Answer:
No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.
On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.
Answer:
Rhombuses are not rectangles
Step-by-step explanation:
This is because rhombuses do not have 4 right angles.
A square would be a rectangle because its a quadrilateral with 4 right angles
while a rectangle wouldn't be a square because it doesn't have 4 equal sides
A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle
PLEASE HELP QUICK
Is X=[2 -1
6 -4] the inverse of A=[1/2 1/4
-2 -1/2]?
Select answers from the drop-down menus to correctly complete the statements.
The product of the matrices
(a - is b - is not)
the identity matrix. Therefore, X and A
(a - are b - are not)
inverses of each other.
Answer:
The product of the matrices A and X is the identity matrix. Therefore, X and A are inverses of each other.
Step-by-step explanation:
Which statements are true about dilations? Select all that apply.
Dilations produce images that have a center that is the same as the pre-image.
What is dilations?Dilations are a type of transformation that change the size, shape, and orientation of an object. Dilation is a math operation that enlarges or reduces the size of an object or figure. It is a linear transformation that stretches or contracts shapes, which preserve the shape's angles and proportions. Dilation can be used to increase or decrease the area of a shape, or to change the distance between two points.
True statements about dilations are:
• Dilations produce images that are similar to the pre-image.
• Dilations produce images that have angles that are congruent to the pre-image.
• Dilations produce images that have sides that are proportional to the pre-image.
• Dilations produce images that have a center that is the same as the pre-image.
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Complete questions as follows-
Which statements are true about dilations? Select all that apply.
Dilations produce images that are similar to the pre-image.
Dilations produce images that are always congruent to the pre-image.
Dilations produce images that have angles that are congruent to the pre-image.
Dilations produce images that have sides that are congruent to the pre-image.
Dilations produce images that have sides that are proportional to the pre-image.
How much would 3 computers, 6printers, and 30 cd’s cost ?
The total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
What is cost?Cost is the amount of money that must be paid for goods or services. It can refer to the price of a single item, the total expense of a purchase, or the amount of money paid for a particular service. Cost is an important factor in calculations such as profit, budgeting, and pricing. It is also a factor in determining the value of goods and services when comparing different providers.
The total cost of 3 computers, 6 printers, and 30 CD's would depend on the type of products you are looking to purchase. Computers will vary in price depending on the make and model, as well as the features included. For example, a basic laptop might cost anywhere from $200 to $400, while a high-end gaming laptop could cost upwards of $2,000. Similarly, printers also vary in price depending on the features and type, ranging from $50 to $500. CDs can cost anywhere from $0.50 to $7.00 each, depending on the type and quality.
Therefore, the total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
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A youth bicycle wheel has a diameter of 20 inches. Darian can reach 3.5 revolutions per second riding down the big hill near his house. What is the approximate linear speed of Darian’s bicycle tire in miles per hour?
The formula for calculating the circumference of a circle (the distance around the circle) is:
C = πd, Where C denotes circumference, d denotes diameter and is a mathematical constant equal to 3.14.
Because the diameter of the bicycle wheel, in this case, is 20 inches, the circumference is:
C = d = 20 inches equals 62.8 inches
Darian covers the following distance per second at 3.5 revolutions per second:
62.8 inches = 220.4 inches distance = 3.5 C = 3.5
To convert this to miles per hour, we need to convert inches per second to miles per hour. Because there are 60 seconds in a minute and 60 minutes in an hour, the following are possible:
An hour has 60 X 60 = 3600 seconds.
There are also 12 inches in a foot and 5280 feet in a mile, so there are:
12 × 5280 = 63360 inches in a mile
Therefore, to convert inches per second to miles per hour, we can use the following conversion factor:
1 inch per second = (3600/63360) miles per hour
Multiplying both sides by the distance in inches per second gives:
distance in miles per hour = (distance in inches per second) × (3600/63360)
Plugging in the values we have calculated, we get:
distance in miles per hour = 220.4 inches per second × (3600/63360)
distance in miles per hour = 12.6 miles per hour (approximately)
Therefore, the approximate linear speed of Darian's bicycle tire is 12.6 miles per hour.
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-1 1/4 + 1 4/7 is the math equation, help me yall
Which situation could be modeled by the function y = 400(1 – 0.17)x?
The expοnential decay with a cοnstant percentage rate cοuld be mοdeled by this functiοn.
What is expοnential decay?Expοnential decay is a mathematical prοcess that describes the decrease οf a quantity οver time, where the rate οf decrease is prοpοrtiοnal tο the current value οf the quantity. Expοnential decay οccurs when a quantity decreases by a cοnstant percentage rate οver time.
The fοrmula fοr expοnential decay is given by:
[tex]y = a(1 - r)^t[/tex]
where:
y is the final amοunt οr value
a is the initial amοunt οr value
r is the decay rate, which is the fractiοn by which the quantity decreases per unit time
t is the time in sοme unit οf measurement
The functiοn [tex]y = a(1 - r)^t[/tex] represents an expοnential decay curve, which is a curve that starts high and apprοaches zerο but never reaches it. The rate οf decay is highest at the beginning and decreases as the quantity gets smaller.
Expοnential decay is cοmmοnly seen in many natural and scientific phenοmena, including radiοactive decay, the decay οf a pοpulatiοn οf bacteria, and the depreciatiοn οf the value οf an asset οver time. Expοnential decay is alsο used in finance, engineering, and οther fields tο mοdel variοus prοcesses that invοlve the lοss οf value οr the dissipatiοn οf energy οver time.
The given functiοn y = 400(1 – 0.17)x represents expοnential decay where y is the final amοunt, x is the time in sοme unit, and 0.17 is the decay rate per unit time.
In particular, this functiοn mοdels a situatiοn where a quantity is decreasing οver time at a cοnstant percentage rate οf 17% per unit time. The initial quantity, οr y-intercept, is 400.
Sοme examples οf situatiοns that cοuld be mοdeled by this functiοn are:
The value οf a car that is depreciating at a cοnstant rate οf 17% per year.
The amοunt οf a radiοactive substance that is decaying at a cοnstant rate οf 17% per hοur.
The number οf bacteria in a pοpulatiοn that is dying οff at a cοnstant rate οf 17% per day due tο a lack οf resοurces.
In general, any situatiοn that invοlves expοnential decay with a cοnstant percentage rate cοuld be mοdeled by this functiοn.
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Given a mean of 21 and a standard deviation of 1.2, what is the z-score of a data value x = 21?
Therefore, the z-score of a data value x = 21 is 0.
Answer: 0.
Which data do you mean?Data are pieces of information that have undergone modifications to make them transferable or computer-processable. For usage with modern computers and communication networks, data is information that has been converted into binary digital form. The topic of the data is admissible in both its singular and plural variants.
To find the z-score of a data value x, we use the formula:
z = (x - μ) / σ
where:
x is the data value
μ is the mean
σ is the standard deviation
In this case, we are given the mean μ = 21 and the standard deviation σ = 1.2. The data value x is also equal to 21.
Substituting the values into the formula, we get:
z = (21 - 21) / 1.2 = 0 / 1.2 = 0
Therefore, the z-score of a data value x = 21 is 0.
Answer: 0.
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Allison needs 13 inches of cloth for a sewing project, but the fabric store only sells the cloth by the centimeter. Since 1 inch is the same as 2.54 centimeters, how much cloth will Allison buy in centimeters?
Answer:
33.02 centimeters of cloth
Step-by-step explanation:
Since 1 inch is equal to 2.54 cemtimeters then all you need to do is multiply 13x2.54 and you have your answer of 33.02
Critically discuss strategies that the matric learners could implement if they did not obtain the marks they needed to enter their chosen study programmes
If matric learners do not obtain the marks they need to enter their chosen study programmes, there are several strategies they can implement to still achieve their academic and career goals:
1. Consider alternative study programmes: Matric learners who did not obtain the marks they need for their first choice of study programme should consider other programmes that may be similar or related to their original choice. They can also look at bridging courses, diploma programmes or short courses that will enable them to develop the skills and knowledge they need for their chosen career.
2. Upgrade matric results: Some learners may choose to re-write some of their matric subjects to improve their results. This can be done through night school, part-time courses or through online platforms. This will require dedication, hard work and perseverance, but it can be an effective way to meet the entry requirements for their desired study programmes.
3. Attend a tertiary institution with lower entry requirements: Matric learners who do not meet the requirements for their desired study programme at their first choice institution can consider attending another institution with lower entry requirements. This will enable them to obtain a qualification in their chosen field, which they can use to pursue further studies or career advancement.
4. Take a gap year: Taking a gap year to gain work experience or travel can provide learners with valuable skills and experiences that can enhance their application for their chosen study programme in the future. This time can also be used to upgrade their matric results or to explore other interests and career options.
In conclusion, while not obtaining the marks required to enter a chosen study programme can be disappointing, it is important for matric learners to remain positive and proactive. By considering alternative study programmes, upgrading matric results, attending institutions with lower entry requirements, or taking a gap year, learners can still achieve their academic and career goals.
a) If the slant range of the plane in the image is 14.5 km, and the ground range is 10.15 km, find the altitude of the plane to the nearest meter. Show your work and explain your thinking.
b) If this plane loses power and descends suddenly at a rate of 750 meters per minute, how much time will the pilot have before he has to land?
a) The altitude of the plane is approximately 8.4 kilometers.
b) The pilot has approximately 11.2 minutes before he has to land.
What is the Pythagorean theorem?
The Pythagorean theorem is a fundamental theorem in mathematics that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other two sides (the legs).
In mathematical terms, if we have a right triangle with legs a and b and hypotenuse c, the Pythagorean theorem can be written as:
[tex]a^2 + b^2 = c^2[/tex]
This theorem is named after the ancient Greek mathematician Pythagoras, who was the first to prove it. The Pythagorean theorem has numerous applications in geometry, trigonometry, physics, and engineering, among other fields.
The Pythagorean theorem can also be used to determine whether a triangle is a right triangle or not. If the lengths of the three sides of a triangle satisfy the equation [tex]a^2 + b^2 = c^2,[/tex] then the triangle is a right triangle with sides a and b and hypotenuse c.
a) In the given image, we can see that the slant range, ground range, and altitude form a right triangle. We can use the Pythagorean theorem to find the altitude of the plane.
Pythagorean theorem: In a right triangle, the square of the hypotenuse (slant range in this case) is equal to the sum of the squares of the other two sides (ground range and altitude in this case).
Therefore, we can write:
[tex]Slant range^2 = Ground range^2 + Altitude^2[/tex]
Substituting the given values, we get:
[tex]14.5^2 = 10.15^2 + Altitude^2[/tex]
Simplifying and solving for altitude, we get:
Altitude ≈ 8.4 km (rounded to the nearest meter)
Therefore, the altitude of the plane is approximately 8.4 kilometers.
b) If the plane descends suddenly at a rate of 750 meters per minute, we can use the altitude of the plane (calculated in part a)) to find the time the pilot has before landing.
Time = Altitude/Descent rate
Substituting the values, we get:
Time = [tex]\frac{8.4 }{0.75}[/tex] ≈ 11.2 minutes
Therefore, the pilot has approximately 11.2 minutes before he has to land.
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Given the probability histogram pictured for a discrete random variable X, what is μx?
Histogram with x-axis labeled X with scale from 0 to 5, y-axis labeled P(X) with scale from 0 to 0.5 with five bars. Bar 1 height is 0.3, bar 2 height is 0.45, bar 3 height is 0.05, bar 4 height is 0.1, bar 5 height is 0.1.
1.5
1.85
2.1
2.25
2.5
Answer:
2.25
Step-by-step explanation:
you pick a card at random. 2 3 4 What is P(odd)? Write your answer as a fraction or whole number.
The answer in a fraction or whole number. is P(odd) = 1/3.
What exactly is the fractions rule?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.
The number below the line is called the denominator. It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection
According to the fundamental principle of fractions, a fraction retains its value whenever its numerator or denominator were multiplied by a single non-zero number. It can be used to multiply or divide two fractions.
Only 3 is odd among the integers 2, 3, and 4. As a result, there is a 1/3 chance of selecting an odd number (1 out of 3).
P(odd) is equal to 1/3 as a result.
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Find the measurment of line segement
DE and EF?
The length of the measurements are;
EF = 7. 1 units
DE = 7. 0 units
How to determine the measurementUsing the sine trigonometric identity, we have that;
sin θ = opposite/hypotenuse
Given that;
Opposite side = DE
Hypotenuse = DF
Substitute the values
sin 45 = DE/10
Find the value and substitute
DE = 0. 7071(10)
DE = 7. 0
Using the Pythagorean theorem;
EF² = 10² - 7²
find the square value
EF = √ 51
EF = 7.1
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Please help me I would appreciate it.
use the Remainder Theorem and synthetic division please
Answer:
f (3) = 142
Step-by-step explanation:
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A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270°?
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft²
37.7ft²
12 ft²
9.4 ft²
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
What is circle?A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.
given
We must apply the fοllοwing algοrithm tο determine the sectοr's area:
Sectοr area is equal tο (angle at center/360°) * radius * 2
Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:
Sectοr area equals (270/360) * * 42.
Sectοr area equals (0.75) * 3.14 * 16
Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
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Andrea tiled a rectangle 2 1/2 units by 2 1/2 units. What is the area?
The rectangle has a surface area of 6 1/4 squares.
What is a rectangle and how big is it?The territory a rectangle occupies inside its 4 corners or limits is referred to as its area. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.
How come we measure area?The amount of space within a form is measured by its area. In daily life, figuring out a shape's or surface's area can be helpful. For instance, you may require know how so much paints to buy to paint a board or the amount of grass to plant on a lawn.
To find the area,
[tex]Area=lenght*width[/tex]
[tex]Area=\frac{5}{2} *\frac{5}{2}[/tex]
[tex]Area=\frac{25}{4}[/tex]
[tex]Area=6\frac{1}{4} square unit[/tex]
Therefore, the area of the rectangle is [tex]Area=6\frac{1}{4} square unit[/tex]
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Given ΔABC≈ΔPQR and your scale factor:
Complete the Hotspots
If youd like to show your work please do itll help me better understand.
∠1 = 68°
∠2 = 22°
side 3 = 5 cm
side 4 = 19.5 cm
5: perimeter of ΔABC = 45 cm
6: perimeter of ΔPQR = 30 cm
7: Area of ΔPQR = 30 cm²
How to complete the hotspots for the similar triangles?Similar triangles are triangles that have the same shape but may have different sizes. This means that corresponding angles of similar triangles are equal, and corresponding sides are in proportion.
The hotspots can be completed as follow:
∠1 = 180° - 22° - 90° = 68° (angle sum in a triangle)
∠2 = 22° (similar triangle)
side 3 = √(13²-12²) = 5 cm (Pythagoras)
side 4 = √(18²+7.5²) = 19.5 cm (Pythagoras)
5: perimeter of ΔABC = AB + BC + AC = 7.5 + 19.5 + 18 = 45 cm
6: perimeter of ΔPQR = PQ + QR + PR = 5 + 13 + 12 = 30 cm
7: Area of ΔPQR = 1/2 * base * height = 1/2 * 12 * 5 = 30 cm²
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Which equation represents the recursive formula?
N 1 2 3 4 5…
An -1 1 3 5 7…
A_n = A_n-1 + 2 represents the recursive formula.
Describe Recursive Formula?A recursive formula is a formula or equation that describes a sequence or function in terms of itself. In other words, the formula for a given term or value depends on the formula for one or more previous terms or values.
For example, the Fibonacci sequence is a sequence of numbers in which each term is the sum of the two preceding terms: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
This sequence can be described recursively using the following formula:
F(n) = F(n-1) + F(n-2)
where F(n) is the nth term of the sequence, F(n-1) is the (n-1)th term, and F(n-2) is the (n-2)th term.
Another example of a recursive formula is the factorial function, which is defined for non-negative integers n as:
n! = n * (n-1)!
This formula states that the factorial of n is equal to n multiplied by the factorial of (n-1). This recursive definition can be used to compute the factorial of any non-negative integer.
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increase 1352 by the sum of 897.23 and 39.89
Answer:
2289.12
Step-by-step explanation:
Answer:
2289.12
Step-by-step explanation:
the sum of 897.23 and 39.89 is 937.12
937.12+1352=2289.12
Use the method of undetermined coefficients to find one solution of
y′′−4y′+81y=48e^(2t)*cos(9t)+80e^(2t)*sin(9t)+3e^(−1t)
(It doesn't matter which specific solution you find for this problem.)
Using the method of undetermined coefficients, the particular solution is:
[tex]\mathrm{y_p(t) = 6e^{2t} \times cos(9t) + 3^{2t} \times sin(9t)}[/tex]
How to find the particular solution?To use the method of undetermined coefficients, we assume that the particular solution has the same form as the forcing term, but with undetermined coefficients.
Let's start by finding a particular solution for the equation:
y′′ − 4y′ + 81y = 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]
Since the forcing term contains both exponential and trigonometric functions, we'll assume that the particular solution is of the form:
[tex]y_p[/tex](t) = A*[tex]e^{2t}[/tex]cos(9t) + B[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]
where A, B, and C are undetermined coefficients that we need to determine.
Let's find the first and second derivatives of [tex]y_p[/tex](t):
[tex]y'_p[/tex](t) = (2A + 9B)*[tex]e^{2t}[/tex]*sin(9t) + (2B - 9A)*[tex]e^{2t}[/tex]*cos(9t) - C[tex]e^{(-t)[/tex]
[tex]y''_p[/tex](t) = (4A - 81B)*[tex]e^{2t}[/tex]*cos(9t) + (4B + 81A)*[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex])
Substituting these expressions into the differential equation, we get:
(4A - 81B)*[tex]e^{2t}[/tex]*cos(9t) + (4B + 81A)*[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]
4[(2A + 9B)*[tex]e^{2t}[/tex]*sin(9t) + (2B - 9A)*[tex]e^{2t}[/tex]*cos(9t) - C[tex]e^{(-t)[/tex]
81[A*[tex]e^{2t}[/tex]cos(9t) + B[tex]e^{2t}[/tex]*sin(9t) + C[tex]e^{(-t)[/tex]]
= 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]
Simplifying and grouping terms, we get:
[(4A + 18B)cos(9t) + (18A - 4B)sin(9t)][tex]e^{2t}[/tex]+ (81C + 3)[tex]e^{(-t)[/tex] = 48[tex]e^{2t}[/tex]cos(9t) + 80[tex]e^{2t}[/tex]sin(9t) + 3[tex]e^{(-t)[/tex]
Since the two sides of the equation must be equal for all values of t, we can equate the coefficients of the exponential and trigonometric functions on both sides:
4A + 18B = 48 => A = 6
18A - 4B = 80 => B = 3
81C + 3 = 3 => C = 0
Therefore, the particular solution is:
[tex]y_p[/tex](t) = 6[tex]e^{2t}[/tex]*cos(9t) + 3[tex]e^{2t}[/tex]*sin(9t)
Thus, the general solution of the differential equation is:
[tex]\mathrm{y(t) = y_h(t) + y_p(t)}[/tex]
where [tex]y_h[/tex](t) is the complementary solution. Since the characteristic equation of the differential equation is r² - 4r + 81 = 0, it has two complex conjugate roots: r = 2 ± 9i. Therefore, the complementary solution is:
[tex]y_h[/tex](t) = [tex]c_1[/tex]*[tex]e^{2t}[/tex]cos(9t) + [tex]c_2[/tex][tex]e^{2t}[/tex]*sin(9t).
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What is the sum of the series sum from n equals 1 to infinity of negative 7 times three eighths to the n power question mark.
Answer:
-21/5
Step-by-step explanation:
The given series is:-7(3/8)^1 - 7(3/8)^2 - 7(3/8)^3 - ...
We can see that this is a geometric series with first term a = -7(3/8)^1 = -21/8 and common ratio r = 3/8.
The sum of an infinite geometric series with first term a and common ratio r (where |r| < 1) is given by:
sum = a/(1-r)
Substituting the values for a and r, we get:sum = (-21/8)/(1-3/8) = (-21/8)/(5/8) = -21/5Therefore, the sum of the given series is -21/5.
Need help asap! (For 30 points)
Answer:
11%
Step-by-step explanation:
110 divided by 10 is 11% or 11 times 10 is 110
Answer:
10% of 110 is 11
Step-by-step explanation:
Finding the fraction of a number is the same as multiplying a fraction with the number
10/100 of 110 = 10/100 x 110
so the answer is 11
The following histogram shows the number of items sold at a grocery store at various prices: Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1. Which of the following data sets is represented in the histogram? {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99} {2, 4, 0, 1} {2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00} {0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
The second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 and the value of 5.00 the correct answer is {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
What is the histogram?A histogram is a graph used to represent the frequency distribution of a few data points of one variable. Histograms often classify data into various “bins” or “range groups” and count how many data points belong to each of those bins.
The histogram shows the number of items sold at various price ranges, and the heights of the bars indicate the number of items sold within each price range.
The data set that is represented in the histogram is:
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
This is because the histogram has four bars with heights of 2, 4, 0, and 1, which correspond to the number of items sold in each of the four price ranges shown.
The values in the data set correspond to the boundaries of these price ranges. For example, the first bar represents the price range from $0.00 to $2.50, so the data set includes the value 2.00 (which is within this range) and the value 2.52 (which is just outside this range).
Similarly, the second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 (which is within this range) and the value of 5.00 (which is the upper boundary of this range).
Therefore, the second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 and the value of 5.00 the correct answer is {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
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Question: What price should the restaurant sell the large square pizza (12 inch side) for, so that both pizzas cost the same amount per square inch?
According to the question the height of Ruben’s school is 360 inches.
What is school?School is a place where students can learn and grow in their knowledge. It is a place where students can gain an education and become well-rounded individuals. School is a place where people can make friends, learn from each other, and explore new ideas and topics. School is a place where teachers and staff provide guidance to help students succeed in their academics and extracurricular activities.
To find the height of Ruben’s school using similar triangles and a mirror, we can use the following formula:
height of school / height of Ruben = distance from mirror to school / distance from mirror to Ruben
Plugging in the given values, we get:
height of school / 72 = 425 / 85
Cross-multiplying and solving for height of school, we get:
height of school = 72 x 425 / 85
height of school = 360 inches
Therefore, the height of Ruben’s school is 360 inches.
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(2 -7) (-2 --7) slope intercept form
The answer is m = 0.
Which form most quickly reveals the zeros (or "roots") of the function?
All forms are equal.
1.[tex]f(x) = -3x^2+12x+15[/tex]
2.[tex]-3(x+1)(x-5)[/tex]
3. [tex]-3(x-2)^2+27[/tex]
What are the zeros?
By answering the above question, we may infer that Hence, x = -1 and x = equation 5 are the zeros of the function f(x).
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
To apply this technique, the quadratic function must be rewritten in vertex form as follows: f(x) = a(x-h)2 + k, where (h,k) is the vertex of the parabola.
The coefficient -3 from the first two terms is first removed by factoring: [tex]f(x) = -3(x^2 - 4x) + 15.[/tex]
After that, we finish the square enclosed in parenthesis by calculating (4/2)2 = 4:
[tex]F(x) = -3[(x-2)2 - 4] + 15 F(x) = -3(x-2)2 + 27 F(x) = -3[(x-2)2 - 4] + 15[/tex]
The parabola is at (2, 27), and because the squared term's coefficient is negative, the parabola widens downward. Set f(x) = 0 and solve for x to discover the zeros: [tex]0 = -3(x-2)2 + 27 3(x-2)2 = 27 (x-2)2 = 9 x-2 = 9 x = 2 3[/tex]
Hence, x = -1 and x = 5 are the zeros of the function f(x).
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What is the equation for calculating the area of a triangle?
A =
base · height
A = length · width
A = pi · height
A =
base · height
The equation for calculating the area of a triangle is:
A = 1/2 * base * height
where A represents the area of the triangle, base represents the length of the base of the triangle, and height represents the height of the triangle measured perpendicularly to the base.
Translation: 4 left and 2 down
Answer: (2,0) = (-2,-2) (2,2) = (-2,0) (1,0) = (-3,-2) (0,2) = (-4,0)
Step-by-step explanation:
Destiny loves to compete in triathlons. At a race a few months ago, she finished in 220 minutes. At a race yesterday, she took 15% less time to finish. What was her time at yesterday's race?Until recently, Patty owned 2,220 acres of farmland. This year, she sold the old land and purchased a new plot that is 1,887 acres in size. What is the percent of decrease in the amount of land that Patty owns now?
The percent decrease in the amount of land that Patty owns now is approximately 15.00%. Destiny's time at yesterday's race was 187 minutes.
To find Destiny's time at yesterday's race, we can first calculate the time reduction as a percentage of her previous time, and then subtract that reduction from her previous time.
The time reduction is 15% of 220 minutes -
0.15 x 220 = 33
So, she took 33 minutes less at yesterday's race.
Her time at yesterday's race is -
220 - 33 = 187 minutes
Therefore, time value is obtained as 187 minutes.
The percent decrease in the amount of land that Patty owns can be calculated by finding the difference between her old and new land sizes, dividing that by her old land size, and then multiplying by 100 to convert to a percentage.
The difference between her old and new land sizes is -
2,220 - 1,887 = 333
Dividing that by her old land size and multiplying by 100, we get -
(333/2220) x 100 ≈ 15.00
Therefore, the percent decrease is obtained as 15.00%.
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Can someone answer this just read the picture? Right answers only please!
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
[tex]a_{1} =[/tex] First term
= 6
[tex]d =[/tex] Common difference
= 3
[tex]n =[/tex] [tex]n^{th} term[/tex]
= Step number
Arithmetic sequence will be applied:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
For n = 2:
[tex]a_{2} = 6 + (2 - 1)(3)[/tex]
[tex]= 6 + (1)(3)[/tex]
[tex]= 9[/tex]
For n = 3:
[tex]a_{3} = 6 + (3-1)(3)[/tex]
[tex]= 6 + (2)(3)[/tex]
[tex]= 6 + 6[/tex]
[tex]= 12[/tex]
∴For n = 41:
[tex]a_{41} = 6 + (41 - 1)(3)[/tex]
[tex]= 6 + (40)(3)[/tex]
[tex]= 6 + 120[/tex]
[tex]= 126[/tex]
∴There will be 126 smiley faces in Step 41
