Answer:
x = -3.5
Step-by-step explanation:
Divide both sides by 1 to get rid of the 1
x - 2 = -5.5
Add 2 on both sides
x = -3.5
Answer:
x = -3.5
Step-by-step explanation:
1(x - 2) = -5.5
x - 2 = -5.5: Distributive property
x = -3.5: Subtraction property
equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?
The simplified form of expression is, 12x⁶.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √144 x³⁶
Now, By the property of square root;
⇒ √ ab = √a × √b
We get;
⇒ √144 x³⁶ = √144 × √x³⁶
And, By using the exponent property, we get;
⇒ xᵃᵇ = xᵃ × xᵇ
So, We get;
⇒ √144 x³⁶ = √144 × √x³⁶
= √144 × √x⁶ × √x⁶
= √12×12 × √x⁶ × √x⁶
= 12 × x⁶
= 12x⁶
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The value of car depreciates by 15% every year. if its present value is rs.80000 what is its value after 3 years.
name the property of real numbers illustrated by each equation
The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.
The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:
commutative property: This property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a * b = b * a.associative property: This property states that the grouping of numbers in addition or multiplication does not affect the result. For example, (a + b) + c = a + (b + c) and (a * b) * c = a * (b * c).distributive property: This property states that multiplication distributes over addition. For example, a * (b + c) = (a * b) + (a * c).identity property: This property states that there exist unique elements called identity elements for addition and multiplication. For addition, the identity element is 0, and for multiplication, the identity element is 1. For example, a + 0 = a and a * 1 = a.inverse property: This property states that every real number has an additive inverse and a multiplicative inverse. The additive inverse of a number a is -a, and the multiplicative inverse of a non-zero number a is 1/a. For example, a + (-a) = 0 and a * (1/a) = 1.Learn more:About property of real numbers here:
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Find the volume of the solid generated by revolving the region bounded by the parabola y=x^2
and the line y=1
about the line y=−1
.
The volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1 is -8π/5 cubic units.
To find the volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1, we can use the method of cylindrical shells.
The volume (V) can be calculated using the formula:
V = ∫(2π * r * h * dx)
In this case, the distance from the axis of rotation to the function y = x² is (x² - (-1)) = x^2 + 1,
and the distance from the axis of rotation to the function y = 1 is (1 - (-1)) = 2.
So, r = x² + 1 for y = x²
r = 2 for y = 1
Now, let's calculate the volume
V = ∫(2π * r * h * dx) from x = -1 to x = 1
V = ∫(2π (x² + 1) (x² - 1) dx) from x = -1 to x = 1
V = 2π ∫((x² + 1) (x² - 1) dx) from x = -1 to x = 1
V = 2π ∫(\(x^4\) - 1 dx) from x = -1 to x = 1
V = 2π (\(x^5\)/5 - x) from x = -1 to x = 1
V = 2π (1/5 - 1 + 1/5 - 1)
V = 2π (2/5 - 2)
V = 2π (-4/5)
V = -8π/5
Therefore, the volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1 is -8π/5 cubic units.
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Thirty-six of the students in the choir like to sing solos. These 36 students make up 12% of the choir.
How many students are in the choir?
Answer:
300
Step-by-step explanation:
12/100*x=36
X=36*100/12
x=300
Find the area of the triangle.
Step-by-step explanation:
the area of a triangle :
baseline × height / 2
it does not matter, if the height is inside or outside (like in this case) of the triangle.
the baseline and height pair is always determined by the right angle between them. if there is no right angle, it is not the height to that side (or the side to that height).
so,
the area is
3 × 2/3 / 2 = 1 ft²
Jason worked to earn $298.45 and William worked to earn $190.00. If the
both earn $6.35 per hour, how many hours did Jason work?
Answer:
47
Step-by-step explanation:
298.45/6.35=47 its ez just some division
Answer:
47
Step-by-step explanation:
298.45/6.35= 47
I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem is attached. I got 6.245 for the other side of the triangle for reference if needed from the problem before this one.
EXPLANATION
We can affirm that the length of the adjacent leg is 5 units and the length of the hypotenuse is 8 units.
As given, the length of the third side is 6.245 units.
Now, computing sin A give us the following expression:
\(\sin A=\frac{6.245}{8}=\frac{1249}{1600}\)The solution is 1249/1600
im in desperate in need of help
Answer:
(2.) V = 1,536\(\pi\) mm^3; (3.) V = 1,943.9 mm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = \(\pi r^{2}h\)
For Problem 2, we have V = \(\pi * 8^{2} * 24\)
V = 1,536\(\pi\) mm^3
For Problem 3, we have V = \(\pi\) * \((\frac{15}{2})^{2}\) * 11
V = 1,943.86 = 1,943.9 mm^3
Please I need help on a true or false
Answer:
True.
Explanation:
When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)
brian and summer took a 12-mile canoe ride down a river in two hours. after stopping for lunch, they returned back up the river in three hours. find the rate of the canoe in still water and the rate of the current.
The rate of the canoe in still water is 5 miles per hour, and the rate of the current is 1 mile per hour.
Let's use the letters "c" for the canoe's speed in still water and "r" for the current's speed. The formula is as follows:
Rate times distance
establishing two equations, one for the upstream trip and one for the downstream trip.
Trip downstream:
12 miles is the distance.
rate = c plus r. (since the current is helping them)
t = two hours
We thus have:
12 = (c + r) × 2
When we simplify this equation, we obtain:
6 = c + r
Trip upstream:
12 miles is the distance.
rate equals c-r (since they are now going against the current)
three hours.
We thus have:
12 = (c - r) × 3
When we simplify this equation, we obtain:
4 = c - r
There are now two equations:
6 = c + r
4 = c - r
By combining the two equations, we may find the value of one of the variables:
6 + 4 = 2c
If we simplify, we get:
10 = 2c
When you divide both sides by 2, you get:
c = 5
To solve for the other variable, we may now re-insert this value into one of the equations. Let's apply the formula:
6 = c + r
With c = 5, we obtain:
6 = 5 + r
5 is subtracted from both sides to yield:
r = 1
In still water, the canoe moves at a rate of 5 miles per hour, while the current moves at a rate of 1 mile per hour.
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what is the equivalent ratio of 26:7
Answer:
52 : 14
Step-by-step explanation:
multiply the numbers by 2
Is 2q - 2s + 2q equivalent to 4q - S? Why?
Answer:
yes. They both equal [20]=20
For a local high school, 75% of the school population lives within 3 miles of the school and 20% of those who lived within 3 miles
walk to school.
If a student is selected at random, then what is the probability that the student lives within 3 miles and walks to school?
The probability that a student lives within 3 miles of the school is 75%, and the probability that a student who lives within 3 miles walks to school is 20%. We can find the probability that a student both lives within 3 miles and walks to school by multiplying these probabilities:
0.75 x 0.20 = 0.15
Therefore, the probability that a student lives within 3 miles and walks to school is 0.15 or 15%.
Answer:
0.15 or 15%
Step-by-step explanation:
Given a standardized normal distribution with a mean of 0 and standard deviation of 1, what is the probability that
A) Z is less than 1.08
B) Z is greater that -0.21
C) Z is less than -0.21 or greater than the mean
D) Z is less than -0.21 or greater than 1.08
a) The probability that Z is less than 1.08 is 0.8599.
b) The probability that Z is greater than -0.21 is 1 - 0.4168 = 0.5832.
c) The probability that Z is less than -0.21 or greater than the mean is 1 - 0.4168 = 0.5832.
d) The probability that Z is less than -0.21 or greater than 1.08 is 1 - 0.4168 - 0.8599 = 0.7233.
A) The probability that Z is less than 1.08 can be found by using the standard normal distribution table or a calculator with a normal function. Using the table, we find the value corresponding to 1.08 which is 0.8599.
B) The probability that Z is greater than -0.21 can be found by using the standard normal distribution table or a calculator with a normal function.
Using the table, we find the value corresponding to -0.21 which is 0.4168. Since we want the probability that Z is greater than -0.21, we need to subtract this value from 1.
C) The probability that Z is less than -0.21 or greater than the mean can be found by using the standard normal distribution table or a calculator with a normal function.
Since the mean is 0, we can find the probability that Z is less than -0.21 and subtract it from 1 to find the probability that Z is greater than the mean.
Using the table, we find the value corresponding to -0.21 which is 0.4168.
D) The probability that Z is less than -0.21 or greater than 1.08 can be found by using the standard normal distribution table or a calculator with a normal function.
Using the table, we find the value corresponding to -0.21 which is 0.4168, and the value corresponding to 1.08 which is 0.8599.
We can then subtract these values from 1 to find the probability that Z is less than -0.21 or greater than 1.08.
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need help i got first attempt wrong for this i think
g what is the difference between type 1 and type 2 errors in hypothesis testing? how do a and b relate to type 1 and type 2 errors?
In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).
A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).
In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.
The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .
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Please helpI only have Five minutes to complete the problem.
Answer:
D
Step-by-step explanation:
The number of music CDs sold in 1993 by one company was approximately 2.3×106.The number of music CDs sold by the same company in 2001 was approximately 7.9×107. What is the difference in CDs sold between 1993 and 2001?
Answer:
\(\sf 76,700,000 = 7.67 \times 10^7\)
Step-by-step explanation:
Given information:
\(\textsf{CDs sold in 1993} = \sf 2.3 \times 10^6\)
\(\textsf{CDs sold in 2001} =\sf 7.9 \times 10^7\)
To find the difference in CDs sold between 1993 and 2001, subtract the number of CDs sold in 1993 from the number sold in 2001.
\(\sf \implies \left(7.9 \times 10^7\right)-\left(2.3 \times 10^6\right)\)
\(\sf \implies \left(7.9 \times 10,000,000\right)-\left(2.3 \times 1,000,000\right)\)
\(\sf \implies 79,000,000- 2,300,000\)
\(\sf \implies 76,700,000\)
\(\sf \implies 7.67 \times 10^7\)
Therefore, the difference in CDs sold between 1993 and 2001 is 76,700,000 CDs.
Which of the following best describes a triangle with one right angle and two congruent sides
Answer:
isosceles triangle
14+x=y
what does x equal
Answer:
Step-by-step explanation:
14 + x = y
x = y - 14
Which of the following is equivalent to the expression below?
3(5-2i)
Answer: 15 - 6i
Step-by-step explanation:
3(5-2i)
3×5+3×(−2i)
Do the multiplications.
15−6i
Henry is planning to create two rectangular gardens.
Part A
Henry has 96 feet of fencing to enclose the first rectangular garden. The garden will be x feet wide.
Which function, f(x), can Henry use to determine the area, in square feet, of the first garden?
a f(x) = 48x
O f(x) = 48 - X
f(x) = 48 – x2
d -
f(x) = 48x-x²
Answer:I’m taking the same quiz rn and am confused
Step-by-step explanation:
The function to represent the area of the garden is f(x) = 48x-x²
What is a function?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and range.
Given that, Henry has 96 feet of fencing to enclose the first rectangular garden. The garden will be x feet wide.
Perimeter = 96 feet
Therefore,
2(l+x) = 96
l+x = 48
l = 48-x
Area = lXw
= x(48-x)
= 48x-x²
Hence, The function to represent the area of the garden is f(x) = 48x-x²
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Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
Answer:
About $48.72
Step-by-step explanation:
Tip = Cost * 0.xx
Total including Tip = Cost * 1.xx
where xx = the percent tip you want to leave.
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Which table represents a nonlinear function?
Answer:
Omg I remeber that wait let me think
Step-by-step explanation:
Step-by-step explanation:
the third one is the nonlinear function
hope this helps
What is the constant of variation, k of the direct variation, y=kx,through (5,8)
Constant of variation, k of the direct variation is 8/5.
Equation -> y = kx
Point (x,y) = (5,8)
Putting the value in the equation,
8 = 5k
k = 8/5
Hence, k = 8/5.
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Tina weighs 8.3 kg. Her older brother is 4 times as heavy as Tina. How much does her older brother weigh?
Answer:
The correct answer should be 33.2 kg
On the first play during the football game our team gained 5 yards. Between both the second and third play our team lost eight yards. What was the net gain or loss
Answer:
loss
Step-by-step explanation:
you might want to check someone else answer first tho
The telephone company offers two billing plans for local calls. Plan 1 charges $ per month for unlimited calls and Plan 2 charges $ per month plus $ per call.Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.