Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
Find the domain of the graphed function. Someone pls help ive been looking ill mark you brainliest
Answer:The answer is A
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y-4= -2/3 (x-6) and passes through the point (-2, -2)?
Oy=-2/3x-10
Oy=-2/3x+10
Oy=x3/2x-1
O y=3/2x+1
Answer:
The answer is option D.
Equation of a line is y = mx + c
m = slope
c = intercept on y axis
y-4= -2/3 (x-6)
y = -2/3x + 4 + 4
y = -2/3x + 8
From the above equation
m= -2/3
Since the lines are perpendicular the slope of the line is the negative inverse of the original line.
so m = 3/2
Equation of the line using point (-2 , -2) is
y + 2 = 3/2(x+2)
y = 3/2x + 3 - 2
y = 3/2x + 1
That's the last option
Hope this helps
The linear equation with the given characteristics is given by:
[tex]y = \frac{3}{2}x + 1[/tex]
What is the equation of a line in slope-intercept form?It is given by:
y = mx + b.
In which:
m is the slope.b is the y-intercept.When two lines are perpendicular, the multiplication of their slopes is -1, hence:
[tex]-\frac{2}{3}m = -1[/tex]
[tex]2m = 3[/tex]
[tex]m = \frac{3}{2}[/tex]
Then:
[tex]y = \frac{3}{2}x + b[/tex]
It passes through the point (-2, -2), hence:
[tex]-2 = \frac{3}{2}(-2) + b[/tex]
[tex]-3 + b = -2[/tex]
[tex]b = 1[/tex]
Hence, the equation is:
[tex]y = \frac{3}{2}x + 1[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
help me asap pleaseeee
Answer:
Last option is the correct choice.
Step-by-step explanation:
[tex]\frac{36}{24}=\frac{12}{x}\\\\\Rightarrow x=8[/tex]
Best Regards!
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
Vanya, a newborn going through a growth spurt, grew out of an average of 250 socks per month from January to March, inclusive. He grew out of an average of 300 socks per month in April and May. Find the average amount of socks Vanya grew out of during the 5 months.
Answer:
270 socks/month over 5 months
Step-by-step explanation:
To calculate this total number of outgrown socks, we multiply (250 socks/mo) by 3 months (Jan., Feb. and Mar.) and then (300 socks/month) by 2 months (Apr., May):
Total average number of socks per month:
Total number of socks / number of months:
3(250) + 2(300) socks
----------------------- * ----------- = 270 socks/month over 5 months
5 mo
WILL GIVE BRAINLIEST!!! How many terms are in the geometric sequence having a first term of 2, a last term of 32, and a common ratio of -2?
Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
Juana compró una camioneta 4x4 a S/ 42 000; además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal durante 6 años. Si al quinto año la camioneta tendrá un valor de S/ 21 000, ¿cuál es el valor de la depreciación de la camioneta?
Answer:
Una relación lineal es de la forma:
y = a*x + b.
donde a es la pendiente y b es la ordenada al origen.
en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.
Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:
$21,000 = a*5 + $42,000
a*5 = $21,000 - $42,000 = -$21,000
a = -$21,000/5 = -$4,200
Esto significa que el precio decae $4,200 por año
El valor de depreciación de la camioneta es de $4200 por año.
Dado que Juana compró una camioneta 4x4 a $42 000; y además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal durante 6 años, para determinar, si al quinto año la camioneta tendrá un valor de $21 000, cuál es el valor de la depreciación de la camioneta, se debe realizar el siguiente cálculo:
(42000 - 21000) / 5 = X 21000 / 5 = X4200 = XPor lo tanto, el valor de depreciación de la camioneta es de $4200 por año.
Aprende más acerca de matemáticas en https://brainly.com/question/25918028
PLEASE HELP WILL GIVE BRAINLIEST URGENTTT
What makes Euclid's fifth postulate so different from the other four?
Answer:In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry
Given the function f(x) = √x-8 + 3 which of the following is the value of f(24)
Answer:
The answer is 7.
Step-by-step explanation:
You have to substitute the value of x into the function :
[tex]f(x) = \sqrt{x - 8} + 3[/tex]
[tex]f(24) = \sqrt{24 - 8} + 3[/tex]
[tex]f(24) = \sqrt{16} + 3[/tex]
[tex]f(24) = 4 + 3[/tex]
[tex]f(24) = 7[/tex]
Select the correct answer.
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each. She wants to buy
at least 5 items while spending under $60.
Which graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal?
Answer:
The graphs are missing, but we can find the inequality for this problem:
She has $60.
The price of a T-shirt is $10, the price of a sweatshirt is $14.
If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:
T + S ≥ 5 (because she wants to buy at least 5 items)
T*$10 + S*$14 < $60 (because she wants to spend under $60)
Those two inequalities define the number of T-shirts and sweatshirts that she can buy.
The intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each.
Here, graph are missing.
Let's suppose the number of T-shirts is T and the number of sweatshirts is S.
T + S ≥ 5 (because she wants to buy at least 5 items)
10T + 14S < 14 (spending under $60)
If we plot the above inequality on a coordinate plane.
Thus, the intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
Help please I don’t really understand
Answer:
35
Step-by-step explanation:
We first need to find the missing side of the base triangle.
15^2 - 9^2 = x
144 = x^2
x = 12
Then, we can use the same formula (Pythagorean theorem) to find BD.
37^2 - 12^2 = x
1225 = x^2
x = 35
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
{-5 - V34,-5 + 34}
{-5 - V29, -5 + 29)
{-12, 2}
{-2, 12}
Answer:
{ - 12, 2 }
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 5 from both sides )
x = - 5 ± 7
Thus
x = - 5 - 7 = - 12
x = - 5 + 7 = 2
Solution set is { - 12, 2 }
The solution set of the equation is {-12, 2}. Therefore, the correct option is {-12, 2}.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x²+10x=24
x square plus ten times of x equal to twenty four.
Let us take 24 to the left side
x²+10x-24=0
Add and subtract the square of half of the coefficient of x to the left-hand side of the equation:
x² + 10x + (10/2)² - (10/2)² - 24 = 0
x² + 10x + 25 - 49 = 0
Factor the left-hand side of the equation:
(x + 5)² - 49 = 0
Add 49 to both sides of the equation:
(x + 5)² = 49
Take the square root of both sides of the equation:
x + 5 = ±7
Solve for x:
x = -5 ±7
x = -12 or x = 2
Hence, the solution set of the equation is {-12, 2}. Therefore, the correct option is {-12, 2}.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
Please I don’t understand help me?!
Answer:
BD = 35
Step-by-step explanation:
Calculate CD in right triangle ABC, then BD in right triangle BCD
Using Pythagoras' identity in both triangles.
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In Δ ADC
CD² + AD² = AC² , substitute values
CD² + 9² = 15²
CD² + 81 = 225 ( subtract 81 from both sides )
CD = 144 ( take the square root of both sides )
CD = [tex]\sqrt{144}[/tex] = 12
----------------------------------------------------------------
In Δ BCD
BD² + CD² = BC² , substitute values
BD² + 12² = 37²
BD² + 144 = 1369 ( subtract 144 from both sides )
BD² = 1225 ( take the square root of both sides )
BD = [tex]\sqrt{1225}[/tex] = 35
Answer:
35 units
Step-by-step explanation:
First find CD, consider BC is hypotenuse
CD= √15²-9²= √225-81= √144= 12 unitsThen find BD, consider AC is hypotenuse
BD= √37²-12²= √1369- 144= √1225= 35 unitsWhat is the measure of ∠ABC?
Answer:
ABC = 37
Step-by-step explanation:
inscribed angle = 1/2 intercepted arc
B = 1/2 ( 74)
B = 37
you want to redesign a shoe box. Currently its length is 25 cm its width is 20 cm and its height is 40 cm. You want to keep the volume and length unchanged and decrease the height by 20%. What will be the new length of the box
Answer:
32 cm
Step-by-step explanation:
The original height is 40. - Given
20 percent is also equal to 1/5
SO the expression would be 1/5 x 40 cm
You get 8 cm.
Then, you subtract 8 from 40 to get 32 cm.
A wheelchair access ramp has an angle elevation of 23 degrees. If the ramp reaches to the top of a 23 inch high porch, how long is the ramp.
Answer: 5 ft or 60 inches long
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
PLSSSS HEEEELPPP
A cone has a radius of 6 inches and a height of 16 1/2 inches. A cylinder
has a radius of 8.5 inches and a height of 25 inches. What is the sum of the
volumes, to the nearest tenth of a cubic inch, of the cone and the
cylinder? EXPLAIN YOUR ANSWER. *
Answer:
6296.5
Step-by-step explanation:
Cone volume: 622.0
Cylinder Volume: 5674.5
622+5674.5=6296.5
5-star rating and brainiest
Answer:
Step-by-step explanation:
What to do??
Answer:
T
Step-by-step explanation:
coz I just can see "T"
...
HELP FAST! In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
sine (78°) = 714 / side c
side c = 714 / sine (78°)
side c = 714 / 0.97815
side c = 729.95
Step-by-step explanation:
PLEAE ANS IT FAST PLESE
Answer:
[tex] \frac{2}{ {x - 1}^{2} } - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{2}{x + 1} = 0[/tex]
[tex] \frac{2 - 2(x - 1)}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{2 - 2x + 2}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{4 - 2x}{(x + 1)(x - 1)} = 0[/tex]
[tex]4 - 2x = 0(x + 1)(x - 1)[/tex]
[tex]4 - 2x = 0[/tex]
[tex] - 2x = - 4[/tex]
[tex]x = \frac{ - 4}{ - 2} [/tex]
[tex]x = 2[/tex]
Answer:2
Step-by-step explanation: i willn ot provide step by step cuz its a waste of my time becasue it is easer to just give the anwser althou i know it will not help you learn but it faster lets not lie we all just using this to anwser test/quiz questions
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
PLEASE HELP!! Is the discriminant of f positive,zero, or negative
Answer:
positive
Step-by-step explanation:
The discriminant is positive
If there are 2 real roots ( where it crosses the x axis), then the discriminant is positive
(a) show that 4x+1=19
Answer:
AB + BC + CD = AD
Therefore, 4x + 1 = 19
Step-by-step explanation:
The total length of the line (AD) is a sum of line AB, line BC, and line CD
AD = AB + BC + CD
19 = x + x+1 + 2x
4x + 1 = 19
Answer/Step-by-step Explanation:
I think the equation is true because AD = AB + BC + CD ,which represents the equation given
ordered pair is a solution of equation y=3x-7
Can anyone solve this question please
The ordered pair (1,7)belongs to some function,f(x). Explain why the ordered pair(8,1) cannot belong to the inverse of this function.
Answer:
Step-by-step explanation:
by definition : The inverse of a relation consisting of points of the form (x,y) is the set of points (y,x)
if (1,7) is a point belong to f(x), then the inverse has to be (7,1) not (8,1)
Ordered pair[tex](8, 1)[/tex] cannot belong to the inverse of the given function because ordered pair [tex](7,1).[/tex]belong to the inverse function of the given function.
What is inverse function?
" Inverse function is defined as when the domain and range of a function interchange with each other of the given function. It is represented by[tex]y = g(x)[/tex]then its inverse is [tex]x = f(y)[/tex]"
According to the question,
Given function,
Function[tex]f(x)[/tex] with ordered pair [tex](1,7)[/tex]
Domain of a function[tex]= 1[/tex]
Range of a function [tex]= 7[/tex]
As per the definition of inverse function,
Domain of inverse function [tex]= 7[/tex]
Range of a inverse function [tex]= 1[/tex]
Ordered pair[tex](7, 1)[/tex] belongs to inverse of the given function.
Hence, ordered pair[tex](8, 1)[/tex] cannot belong to the inverse of the given function.
Learn more about inverse function here
https://brainly.com/question/2541698
#SPJ2
turn phone to read please
Answer:
[tex]SA \approx 439.82\:in^2[/tex]
Step-by-step explanation:
Surface Area = [tex]2\pi r h+2\pi r^2[/tex]
Putting the given values and simplifying, we get:
[tex]SA \approx 439.82\:in^2[/tex]
Best Regards!
2120
Given that € 1 = £0.72
a) How much is €410 in £?
b) What is the £ to € exchange rate?
Answer:
Q1) £302.40
Q2) The rate is £1 = €1.38
Step-by-step explanation:
Q1.
In order to convert €410 to £, you have to multiply by 0.72 :
€1 = £0.72
€1×420 = £0.72×420
€420 = £302.40
Q2.
In order to find the exchange rate from £ to €, you have to divide it by 0.72 :
£0.72 = €1
£0.72÷0.72 = €1÷0.72
£1 = €1.39
