Answer:
74.7
Step-by-step explanation:
How to calculate Standard Error of the Y intercept and standard error of the slope, given the table below, without the SE coefficient given.
Answer:
Step-by-step explanation:
the stabdard error is given with the se coefficient snf the y slope
Polygon A is similar to Polygon B.
Find the perimeter of Polygon B.
24
A
PA = 128
15
B
PB = [?]
Answer:
\(P_{B}\) = 80
Step-by-step explanation:
given 2 similar figures with ratio of sides = a : b
then ratio of perimeters is also a : b
here ratio of sides = 24 : 15 = 8 : 5
the ratio of perimeters is also 8 : 5
then by proportion
\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is
\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )
8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )
\(P_{B}\) = 80
A light display for a festival consists of a string of 1,000 lightbulbs in the colors red, yellow, green, and blue repeated consecutively in that order for the entire display. The 543rd lightbulb needs to be replaced.
If the first lightbulb is red, what is the color of the lightbulb that needs to be replaced?
Using the pattern given, we found that the colour of the lightbulb in the 543rd position of a string of lightbulbs is green.
What is meant by the pattern?
A recurring arrangement of numbers, shapes, colours and other elements is known as a pattern. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series. The number of patterns can be limitless or finite. There are many distinct kinds of number patterns, including geometric, Fibonacci, and algebraic or arithmetic patterns. In mathematics, number patterns are quite prevalent.
Given,
The number of lights on a string of lights = 1000
The order in which the lights repeat is red, yellow, green and blue.
After every four lights, the order repeats.
We can get the pattern as follows.
The blue lights are in positions 4,8,12,........,4n.
We have to find the multiple of 4 close to 543.
Now we can check if 542 is a multiple of 4.
542/4 = 135.5
So it is not a multiple of 4.
Now check if 544 is a multiple of 4.
544/4 = 136
So the bulb in the 544th position is blue.
Then the bulb in the 543rd position should be green.
Therefore using the pattern given, we found that the colour of the lightbulb in the 543rd position of a string of lightbulbs is green.
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Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
Will give brainliest
Find the area of the following
parallelogram:
2 cm
4 cm
3 cm
A= [?] cm?
Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
The area of parallelogram is 6 square units.
What is a parallelogram?A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
For the given situation,
The base of the parallelogram,b = 3 cm
The height of the parallelogram,h = 2 cm
The formula of area of parallelogram is
\(A=bh\)
⇒ \(A=(3)(2)\)
⇒ \(A=6\)
Hence we can conclude that the area of parallelogram is 6 square units.
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Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?
Answer:
67
Step-by-step explanation:
she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67
the product of twice a number and 7 less than the number
Answer:
the product of twice is 6
a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
Answer: 4
Step-by-step explanation: I think
Joe and Janna leave home at the same time, traveling in opposite directions. Joe
drives 45 miles per hour and Janna drives 40 miles per hour. In how many hours will
they be 510 miles apart?
O a) 7 hours
Ob) 6 hours
Oc) 4 hours
Od) 5 hours
Answer:
B
Step-by-step explanation:
because if you do 40 times 6 and 45 times 6 you get 270 and 240 and you add them up for 510
Does this table represent a function? Why or why not?
Answer: C) No, because one x-value corresponds to two different y-values.
Explanation:
At the bottom of the table, we see that x = 6 corresponds to y = 5 and y = 6 at the same time. Such a thing is not possible if we want a function to happen. A function is only valid when any x input leads to exactly one y output (assuming this x value is in the domain). We'd have to cross off either of these two rows to help make this table a function.
As a visual approach, you can plot each row as (x,y) points on the same coordinate grid. Then notice how (6,5) and (6,6) line up vertically, which means this collection of points fail the vertical line test, and this is a visual way to see why we don't have a function.
prove that there exist only five regular polyhedron
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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may you please help me
The area of the triangle shown is 8.375 inches squared
How to find area of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The area of a triangle can be found as follows:
area of a triangle = 1 / 2 bh
where
b = base sideh = height of the triangleHence,
h = 3 inches
\(b = 5\frac{7}{12} = \frac{67}{12}\) inches
Therefore,
area of a triangle = 1 / 2 × 67 / 12 × 3
area of a triangle = 201 / 24
area of a triangle = 8.375 inches squared
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rancher wants to enclose a rectangular plot of land, but have a divider in the middle. There is 240 feet of fencing available. What dimension will produce the largest area the rancher can make? What is the max area? Dimensions: __________________ Area:___________ --------------------------------------------------------------------------------------------------------- 2. (10 points) From a thin square piece of cardboard 20 in. per side, square corners (x) are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Dimensions: __________________ Volume:___________ ----------------------------------------------------------------------------------------------------------- 3. (10 points) During a recent oil spill in the gulf, the radius of the spill was increasing at a rate of 10 feet per second. How fast is the circular area of the spill increasing at the moment that the radius is 80 feet? dA = dt __________
The solution is, the two dimensions will be 2121.32 by 1414.2.
Here, we have,
let X and Y be the two dimensions.
Area will be X times Y.
XY = 3000000
Y = 3000000 / X
Perimeter = 2x + 3y
substituting the values:
Perimeter = 2x + 3*3000000 / x
= 2x + 9000000 / x
so, we get,
2 = 9000000 / x^2
x^2 = 9000000 / 2 = 4500000
x = sqrt(4,500,000)
= 2121.32
= 1000 sqrt (4.5)
y = 3000000 / 2121.32
= 1414.2
= 1000 sqrt(2)
so the dimensions will be 2121.32 by 1414.2 .
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complete question:
A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
simplify (4x+1)(3+9x)
Answer:
36 x 2 + 21 x + 3
Step-by-step explanation:
Simplify the expression.
Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )
The circle graph shows the results of a survey about
favorite kinds of books. If 600 people were surveyed, how
many more people prefer mystery books than historical
fiction books?
Thus, number of more people who prefer mystery books over historical
fiction books are 48.
Explain about the pie chart:A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarise a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. A certain category is represented by each segment.
Given data:
mystery books = 18%historical fiction books = 10%Total books = 600Number of mystery books = 18% of 600
= 18*600 / 100
= 108
Number of historical fiction books = 10% of 600
= 10*600 / 100
= 60
Difference = Number of mystery books - Number of historical fiction books
Difference = 108 - 60
Difference = 48
Thus, number of more people who prefer mystery books over historical
fiction books are 48.
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Complete question:
The circle graph shows the results of a survey about favorite kinds of books. If 600 people were surveyed, how many more people prefer mystery books than historical fiction books?
The picture is attached.
Pls help me I’ll brainlest I need a good grade on this
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
PAST DUE DATE PLEASE HELP. whats is the surface are of this figure
Answer:
A = 2.83 feet²
Step-by-step explanation:
From the attached figure,
Length of the cube, l = 1.5 ft
Breadth of thecube, b = 0.5 ft
Height of the cube, h = 4 inches
We need to find the surface area of this figure.
We know that : 1 foot = 12 inch
4 inches = 0.334 foot
It is in the form of a cubiod. The formula for the surface area of a cuboid is given by :
A = 2(lb+bh+hl)
Put all the values in the above formula :
A = 2(1.5×0.5+0.5×0.334 +0.334×1.5)
A = 2.83 feet²
So, the surface area of this figure is 2.83 feet².
Please help me ASAP Please
Answer:
31x=217 x=7
Step-by-step explanation:
begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Solve the proportion.
3x / 10 = 9 / 4
Answer:
x =7.5
Step-by-step explanation:
We can use cross products to solve
3x / 10 = 9 / 4
3x*4 = 10*9
12x = 90
Divide each side by 12
12x/12 = 90/12
x =7.5
The function ƒ(x) = is translated 3 units in the positive y-direction and reflected across the y-axis. Select the correct equation for the resulting function.
Multiple choice answers in attachment image
Answer:
A) ƒ(x) = + 3
Step-by-step explanation:
A. f(x)=−x+3
Explanation:
It is stated that the function f(x) is translated 3 units in the positive y-direction. This means that the function f(x) is moved 3 units upwards.
In transforming functions, a upwards vertical translation (moving the function upwards) of a units is done by: f(x) + a.
This means that in order to move f(x) 3 units upwards, we need to add 3 to the given function. This now makes our function:
f(x)=x+3
Finally, it is also stated that it is reflected across the y-axis. For reflection across the y-axis, the transformation can be done by simply multiplying -1 to x only
f(x)=−1×x+3
f(x)=−x+3
Therefore, the answer is A
The function that is translated and reflected across y-axis, will be f(x) = √(-x) + 3. Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry. But flip the image.
Translation does not change the size and shape of the geometry. But change the location of the shape.
The function is given below.
f(x) = √x
The function is translated 3 units in the positive y-direction. Then add 3 in the function. Then the function will be
f(x) = √(x) + 3
Then the function is reflected across the y-axis. Then replace x with the negative x, then the function will be
f(x) = √(-x) + 3
The function is translated 3 units in the positive y-direction and reflected across the y-axis, then the function will be f(x) = √(-x) + 3.
Then the correct option is A.
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Please tell me the letter of the answer
Answer:
C 37.5
Step-by-step explanation:
1 inch is 30 feet. so feet is 30 x [number of inches]. 30 x 1.25 = 37.5
Tan(43)=1347/x
Can someone help please
the answer is ssmsmsmsmsmememememeememekekeke
Answer:
Step-by-step explanation:
tan(43) = 1347/x
Multiply by x to bring it to the other side.
x*tan(43) = 1347
Divide by tan(43) to get x by itself.
x = 1347/tan(43)
Use the tan and cot relationship.
x = 1347 * cot(43)
Multiply.
x ≈ 1444.5
In the example below, check all the answers that are TERMS.
8x + 7 - y
y
8x
+
7
Answer: 8x, 7,
Step-by-step explanation: Terms are separated with an addition or subtraction sign.The terms for 8x + 7 - y are:8x, 7, - yHope this helps!
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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-2log (6x + 1) = -6.
Write an inequality for the graph
The inequality that represents the line in the figure will be y > - (2/3) x + 3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
Simplify the equation, then we have
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
(y - 3) > - (2/3)x
y > - (2/3) x + 3
The disparity that addresses the line in the figure will be y > - (2/3) x + 3.
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54/6 divided by 9 plz help :)
While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?
The number of suspects had less than two prior arrests are 3.
Given that, While reviewing the previous day’s arrest report.
Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.
Here, x+y=5 -----(i)
2x+3y=12 -----(ii)
From equation (i), x=5-y in equation (ii), we get
2(5-y)+3y=12
10-2y+3y=12
10+y=12
y=2
Substitute y=2 in equation (i), we get
x+2=5
x=3
Therefore, the number of suspects had less than two prior arrests are 3.
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