Answer:
your answer will be Isosceles trapezoid
Step-by-step explanation:
^_^
Which expression represents twice the sum of a number and six
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)
The difference of -10 and the product of p and q
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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Find the slope and the y−intercept of the line in the graph.
Answer:
hgnbgnbgn
Step-by-step explanation:gnhgbnghnb
g(x)=2x - 7/ x+6, x≠-6
Find g-¹(x)
Answer: The only solution to this is x = 0. Therefore, g(1) = 0 and g' (1) = g' (1) = 1/f ' (0) = 1/2.
Step-by-step explanation: Since, f(x) = 3x3 + 2x + 1, it follows that f ' (x) = 9x2 + 2. So by the above theorem,
g' (1) = 1/f ' (g(1)) where f ' (g(1)) = 9 · g(1)2 + 2.
It remains to figure out what g(1) equals. Since g(x) = f -1 (x), g(1) is the solution to
3x3 + 2x + 1 = 1 <----> (3x2 + 2)x = 0
At the beginning of a snowstorm, Leah had 7 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Leah have on her lawn 3 hours after the snow began to fall? How much snow would Leah have on her lawn after tt hours of snow falling?
Answer:
10 inches
Step-by-step explanation:
Dylan bought seven candy bars for $10.50. How much did he pay for each candy bar?
Answer: 1.5 or 1 1/2
Step-by-step explanation:
He payed $1.50 for each candy bar
Using the photo above, describe what type of symmetry it has.
a. if it has reflection symmetry, draw all lines of symmetry.
b. if it has rotational symmetry, what is all the angle of rotational symmetry (the smallest)
c. if has translational symmetry, what is shape is getting repeated
9514 1404 393
Answer:
b) rotational symmetry: multiples of 120°
Step-by-step explanation:
The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.
Javi made a certain number of bracelets for a craft show. Sam made 7 more than Javi. Ryan made 3 times as many as Sam.
Which expression represents the total number of bracelets Ryan made if Javi made s bracelets?
3s + 7
s + 21
21s
3(s + 7)
Answer: D
Step-by-step explanation:
Answer:
3(s + 7)
I KNOW!!
Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
the perimeter of a rectangle is 70 cm . if the ratio of the width to the length is 2:5 what is the width ?
Answer:
width = 10 cm
Step-by-step explanation:
the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )
the perimeter (P) of a rectangle is calculated as
P = 2 × width + 2 × length
given P = 70 then
2(2x) + 2(5x) = 70
4x + 10x = 70
14x = 70 ( divide both sides by 14 )
x = 5
Then
width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth. Day Snow Depth (inches) 1 47 2 29 3 20 4 10 5 7 6 5 7 1.5
Answer:
y=88e^ -0.5x
Step-by-step explanation:
https://keisan.casio.com/exec/system/14059932387562
1) Use this online graphing calculator if you do not have on ^^
2) plug in data and choose "e-Exponential regression"
3) A= 88.4385965
B= -0.532128051
4) Round A to the nearest integer and B to the nearest tenth
5) Use the formula given "y=Ae^ Bx"
6) Leave the variables "e" and "x" as they are
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:
Day Snow Depth
1 47
2 29
3 20
4 10
5 7
6 5
7 1.5
Now,
Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.
Using the quadratic regression feature on the graphing calculator, we obtain the following equation:
Snow Depth = -8x² + 93x - 56
Rounding to the nearest integer, the final equation that best represents the data is:
Snow Depth = -8x² + 93x - 56
Thus,
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
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68 passengers in 34 cars = passengers in 17 cars
Answer:
34
Step-by-step explanation:
68/34 = x/17
68 times 17 = 1156
34x = 1156
x = 34
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg
Answer:
\(\%Change = -40\%\)
Step-by-step explanation:
Given
\(Initial = 6.5kg\)
\(Final = 3.9kg\)
Required
Determine the percentage change --- Missing from the question
This is calculated as
\(\%Change = \frac{Final - Initial}{Initial} * 100\%\)
\(\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%\)
\(\%Change = \frac{-2.6kg}{6.5kg} * 100\%\)
\(\%Change = \frac{-260}{6.5}\%\)
\(\%Change = -40\%\)
A puppy and a kitten are 180 feet apart when they see each other. The puppy can run at a speed of 25 feet per second, while the kitten can run at a speed of 20 feet per second.
How long will it take the kitten to catch up to the puppy if the puppy runs away from the kitten, and the kitten simultaneously starts chasing the puppy?
Answer:
an infinitely long time
Step-by-step explanation:
You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.
NeverThe kitten runs slower than the puppy, so can never catch up to it.
<95141404393>
Plissss helP meee!!!!!
Question 10 of 10
Which is the graph of the parent function f(x) = |x|?
10
X
-10
10
O A.
-10
Answer:
Graph B
Step-by-step explanation:
f(x) = | x |This means that regardless of the x-input you enter, the y-output will always be positive, as indicated by the modulus, which refers to the absolute valueGraph B shows the correct graphWhat is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. -2 ≤ x ≤ 2 B. x ≥ 4 C. x ≤ 0 D. all real numbers Reset
Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.
The correct answer is option D.
To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."
Let's analyze the given function and its graph to understand why the domain is "all real numbers."
The function y = \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.
Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.
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I need help with this math
Answer:
500 and 4.3
Step-by-step explanation:
A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.
5000 × 0.1 = 500
4300 × 0.001 = 4.3
Thus, the answers [in order] are 500 and 4.3
Hope this helps and feel free to ask any questions.
Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a function of time, in minutes.
A graph titled Eli's Trip to the Library. The horizontal axis shows Time (minutes), numbered 0 to 135, and the vertical axis shows Distance from Home (miles) numbered 0 to 5. The line begins at 0, goes up to 4 miles from 30 to 120 minutes, then goes down to 0 miles in 133 minutes.
What could explain what happened when the time was equal to 120 minutes?
Eli arrived at the library.
Eli rode his bicycle home from the library.
Eli rode his bicycle to the store, getting farther away from his house.
Eli continued to study at the library for 13 more minutes.
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is C.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given question is attached below.
As it can be seen that the y-axis shown the distance between Eli's location and his home, since the distance is starting to decrease when the time is 120 seconds, therefore, it can be concluded that Eli rode his bicycle home from the library.
Hence, the correct option is C.
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What sides are similar to this triangle with the side dimensions of 6cm, 12cm, and 15cm?
Answer: Pythagorean triplets.
Step-by-step explanation:
not sure but this is the triangle that helps at all.
Triangle RST has the coordinates R(0 , 2), S(2 , 9), and T(4 , 2). Which of the following sets of points represents a dilation from the origin of triangle RST? A. R'(0 , 2), S'(8 , 9), T'(16 , 2) B. R'(0 , 2), S'(2 , 36), T'(16 , 2) C. R'(4 , 6), S'(6 , 13), T'(8 , 6) D. R'(0 , 8), S'(8 , 36), T'(16, 8)
The set of points that represents a dilation from the origin of triangle RST are: D. R'(0 , 8), S'(8 , 36), T'(16, 8).
What is dilation?In Mathematics, dilation is a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
For the given coordinates of triangle RST, the dilation with a scale factor of 4 from the origin (0, 0) or center of dilation should be calculated as follows:
Point R (0, 2) → Point R' (0 × 4, 2 × 4) = Point R' (0, 8).
Point S (2, 9) → Point S' (2 × 4, 9 × 4) = Point S' (8, 36).
Point T (4, 2) → Point T' (4 × 4, 2 × 4) = Point T' (16, 8).
In conclusion, the other sets of points do not represents a dilation from the origin of triangle RST.
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As of the given condition ordered pair in the option D R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.
Given that,
Coordinates of the triangle, R(0 , 2), S(2 , 9), and T(4 , 2).
The scale factor for the dilation = 4
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
According to the question,
The dilated coordinate is given as,
R' = (0×4 , 2×4) = (0, 8)
S' = (2×4, 9×4) = (8, 36)
T' = (4×4, 2×2) = (16, 8)
Thus, As of the given condition ordered pair in the option D R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.
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solve the inquality 1/2*<10
Answer:
\(\boxed{x<20}\)
Step-by-step explanation:
\(\frac{1}{2} x<10\)
Multiply both sides by 2.
\(x<20\)
Rewrite as a piece wise function y=1/2 |x-6| +4
Answer:
y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}
Step-by-step explanation:
You want y = 1/2|x -6| +4 written as a piecewise function.
DomainsThe absolute value function changes its definition when its argument is negative:
y = |x| ⇒ y = -x for x < 0, and y = x for x ≥ 0
This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.
For x -6 < 0The argument is negated in this domain, so we have ...
y = -1/2(x -6) +4
y = -1/2x +3 +4
y = -1/2x +7
For x -6 ≥ 0The absolute value function is an identity function in this domain:
y = 1/2(x -6) +4
y = 1/2x -3 +4
y = 1/2x +1
Piecewise functionCombining these descriptions into one, we have ...
\(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)
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-5X-3Y=-7 FIND 3 POINTS THAT SOLVE THE EQUATION
Answer:
(0, 7/3), (1, 2/3), (2, -1).
Step-by-step explanation:
Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.
-5x - 3y = -7
Substitute variable.
-5(0) - 3y = -7
Remove the term multiplied by 0.
-3y = -7
Divide by -3.
y = -7/-3
-a/-b = a/b.
y = 7/3
This makes the coordinate (0, 7/3)
-5x - 3y = -7
Substitute variable.
-5(1) - 3y = -7
Multiply.
-5 - 3y = -7
Add 5 to both sides.
-3y = -2
Divide by -3.
y = -2/-3
-a/-b = a/b.
y = 2/3.
This makes the coordinate (1, 2/3)
-5x - 3y = -7
Substitute variable.
-5(2) - 3y = -7
Multiply.
-10 - 3y = -7
Add 10 to both sides.
-3y = 3
Divide by -3.
y = 3/-3
-a/a = -1.
y = -1.
This makes the coordinate (2, -1).
!PLEASE ANSWER THIS!! 90 POINTS!
Alexander earns the same amount of money each month. Alexander's loan payment is 2/25 of his monthly income. Alexander pays a total of $1,680 per year in loan payments.
What is Alexander's monthly income?
Enter your answer in the box.
Hello User,
I'm not sure if this is the correct answer but I try..
Answer : 17.50
Steps:
Alexander total $1,680 per year
load payment is 2/25 of his monthly income (2/25=0.08)
So 1,680 divided by 12 (cause 12 month in a year)= 140
140 divided by 0.08 = 1750
A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping
Write an equation for the cost(y) of shipping
x pounds.
Use it to determine the cost of shipping a
12-pound chair.
Answer:
y = 0.45 × x
y = 0.45 × 12
y = 5.4
Step-by-step explanation:
The chair costs $5 and 40 cents
2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year.
As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).
Confidence interval:
In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.
Given,
According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.
Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.
As per the given question, the value of
Confidence interval = 98%
Number of samples = 4579
Reported numbers = 914
Therefore, the number of failure is calculated as,
=> 4579 - 914
=> 3665
Here the sample proportion is the number of successes divided by the sample size:
=> 941/4579
=> 0.1996
Here for confidence level 1 − α = 0.98,
We have to determine zα / 2 = z0.01 using the normal probability table in the appendix, we get
zα/2 = 2.33
Then the margin of error is calculated as,
E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579
E = 0.0137
Then the boundaries of the confidence interval are then:
p⁻ˣ = 0.1996−0.0137 = 0.1859
p⁺ˣ = 0.1996+0.0137 = 0.2133
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