Answer:
2 cups
Step-by-step explanation:
If 1/2 makes 1/4 of the recipe, all you have to do is times 1/2 by 4:)
The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
is gun’s velocity of pushing behind?
answer fast please
Answer:
The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\) and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)
There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents the probability of randomly selecting a blue marble, replacing it, and then randomly selecting a red marble? StartFraction 4 over 10 EndFraction (StartFraction r over 10 EndFraction) StartFraction 4 over 10 r EndFraction (StartFraction 4 over 10 r EndFraction) StartFraction 4 over 10 + r EndFraction (StartFraction r over 10 + r EndFraction) StartFraction 4 over 10 r EndFraction (StartFraction r over 10 r EndFraction)
Answer:
4/ (10+r) * r/ (10+r)
Step-by-step explanation:
four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag = 4+r+6 = 10+r marbles
P( blue) = blue marbles / total marbles
= 4/ (10+r)
Then replace
P( r) = red marbles / total marbles
= r/ (10+r)
P( blue replace ,red) =P ( blue ) * P(red)
= 4/ (10+r) * r/ (10+r)
= 4r / ( 10+r) ^2
Answer:
C. 4/10+r (r/10+r)
Step-by-step explanation:
EDG20
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
Please help and i will brainliestttt
Answer:
7/3 cm per hour
Step-by-step explanation:
Answer: 7/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
Step-by-step explanation:
7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
7 is for how much snow fell and the 3 is from how much time
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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Write the number in Scientific notation form.
0.0755
Answer:
The scientific notation will be 7.55 x 10^-2
Step-by-step explanation:
You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right
Hope this helps :)
Answer:
7.55 x 10⁻²
Step-by-step explanation:
0.0755
As we move the decimal two spaces to the right it will be a negative integer.
7.55 x 10⁻²
Look at attached image.
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.
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5. The dimensions of a sandbox can be represented as (x+2) inches and (x+1) inches. The value of the area, in square inches, of the sandbox is equal to the value the perimeter in inches. Write an equation that can be used to find the value of x.
x² - x - 4 = 0 is the equation that can be used to find the value of x.
Given,
The dimensions of a sand box is given as (x + 2) inches and (x + 1) inches.
The value of the area, in square inches, of the sandbox is equal to the value the perimeter in inches.
We have to find an equation that can be used to find the value of x;
Here,
Consider the sand box as a rectangle.
Area of rectangle = length x width
That is,
Area of sand box = (x + 2) (x + 1) = x² + x + 2x + 2 = x² + 3x + 2
Now, Perimeter of rectangle = 2(length + width)
That is,
Perimeter of sand box = 2(x + 2 + x + 1) = 2(2x + 3) = 4x + 6
Now,
Equate both the equations;
x² + 3x + 2 = 4x + 6
x² + 3x + 2 - 4x - 6 = 0
x² - x - 4 = 0
Therefore,
The equation that can be used to find the value of x is x² - x - 4 = 0
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Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
Pls help I need help
Answer:
10x + 2
Step-by-step explanation:
lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2
h→0
The vertices of a square are located at (0,2)(2,0)(0,-2) and (-2,0) select all transformations that will carry this square onto itself
A. Reflection across the line y= x
B. Reflection of costs the line Y = -x
C. Reflection across the X axis
D. 45° rotation about the origin
E. 90° rotation about the origin
Find the median of the set of data. 30, 16, 49, 25
Answer:
16,25,30,49
25+30=55
55÷2=27.5
Step-by-step explanation:
median means the middle value of any set of data so first arrange the data into ascending order.
16, 25, 30, 49
the data is even so we take both the middle value , add it and divide it with 2
25+30=55
55÷2=27.5
4x^2-9×-9=0 solve using quadratic equation
f(x) = 3x² - 5x+20
Find f(-8)
Answer:
Substitute x = -8 into f(x).
f(-8) = 3(-8)² - 5(-8) + 20
= 3(64) + 40 + 20
= 192 + 60
= 252
Describe the transformation of f(x) to g(x).
A. f(x) is shifted up 1 unit to g(x).
B. f(x) is shifted down pi/2 units to g(x).
C.f(x)is shifted up pi/2 units to g(x).
D. f(x) is shifted up 2 units to g(x).
The transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The graph of g(x) passes through y = 1The graph of f(x) passes through y = 0So, we have
Difference = 1 - 0
Evaluate
Difference = 1
This means that the transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
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WILL GIVE TRUE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
Answer:
y intercept = +4
slope = +2
domain = (-2,0)
range = (4,0)
Graph is increasing
x intercept = -2
Step-by-step explanation:
Line hits y axis at point 4
Slope is calculated by rise over run (2/1)
Domain is x,y listed
Range is y,x listed
Line is going up
Line hits x axis at -2
The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies
Answer:
different days of the week Do not have the same frequency.
Step-by-step explanation:
Given the data:
Observed values :
Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130).
H0 : frequency are the same
H1 : frequency is not the same
Expected value is the same for all days:
Σ (observed values) * 1/ n
n = number of days in a week. = 7
Expected value = (114+152+160+164+179+196+130) / 7 = 156.428
χ² = Σ (observed - Expected)²/Expected
χ² = (11.508 + 0.125 + 0.082 + 0.366 + 3.257 + 10.01 + 4.465)
χ² = 29.813
The Pvalue(29.813, 6) ;
df = 7 - 1 = 6
The Pvalue(29.813, 6) = 0.000043
α = 0.01
Since, Pvalue < α ; Reject H0 ; and conclude that, different days of the week Do not have the same frequency.
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
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Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden
Answer:
a. Coplanar
Step-by-step explanation:
To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line
Answer: A. Coplanar
Step-by-step explanation:
This Venn diagram represents the science subjects studied by students what is the probability chosen at random that that child does not study chemistry
Answer:
0.49
Step-by-step explanation:
From the Venn diagram:
The number of students that study biology and physics = 2
The number of students that study biology and chemistry = 6
The number of students that study chemistry and physics = 4
The number of students that study only physics = 5
The number of students that study only biology = 7
The number of students that study only chemistry = 8
The number of students that study all 3 subjects = 3
The number of students that study none = 6
Therefore the total number of students = 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 = 41 students
The number of students that study chemistry = 8 + 6 + 3 + 4 = 21 students
The number of student that does not study chemistry = 41 - 21 = 20 students
the probability chosen at random that that child does not study chemistry = number of student that does not study chemistry / total number of students = 20/41 = 0.49
The inequality x S-8 would represent which of the following values?
find the inverse of the one-to-one function f(x)=-8x+8
Answer:
\(\huge\boxed{f^{-1}(x)=-\dfrac{1}{8}x+1}\)
Step-by-step explanation:
\(f(x)=-8x+8\to y=-8x+8\)
change x with y
\(x=-8y+8\)
solve for y
\(-8y+8=x\) subtract 8 from both sides
\(-8y+8-8=x-8\)
\(-8y=x-8[\tex] divide both sides by (-8)
\(\dfrac{-8y}{-8}=\dfrac{x}{-8}-\dfrac{8}{-8}\\\\y=-\dfrac{1}{8}x+1\)
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
The rectangular floor of a classroom is 38 feet in length and 20 feet in width. A scale drawing of the floor has a length of 19 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 2 2/5 feet?
Answer:
$7.20
Step-by-step explanation:
1/3 x 2.4/x = 7.20
For \(2\frac{2\\}{5}\) feet, lace would cost 7.2 dollars as per the law of proportionality.
What is the law of proportionality?When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.
Given, Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. Since,
1 feet lace = 3 dollars
\(2\frac{2}{5}\) or 12/5 feet lace = 3 * 12/5 = 7.2
Therefore, According to the rule of proportionality, lace would cost 7.2 dollars for 12/5 feet.
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At the local convenience store, 7 bags of chips and 3 containers of dip cost $33.
However, 3 bags of chips and 4 containers of dip cost $25. What is the cost of
one bag of chips and one container of dip? Hint use
Answer:
So, bags are $3 and containers are $4.