Answer:
It could not have gone anywhere. It is impossible to travel negative miles per hour.
However if it was traveling 34 mph for 0.75 miles then it would go 25.5 miles
Which value for x makes the sentence true? 1/50+x=1/10
Answer:
2/25 is the Answer, as a decimal it is 0.08
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x + 1/50 = 1/10
Step 2: Subtract 1/50 from both sides.
x + 1/50 - 1/50 = 1/10 - 1/50
X = 2/25
Proof that it is the answer
0.02 + 0.08 = 0.1
0.02 is 1/50
0.08 is 2/25
0.1 is 1/10
Hope this helps!
[tex]\bold{Hey\ there!} \\ \bold{\frac{1}{50}+x=\frac{1}{10}}\\ \\ \bold{You\ have\ to\ simplify\ both\ sides\ of\ your\ equation\downarrow}\\ \bold{Like:x+\frac{1}{50}=\frac{1}{10}} \\ \\ \bold{Next,\ you\ have\ to\ \underline{SUBTRACT}\ by\ \frac{1}{50}\ on\ your\ sides} \\ \bold{x+\frac{1}{50}-\frac{1}{50}=\frac{1}{10}-\frac{1}{50}}\\ \\ \bold{Cancel:\frac{1}{50}-\frac{1}{50}because\ it\ equals\ to\0!} \\ \bold{Keep:\frac{1}{10}-\frac{1}{50}\ because\ it\ helps\ us\ solve\ for\ our\ answer!}[/tex]
[tex]\bold{\frac{1}{10}-\frac{1}{50}=\frac{2}{25}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:x=\frac{2}{25}}}}\checkmark \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
Estimate 31,969 divided by 488. Round the numbers and the divide.
32,000 divided by 500 = 64
Answer: 32000/500= 64 approximately
Step-by-step explanation:
64 is the answer because 31969/488= 65.51
Need help with #1 please it’s algebra!
Answer:
145°
Step-by-step explanation:
The angle is 90°+55°=145°
Answer: 145°
Step-by-step explanation:
The angle of straight lines is always 180°, so I took 180 and subtracted 55 from it, and then 90 to get 35. I got 90 because the x and y axis are perpendicular to each other, and the angle between perpendicular lines is always 90. 35° is the angle of the small un marked section to the left of the circles, so to get the angle of the circle-like line, I did 180-35 to get 145°.
what is the height of a triangle with area 67.5 square meters and base 9 meters?
Answer:15
Step-by-step explanation:h=2 A/b meaning h=2 67.5/9
Answer:
h = 15 meters
Step-by-step explanation:
The area of a triangle is determined by its height multiplied by its base.
The equation is A = 1/2*bh.
Plugging in the numbers gives us 67.5 = 1/2*9h.
Dividing by 4.5 in both sides gives us that h = 67.5/4.5 = 15 meters.
puzzle: the quadratic code 4- 3
Answer:
The answer to 4-3 is 1.
Step-by-step explanation:
The quadratic code '4 - 3' corresponds to the mathematical expression "4 minus 3," which equals 1.
The quadratic equation '4 - 3' is a simple algebraic equation that can be decoded as follows:
Start with the number 4.
Subtract 3 from it.
So, the decoded mathematical expression is:
4 - 3 = 1
The result is 1.
Therefore, the quadratic code '4 - 3' corresponds to the mathematical expression "4 minus 3," which equals 1.
This demonstrates how to decode and interpret a simple algebraic expression, showing that when you subtract 3 from 4, the result is 1.
It's a basic example of performing arithmetic operations on numbers.
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The probable question may be:
Decode the quadratic expression '4 - 3' to reveal the mathematical expression it represents. Provide the complete mathematical expression that corresponds to the given quadratic code.
HELP PLEASE SOMEONE PLEASE HELP ME?!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:false
Step-by-step explanation: divide each side by 7 you get b ≤ -7. The red line needs to go the other way since it is less than
Answer:
False, it is incorrect
Step-by-step explanation:
7b≤ -49
Divide by 7
7b/7 ≤-49/7
b ≤-7
We have a closed circle at -7 (closed because of the equals)
b is less than so the lines goes to the left
Order from greatest to least : 2/3,66%,0.67
2/3 is 0.6 repeating
66% is just 66%
same with 0.67
order is 0..67, 2/3, then 66%. i am the stupid.
% = decimal number
Answer:
0.67, 2/3, 66%
Step-by-step explanation:
2/3 decimal is 0.66666666667
66% decimal is 0.66
and 0.67 is 0.67
Hope this helped! Please mark as brainliest! Thanks!
(x^(2))/(9)+(y^(2))/(49)=1 The distance from the center to the major intercept is
Answer:
7
Step-by-step explanation:
This is an equation of an ellipse of the form:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a and b are the minor and major intercepts, given a<b
In this question, a<b and a = 3 and b = 7
The distance from the center to the major intercept is b, thus the distance we are seeking for is 7
Answer:
b = 7 units.
Step-by-step explanation:
The given equation of the ellipse is
[tex]\frac{x^{2} }{9} +\frac{y^{2} }{49}=1[/tex]
As we know in an ellipse [tex]\frac{x^{2} }{a^{2} }+ \frac{y^{2} }{b^{2}}=1[/tex]
a will be major axis and b is the minor axis when ( a > b )
In the given equation 49 > 9 ⇒ b² > a²
so major axis will be = √49
= 7
Therefore, distance from center to the major intercept is b = 7 units.
What exponential function represents the data in the table?
x f(x)
3 64
4 256
5 1024
Answer: [tex]f(x)=4^x[/tex]
Step-by-step explanation:
The general exponential function is given by :-
[tex]f(x)=Ab^x[/tex], where A is initial amount , b is multiplicative growth rate and x is time period.
Also, the multiplicative growth rate is the common ratio of the consecutive terms.
From the given table , [tex]b=\dfrac{256}{64}=4[/tex]
Substitute, x = 3 , f(x)=64 and b=4 , we get
[tex]64=A(4)^3\\\\\Rightarrow\ 64=A(64)\\\\\Rightarrow\ A=1[/tex]
Hence, the exponential function represents the data in the table is
[tex]f(x)=(1)(4)^x\\\\\Rightarrow\ f(x)=4^x[/tex]
Find the volume of the figure: an oblique cylinder next to a cube.
Answer:
[tex](2,200\pi +8,000)\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the figure is equal to the volume of cube plus the volume of the cylinder
step 1
Find the volume of the cube
The volume of the cube is equal to
[tex]V=b^{3}[/tex]
we have
[tex]b=2(10)=20\ ft[/tex] ----> the length side of the cube is equal to the diameter of the cylinder
so
[tex]V=20^{3}=8,000\ ft^{3}[/tex]
step 2
Find the volume of the cylinder
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=10\ ft[/tex]
[tex]h=42-20=22\ ft[/tex]
substitute
[tex]V=\pi (10)^{2} (22)[/tex]
[tex]V=2,200\pi\ ft^{3}[/tex]
step 3
The volume of the figure is equal to
[tex](2,200\pi +8,000)\ ft^{3}[/tex]
The volume of the figure = volume of oblique cylinder + volume of cube = 2,200π + 8,000 cubic feet.
What is the Volume of an Oblique Cylinder?Volume of oblique cylinder = πr²h [radius of cylinder = r].
The volume of the figure = volume of oblique cylinder + volume of cube = πr²h + s³
Given the following:
s = 2(10) = 20 ftr = 10 fth = 42 - 20 = 22 ftPlug in the values into πr²h + s³:
The volume of the figure = π(10²)(22) + 20³
The volume of the figure = 2,200π + 8,000 cubic feet.
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Rewrite this polynomial in terms of its simplest factors using the appropriate method: x3 + x2 − 6x.
Answer: GCF = x
Step-by-step explanation:
x(x^3/x + x^2/x + -6x/x)
x(x^2 + -6)
x(x - 2)(x + 3)
Answer:
x(x + 3)(x - 2)
Step-by-step explanation:
Factor out x from each term
= x(x² + x - 6)
To factor the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x - term (+ 1)
The factors are + 3 and - 2, since
+ 3 × - 2 = - 6 and + 3 - 2 = + 1, hence
x² + x - 6 = (x + 3)(x - 2)
---------------------------------------
x³ + x² - 6x = x(x + 3)(x - 2) ← in factored form
If p(x) = ab^x and r(x) = cd^x, then p(x) * r(x) equals
p(x) * r(x) = ab^x * cd^x
p(x) * r(x) = (a*c)*(b^x*d^x)
p(x)*r(x) = ac(bd)^x
For the last step, I used the rule that (ab)^x = a^x*b^x
Final Answer: ac(bd)^xThe product of two exponential functions p(x) = ab^x and r(x) = cd^x is calculated by following the rules of exponents in mathematics, resulting in p(x) * r(x) = a * c * (bd)^x
Explanation:The student is asking for the product of two exponential functions. If p(x) = ab^x and r(x) = cd^x, their product can be calculated as follows:
Firstly, recognize each function as an exponential. The base of the exponential in p(x) is b, and in r(x) is d. Multiply the two equations together. This can be done because the operations defined for the exponential can be applied when the base of two exponential functions are the same. Substitute p(x) and r(x) back into the equation. We get: p(x) * r(x) = ab^x * cd^x Apply the rules of exponents in math, more specifically the multiplication rule, which states that a^m * a^n = a^(m+n). So, p(x) * r(x) = a * c * (bd)^xLearn more about Multiplication of Exponential Functions here:
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What is the value of y in the product of powers below?
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
Answer:
The value of y is 0
Step-by-step explanation:
8³ * 8^-5*8^y = 8^-2 or 1/8²
Taking indices of both sides
From first law of indices;
Multiplication sign change to addition; i.e. x^a * x^b = x^(a + b).
So,
8³ * 8^-5*8^y = 8^-2
Becomes
8^(3 + (-5) + y) = 8^-2
Same base of 8 can cancel one another. So, we're left with
3 + (-5) + y = -2
Open the bracket
3 - 5 + y = -2
-2 + y = -2
Make y the subject of formula
y = 2 - 2
y = 0
Hence, the value of y in the equation is 0
Need help please !!!
Answer:
option C is the correct answer
Step-by-step explanation:
The trigonometric equation you are using has a general form
y = A* tan w*(x - r)
Where
A is the amplitude of the function
w is the frequency rad/s
r is the phase shift
In your case
A = -2
The frequency is
w = (2*pi)/period
period = pi/4
w = 8
r = -pi/2
y = -2* cos 8*(x + pi/2)
The number a is smaller than the number b by 1/5 of b . By what part of a is b bigger than a?
Answer:
it is bigger by 1/5
Step-by-step explanation:
Express the area of a rectangle with length 4x^34x
3
4, x, start superscript, 3, end superscript and width 555 as a monomial.
The awnser is 20 x 3
Hope this helps!
The area of a rectangle with length 4x^3 and width 5 is expressed as the monomial 20x^3 by multiplying the length and width.
To express the area of a rectangle as a monomial when given the length and width, we simply need to multiply these two dimensions together. In this case, the rectangle has a length of 4x^3 and a width of 5. The area (A) of a rectangle is given by the formula A = length * width.
So, the area of this rectangle can be calculated as:
A = 4x^3 * 5
Now, we multiply the numerical coefficients (4 and 5) and then combine them with the variable part:
A = (4 * 5) x^3
A = 20x^3
This expression, 20x^3, represents the area of the rectangle as a monomial
the sum of two numbers is 17. one number is 3 less than 2/3 of the other number. what is the lesser number?
the lesser number is 5.
steps:Let the first number = x
Let the second number = y
set up two equations
x + y = 17
2/3 x -3 = y
sub the second equation into the first one
x + 2/3 x - 3 = 17
collect like terms (1x = 3/3 x)
5/3 x - 3 = 17
add 3 to both sides
5/3 x = 20
multiply by 3 on both sides
5x = 60
divide by 5 on both sides
x = 12
sub back in one of the equations and solve to find the other number:
x + y = 17
12 + y = 17
y= 5
the lesser number is 5•have a good day• :) ~ ♡lipika♡
The lesser number is 5.
Let us consider that first number is x .
Since, second number is 3 less than 2/3 of the other number.
So that, second number [tex]=\frac{2}{3}x-3[/tex]
The sum of both number is 17.
[tex]x+\frac{2}{3}x-3=17\\\\\frac{5}{3}x=17+3\\\\\frac{5}{3}x=20\\\\x=20*\frac{3}{5}=12[/tex]
Lesser number is. [tex]=\frac{2}{3}x-3=\frac{2}{3}*12-3=5[/tex]
Hence, the lesser number is 5.
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An account earns simple interest.
$2000 at 3.5% for 4 years
a. Find the interest earned.
$280
b. Find the balance of the account.
$
Answer:
$2280
Step-by-step explanation:
I see you've already found part a, which is to find the amount of interest earned. The next part is easy, to find the balance of the account after four years, just add the interest you've found back to the principal (the original size of the account or loan). $2000 + $280 equals $2280.
The interest earned on the account is $280. The balance of the account after 4 years is $2280.
Explanation:To find the interest earned on the account, we use the formula for simple interest:
I = PRT
where:
I is the interest P is the principal amount (the initial amount of money) R is the rate of interest T is the time in years
Substituting the given values:
I = $2000 * 3.5/100 * 4 = $280
To find the balance of the account, we add the interest earned to the principal:
Balance = P + I = $2000 + $280 = $2280
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I need the answer to this please
Answer:
~
Step-by-step explanation:
There isn't enough context information to solve the following problem.
a different lake currently has an area of 240 square km but is shrinking each year by 6% from the previous year's area. How much area will the lake have after 13 years?
The answer is:
[tex]A(13)=107.37Km^{2}[/tex]
Why?We can calculate the area of the lake after 13 years using the following equation:
[tex]A(t)=A(initial)(1-ShrinkingRate)^{t}[/tex]
Where,
A(t), is the area after t time (years)
A(Initial), is the initial area
Shrinking Rate, is the rafe of shrinking and it's 6% or 0.06.
t, is the time
So, substituting we have:
[tex]A(13)=240(1-0.06)^{13}=240*0.447=107.37Km^{2}[/tex]
So, the are after 13 years will be:
[tex]A(13)=107.37Km^{2}[/tex]
Have a nice day!
Bill is going to order new jerseys for his baseball team. The jerseys will have the team logo printed on the front.
"Print It" will charge $21.50 each for the jerseys.
Using n for the number of jerseys ordered and c for the total cost in dollars, write an equation to show the total cost of the jerseys from "Print It."
Answer:
Equation: $21.50•n=c
A bakery used 2 cups of flour to make a full size cake If they wanted to make cake that was 0.4 the size how many cups of flour would they need.
Answer:
0.8 cup(s)
Step-by-step explanation:
2 x 0.4 = 0.8
Answer:
0.8
Step-by-step explanation:
So to get this answer you had to mulyiply the 2 cups of flour by the size you want which is 0.4 . 2(0.4)=0.8
59.4 scientific notation
Answer:
5.94x10^1
Step-by-step explanation:
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
What is the value of -6.5 + (-2.5)-(-18)?
Answer:
9
Step-by-step explanation:
If 4b-1=b, then 24b= ?
Answer:
Step-by-step explanation:
4b-1=b
3b-1=0
3b=1
b=1/3
24b=
24(1/3)=
8
Equations are expression separated by an equal sign. The value of 24b if 4b-1 = b is 8
Equation and expressionEquations are expression separated by an equal sign
Given the expresion
4b - 1 = b
Find the value of "b"
4b - b = 1
3b = 1
b = 1/3
Determine the value of 24b
24b = 24(1/3)
24b = 8
Hence the value of 24b if 4b-1 = b is 8
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8 If f(x) = x3, which of the following describes the graph of f(x + 2)? A. The graph of f(x + 2) is a horizontal shift of f(x) = x3 two units to the right. B. The graph of f(x + 2) is a vertical shift of f(x) = x3 two units up. C. The graph of f(x + 2) is a horizontal shift of f(x) = x3 two units to the left. D. The graph of f(x + 2) is a vertical shift of f(x) = x3 two units down.
Answer:
C
Step-by-step explanation:
In translating graphs of functions, we can follow 2 rules:
1. The graph of [tex]f(x)+a[/tex] is the graph of [tex]f(x)[/tex] shifted a units UP VERTICALLY and the graph of [tex]f(x)-a[/tex] is the graph of [tex]f(x)[/tex] shifted a units DOWN VERTICALLY.
2. The graph of [tex]f(x+a)[/tex] is the graph of [tex]f(x)[/tex] shifted a units to the LEFT HORIZONTALLY and the graph of [tex]f(x-a)[/tex] is the graph of [tex]f(x)[/tex] shifted a units RIGHT HORIZONTALLY.
If we understand the 2 rules above, we clearly know that f(x+2) will be a horizontal shift to the LEFT, of course, with respect to the function [tex]f(x)=x^3[/tex]. Looking at the answer choices, C is right.
a line passing through the origin intersects the point -8 -5 what is the slope of the line
To find the slope of a line passing through the origin and a point, use the formula slope = (y2 - y1)/(x2 - x1). For a line passing through origin and the point (-8,-5), the slope is 5/8.
Explanation:The topic at hand revolves around the concept of slope and the algebra of straight lines. The slope is calculated by finding the change in y (vertical axis) over the change in x (horizontal axis). To find the slope of a line passing through the origin and the point (-8,-5), use the formula slope = (y2 - y1)/(x2 - x1).
In this case, the origin is point (0,0) and the given point is (-8,-5). So to find the slope, we substitute these values into the slope formula: slope = (-5 - 0)/(-8 - 0) = 5/8. Therefore, the slope of the line passing through the origin and the point (-8,-5) is 5/8.
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The slope of the line is 5/8.
Explanation:The slope of a line, denoted by m, represents the rate of change between the vertical and horizontal components of two points on the line.
To find the slope of a line passing through the origin and intersecting the point (-8, -5), we can use the slope formula. The slope formula is given by: m = (y2 - y1) / (x2 - x1).
Plugging in the values from the given point gives: m = (-5 - 0) / (-8 - 0)
= -5 / -8
= 5/8.
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the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.
Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
Final answer:
To find the height of the cylinder with a volume of 1,356.48 cubic feet and a diameter of 12 feet, divide the volume by the area of the base (calculated with a radius of 6 feet) to get approximately 11.99 feet.
Explanation:
To calculate the height of a cylinder when the volume and diameter are given, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we have a volume of 1,356.48 cubic feet and a diameter of 12 feet, meaning the radius is 6 feet (half of the diameter). So we can plug these values into our formula to solve for h.
First, calculate the area of the base (πr²): 3.14159 × (6 feet)² = 3.14159 × 36 = 113.0976 square feet. Then we divide the given volume by this area to find the height: 1,356.48 cubic feet / 113.0976 square feet = 11.99 feet. Therefore, the final answer for the height of the cylinder is approximately 11.99 feet.
In a week tracey earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45 write and solve an algebraic equation to show how to find the amount that Kayla earns
Answer:
Step-by-step explanation:
Tracey Earns in week= $102.45
Tracy=2x-12.45
102.45=2x-12.45
2x= 102.45+12.45
2x=114.90
x= 114.90/2
x=$57.45
Kayla earns 57.45 dollars
The equation is n = (102.45 + 12.45) x 2.
And Kayla earns $229.8.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
In a week, Tracey earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45.
Let n be the amount Kayla earns.
Then,
Kayla earns,
n = (102.45 + 12.45) x 2
n = $229.8
Therefore, Kayla earns $229.8.
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At an elementary school there are two fenced in areas on the playground. The small play area is
1
4
the area of the large play area. The total square footage of the two areas is 2000 ft2. What is the size of the small play area?
A) 200 ft2
B) 400 ft2
C) 800 ft2
D) 1600 ft2
Well, this is just a big guess, but probably the most sense-able, B) 400 ft²