Answer:
64
2×32=64............
Find the perimeter and the area of the polygon with the given vertices.
N (0,2), P (5,2), Q (5,5), R (0,5)
PLEASE ANSWER CORRECT NEED ASAP ANSWER
Answer:
Answer: I think its 15 but if you could give me answer choices it would be better
But The answer is 15.
Step-by-step explanation:
Step-by-step explanation:
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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Simplify the expression: 5(3x + 7)
Answer:
15x+35
Step-by-step explanation:
5(3x+7)=5(3x)+5(7)
=15x+35
Answer:
15x + 35
Step-by-step explanation:
5(3x + 7)
5(3x) + 5(7), by the distributive propoerty of equality
15x + 7
Same directions as question #1
Sn = ( -1 )n + 1
The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.
How to depict the information?The formula for finding the nth term in an arithmetic sequence given as:
= a + (n - 1)d
Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:
= (-1)n + 1
= (-1)5 + 1
= (-1)6
= -6
Here is the complete question:
Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.
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factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Use fractions to explain why 4.5 x 0.5 equals 2.25.
Answer:
4 1/2 x 1/2
9/2 x 1/2 = 9/4
9/4 = 2 1/4
Step-by-step explanation:
What is the value of n?
n/73=8.76
Answer:
n=639.48
Step-by-step explanation:
Answer:
639.48
Step-by-step explanation:
Which of these points lie on the circumference of the circle X^2 + Y^2 = 25? Circle your answer. (-3, 4) (6.25, 6.25) (9, 16) (-1, 12)
Answer:
A. (-2, 4)Step-by-step explanation:
Given the circle:
\(x^2+y^2=25\)or
\(x^2+y^2=5^2\)According to the equation, any point with one of the coordinate > 5 lies outside of the circle since the radius is 5 units.
The points 2, 3 and 4 have at least one of the coordinates greater than 5.
Let's verify the point 1:
\((-3)^2+4^2=9+16=25\\\)\(25=25\)Answer:
(-3, 4)
Step-by-step explanation:
The answer to this question is the numbers that are included in the Pythagorean numbers are 3, 4, 5. So, the right option is (-3, 4)
x² + y² = 25
-3² + 4² = 25
9 + 16 = 25
25= 25
(RIGHT) ✔
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Dado cot B = 0.57736, determina la medida del ángulo B.
The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.
What is a angle measure?An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.
To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.
The tangent of an angle is the ratio of the opposite side to the adjacent side,
So cot B = adjacent side / opposite side.
By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation
B = arctan(cot B).
Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,
B = arctan(cot B) = 56.31° (rounded to two decimal places)
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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".
What is the equation of a line that is parallel to the line 4x-2y=10 and goes through the point (3,12)
Answer:
4x - 2y = -12
Step-by-step explanation:
4(3) - 2(12) = b
12 - 24 = b
-12 = b
4x-2y = -12
A graph of an exponential function is shown
A. y=2(3.2)power of x
B. y= 2(1.6) power of x
C. y= 3.2(2)power of x
D. y=1.6(2) power of x
PLEASE HELP ASAP
Answer:
B
Step-by-step explanation:
(0, 2) and (1, 3.2) match B
Wayne and Sarah both leave Sacramento at noon exactly. Wayne is driving west at 40 mph, while Sarah is driving south at 70 mph. Find the rate at which the distance between them is changing at 2pm. Show all your work, include units in your answer. You do not need to simplify!
Answer:
30units because we are dealing with speed
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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O
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
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The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k. SOLUTION (a) The gradient of f is ∇f(x, y, z) = fx(x, y, z), fy(x, y, z), fz(x, y, z)
Answer:
a) f = sin(yz)i + xzcos(yz)j + xycos(yz)kb) -2Step-by-step explanation:
Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;
fx, fy and fz are the differential of the functions with respect to x, y and z respectively.
a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k
The gradient of f = sin(yz)i + xzcos(yz)j + xycos(yz)k
b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v
∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k
∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k
∇f(1, 2, 0) = 0i +0j + 2k
Given v = i + 4j − k
∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)
∇f(1, 2, 0)*v = (0i +0j + 2k)*(i + 4j − k )
Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0
∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k
∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)
∇f(1, 2, 0)*v =0+0-2
∇f(1, 2, 0)*v= -2
Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2
what is 30 x 45 x 34 x89
Answer:
Step-by-step explanation:
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
I need help with this problem
Answer:
as you see from B to E it's 2 and from E to D is 3 so it can only be 4 or 6. if it was 4 it would br a Lil bigger not a whole lot bigger so I would say 6 because it's bigger than it would be of it was 4..!!!??
Answer:
Fourth Choice
Step-by-step explanation:
To answer this, we will start by using the Midpoint Theorem, which states that the segment that connects the midpoints of two sides of a triangle is parallel to the third side.
In this case, since D is midpont of AB and E is midpoint of BC, DE is parallel to AC.
Because they are parallel, the angles ∠BED and ∠BCA are corresponding angles and so are the angles ∠BDE and ∠BAC. Also, the angles ∠ABC and ∠DBC are the same, so:
∠BED=∠BCA
∠BDE=∠BAC
∠ABC= ∠DBC
Thus the triangles ΔABC and ΔBDE are similar.
This means that:
\(\frac{BC}{BE}=\frac{BA}{BD}=\frac{AC}{DE}=k \)
We can calculate k using BE and BC:
\(\frac{BC}{BE}=k \)
Since E is midpoint of BC, BC = 2*BE, so:
\(\frac{BC}{BE}=k \)
\(\frac{2xBE}{BE}=k \)
\(2=k\\ k=2\)
Now, we can use the relation of DE, AC and k to calculate AC:
\(\frac{AC}{DE}=k=2\\ AC=2xDE\\ AC=2x3\\ AC=6\)
This corresponds to the fourth alternative.
slope of line (-3,-2) and (-1,-5)
Answer:
−3/2
Step-by-step explanation:
Hope this helps
:D
3. If Hershey wanted to increase the size of their Milk Duds box to allow more candy per box, which version
below would be able to hold more candy?
double the height
double the width
a
Double the height
b
Double the width
c.
Both options would increase by the same amount
Answer:
double the width
Step-By- Step
The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.
Answer:
See Explanation
Step-by-step explanation:
This question requires an attachment.
However, if you follow my explanation, you'll arrive at your answer
The area of a parallelogram is:
\(Area (A)= Base (b) * Height (h)\)
\(A = b * h\)
To solve for Height, we simply make h the subject of formula
\(h = \frac{A}{b}\)
In this question, we have that A = 54
Now, let's assume base (b) = 6.
This implies that
\(h = \frac{54}{6}\)
\(h = 9\)
Or;
Assume that b = 3
\(h = \frac{54}{3}\)
\(h = 18\)
So, whatever the base of the parallelogram is;
You can easily solve for the height using the above steps
pleaseeee helpppppppp!!!!!!!!
Answer:
1. False
2. True
3. True
4. False
hope this helps:)
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 2 ft by 2 ft by 12.5 ft. If the container is entirely full and, on average, its contents weigh 0.22 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.
Answer:
38.81 pounds
Step-by-step explanation:
Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.
Right rectangular prism
A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
Volume of right rectangular prism
To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.
That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.
Volume of the container
In this case, you know that:
the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.
So, the volume of the container is calculated as:
7.5 ft× 11.5 ft× 3 ft= 258.75 ft³
Then, the total weight of the contents is calculated as:
258.75 ft³× 0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds
Finally, the total weight of the contents is 38.81 pounds.
which figure comes next in a pattern?
Answer:
square
Step-by-step explanation:
need more information
HELP RIGHT NOW! I REALLY NEED HELP AND MY ASSIGNMENT IS DUE TOMMOROW
Answer:
area = 6 units²
perimeter = 10.06 units
Step-by-step explanation:
area = 1/2bh
area = 1/2(4)(3) = 6 units²
perimeter = 4.123 + 2.236 + 4.243 = 10.06 units
Calculate the length of AB. *
Answer:
the answer will be 9.6 cm
A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. How much does each earn per hour?
Answer:
Step-by-step explanation:
m= the amount of money the mechanic makes.
h= the amount of money the helper makes.
m=h+5
m+h=114
h+5+h=114
2h+5=114
h=54.50
m=59.5
Helper makes $9 an hour.
Mechanic makes $9.92 an hour.
The earning of helper each earn per hour is 7$ /hr.
To find earning of helper per hour.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.
Given that:
let the cost /per hour of helper be x
and that of the mechanic is x+5
now for 6 hour job total earning is
6(x+x+5) = 114
=> 2x+5 = 19
so, 2x = 14 or x = 7
the earning of helper is = 7$ /hr
and earning of mechanic is = 12$/hr
So, the earning of helper each earn per hour is 7$ /hr.
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how to do this questions
By evaluating the polynomial in x = -1, we can see that (x + 1) is a factor of the polynomial P(x) = 2x⁴ + 2x³ - x² - 5x - 4
How to check if these are factors of the polynomial?We know that a polynomial of degree N, a leading coefficient a, and with the zeros {x₁, x₂, ..., xₙ} can be written as:
p(x) = a*(x - x₁)*(x - x₂)*...
These are the factors of the polynomial.
So, solving the first problem, (x + 1) is a factor of the polynomial if x = -1 is a zero of the polynomial.
The polynomial is:
P(x) = 2x⁴ + 2x³ - x² - 5x - 4
Evaluating it in x = -1 we get:
P(-1) = 2(-1)⁴ + 2(-1)³ - (-1)² - 5(-1) - 4
= 2 - 2 - 1 + 5 - 4
= 0
So yea, (x + 1) is a factor of that polynomial.
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