The equations in the slope intercept form are,
y = -5x + 87
y = 8x + 13
What is slope intercept form?
The equation of the line can be written in different ways. One of the methods of writing equations of a line is slope intercept form.
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. This form of linear equation is known as slope intercept form. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
For farmer Dubble,
Number of elentires in beginning c = 87
Number of elentires destroyed every month m = -5
Linear equation in slope intercept form
y = -5x + 87
For farmer Gespil,
Number of elentires in beginning c = 13
Number of elentires bought every month m = 8
Linear equation in slope intercept form
y = 8x + 13
Therefore the system of equations in slope intercept form are,
y = -5x + 87
y = 8x + 13
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Irene thinks she has space for a 45-inch-wide bookcase. It turns out that she only has space for a 40-inch-wide bookcase. What is the percent error in irene's measurement?.
Irene's measuring error is 12.5% when she believes she has space for a 45-inch-wide bookcase but only has enough for a 40-inch-wide bookcase.
What is percent error?A data value's approximation error is the difference between an exact value and some approximation to it. This inaccuracy can be stated as either an absolute or relative error. A computing machine accuracy or measurement mistake can generate an approximation error. The difference between the estimated and real values in relation to the actual value is indicated as a percentage. In other words, the relative error multiplied by 100 equals the percent error. The percentage error compares an estimate to the true amount and expresses the difference as a percentage. This statistic enables analysts to determine the magnitude of the inaccuracy in relation to the real value.
Here,
percent error,
=(45-40)/40*100
=5/40*100
=12.5%
The percent error in irene's measurement is 12.5% when she thinks she has space for a 45-inch-wide bookcase but turns out that she only has space for a 40-inch-wide bookcase.
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A survey found that 10% of Americans believe that they have seen a UFO. For a sample of 10 people, find the probability that at least 2 people believe that they have seen a UFO.
The probability that at least 2 people believe that they have seen a UFO is 0.264.
How to calculate the probability?Here, n = 10, p = 0.1, (1 - p) = 0.9 and x = 2
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)
We need to calculate P(X >= 2).
P(X >= 2) = (10C2 * 0.1^2 * 0.9^8) + (10C3 * 0.1^3 * 0.9^7) + (10C4 * 0.1^4 * 0.9^6) + (10C5 * 0.1^5 * 0.9^5) + (10C6 * 0.1^6 * 0.9^4) + (10C7 * 0.1^7 * 0.9^3) + (10C8 * 0.1^8 * 0.9^2) + (10C9 * 0.1^9 * 0.9^1) + (10C10 * 0.1^10 * 0.9^0)
P(X >= 2) = 0.194 + 0.057 + 0.011 + 0.001 + 0 + 0 + 0 + 0 + 0
P(X >= 2) = 0.264
The probability is 0.264.
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How do I do this I need help
Step-by-step explanation:
-5° < 8°
that is all that is to it. really. you see ? an inequality, meaning that 2 terms or expressions are compared (like on a balance).
they can be totally balanced, that means they are equal, and then we have an equation.
or one can be bigger ("heavier"), and so one side is smaller and the other larger. and that is then not equal. we have an inequality.
What are the slopes of lines parallel and perpendicular to the line 3x+y=9
(Select one answer per blank).
The slope that is parallel to 3x + y = 9 is -3.
Perpendicular slope is 1/3.
What are the Slopes of Parallel and Perpendicular Lines?The slope of two lines is considered parallel if the slopes are equal, and the slope of two lines is considered perpendicular if the product of the slopes is -1 or would be negative reciprocals of each other.
Given the equation of a line as 3x + y = 9, rewrite in slope-intercept form to find the slope.
3x + y = 9
y = -3x + 9
The slope is -3. The negative reciprocal of -3 is 1/3, because it has a product of -1.
Therefore, parallel slope to the line is: -3, while perpendicular slope is 1/3.
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In circle E the length of FG is 5/3 pie and m
The circle's shaded area, which has a sector angle of 50 degrees and an arc length of 5/3 pie, has a surface area of 15.67m2.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.
given
A / θ = πr² / 2π
A / θ = r² / 2
A = r² * θ / 2
A = (5/3)^2 * 25
A = 15.67 m2
The circle's shaded area, which has a sector angle of 50 degrees and an arc length of 5/3 pie, has a surface area of 15.67m2 .
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The completed question is :-
In circle E , the length of FG = 5/3π and ∠FEG = 50° . Find the area shaded below. Express your answer as a fraction times .
what is angle ros as a integer or a decimal
The measure of the angle m<ROS = 14°.
What is the angle?
An angle is a geometric figure that is defined by two rays that have the same endpoint. The rays are called the sides of the angle and the common endpoint is called the vertex of the angle. The angle is the amount of rotation between the two rays, measured in degrees or radians.
In the given figure,
m<QOS = 46, m<POR = 58 and m<POQ = 26
m<POR = m<POQ + m<QOR
58 = 26 + m<QOR
m<QOR = 32
m<QOS = m<QOR + m<ROS
46 = 32 + m<ROS
m<ROS = 14
Hence, the measure of the angle m<ROS = 14°.
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Evelyn is donating boxes of pasta to a local food pantry. The weight limit on one cardboard box is 28 kilograms. If each box of pasta weighs kilogram,what is the greatest number of boxes of pasta Evelyn 2 5 can put into one cardboard box without going over the weight limit?
70 is the greatest weight that Evelyn can put into the cardboard without going over the weight limit
How to calculate greatest weight that can be put into the cardboard?From the question
Weight limit on one box = 28 kilograms
Weight of each box = ⅖ kilogram
To find the greatest number of boxes of pasta she can put into one cardboard box without exceeding the weight limit, we have:
G=28/2/5
To divide the fraction, change the division sign to multiplication and flip the fraction:
=28x5/2
=140/2
=70
Therefore, the greatest number of boxes Evelyn can put without going over the weight limit is 70 boxes
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Pablo wants to find the most popular television show among seventh- grade students at his school. Which method will most likely. Result in a representative sample of the population
Randomly surveyed 50 seventh-grade students at Pablo's school.
What is confidence in statistics?
In statistics, confidence refers to the level of certainty or trust in the accuracy of a statistical estimate. A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence. The level of confidence is usually expressed as a percentage, such as 95% or 99%.
In this experiment, the focus is on seventh graders, and therefore a more representative sample of the population will be selected 50 seventh-grade students from Pablo's school. Selecting this category of the sample will increase confidence in the result of the statistical experiment.
Hence, randomly surveyed 50 seventh-grade students at Pablo's school.
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\Select all the correct answers. A triangular frame has two side lengths measuring 18 inches and 12 inches. Which values are possible lengths for the third side? 30 in 6 in 28 in 32 in 20 in 24 in
A triangular frame has two edges lengths measuring 18 inches and 12 inches. The possible value of length for the third side is 32 in.
What is a triangle?Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. The symbol for a triangle having vertices A, B, and C is ABC.In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane.All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.A triangular frame has two side lengths measuring 18 inches and 12 inches. as we know that the sum of any two sides of a triangle is always greater than the third side.
That is, the third side < 18 +12
third side < 30
according to the question, the option that fits perfectly is 32in.
Hence, The possible value of edges for the third side is 32 in.
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Prove that is a right triangle. Select the correct answer from each drop-down menu.
is congruent to because segment was constructed so that . is congruent to because segment was constructed so that . Since is a right triangle, by the
. We are given that . Since and , by the
. Also, by the
. Taking the square root of both sides of the equation gives . So, is congruent to by the definition of congruence. Applying the
, . By CPCTC, . Therefore is a right angle and is a right triangle.
ABC is a right-angled triangle.
What is a Right Angled Triangle ?A triangle in which one angle is 90 degree is called a Right Angled Triangle.
AB is congruent to DB because segment DE was constructed so that
DE = AB, BC is congruent to EF, because segment EF was constructed so that EF = BC,
Since Triangle DEF is a right-angled triangle.
Using Pythagoras Theorem,
DE² +EF² = DF²
We are given that AB²+BC² = AC²
Since, DE = AB and EF = BC, DE² +EF² = AC²
Also, DF² = AC² by the above equation.
DF = AC
So AC is congruent to DF by the definition of congruence.
Δ ABC ≅ Δ DEF by SSS rule
Therefore, ABC is a right-angled triangle.
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Luis works as a salesperson
Answer: Can you show the whole problem please?
Step-by-step explanation:
A 1. 0 kg ball i thrown into the air with an initial velocity if 30 m/. How much gravitational potential energy doe the ball have when it reache the top of it acent?
As per the given mass the potential energy of the ball will be equal to 450 J when it reaches the top to its ascent.
Here we have given that Mass of ball is 1.0kg
And we need to find the value of the kinetic energy and here we also know that the velocity of the ball is 30m/s
As we all know that Kinetic energy is the energy possessed by a moving object. It is measured in joules, and then it depends on the mass (m) of the object and the velocity (v) by which it moves, then it can be written as,
=> K.E = 1/2mv²
=> KE = 1/2 x 1.0kg x (30m/s)²
when we simplify this then we get
=> KE = 0.5 x 1.0 x 900
Then the value of KE is 450J
Therefore the potential energy of the ball is 450 joules.
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A fair spinner with three numbers (5, 6, and 7) is spun once. What is the probability that the spinner lands on a number less than 7 or a factor of 42?
Answer:
the probability of landing on a number less than seven is 2/3 which is five and six
the probability of landing on a factor of forty- two is the same which is 2/3 because it is 6 and 7
Maria plots the following points on a coordinate grid. Then, she connects each plotted point to the previous one in the order shown to form a figure. What is the area, in square units, of the enclosed figure? (1,3) (5,7) (5,5) (8,9) (8,3) (1,3)
Area of the enclosed figure is, 8√ 5 (5 + 2√5) units².
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Maria plots the following points on a coordinate grid.
Here, Points are,
⇒ (1, 3) (5, 7) (5, 5) (8, 9) (8, 3 ) (1, 3)
Clearly, It make pentagon.
And, Area of pentagon = 1/4 √5 (5 + 2√5) a²
Here, The side of pentagon = √ (7 - 3)² + (5 - 1)²
= √4² + 4²
= √32
= 4√2
Thus, Area of figure = 1/4 √5 (5 + 2√5) a²
= 1/4 √5 (5 + 2√5) (4√2)²
= 8√ 5 (5 + 2√5)
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what is the location of the vertex of this graph?
The location of the vertex of this graph is (-1, -18)
How to determine the vertex of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The vertex of a graph is the minimum or the maximum of a graph
In this case, it is a minimum and the minimum is located at (-1, -18)
Hence , the vertex is (-1, -18)
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A cylinder-shaped candle has a diameter of 5 inches and a height of 8 inches. what is the volume of the cylinder? use 3.14 for pi. round to the nearest tenth, if necessary. responses 62.8 in³ 62.8 in³ 125.6 in³ 125.6 in³ 157 in³ 157 in³ 628 in³
The volume of the cylinder-shaped candle is 157 in³ which diameter and height are 5 inches and 8 inches.
What is cylinder ?
A cylinder is a three-dimensional geometric shape that has two parallel bases that are circular in shape and a curved lateral surface connecting the bases. The bases are located at the top and bottom of the cylinder. The distance between the bases is the height of the cylinder and the distance across the base is the diameter of the cylinder.
The volume of a cylinder is given by the formula V = [tex]\pi r^{2}h[/tex], where r is the radius and h is the height ,
To find the volume of the cylinder-shaped candle, we first need to find the radius. The diameter is given as 5 inches, so we can divide that by 2 to find the radius,
r = 5 inches / 2 = 2.5 inches
Now we can plug this value of r and the given height of 8 inches into the formula:
V = [tex]\pi r^{2}h[/tex] = π(2.5 inches)^2(8 inches) = 3.14 * 6.25 * 8 = 157 in³.
Hence , The volume of the cylinder-shaped candle is 157 in³ which diameter and height are 5 inches and 8 inches.
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write the point-Slope form of the line passing through the point (6,9) with a slope of 5
I need answers fast please!
Answer:
y-9=5(x-6)
Step-by-step explanation:
the equation is y-y1=m(x-x1)
Answer:
The point-Slope form of the line is y - 9 = 5(x - 6)------------------------------
Point-slope form:
y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) - a point on the lineSubstitute:
m = 5, (x₁, y₁) = (6, 9)The line is:
y - 9 = 5(x - 6)- Seth bought 4 sandwiches. The bill was at the most $24.
a. Write and solve an inequality to represent the cost of each sandwich.
Answer: 24 = 4x
Step-by-step explanation:
First define a variable for the unknown quantity : in this situation we’ll let x represent the cost of one sandwich
now we know that 4 Sandwiches multiplied by x will equal 24
so 4x = 24 or 24 = 4x
Find the measure of the indicated arc or angle.
Answer: Arc EG/GE = 135°
Step-by-step explanation:
Given:
∠EGF = 80°
Arc FG = 65°
Since ∠EGF = 80°, the value of Arc EF = 2(∠EGF)
Therefore, Arc EF = 2(80°) = 160°
The arc measure of an entire circle is 360°.
Therefore,
360° = EF + FG + GE
360° = 160° + 65° + GE
GE/EG = 135°
Is Figure B a scale copy of Figure A?
Choose 1 answer:
A
Figure A
B
Yes
No
Figure B
Figure A is replicated in scale in Figure B. A figure that is geometrically identical to the original figure is called a scale copy.
What is meant by scale copy?A figure that is geometrically identical to the original figure is called a scale copy. This indicates that the scale copy and the original figure are identical in shape but may vary in size. Every length in the original figure is multiplied by the same number in a scaled copy, which is a copy of the original figure. For instance, triangle ABC is a scaled version of triangle DEF. To find the matching side length on triangle DEF, each side length on triangle ABC was multiplied by 1.5.Given are two triangular figures, Figure A and Figure B.
The scale factor from figure A to figure B is requested of us.
As a result, Figure B is the last figure and Figure A is the first figure.
Any figure's scale factor is described as stated in equation (1)
[tex]Scale Factor =\frac{\text { Final Dimension }}{\text { Initial Dimension }} \ldots \ldots . . .(1)$[/tex]
We can see from the preceding figures that while figure A uses 4 squares to represent the length of a pair of one parallel sides, figure B only needs 2 squares to represent the same length.
As a result, we can write that using equation (1).
[tex]Scale factor =\frac{\text { Dimension of figure } \mathrm{B}}{\text { Dimension of figure } \mathrm{A}}=\frac{2}{4}=\frac{1}{2}=0.5$[/tex]
Since the scale factor is smaller than 1, the figure is contracted, and the scale factor from Figure A to Figure B is therefore 0. 5.
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go to the link ONG i will give brainly bc idc and i never use this so ill give anyone it OMM
Answer:
PLS GIVE IT TO ME
Step-by-step explanation:
Suppoe that examining a pro forma reveal that the fifth-year net operating income (NOI) for the ubject property you are analyzing i $218,300. The projected firt-year net operating income (NOI) i $247,000. Uing data from comparable propertie, you have determined the overall capitalization rate to be 6. 00%, and the going-out cap rate to be 22. 0%. If, what i the indicated value of the ubject uing direct capitalization?
So, the indicated value of the subject using direct capitalization is $995,909.09.
To find the indicated value of the subject property using direct capitalization, you need to use the following formula:
NOI / Cap Rate = Indicated Value
The overall capitalization rate is 6.00% and the projected first-year NOI is $247,000.
Therefore, Indicated value can be calculated as:
Indicated Value = $247,000 / 0.06 = $4,116,666.67
Another way to find the indicated value is using the Going-out cap rate, which is 22.0% and fifth-year NOI $218,300.
Indicated Value = $218,300 / 0.22 = $995,909.09
It's important to note that a pro forma is a projection and not a guarantee of future results. Also, the value obtained from using direct capitalization method is an indication, not the actual value, as it's based on certain assumptions and it may not reflect the current market conditions.
Therefore, the indicated value of the subject using direct capitalization is $995,909.09
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HELPP Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 100 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 500 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Answer:
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Answer!! What is Simplified?
Answer:
Step-by-step explanation:
the volume of rectangle is length * width * height
so v=(3x-4)*(3x+4)*2x=(9x^2-16)*2x=18x^3-32x
maybe the choice is D
i just wanted to know what is -21(negative) divided by 3 is
Answer:-7
Step-by-step explanation:
Answer:
[tex]\boxed{-7}[/tex]Step-by-step explanation:
When you are dividing negative numbers, it's going to stay negative:
[tex]= > -21/3=\\\\= > -7[/tex]
Therefore, the correct answer is -7
When the lengths of the All sides are diffrent that type of triangle is called *?
scalene triangle is a type of triangle in which all the three sides have different lengths.
What is Scalene triangle?A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles.
A scalene triangle is uneven in the sense that all three sides are of different lengths.
Explanation:
A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees. Thus, it meets the angle sum property of the triangle.The scalene triangle (also known as the interscalene triangle) is located laterally at the root of the neck and is the space through which the roots and trunks of the brachial plexus and the third part of the subclavian artery exit the neckTo learn more about scalene triangle refers to;
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new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6%. a. How much interest will the customer earn in 20 years? b. What will the account balance be after 20 years?
The interest earned at 1.6% for 20 years will be $960.
What is simple interest?Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used.
Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.
Given that a new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6%.
The interest after 20 years will be calculated as,
SI = ( P x R X T ) / 100
SI = ( 3000 x 1.6 x 20 ) / 100
SI = $960
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What are the additive inverse of 19 /- 6 and 2 3?
The additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
Additive inverse is a mathematical term that refers to when two numbers are combined and their sum is equal to zero. To calculate the additive inverse of a fraction, you need to change the sign of the numerator and denominator. In the case of 19 /- 6, the -6 is already negative, so you just need to change the sign of the numerator from 19 to -19. Similarly, for 2 3, you need to change the sign of the numerator from 2 to -2. This would mean that the additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
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A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3. 125.
The common ratio of the given geometric sequence is 0.5
We know that for any geometric sequence,
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term of the sequence
r is the common ratio.
Hence when we say that the third term is 100 we can conclude that for the series
ar³⁻¹ = 100
or, ar² = 100 [1]
Also, we have been given that the eight-term is 3.125
Hence we can say that,
ar⁷ = 3.125 [2]
By dividing equation 1 by equation 2 we get
ar⁷/ar² = 3.125/100
or, r⁵ = 3125/100000
or, r⁵ = 5⁵/ 10⁵
Since the powers are the same, the bases can be equated to get
r = 0.5
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Complete Question
A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125. Find the common ratio.
Which type of triangle has side measures of 6 cm, 7 cm, and 12 cm and one angle with a measure of 135°? A. acute isosceles B.right scalene C.obtuse equilateral. D.obtuse scalene (please answer this exact)
Answer: Obtuse scalene
Step-by-step explanation: Hope it helps, please mark brainliest and give thanks.
Answer:
obtuse scale
Step-by-step explanation: