~Shoto Todoroki here~
1. Subtract the numbers
2. Rearrange terms
3. Add to both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
F=4hope this helps :D
Wich is an equation of the line with a slope of 1/4 and a y-intercept of -2
Answer: y = 1/4x -2.
Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept. The slope, in this case, is 1/4 and the y-intercept is -2. The equation of the line for this problem is y = 1/4x - 2.
Hope this helps! :)
Write an equation to determine the measure of
A clock's minute hand travels one full circle each hour. A particular clock's minute hand is 10. 2 cm. What is the approximate area covered by that minute hand in 3 hours? Use 3. 14 for π. 192. 17 cm² 326. 69 cm² 980. 06 cm² I don't know.
In three hours, it will cover 3 full circles. Then the area of the circle covered in three hours is 980.55 cm².
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A clock's minute hand travels one full circle each hour.
A particular clock's minute hand is 10.2 cm.
In one hour, it covers one full circle. Then in three hours, it will cover 3 full circles.
The area of the circle covered in three hours will be
[tex]\rm Area \ of \ circle \ in\ 3\ hours = 3 * area\ of\ one\ circle\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi r^2\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi*10.2*10.2\\\\Area \ of \ circle \ in\ 3\ hours = 980.55[/tex]
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Y-3 = 5(X-2) in standard form
Answer:
5x-y=7
Step-by-step explanation:
y-3=5(x-2)
y-3=5x-10
y=5x-10+3
y=5x-7
5x-y=7
Use the equation to answer the following question. 3x^(2)+7x-20=0
What are the solutions of the equation?
A. x=-(5)/(3) and x=4
B. x=-(4)/(3) and x=5
C. x=(4)/(3) and x=-5
D. x=(5)/(3) and x=-4
I just need help please
Answer:
D. x=(5)/(3) and x=-4
Step-by-step explanation:
mulitply 3 and -20 =
-60
which 2 factors of -60, that when added make +7?
+12 and -5 do this
3(x+12/3)(x-5/3) = 0
3(x+4)(x-5/3)=0
divide both sides by 3
(x+4)(x-5/3)=0
x= -4 and x=5/3
A square and an equiangular triangle have the same perimeter. If the area of the square is 144 cm2, what is the length of one side of the triangle
Is the number 56,240
evenly divisible by the
number 10?
Yes or no
What is the volume of the figure below if a = 9 units and b = 7 units?
A.
364.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
760.5 cubic units
Answer: C
Step-by-step explanation:
Una compañía de transporte público cobra " "x" " por transportar cierta mercancía 20 kilómetros y " "z" " por transportar la misma mercancía 25 kilómetros. A) Determine la relación entre la tarifa total y la distancia recorrida, suponiendo que es lineal. B) ¿Cuál es la tarifa mínima por transportar esta mercancía? C) ¿Cuál es la cuota por cada kilómetro que la mercancía es transportada?" x = $190. 00 z = $242. 0. Prueba con las sugerencias que aparecen más abajo o introduce una consulta nueva
Utilizando los dos puntos dados, veremos que la relacion lineal es:
A) y = ($10.4 /km)*x -$18A) y = ($10.4 /km)*x -$18B) -$7.6C) $10.4 /km¿Como encontrar la relacion lineal?Una ecuación lineal se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:
a = (y₂ - y₁)/(x₂ - x₁).
Aca tenemos los dos puntos:
(20km, $190)
(25 km, $242)
Entonces la pendiente será:
a = ($242 - $190)/(25km - 20km) = $10.4 /km
y = ($10.4 /km)*x + b
Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:
$190 = ($10.4 /km)*20km + b
$190 = $208 + b
$190 - $208 = b = -$18
Entonces la ecuación es:
y = ($10.4 /km)*x -$18
B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:
y = ($10.4 /km)*1 km - $18 = -$7.6
Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.
C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.
Sí quieres aprender más sobre lineas, puedes leer:
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Factor completely 3x2 − 11x 8. (x 4)(3x − 2) (x − 2)(3x − 4) (x 1)(3x − 8) (x − 1)(3x − 8).
The factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
What will be the factors of the given equation?When we split the equation into two groups we will get
[tex]3x^{2} -3x-8x+8[/tex]
[tex]3x(x-1)-8(x-1)[/tex]
Now taking (x-1) common
[tex](3x-8)(x-1)[/tex]
Thus the factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
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Amy went on a vacation for 6 weeks last summer. how many days. long was
Amy's vacation
Answer:
42 days
Step-by-step explanation:
6 weeks times 7 days is 42 days i believe
What is the product of (3 y Superscript negative 4 Baseline) (2 y Superscript negative 4 Baseline)? StartFraction 6 Over y Superscript 8 Baseline EndFraction StartFraction 1 Over 6 y Superscript 6 Baseline EndFraction StartFraction 6 Over y Superscript 16 Baseline EndFraction StartFraction 1 Over 6 y Superscript 16 Baseline EndFraction.
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are as 3y⁻⁴ and 2y⁻⁴.
The product of these two will be
[tex]\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}[/tex]
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
More about the multiplication link is given below.
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The result of the product expression [tex](3y ^{-4}) (2y^{-4})[/tex] is 6/y^8
How to determine the product?The product expression is given as:
(3y ^{-4}) (2y^{-4)
Rewrite the expression properly as:
[tex](3y ^{-4}) (2y^{-4})[/tex]
Rewrite the factors of the expression as fractions
[tex]\frac{3}{y ^4} * \frac{2}{y^4}[/tex]
Multiply 3 and 2
[tex]\frac{6}{y ^4*y^4}[/tex]
Apply the law of indices
[tex]\frac{6}{y ^{4+4}}[/tex]
Add 4 and 4
[tex]\frac{6}{y ^{8}}[/tex]
Hence, the product of [tex](3y ^{-4}) (2y^{-4})[/tex] is [tex]\frac{6}{y ^{8}}[/tex]
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-6, -7)
explanation:
The value of y will be negative and x value shall be same.
Here the original coordinates of A: (-6, 7)
so when reflected: (-6, (-)7) = (-6, -7)
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram. Use scientific notation to express the number of bacteria that would be in a sample weighing 18 grams.
if Ibacteria are measured to be in a dirt sample that weighs 1 gram, Then he sample of bacteria that would be in a sample weighing 18 grams t is mathematically given as
x=1.044×10^9
What is the sample of bacteria that would be in a sample weighing 18 grams?Question Parameter(s):
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram.
Generally, the equation for the statement is mathematically given as
5.8×10^7=1g
x=18grams
Therefore
x=\frac{5.8×10^7*18}{1}
x=1.044×10^9
In conclusion, the sample of bacteria is
x=1.044×10^9
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Evaluate the expression when a=- 7 and x=3.
a-8x
Answer:
-31
Step-by-step explanation:
a - 8x will change to (-7) - 8(3) = -31
Answer:-31
\(31\)
Step-by-step explanation:
Substitute: \(7 - 8 \times (- 3)\)
Remove the parentheses:\(7 + 8 \times 3\)
Calculate the product or quotient:\(7 + 24\)
Calculate the sum or difference:\(31\)
Answer: \(31\)
Two triangles that have three pairs of proportional sides are always similar. Identify the ratios of the length of
each side. Tell whether the triangles are similar or not similar and explain why.
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
Answer:
Step-by-step explanation:
Given "Two triangles that have three pairs of proportional sides are always similar."
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
16/18 = 8/9
18/24 = 3/4
24/36 = 2/3
So the three pairs of sides are not proportional and the triangles are not similar.
No as
One ratio is unsimilar so triangles are not similar
Write a+b as a difference.
Answer:
I think a-b.
Step-by-step explanation:
Hope it's help you ✨
Terry has an investment account which compounds interest continuously at an annual interest rate of 1. 4%. After 3 years, he has $1700 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you've calculated the final answer
Answer:
$1,630.08
Step-by-step explanation:
The value of an amount earning interest continuously compounded is given by the formula ...
A = Pe^(rt)
The value of P can be found by dividing by its coefficient:
P = A/(e^(rt)) = Ae^(-rt)
P = $1700·e^(-0.014·3) ≈ 1630.0786
Terry placed $1,630.08 in the account.
Start a 4 create a pattern that multiplies each number by 2 and subtracts 1. Stop when you have 5 number
Answer:
(0 x 2) - 1 = -1
(1 x 2) - 1 = 1
(2 x 2) - 1 = 3
(3 x 2) - 1 = 5
If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x 5? Translate each point of the graph of g(x) 5 units up. Translate each point of the graph of g(x) 5 units down. Translate each point of the graph of g(x) 5 units left. Translate each point of the graph of g(x) 5 units right.
The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,
[tex]y=f(x)=\rm log_2x[/tex]
Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,
[tex]g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5[/tex]
Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
Learn more about Function:
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Answer:
Its A: Translate each point of the graph of g(x) 5 units up.
Step-by-step explanation:
Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
Using translation concepts, it is found that the ordered pair of the final point is given by:
D. (5,4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this situation, considering that we start at point (5,4), the translations are as follows:
5 units east, hence x = x + 5 = 10.4 units south, hence y = y - 4 = 0.4 units west, hence, x = x - 4 = 6.4 units north, hence y = y + 4 = 4.1 unit west, hence x = x - 5 = 5.It ends at the starting point, hence option D is correct.
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This is for my little brother
Answer:
9 1/3
Step-by-step explanation:
Pls, choose me as brainliest!
10 less than the product of 4 and z
Answer:
4z-10
Step-by-step explanation:
Hope this helped idek if its an option but so srry if its wrong.
can someone please help me ;w; i would appreciate it
Answer:
Leg: BC (or CB)
Leg: AC (or CA)
Hypotenuse: AB (or BA)
Answer:
Leg 1: BC (CB) 3cm
Leg 2: AC (CA) 4cm
Hypotenuse: AB (BA) 5cm
Step-by-step explanation:
2. Calculate the area of
the three figures.
Which figure has the
greatest area?
Answer:
can you send a clearer picture
Add (4d+1)+(2y+9) please help
Answer: 4d + 2y + 10
Step-by-step explanation: Hoped This Helped! Thx For The Points!
The original price of a dress is $39.99. Julie buys the dress when it is on sale for 10% off its original price. Two weeks later, Mindy buys the same dress when it is now on sale for 20% off its original price.
How much more money did Julie spend than Mindy on the dress?
$ [blank] −−−−−−
Enter your answer as a number. If it is a decimal, round it to the nearest whole number, like this: 42
Answer: julie spent 4 more dollars than mindy
Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars
Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
What is off/Discount?Off/Discount is an amount that is subtracted from the regular price of an item.
The original price of dress [tex]= \$39.99[/tex]
Julie buys the dress for [tex]10\%[/tex] off at its original price.
So,
Julie buys the dress for [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]
[tex]= \$35.991[/tex]
Mindy buys the same dress for [tex]20\%[/tex] off at its original price.
Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]
[tex]=\$31.992[/tex]
So,
Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]
[tex]=\$3.999[/tex]
[tex]=\$4[/tex]
Hence, we can say that Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
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Jane is 7 years older than John.If the sum of their ages is 43.How old is Jane and how old is John
Answer:
If
Jane= x
John = y
y+7= x
x-y=7 ---- (1)
x+y=43 --- (2)
(1) + (2),
x-y+x+y=7+43
2x=50
x= 50÷2
x= 25
substituting x= 25 in (2),
25+y=43
y= 43-25
y= 18
Jane is 25 years old and John is 18 years old.
Step-by-step explanation:
when does it become more efficient to buy another ticket book instead of additional individual tickets
Answer:
Because it’s easier to be alone than without friends if ur a depressed emo like me
prove that if∠ 1 ≅ ∠2, then ∠2 ≅ ∠3. what is m∠1?
We see that angle 1 and angle 2 are equal.
By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.
And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal