What is the scale factor from figure A to Figure B
Answer:
2
Step-by-step explanation:
It decreases by two, if you look at the side of Figure A you'll see that it is four squares, and Figure B is two squares. So the scale factor is 2.
Como expresar este ejercisio por cada 6 cuadrados hay 3 círculos.
The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:
Ratio FormProportional statement Equation form How to express the exercise ?This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.
The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.
You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.
There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.
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The translated question is:
How to express this exercise for every 6 squares there are 3 circles.
graph by completing the square X2 + y2-6 y = 7
The graph of the equation of the circle x² + (y - 3)² = 4² is drawn below.
Given that:
Equation, x² + y² - 6y = 7
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
Convert the equation into a standard form, then we have
x² + y² - 6y = 7
x² + y² - 6y + 9 = 7 + 9
x² + (y - 3)² = 16
x² + (y - 3)² = 4²
The graph of the circle is drawn below.
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help me please!!! :)
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
Write an equation that represents the line.
Use exact numbers.
The equation of the line passing through the points is y = x + 2
How to determine the equation?The points are (-1, 1) and (4, 6).
The slope is calculated using:
m= (y2 - y1)/(x2 - x1)
So, we have:
m = (6 - 1)/(4 + 1)
Evaluate
m = 1
The equation of the line is then calculated as:
y = m(x -x1) + y1
This gives
y = 1 *(x + 1) + 1
Evaluate
y = x + 2
Hence, the equation of the line passing through the points is y = x + 2
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Every year, 4% of people drop out of their course at
SmartyPants University. 3,168 people made it to the end of this
year. How many people started this year?
A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function.=L(d)=189-7dAnswer the following questions.(a)How many days will it take the crew to lay all the track?days(b)How many miles of track does the crew have left to lay after 17 days?miles
Answer:
(a) 27 days
(b) 70 miles
Step-by-step explanation:
Given that the track remaining to be laid is L(d) = 189 -7d, you want (a) the number of days to lay all the track, and (b) the amount remaining after 17 days.
(a) Total lengthWhen the amount remaining is 0, the number of days that have elapsed is ...
0 = L(d)
0 = 189 -7d
7d = 189 . . . . . . add 7d
d = 27 . . . . . . . . divide by 7
It will take the crew 27 days to lay all the track.
(b) RemainingThe track remaining after 17 days is ...
L(17) = 189 -7(17) = 189 -119 = 70
70 miles of track remain to be laid after 17 days.
<95141404393>
could anyone help me with this question?
Step-by-step explanation:
Angle 6 is equal to angle 2
angle 2 and angle 3 form a straight line = 180 degrees
so angle 2 = 60 degrees
angle 6 = 60 degrees
Since sum of interior angles is equal to 180°, we get
<3 + <6 = 180°
120° + <6 = 180° since <3 = 120°
<6 = 180° - 120°
<6 = 60°
You can also prove this by measuring the angle with a protector:)
6) If sin(x)= and sec(y) = where x and y lie between 0 and x/2, evaluate sin(x + y). 8) Find all values of x such that sin 2x sin x and 0 sxs 2x. (Enter your answers as a comma-separated list.) x=
6)\(To evaluate sin(x+y), we need to use the identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b).\)
\(Hence, sin(x+y) = sin(x)cos(y) + cos(x)sin(y)We are given that sin(x)= and sec(y) = We need to find out the value of cos(y) as we already know the value of sin(x)cos(y) = 1/sec(y) = cos(y)sin(y) = sin(x)\)
\(Therefore, cos(y) = 1/sec(y) = 1/cos(y)cos(y) = 1/cos²(y) => cos²(y) = 1 => cos(y) = ±1\)
\(Therefore, sin(x+y) = sin(x)cos(y) + cos(x)sin(y)\)
On substituting the values of sin(x) and cos(y), we get,
\(sin(x+y) = ×1 + cos(x)× = + cos(x)8) We are given that sin 2x sin x and 0 sxs 2x.\)
\(Now, sin 2x sin x=> 2sin(x)cos(x) × sin(x)=> 2sin²(x)cos(x)cos(x) = 0\)=> \(cos(x) = 0 or 2sin²(x) = 0=> cos(x) = 0 or sin(x) = 0\)
\(For 0 sxs 2x, the solutions are:x = 0, 2π, 4π, ... and x = π, 2π, 3π, ...\)
\(Hence, the required values of x are 0, π, 2π.\)
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1. Simplify each of the following.
