x + a = c , solve for x
Answer:
Step-by-step explanation:
x+a=c
x=c-a
A family is having a pool party built in their backyard. If the Yard is rectangular and measures 10x by 10x in the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built. Write your answer in factored form
1. (100-4pi)x^2
2. 100x^2-4pi(x)^2
3. (100+4pi)x^2
4. 100x^2+4pi(x)^2
Literally have the same question on my test and i dont know if i got it right or wrong. I know it has nothing to do with this :/ im sorry.
The right rectangular prism is filled with cubes that have a side length of 1/8 foot.
How many cubes does it take to fill the prism? (please just give me an exact answer.) (I WILL GIVE BRAINLIST) (please just help me)
Answer:
24
Step-by-step explanation:
To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512
Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.
The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64
Now convert 3/64 to have a denominator of 512
3/64*8/8= 24/512
24/512 divided by 1/512 is 24
You can fit 24 cubes in the rectangle.
Constant of Variation
Given that f(x) = 2/x² and g =(x) = 13/x²
What is the domain of the functions f and g?
a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero
Please select the best answer from the choices provided
Answer:
B. All non zero real numbers
Step-by-step explanation:
I calculated it logically
fast brainleist on line and 40
Answer:
1/40
Step-by-step explanation:
Given that the function graphed is f(x), what is f (4)?
A) -2
B) -4
C) -6
D) -8
PLEASE ANSWER QUICKLY THANK YOUUUU
Answer:
D) - 8
Step-by-step explanation:
If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.
A cooler is in the shape of a right rectangular prism. If the cooler is 3 1/2 feet long, 2 5/6 feet wide, and 1 foot deep, what is the volume of the cooler ?
Which ratio is equivalent to? 4:5
Answer:16:20
Step-by-step explanation:
Solve the system of equations.
2y+7x=−5
5y−7x=12
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
Write an equation that shows how much money they would make (y) if
they worked x hours with an hourly rate of $10
Your answer
Answer:
y=10x
Step-by-step explanation:
10 is the slope or the rate of change.
Answer:
y = 10x
Step-by-step explanation:
y is your total, 10 is your amount per hour, you multiply the hourly rate by the number of hours.
what is a set of ordered pairs of real numbers ?
Answer:
order pair of real number is (2,3) is given by the first number 2 and the second number 3 Example (a,b).
Helpppppppppppppppp!
Two cars start at the same time, but travel in opposite directions. One car's average speed is 20 miles per hour (mph). At the end of 2 hours, the two cars are 120 miles apart. Find the
average speed in mph of the other car. (Enter an exact number.)
help
X mph
Need Help?
Read it
Answer:
The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:
140-80=60
60 miles/2 hours=30 mph as the rate of the second car.
Step-by-step explanation:
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answer:
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 20 hours, standard deviation of 6:
This means that [tex]\mu = 20, \sigma = 6[/tex]
Sample of 150:
This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]
What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?
This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793
X = 19.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = -1.02[/tex]
[tex]Z = -1.02[/tex] has a p-value of 0.1539
0.9793 - 0.1539 = 0.8254
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance. The beginning of the highway (x = 0) has an elevation of 2,225 feet. Write an equation for this stretch of roadway ini point-slope form.
Answer:
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
Step-by-step explanation:
Equation in point-slope form:
The equation of a line in point-slope form is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is the point and m is the slope.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance.
This means that [tex]m = 0.04[/tex]
The beginning of the highway (x = 0) has an elevation of 2,225 feet.
This means that [tex](x_0,y_0) = (0,2255)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 2225 = 0.04(x - 0)[/tex]
[tex]y - 2225 = 0.04x[/tex]
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
question 13 helllppp pllllz alomost done
Which table shows the same relationship as y = -x^2 + 3x?
Answer:
H
Step-by-step explanation:
given y = -x² + 3x.
let f(x) be y.
f(-2) = -(-2)² + 3(-2) = -10
f(-1) = -(-1)² + 3(-1) = -4
f(0) = -(0)² + 3(0) = 0
f(1) = -(1)² + 3(1) = 2
f(2) = -(2)² + 3(2) = 2
plz help????????????
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
Which of the following type of tax is NOT withheld from earnings?
Answer:
Following what?
Step-by-step explanation:
I'll go with Sales Tax
BEEN STUCK FOR A WHILE PLEASE HELP!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20 feets
What is 26 × 43 - 12=
Answer:
1106
Step-by-step explanation:
PEMDAS [the order of operations]
M[ultiplication] comes before S[ubtraction], so we should multiply first:
26 × 43 = 1118
Now, we can subtract:
1118 - 12 = 1106
you can write this equation as:
(26 × 43) - 12
if that makes more sense to you
hope this helps!! :)
A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall. How far out from the base of the wall should the ladder be placed?
Given :
A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall.
To Find :
How far out from the base of the wall should the ladder be placed.
Solution :
We know, the angle between floor and height is 90° .
Now, length of ladder, l = 2.8 m .
Height of wall, h = 2 m .
Let, distance between base of the wall and ladder is b .
[tex]l^2 = h^2 + b^2\\\\b = \sqrt{l^2 - h^2}\\\\b = \sqrt{2.8^2 - 2^2}\ m\\\\b = 1.96 \ m[/tex]
Hence, this is the required solution.
Fill in the blank:
The golden ratio is also sometimes expressed as the______.
a.
golden median
c.
golden mean
b.
golden circle
d.
golden triangle
Answer:
c. golden mean
Select all values equivalent to -10/7
A. -10/-7
B. -3 1/7
C. -10
- _
-7
D. 1 3/7
E. -1 3/7
Answer:
A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points
PLEASE HELP! I WILL GIVE YOU BRAINLIEST! Peter walked around a park three times. How many miles did he walk?
Answer:
20.7 miles
Step-by-step explanation:
1 + 2 = 3
1.6 + 2.3 = 3.9
3.9 + 3 = 6.9
6.9 x 3 = 20.7
Question
Translate and solve: Twelve less than x is equal to 51. Enter the equation
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
What is the name of the shape graphed by the function theta = -pi/6?
A.Line
B.Lemniscate
C.Limacon with inner loop
D. Circle
Answer:
D. Line
Step-by-step explanation:
If there are equals -pi/6 and nothing else then it’s going to be a line.
The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
What is graphed by function means?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
What is constant function?A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
According to the question
The name of the shape graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
As we can see that Ф is a constant function
and per definition of constant function :
A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
i.e
graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )
Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
To know more about graph of a function here:
https://brainly.com/question/27757761
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HELP PLEASE :(... I will give brainliest:)
Answer:
your just putting the numbers at the bottom into the line plot . so let's say there is 333 u would up the three 3 on the plot .
Step-by-step explanation:
hope this helps let me know if u need a better explanation
if emma had 3/9 cookie's and sophia had 9/8 how much wood that be in all