x = 6
Step-by-step explanation:
[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]
Answer: (negative solution): x=-2, (positive solution): x=6
Can somebody please help me
Answer: C
Step-by-step explanation:
This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110
y = 23
Step-by-step explanation:
For X :
100 = x -10
110 = x
Corresponding angles are equal
For Y :
180 - 110 = 70
(2y + 24) = 70
2y = 46
y = 23
Adjacent Angles on a straight line add up to 180 Degrees
there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45
Answer:
9m = 45
Step-by-step explanation:
if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:
9m = 45
where m is the number of marbles in the red jar.
What is the slope of the line defined by the equation y = 5x + 3?
A) 3/5
B) 5/3
C) 3
D) 5
Answer:
D) 5
Step-by-step explanation:
5 is the rise. x or 1 is the run. (0,3) is the start location.
What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?
Answer:
I believe you are correct in saying the option you are clicked on, B.
Step-by-step explanation:
it would make the most sense
Elise drinks 2 cups of water per hour on Friday. At a certain time, she has already had 4 cups of water. On Friday, Jacob drinks 3 cups of water per hour, and at the same time of day, he has only had 2 cups of water for the day.
Write a system of equations that can be used to determine when Elise and Jacob will have drank an equal amount of water after drinking water for the same number of hours after 10:00 am.
How many hours will it take for Elise and Jacob to drink an equal amount of water?
By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.
How to write and solve the system of equations?For Elise, the number of cups consumed after the 10:00 am is:
y = 2*x + 4
Where x is the number of hours after 10:00 am.
For Jacob, the number is:
J = 3*x + 2
Then the system of equations is:
y = 2x + 4
y = 3x + 2
To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:
2x + 4 = y = 3x + 2
2x + 4 = 3x + 2
Solving for x we get:
4 - 2 = 3x - 2x
2 = x
After 2 hours, Elise and Jacob drink the same amount of water.
If you want to learn more about systems of equations, you can read:
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What is the volume of this object?
PLSSS HELP RIGHT ANSWER BRAN;EST
Answer:
23 cubic units
Step-by-step explanation:
1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units
8+7+5+3 = 23
See the attachments below
Hope this helps :)
When a constant force acts
upon an object, the acceleration of the object varies Inversely with Its mass. When a certain constant force acts upon an object witt
mass 5 kg, the acceleration of the object Is 15 m/s-
If the same force acts upon another object whose mass is 3 kg, what is this object's acceleration?
Answer:
25
Step-by-step explanation:
First expression: A= k/M
when A = 15 and M = 5, k = A×M = 75
therefore, when M = 4, A = 75/3 = 25
Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply
[tex] \cos(2x) = \cos(x) [/tex]
Solution (1)
[tex]2x = x + 2k\pi[/tex]
[tex]2x - x = 2k\pi[/tex]
[tex]x = 2k\pi[/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
[tex]2x = - x + 2k\pi[/tex]
[tex]2x + x = 2k\pi[/tex]
[tex]3x = 2k\pi[/tex]
[tex]x = \frac{2k\pi}{3} [/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}
what is the third quartile of the following data set? 24,20,35,43,28,42,25,29,44,21,37
Answer:42 is the third quartile
Step-by-step explanation:
Use the graph or table to find the equation that represents the relationship.
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
Learn more about linear equation on:
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Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
What number is one-eighth of three hundred and sixty?
Answer:
45
Step-by-step explanation:
Have a great day!
#EquestrianLion
Help please if ur good at math
Part (a)
[tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]
Part (b)
[tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]
Part (c)
[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]
Part (d)
[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]
Hope that helps!
If 12%of X is 306, what is X equivalent to?
Answer:
X = 2550
Step-by-step explanation:
Convert 12% to a decimal:
⇒ 12% = 12/100 = 0.12
12% of X is 306
⇒ 0.12X = 306
⇒ X = 306 ÷ 0.12
⇒ X = 2550
Answer:
2550
Step-by-step explanation:
Given expression: 12% of x is 306
We can make the following points of the expression:
1. The word "of" means multiplication (×).
⇒ 12% × x is 3062. The percent is always divided by 100 in fraction.
⇒ 12/100 × x is 3063. The word "is" means equal or equivalent.
⇒ 12/100 × x = 306Now, let's simplify the expression.
⇒ 12x/100 = 306
⇒ 12x = 306 × 100
⇒ 12x/12 = 306 × 100/12
⇒ x = 51 × 50 = 2550
what is the area of the figure?
Answer:
182 m
Step-by-step explanation:
The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].
The two bases (AKA a and b) are 8 + 18.
The height is 14.
[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8
[tex]\frac{26}{2}14[/tex], Divide 26 by 2
[tex]13 *14[/tex], 182
As you move to the
on a number line the values of the numbers
Which choice best completes the sentence?
right; increase
right; decrease
left; increase
left; remain the same
Help please I’m stuck on this question!
Answer:
Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer
The second answer from above
Give an example of a well-stated research question that involves estimating a characteristic about the population of part-time students at your college.
Improve the following research question so that it is a well stated research question. Research Question: Do students work a lot of hours?
Answer:
1) what is the number of male part time students between the ages 15 - 19 years?
2) do students work more than 4 hours a day?
2. Evaluate the function rule for the given value. y = 4.2 for x = -6
Simplify the expression. Enter the answer in the box. 5 1/6 - 7 1/3
Answer:
-15.6666667
Step-by-step explanation:
first of all divide both side then minus the divide number
If AC= 8x-14 and EC = 2x + 11, solve for x.
Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.
Step-by-step explanation:
that means
z = k×x×y
4 = k×2×3 = k×6
k = 4/6 = 2/3
so, when x = -6 and y = 2, we get
z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8
Please help
I don’t know what to do with this
Answer:
The prediction should be 5 via interpolation.
Step-by-step explanation:
Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).
In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.
Write an equation for the graph in terms for x
Y=
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.
Answer:
I think its 5 consecutive zeros.
Step-by-step explanation:
This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.
So my guess would be
400 * 500 * 39
= 7800000
Find three points that lie on the circle
Answer:
Use (a-b)2 formula that is a2-2ab+B2
I think it will help you
Suposse X=a
y= B
And then use formula
Which of the following polynomials has solutions that are not real numbers?
A
x2 - 6x +3
B
x2 + 4x +3
-*? - 9x - 10
x? + 2x +3
Answer:
Option 4 is correct.
Step-by-step explanation:
To find: Polynomial whose solution are not real numbers.
Given Polynomials are Quadratic Polynomial.
So, we can check if solution of quadratic polynomial by find & checking value of discriminant.
Standard form of Quadratic polynomial is given by
ax² + bx + c
then Discriminant, D = b² - 4ac
If, D > 0 ⇒ Solutions are distinct real numbers
if, D = 0 ⇒ Solutions are equal real numbers
if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)
Option A:
By comparing with standard form
a = 1 , b = -6 , c = 3
D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0
Thus, Solutions are Real numbers.
Option B:
By comparing with standard form
a = 1 , b = 4 , c = 3
D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0
Thus, Solutions are Real numbers.
Option C:
By comparing with standard form
a = -1 , b = -9 , c =-10
D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0
Thus, Solutions are Real numbers.
Option D:
By comparing with standard form
a = 1 , b = 2 , c = 3
D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0
Thus, Solutions are not Real numbers.
Therefore, Option 4 is correct.
Step-by-step explanation:
which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up
Answer:
A. shifted 3 units left and 2 units up
Answer:
shifted 3 units left and 2 units up
100 POINTS! ! !
Exploiting will be reported.
Chase deposits $6,604.80 into a savings account that pays a simple annual interest rate of 3.22%. How much interest will he earn after 4 years?
SHOW WORK and will give brainlist.
Answer:
$850.69824
Step-by-step explanation:
simple interest formula : (principal * rate of interest * time)/100(6,604.80 * 3.22 * 4)/100$850.69824Answer:
$850.70 (nearest cent)
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal (initial balance)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $6,604.80r = 3.22% = 0.0322t = 4 yearsSubstituting given values into the formula, and solving to find A:
⇒ A = 6604.8(1 + 0.0322 · 4)
= 6604.8(1.1288)
= $7455.50 (nearest cent)
Therefore, to find the amount of interest earned, subtract the principal from the final amount:
⇒ I = A - P
= 7455.50 - 6604.80
= $850.70 (nearest cent)
Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masses. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km.
The Schwarzschild radius of the black hole depends on its mass
The Schwarzschild radius of this supermassive black holeis 0.091 AU
How to determine the Schwarzschild radius?The Schwarzschild radius (r) is calculated using:
[tex]r_s = \frac{2GM}{c^2}[/tex]
Where:
G = Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2
M = Mass of the object = 4.6 x 10^6 solar masses
c = Speed of light = 299792458 m / s
Express the mass in Kg
M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg
Substitute the above values in the equation
[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]
Evaluate the expression
[tex]r_s = 13589425339.6[/tex] m
Express as km
[tex]r_s = 13589425.3396[/tex] km
Expressas AU
[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]
Evaluate the quotient
[tex]r_s = 0.09059616893[/tex]
Approximate
[tex]r_s = 0.091\ AU[/tex]
Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU
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