(a) 4(6-1)-9
Answer:
11
Step-by-step explanation:
4 (6-1)-9
4 (5) - 9
20 - 9
= 11
round 8.6 to the nearest whole number
Answer:
9
Step-by-step explanation:
Since one place to the right is greater than or equal to 5 you round up.
Consider the following problem with 5 activities A1, A2, A3, A4, A5.
Activity A1 can be started immediately and take 2 days to complete.
Activity A2 depends on A1, and takes 2 days to complete.
Activity A3 depends on A2, and takes 2 days to complete.
Activity A4 depends on A3, and takes 2 days to complete.
Activity A5 depends on A4, and takes 2 days to complete.
Moreover, at the end of activity A4, there is 20% chance that we will have redo activity A3. Assume that this rework can happen only once.
Required:
What is the probability of completing the project in 10 or fewer days?
The variance of the project completion time is 0, which indicates that the probability of completing the project in 10 or fewer days is 0 or approximately 0 (rounded to four decimal places). The earliest completion time (ECT) of the project is the shortest time to complete the project by the most favorable scenarios.
The critical path is A₁→A₂→A₃→A₄→A₅, and the expected duration of the project is 10 days. The 20% chance of rework occurs only once, which will increase the duration of Activity A₃ by 2 days.
The resulting duration of Activity A₃ will be 4 days instead of 2 days. However, there is no impact on the expected duration of the entire project as there is a float of 2 days for Activity A₄.
The rework has no impact on the critical path of the project, which is A₁→A₂→A₃→A₄→A₅. The expected duration of the project is 10 days, which is calculated as follows: ECT = the sum of expected durations of the activities on the critical path
= 2 + 2 + 2 + 2 + 2
= 10 days
The variance of the project completion time is 0, which indicates that the probability of completing the project in 10 or fewer days is 0 or approximately 0 (rounded to four decimal places).
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-4d - 5 = -1 answer for me pls
\(\\ \sf\longmapsto -4d-5=-1\)
Cancel - from both sides\(\\ \sf\longmapsto -(4d+5)=-(1)\)
\(\\ \sf\longmapsto 4d+5=1\)
\(\\ \sf\longmapsto 4d=1-5\)
\(\\ \sf\longmapsto 4d=-4\)
\(\\ \sf\longmapsto d=\dfrac{-4}{4}\)
\(\\ \sf\longmapsto d=-1\)
14/15 divided by 3/5 HELP PLEASE
Answer:
14/15÷3/5 =1 5/9
Step-by-step explanation:
14/15÷3/5=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
14/15×5/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
14×5 15×3=7045
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 45 using
GCF(70,45) = 5
70÷5 45÷5=14/9
The fraction
14/9
is the same as
14÷9
Convert to a mixed number using
long division for 14 ÷ 9 = 1R5, so
14/9=1 5/9
Therefore:
14/15÷3/5=1 5/9
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1. For each of the following ionic compounds, write chemical equations to represent their dissociations in water (don't forget to balance them!!!): Lithium chloride Magnesium bromide Potassium sulphide Sodium nitride Calcium carbonate Iron (II) nitrate Copper (II) phosphate.
For the dissociation of ionic compounds in water, the balanced chemical equations are as follows:
Lithium chloride:
LiCl (s) → Li+ (aq) + Cl- (aq)
Magnesium bromide:
MgBr2 (s) → Mg2+ (aq) + 2 Br- (aq)
Potassium sulphide:
K2S (s) → 2 K+ (aq) + S2- (aq)
Sodium nitride:
Na3N (s) → 3 Na+ (aq) + N3- (aq)
Calcium carbonate:
CaCO3 (s) → Ca2+ (aq) + CO3^2- (aq)
Iron (II) nitrate:
Fe(NO3)2 (s) → Fe2+ (aq) + 2 NO3- (aq)
Copper (II) phosphate:
Cu3(PO4)2 (s) → 3 Cu2+ (aq) + 2 PO4^3- (aq)
These equations represent the dissociation of the given ionic compounds when they come into contact with water. The "(s)" indicates a solid state, while "(aq)" represents an aqueous solution where the ions are separated and dispersed in water. The balanced equations ensure that the number and type of atoms on both sides of the equation are equal, satisfying the law of conservation of mass.
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what is a=1/4 b if b is the subject?
