This is why because
Parabola is symmetric on both sides of vertexThe x coordinate of vertex is the axis of symmetry for parabola.So reflection of only one side helps us in shifting the domain and range to its inverseA tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table?
2 ft by 6
Dure hope this helps you
Answer: 2ft by 6
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Janelle babysat for 6 hours at an hourly rate. After she got paid she spent $12 at Walmart. She came home with $36. How much money did she make per hour?
Please explain with steps :)
Answer:
$8/hour
Step-by-step explanation:
We will start by finding how much money she made before spending it. The amount of money she took home added to how much money she spent will give us this. ([tex]12 + 36 = 48[/tex]). This means she made $48 before spending it.
Now we can solve for her wage. Let [tex]x[/tex] be her hourly wage
(the 6 is the number of hours she worked, this multiplied by her wage should give us 48)
[tex]6x = 48\\x = 8[/tex]
This means that she made $8/hour.
That is the answer
- Kan Academy Advance
Expand the expression to yield a trinomial of the form
ax² + bx + c.
(2x + 3)²
Step-by-step explanation:
(2x + 3)(2x + 3)
4x² + 6x + 6x + 9
4x² + 12x + 9
find all real numbers x such that
6x-21>5
[tex]~~~~~~6x-21 > 5\\\\\implies 6x > 5+21\\\\\implies 6x > 26\\\\\implies x > \dfrac{26}6\\ \\\implies x > \dfrac{13}{3}\\[/tex]
What is the speed in m/s of a car that travels 30 km in 20 m?
Answer:
25m/s
Step-by-step explanation:
distance = 30km = 30× 1000m
time = 20 min = 20 × 60 = 1200sec
we know,
speed = distance/time taken
= 30000/1200
= 25m/s
what is 3/7 divided by 3/7 equal to and simplified
Answer:
1
Step-by-step explanation:
3/7 divided by 3/7 is nothing but
3/7 times 7/3 because of the keep, change, flip rule.
3/7 times 7/3 is nothing but 21/21
21/21 simplifies to 1/1
1/1 = 1
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What is the surface area of a half sphere with a diameter of 16?
Answer:
603.185789 m2
Step-by-step explanation:
603.185789 m2 or 192 π m2
formula is [tex]3\pi r^2[/tex]:
3 x pi x 8^2 = 603.185789489
Clint is interested in making an offer on a house with hardwood floors that will need to be replaced. The hallway is 18 feet by 6 feet. The kitchen is 20 feet by 30 feet. The living room is 25 feet by 45 feet. There are two bedrooms, which measure 12 feet by 16 feet each, plus a master bedroom that is 14 feet by 20 feet. If the cost of the flooring is $5.48 per square foot, and the cost of installation is $1.49 per square foot, how much can Clint plan to spend to replace the floors
The amount of money Clint will plan to spend to replace the floors is $17404.09
How to find the cost to replace the floor?The hardwood floor is rectangular.
Therefore,
area of hallway = 18 × 6 = 108 ft²
area of the kitchen = 20 × 30 = 600 ft²
area of the living room = 25 × 45 = 1125 ft²
area of each bedroom = 12 × 16 = 192 ft²
area of master bedroom = 14 × 20 = 280 ft²
Hence,
cost of flooring per square foot is $5.48
total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56
Cost of installation is $1.49 per square.
total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53
Total amount to replace the floor = 13683.56 + 3720.53 = $17404.09
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A hiker walks x metres up a hill at 6/5 m/s and walks back down the same path to where they started at 2 m/s.
Give a simplified expression for the total time in seconds of the walk in terms of x (showing working out).
The total time in seconds of the walk-in terms of x is given as (4/3)x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the distance walked, hence:
Total time = [x / (6/5)] + x/2 = (4/3)x
The total time in seconds of the walk-in terms of x is given as (4/3)x
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What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
If you replace the outlier of 113°F with 100°F, what happens to the range? Why do you think this occurs?
If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees.
What is the outlier about?In the case above, by replace the outlier of 113°F with 100°F, IQR will not change due to the fact that the q1 and q3 values are not influence by the outlier.
But the range will change from 42 degrees to 29 due to the fact that
113 - 71 = 42 and
100 - 71 = 29
Therefore, If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees .
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which set of coordinates will provide the vertices for 90 degree clockwise rotation of ABC around point C?
Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)
The number of games Ben predict Orioles will win this year is 64 games
How to find percentage?Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
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Find the area of AAOB
9√3 un
3√3 um
4.5/3 2
The area of the triangle AOB is 9√3 square units
How to determine the area of AOB?The triangle AOB is an equilateral triangle with the following parameters:
Side length, x = 6
Angle, y = 60
The area of the triangle is then calculated using:
Area = 0.5 * x^2 * sin(y)
So, we have:
Area = 0.5 * 6^2 * sin(60)
Evaluate
Area = 18 * 0.5√3
Evaluate the product
Area = 9√3
Hence, the area of the triangle AOB is 9√3 square units
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Find the area of the shaded region, leave in terms of pi
Answer:
Answer:16π
Step-by-step explanation:
As we know,
Area of cicle=πr^2
=π(4)^2
=16π
Find the areas of the trapezoids.
Answer:
7.5 sq. un
Step-by-step explanation:
Hello!
The height is 3 units, the base is 4 units, and the other base is 1 unit.
Using the trapezoid area formula, [tex]A = \frac12(b_1+b_2)h[/tex], we can plug the values in and solve.
Solve:
[tex]A = \frac12(b_1+b_2)h[/tex][tex]A = \frac12(1 + 4)3[/tex][tex]A = \frac12(5)(3)[/tex][tex]A = 2.5(3)[/tex][tex]A = 7.5[/tex]The area is 7.5 sq. un
Solve PV = nRT for R.
Answer:
[tex] R = \dfrac{PV}{nT} [/tex]
Step-by-step explanation:
[tex] PV = nRT [/tex]
[tex] nRT = PV [/tex]
[tex] R = \dfrac{PV}{nT} [/tex]
What is the surface area of this cylinder? Use 3.14 and round your answer to the nearest hundredth. 8 ft 15 ft
The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The surface area of the cylinder:
[tex]\rm A =2\pi rh+2\pi r^2[/tex]
r = 8 ft
h = 15 ft
[tex]\rm A =2\pi (8)(15)+2\pi (8)^2[/tex]
A = 1155.52 square ft
Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.
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Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that apply. StartFraction 3 over 8 EndFraction (Negative StartFraction 6 over 7 EndFraction) 1 and StartFraction 2 over 9 EndFraction (2 and StartFraction 6 over 17 EndFraction) Negative StartFraction 9 over 20 EndFraction (3 and four-fifths) Negative one-third (Negative two-thirds)
Multiplication is the process of multiplying. The products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two positive numbers and the product of two negative numbers both are positive while the product of a negative number and a positive number is negative. Therefore, the product of -2 3/7 and -6/11 is positive, since both are negative.
A.) 3/8 × (-6/7) = Negative
B.) 1 2/9 × 2 6/17 = Positive
C.) -9/20 × 3 4/5 = Negative
D.) -1/3 × -2/3 = Positive
Hence, the products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
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Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that
Which of the following shows how to calculate the probability of randomly selecting a cat or dog?
P(cat) + P(dog)
P(cat) − P(dog)
P(cat) · P(dog)
P(cat) ÷ P(dog)
The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive
Probability of mutually exclusive eventsIf we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)
Probability of randomly selecting a cat or dog
Let
P(cat) = probability of selecting a cat and P(dog) = probability of selecting a dogSo, probability of randomly selecting a cat or dog is
P(cat or dog) = P(cat) + P(dog)
So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
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Write each expression as a single number:
a)2°+2raise to the power -1 + 2 raise to the power -2
b)10 raise to the power -1 +10°+10 raise to the power 3
Please explain it all I can’t understand it
Answer:
B) 2º+2=4raise ^that 4 to the power of -1+2 like this
4-1+2=5raise ^to the power -2 like this
5-2=3 <Awnser
triangle ABC has perimeter 22cm
AB=8cm
BC=5cm
by calculation deduce whether triangle ABC is a right-angled triangle
Answer:
the triangle is not right-angled
Step-by-step explanation:
First of all, we are told that the perimeter of the triangle is 22 and the two sides are given, 8cm and 5cm respectively. This means that the third side is: 22-(8+5) = 9cm
From this as see that 9cm is the highest length we have and if it were a right-angled triangle, this could be the hypotenuse. Now, to be sure of the initial response we use the Pythagoras theorem. We know that the hypotenuse² = adjacent² + opposite²
let's use the measurements we are given in the question
8²+5²=AC²
64+25=89
AC=√89
AC=9.433981132
AC =9.43cm
and when we add 8+5+9.43 to calculate the perimeter we get 22.43 which is not the initial perimeter, this the triangle isn't right-angled
A sample of 50 11th graders were asked to select a favorite pattern out of 6 Choices the following display shows what their favorite color patterns were the counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who like pink polka dots is 14.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The complete question is:
A sample of 50 11th graders was asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were.
blue on gray 4green 9pink polka dots?purple 11red and orange stripes 9yellow 3The counts have been recorded in the accompanying table according to pattern and the number of students who selected the pattern. what is the missing value in the table?
Given the total number of students in the sample was 50, therefore, the number of students who like pink polka dots is:
Number of students = 50 - (4+9+11+9+3)
= 14
Hence, the number of students who like pink polka dots is 14.
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Graph the inequality y ≥ 3x + 3.
Answer:
Step-by-step explanation:
You can graph the inequality by...
What is limit of (x cubed 3 x squared 4 x minus 12) as x approaches negative 3? –78 –24 30 54
The limit of the expression as x approaches -3 is -24
How to determine the limit of the expression?The expression is given as:
[tex]x^3 + 3x^2 + 4x - 12[/tex]
As x approaches -3.
The limit expression becomes
[tex]\lim_{x \to -3} x^3 + 3x^2 + 4x - 12[/tex]
Substitute -3 for x in the expression
[tex]\lim_{x \to -3} (-3)^3 + 3(-3)^2 - 4*3 - 12[/tex]
Evaluate the expression
[tex]\lim_{x \to -3} -24[/tex]
Hence, the limit of the expression as x approaches -3 is -24
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John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his first exam, he got eight hours of sleep and scored 70 on the exam. To the nearest tenth, how many hours does John believe he must sleep the night before his second exam so that the average of his two exam scores is an 80?
Answer:
Step-by-step explanation:
ohn will need to sleep for 10.3 hours before his second exam so that the
he average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get an average of 80
70+ x = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
What is |-8| + |6| ?
GIVING 50 POINTS NEED HELP ASAP
Answer:
14
Step-by-step explanation:
the absolute value of -8 is 8
the absolute value of 6 is 6.
6 + 8 = 14
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Answer:
14
Step-by-step explanation:
The absolute value of -8 is 8. and the absoluite value of 6 is 6. 6 plus 8 is 14
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the remainder of (h4 h2 – 2) ÷ (h 3). the remainder is .
The remainder of (h4 h2 – 2) ÷ (h 3). The remainder is 88.
RemainderGiven:
(h⁴ + h² – 2) ÷ (h + 3)
Using reminder theorem
First step is to equate:
h + 3 =0
h = - 3
Second step is to determine the remainder
Substitute h = - 3 into (h⁴ + h² – 2)
Hence:
h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2
h⁴ + h² – 2= 81 + 9 - 2
h⁴ + h² – 2=90-2
h⁴ + h² – 2= 88 remainder
Therefore the remainder is 88.
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A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed
The required sample size is equal to 273.
We have given that,
A political candidate has asked you to conduct a poll to determine what percentage of people support her.
We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,
p=0.5 (default since no value is given)
q=1-0.5=0.5
margin of error=5%=0.05
z_c=1.65 at 90% confidence.
What is the formula for marginal error?The margin of error:
[tex]e= sqrt(p(1-p)/n)*z_c[/tex]
Use the given value in the above formula we get,
0.05=sqrt(0.5*0.5/n)*1.65
n= (0.5*1.65/0.05)^2=272.25
Therefore, The required sample size is equal to 273.
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What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
9 yards
Step-by-step explanation:
Length of missing leg = √ Hypotenuse² - Adjacent side²
b = [tex]\sqrt{15^{2} - 12^{2} } \\\sqrt{225 - 144} \\\sqrt{81} \\[/tex]
b = 9 yd