Answer:
≈ 10.63
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)
d = [tex]\sqrt{(6-(-1))^2+(-9-(-1))^2}[/tex]
= [tex]\sqrt{(6+1)^2+(-9+1)^2}[/tex]
= [tex]\sqrt{7^2+(-8)^2}[/tex]
= [tex]\sqrt{49+64}[/tex]
= [tex]\sqrt{113}[/tex] ≈ 10.63 ( to the nearest hundredth )
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an equation using the quadratic formula. What are the solutions to the equation?
Answer:
[tex]\underline{x\in\left\{-6\,,\ 1\right\}}[/tex]
Step-by-step explanation:
[tex]x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1[/tex]
Answer:
Step-by-step explanation: Answer is B-6,1
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
In an exam 35 out of 125 students failed. What percentage passed the exam?
Answer:
28%
Step-by-step explanation:
To find the percentage, you first have to divide:
35 out of 125 Which is 35 ÷ 125 = 0.28
Then you must convert that into a percentage:
0.28 = 28%
Hope this helps you out! : )
72% (percentage) of the students passed the exam.
What are percentages?Percentages are a fractional representation of numbers with the denominator as 100.
For example, if we consider x%, then this is x/100.
While determining the percentage, we multiply the fraction by 100.
How to solve the question?In the question, we are informed that in an exam 35 out of 125 students failed.
We are asked to tell the percentage of students who passed the exam.
The number of students who passed the exam = The number of students who gave the exam - the number of students who failed = 125 - 35 = 90.
Therefore, the percentage of students who passed = the fraction of student passed * 100% = 90/125 * 100% = 72%.
Therefore, 72% (percentage) of the students passed the exam.
Learn more about percentages at
https://brainly.com/question/843074
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Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2
assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62
Answer:
y varies inversely with x is written as
y = k /x
where k is the constant of variation
y = 8 x = 1.55
8 = k / 1.55
Multiply through by 1.55
k = 12.4
The formula is
y = 12.4 / x
when y = - 0.62
- 0.62 = 12.4/x
- 0.62x = 12.4
Divide both sides by - 0.62
x = 12.4/-0.62
x = - 20
When y = - 0.62 x = - 20
Hope this helps
FIND THE AREA AND PERIMETER PLEASE
Answer:
Area = 70 Perimeter = 50
Step-by-step explanation:
I will begin with area. I can find the area of each figure, then add the areas.
3 • 18 = 54
4 • 4 = 16
Area = 70
For perimeter, I will add the given lengths.
3 + 18 + 7 + 4 + 4 + 14
Perimeter = 50
Answer:
Area: 70cm
Perimeter: 50cm
Step-by-step explanation:
The shape can be separated into 2 shapes to calculate the area, a rectangle and a square. The rectangle can be measured 18cm * 3cm and the square can be 4cm * 4cm. The rectangle's area is 54cm and the square is 16cm. Add both to find the area. 54+16= 70. To find the perimeter you just add all the sides together. 3+18+7+4+4+14= 50.
2x+3=-7 what does x equal
Answer:-5
Step-by-step explanation:
2x+3=-7
2x=-7-3
x=-10/2
so,
x=-5
Answer: x=-5
Step-by-step explanation: just did the assessment on edge
someone help asap math 10
Step-by-step explanation:
relation 1: x=-6
relation 2:y =-9
Answer:
hope i helped uh.......
If ABC is similar to DEF, what is the area of ABC? A. 48 square meters B. 54 square meters C. 60 square meters D. 72 square meters
Answer:
B. 54 square meters
Step-by-step explanation:
by similarity;
[tex]\frac{|AB|}{|DE|}=\frac{|BC|}{|EF|} \\ \\\frac{12}{4}=\frac{|BC|}{3} \\\\|BC|=9\\[/tex]
Area of ABC equal to 12.9/2=54
If you don't understand, you can ask me :)
what is;
3x + 5x+(3+2)
Answer:
8x + 5
Step-by-step explanation:
3x + 5x+(3+2)
Combine like terms
8x + 5
Answer:
8x+5
Step-by-step explanation:
This is a expanded expression so all you have to do is simplify.
Combine like terms:
3x + 5x = 8x
3+2=5
Therefore your answer is 8x+5
Hope this helps!
In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black person has been given the death penalty by an all-white jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurors are white when the population is (a) 90% white and (b) 50% white.
Answer:
(a) 0.2824
(b) 0.0002441
Step-by-step explanation:
Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:
[tex]P(w=12) = p(w)^{12}[/tex]
Where p(w) is the proportion of the population that is white:
(a) for p = 0.90
[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]
The probability is 0.2824.
(b) for p = 0.50
[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]
The probability is 0.0002441.
Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?
Answer:
143.6F
Step-by-step explanation:
Entonces la ecuación establecida es;
C = [tex]\frac{5F-160}{9}[/tex]
Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.
[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]
∴[tex]F = \frac{-160-9C}{-5}[/tex]
Ahora ingresamos los valores y resolvemos para F
F = [tex]\frac{-160 - 9(62)}{-5}[/tex]
=[tex]\frac{-160-558}{-5}[/tex]
= [tex]\frac{-718}{-5}[/tex]
= 143.6
∴ 62C = 143.6F
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
In which diagram are angles 1 and 2 vertical angles?