Answer:
b = 4a
Step-by-step explanation:
Given
a = \(\frac{1}{4}\) b
Multiply both sides by 4 to clear the fraction
4a = b
Find the value of 3 + 2 • (8 – 3)
(a) 25,
(b) 13,
(c) 17,
(d) 24,
(e) 15.
Answer:
Step-by-step explanation:
3+2(8-3)
3+2*5
3+10
13
use BODMAS rule (Bracket Of Division Multiplication Addition and Subtraction).
A standing wave can be mathematically expressed as y(x,t) = Acos(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The displacement will only vary with time due to the sinusoidal function of the angular frequency w.
At time t=0,
the displacement of the string y (x,0) can be expressed as
y(x,0) = Acos(kx)sin(0)
since the angular frequency w is equal to zero at time t=0.
The sine of 0 is equal to 0, which means that the entire expression for y(x,0) is equal to 0.
Therefore, the displacement of the string at time t=0 is 0,
which is expected since the standing wave is at its equilibrium position at this point in time. It is important to note that the max transverse displacement (amplitude)
A and wave number k will still play a role in the shape and behavior of the standing wave, but they do not affect the displacement of the string at time t=0.
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5
A Petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples
every hour.
Select the recursive and explicit formulas that model the scenario.
The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
Calculating the recursive and explicit formulas that model the scenario.From the question, we have the following parameters that can be used in our computation:
Initial = 250 bacterial cultures.Rate = triples every hour.This means that
Initial, a = 250 bacterial cultures.
Rate = 3
So, the recursive formulas is
f(n) = 3f(n - 1), where f(1) = 250
For the explicit formula, we have
f(n) = 250(3)ⁿ‐¹
Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹
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Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB. Lines C E and A D intersect at the point B. Angle A B C is labeled 37 degrees. Select all the true statements. Group of answer choices The measure of angle LaTeX: CBA C B A is equal to the measure of angle LaTeX: DBE D B E . The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 180 degrees. The measure of angle LaTeX: CBD C B D is equal to the measure of angle LaTeX: ABE A B E . The sum of the measures of angles LaTeX: CBD C B D and LaTeX: CBA C B A is 180 degrees. The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 90 degrees.
*see attachment below for the figure referred to
Answer:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:
<CBD and <ABE;
<CBA and <DBE
Thus:
m<CBD = m<ABE;
m<CBA = <DBE = 37°
Also, m<CBA + m<CBD = 180° (supplementary linear pair)
m<ABE + m<DBE = 180° (supplementary linear pair)
Therefore, the following statements are TRUE:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Mr. Macdonald has 480 animals on his farm . 0.5 of the animals arecows 1/8 are goats The remainder of the Animals are chickens and ducks if 33 1/3% are chickens how many ducks are on the farm?
Answer:
120
Step-by-step explanation:
480 total
1/2 = 240 are cows
1/8 = 60 are goats
remaining = 480-240-60 = 180 are chickens & ducks
33.3333% of 180 = chickens =180/3 = 60 chickens
so ducks = 180-60 =120
Answer:
120
Step-by-step explanation:
given that out of 480 animals 0.5 of the animals are cows . So ,
no. of cows = 0.5*480 = 240
Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,
no. of goats = 1/8*480 = 60
Total no. of goats and cows ,
= 240 + 60 = 300
No. of remaining animals= 480 -300 = 180
Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.
Percentage of ducks = (100 - 33⅓ )% = 66.67%
So the number of ducks would be ,
180 * 66.67/100 = 120
And we are done!
Which staqtement is correct regarding the measurements of the parallelogram? 4 (21) 1 2 3 4 6 & 7 9 10 11 12 13 14 15 16 17 18 The base is 6 and the height is 3, so the area is 6(3) - 18 square units. O The base is 8 and the height is 3, so the area is 8(3) - 24 square units. The base is 8 and the height is 4, so the area is 8(4) -32 square units, O The base is 8 and the height is 6, so the area is 8(6) -48 square units. Noxi Submit Save and Exit Mark this and return M
Answer:
The answer is C because I dont know
Una llave llena un tanque en 4 horas y el desagüe lo vacía en 6 horas. ¿En cuánto tiempo se llenará el tanque, si ambas llaves se abren al tiempo?
A. 10 horas y 15 min
B. 2 horas y 15 min
C. 12 horas y 15 min
D. 12 horas
Answer:
Creo que la respuesta sería B: 2 horas y 15 minutos.
Step-by-step explanation:
a ___ is one of two pieces of a double cone divided at the vertex.
A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.
When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.
The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.
A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.
Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.
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the title pattern shown was used in pompeii for paving. if the diagonals of each rhombus are 2 and 3 inches, what area makes up each cube in the pattrn
Each cube in the pattern has an area of 3 square inches.
To determine the area of each cube in the pattern, we need to find the area of each rhombus formed by the pattern.
The pattern consists of rhombuses, and we know that the diagonals of each rhombus are 2 inches and 3 inches.
The formula to find the area of a rhombus is given by:
Area = (d1 * d2) / 2,
where d1 and d2 are the lengths of the diagonals.
In this case, d1 = 2 inches and d2 = 3 inches.
Plugging the values into the formula, we get:
Area = (2 * 3) / 2
= 6 / 2
= 3 square inches.
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Jessica added the two distances in the table to get a sum of 26.95 miles.
Explain the steps you use to determine if Jessica’s answer is reasonable.
Answer: Reasonable
Step by Step:
You add week 1 and week 2
so, 11.9 + 15.05 = 26.95
That's basically it
The total distance travelled is 26.95, and the steps followed are given.
What is Sum?Sum is the output of the mathematical operation, Addition.
Jessica added the two distances in the table to get a sum of 26.95 miles.
The step followed to determine the sum of the distances is
Step 1:
Total distance travelled = Distance travelled in Week 1 + Distance travelled in Week 2
Step 2:
Total distance = 11.9 + 15.05
Total distance = 26.95 miles
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8. Jake wants to buy the foam gymnastic block shown. If the
foam used to make the gymnastic block costs $24.99 per
cubic foot, what is the cost of this block, to the nearest
dollar?
After answering the provided question, we can conclude that Therefore, cuboid the cost of the gymnastic block is $225.
what is cuboid?A cuboid is a solid or three-dimensional shape in geometry. A cuboid is a convex polyhedron with 8 coordinates, 12 sides, but rather 6 rectangular faces. A cuboid is another name for it. A box is a cuboid because it has six square faces. Objects unearthed in boxes include bricks and books. The following are the primary distinctions between cubic and cubic: In contrast to a cube's rectangular faces, the faces of a capsule are perfectly straight and equal in size. But even though the structures of both the cube and cuboid are similar, they differ significantly in terms of side length, horizontal, and area.
the volume of the block is:
Volume = length x width x height
Volume = 2 ft x 3 ft x 1.5 ft
Volume = 9 cubic feet
Now, to find the cost of the block, we can multiply its volume by the cost of foam per cubic foot:
Cost of block = Volume x Cost per cubic foot
Cost of block = 9 cubic feet x $24.99 per cubic foot
Cost of block = $224.91
Therefore, the cost of the gymnastic block is $225.
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What scale factor did Dionne use? 1/2 , 2/3 , 3/2 , 2
Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
Calculate the scale factor, using the ratio of corresponding sides, image to original.
Using the vertical line image = 4 and original = 6 , then
scale factor = \(\frac{4}{6}\) = \(\frac{2}{3}\)
A drawing of a basement uses the same scale as the Example. The basement is
28 ft wide and 35 ft long. How wide and long is the drawing? The scale is 4ft to 1 in
Answer:
We know that the actual basement is 28 ft wide and 35 ft long. The scale is 4 ft to 1 in, which means that for every 4 feet in real life, there is 1 inch on the drawing.
To find the width on the drawing, we need to divide the actual width by 4:
28 ft ÷ 4 ft = 7 inches
So the width on the drawing is 7 inches.
To find the length on the drawing, we need to divide the actual length by 4:
35 ft ÷ 4 ft = 8.75 inches
So the length on the drawing is 8.75 inches.
LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis means "of or belonging to letters or writing," giving the term literal equations its meaning. We can solve literal equations the same way we solve any other equation. We just need to be told which variable (letter) we are solving for. To solve a - 2 = 5 for a, we would add two to each side of the equation. To solve b - r = z for b, we would add r to each side of the equation. What would the resulting solution be ? b = z - r z = b - r r = b - z b = r + z
Answer:
D. b = r+z
Step-by-step explanation:
Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;
b-r+r = z+r
Since -r+r = 0, substitute:
b+0 = z+r
b = z+r
Hence the resulting equation when r is added to both sides of the equation is b = z+r
Hence option D is correct