Answer:
16.492422502 units or 4√17 units
Step-by-step explanation:
The Perimeter of a Square can be defined as the Addition of it's 4 sides or the Multiplication of 4 and one of its sides.
This means,
The perimeter of square = a + b + c + d
or
4 × any of the sides because the sides of a square are equal to one another.
In the above question, we are given vertices at A(-1,3) B(0,7) C(4,6) and D(3,2)
The formula to solve for this is
√(x2 - x1)² + (y2 - y1)² when you have vertices: (x1 , y1 ) and (x2 , y2)
For Side AB: A(-1,3), B(0,7)
= √(x2 - x1)² + (y2 - y1)²
= √(0- (-1))² + (7 - 3)² = √1² + 4² = √1 + 16 = √17
For Side BC: B(0,7), C(4,6)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 0)² + (6 - 7)² = √4² + 1² = √16 + 1 = √17
For Side AD : A(-1,3), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3- (-1))² + (2 - 3)² = √4² + (-1)² = √16 + 1= √17
For Side CD: C(4,6), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3 - 4)² + (6 - 2)² = √-1² + 4² = √1 + 16 = √17
From the above calculations we can side that sides AB = BC = AC = CD
Hence the perimeter of square ABCD can be calculated as 4 × √17 or √17 + √17 + √17 + √17
= 16.492422502 units or 4√17 units
the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2
Answer:
A. 2614 m^2 to the nearest square meter.
Step-by-step explanation:
Volume of the sphere
= 4/3 pi r^3 = 4000 pi
4/3 r^3 = 4000
r^3 = 4000 * 3/4 = 3000
r = ∛(3000)
The surface area
=4 pi r^2
= 4 * pi * (∛(3000)^2
= 4 * pi * 208.008
= 2613.91 m^2.
Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.
Answer:
Last Choice: Angles F and C are congruent
Step-by-step explanation:
Angles F and C are congruent because they are vertical angles.
All other pairs of angles in the choices are not necessarily congruent.
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
The probability of the white shirt and the gray slack is;
[tex]\rm P(A) = \frac{1}{6}[/tex]
The probability of the outfit with the black shirt is;
[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]
The probability that the no favorable outfit with the white shirt and black is;
P(A∩B)=0
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;
P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]
Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
We have to given that,
Mark is going to an awards dinner and wants to dress appropriately.
And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.
Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.
We can use the addition rule of probability:
P(A or B) = P(A) + P(B) - P(A and B)
where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,
P(B) is the probability of selecting an outfit with a black shirt, and
P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.
From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:
P(A) = 1/6
P(B) = 1/6
There is no outfit that satisfies both events A and B, so:
P(A and B) = 0
Therefore:
P(A or B) = P(A) + P(B) - P(A and B)
= 1/6 + 1/6 - 0
= 1/3
So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
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Complete question is,
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.
What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?
A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. (a) H0:μ=25; Ha:μ>25, which is a right-tailed test. (b) z0=0.22, p-value is = 0.41. (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. We reject H0. We fail to reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
H₀ : μ =25 vs. Hₐ : μ > 25
The test statistic value is, z₀ = 0.22.
The p-value of the test is, p-value = 0.41.
The significance level is, α = 0.05.
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, p-value = 0.41 > α = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
A submarine is searching for underwater features with help from an underwater robotic vehicle. At one time the submarine is 55m below the surface, and the underwater robotic vehicle is 227m below the surface. What is the distance between the underwater robotic vehicle and the submarine?
Answer: 172
If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.
-227-55= -172
Absolute value=172
please help me with this if youre feeling generous today! thank you!
Answer:
The answer is number 2 because a positive number is always bigger than a negitive number
5
Which graph shows the solution set for zx-352?
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
+
-8-7 -6 -5 4 -3 -2 -1 0 1 2
-8-7 -6 -5 4 -3 -2 -1 0 1 2
Answer:
the 2nd one
Step-by-step explanation:
b/c
-5/2x-3≤2
-5/2x≤3+2
-5/2x≤5
-5x≤10
x≥10/-5
x≥-2
16 2/3 percent of what number is 72
Help fill in the blanks no
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Please help! Will mark as brainliest!
Answer:
[tex]y = -\frac{2}{5} x - 11[/tex]
Step-by-step explanation:
So we are given the two coordinate points (-10 , -7) and (-5 , -9).
With the question to "Complete the equation of the line."
So what we do is to compute the slope of both coordinates, which will give us
[tex]-\frac{2}{5}[/tex]
So to complete part of the equation:
[tex]y = -\frac{2}{5} x[/tex]
Now we need to compute the y intercept, since all numbers are negative, there is likely chance [tex]b[/tex] will be a subtraction method.
Compute the y intercept:
[tex]-11[/tex]
Complete the equation :
[tex]y = -\frac{2}{5} x - 11[/tex]
Here is a graph to go with the equation :
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
if g(x) = 0, then
x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0
AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.
I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.
A swimming pool measures 35 feet by 50 feet long. What is the ratio of the length to the length to the perimeter in simplest form?
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
Solve for x: 2000=5000e^4x
Answer:
x = -0.23
Step-by-step explanation:
2000=5000e^4x
=> e^4x = 2000/5000 = 2/5
taking the natural logarithn on LHS and RHS
ln e^4x = ln2/5
=> 4x lne = ln2/5
we know ln e = 1, also ln a/b = lna - ln b
ln 2 = 0.693, ln 5 = 1.609
4x = ln2 - ln5
4x = 0.693 - 1.609
x = -0.916/4 = -0.229
Thus, x = -0.23 rounded to two decimal place.
PLSSS HELPPPP!!! Find all real zeros and complexof each equation f(x)=(x^2+4)(x^2-9)
Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
f(x) = (x² + 4)(x² - 9)
To find the zeros let f(x) = 0, that is
(x² + 4)(x² - 9) = 0
Equate each factor to zero and solve for x
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i
Thus zeros are
x = - 3, x = 3 ← real
x = - 2i, x = 2i ← complex
Describe how to transform the graph of f(x) = x² to obtain
the graph of the related function g(x) = f(–4x – 3)) + 1.
Then draw the graph of g(x).
Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
What is the volume of the figure below? 2 stacked rectangular pyramids. The pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet. 30 feet cubed 60 feet cubed 90 feet cubed 120 feet cubed
Answer:
60 feet cubed
Step-by-step explanation:
We are told type of pyramid is a rectangular pyramid.
The volume of a rectangular pyramid = 1/3 × Length × Width × Height
We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
Volume for one of the pyramid =
1/3 × 4 × 5 × 4.5
= 30 cubic feet
Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.
The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.
Answer:
60 ft
Step-by-step explanation:
Please if you can, help me it's needed to. thank you. :)
Answer:
Hey there!
1 liter is equal to 1000 milliliters.
0.25 liters is equal to 250 milliliters.
One mega meter is equal to 1000000 meters.
1.2 Mm= 1200000 meters.
Hope this helps :)
Step-by-step explanation:
1l = 1000ml
Convert 0.25 litres to milliliters
0.25 x 1000 = 250 ml
1 megametre = 1000000
1.2 x 1000000= 1200000m
X+ y = 9
X- y = 7
O A. (16, -7)
O B. (8, 1)
O C. (12,-3)
D. (7,0)
Answer:
B. (8,1)
Step-by-step explanation:
x+y=9
x-y=7
x=7+y
Therefore in the equation x+y=9 , x=7+y
(7+y)+y=9
7+2y=9
2y=9-7
2y=2
y=2/2=1
therefore x=7+y
=7+1=8
The solution of the system of equation are,
⇒ (8, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
System of equations are,
x + y = 9 .. (i)
x - y = 7 .. (ii)
Now, We can simplify as;
From (i);
x = 9 - y
Put in (ii);
x - y = 7
9 - y - y = 7
9 - 2y = 7
9 - 7 = 2y
2y = 2
y = 1
From (i);
x = 9 - y
x = 9 - 1
x = 8
Thus, The solution of the system of equation are,
⇒ (8, 1)
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A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours:
Write a function for the distance traveled d in t hours.
What is the dependent variable?
What is the independent variable?
Make a table with at least 5 coordinate pairs.
Graph the coordinate pairs and draw the function
The first one to answer with explanation get 100 pts and brainliest..
Answer:
Step-by-step explanation:
first we will break the parts of the question down:
d= distance
t= time
function: d=t(60)
the independent variable is t, time, because the (distance) that the car travels depends on how long the car has been traveling for (time) meaning that the dependent value is distance.
A table we can create with 5 coordinate pairs is:
(time) (distance)
1 hr 60miles
2 hr 120 miles
3 hr 180 miles
4 hr 240 miles
5 hr 300 miles
(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)
help me i need help with this
Answer:
0.421
Step-by-step explanation:
add all numbers: 59 + 68 + 12 + 1 = 140
blue jays: 59
p(blue jay) = 59/140 = 0.421
Answer:
0.421
Step-by-step explanation:
59 + 68 + 12 + 1 = 140
59/140 = 0.421
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i.Radhika answered all the questions and scored 30 marks and get 10 correct answers. ii.Jay also answered all the questions and scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
Step-by-step explanation:
number of correct answer is x and
number of wrong answer is y
according to question
In the case of Radhika
5x-2y=30
x=10
y=10
In the case of Jay
5x-2y=-12
x=4
y=16
incorrect answer by Radhika is 10 and by jay is 16
explain rate of change in graphs
Answer:
change in y
over
change in x
---------------------------------------
please make me brainliest
Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
Find the similarity ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m2
Answer:
4.9
Step-by-step explanation:
In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
The ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m².
The face assumed to be square, hence the area is equal to the square of the length.
36 / 81 = 6 / 9
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Multiple (2x+1)(x-5)
Answer:
2x² - 9x - 5
Step-by-step explanation:
Step 1: FOIL
2x² - 10x + x - 5
Step 2: Combine like terms
2x² - 9x - 5
Answer:
2x^2−9x−5
Step-by-step explanation:
(2x+1)(x−5)
=(2x+1)(x+−5)
=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)
=2x^2−10x+x−5
=2x^2−9x−5
15 points, 5 stars and thanks will be your reward if you answer this question correctly: a(7x+2)=bx+8 a and b are both integers. What is the value of b?
Answer:
b = 28
Step-by-step explanation:
Given
a(7x+2)=bx+8
=> 7ax + 2a = bx + 8
in both the equation there is a term containing x and a term not containing x.
since value of both equation is equal. hence
term containing x on both side will be equal to each and
term independent of x will be equal in both the equation
thus
7ax = bx
2a = 8
=> a = 8/2 = 4
now, plugging a = 4 in 7ax = bx
7*4x = bx
=> b = 7*4x/x = 28.
Thus, value of b is 28.
Divide(or reduce) your answer if necessary 12 and 1/4 divide by 1/8
Answer:
98
Step-by-step explanation:
First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.
Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)
This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.
Answer: 98
Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.
So we have 49/4 ÷ 1/8.
Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.
Before multiplying however, always try to cross-cancel.
In this problem, the 4 and 8 cross-cancel to 1 and 2.
So we have 49/1 × 2/1 which is 98/1 or 98.
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Which of the following are not polynomials?
Answer:
I think it's a,c,and e that aren't polynomials
Answer:
A, C, and E
Step-by-step explanation:
A is not a polynomial because its exponents is negative.
C is not a polynomial because the power of x is ½ and exponents can only be integers
E is not a polynomial because one cannot divide by a variable and the exponent of x is negative