Answer:
0.429
Step-by-step explanation:
3 / 7 = 0.4285 ≈ 0.429 (Must have 3 numbers after the decimal)
Answer:
Step-by-step explanation:
3/7 = 0.428571 = 0.429.
y-2x=-1 in slope intercept form
Y=2x-1
Step-by-step explanation:
I am big brain
Answer:
y=2x-1
Step-by-step explanation:
You add 2x to the other side, then rearrange
An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer
Answer:
2b + 1.5c = 500
Step-by-step explanation:
Cost per brownie = $2
Cost per cookie = $1.50
Number of brownie = b
Number of cookie = c
how to calculate the area of a circle
Answer:
The area of a circle is pi multiplied by the radius squared (A = π r²)
The radius (r) is the distance from the center of the circle, to the edge of the circle.
Example:
if you have a circle with radius 2, the area would be:
r = 2
A = π (2)²
A = π(4)
A = 4π
Answer:
Area can be calculated by the formula = \(\pi r^{2}\)
Step-by-step explanation:
We can calculate the area of a circle with the formula,
Area of Circle = \(\pi r^{2}\)
Where r replicates the radius of the circle
Which pair shows equivalent expressions? A. 3(x+2)=3x+6 B. 3x+2x=x squared(3+2) C. 3x+2=3(x+2) D. -3(2+x)=-6x-3
Answer: A.
Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6
how many 2/3 are in 6.
Answer:
Uh i think 3?
Step-by-step explanation:
well 2 x 3 is 6, so if i had to assume i think 3, the whole number is 2 though
Answer:
9
Step-by-step explanation:
6/(2/3)= 6*3/2=18/2=9
1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
Will mark brainiest for CORRECT answer!
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số y = x^ + 4(1 −x) trên |-1; 1]
Answer:
tite ko malaki hahahhahhaahhaahahahahhaahjjaahahaahahahhah
Step-by-step explanation:
12345
Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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What is the best first step in solving the equation 3 + = 5?
Answer:
5 - 3
Step-by-step explanation:
easy way to find out
5-3= your answer in one step
If the width of a rectangle is 6 1/5 centimeters and the area of the rectangle is 46 1/2 square centimeters, what is the length of the rectangle? *
Answer:
The length of the rectangle is 7.5 cm.
Step-by-step explanation:
Given that,
The width of the rectangle, \(L=6\dfrac{1}{5}\ cm=\dfrac{31}{5}\ cm\)
The area of the rectangle, \(A=46\dfrac{1}{2}\ cm^2=\dfrac{93}{2}\ cm^2\)
We need to find the length of the rectangle. The formula for the area of a rectangle is given by :
A = LB
Put all the values,
\(L=\dfrac{A}{B}\\\\L=\dfrac{\dfrac{93}{2}}{\dfrac{31}{5}}\\\\L=7.5\ cm\)
So, the length of the rectangle is 7.5 cm.
A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed of 96 feet per second. The rock's helght above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . What is the maximum height in feet, that the rock will reach? Do not include units in your answer
Answer:
256 feet
Step-by-step explanation:
To find the maximum height, we have to find the vertex of the parabola, which is formed by the situation.
First, find the axis of symmetry using -(b/2a). This will give us the x value of the vertex.
Plug in b into the equation:
-(b/2a)
-(96 / 2(-16))
-(96 / -32)
-(-3)
= 3
Now, plug in 3 as x into the given equation, to find the maximum height that the rock will reach:
H(t) = -16t² + 96t + 112
H(3) = -16(3²) + 96(3) + 112
H(3) = 256
So, the maximum height that the rock will reach is 256 feet
Maximum height achieved by the rock on the parabolic path will be 256 ft.
Expression modeling the height of the rock is given by,
\(H(t)=-16t^2+96t+112\)Since, this equation is a quadratic equation, path followed by the rock will be a parabolic path and the highest point attained by the rock will be the vertex of the parabola.
And the vertex will be → \([-\frac{b}{2a},H(-\frac{b}{2a})]\)
Compare the given equation with standard form of the quadratic equation.
\(y=ax^{2}+bx+c\)
By comparing the equations → a = -16, b = 96 and c = 112
Therefore, x-coordinate → \(-\frac{b}{2a}=-\frac{96}{(-2\times 16)}\)
\(=3\)
And y-coordinate → \(H(-\frac{b}{2a})=H(3)\)
\(=-16(3)^2+96(3)+112\)
\(=-144+288+112\)
\(=256\)
Therefore, vertex of the parabola will be → (3, 256)
Here, x-coordinate represents the period or time taken by the rock to reach the highest point and y-coordinate represents the height achieved.
Therefore, maximum height the rock will reach will be 256 feet.
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A 6 inch personal pizza has 630 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
Answer:
157.5.
Step-by-step explanation:
If the 6-inch pizza has 630 calories, the 12-inch pizza has double.
6 x 2 = 12.
Therefore, the 12-inch pizza has 1,260.
630 x 2 = 1,260.
There are 8 slices in a pizza, making the answer 1,260 / 8.
1,260 / 8 = 157.5
An estimation could be 150 if you round 630 to 600.
Hope this helps!
The number of calories in one slice of a 12-inch pizza would be 157.5.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that the 6-inch pizza has 630 calories,
Therefore, the 12-inch pizza has double i.e. 1,260 calories.
To determine the number of calories in one slice of a 12-inch pizza.
We have to apply the division operation in 1,260 between 8,
⇒ 1,260 / 8.
⇒ 157.5
If we round 630 to 600, an estimate would be 150.
Hence, the number of calories in one slice of a 12-inch pizza would be 157.5.
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If you invest this money $7,185.51 each month in an account that compounds monthly with an APR of 2.5%, how much will you have saved i) after 1 year? ii) after 3 years?
He would have saved $87,221.02 after 1 year
He would have saved $268,335.90 after 3 years
What is an ordinary annuity?
An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:
FV=PMT*(1+r)^N-1/r
FV=future value of an ordinary annuity
PMT=monthly payment invested every month
r=monthly interest rate=annual interest/12
N=number of months that monthly payments were
FV after 1 year:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 1 year=12
FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*0.02528845698324970/0.00208333333333333
FV=$87,221.02
FV after 3 years:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 3 years=36
FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333
FV=$268,335.90
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A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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Find an equation in point-slope for the line having the slope m=5. and containing the point (3,4)
Answer:
slope:m=5m=5
Step-by-step explanation:
Step-by-step explanation:
y-y1=m (x-x1)
y-4=5 (x-3)
y-4=5x-15
5x-y=11
Help pls!! I’ll give points and brainliest!!!
Nico is hitting golf balls at a driving range. He uses the expression 50 – 10 to determine the number of balls he has left to hit. What could this expression mean? Check all that apply.
Nico started with 50 golf balls.
Nico has already hit 10 golf balls.
Nico has 40 golf balls left to hit.
Nico divided the golf balls into 5 equal groups.
Nico has a total of 500 golf balls.
The appropriate choices are:
Nico had 50 golf balls when he began.
40 golf balls remain for Nico to hit.
Let's analyze each option and determine if it aligns with the given expression "50 - 10."
Nico started with 50 golf balls.
This option is consistent with the expression. If Nico started with 50 golf balls and he hasn't hit any yet, the expression "50 - 10" would mean he has 40 golf balls left to hit. Therefore, this option is applicable.
Nico has already hit 10 golf balls.
This option is not consistent with the expression. If Nico had already hit 10 golf balls, the expression "50 - 10" would not reflect the number of balls he has left to hit. Instead, it would represent the initial quantity of balls minus the balls already hit. Therefore, this option is not applicable.
Nico has 40 golf balls left to hit.
This option is consistent with the expression. If Nico had 50 golf balls to start with and he has hit 10, subtracting 10 from 50 would indeed leave him with 40 golf balls left to hit. Therefore, this option is applicable.
Nico divided the golf balls into 5 equal groups.
This option is not consistent with the expression. The expression "50 - 10" does not imply any division of the golf balls into equal groups. Instead, it represents a subtraction operation. Therefore, this option is not applicable.
Nico has a total of 500 golf balls.
This option is not consistent with the expression. The expression "50 - 10" does not lead to a total of 500 golf balls. It represents a subtraction operation and does not involve any multiplication or addition that would yield a total of 500. Therefore, this option is not applicable.
Based on the analysis above, the following options are applicable:
Nico started with 50 golf balls.
Nico has 40 golf balls left to hit.
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Ble.
6
co
10
square units
Answer:
1/2×10×6=30
Step-by-step explanation:
H=6
L=10
therefore;
1/2×6×10=30
Answer:
30 units²
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = \(\frac{1}{2}\) × Base × Height
Given that,
Base = 10 units
Height = 6 units
Now let us find the area of the triangle.
Area = \(\frac{1}{2}\) × Base × Height
Area = \(\frac{1}{2}\) × 10 × 6
Area = \(\frac{1}{2}\) × 60
Area = 30 units²
Hope this helps you :-)
Let me know if you have any other questions :-)
Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?
Rs. 250000 was the price of the refrigerator.
Let x represent the price of the refrigerator.
Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:
Total Money paid = 100% - 60% = 40% of purchased price
40000 + 60000 = 40% of x
100000 = 0.4x
x = Rs. 250000
Hence, Rs. 250000 was the price of the refrigerator.
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what value does the 3 represent in the number 16.344
The numbers of products a store sold on 4 consecutive days were x,x+5,x+3 and x+12. if the daily average of the products sold was 13. What is the value of x?
Answer:
x = 8
Step-by-step explanation:
average is calculated as
average = \(\frac{sum}{count}\)
given daily average is 13 , then
\(\frac{x+x+5+x+3+x+12}{4}\) = 13 ( multiply both sides by 4 to clear the fraction )
4x + 20 = 52 ( subtract 20 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Can someone help me with this.
Answer:
here I put this link its a calculator for volumes and stuff https://www.calculatorsoup.com/calculators/geometry-solids/volume.php
Step-by-step explanation:
hoped this helped
Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Calculation of an inequality function:Since
First determine the slope
So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).
So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
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The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions of the piece?
Answer:
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cmStep-by-step explanation:
That's a rectangular piece, therefore let's consider the width to be x and the length to be y.
A = width * length
1) A = x * y = 1,984 cm^2
P = 2 * (width) + 2 * (length)
2) P = 2x + 2y = 188 cm
Isolate x or y in one of the equations.
xy = 1,984 cm^2
y = 1,984 cm^2 / x
Now plug it in the second equation.
2x + 2y = 188 cm
2x + 2 * (1,984 / x) = 188
Now we have only one variable. Now just solve it alegebraically.
2x + (3,968 / x) = 188
Multiply both sides by x in order to get rid of the fraction.
\(2x^{2}\) + 3968 = 188 x
Substract both sides by 188 x
2x^2 + 3968 - 188x = 0
Now divide by 2 to make the equation simpler.
x^2 - 94x + 1984 = 0
use the quadratic formula:
\(\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32\)
\(x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}\)
x is either 62 or 32.
let's find y:
y = 1,984 / x
y = 1,984 / 62 = 32
y = 1,984 / 32 = 62
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cm
Lines that appear to be tangent are tangent. O is the center of each circle.
What is the value of x? Show all work to receive full credit.
Note that in the prompt above, the value of x is given as: 16°
To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.
What is an isosceles triangle?As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 53°
Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(53°) = 180°
∠O = 180 - 106
∠O = 74°
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
74° + 90° + ∠OCB = 180°
∠OCB = 180° - 74° - 90°
∠OCB = 16°
Hence, the value of x is 16°.
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Which of the following equations represents a linear function?
x = 1
y equals one third times x squared
y equals one fourth times x minus 1
4x − 2 = 6
Points earned on this question: 2
Answer:
C. 4x − 2 = 6
Step-by-step explanation:
Hope this helps :)
The equation which represents a linear as required in the task content is: y equals one fourth times x minus 1.
What is a linear function?A linear function has one independent variable and one dependent variable in which case the degree of the equation is 1: meaning- the highest power of the variables is 1.
Conventionally, The independent variable in this regard is x and the dependent variable in this regard is y.
The required equation which represents a linear function is: y equals one fourth times x minus 1: \(y = \huge\text(\dfrac{1}{4}\huge\text )x - 1\)
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
31 is what percent of 37?
Answer: The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.