Answer:
B(0,4)
Step-by-step explanation:
Midpoint formula: (x1+x2)/2+(y1+y2)/2
1-1/2+3+5/2=
0/2+8/2=
(0,4)
Why are there two solutions for the equation 16 + yl = 2?
Explain
They are two solutions they are just simply add the question or subtract the answer from the given number in the question... Two solutions are there bcoz by doing both the solutions the answer is same
Answer:
see explanation
Step-by-step explanation:
The absolute value function always gives a positive result, however, the expression inside can be positive or negative.
The absolute value is a measure of the value from the origin and
| 2 | = | - 2 | = 2
Since 2 and - 2 are both 2 units from the origin.
Solving the given question
| 6 + y | = 2 , then
6 + y = 2 or - (6 + y) = 2
6 + y = 2 ( subtract 6 from both sides )
y = - 4
or
- (6 + y) = 2
- 6 - y = 2 ( add 6 to both sides )
- y = 8 ( multiply both sides by - 1 )
y = - 8
As a check
| 6 - 4 | = | 2 | = 2
| 6 - 8 | = | - 2 | = 2
Thus y = - 4 or y = - 8 are both solutions to the equation
Fabiana solved a linear equation and got the result 5= 5. what does this mean? Explain your answer
*PLEASEE ANSWER!! ASAP!! , NEED HELP *
The GDP for a hypothetical economy is determined to be 6 billion dollars in year 1 and 7.5 billion dollars in year 2. What is the growth rate of GDP from year 1 to year 2?
A.) 1.5%
B.) 125%
C.) 150%
D.) 25%
Answer:
answer is d
Step-by-step explanation:
25%of 6billion is 1.5 billion that's the difference in money from year one and two
The growth rate of GDP from year 1 to year 2 for the considered hypothetical economy is given by: Option D: 25%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
Growth rate (in percentage) of GDP is the percent of previous years GDP the next year GDP is.
For first year, GDP = $6 billion
For second year, GDP = $7.5 billion
So the difference is of 1.5 billion dollar increment in GDP.
Thus, the rate of growth of GDP from first year to second year is $1.5 billion per year.
Now we need to find out how much 1.5 billion dollars increment is in comparison to the first year GDP (so as to know how much percent is increased).
Let we have: 1.5 billion is P% of 6 billion
Then, we get:
\(\dfrac{6000000000}{100} \times P = {1500000000}\\\\60000000 \times P = 1500000000\\\\\text{Dividing both the sides by 60000000, we get:}\\\\P = \dfrac{1500000000}{60000000} = 25 \: \rm (in \: percent)\)
So second year's GPD is 25% incremented compared to the first year's GDP.
Thus, the growth rate of GDP from year 1 to year 2 for the considered hypothetical economy is given by: Option D: 25%
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If angles a & b are vertical angles and the measure of angle a is 123 degrees and the measure of angle b is 3x, what is the value of x?
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41
Someone please help me
Answer:
x = 34°
Step-by-step explanation:
The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
x = \(\frac{1}{2}\) ( AB + CD ) = \(\frac{1}{2}\) (45 + 23)° = 0.5 × 68° = 34°
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Marco volunteered to help with a home remodeling project at his grandparents' house, but he also needs to study to maintain good grades. He decided he can spend no more than 36 hours on painting walls and framing windows. He needs 2
hours to paint a wall and 3 hours to frame a large window. Write an inequality to represent the constraints.
Answer:
2w + 3x ≤ 36
Step-by-step explanation:
Given that :
Hours needed to paint wall = 2 hours
Hours required to frame window = 3 hours
Total hours to spend ≤ 36
Let :
Number of walls to paint = w
Number of windows to frame = x
Hence,
Hours required to paint a wall * number of waas to paint) + (hours required to frame a window * Number of windows to frame.)
(2*w) + (3*x) ≤ 36
2w + 3x ≤ 36
please help with question 9 :)))
Answer:
A
Step-by-step explanation:
if n1 = 6, n2 = 8 and a = 0.052 tail, ucrit value is ____. _____
To find the ucrit (critical value) for a two-sample t-test with the given information, you need to use a t-distribution table.
Since a = 0.052 tail, the significance level (α) is 0.052. You need to find the degrees of freedom (df) first:
Step 1: Calculate the degrees of freedom:
df = n1 + n2 - 2
df = 6 + 8 - 2
df = 12
Step 2: Look up the ucrit value in the t-distribution table using α and df:
For a one-tailed test at α = 0.052 and df = 12, the ucrit value is approximately 1.782.
Your answer: The ucrit value for n1 = 6, n2 = 8, and a = 0.052 tail is approximately 1.782.
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A 4 cylinder engine with 543 cubic centimeters has what approximate displacement.
543 cubic centimeters has 0.543 L approximate displacement
Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.
Basic formula to calculate engine displacement is
V = π/4 x \(D^{2}\) x H x N
Where :
D = Bore Diameter
H = Length of Stroke
N = Number of Cylinder
Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.
First, we state what is known. It is the displacement at cubic centimeter
Cubic centimeter = 543 cc
Next, we change the unit of cubic centimeter ( cc ) into liter ( L )
Displacement = cc / 1000 L
= 543 / 1000 L = 0.543 L
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what is 5 - x = 12?
Answer:
x = -7
Step-by-step explanation:
to solve this first subtract 5 to both sides
5 - x - 5 = 12 - 5
- x = 7
now multiply -1 to both sides
-x(-1) = 7(-1)
x = -7
that is your answeer
Please help me with this
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
is the answer you add 19 + 21 give you 40
40
Shun is going to flip a fair coin 450 times
Using the binomial distribution, the statement that best predicts how many times the coin will land tails up is:
D. Close to 225 times but probably not exactly 225 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, considering a fair coin, the parameters are given as follows:
p = 0.5, n = 450.
The expected value is given by:
E(X) = 450 x 0.5 = 225.
It means that the best prediction is close to 225, but may not be exactly 225, hence the correct statement is:
D. Close to 225 times but probably not exactly 225 times.
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Which of the following expressions will have a product greater than 4?
four times ninety-nine hundredths
four times eight-eighths
three-fourths times four
one hundred and one-one hundredths times four
The Expression that have a product greater than 4 is one hundred and one hundredths times four , the correct option is (d).
In the question ,
four expressions are given as
(a) four times ninety-nine hundredths
= 4 × 99/100
= 4 × 0.99
= 3.96
(b) four times eight-eighths
= 4 × 8/8
= 4 × 1
= 4
(c) three-fourths times four
= 3/4 × 4
= 3
(d) one hundred and one hundredths times four
= 1.01 × 4
= 4.04
Therefore , The Expression that have a product greater than 4 is one hundred and one hundredths times four .
The given question is incomplete , the complete question is
Which of the following expressions will have a product greater than 4?
(a) four times ninety-nine hundredths
(b) four times eight-eighths
(c) three-fourths times four
(d) one hundred and one hundredths times four
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leonardo da vinci, michelangelo, and , well known names from the renaissance, helped to make the period primarily known for its artists rather than its political and religious leaders.
The Renaissance period is primarily known for its artists rather than its political and religious leaders due to the contributions of famous figures like Leonardo da Vinci, Michelangelo, and other renowned artists.
During the Renaissance, there was a significant shift in the cultural and intellectual landscape of Europe. This period marked a revival of interest in the arts, sciences, and humanism, emphasizing the potential and achievements of human beings. Artists such as Leonardo da Vinci and Michelangelo played pivotal roles in this cultural transformation by creating iconic works of art that captured the spirit and values of the era.
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what is the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5?
The x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5 is 6.To find the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5, we need to use the concept of section formula. Section formula is a formula used to find the coordinates of the point that divides a line segment into a given ratio.
Let the coordinates of point j be (x1, y1) and the coordinates of point k be (x2, y2). Let the coordinates of the point that divides the line segment in a ratio of 2:5 be (x, y).
According to the section formula, the x-coordinate of the point (x, y) is given by:
x = [(5 * x1) + (2 * x2)] / (5 + 2)
We are given that the line segment is divided into a ratio of 2:5, which means that the length of the segment between point j and the point (x, y) is twice the length of the segment between the point (x, y) and point k.
Using the distance formula, we can find the length of the segment between points j and k:
d(j,k) = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Let the length of the segment between point j and the point (x, y) be d1 and the length of the segment between the point (x, y) and point k be d2. Since the segment is divided in a ratio of 2:5, we can write:
d1 / d2 = 2/5
Simplifying this equation, we get:
d1 = (2 / 7) * d(j,k)
d2 = (5 / 7) * d(j,k)
Now, we can use the x-coordinate formula to find the x-coordinate of the point (x, y):
x = [(5 * x1) + (2 * x2)] / (5 + 2)
x = (5 * 2) + (2 * 8) / 7
x = 6
Therefore, the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5 is 6.
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Please help explanation if possible
Answer:
x=-2 y=3
Step-by-step explanation:
you should multiple second equation by -5 and collect all terms then put -2 from x
At one sitting, a typical doughnut eater consumes 4 doughnuts containing a total of 680 calories and 40 grams of fat. The typical bagel eater consumes exactly one bagel, at 500 calories and one or two grams of fat per sitting, though the addition of spreads can raise calorie and fat content to the four-doughnut range. Thus, as far as total calorie content is concerned, there is very little difference between what a typical doughnut eater and a typical bagel eater each consumes at one sitting.
The argument depends on assuming which one of the following?
(A) The calories and fat in bagels have the same health impact on bagel eaters as the calories and fat in doughnuts have on doughnut eaters.
(B) Most bagel eaters are not fully aware of the calorie and fat content of a bagel.
(C) Eating bagels instead of eating doughnuts provides no real health benefit.
(D) The typical doughnut eater does not add to doughnuts any substances that increase the total caloric intake.
(E) Most typical doughnut eaters are not also bagel eaters.
Answer:
C. Eating bagels instead of eating doughnuts provides no real health benefits.
Step-by-step explanation:
There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.
Kelly rides the bus to work d days each month. She pays a fare of $2.25 each time. On t of those days, she pays an additional fare of $0.75 to transfer onto another bus. The expression shown can be used to find her total cost for bus fare for the month.
d × 2.25 + t × 0.75
Which statement explains how to find Kelly’s total bus fare for the month?
Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.
The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
The total fare for the bus can be calculated using the expression
d × 2.25 + t × 0.75
Here d is the total days that Kelly worked in a month.
On each of these days, she pays a fare of $2.25.
Total fare now = d × 2.25
Find this product.
There is also an additional fare of $0.75 to transfer onto another bus on t of these days.
Additional fare = t × 0.75
Find this product.
Add the resultant both products.
Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.
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What is the value of x in the triangle?
10
10
X
10√2
О А.
OB. 10
OC. 20
OD. 2012
OE. 10√3
Answer:
Choice A
Step-by-step explanation:
Base = 10
Perpendicular = 10
Hypotenuse = x
On applying Pythagoras theorem:
\( \rm \: B^2+P^2 = H^2\)
B = baseP = perpendicularH = heightOn substituting,
\(10 {}^{2} + 10 {}^{2} = x {}^{2} \)Simplifying,
\(100 + 100 = x {}^{2} \)\(20 0 = {x}^{2} \)\( \sqrt{200} = {x}^{} \)\(10 \sqrt{2} = x\)Hence,the value of x using Pythagoras theorem is 10√2.
Choice A
The measure of length of x of the triangle is x = 10√2
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of side AB = 10
The measure of side BC = 10
And , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying , we get
The measure of side AC = x
x = √ ( 10 )² + ( 10 )²
x = √200
x = 10√2
Hence , the measure of x of triangle is x = 10√2
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Determine the inverse of the function f (x) = 3(x − 4)2 + 5.
inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≤ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≤ 4
The inverse of the function f(x) = 3(x - 4)² + 5 is f^-1(x) = √[(x - 5)/3] + 4
Inverse of a functionA function is said to have an inverse if it is both one-to-one and onto
For the function f(x) = 3(x - 4)² + 5
we replace f(x) with y and make x the subject to arrive at the inverse f^-1(x) as follows;
y = 3(x - 4)² + 5
y - 5 = 3(x - 4)² + 5 - 5 {subtract 5 from both sides}
(y - 5)/3 = [3(x - 4)²]/3 {divide through by 3}
also;
(x - 4)² = (y - 5)/3
x - 4 = √[(y - 5)/3] {square root of both sides}
x - 4 + 4 = √[(y - 5)/3] + 4
x = √[(y - 5)/3] + 4
so,
y = √[(x - 5)/3] + 4 and
f^-1(x) = √[( - 5)/3] + 4
Hence, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = √[(x - 5)/3] + 4.
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For the following geometric sequence find the explicit formula. {12, -6, 3,. }.
Answer:
\(a_{n}\) = 12 \((-\frac{1}{2}) ^{n-1}\)
Step-by-step explanation:
the explicit formula for a geometric sequence is
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
here a₁ = 12 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-6}{12}\) = - \(\frac{1}{2}\) , then explicit formula is
\(a_{n}\) = 12 \((-\frac{1}{2}) ^{n-1}\)
A carpenter needs to cut 15-inch pieces of wood from a board of wood that is 11 feet in length.
What is the greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards?
Answer:
15-inch times 11 =165
Step-by-step explanation:
The greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards is 52.
Given that, cut 15-inch pieces of wood from a board of wood that is 11 feet in length.
We need to find the greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards.
How to convert inches to feet?Converting an inch length measurement to feet is as simple as dividing the number of inches by 12 because there are 12 inches in a foot.
Now, 11×6×12/15=52.8
Therefore, the greatest number of 15-inch pieces the carpenter can cut from 6 of these wood boards is 52.
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i put the wrong question earlier help is appreciated
Answer:
B. 71°
Step-by-step explanation:
Parallel lines are the same
Answer:
measure of angle 1 is equal to 71.
In the equation y= 22 - 3.c + 8the y-intercept is - 3
True
O False
Answer:
False
Step-by-step explanation:
\(y = x^2-3x+8\)
Y-intercept is when x = 0
So, Putting x = 0 in the above equation
\(y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8\)
So, y-intercept = 8
y-intercept = -3 is a false statement.
Answer:
\(\boxed{false}\)
Step-by-step explanation:
The y-intercept is when the value of x is 0.
Let x = 0
y = 0² - 3(0) + 8
y = 0 - 0 + 8
y = 8
The y-intercept is 8.
Please someone help me with this
Answer:
Option c
Step-by-step explanation:
Since tangent = op/adj, in this case the tan37 would be x/1000.
Then, set it up as an algebra problem.
tan37 = x/1000
Multiply both sides by 1000, so 1000tan37=x
that simplifies to x = 753.6
Let a function f be analytic everywhere in a domain D. Prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.
Let a function f be analytic everywhere in a domain D. Prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D. Suppose a function f(z) is analytic and real-valued throughout a domain D. Assume that there are two different points in D, say w and z, so that f(z) ≠ f(w). Therefore, we have a closed path consisting of the line segment from z to w and the line segment from w to z. Now let γ be any closed path in D that encloses the path from z to w. Since f(z) ≠ f(w), f(z) - f(w) ≠ 0, so f(z) - f(w) / z - w ≠ 0. This makes the function 1 / (f(z) - f(w)) analytic throughout D. Thus, by Cauchy's theorem, $\oint_{\gamma } \frac{1}{f(z)-f(w)}dz = 0$.where gamma is a function.
frac stands for fraction. This leads to $\int_{w}^{z} \{1}/{f(z)-f(w)}dz + \int_{z}^{w} \{1}/{f(z)-f(w)}dz = 0$. But by substituting f(w) = f(z) and reversing the direction of integration in the second integral, we get, $\int_{w}^{z} \frac{1}{f(z)-f(w)}dz - \int_{w}^{z} \frac{1}{f(w)-f(z)}dz = 0$ . This results in the integral$\int_{w}^{z} \frac{f'(w)}{f(z)-f(w)}dz - \int_{w}^{z} \frac{f'(z)}{f(w)-f(z)}dz = 0$. Now it is time to simplify and evaluate each of the integrals. The first integral has value $\ln|f(z)-f(w)|$ and the second integral has value $\ln|f(z)-f(w)|$. Therefore, $f'(z)/f(z)-f(w) = f'(w)/(f(w)-f(z))$. This equation, however, is not possible unless $f(z) = f(w)$. Hence, we conclude that the function f(z) is constant throughout D.
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Use the diagram below to answer the questions. Line q contains points J, K, and M. Point P is above line q between points K and M. A line connects points M and P. Another line connects points P and K. Point L is above point J. A line starts at point K and extends through point L. Which are shown on the diagram? Check all that apply. Line segment J L Ray K M Line J K Ray P K AngleLJK Ray M J
Answer:
2nd 3rd last one
Step-by-step explanation:
Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ
What are lines, rays, and segments?A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.
To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.
It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment
Ray KM
KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.
Line JK
JK has dots on both ends (at J and K). So, JK is a line.
Ray PK
PK has dots on both sides (at P and K). So, PK is a line; not a ray.
Angle LJK
There is no connection between points L, J, and K. Hence, LJK is not an angle.
Ray MJ
MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.
The diagram is attached with the answer below.
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Which is an example of a suggestive survey question?
What do you like and don’t like about the CEO?
Do you own a car or a truck?
What is your favorite brand of soda?
How much credit card debt do you owe?
The answer of the given question based of a suggestive survey the answer is "What do you like and don’t like about the CEO?"
Who is CEO?The CEO or Chief Executive Officer is highest-ranking executive in company who is responsible for making major corporate decisions, managing overall operations, and leading organization towards achieving its goals and the objectives. The CEO reports to board of directors and is responsible for success or failure of company.
The suggestive survey question is: "What do you like and don’t like about the CEO?"
This question is suggestive because it implies that the respondent should have opinions about the CEO, and it encourages the respondent to share both positive and negative opinions. This can bias the responses towards certain answers, rather than allowing the respondent to express their own thoughts freely.
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Suppose there are 360 students in the seventh grade at a
middle school. The table shows the favorite outdoor activities
for a random group of seventh-graders from the school.
Answer:
120
Step-by-step explanation: