Answer:
[tex]y=\frac{9}{10} x-\frac{7}{5}[/tex]
Step-by-step explanation:
points on the line:- (-4,-5)&(6,4)
slope= 4+5/6+4= 9/10
y-4=9/10(x-6)
y=9x/10-54/10+4
y=9/10 x-7/5
✄┈┈┈┈┈┈┈┈┈┈┈┈┈┈«
┍━━━━ ⋆⋅☆⋅⋆ ━━━━┑
hope it helps..
have a great day!!
┕━━━━ ⋆⋅☆⋅⋆ ━━━━┙
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
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.
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
PLEASE HELP! What is the value of x in the figure?
Options:
A. 37B. 60 C. 160D. 2372
Answer:
Yo, the answer would be 37 which is A. Cheers
Step-by-step explanation:
The sides are equal to one another
This means 4x+2=180
4x+2=180
-2 -2
4x=148
/4
x=37
Answer:
Hello! answer: x = 37
These are vertical angles so they will both equal the same so we just have to figure out what multiplied by 4 + 2 = 150 and 4 × 37 = 148 and 148 + 2 = 150 so x = 37 Hope that helps!
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
convert the improper fraction to a mixed number. 17/3=
Answer:
17/3 = 5 2/3
Step-by-step explanation:
3 goes into 17 5 times, the remaining numbers are 2.
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!! :)
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
A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer: [tex]66.42^{\circ}[/tex]
Step-by-step explanation:
Given
Length of the ladder is [tex]L=15\ ft[/tex]
Bottom of the ladder is [tex]6\ ft[/tex] away from the side of the house.
Suppose, ladder is leaning against the wall with angle of elevation [tex]\theta[/tex]
from the figure, we can write
[tex]\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}[/tex]
Thus, the angle of elevation is [tex]66.42^{\circ}[/tex]
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.
Which ratio is equivalent to? 4:5
Answer:16:20
Step-by-step explanation:
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
#SPJ2
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
0.002191 in scientific notation
Answer:
2.191 · [tex]10^{-3}[/tex]
Step-by-step explanation:
0.002191
2.191 · [tex]10^{-3}[/tex]
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
Helpppppppppppppppp!
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
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.
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.
plz help????????????
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
x + a = c , solve for x
Answer:
Step-by-step explanation:
x+a=c
x=c-a
What is the volume of the cone below?
A. 1022496 units 3
B. 34087 units3
C. 8527 units3
D. 51121 units3
Answer:
B. 3408π units³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 12
Height h = 71
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (12)^2(71)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (144)(71)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (10224)[/tex]Multiply: [tex]\displaystyle V = 3408 \pi[/tex]Here's the solution :
we know,
[tex] \boxed{volume = \frac{1}{3} \pi {r}^{2} h}[/tex]
now, let's solve
[tex]v = \dfrac{1}{3} \times \pi \times {12}^{2} \times 71[/tex][tex] \dfrac{\pi}{3} \times 144 \times 71[/tex][tex]\pi \times 48 \times 71[/tex][tex] \boxed{3408\pi \: \: \: unit {}^{3} }[/tex]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 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
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.
if emma had 3/9 cookie's and sophia had 9/8 how much wood that be in all
n/5 + 7 < 5
I need help please!
Let's solve your inequality step-by-step.
n/ 5 + 7 < 5
Step 1: Simplify both sides of the inequality.
1/5n + 7 < 5
Step 2: Subtract 7 from both sides.
1/5n + 7 −7 < 5 − 7
1/5n < − 2
Step 3: Multiply both sides by 5.
5*(1/5n) < (5)*(−2)
n < − 10
Answer:
n < − 10
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).
Which of the following values is a zero of
f(x)=3x^4 +8x² + 4x^2 ?
A. 2/3
B. 3/2
C. -2
D. 3
E. -3
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.