The number is given as follows:
x = -3.
How to obtain the number?The variable representing the number is given as follows:
x.
The product of 3 and the number is given as follows:
3x.
Twenty less than the product of 3 and the number is:
3x - 20.
The entire expression is equivalent to -29, hence the value of x, representing the number, is obtained as follows:
3x - 20 = -29
3x = -9
x = -3.
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What is 15 divided by 10 ( In a fractions answer)
Answer:
15/10 = 32 = 1 12 = 1.5
Step-by-step explanation:
brainiest would be most needed thx
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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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
*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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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
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
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?'--
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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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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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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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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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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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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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]
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.
Jeff opens his desert shop and sold pies, cakes, and cookies in it. He sold pes Monday through Friday.
He sold cakes Monday through Saturday. He sold Cookies Monday through Sunday. He had the following number of sales for each day. Using an ANOVA analysis, state if any of the deserts is significantly more popular.
Pies Cakes Cookies
Monday 5 7 6
Tuesday 2 4 7
Wednesday 7 9 5
Thursday 4 5 7
Friday 3 2 9
Saturday 2 7
Sunday 3
Compute the appropriate statistic.
For the desert table above, what is the critical value at 95% and is the observed statistically significant?
1. Anova analysis shows that the P-value is 0.2762. This is greater than the significance level of 0.05. This means that there is no statistically significant difference in the popularity of the desserts.
2. F-stats ( 1.4038 ) P-value ( 0.2762) DF ( 2 and 15)
3. The critical F-value at 95% is 3.68. It means that it is not statistically significant at at 95% level.
What is critical F-value?
The critical F-value is a value used in hypothesis testing, specifically in ANOVA (Analysis of Variance).
It is defined by the test's degrees of freedom and the specified significance level (typically written by, such as 0.05 for a 95% confidence level).
For the table provided, below is the ANOVA analysis.
Data summary from ANOVA analysis
Groups N Mean Std Deviation Std. Error
Pies 5 4.2 1.9235 0.8602
Cakes 6 4.8333 2.7869 1.1377
Cookies 7 6.2857 1.8898 0.7143
Source DF SS MS F-stats P-value
Between groups 2 14.049 7.0246 1.4038 0.2762
Within groups 15 75.0615 5.0041
Total 17 89.1107
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Does the following equation model exponential growth or decay? Identify the rate.
The rate: y=-2(1.03)x (but on top of the last parentheses
A Growth 3%
B Decay 3%
C Growth 103%
D Growth .03%
I believe its A not sure tho
The equation of the function y = -2(1.03)^x is a growth function i.e. A Growth 3%
Categorizing the functions as decay or growthFrom the question, we have the following parameters that can be used in our computation:
y = -2(1.03)^x
An exponential function is represented as
y = ab^x
If b > 0, then it is a growth function
Otherwise, it a decay function
Using the above as a guide, we have the following:
y = -2(1.03)^x -- growth
This also means that the rate of growth is 3%
Hence, the function y = -2(1.03)^x is a growth function
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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.
Refer to the figure. Find the indicated values to the nearest hundredth of a centimeter or hundredth of a degree. Round all intermediate values to four decimal
places.
150
Part 1 of 2
D
Part 2 of 2
36
60°
C
78
31°
B
20 cm
(a) Find the lengths of BC, AC, DB, DC, ED, EC, and EA.
BC
cm, AC
cm, DC
cm, ED
DBN
(b) Find the measures of ZAEC and CAE.
ZAEC
and CAE.
cm, EC
my
cm, and EA
cm.
From the figure, the values of |BC| = 13cm,|AC| = 17cm, |DB| = 36cm, |DC|= 8cm, |DE| = 24cm, |EC| = 18 cm, |EA| = 21cm
What is sine rule?The sine rule, also known as the law of sines, is a relationship that states that side “a” divided by the sine “a” is equal to side “b” divided by the sine “b”. It can be used to find unknown lengths or angles of a triangle and its formula can be written as Sin A/a
The sine rule states that
a/sinA = b/sinB = c/sinC
To find the value of |BC| using the above formula.
a/sin41 = 20/sin78
a= (20/sin78 ÷sin41)
a = 20* 0.6561 /0.9782
a = 13cm
/BC/ = 13cm
To find |AC| using the same formula
a/sinA = b/sinB = c/sinC
note that <A = 180 - (78+41) = 61
b/sin61 = 13/sin41
b = (13*sin61)/sin41
b = 13* 0.8746/0.6561
b = 17cm
/AC/ = 17cm
To find /DB/ using the same formula
a/sinA = b/sinB = c/sinC
Note that <DCB = 180 - (60+31) = 180-91 = 89
c/sin89 = 31/sin60
c = 31 / 0.8660 ÷ 0.9998
c = 36cm
/DB/ = 36cm
To find /DC/ using the same formula
a/sinA = b/sinB = c/sinC
b/sin31 = 13/sin60
b = 13*sin60)/sin31
b = 13*0.5150 /0.8660
b = 7.7cm
|DC| = 8cm
To find /ED/ using the same formula
a/sinA = b/sinB = c/sinC
Note that <DCE = 180- (36+15) = 129
Tis implies that
c/sin129 = 8/sin15
c= (8*0.7771)/0.2588
c = 24 cm
To find |EC| using the same formula
a/sinA = b/sinB = c/sinC
d/sin36 = 8/sin15
d*sin15 = 8*sin36
d= (8*sin36)/sin15
d = (8*0.5878)/ 0.2588
d = 18cm
|EC|= 18 cm
Finally, To find |EA| using the cosine formula
Note that < ECA = 180-78 = 102
c² = a² +e²-2*aecos102
c²= 18²+8²-2*18*8*-0.2079
c² = 324 +64 +60
c² = 448
c √448
c = 21cm
|EA| = 21cm
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Part A To calculate slope, you need two points. Choose two points on the line.
The slope of this line is equal to 3/5.
How to calculate or determine the rate of change or slope of a line?In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points (0, 0) and (5, 3) into the formula for the slope of a line, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 0)/(5 - 0)
Slope (m) = 3/5.
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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.
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
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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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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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.
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed high school is chosen at random, what is the probability that they are aged 30-39? Round your answer to the nearest thousandth.
Age 20-29 Age 30-39 Age 40-49 Age 50 & over Total
High school only 923 1131 910 938 3902
Some college 699 579 1559 1546 4383
Bachelor's degree 930 952 697 1411 3990
Master's degree 634 628 562 1389 3213
Total 3186 3290 3728 5284 15488
The probability that a resident who has only completed high school are aged 30-39 = 0.059
We know that the probability of event A is given by the formula,
P(A) = number of possible outcomes of event A / total number of outcomes
We need to find the probability that a resident who has only completed high school are aged 30-39.
Let event A: a resident who has only completed high school are aged 30-39.
The number of resident who completed high school and aged 30-39 = 933
And the total nuember of residnts = 15818
Using probability formula the required probability would be,
P(A) = n(A)/n(S)
P(A) = 933/15818
P(A) = 0.059
This is the required probability.
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Find the complete question below.
(2x+8)(5x-7) Which expression is equivalent to the given expression
The expression that is equivalent to given expression (2x+8)(5x-7) is 10x² + 26x - 56.
To find the equivalent expression of (2x+8)(5x-7), we need to use the distributive property of multiplication.
First, we distribute 2x to both terms inside the second parentheses, and then we distribute 8 to both terms inside the second parentheses. This gives us:
(2x)(5x) + (2x)(-7) + (8)(5x) + (8)(-7)
Simplifying the terms inside each set of parentheses, we get:
10x² - 14x + 40x - 56
Combining like terms, we have:
10x² + 26x - 56
The distributive property of multiplication is a fundamental property in mathematics that helps simplify expressions by breaking down a term into smaller, more manageable parts.
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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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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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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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