Answer:
x = - 1
Step by step explanation:
The rational expression will be undefined if the denominator is zero.
x+1 = 0
x = -1
Hence, for x = -1, the given expression will be undefined.
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
i need help it’s due at the end of class
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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A 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
hope this helps
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
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
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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which set of coordinates will provide the vertices for 90 degree clockwise rotation of ABC around point C?
Roll of the Dice Are the chances of rolling a 3 with one die the same as the chances of rolling a total of 6 with two dice? If not, which has the higher probability ?
Answer:
The probability is the same.
Step-by-step explanation:
The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.
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
give brainliest please!
hope this helps :)
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
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
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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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 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 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 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
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 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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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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The volume of a cone is 736.853 cubic
inches. The height is 11 inches. Calculate the
diameter of the cone.
diameter of the cone=15.8inches
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
Graph the inequality y ≥ 3x + 3.
Answer:
Step-by-step explanation:
You can graph the inequality by...
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
What is the first step in constructing an incenter to triangle xyz?
The first step is constructing an angle bisector for one of the angles of the triangle.
We have to find the first step for the constructing an inscribed circle
What is the incenter triangle?
The incenter of a triangle is the point from which the distances to the sides are equal, in this point we can start to construct the inscribed circle in the triangle because the incenter would also be the center of the circumference.
Therefore the first step in constructing an angle bisector for one of the angles of the triangle.
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Answer:
Construct the angle bisector of angle Y.
Step-by-step explanation:
I just took the test and got the answer correct :)
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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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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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]
Simplify the following.
a) 3×a×2× b
Answer:
first multiply numbrrs3*2=6ab
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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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
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