Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y) → (x + 2, y + 1).
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:
(x, y) → (x + 2, y + 1)
(1, 4) → (1 + 2, 4 + 1) = (3, 5).
(3, 5) → (3 + 2, 5 + 1) = (5, 6).
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Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 3 years at 5% compounded monthly.
The present value of $600 is $___
(Round to the nearest cent as needed.)
Answer:
$523.54
Step-by-step explanation:
To find the present value of $600 after 3 years at 5% compounded monthly, we can use the present value formula which is PV = FV / (1 + r/n)^(n*t), where PV is the present value, FV is the future value, r is the annual interest rate, n is the number of times compounded per year and t is the number of years
In this case, we have FV = $600, r = 0.05 (5%), n = 12 (monthly compounding), and t = 3 years. Plugging these values into the formula gives us:
PV = $600 / (1 + 0.05/12)^(12*3) = $523.54
Therefore, the present value of $600 after 3 years at 5% compounded monthly is $523.54. I hope that helps!
HELPP PLS need help to find answer
Area of the shape is 70 units²
We have,
The given shape is a trapezium.
The area of the trapezium.
= 1/2 x height x (sum of the [parallel sides)
Now,
Height = 7
Parallel sides = 10 and 10
So,
Area of the shape.
= 1/2 x 7 x (10 + 10)
= 1/2 x 7 x 20
= 7 x 10
= 70 units²
Thus,
The area of the shape is 70 units²
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a factory made about 90,000 thousands toys last year. what is the greatest number of toys the factory could have made last year?
The greatest number of toys the factory could have made last year is 163,787,585 toys. This is calculated by multiplying the daily production rate of 492,827 toys by the number of days in a year (365), and then dividing the total by 1,000 to convert it to thousands.
90,000 thousands toys is equivalent to 90,000,000 toys (since 1 thousand = 1000).
To find the greatest number of toys the factory could have made last year, we can multiply the number of toys made per day by the number of days in a year.
Since there are 365 days in a year, the factory could have made
492,827 toys/day x 365 days = 179,847,755 toys
However, since the question asks for the greatest number of toys the factory could have made, we need to take into account any possible missed production days (e.g. holidays, maintenance, etc.).
Assuming the factory operated at full capacity for 90% of the year, the greatest number of toys they could have made would be fin my multiplying,
492,827 toys/day x 365 days x 0.9 = 163,787,584.5 or approximately 163,787,585 toys.
Therefore, the greatest number of toys the factory could have made last year is 163,787,585 toys.
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--The given question is incomplete, the complete question is given
"A toy factory makes 492,827 toys each day. a factory made about 90,000 thousands toys last year. what is the greatest number of toys the factory could have made last year?'--
Elizabeth can make 24 beaded bracelets in 18 minutes. At that rate, approximately how
many beaded bracelets will she be able to make in 21 minutes?
A. 18
B. 21
C. 28
D. 16
Answer: C (28)
Step-by-step explanation:
Use probabilities:
24/18 = x/21
Cross multiply: 18x=24*21
18x = 504
x=28
*Urgent*
An equation is shown.
y=2(1-3/4)to the X power
a. Use the coordinate grid to graph the equation.
A graph of this exponential equation [tex]y = 2(1 -\frac{3}{4} )^x[/tex] is shown in the image attached below.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, base, or constant.In this scenario and exercise, we would use an online graphing calculator to plot the above exponential function [tex]y = 2(1 -\frac{3}{4} )^x[/tex] as shown in the graph attached below.
In conclusion, we can reasonably infer and logically deduce that the graph of this exponential equation represent an exponential decay.
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1. Escribe tu edad , luego divide tu edad por 8 y enuncia los conjuntos a los que pertenece el resultado.
Age divided by 8: 3.125
The result belongs to the sets of real numbers and rational numbers.
How to solveGiven the following data:
Age: 25
Age divided by 8: 3.125
The result belongs to the sets of real numbers and rational numbers.
What is a Real Number?A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context means that values in pairs may differ by arbitrary tiny amounts.
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The question in English is:
Write your age , then divide your age by 8 and state the sets to which the result belongs.
Which statement about the graph of y=0.25⋅2x is true? Responses The graph decreases from left to right. The graph decreases from left to right. The coordinates of the y-intercept are (0, 14). The coordinates of the , y, -intercept are , open parentheses 0 comma space 1 over 4 close parentheses, . The graph has a vertical asymptote. The graph has a vertical asymptote. The coordinates of the x-intercept are (2, 0) .
The statement about the graph of y = 0.25⋅2^x that is true is:
The coordinates of the y-intercept are (0, 1/4).
We have,
The statement that is true about the graph of y = 0.25(2^x).
The coordinates of the y-intercept are (0, 1/4).
We can see this by setting x = 0 in the equation,
which gives,
y = 0.25 x 2^0 = 0.25 x 1 = 1/4.
Therefore, the y-intercept is at (0, 1/4).
The other statements are false:
The graph increases from left to right, since 2^x increases as x increases.
The coordinates of the y-intercept are not (0, 14), but rather (0, 1/4).
There is no vertical asymptote in the graph.
The x-intercept occurs where y = 0, which gives 0.25 * 2^x = 0. Solving for x gives x = -2.
Therefore, the coordinates of the x-intercept are (-2, 0), not (2, 0).
Thus,
The statement about the graph of y = 0.25⋅2^x that is true is:
The coordinates of the y-intercept are (0, 1/4).
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are these right? i’m so confused
Yep, all of them are correct. Great job!
Offering 50 points and will mark brainliest, please use the shratey method and explain all fo your steps and work!!! Thank you so much!!!!!
Use (SH)RATEY to graph the given rational fn.
Q(x)=(x^2+3x)/(x^2-2x-3)
The graph of the rational function is attached accordingly.
What is a rational function?A rational function in mathematics is any function that can be described by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials. Polynomial coefficients do not have to be rational numbers; they might be in any field K.
A rational function is defined as a polynomial divided by a polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all integers except the denominator's zeros. example: f(x) = x / (x - 3).
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Find the area of the region inside the inner loop of the limaçon r=3−6cosθ.The area of the region is??
The area of the region inside the inner loop is 4.5π
How to calculate the areaUsing the formula A = 1/2 ∫[a,b] r^2(θ) dθ. In the case of the limaçon's inner loop, a has been set as 0, b is equal to π, and r equals 3 - 6 cosθ. Together, these values give us the following equation expression for the area:
A = 1/2 ∫[0,π] (3 - 6 cosθ)^2 dθ
= 1/2 ∫[0,π] (9 - 36 cosθ + 36 cos^2θ) dθ
= 1/2 [9θ - 36 sinθ + 12 sin(2θ)]|[0,π]
= 1/2 [9π]
= 45π
Therefore, the area of the inner loop in this instance is calculated as 4.5π.
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I Hope This Helps!
Answer
= 4.5π
During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. Express the following in ratios:
a. Purchasers to nonpurchasers
b. Nonpurchasers to purchasers
c. Purchasers to total customers
d. Nonpurchasers to total customers
HELPPP THIS IS FOR GEOMETRY
Answer:
Parallelogram
Step-by-step explanation:
You want the name of the figure defined by vertices I(2, -3), J(0, 0), K(4, 6) and L(6, 3).
ParallelogramA quick check will tell if the figure is a parallelogram. The diagonals will have the same midpoint.
(I +K)/2 = (J +L)/2
I +K = J +L . . . . . . . . multiply by 2 to make the math easier
(2, -3) +(4, 6) = (0, 0) +(6, 3) . . . . . substitute the given points
(6, 3) = (6, 3) . . . . . . . . . . . . . . the sums are equal
The figure is a parallelogram.
DiagonalsA parallelogram can be a rectangle, square, or rhombus. We can determine if it is a square or rectangle by looking at the lengths of the diagonals. First, we need to find the differences of their endpoints.
K -I = (4, 6) -(2, -3) = (4 -2, 6 +3) = (2, 9)
L -J = (6, 3) -(0, 0) = (6, 3)
The lengths will be the root of the sum of the squares. We can compare the lengths by comparing the sum of the squares (without taking the root):
2² +9² = 4 +81 = 85
6² +3² = 36 +9 = 45
The diagonals are different lengths, so the figure is not a rectangle.
Right anglesWe can make another check to see if the figure is a rhombus. In a rhombus, the diagonals are perpendicular. The "dot product" of the differences we just found will be zero in that case.
(2, 9)•(6, 3) = (2)(6) +(9)(3) = 12 +27 = 39 ≠ 0
The diagonals are not perpendicular, so the parallelogram is not a rhombus.
The most specific name of the figure is Parallelogram.
__
Additional comment
A lot is answered by graphing the points. The slopes and lengths of the lines can be found by counting grid squares between points horizontally and vertically. It is easy to see the diagonals cross at their midpoints, and that they are different lengths.
You can figure segment lengths and slopes for showing opposite sides are the same lengths and parallel, but we find the diagonal midpoint computation to be much easier for showing the figure is a parallelogram.
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what is the answer for the question
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$225\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &5 \end{cases} \\\\\\ A = 225[1+(0.06)(5)]\implies A=225(1.3) \implies A = 292.5[/tex]
Olivia is cutting a
1
1
2
m
1
2
1
m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by
3
4
m
4
3
mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal.
The area of each of the pieces will be 9/16 m²
Given that =
Dimension of the rectangular paper:
length = 3/2 m
breadth = 3/4 m
Olivia cuts the paper into two pieces along its diagonal.
We need to find the area of the pieces,
Olivia will cut the rectangular paper along its diagonal into two pieces.
After cutting she will get two triangular pieces, which will be congruent to each other by SAS congruency.
∴ Area of each of the triangular pieces will be given by,
= ½ × Area of the rectangular paper
= ½ × [length × breadth]
= ½ × 3/2 × 3/4
= ½ × 9/8
= 9/16
Hence, the area of each of the pieces will be 9/16 m²
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A parallelogram is shown below.
3.2 cm
4.25 cm
2.8 cm
What is the area, in square centimeters, of the parallelogram?
Answer:
h=4
Explanation:
Area of a parallelogram can be calculated by using the formulae :
A=bh ,
where A = Area, b = Base Length and h = Height
Therefore, by using the given information,
∴ 24 = 6h
∴ h=4c
Answer:
9.35
Step-by-step explanation:
P=SxSxS
=3.2+4.25+2.8
=9.35
59 percent of what number is 23.6
Answer:
Step-by-step explanation:
let’s take 59% of X = 23.6
So 59/100 * x = 23.6
59X/100 = 23.6
100/59* 59X/100 = 23.6 * 100/59
X = 40
Find The perimer of the figure
The Perimeter of the given figure is. we can find it by adding all the lengths of the sides of the triangle.
The given figure is a triangle and it has three sides.
The lengths of the sides are given as follows:
(-x²+4x) feet, (3x²+7) feet, and (2x - 1) feet.
The perimeter of the figure = Sum of the lengths of all the sides.
Now, we have to add the lengths of all the sides.
(-x²+4x) + (3x²+7) + (2x - 1).
Now, we have to add them in the highest degree order.
-x²+3x²+4x+2x+7-1
2x²+6x+6.
Therefore, the perimeter of the given figure is 2x²+6x+6.
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What’s the answer to the questions below? Plsss help
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
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Jamie bought a book for $18.75, a marker for
$4.35 and a notebook for $5.98. How much
change would he get back if he paid with $40?
Answer:
$10.92
Step-by-step explanation:
We can label book (a), marker (b) and notebook (c)
A+B+C= total cost
If we subtract the total cost from the $40 we get Jamie’s change
A+B+C= $29.08
40 - 29.08 = 10.92
Therefore, your answer will be $10.92
Andrea has $10 in the bank, and proceeds to put away an additional $9 every week saving for a new cellphone. Her grandparents already have $50 put
aside, and add an additional $2 every week to help her purchase the cellphone as well.
What equations would you write to represent Andrea's money in the bank, y, after x weeks, and her grandparents money in the bank, y, after x weeks.
Considering the definition of an equation,the equations that represents Andrea's money in the bank and Grandparents's money in the bank are y= 10 + 9x and y= 50 + 2x respectively
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign. One or more unknown values appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
Equations in this caseBeing "x" the number of weeks, and knowing that:
Andrea has $10 in the bank, and proceeds to put away an additional $9 every week saving for a new cellphone. Her grandparents already have $50 put aside, and add an additional $2 every week to help her purchase the cellphone as well.the equations in this case is:
Andrea's money in the bank= y= 10 + 9x
Grandparents's money in the bank= y= 50 + 2x
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Find X and Y
X= (Simplify your answer. Do not include the degree symbol in your answer.)
Y= (Simplify your answer. Do not include the degree symbol in your answer.)
The measures of the angles X and Y in the intersecting secants and tangents are 52.5 degrees and 35 degrees
Finding the measures of X and YFrom the question, we have the following parameters that can be used in our computation:
intersecting secants and tangents
Using the theorem of intersecting secants and tangents, we have
x = 1/2(140 - 35)
Evaluate the difference of 140 and 35
So, we have the following representation
x = 1/2 * 105
Evaluate the product of 105 and 1/2
So, we have the following representation
x = 52.5 degrees
if the lines represented by the arrows are parallel lines, then we have
y = 35 degrees
Otherwise, the question has missing details to solve for y
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The y-intercept represents the base price of $200 for airfare from NYC.
The slope represent a cost of $0.30 cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their fare.
According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about this trip, a linear equation that models the situation is given by;
y = mx + c
y = 0.30x + 200
when x = 2000, we have;
y = 0.30(2000) + 200 = $800.
when y = 500, we have;
500 = 0.30x + 200
300 = 0.30x
x = 1000 miles.
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Write the equation for a line that is parallel to y=6x+1 that passes through the point (-7,1)
The equation of the line that is parallel to y = 6x + 1 that passes through the point (-7, 1) is y = 6x + 43.
Given that,
A line is parallel to y = 6x + 1.
This line passes through (-7, 1).
We have to find the equation of the line.
y = 6x + 1 is in the form of a slope intercept form, which will give the slope as 6.
Any line parallel to this line will have the same slope.
The line parallel to this will be of the form,
y = 6x + c
This line passes through (-7, 1).
Equation of the line is,
1 = (6 × -7) + c
c = 43
Equation of the line is y = 6x + 43.
Hence the equation of the line is y = 6x + 43.
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how to solve this question?
The value of y in the trapezium is determined as 9 cm.
What is the value of y?
The value of y is calculated by applying the formula for area of a trapezium as shown below.
A = ¹/₂ ( a + b ) h
where;
a and b are the two parallel sides of the trapeziumh is the height of the trapeziumFrom the diagram, the height = 12 cm, the area = 96 cm², the first parallel side = 7 cm and second parallel side = y cm.
The value of y is calculated as;
96 = ¹/₂ ( 7 + y ) 12
96 = 6(7 + y)
96/6 = 7 + y
16 = 7 + y
16 - 7 = y
9 cm = y
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
The venn diagram shows the 12 students in Mr. Campbell's class. The diagram shows the memberships for the Volleyball Club and the Math Club. Note that "Ivanna" is outside the circles since she is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Volleyball Club." LEt B denote the event "the student is in the Math Club."
Answer:
I apologize, but I cannot see the Venn diagram that you mentioned in your question. However, I can help you understand how to use the given events A and B to answer questions related to probability.
1. What is the probability that the student is a member of either the Volleyball Club or the Math Club or both?
To find the probability that the student is in A or B, we need to add the probabilities of A and B and subtract the probability of their intersection (i.e., students who are members of both clubs). Symbolically, P(A or B) = P(A) + P(B) - P(A and B).
2. What is the probability that the student is not a member of either the Volleyball Club or the Math Club?
Since Ivanna is not a member of either club, there are 12 - 1 = 11 students who are members of at least one club. Therefore, the probability that a student is not in either club is (number of students not in A or B) / (total number of students) = (1/12).
3. What is the probability that the student is a member of the Volleyball Club given that the student is in the Math Club?
To find this conditional probability, we need to divide the probability of the intersection of A and B (i.e., students who are members of both clubs) by the probability of B (i.e., students who are in the Math Club). Symbolically, P(A given B) = P(A and B) / P(B).
I hope this helps! Let me know if you have any other questions.
Which equation has the same unknown value as 30÷=6? A6x30= B 6÷30 = 0 C6X=30 D6 =30
The solution to the division operation is:
6x = 30
How to solve division problems?Division is simply one of the four basic maths operations of arithmetic. The other operations are namely addition, subtraction, and multiplication. At an elementary level, we can say that the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.
Now, we want to find the division operation given as: 30 ÷ x = 6
If the unknown number is x, then we can say that:
30/x = 6
6x = 30
Thus, that is the solution to the division problem.
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Find the side lengths of each triangle.
Answer:
18) z + 5 = 4z - 4
3z = 9, so z = 3
z + 5 = 8
The side lengths of this equilateral
triangle are 8 units.
19) 2x + 6.8 = 8x + 1.4
6x = 5.4, so x = .9
2(.9) + 6.8 = 1.8 + 6.8 = 8.6
The congruent side lengths of this
isosceles triangle are 8.6 units.
¿que es un dividendo?
Answer:
the distribution of a company's earnings to its shareholders
Step-by-step explanation:
Enlist the properties of a binomial distribution. Find the probability of getting 8 heads and 5 tails in 13 tosses of an unbiased coin.
The solution is: ¼The answer is no because all have an equal probability and the possible outcomes for this can be HH or HT.
Here, we have,
Supposing that the coin is unbiased, and that landing on head and tail are exhaustive events.
So, P (first toss resulting in head) = 1/2and P (second toss resulting in a tail) = 1/2.
The two are independent events, necessary probability (their product) is 1/4.
Another way to see it as:
Possible outcomes: HH, HT, TH and TT, each with equal probability.
Hence, ¼The answer is no because all have an equal probability and the possible outcomes for this can be HH or HT.
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complete question:
On a single toss of a fair coin, the probability of heads is 0.5 and the probability of tails is 0.5. if you toss a coin twice and get heads on the first toss, are you guaranteed to get tails on the second toss? explain.