Answer:
Step-by-step explanation:
THE ANGLES THST LOOK LIKE CROSS AND HAVE A STRAIGHT LINE
Answer:
A
Step-by-step explanation:
edge 2023
I will make you a brainllest :) plz
Answer:
38
Step-by-step explanation:
RST = RSQ + QST
70 = 3x-10 + 2x
Combine like terms
70 = 5x-10
Add 10 to each side
70 + 10 = 5x-10+10
80 = 5x
Divide each side by 5
80/5 = 5x/5
16 =x
Now find QSR
QSR = 3x-10
3*16 - 10
48-10
38
Please answer my question now in two minutes
Answer:
lines MP and NO are parallel
Step-by-step explanation:
they will never intersect
Answer:
mp and no are the parallel sides
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?
Answer:
The answer is explained below
Step-by-step explanation:
The location of point A = (-5, -1) and point B = (4, 1).
To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula for the x and y coordinates:
[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:
[tex]x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}[/tex]
Therefore the coordinate of P is (-11/4, -1/2)
Answer:
the coordinate of P is (-11/4, -1/2)
x= -11/4
y= -1/2
c on edu
Step-by-step explanation:
edu 2021
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
Answer:Y=9
Step-by-step explanation:
Answer:
Y=9
Step-by-step explanation:
Took the test and got 100%.
please help me Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.
Answer:
-3
Step-by-step explanation:
Given the function f(x) = -(-x)
we want to evaluate f(-3)
What we do simply here is substitute the value of -3 for x in the equation
That would be ;
f(-3) = -(-(-3)) = -(3) = -3
hola me podrian ayudar
Answer:
I think the answer is m= 26x+1
I'm not a 100% sure
Step-by-step explanation:
m=25x + 9x - 8x +1
someone help me asap math 10
Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{17}[/tex] ( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
-------------------------------------------
Using the cosine ratio in the right triangle on the left
cos23° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{23.4}{x}[/tex] ( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = [tex]\frac{23.4}{cos23}[/tex] ≈ 25. 4 Km ( to the nearest tenth )
Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence. Which is an equivalent representation?
Answer:
f(x + 1) = Five-halves f(x) (A)
Question:
The complete question as found in brainly( ID:13525864) is stated below.
Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.
Which is an equivalent representation?
f(x + 1) = Five-halvesf(x)
f(x) = Five-halvesf(x + 1)
f(x + 1) = Three-halvesf(x)
f(x) = Three-halvesf(x + 1)
Step-by-step explanation:
f(x) = (3/2)(5/2)^(x-1)
Where 3/2 = three-halves and 5/2 = (five-halves)
To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.
f(x) = (3/2)(5/2)^(x-1)
For x = 1
f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)
f(x) =(3/2)(1) = 3/2
For x = 2
f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)
f(x) =(3/2)(5/2)
So from the above assigned values
f(x=1) = 3/2
f(x=2) = f(x + 1) = f(1 + 1)
f(x + 1) = (3/2)(5/2)
Since f(x) = 3/2
f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)
From the options, an equivalent representation: f(x + 1) = Five-halves f(x)
(A)
Answer:
f(x + 1) = [tex]\frac{5}{2}[/tex]f(x)
Step-by-step explanation:
Sphere A has a diameter of 12 and is dilated by a scale factor of one half to create sphere B. What is the ratio of the volume of sphere A to sphere B?
Answer:
VA/VB = 8
Step-by-step explanation:
You have a sphere A with diameter 12, that is, radius 6, which can be written as follow:
[tex]V_A=\frac{4}{3}\pi r_A^3=\frac{4}{3}\pi (6)^3=288\pi[/tex] (1)
The sphere A is dilated by a scale factor of one half to sphere B. Then, you have:
[tex]V_B=\frac{4}{3}\pi r_B^3=\frac{4}{3}\pi (\frac{6}{2})^3=36\pi[/tex] (2)
From the results of equation (2) and (1) you can calculate the ratio VA/VB:
[tex]\frac{V_A}{V_B}=\frac{288\pi}{36\pi}=8[/tex]
The ratio of the volumes of both sphere A and B is 8
Answer:
8:1
Step-by-step explanation:
hope this helps
Quick please. Timed. Which table represents a LINEAR function? (will give brainliest)
Answer:
the last one
Step-by-step explanation:
Answer: The answer is the last graph.
Step-by-step explanation:
The first graph's difference is not a constant ratio.
The 2nd is multipled first by -5, then 5. Therefore wrong.
The third's difference is changing: (4,8,16...._) It would have to be always 4 if it was a linear.
The last one has the same increase every time.
A rectangle on a coordinate plane has vertices at (7,5),(-7,5),(-7,-2),and (7,-2) what is the perimeter of the rectangle?
Answer:
Your Perimiter is 42
Step-by-step explanation:
Distance from 7,5 to -7,5 is 14
Distance from -7,5 to -7,-2 is 7
Then we double both those numbers as it is a rectangle
2l + 2w = Per...
28 + 14 = 42
MARK AS BRAINLIEST
Find the 13th term 4, -16, 64,
Answer:
The 13th term is 67,108,864
Step-by-step explanation:
The term goes up by -4 so you times each number by -4 until you have reached the 13th term. for example 64*-4 is the 4th term, whatever you got for 64*-4 you times by -4 until you have reached the 13th sequence :)
Teniendo en cuenta que un Tambo tiene 12 Vacas en Ordeñe con un promedio de 16 litros por vaca por día y la leche es destinada a la Industria Láctea para la elaboración de quesos, ¿Cuántos kilos de queso podría elaborar semanalmente y mensualmente?
Answer:
En una semana, 1344 kilos
En un mes, 5760 kilos
Step-by-step explanation:
Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.
Por lo tanto, en un día, las 12 vacas podrían producir:
12 * 16 = 192 litros
En una semana, las 12 vacas podrían producir:
192 * 7 = 1344 litros = 1344 kilos
En un mes, las 12 vacas podrían producir:
192 * 30 = 5760 litros = 5760 kilos
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992