Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular
1) Considering that to be a rectangle that quadrilateral needs to have perpendicular line segments and two pairs of congruent segments.
2) Let's find the slope of the line segments AB and BC, bearing in mind the coordinates of A(-2,-1) B(2,2) and C(4,-1)
\(\begin{gathered} m_{AB}=\frac{2-(-1)}{2-(-2)}=\frac{3}{4} \\ m_{BC}=\frac{-1-2}{4-2}=\frac{-3}{2} \\ m_{CD}=\frac{-4-(-1)}{0-4}=\frac{-3}{-4}=\frac{3}{4} \\ m_{AD}=\frac{-4-(-1)}{0-(-2)}=\frac{-3}{2} \end{gathered}\)Note, that in order to state that there are perpendicular lines, the slope of AB and BC should be the opposite and reciprocal so AB is 3/4 and BC should be -4/3. The same does not occur to AB and AD.
3) Hence, the answer is:
Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular
Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find their ages?
Group of answer choices
When did world war 1 happen
Answer:
1914-1918
Step-by-step explanation:
Find the measure of angle FED and DEN. Thx!!!! :)
Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees.
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120
Your school is selling tickets for the band concert. On the first day of ticket sales the school sold five adult tickets and three student tickets for a total of $18. The school took in $22 on the second day by selling seven adult tickets and one student ticket.
What is the price of a student ticket?
Adult ticket costs $3 and the student $1.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
1) Gathering the data
1st day
5a +3s =18
2nd day:
7a +1s= 22
2) Let's set a system of Linear equations, given those two equations:
solving we get,
a=3
s=1
3) Hence, the adult ticket costs $ 3 and the student $1.
To learn more on equation click:
brainly.com/question/24169758
#SPJ1
If the equation of a line is 2y+3x=3, what is the x intercept of the line? HELP MEEE PLEASE
Answer:
the anwers is b= 3/2 And yeah that's you're anwers
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We're given the equation of the line as 2y+3x=3, and we want to find the x intercept of the line.
The x intercept is the coordinate point at which the line passes through the x axis. Therefore, the value of y at the x intercept will be 0.
So we can substitute 0 as y in 2y+3x=3; we'll only have x left if we do this to solve for the x intercept.
2(0)+3x=3
multiply
3x=3
divide both sides by 3
x=1
so the x intercept is 1; as a point it's (1,0)
Hope this helps! :D
statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
Learn more about null hypothesis here:
https://brainly.com/question/29387900
#SPJ11
ACCOUNTS Orenda opened a savings account with $4500 that earns 0.6% simple interest annually. After how many years will the balance of the account be $4635? Round to the nearest tenth, if necessary.
Answer:
5 years
Step-by-step explanation:
A = $4,635.00
I = A - P = $135.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 0.6%/100 = 0.006 per year.
Solving our equation:
A = 4500(1 + (0.006 × 5)) = 4635
A = $4,635.00
The total amount accrued, principal plus interest, from simple interest on a principal of $4,500.00 at a rate of 0.6% per year for 5 years is $4,635.00.
Which triangle makes this statement true?
Answer:
A,C and D are true
Step-by-step explanation:
∆EFG
∆RST
∆LMN
Answer: The answer is A EFG I took the quiz and got it right hope this helps
Step-by-step explanation:
Find XY if X(0, -7) and Y(-3, 2).
d =
9514 1404 393
Answer:
d = 3√10 ≈ 9.487
Step-by-step explanation:
The distance formula is appropriate.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-3 -0)^2 +(2 -(-7))^2) = √(9 +81) = √90
d = 3√10
4n^2 – 15n -25
Factor Completely
Answer:(n-5)(4n+5)
Step-by-step explanation:
Find the value of x that makes A || B.
Answer:
x=15
Step-by-step explanation:
angle 2 and angle 4 are same side interior angles. same side interior angles are supplementary angles or angles that add up to 180°
2x+10+4x+80=180
6x+90=180
-90 -90
6x=90
6x/6=90/6
x=15
hopefully this helps :)
a project being analyzed by pert has 60 activities, 13 of which are on the critical path. if the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take 224 days or more to complete? group of answer choices near zero
The probability that the project will take 224 days or longer is 0.1587.
This is a question on the normal probability distribution.
To expiate this, standardize the 95 days.
The standardized score is calculated by subtracting the value from the mean and dividing it by the standard deviation.
z = (x - xbar) ÷ σ
x = 224 days
xbar = mean = 214 days
σ = standard deviation = √(variance) = √100 = 10
z = (224 - 214) ÷ 10 = 1
To calculate the probability that the project will be finished in 95 days or less, P(x ≥ 224) = P(z ≥ (1))
For these probabilities, use data from the normal probability table.
P(x ≥ 224) = P(z ≥ (1)) = 1 - 0.8413 = 0.1587
Learn more about normal probability distribution at
https://brainly.com/question/14838679?referrer=searchResults
#SPJ4
Find the perimeter and area of the figure.
10 ft
3 ft
The perimeter of the figure is
feet.
47
The area of the figure is
square feet.
HELP ME PLEASE
Answer: the perimeter is 26 feet squared. the area is 30 feet
perimeter is all sides added together:
10+10+3+3= 26
area is base times length
10×3=30
dont forget units
The resulting vector for b − a is < , >, and the resulting vector for 2a − b is < , >.
The vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.What is a vector?In mathematics, a vector is a quantity that has both magnitude and direction but no position. Examples include velocity and acceleration.To find the vectors:
Use the graph to solve the problem:
The vector a is <3, -2>The vector b is <-2, 5>We can add and subtract the vectors:
a = <3 , -2>b = <-2 , 5>-To find b - a subtract a from b:
b - a = <-2 , 5> - <3 , -2> = <(-2 - 3) , (5 - -2)> = <(-5) , (7)>The resulting vector b - a is <-5, 7>2a means multiply vector a by 2:
a = <3 , -2>2a = <(2 × 3) , (2 × -2) = <6 , -4>Now let's find the resulting vector 2a - b.
- Subtract b from 2a:
2a = <6 , -4>b = <-2 , 5>2a - b = <6 , -4> - <-2 , 5> = <(6 - -2) , (-4 - 5> = <(8) , (-9)> = <8 , -9>The resulting vector 2a - b is <8, -9>
Therefore, the vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.Know more about vectors here:
https://brainly.com/question/25705666
#SPJ4
The complete question is given below:
The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.
Who likes wings of fire if you do pls e-mail me E-mail in comments
Answer:
like the book series? if so yes its great
Step-by-step explanation:
Classify the following triangle. Check all that apply
The triangle is an equilateral triangle and it is an acute triangle
Classifying the triangle by its side lengths and by its anglesFrom the question, we have the following parameters that can be used in our computation:
The triangle
From the figure, we can see that
The three lengths of triangle are congruent
This means that the triangle is an equilateral triangle
Also, we can see that
All angles in the triangle are less than 90
This means that the triangle is an acute triangle
Read more about triangle at
brainly.com/question/10025467
#SPJ1
what is the missing blank?
Answer:
<1 and <8 are alternate exterior angles
Step-by-step explanation:
Alternate means on the opposite side of the transversal
Exterior means outside the parallel lines
<1 and <8 are alternate exterior angles
A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.
The height of the prism \(\approx 2.9\)
The whole volume of the prism is
\(\text{Volume} = \text{Area of base}\times \text{Height}\)
Here, the volume is 38 cu. in.
From the question, the area and the height are related as follows;
\(\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}\)
Substituting this into the formula for the volume, we get
\(\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0\)
If the above quadratic equation is solved for the height, we get
\(\text{Height}\approx 2.9\)
(We can't take the other solution since height has to be greater than zero)
Another word problem on volume can be found in this link: https://brainly.com/question/17142547
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6965 subjects randomly selected from an online group involved with ears. There were 1330 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. Upper H 0: pequals0.2 Upper H 1: pless than0.2 B. Upper H 0: pgreater than0.2 Upper H 1: pequals0.2 C. Upper H 0: pequals0.2 Upper H 1: pnot equals0.2 D. Upper H 0: pnot equals0.2 Upper H 1: pequals0.2 E. Upper H 0: pless than0.2 Upper H 1: pequals0.2 F. Upper H 0: pequals0.2 Upper H 1: pgreater than0.2 The test statistic is zequals nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) Because the P-value is
Answer:
Given:
Sample size, n = 6965
Sample proportion p' = \( \frac{1330}{6965} = 0.19 \)
Let's claim that the return rate is less than 20%, ie, P = 0.2
Significance level = 0.01
The null and alternative hypotheses:
H0 : P = 0.2
H1 : P < 0.2
Option A is correct
_____________________________
For the test statistic, Z, let's use the formula:
\( Z = \frac{p'- P}{\sqrt{\frac{P(1-P)}{n}}} \)
\( = \frac{0.19 - 0.2}{\sqrt{\frac{0.2(1 - 0.2)}{6965}}} = -1.887 \)
Z = -1.887 ≈ -1.89
___________________________
The p-value.
This is a left tailed test.
Using z table,
P-value = P(Z ≤ -1.89) = 0.029
The pvalue is 0.029
Decision:
Because the pvalue, 0.029 is greater than level of significance, 0.01, we fail to reject null hypothesis, H0.
Conclusion:
There is not enough sufficient evidence to conclude that the return rate is less than 20%
Write the expression using exponents.
3 × 3 × 3 × 3
A. 33
B. 34
C. 43
D. 35
Answer:
B
Step-by-step explanation:
Is it possible to make an equation from these two equations? If so, do they have infinite solutions, no solutions, or one solution?
Consider the mathematical sentence 2 = 2.
Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion
Consider the mathematical sentence 2 ≠ 3.
Is there any variable or constant that you could add to or subtract from both sides, or
multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion.
Answer:
For the equation 2 = 2, it is not possible to make this equation false by using the Properties of Equality. This is because the equation is already true, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has one solution.
For the equation 2 ≠ 3, it is not possible to make both sides equal by using the Properties of Equality. This is because the equation is stating that the two sides are not equal, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has no solutions.
Points for anyone and maybe brainily
Answer:
oh nice, thanks!
Step-by-step explanation:
Find the total surface area of this triangular prism.
21 cm
29 cm
22 cm
20 cm
Answer:
313
Step-by-step explanation:
First of all you need to find out the surface of the front.
So you need to do 29cm + 29cm = 58cm.
You then have to do 22cm + 22cm = 44cm
So if you add those two numbers up you will get the front surface which is 102cm.
Next, you need to find the surface of the side.
So you need to do 20cm + 21cm = 41cm
After that, you need to find the back surface.
So you need to add 22cm +22cm = 44cm
Then you have to do 21cm + 21cm = 42cm
Add those two together to get 86cm
Then, you need to do the bottom of the shape.
So you need to add 22cm + 22cm (again) = 44cm
You then need to do 20cm + 20cm = 40cm
Add those together to get 84cm
Finally, you need to add 84cm + 86cm + 102cm + 41cm = 313cm
So your answer is:
Surface: 313
½×10×8.2 explain with answer
Answer:
41
Step-by-step explanation:
1/2 x 10 x 8.2
We will convert the decimal to fraction first
1/2 x 10 x 41/5
Then we will reduce the numbers with the greatest common factor (5)
5 x 41/5
We will remove the fives since they are the common factors
And we will remain with the answer 41
suppose you give 10 people a taste test where they each try samples of two different brands of soda. after drinking both samples they tell you which soda they liked best. what is a/the confounding variable in this experiment?
Confounding variables are any other variable that also has an effect on your dependent variable.
What is a confounding variable?
A confounding variable, also called a confounder or confounding factor, is a third variable in a study examining a potential cause-and-effect relationship.
A confounding variable is related to both the supposed cause and the supposed effect of the study. It can be difficult to separate the true effect of the independent variable from the effect of the confounding variable.
In your research design, it's important to identify potential confounding variables and plan how you will reduce their impact.
For example, if you are researching whether drinking both sample lead to taste test, then drinking both sample is your independent variable and taste test is your dependent variable. Confounding variables are any other variable that also has an effect on your dependent variable.
learn more about of confounding variable here
https://brainly.com/question/16930107
#SPJ4
HELP (0,-3) and (5,-5) what is the slope
Answer:
-2/5
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -5 - -3)/( 5 - 0)
= ( -5+3)/( 5-0)
= -2/5
Hi! I can help you with joy! :)
Use the slope formula:\(\displaystyle\frac{y2-y1}{x2-x1}\)Wherey2 is the y-coordinate of the second point (in this case, it's equal to -5)y1 is the y-coordinate of the first point (in this case, it's equal to -3)x2 is the x-coordinate of the 2nd point (in this case, x2=5)x1 is the x-coordinate of the 1st point (in this case, x1=0)Plug in the values:\(\displaystyle\frac{-5-(-3)}{5-0} \\\frac{-5+3}{5}\)\(\displaystyle\frac{-2}{5}\)\(\displaystyle-\frac{2}{5}\)Answer:
\(\huge\boxed{\bold{Slope=\displaystyle-\frac{2}{5} }}\)
Hope it helps!
~Nature~
-5/12 - (-9/3) what is the answer for this equation
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
Vector subtraction is done by arranging {{c1::head to head}}
Vector subtraction is done by arranging head to tail.
Vector subtraction is the process of finding the vector that results from taking away one vector from another. To perform vector subtraction, we arrange the vectors head to tail, with the tail of one vector touching the head of the other vector. We then draw a new vector from the tail of the first vector to the head of the second vector. The resulting vector is the difference between the two vectors. This can be mathematically represented as:
a - b = a + (-b)
where "a" and "b" are vectors, and (-b) is the additive inverse of b, which is the vector with the same magnitude as b but opposite in direction.
To know more about vector,
https://brainly.com/question/20426452
#SPJ11
A painter needs 4 1/2 gallons of white paint. He has 1 1/4 gallons of white paint in his truck, and another 3/6 gallon of white paint in a storage room.
How many more gallons of white paint does the painter need?
Answer:
He would need 2 3/4 more white paint to get 4 1/2.
Step-by-step explanation:
\(4\frac{1}{2} - 1\frac{1}{4} = 3\frac{1}{4} \\3\frac{1}{4} - \frac{3}{6} =2\frac{3}{4}\\\)
Simplify:
\(3\frac{1}{4} - \frac{1}{2} = 2\frac{3}{4}\)
Hope this helps.
Y= 3xcube - 2xsquared plus 5x minus 12 minus ten
Answer:
y= 3x^3 - 2x^2 + 5x - 22
Step-by-step explanation:
[Y= 3xcube - 2xsquared plus 5x minus 12 minus ten
y= 3x^3 - 2x^2 + 5x - 12 - 10
y= 3x^3 - 2x^2 + 5x [ - 12 - 10 ]
y= 3x^3 - 2x^2 + 5x -22