In a case whereby the function is y = -5x + 4, the range of the function of the domain is {14, 4, -21}
How can the range be calculated?A function's range serves as one which encompass conceivable values for y. Y = f(x) is the formula to determine a function's range.
We were told to get the range of the function, which implies that we will be plugging each value in the domain into the given function so that we can observe the output (y-value) .
When x = -2:
y = -5(-2) + 4 = 1
When x = 0:
y = -5(0) + 4 = 4
When x = 5:
y = -5(5) + 4 = -21
So the range of the function is {14, 4, -21}.Learn more about function at:
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Which is a defining attribute of an isosceles triangle?
Two sides are congruent to each other. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other.
How to explain the triangleIn an isosceles triangle, two sides have the same length, making them congruent. These two sides are often referred to as the "legs" of the triangle.
The angles opposite the congruent sides in an isosceles triangle are also congruent. These angles are typically referred to as the "base angles."
The remaining side, called the "base," is not congruent to the legs of the triangle. The base is usually the side that connects the two base angles.
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Please help me guys!
Answer:
B
Step-by-step explanation:
Please say thank you
What is the area of a water bottle if the base is 6cm
The quantity of the water in the water bottle is 648ml
How did we get the value?Find the area,
Area of the bottle = 6 x 6
= 36cm²
To determine the quantity of the water in the bottle, multiply the area by the level of the water in the bottle:
area of the bottle x level of the water
= 36 x 18
= 648cm
When you convert it to ml, it becomes 648ml
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The complete question goes thus:
A water bottle has a square base of side 6 cm . If the bottle is filled up to a height of 18 cm .How much water is in the water bottle ?
Triangle RST
was dilated with the origin as the center of dilation to create triangle R'S'T'
. The triangle was dilated using a scale factor of 34
.
The lengths of the sides of triangle RST
are given.
Enter the lengths of the sides of triangle R'S'T'
below.
(Decimal values may be used.)
The lengths of the sides of triangle R'S'T'
R' = (-3.75, 2.25), S' = (2.25, 3) and T' = (2.25, -4.5).
We have the coordinates of triangle RST are given as
R (-5, 3), S(3, 4) and T(3, -6)
and, The scale factor is given as: 3/4
Now, The rule of dilation is
(x, y) = 3/4 (x, y)
Then, we can write
R' = (-5 x 3/4, 3 x 3/4)
R' = (-3.75, 2.25)
S' = (3 x 3/4, 4 x 3/4)
S' = (2.25, 3)
and, T' = (3x 3/4, -6x 3/4)
T' = (2.25, -4.5)
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The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b? A. 4, 1 B. -19, 40 C. 20, 1 D. 30, 9 E. -8, -29 Reset
Calculator A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 260°? Use 3.14 for pi. Enter your answer, rounded to the nearest tenth in the box. ft² 3 4 5 6
The area of the sector is 36.6 ft².
We have,
To calculate the area of the sector, we need to find the fraction of the entire circle it represents and then multiply it by the area of the entire circle.
The central angle of 260° represents (260/360) or 13/18 of the entire circle.
The area of the entire circle with a radius of 4 ft can be calculated using the formula:
A = πr², where π is approximately 3.14.
Substituting the values,
The area of the entire circle is A = 3.14 x (4 ft)² = 3.14 x 16 ft² = 50.24 ft².
To find the area of the sector, we multiply the area of the entire circle by the fraction represented by the central angle:
Area of sector = (13/18) x 50.24 ft² = 36.64 ft².
Rounded to the nearest tenth
Thus,
The area of the sector is 36.6 ft².
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100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!
The exact value of the given expression of tan 15 ° can be found to be 1 / √3.
How to find the exact value of tangent ?When given a tangent degree, you can find the exact value by relating it to the Sine and Cosine values as shown below :
tan ( x ) = sin ( x ) / cos ( x )
Given that x is 15 degrees, we have :
tan ( 15 ) = sin ( 15 ) / cos ( 15 )
The values of sine and cosine :
sin(30) = 1/2
cos(30) = √3/2
This means the relation is:
tan ( 15 ) = sin ( 15 ) / cos ( 15)
= ( 1 / 2 ) / (√3 / 2 )
= 1 / √3
= 0.2679
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The width of a rectangle measures ( 2.4x + 3.5 ) centimeters, and its length measures ( 1.2x + 6.8 ) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The perimeter of the rectangle can be shown by Option C.
Perimeter of a rectangleThe perimeter of a rectangle is the total distance around its outer boundary. To calculate the perimeter of a rectangle, you need to know the lengths of its two adjacent sides, typically referred to as length (l) and width (w).
We know that the perimeter can be given by;
P = 2(l + b)
P = 2[(2.4x + 3.5) + (1.2x + 6.8)]
P = 2[2.4x + 3.5 + 1.2x + 6.8]
P = 2[2.4x + 1.2x + 3.5 + 6.8]
P = 2[3.6x + 10.3]
P = 7.2x + 20.6
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the probability that a biased coin lands on heads is 2/5. the coin is spun twice. work out the probability of two heads
The probability of two heads when a biased coin is spun twice is 0.16.
The first time you flip the coin, the probability of seeing a heads is 2/5. The second time you flip the coin, the probability of seeing a heads is still 2/5 because the probability of a biased coin has not changed over the course of the two flips.
Since each flip is an independent event, you multiply the probabilities together.
The probability of two heads when a biased coin is flipped twice is (2/5) × (2/5) = 4/25 = 0.16.
Therefore, the probability of two heads when a biased coin is spun twice is 0.16.
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Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
What is the sine of Ø?
The value of sin of θ given in the unit circle using the coordinates is -√13/7.
Given a unit circle.
We know that any point on the unit circle can be represented in terms of the angle that the point makes with the positive X axis as,
x = cos θ and y= sin θ
Here θ is the angle formed by the positive X axis with the point.
Here also given a unit circle.
So using the coordinates, we get
cos (θ) = -6/7
sin (θ) = -√13/7
Hence the value of sin of θ is -√13/7.
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HELPSSS PLEAS BTW 7TH GRADE MATH
The surface area for each rectangular prism is given as follows:
3) S = 195.5 mm².
4) S = 158.1 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
Hence, for item 3, the surface area is given as follows:
S = 2 x (8.2 x 5 + 8.2 x 4.3 + 5 x 4.3)
S = 195.5 mm².
For item 4, the surface area is given as follows:
S = 2 x (4.1 x 3 + 4.1 x 9.4 + 3 x 9.4)
S = 158.1 m².
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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
rectangle with a length of x plus 15 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 5 and width of 1
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 20)(x + 11)
A = (x + 15)(x + 10) + 5
A = (x + 15)(x + 10) − 5
A = (x + 9)(x + 10)
The equation A = (x + 15)(x + 10) − 5 represents the area of the patio that will be painted, where A is the total area.
Option C is the correct answer.
We have,
The equation A = (x + 15)(x + 10) − 5 represents the area of the patio that will be painted.
The dimensions of the rectangular patio are given as (x + 15) for the length and (x + 10) for the width.
These values account for the extra length and width added to the original dimensions (x) to include the bench area.
To determine the total area of the patio that will be painted, we calculate the product of the length and width, which is (x + 15)(x + 10).
However, we need to subtract the area of the bench, which has a length of 5 and a width of 1.
Hence, we subtract 5 from the product to exclude the bench area.
Therefore,
The equation A = (x + 15)(x + 10) − 5 represents the area of the patio that will be painted, where A is the total area.
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Answer:
C
Step-by-step explanation:
i took the test :)
have a great day.!
Find the interest.
. 750$, 6.5%, 2years
Answer:
simple interest=$97.50.
compound interest= $100.668
Step-by-step explanation:
Given:
Principal (P) = $750
Rate (R) = 6.5% (in decimal form, 0.065)
Time (T) = 2 years
Simple Interest = Principal*Rate*Time
Using the formula, the simple interest is calculated as follows:
Simple Interest = $750*0.065*2 = $97.50
Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.
Again:
Compound Interest = Principal*(1 + Rate)^(Time)-Principal
Using the same values as above, the compound interest can be calculated as follows:
Compound Interest = $750*(1+0.065)^(2)-$750
= $750*1.065^2 -$750
= $750 × 1.134225 - $750
= $850.66875-$750
= $100.668
Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668
A and b are two cities Measure he bearing of B from A
The bearing of B from A, given the locations of cities A and B can be found to be 30 degrees.
The bearing of A from B, can also be found to be 210 degrees.
How to find the bearing ?First thing to do is to draw a vertical line from Point A and Point B, upwards. This line would signify the North direction which is needed to find the bearing.
Now, draw a line to B from A. From that line, draw an angle from the North Line of A to the line that joins Cities A and B.
Once this line is drawn, check the angle that forms and you will find that it is 30 degrees. This makes the bearing of B from A, to be 030 degrees.
The bearing from B of A would be 210 degrees by the same method.
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The full question is:
a) Measure the bearing of B from A.
b) Measure the bearing of A from B.
pls help me for brainleist
Answer:
[tex]\huge\boxed{\sf x = 100\°}[/tex]
Step-by-step explanation:
Statement:The measure of an exterior angle is equal to the sum of the non-adjacent interior angles.Solution:So,
x = 61 + 39
x = 100°[tex]\rule[225]{225}{2}[/tex]
Is EFGH below a rectangle? Explain.
(Picture recorded below)
Choose the correct answer below.
Yes, because EFGH is a parallelogram and its diagonals are congruent.
No, because EFGH is a parallelogram and its diagonals are congruent.
No, because EFGH is a parallelogram but its diagonals are not congruent.
Yes, because EFGH is a parallelogram but its diagonals are not congruent.
No, Because EFGH is not a parallelogram.
Yes, because EFGH is a parallelogram and its diagonals are congruent.
How to prove the statementTo prove the statement, we have to know the properties of a rectangle.
The properties of a rectangle are listed thus;
A rectangle is a quadrilateralThe opposite sides are parallel and equal to each otherEach interior angle is equal to 90 degreesThe sum of all the interior angles is equal to 360 degreesThe diagonals bisect each otherBoth the diagonals have the same lengthA rectangle with side lengths a and b has the perimeter as 2a+2b unitsLearn more about rectangles at: https://brainly.com/question/25292087
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ill give 40 points if someone answers this quickly and correctly.
4 Which graph represents the system of linear inequalities given below?
y ≤ x-3
y > -x + 2
Answer: on the line y = x-3 and above the line y = -x + 2.
Step-by-step explanation:
The first inequality, y ≤ x-3, represents a shaded region below or on the line y = x-3. This line has a slope of 1 and y-intercept of -3. It is a straight line that slants upward from left to right.
The second inequality, y > -x + 2, represents a shaded region above the line y = -x + 2. This line has a slope of -1 and y-intercept of 2. It is a straight line that slants downward from left to right.
To determine which graph represents the system of linear inequalities, we need to look for a graph that shows the shaded region below or on the line y = x-3 and above the line y = -x + 2.
? Question
The cube of m varies inversely as the square root of n.
Which two equations model this relationship?
The two equations that models the inverse proportion relationship are:
m³ = k/√n
m³√n = k
How to identify Inverse proportions?Inverse proportion is defined as a type of proportionality relationship. Thus, when two quantities are said to be inversely proportional, then it means that as one quantity increases, the other decreases.
We are told that the cube of m varies inversely as the square root of n. Thus:
m³ ∝ 1/√n
If k is the constant of proportionality , then we say that:
m³ = k/√n
We can also cross multiply to get:
m³√n = k
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A number divided by 26 has a quotient of 5 with 5 as a remainder. What is the number?
Using division operation, the nmber that is divided by 26 with a quotient of 5 and a remainder of 5 is 135.
How the number is determined:The determination of the unknown in this scenario can be completed using the division operation.
The division operation involves the following parts:
Dividend (the number being divided)Divisor (the number dividing the dividend)Quotient (the result of the division operation)Remainder (the difference that after an even division).Let the dividend = n
The divisor = 26
The quotient of the division operation = 5
The remainder after the division operation = 5
n = 26 x 5 + 5
n = 130 + 5
n = 135
Thus, the number or dividend in this division operation is 135.
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can the width be zero? explain.
Answer:
no
Step-by-step explanation:
(I'll assume you're talking about a rectangle)
If the width is zero, the shape would be a line. Therefore, the width cannot be zero.
Feel free to tell me if I did anything wrong! :)
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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1.What is the equation of a circle with center (-2, 2) and radius 3?
Answer:
(x + 2)² + (y - 2)² = 3²
Step-by-step explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
So, we have (x - -2)² + (y - 2)² = 3²
subtract a minus means we add.
(x + 2)² + (y - 2)² = 3²
can you find the slope
The slope of the points in this table is equal to -3.
How to calculate the slope based on the table?In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided in the table, we can logically deduce the following data points on the line:
Points on x-axis = (0, 1).Points on y-axis = (7, 4).By substituting the given points into the slope formula, we have the following;
Slope, m = (4 - 7)/(1 - 0)
Slope, m = -3/1
Slope, m = -3.
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PLEASE HELP 40 PTS!!!
___________________________answer individually
___________________________
2. This scatterplot shows the relationship between a player's level in a game and the point total in the level. Answer the questions about the scatterplot.
a. The best model for these data would be (linear / exponential / quadratic).
b. This table shows the values from the scatterplot. Find the regression equation for the model that you
chose in Part a. Round your answer to the nearest hundredth.
c. using the equation that you found, in part B, predict the point total in the 10th level. Round your answer to the nearest integer
The solution to the given scatter plot is:
a) Exponential
b) y = 587.52x
c) 894
How to Interpret the Scatter Plot?Scatter plots are basically al type of data visualization that shows us the relationships that exists between variables.
a) The best model for the given scatter plot is definitely exponential because of the nature of the points and curve.
b) The regression equation for the model has the general formula:
Y = a + bx
Thus, from the given scatter plot, we can say that the equation is:
y = 587.52x
c) Using the equation that you found, in part B, using an online regression equation calculator, we can say that the prediction of the point total in the 10th level is: 894
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What statements are true about isosceles triangles?
Answer: About two angles are congruent
Step-by-step explanation:
How to use desmos to solve the system
The graph of the system of equations on the image at the end, there we can see that the solution is (110, 95).
How to solve the system of equations graphically?Here we want to solve the given system of equations:
2x + 3y = 505
5x + 3y = 835
Using a graphing tool.
To solve the system graphically we just need to graph both equations on the same coordinate axis and find the point where the graphs intercept.
On the image at the end, you can see the graph of the system of equations. On that image we can see that the solution of the system of equations is (110, 95).
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Select the correct answer.
Each statement describes a transformation of the graph of f(x)=√√. Which statement correctly describes the graph of y=f(x-7)+3?
OA. It is the graph of f translated 3 units up and 7 units to the left.
OB.
It is the graph of f translated 7 units down and 3 units to the right.
It is the graph of f translated 7 units up and 3 units to the right.
D.
It is the graph of f translated 3 units up and 7 units to the right.
O C.
The transformation is described by option D.
It is the graph of f translated 3 units up and 7 units to the right.
Which statement correctly describes the graph of y=f(x-7)+3?The following transformation:
y = y=f(x-7)+3
Is a translation.
Remember that a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is up.
if N < 0, the translation is down.
Remember that a horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left.
if N < 0, the translation is to the right.
Then:
y = f(x - 7) + 3
Is a translation of 7 units to the right and 3 units up.
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Classify the triangle by its sides and angles. Explain your reasoning.
The triangle that has been shown is a scalene obtuse triangle.
What is a scalene obtuse angle triangle?
A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.
A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.
Thus we have a scalene obtuse triangle.
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A bussiness woman drives 192 km at 96km/h to meet her friend and then drives home 64 km/h. Draw a travel graph showing journey.
The graph first segment will represents the journey to her friend's place and would connect the points (0,0) and (2,192).
The graph second segment represents the journey back home and would connect the points (2,192) and (5,384).
What will the Travel Graph Look Like?We are given that:
The woman drives 192 km at 96 km/h to meet her friend.She then drives the same distance back home, but at a slower speed of 64 km/h.We will calculate the time it takes for each leg of the journey which is:
= Distance/Speed
= 192 km / 96 km/h
= 2 hours
The time taken to drive back home:
= Distance/Speed
= 192 km / 64 km/h
= 3 hours.
To create the travel graph, we'll put time on the x-axis and distance on the y-axis. The journey would be a straight line from the origin (0,0) to the point (2,192) since she covers 192 km in 2 hours.
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