Answer:
Step-by-step explanation:
To calculate Su-Lo's score on the test, we can multiply her percentage by the total marks for the test.
Su-Lo scored 45% out of 80, so her score can be calculated as follows:
Score = Percentage × Total marks
Score = 45% × 80
To find the score, we need to convert the percentage to a decimal by dividing it by 100:
Score = (45/100) × 80
Score = 0.45 × 80
Score = 36
Therefore, Su-Lo scored 36 marks on the test.
9. PUGS is a parallelogram. The equation of line PU is y = 4x-2. What is the slope of GS?
A circular hot spring has a diameter of 110 meters. Over time, the diameter
of the spring decreases by 3 meters. By how many square meters does the
area of the hot spring decrease? PLEASEE IM BEGGING ANSWER ;(
Answer:
Step-by-step explanation:
Hello!
We want to know the area of the original circle - the now circle.
The original circle's diameter is 110 meters.
To figure out the area you use this formula: [tex]r^2*pi[/tex]
The diameter is 107 meters, so the equation is [tex]55^2[/tex][tex]*\pi[/tex].
The area is about 9503.3 meters.
The next area is the "now circle".
The now circle's diameter is 107 meters.
When you use this formula, you end up with [tex]53.5^2*\pi[/tex].
The area is about 8892 meters.
So it's just basic subtraction!
I'll let you figure out the rest.
:)
P(-1; -1) S(-3; -7) Q(4; 2) R(7; -5) Determine (correct to one decimal place): 3.2 3.1 the acute angle between QR and the x-axis the angle of inclination of PQ POR 3.3 3.4 the angle of inclination of SP 3.5 SPR 3.6 PSR.
What is the meaning of "If dom(f) = [tex]X^{n}[/tex], then f is an n-ary function on X"?
The statement "If dom(f) = Χ, then f is an n-ary functionon X" means that if the domain of the function f is equal to the set X, then f is considered an n-ary function on X.
How is this so?In other words, for each element in X, the function f can take n arguments or inputs to produce aunique output. The term "n-ary" indicates the number of arguments that the function can accept.
A statement in mathematics is a declarative utterance that is either true or untrue but not both. A proposal is anothername for a statement. The main point is that there should be no uncertainty.
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Answer:
The statement "If dom(f) = X, then f is an n-ary function on X" means that if the domain of a function f is equal to the set X, then f is a function that takes n arguments or inputs from the set X, where the value of n depends on the specific function.
Step-by-step explanation:
The statement "If dom(f) = X", then f is an n-ary function on X" means that if the domain of the function f is equal to the set X, then f is an n-ary function on X.
Here's a breakdown of the terms used in the statement:
- dom(f): The domain of a function f refers to the set of all possible input values for the function. It represents the set of values for which the function is defined.
- X: In this context, X represents a set. It could be any set, and it serves as the domain for the function f.
- n-ary function: An n-ary function is a function that takes n arguments or inputs. The value of n represents the number of inputs the function expects.
Therefore, the statement is saying that if the domain of the function f is equal to the set X, then f is an n-ary function on X. It implies that the function f takes n inputs from the set X, where n is determined by the specific function.
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El valor de la asintota vertical
The vertical asymptote of the function are x = ±1/2
Given that we need to determine what is value of the vertical asymptote of the function =
(2x + 1) / (4x²-1)
To find the vertical asymptote of the function f(x) = (2x + 1) / (4x² - 1), we need to determine the values of x for which the denominator becomes zero.
This is because division by zero is undefined, and the function may have vertical asymptotes at those points.
The denominator of the function is 4x² - 1.
To find the values of x that make the denominator zero, we can set it equal to zero and solve for x:
4x² - 1 = 0
Adding 1 to both sides:
4x² = 1
Dividing both sides by 4:
x² = 1/4
Taking the square root of both sides:
x = ±√(1/4)
Simplifying further, we get:
x = ±1/2
Therefore, the values of x that make the denominator zero are x = -1/2 and x = 1/2. These are the vertical asymptotes of the function.
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Translation =
What is value of the vertical asymptote of the function =
(2x + 1) / (4x²-1)
how much time will it take to get to New Orleans by boat from Houston, Texas
Tom's estimated travel time is approximately 13.6 hours.
Based on the given scenario, Tom is traveling a distance of approximately 340 nautical miles from Houston to New Orleans by boat. He will be using a medium-sized recreational boat with an average speed of 25 miles per hour.
To estimate the time it will take for his journey, we can use the formula:
Time = Distance / Speed
Substituting the values, we have:
Time = 340 miles / 25 miles per hour
Calculating the division, we find that Tom's estimated travel time is approximately 13.6 hours.
However, it is important to note that this estimate assumes a continuous journey without considering other factors that may affect the travel time. Various elements can impact the actual duration, such as weather conditions, water currents, navigational challenges, refueling stops, and any necessary rest breaks.
Additionally, it is essential for Tom to adhere to all boating regulations and safety guidelines to ensure a smooth and secure voyage.
To obtain a more accurate estimate, Tom should consult local boating authorities, marinas, or experienced sailors familiar with the route.
They can provide valuable insights into the specific conditions and offer guidance on potential challenges that may affect the travel time. Planning for additional buffer time is also recommended to account for unforeseen circumstances and to prioritize safety during the journey.
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The complete question may be like:
Tom plans to travel by boat from Houston, Texas, to New Orleans, Louisiana. He wants to estimate the time it will take for his journey. The distance between the two cities by water is approximately 340 nautical miles. Tom will be traveling on a medium-sized recreational boat that has an average speed of 25 miles per hour. Considering normal weather conditions and assuming a continuous journey, how long will it take Tom to reach New Orleans?
Please provide an answer based on this scenario, taking into account the distance, average speed, and any other relevant factors.
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer: $1.50 for every 1 pound
Step-by-step explanation:
If 2 pounds equal to $3.00 divide $3.00 by 2 and you end up with $1.50, you can also keep adding $1.50 to get the other prices.
Write the quadratic equation in standard form that corresponds to the graph shown below.
The quadratic equation in standard form that corresponds to the given graph is [tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
To determine the quadratic equation in standard form that corresponds to the given graph, we need to identify the key features of the parabola. From the graph, we can see that the parabola opens upwards and intersects the y-axis at the point (0, c). We can also observe that the vertex of the parabola lies at the point (h, k).
The standard form of a quadratic equation is given as follows:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where (h, k) represents the coordinates of the vertex, and 'a' is a constant that determines the shape and direction of the parabola.
Looking at the graph, we can determine the vertex by identifying the x-coordinate where the parabola reaches its highest or lowest point. Let's assume the vertex is located at the point (h, k).
From the graph, it appears that the vertex lies at (-2, 4). Therefore, we have h = -2 and k = 4.
Now we can rewrite the equation as:
[tex]f(x) = a(x + 2)^2 + 4[/tex]
Next, we need to determine the value of 'a'. To do this, we can use another point on the graph. Let's consider the point (1, 0).
Plugging in the coordinates (1, 0) into the equation, we get:
[tex]0 = a(1 + 2)^2 + 4[/tex]
0 = 9a + 4
9a = -4
a = -4/9
Now we have the value of 'a'. Substituting it back into the equation, we get:
[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
Thus, the quadratic equation in standard form that corresponds to the given graph is:
[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
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Find the missing angle and side measures of Delta*ABC , given that
m angle A = 50 deg , m angle C = 90 deg , and CB = 16
The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.
To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.
Given:
∠A = 50°
∠C = 90°
CB = 16
We can start by finding the measure of ∠B:
∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)
50° + ∠B + 90° = 180°
∠B + 140° = 180°
∠B = 180° - 140°
∠B = 40°
Now, using Sine law
CB/ sin A = AB / sin C
16 / sin 50 = AB / sin 90
16 / 0.766044 = AB
AB = 12.25
Again 12.25 = AC/ sin B
12.25 = AC / sin 40
AC = 19.068
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The function f(x)=√x is shown on the graph.
4
3+
2+
--5-4-3-2-1₁
-2+
-3+
4
1 2 3 4
Which statement is correct?
O The range of the graph is all real numbers less than
or equal to 0.
O The domain of the graph is all real numbers less
than or equal to 0.
O The domain and range of the graph are the same.
O The range of the graph is all real numbers.
Answer:
The domain and range of the graph are the same
Step-by-step explanation:
The domain and range of the graph are both [tex][0,\infty)[/tex] because you cannot take the square root of a negative number to produce a real result, and you cannot square a real number to get a negative number.
9. Determine the area of the figure below.
5.5 cm
8 cm
12 cm
6.8 cm
" Sum of area of Trapezoid and Semicircle "
Lets calculate the area of Trapezoid first ~its " 1/2 times (sum of parallel sides) times (perpendicular distance between them) "
[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times ( 8+ 12) \times (5.5)[/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times (20) \times (5.5)[/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: 10 \times 5.5[/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 \: \: cm {}^{2} [/tex]
Next, area of Semicircle ~[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{ \pi {r}^{2} }{2} [/tex]
[tex] \textsf{[ diameter (d) = 8 cm, radius (r) = d/2 = 8/2 = 4 cm ]} [/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{3.14 \times ( {4)}^{2} }{2}[/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: 1.57 \times 16[/tex]
[tex]\qquad\displaystyle \tt \dashrightarrow \: 25.12 \: \: cm {}^{2} [/tex]
Now, Area of the composite figure :- Area of Trapezoid + Area of Semicircle
[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 + 25.12 = 80.12 \: cm²[/tex]
Suppose that the volume, V,
of a right circular cylinder is
1280 cubic centimeters and
the radius of its base is
8 centimeters. What is the
height of the cylinder?
D
Answer:
[tex]\huge\boxed{\sf h \approx 6.4\ cm}[/tex]
Step-by-step explanation:
Given data:Volume = v = 1280 cm³
Radius = r = 8 cm
π = 3.14
Required:Height = h = ?
Formula:V = πr²h
Solution:Put the given data in the above formula.
Finding height of cylinder.
1280 = (3.14)(8)²(h)
1280 = (3.14)(64)(h)
1280 = 200.96 (h)
Divide both sides by 200.961280 / 200.86 = h
h ≈ 6.4 cm[tex]\rule[225]{225}{2}[/tex]
Change 0.12 to a ratio.
Answer:
3:25
Step-by-step explanation:
The photo shows how it's solved.
Answer: 3:25
Step-by-step explanation:
Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator
0.12 = 0.12/1
Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100
------------ = 12/100
1 x 100
Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)
12 ÷ 4
--------- = 3/25
100 ÷ 4
Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:
3
25 = 3:25
Choose the kind(s) of symmetry in the 2D number. (Select all that apply.)
plane
point
line
none
Answer:
plane
point
line
Step-by-step explanation:
Based on the options provided, the kinds of symmetry in a 2D number can be:
Plane symmetry: This refers to a symmetry where a figure can be divided into two identical parts by a plane. This symmetry is also known as reflectional symmetry.Point symmetry: This refers to a symmetry where a figure can be rotated 180 degrees around a central point to produce the same figure. This symmetry is also known as rotational symmetry.Line symmetry: This refers to a symmetry where a figure can be divided into two identical parts by a straight line. This symmetry is also known as bilateral symmetry.Therefore, the possible kinds of symmetry in a 2D number can be
plane symmetry,
point symmetry, or
line symmetry.
the value stock in 1940 is $1.25. it’s value grows by 7% each year after 1940. write an equation representing the value of the stock V(t), in dollars, t years after 1940
This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual Growth rate V(t) = $1.25 * (1 + 0.07)^t.
The value of the stock, V(t), in dollars, t years after 1940, we can use an exponential growth equation since the stock's value grows by 7% each year after 1940.
formulate the equation step by step:
1. We know that the initial value of the stock in 1940 is $1.25. This initial value serves as the starting point for our equation.
2.We are given that the value of the stock grows by 7% each year. This means that for every year that passes, the stock's value increases by 7% of its previous value.
3. In mathematical terms, if V(0) represents the initial value in 1940 ($1.25), then the value of the stock after t years can be represented as:
V(t) = V(0) * (1 + r)^t,
where r is the growth rate expressed as a decimal (in this case, 7% = 0.07).
4. Plugging in the given values, our equation becomes:
V(t) = $1.25 * (1 + 0.07)^t.
This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual growth rate.
For example, if we wanted to find the value of the stock 10 years after 1940, we would substitute t = 10 into the equation:
V(10) = $1.25 * (1 + 0.07)^10.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Angle C of the triangle measures 68°.
Side AC = 22.90
Side BC = 14.26
Given triangle,
∠A = 37°
∠B = 75°
AB = 22
Now,
Sum of all the interior angles of triangle is 180.
So,
∠A + ∠B +∠C = 180°
37° + 75° + ∠C = 180°
∠C = 68°
Now,
According to sine rule,
Ratio of side length to the sine of the opposite angle is equal.
Thus,
a/SinA = b/SinB = c/SinC
Let,
BC = a
AC = b
AB = c
So,
a/Sin37 = b/Sin75 = c/Sin68
a/0.601 = b/0.965 = 22/0.927
Solving,
BC = a = 14.26
AC = b = 22.90
Thus with the properties of triangle side length and angles can be calculated.
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Jckson plans to make an open box with the dimensions shown as a prop for the school play. the dimensions are 5 3.75 and 2.5
Based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.
To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.
If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.
Therefore, based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
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(-20,13) (16,15)
Can some find the slop for this question
Factor each expressions using the greatest common factor.
1:3x + 6
2:4x-8
4:2x-4
7:9x + 18
5: 6x + 12
8: 8x - 16
3: 5x + 10
6:7x-14
in the histogram above I'm which interval does most of the data lie
Answer: The Mode
Step-by-step explanation:
The mode is the data value that occurs the most often in a data set
How mant times does 9 go into 18
Answer:
2 times, with a remainder of 0.
Step-by-step explanation:
If you had 2 friends and you had to divide 18 between both you would get 9. each with no left over
the region in the first quadrant enclosed by the curves y=0, x=2, x=5 and y=1/sqrt(1+x) is rotated about the x-axis. The volume of the solid generated is A. πIn(2) B. πIn(3/4) C. πIn(10) D. πIn(5) E. πIn(4/3)
The volume of the solid generated by rotating the region enclosed by the curves y=0, x=2, x=5, and [tex]y=1/\sqrt(1+x)[/tex] about the x-axis is πln(2),
(option A).
To find the volume of the solid generated by rotating the region enclosed by the curves y=0, x=2, x=5, and[tex]y=1/\sqrt(1+x)[/tex] about the x-axis, we need to use the formula for the volume of a solid of revolution.
The formula is ∫[a,b] [tex]π(f(x))^2dx[/tex], where a and b are the limits of integration and f(x) is the function that describes the distance between the axis of revolution and the curve being rotated.
In this case, we need to use the function f(x) = 1/sqrt(1+x), since this function describes the distance between the x-axis and the curve being rotated. The limits of integration are from x=2 to x=5, since these are the values of x that define the region being rotated.
Using the formula, we can set up the integral as follows:
[tex]∫[2,5] π(1/\sqrt(1+x))^2dx[/tex]
= π∫[2,5] 1/(1+x) dx
= π[ln(1+x)]|[2,5]
= π[ln(6) - ln(3)]
= πln(2) (option-A)
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Steve is going shopping. This matrix shows his shopping list:
How much will Steve spend if he shops at S2?
Round to the nearest cent
$27.71 is the amount Steve spend if he shops at S2.
Given that Steve is going shopping
The shopping list of steve has 2 cereal, 4 soups , 2 soda, 1 milk and 4 candy.
We have to find the cost spend by Steve when he purchase in shop 2, S2.
In S2, the cereal cost 2.15, soup cost 2.75, soda cost is 3.00, Milk cost 3.25 and candy costs 0.79.
Total cost = 2×2.15 + 4×2.75+2×3+1×3.25+4×0.79
=4.3+11+6+3.25+3.16
=27.71
Hence, $27.71 is the amount Steve spend if he shops at S2.
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A. How many combinations of the 5 white balls and 1 red ball are possible?
The number of combinations of the 5 white balls and 1 red ball are possible is 1.
We are given that;
White balls=5
Red ball=1
Now,
To find the number of combinations of 5 white balls and 1 red ball, we can use the combinations formula12:
[tex]nCr = n! / (r! (n-r)!)[/tex]
where n is the total number of objects, r is the number of objects to be selected, and ! is the factorial operator.
we can plug in these values into the formula:
[tex]6C6 = 6! / (6! (6-6)!) 6C6 = 6! / (6! 0!) 6C6 = 1 / (1 1) 6C6 = 1[/tex]
So, there is only one combination of 5 white balls and 1 red ball. This makes sense because the order of selection does not matter in a combination. No matter how we arrange the balls, we will always have the same group of 5 white balls and 1 red ball.
Therefore, by combinations and permutations the answer will be 1.
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Help with this question pls?
The new coordinates of the triangle after reflecting in the x-axis are:
(3, -1), (3, -3), and (-2, -3).
We have,
The triangle has the coordinates:
(3, 1), (3, 3), and (-2, 3)
Now,
To reflect a point or a shape in the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same.
Let's reflect each of the three given points in the x-axis:
Point (3, 1):
The reflected point in the x-axis will have the same x-coordinate of 3 but with the y-coordinate sign flipped:
Reflected point: (3, -1)
Point (3, 3):
The reflected point in the x-axis will have the same x-coordinate of 3 but with the y-coordinate sign flipped:
Reflected point: (3, -3)
Point (-2, 3):
The reflected point in the x-axis will have the same x-coordinate of -2 but with the y-coordinate sign flipped:
Reflected point: (-2, -3)
Therefore,
The new coordinates of the triangle after reflecting in the x-axis are:
(3, -1), (3, -3), and (-2, -3).
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The value of x in the given right triangle HJK include the following: C. 10.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Hypotenuse, x = 5 × 2
Hypotenuse, x = 10.
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Inputs: People at concession stand Outputs: Cost of their order
this relation a function?
it a constant function?
it a 1-1 function?
People at the concession stand as input Cost of their order's output.
(1) The relation in question is a function.
(II) This function is not constant. (Each category of concession has a different order cost.)
Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)
A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.
The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.
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What is the value of x in the systems:
5x + 2y = 3
2x + 3y = -1
Answer: The value of x = 1 and y = -1
Step-by Step Explanation:
We have 5x + 2y = 3 -----(i)
and 2x + 3y = -1 -----(ii)
By substitution method,
from (i), x = 3-2y/5
Putting the value of x in equation (ii),
we get, 2(3-2y/5) + 3y = -1
6 - 4y/5 + 3y =-1
6 - 4y + 15y = -5
6 - 11y = -5
-11y = -5 - 6
-11y = -11
y = -1
And, x = 3-2(-1)/5
x = 3+2/5
x = 1
Therefore, x=1 and y=−1
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
area of A = πr² = π7² = 153.9 m²
area of B = πr² = π9² = 254.5 m²
These shapes are similar.
Find X.
X
9
5
27
15
21
Answer:
15
Step-by-step explanation: