. Find the measure of angle p
Please answer quick please! 30 points
what type of parent function is f(x) = |x|
Answer: Absolute value function
The type of parent function is f(x)= |x| is Absolute valued function
What is Absolute valued function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Given function:
f(x)= |x|
As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.
The above property perfectly resemble the absolute valued function.
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Joshua has a ladder that is 15 feet long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 feet above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78 degrees. Will the ladder be safe at this height? Show your work and label the diagram
Answer:
Step-by-step explanation: