1 mile to yards, as a fraction..
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
Since 3 feet is a yard, one foot is 1/3.
So that is the answer.
Answer:
1/3
1 mile to yards as a fraction would probably be 1/3. I'm not so sure...
what equation in slope-intercept form represents the line that passes through the points (0,–7) and (–8,3)
Answer:
y=-.5x-7
Step-by-step explanation:
Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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(100 Brainly points)What are the sine, cosine, and tangent of 7 pi over 4 radians?
Answer:
The values of sine, cosine, and tangent of θ = 7 pi over 4 radians are -√2/2, √2/2 and -1.
a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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PLEASE HELP NOW!!!!!
Which expression is equivalent to 3^2 • 3^-5
3²×3^-5
Multiply the terms with the same base by adding their exponents
3²-5
Calculate the differences
3^-³
Express with a positive exponent using a ^-n =1/n
a
1/3³
Write the exponentiation as a multiplication
3×3×3
Multiply the numbers
27
Answer is 1/27
A 10.0 mL sample of copper has a mass of 89.6 g. What is the density of copper?
Answer:
8.96 g/cm3
Step-by-step explanation:
89.6 divided by 10 is 8.96
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
helpp please
Which of the statements are true given the function f(x)=n square root p(x) Check all that apply.
The Domain depends on the value of n
The Domain is all real numbers if n is ODD
The Domain is all real numbers if n is EVEN
The Domain is all real numbers
The Domain depends on the value of n.
The Domain is all real numbers if n is ODD.
The Domain is all real numbers if n is EVEN.
Which of the statements are true given the function?
Assuming that p(x) is a real-valued function, we can make the following statements about the domain of the function f(x) = n√(p(x)):
The domain of the function f(x) depends on the domain of the function p(x) since we cannot take the square root of a negative number. Therefore, the domain of f(x) is all real numbers x for which p(x) is non-negative (i.e., p(x) ≥ 0).
If n is odd, then the domain of f(x) is still all real numbers x for which p(x) is non-negative since the odd root of a negative number is negative, which is not allowed in the real numbers.
If n is even, then the domain of f(x) is all real numbers x since the even root of a negative number is allowed in the real numbers.
Therefore, the statement "The domain is all real numbers" is not true in general. It depends on the value of n and the domain of p(x).
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use the correct trig function to find the value of x. SOH, CAH, TOA
Answer:
About 11.025
Step-by-step explanation:
\(\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025\)
A rain gutter is made from sheets of
aluminum that are 24 inches wide by
turning up the edges to form right
angles. Determine the depth of the
gutter that will maximize its cross-
sectional area and allow the greatest
amount of water to flow. What is the
maximum cross-sectional area?
Flat sheet 24 inches wide
1 Write a quadratic function for the Area in terms of x: A(x) =
2 The cross-sectional area is maximized when the depth of the gutter is
3 The maximum cross-sectional area is square inches.
1. The quadratic function for the Area in terms of x: A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is 0.
3. The maximum cross-sectional area is square inches 0.
To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.
1. Write a quadratic function for the area in terms of x:
The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is:
To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.
3. The maximum cross-sectional area is square inches:
Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.
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Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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What is the difference?
-11x²-3x+4
(-4x+3)(7x - 3x² - 1)
3x² - 11x +4
-3x² + 3x + 2
32²-112+2
The difference of the algebraic expressions is 3x² - 11x + 4
How to find the difference of algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
The difference of two algebraic expressions means the subtraction of the expressions. That is:
(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1
= 3x² - 11x + 4
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Suppose in Florida it was observed that 70% of parents who were vegetarian were succeeded by children who were vegetarian and 30% by non-vegetarian. Also, 40% of non-vegetarians were succeeded by vegetarians and 60% by non-vegetarians. Set up the 2x2 stochastic matrix with columns and rows labeled V and NV that describes this situation.
V NV
A. V 0.7 0.4
NV 0.3 0.6
V NV
B. V 0.4 0.7
NV 0.3 0.6
V NV
C. V 0.7 0.4
NV 0.7 0.6
V NV
D. V 0.6 0.3
NV 0.3 0.4
Answer:
A
Step-by-step explanation:
From the information given:
To create the required stochastic matrix, we need to take parents who are shown to be vegetarian or nonvegetarian in the column and the children who are vegetarian or nonvegetarian into the row section.
So;
Vegetarian V → 70% → nonvegetarian NV → 30%
nonvegetarian NV → 40% vegetarian V → 60%
V NV
The 2x2 stochastic matrix = \(\left \Big { {{V} \atop {NV}} \right.} \left [\begin{array} {cc}0.7&0.4\\0.3&0.6\\\end{array}\right]\)
please help 30 points
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 12, 24, 36, 48, 60, 72. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 12. The second straight line joins 1,12 and 2,12 and the third straight line joins ordered pair 2,12 with the ordered pair 5,36. Which of the following best describes the motion of the car shown? It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours. It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hour
The best description of the car's motion as shown in the graph is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
How to Analyze a Distance-Time Graph?In a distance-time graph, an horizontal line implies no distance was covered within that time frame, meaning there was a stop.
Thus, in the graph given, the stop occurred 1 and 2, which is equivalent to an hour. From 2 to 5 on the x-axis means there was movement for up to 3 hours.
Therefore, the best description is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
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Given that the measure of angle 3 is 75o. What is the value of x if the measure of angle 7 is (x + 40) ?
Number only (no words or variables)
Answer:
The value of x is 35°.Step-by-step explanation:
We know that:
∠3 = 75°∠3 = ∠7 (Corresponding angles)∠7 = x + 40Work:
=> 75 = x + 40=> 75 - 40 = x=> 35 = xHence, the value of x is 35°.
Hoped this helped.
\(BrainiacUer1357\)
\(\\ \tt\longmapsto x+40=75\)
\(\\ \tt\longmapsto x=75-40\)
\(\\ \tt\longmapsto x=35\)
I will give brainiest to whoever answers correctly !!
Answer:
26275
Step-by-step explanation:
if simple interest its just .017*25000 which is 1 year then multiply by 3 and add to 25000
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.
Lynn draws quadrilateral WXYZ, which is a smaller to quadrilateral QRST, with WX = 5 in.
Enter values in the blank boxes to make the statement true.
The length of WZ is ______ inches and the measurement of angle Y is ______ degrees.
The length of WZ is 7.5 inches and the measurement of angle Y is 45 degrees for the similar shapes QRST and WXYZ.
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
If Lynn's quadrilateral WXYZ is a smaller shape of QRST, and they are similar, then:
the side QR corresponds to WX and QR corresponds to WX, so:
QR/WX = QT/WZ
2/5 = 3/WZ
WZ = (3 × 5)/2 {cross multiplication}
WZ = 15/2
WZ = 7.5
The angle RST corresponds to XYZ, so:
angle S = angle Y = 45°
Therefore, length of WZ is 7.5 inches and the measurement of angle Y is 45 degrees for the similar shapes QRST and WXYZ.
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Determine if the function is exponential or linear:
Answer : it’s linear,
because it’s line, and exponential function is curved
hope this helped =)
This is a linear graph. To tell the difference between an exponential and linear graph is simple. Linear graphs have a straight line, exponential graphs do not and have a curve instead.
which statement best describes the end behavior of the following function? F(x)=2x^4-x^3+5x-9
Here we have a polynomial of even degree with positive leading coefficient, so the end behavior is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
How is the end behavior of F(x)?
Here we have the function:
F(x) = 2x^4 - x^3 + 5x - 9
For any polynomial of even degree, we will have the same end behavior in both ends of the domain.
If the leading coefficient is positive, in both ends the function will tend to infinity.
If the leading coefficient is negative, in both ends the function will tend to negative infinity.
In the case of our function:
F(x) = 2*x^4 - x^3 + 5x - 9
We can see that the leading coefficient is 2, so it is positive, which means that the end behavior is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
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Examine the following graph, where a transformation maps P(x) to I(x).
To find:
The type of transformation mapping P(x) to I(x).
Solution:
Here, the red line is the reflection of blue line over the x-axis.
Thus, the third option is correct.
State which property needs to be used to write the expression as a single logarithm.
logo 16 - logo 4
O Quotient Property
O Power Property
O Product Property
O Subtraction Property
Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =
The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.
Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:
P(full) = Number of full trains / Total number of trains observed
P(full) = 14 / 20
Simplifying the fraction, we get:
P(full) = 7 / 10
Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
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Find the area of the parallelogram
Answer:
513
Step-by-step explanation:
B×L=Area
Base=24
Length =19
24×19=513
What is the mode of the following data set? 7, 3, 4, 5, 7, 3, 8, 7, 8
Answer:
7
Step-by-step explanation:
7 is the mode because it occurs the most in the set of numbers.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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87 ÷ 17 + [672 - 83] another one
Answer:
594.1
Step-by-step explanation:
87÷15=5.1
672-83=589
so then you add those to together and get 594.1