Answer:
9+6=15 540 divided by 15=36
Step-by-step explanation:
Answer:
9x+6y<=540 is the inequality
a lecture hall has 200 seats with folding arm tablets 30 of which are designed
There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
1. First we need to identify the total number of seats in the lecture hall which is 200.
2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.
3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.
4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.
The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
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What is the degree of polynomial 5x³ 4x² 7x?
The degree of the polynomial \(5x^{3} + 4x^{2} + 7x\) is 3 , that means it is a third degree polynomial called as cubic polynomial .
What is Degree Of Polynomial ?
The degree of the polynomial is defined as the highest power of the polynomial expression. But, if the polynomial has multiple variables, the degree of polynomial can be found by adding the powers of the different variables in the polynomial expression.
For Example : the degree of polynomial ⇒ \(9x^{2} + 7x + 2\) is 2 .
The polynomial is given as : \(5x^{3} + 4x^{2} + 7x\) , we have to find the degree ,
So , we can see that the the term having the highest power of the given polynomial is \(5x^{3}\) , and the degree is 3 .
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select the correct answer. the parent tangent function is horizontally compressed by a factor of and reflected over the x-axis. which equation could represent function g, the result of this transformation? a. b. c. d.
The equation that represents the function g , the result of the transformation is g(x) = -(1/2)tanx .
In the question ,
the parent function is given to be tangent ,
let the the parent function be denoted by "f" ,
So , f(x) = tanx,
given that the function is horizontally compressed by a factor of 1/2 ,
that means the function is multiplied by 1/2 ,
So ,g(x) = (1/2)tanx
also given that it is reflected over the x axis ,
reflection over x axis means , multiplying it by -1,
So , g(x) = -(1/2)tanx .
Therefore , the function g is g(x) = -(1/2)tanx .
The given question is incomplete , the complete question is
The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Write an equation to represent function g, the result of this transformation ?
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Answer:
g(x)=-tan(2x)
Step-by-step explanation:
Find the value of x. Do not include "x=" in your answer.
26
13
х
Answer:
x = 39
Step-by-step explanation:
Secant and tangent line from a point outside the cirlcle,
(length of th tangent)² = length of the secant * external segment
26² = (13 + x) * 13
\(\sf (13 +x)*13 = 26 *26\\\)
\(\sf 13 + x =\dfrac{26*26}{13}\)
13 + x = 2* 26
13 + x = 52
x = 52 - 13
x = 39
can i have some help pls
The ratio of boys to girls in a class is 5:7. There are 36 students in the class. How many students are girls?
Answer:
21
Step-by-step explanation:
Please give me brainliest
Answer:
you need 2 people to answer so here you go
Step-by-step explanation:
Choose the expression that completes the equation. 33 ÷ 3 + 10 =______ A. 2(10 + 1) B. 10(1 + 1) C. 3(6 + 1) D. 5(3 + 5)
Answer:
C. 3(6+1) =21
Step-by-step explanation:
33/3 is done first and that is 11+10= 21
6+1=7(3)= 21
Describe the impact on the volume if the dimensions are multiplied by 14. Select one or more: a. The volume will decrease by 116. b. The original volume will be divided by 43. c. The original volume is decreased by approximately 2111.15 units3 d. The new volume will be 14 of the original volume. e. The original volume will multiplied by 164.
The correct statement is: d. "The impact on the volume if the dimensions are multiplied by 14 the new volume will be 14 times the original volume.
To determine the impact on the volume when the dimensions of the cone are multiplied by 14, we need to calculate the new volume and compare it to the original volume. Let's denote the original radius as r and the original height as h.
Given:
Original radius (r) = 12 ft
Original height (h) = 24 ft
New radius = 14 * r
New height = 14 * h
The formula for the volume of a cone is V = (1/3) * π * r^2 * h.
Original Volume (V_original) = (1/3) * π * (r^2) * h
= (1/3) * π * (12^2) * 24
≈ 10845.12 cubic feet
New Volume (V_new) = (1/3) * π * ((14 * r)^2) * (14 * h)
= (1/3) * π * (196 * r^2) * (14 * h)
= (1/3) * π * (196 * (12^2)) * (14 * 24)
= (1/3) * π * 196 * 144 * 336
≈ 1086615.36 cubic feet
Comparing the new volume to the original volume:
a. The volume will decrease by 116.
False. The new volume is significantly larger than the original volume, so it does not decrease by 116.
b. The original volume will be divided by 43.
False. Dividing the original volume by 43 does not yield the new volume.
c. The original volume is decreased by approximately 2111.15 units^3.
False. The difference between the new volume and the original volume is much larger than 2111.15 units^3.
d. The new volume will be 14 times the original volume.
True. The new volume is approximately 14 times the original volume.
e. The original volume will be multiplied by 164.
False. Multiplying the original volume by 164 does not yield the new volume.
Therefore, the correct statement is:
d. The new volume will be 14 times the original volume.
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subscript indices must be either positive integers or logicals:T/F
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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15 points helpppppppppp plz
A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of x.
the value of x.
Answer:
x = 104
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
24+x = 128
Subtract 24 from each side
24+x-24 =128 -24
x =104
when a template is created, dummy ____ is/are used to verify the formulas in the template.
When a template is created, dummy data is used to verify the formulas in the template.
A template is a pre-designed format or layout that can be used for various purposes, such as creating reports, invoices, or budgets. One of the most important aspects of creating a template is ensuring that all the formulas and calculations used in it are accurate and produce the desired results.
To verify the formulas in a template, dummy data is often used. Dummy data is a set of fictitious or meaningless data that is used to test and verify the functionality of a system or application. In the context of templates, dummy data is used to ensure that the formulas and calculations used in the template are working correctly.
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A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
\(6s^{2} = 6*7^{2} = 294 cm^{2}\)
\(s^{3} = 7^{3} = 343 cm^{3}\)
Pls help asap!!!!! I don’t understand
Answer:
27
Step-by-step explanation:
13=g/3 +4
9=g/3
27=g
answer:27
Jeremy received a Bill with a balance due of 25.60
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
Twenty-two people are running in tomorrow's
Road race and Jerome thinks they will each want two cups of energy drink.
B) how much water and how much drink mix should Jerome use to make enough energy drink for all the runners?
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation: 8 cups + 3 cups = 11 cups
So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply
each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,
3 cups x 4 = 12 cups
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation:
Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.
Answer:
Rhion did better in maths test.
Step-by-step explanation:
Given that:
Rhion scored 14 out of 17.
We will find percentage and then compare them.
Percentage = \(\frac{Score}{Total\ marks}*100\)
Percentage = \(\frac{14}{17}*100\)
Percentage = 82.35%
Rhion scored 31 out of 39.
Percentage = \(\frac{31}{39}*100\)
Percentage = 79.48
On comparing,
82.35 > 79.48
Hence,
Rhion did better in maths test.
Find an equation of the ellipse having a major axis of length 10 and foci at (1, 5) and (1, 1).
The equation of the ellipse having a major axis of length 10 and foci at (1, 5) and (1, 1) is (x - 1)²/100 + (y - 3)²/16 = 1. So, the correct answer is option B.
The equation of an ellipse is given by (x-h)²/a² + (y-k)²/b² = 1, where (h, k) is the center of the ellipse and a and b are the length of the major and minor axes respectively.
Since the major axis of the given ellipse has a length of 10, we can set a = 10. The two foci of the ellipse are given as (1, 5) and (1, 1) which means the center of the ellipse is the midpoint of these two foci, i.e., (1, 3). Therefore, h = 1 and k = 3.
We also need to calculate the length of the minor axis, b. We can calculate this value using the distance formula,
d = √((x2 - x1)² + (y2 - y1)²)
Therefore,
b = √((12 - 12)² + (52 - 12)²)
= √(0 + 16)
= 4
Therefore, the equation of the ellipse with a major axis on length 10 contains foci at (1, 5) and (1, 1) is given by (x - 1)²/100 + (y - 3)²/16 = 1.
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Complete Question:
Find an equation of the ellipse having a major axis of length 10 with foci at (1, 5) and (1, 1):
A. (x - 1)²/100 + (y - 3)²/4 = 1
B. (x - 1)²/100 + (y - 3)²/16 = 1
C. (x - 1)²/25 + (y - 3)²/4 = 1
D. (x - 1)²/25 + (y - 3)²/16 = 1
Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2
The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.
What are polynomial terms?The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.
x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.
Therefore, the correct option is B. x2/3 + v3x+1.
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What is the equation of the line that passes through the point (5, 4) and has a slope of 4/5
Answer:
y=4/5(x-5)+4
Step-by-step explanation:
y=m(x-h)+k
y=4/5(x-5)+4
In which step does a mistake first appear in simplifying the expression -2 (3a - 5) + 1.5 (6a - 10) +4(a -2) ?
Option C is incorrect
6a+ 10 + 9a - 15 - 4a - 8
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Step-by-step explanation:
The solution and answer are well written in the Pic above.
Given equation of the Circle is ,
\(\sf\implies x^2 + y^2 = 25 \)
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
\(\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2\)
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
\(\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }\)
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Tyler's sister works in the makeup store, Sephora. Tyler's sister earns a commission. She makes 2.5% of the amount she sells. Last week, she sold $900 worth of makeup and products. How much did she make?
Answer:
$22.5
Step-by-step explanation:
Given data
Commission= 2.5%
Amount sold=$900
Let us find 2.5% of $900
=2.5/100*900
=0.025*900
=$22.5
Hence she made $22.5
the older of the two systems for greek numerals that inspired the roman numerals was known as the numerals.
The older of the two systems for Greek numerals that inspired the Roman numerals was known as the Attic numerals.
The Attic numerals were a system of numerals used by the ancient Greeks, particularly the Athenians. These numerals were developed around the 5th century BCE and were the precursor to the later Greek and Roman numeral systems. The Attic numerals were primarily based on the Greek alphabet, with each letter representing a specific numerical value.
In the Attic numeral system, the first nine letters of the Greek alphabet—alpha, beta, gamma, delta, epsilon, zeta, eta, theta, and iota—represented the values 1 to 9, respectively. The next nine letters—kappa, lambda, mu, nu, xi, omicron, pi, rho, and sigma—represented the tens from 10 to 90, respectively. The last six letters—tau, upsilon, phi, chi, psi, and omega —represented the hundreds from 100 to 900, respectively.
The Roman numeral system was heavily influenced by the Attic numerals. The Romans borrowed the idea of using letters to represent numbers but adapted and modified the system to create their own set of numerals. The Roman numerals used a combination of letters and subtraction rules to represent values. For example, the Roman numeral for 4 is "IV," which is obtained by subtracting 1 (I) from 5 (V). Similarly, the Roman numeral for 9 is "IX," obtained by subtracting 1 (I) from 10 (X).
In summary, the Attic numerals were the older Greek numeral system that served as the basis for the Roman numeral system. The Attic numerals used letters of the Greek alphabet to represent numerical values, and the Romans adapted and expanded upon this system to develop their own unique set of numerals.
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Complete Question
Fill in the blanks with correct answer:
The older of the two systems for greek numerals that inspired the roman numerals was known as the _______ numerals.
The older system for Greek numerals that inspired the Roman numerals was known as the Attic numerals. The Phoenician system served as the basis for the Greek adaptation
The older of the two systems for Greek numerals that inspired the Roman numerals was known as the Attic numerals. These numerals were used by the ancient Greeks and were derived from the earlier Phoenician system. Here is a step-by-step explanation of the connection between the two systems:
1. The Phoenician numerals: The Phoenician system was the precursor to the Greek numerals. The Phoenicians were a Semitic civilization who developed their own system of numerals. Their system consisted of symbols representing numbers and was based on a decimal system, similar to the system we use today.
2. The Greek adaptation: The ancient Greeks adopted the Phoenician system and made some modifications to create their own numerals. These modified numerals became known as the Attic numerals. The Greeks used these numerals in various contexts, including in their writing and on coins.
3. Influence on Roman numerals: The Roman numerals were directly influenced by the Attic numerals. The Romans adopted the Greek system of numerals, but they made further modifications and changes to suit their needs. The Roman numerals became widely used in the Roman Empire and are still used today in some contexts.
In conclusion, the older system for Greek numerals that inspired the Roman numerals was known as the Attic numerals. The Phoenician system served as the basis for the Greek adaptation, which then influenced the development of the Roman numerals. The Attic numerals played a significant role in the historical development of numerical systems.
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ii) What is the base of and exponent of −24 ? Base: Exponent:
The base and exponent of −2^4 are
Base: -2
Exponent: 4
How to determine the base and the exponentFrom the question, we have the following parameters that can be used in our computation:
-2^4
In the expression -2^4, -2 is the base and 4 is the exponent.
The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.
In this case the base is -2 and the exponent is 4.
So the expression -2^4 means -2 multiplied by itself 4 times.
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Jake is making bracelets to give to his sisters. He uses 4 rainbow charms and 8 white star charms for his younger sister's bracelet. He makes his older sister's bracelet a little bigger, so he uses 5 rainbow charms and 10 white star charms. Does Jake use the same ratio of rainbow charms to white star charms in both bracelets?
Answer: Yes.
Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.
You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?
Answer:
$660
Step-by-step explanation:
22*40 = 880 dollars. This is your gross pay.
Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars
We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars
Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.
Let me know if im wrong!
What is the radius of ⊙F?
The height of a right rectangular prism is 3 units greater than the length of the base. the edge length of the square base is x units. which expression represents the volume of the prism, in cubic units? x3 9 x3 3x2 x3 3x 3 x3 6x2 9x
The equation for the volume of the prism will be given as V=x^3+3x^2
What will be the equation of volume of the prism?The volume of the prism is given by the following formula
\(\rm Volume = Width\times Length\times hieght\)
Here we have a condition in the question that
The height of a right rectangular prism is 3 units greater than the length
\(h=x+3\)
length will be l = x
The width will be w=x
now by putting the value in the formula we get
\(\rm Volume = w\times L\times h\)
\(\rm Volume = x \times x \times (x+3)\)
\(\rm Volume = x^3+3x^2\)
Thus the equation for the volume of the prism will be given as \(V=x^3+3x^2\)
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Please help
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
An equation of the line in point-slope form is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
The equation of the line in slope-intercept form is y = 6x + 55.
Describe Equation?Equations can involve variables, which are placeholders for unknown values that we wish to find. For example, the equation x + 3 = 7 asserts that the value of x plus 3 is equal to 7. We can solve for x by subtracting 3 from both sides of the equation, obtaining x = 4.
Equations can be linear or nonlinear, and they can involve one or more variables. They can be represented in various forms, such as standard form, slope-intercept form, or quadratic form.
To find the equation of the line in point-slope form, we need to first find the slope of the line. We can use any two points from the table to find the slope using the formula:
slope = (change in y)/(change in x)
Let's use the first and last points in the table:
slope = (295 - 175)/(40 - 20) = 120/20 = 6
Now we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is any point on the line. Let's use the first point (20, 175):
y - 175 = 6(x - 20)
To write this equation in slope-intercept form, we need to isolate y:
y - 175 = 6x - 120
y = 6x + 55
So the equation of the line in slope-intercept form is y = 6x + 55.
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HElp me please!!!!!!!!!!!!!!!!
The difference in the size between the apple and the orange symbols distort the comparison.
What is a misleading graph?Data that has been manipulated or distorted in a way that is false or misleading is represented graphically in a misleading graph. A misleading graph might be made purposely to mislead or unintentionally owing to a misunderstanding of how to show the data correctly or a lack of experience in that area.
Changing the axes' scale, using multiple scales for different areas of the graph, using incorrect labelling or units, and ignoring or exaggerating specific data points are a few examples of misleading graphs.
The difference in the size between the apple and the orange symbols distort the comparison.
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