The missing statement in the proof of the Quadratic Formula involves simplifying the right side of the equation by taking the square root of the numerator, resulting in x plus b over 2a equals plus or minus √((b^2 - 4ac)) all over 4a squared.
The missing statement in the proof of the Quadratic Formula, we need to simplify the right side of the equation:
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared
To simplify the right side, we can take the square root of the numerator and denominator separately:
√(b squared minus 4 times a times c) = √((b^2 - 4ac))
Now, substituting the simplified expression into the equation, we have:
x plus b over 2 times a equals plus or minus √((b^2 - 4ac)) all over 4 times a squared
This completes the missing statement in the proof of the Quadratic Formula.
In conclusion, the missing statement in the proof of the Quadratic Formula involves simplifying the right side of the equation by taking the square root of the numerator, resulting in x plus b over 2a equals plus or minus √((b^2 - 4ac)) all over 4a squared.
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In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
Answer:
Step-by-step explanation:
lets have the shirts represent s and the ties t.
1. 6s+3t=79.50
2. 3s+2t=41
These would be the equations.
you multiply the second equation by -2 to cancel s and add both equations.
6s+3t=79.50
-6s+-4t=-82
-1t=-2.5 (after adding you divide by -1)
t=2.5
You can then subsitute that in either equation.
I am going to ue teh second one.
3s+2t=41
3s+2(2.5)=41
3s+5=41 (subract 5 to isolate variable)
3s=36 (divide by 3 to isolate variable)
s=12
Hence, one shirt is 12$.
A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a prime number a. 0.45 c. 0.71 b. 0.55 d. 0.73 Please select the best answer from the choices provided A B C D
Answer: B
Step-by-step explanation:
The prime numbers here are outcomes 2, 3, and 5.
Therefore, we must add the frequency numbers for these prime numbers:
36 + 44 + 30 = 110
Out of 200 dice rolls, 110 were prime numbers. This can be represented as:
110/200 = 11/20 (fraction form)
= 0.55 (decimal form)
Therefore, the answer is b. 0.55
Help please !! need it asap
Answer:
AB = 6
m∠F = 70°
Step-by-step explanation:
1.) This is isosceles, from the angles you can tell
2.) Angles F and D are equal, this is also a form of isosceles
180-40 = 140
140/2 = 70
what does any order grouping mean when adding expressions
Which properties are used?
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
square root 3 minus X Minus x squared is equals to x - 2
Step-by-step explanation:
I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.
(1\6-1)(3-2/5)-(1/3-1/2)
Answer:
2 1/3 (simplified)
Step-by-step explanation:
(1/6 - 1) = -5/6
(1 = 6/6)
(3 - 2/5) = 2 3/5
[3= 18 (3 * 6)]
(1/3 - 1/2) = -1/6
(you can change both of the denominators to 6 by multiplying them both by 3 / 2
So the equation now is
(-5/6)(2 3/5) - (-1/6)
-5/6 * 2 3/5 = 2 1/6 (simplified)
2 1/6 - -1/6 = 2 1/3 (simplified)
Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.
Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Answer:
The percent markup is 91%.
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
write 11/12 demoniator 84 to a equivalent fraction
Answer:
77/84
Step-by-step explanation:
84 ÷ 12 = 7
Multiply the numerator and denominator by 7
[tex]\frac{11}{12}=\frac{11*7}{12*7}=\frac{77}{84}[/tex]
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
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both pictures go together
The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7
The probability that equals P(A and B) is P(B) * P(A | B)
How to calculate the probabilities of the eventsFrom the question, we have the following parameters that can be used in our computation:
The Venn diagram
Where, we have
A = 8
B = 7
A and B = 2
Neither = 1
Total = 14
So, we have
P(A) = 8/14 = 4/7
P(B) = 7/14 = 1/2
P(A and B) = 2/14 = 1/7
P(A | B) = (1/7)/(1/2) = 2/7
P(B) * P(A | B) = 1/2 * 2/7 = 1/7
How to calculate the probability that equals P(A and B)In (a), we have
P(A and B) = 1/7
Also, we have
P(B) * P(A | B) = 1/7
This means that the probability that equals P(A and B) is P(B) * P(A | B)
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What is 6 7/13 divided by 5
Answer:
17/13
Step-by-step explanation:
Answer:
[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
Rewrite 0.81 x
104 in scientific notation.
x 10
HELP ME
Answer:
Ok ill help i guess
Step-by-step explanation:
0.81 X 10000
A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?
Answer:
The question is uncomplete.
Step-by-step explanation:
Sorry but after you said
"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry
The statement that is true about the shape of the backyard is that: it is a rhombus.
What is a Rhombus?A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.
Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.
Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.
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Use the image to determine the type of transformation shown.
A. Reflection across the x-axis
B. Horizontal translation
C. Vertical translation
D. 180° clockwise rotation
The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation. Therefore, the correct answer is D. 180° clockwise rotation.
Based on the image provided, the type of transformation shown is a 180° clockwise rotation.
A 180° clockwise rotation occurs when each point in the original shape is rotated by 180° in a clockwise direction around a fixed point. In the given image, we can observe that the original shape has been rotated by half a complete revolution, resulting in the new shape being a mirror image of the original shape but in the opposite orientation.
This transformation is evident by comparing the positions of the vertices and sides of the original shape to those of the transformed shape. The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation.
Therefore, the correct answer is D. 180° clockwise rotation.
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Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?
Answer:
?????
Step-by-step explanation:
12x 0.25=? ?x 5= $?
Which figures can have all of the properties shown below?
2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal
square, pentagon, rectangle
trapezoid, triangle, square
quadrilateral, square, rectangle
rectangle, hexagon, square
Answer:
Quadrilateral, square, rectangle
Step-by-step explanation:
An object have parallel sides if the sides have the same distance apart and they never meet.
Quadrilaterals usually have parallel sides
Polygons including triangles and pentagons do not have parallel sides
the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other
Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal
Is 8/10 greater than 63/100
Answer:
8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher
Step-by-step explanation:
Answer:
true :D
8/10 = 80/100 which is greater than 63/100
Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a 50%, percent chance of being successful and a 50%, percent chance of failing.
Each business will make Ebru $200 if it succeeds or lose her $200 if it fails.
if X is a random variable that represents Ebru's profit from starting these 2 businesses, draw a graph to show the probability distribution for all possible values of X.
Answer:
Step-by-step explanation:
The inverse of x→y is:
Answer:
This is invertible
Step-by-step explanation:
pls give brainliest!
have a great day!
The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?
192 = 16w -(solve for w)
Area =L×W
192=16W
192/16 =W
W=12cm
what is the cube root of -0.216?
Answer:
-0.6
Step-by-step explanation:
pls help me :( Find the value of x. Round to the
nearest tenth.
Answer:
11.3
Step-by-step explanation:
Set up your equation:
a² + b² = c²
Plug in your values:
a² + 4² = 12²
Get a² by itself:
a² = 12² - 4²
Square your numbers and subtract:
a² = 144 - 16
a² = 128
Find the square root of both sides:
√a² = √128
a = 11.3
Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!
he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
Which of the following grids does the
shaded portion represent 10% of the grid?
Answer:
C
Step-by-step explanation:
Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!
Answer:
meow meow ............
.......
what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a
Answer:
A, resolving conflicts and negotiating with others
D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.
Step-by-step explanation:
Answer:
its A,B,D,F
developing objectives and strategies
assisting and caring for others
establishing and maintaining interpersonal relationships
interpreting the meaning of information for others
PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55
Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?
Ac=-7 (correct answer on edg)
B.c=-1
C.c=4
D.c=7
In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students
Answer: it's 30 I rook the quiz and got 100
Step-by-step explanat