Here, we have to solve for the variable "N".
Let's take numbers to one side and the variable to another.
Remember, side change means sign change.
So,
\(\begin{gathered} -2N+3=8 \\ 3-8=2N \\ -5=2N \end{gathered}\)Now, that we have it, we simply divide both sides by 2 to get the vlaue of "N",
\(\begin{gathered} -5=2N \\ N=-\frac{5}{2} \end{gathered}\)lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Solve for x. 4/5x=−14
Answer:
x = -11.2
Step-by-step explanation:
hope it helps
if a labour earns Rs 6360 in a year find his earning in one month
There are 12 month in a year :
6360 ÷ 12 = 530
Thus the labour earns Rs 530 in a month .
To find this out we will divide 6360 by 12 (as there are 12 months in an year) 6360/12 = 530 . Therefore answer = rs 530
Pls follow and mark brainliest.
When Josh babysits, he charges a flat fee of $14 plus an
hourly rate of $9. How long would Josh need to babysit if he
wants to earn $86 in one night?
Answer:
8
Step-by-step explanation
86-14=72 this is the hourly rate before the flat fee is added on. Now you have to divide $72 by $9 to see how many hours josh needs to work. Josh gets paid $9 an hour so he needs to work for 8 hours in order to get $72. Then add the flat fee of 14 and you get $86
Which of the following would be true regarding the following exponential expression?
3m 7/9
A - The exponent of 3 is 7/9.
B - If written in radical form, 9 would be the exponent
inside the radicand.
C - The rational exponent is 9/7.
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question 4 of 5
D - If written in radical form, 7 would be the index.
E - If written in radical form, 9 would be the index.
Answer:
A - The exponent of 3 is 7/9.
Step-by-step explanation:
The expression 3^(7/9) can be read as "3 to the power of 7/9".
This means that the number 3 is being multiplied by itself 7/9 times.
For example
3^(2/3) can be written as cube root of 3, cube root of 3 is equal to 3^(1/3) .
When the exponent of an expression is a fraction, it can be written in radical form, with the denominator of the fraction as the index of the radical. However, it's not true in this case as the index is not 9 but 7.
So, the correct answer is A - The exponent of 3 is 7/9.
(1 3/4 + 2 3/8) + 5 7/8=
Answer:
10
Step-by-step explanation:
super computers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer the Titan,has 4,485x10^10 transistors in its central processing
The total number of transistors in the Titan is equal to 5.950 × 10²¹ transistors.
What is a supercomputer?A supercomputer simply refers to one of the most powerful computers that is designed and developed for handling, evaluating, and solving very complicated problems, calculations, or tasks, better than ordinary desktop or laptop computers.
How to find the total number of transistors in the Titan?In order to determine the total number of transistors in the Titan, we would multiply the number of transistors in its central processing unit (CPU) by the number of transistor in its graphics processing unit (GPU) as follows:
Total number of transistors = 4.485 × 10¹⁰ × 1.3268 × 10¹¹
Total number of transistors = (4.485 × 1.3268) × (10¹⁰ × 10¹¹)
Total number of transistors = 5.950 × (10⁽¹⁰ ⁺ ¹¹⁾)
Total number of transistors = 5.950 × 10²¹ transistors.
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Complete Question:
Supercomputers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer, the Titan, has 4.485 × 10¹⁰. transistors in its central processing unit (CPU) and another 1.3268 × 10¹¹. transistor in its graphics processing unit (GPU). Find the total number of transistors in the Titan. Show your working and give your answers in standard form.
the following figure shows triangle abc with side lengths ab=10 bc=8 and ca=5 de is constructed parallel to ab and to originate at point d, the missing of ac
Answer:
Step-by-step explanation:
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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How can you use dilations to solve real world problems?
You can use dilations when drawing blueprints to.......
scale, move or rotate? Which one is it?
Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.
A microscope dilates a specific specimen four times larger. A microscope, a projector, a model boat, or a model of a city. All of these use dilation..
_______________________________
And your question is which one is it? Well it's all of the above.
\(\color{red}{\tt{Hope \ It \ Helps}} \)
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
To compare freshmen’s knowledge of mathematics in two departments of a university, a certain professor in Mathematics got a sample of Education and Nursing students and gave a special examination. A sample of 25 Education students has a mean score of 88.50 with standard deviation of 7.5. A sample of 29 Nursing students have a mean score of 90.25 with a standard deviation of 8.2. Is there a significant difference between the two sample means? Use α = .01 level of significance.
There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Is there a significant difference between the mean scores?Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.
We will use significance level (α) of 0.01.
Given:
Sample mean for Education students (x₁) = 88.50
Sample mean for Nursing students (x₂) = 90.25
Standard deviation for the Education student sample (s₁) = 7.5
Standard deviation for the Nursing student sample (s₂) = 8.2
Sample size for Education students (n₁) = 25
Sample size for Nursing students (n₂) = 29
The t-test statistic for two independent samples is:
t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))
t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))
t ≈ -0.8187
In this case, df = 24.
The critical value for α = 0.01 and df = 24 is approximately ±2.797.
Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.
Therefore, we fail to reject the null hypothesis.
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Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Draw a balanced hanger diagram for the equation 2x=4
Step-by-step explanation:
3360832553 ____ pass___ wZE2XQ
Answer:
See the attached picture.
Step-by-step explanation:
I had to look up 'balanced hanger' because that was not a term from my own math education, but I found it no problem.
See the attached picture.
There are 2 x's on the left and 4 1's on the right.
This means the equation has 2 x's on the left of the equal sign and 4 1's on the right.
Each unit of different size should be in a different shape.
The idea is that the hanger 'balances', just like a set of scales, or the same way an equation balances both sides.
Hope this helps.
Given right triangle � � � ABC with altitude � � ‾ BD drawn to hypotenuse � � ‾ AC . If � � = 22 AD=22 and � � = 15 , DC=15, what is the length of � � ‾ BD in simplest radical form?
The length of BD is 18.5 units.
In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.
Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.
In triangle ABD, we have the following sides:
AB = AD = 22 (given)
BD = ?
Now, let's consider triangle CBD. In this triangle, we have the following sides:
BC = DC = 15 (given)
BD = ?
Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.
The area of triangle ABD can be calculated as:
Area(ABD) = (1/2) * AB * BD
Similarly, the area of triangle CBD can be calculated as:
Area(CBD) = (1/2) * BC * BD
Since the areas of ABD and CBD are equal, we can equate their expressions:
(1/2) * AB * BD = (1/2) * BC * BD
We can cancel out the common factor (1/2) and solve for BD:
AB * BD = BC * BD
Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:
AB = BC
In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.
BD is equal to half of the hypotenuse AC:
BD = (1/2) * AC
Substituting the given values, we have:
BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5
Therefore, the length of BD is 18.5 units.
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What is the product of 2.8 x 10^6 and 7.7 x 10^5 in scientific notation
Help me please and thank you..
Answer:
You will move each point of this shape 1 unit into the right. Then will move each point of this shape 2 units down. The draw line between each point.3. A rectangular garden has an area of 40m² and a perimeter of 26m. The length of the
garden is a cm and its width is b cm.
(a) Form two equations involving a and b.
(b) Solve these equations simultaneously in order to find the length and width
of the garden
Answer:
a) a +b= 13, ab= 40
b) length= 8m, width= 5m
Step-by-step explanation:
Perimeter of rectangle= 2(length +width)
Area of rectangle= length ×width
a) Perimeter= 26m
2(a +b)= 26
Divide both sides by 2:
a +b= 26 ÷2
a +b= 13 ----- (1)
Area= 40m²
ab= 40 ----- (2)
b) From (1): a= 13 -b ----- (3)
Substitute (3) into (2):
(13 -b)(b)= 40
Expand:
13b -b²= 40
b² -13b +40= 0
Factorise:
(b -5)(b -8)= 0
b -5= 0 or b -8= 0
b= 5 or b= 8
Substitute into (3):
a= 13 -5 or a= 13 -8
a= 8 or a= 5
Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.
Answer:
Step-by-step explanation:
Perimeter = 2length + 2 width
2a + 2b = 26 m
Divide the equation by 2
\(\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\\)
a + b = 13 --------------(I)
a = 13 -b
Area = length *width
a*b = 40 sq.m
ab = 40 ----------------(II)
Plugin a = 13 -b in the equation (II)
(13 - b)*b = 40
13*b - b*b = 40
13b - b² = 40
0 = 40 + b² - 13b
b² - 13b + 40 = 0
Sum = - 13
Product = 40
Factors = (-8) , (-5) {-8 + (-5) = -13 & (-5)*(-8) = 40}
b² - 8b - 5b + (-8)*(-5) = 40
b(b - 8) - 5(b - 8)= 0
( b - 8) (b - 5) = 0
b - 8 =0 ; b -5 =0
b= 8 ; b = 5
Length = 8 cm
Width = 5cm
Show all work, 100 points.
Part A:
To find the linear form of vector u=ST, we subtract the coordinates of the initial point S from the coordinates of the terminal point T:
u = T - S
u = (5, 19) - (14, 23)
u = (-9, -4)
Therefore, the linear form of vector u is u = -9i - 4j.
Part B:
To find 4u - 5v, we first need to find the linear forms of vectors u and v.
u = -9i - 4j
v = B - A
v = (32, 9) - (7, 17)
v = (25, -8)
Now we can calculate 4u - 5v:
4u - 5v = 4(-9i - 4j) - 5(25i - 8j)
4u - 5v = (-36i - 16j) - (125i - 40j)
4u - 5v = -36i - 16j - 125i + 40j
4u - 5v = (-36i - 125i) + (-16j + 40j)
4u - 5v = -161i + 24j
Therefore, 4u - 5v is equal to -161i + 24j.
Part C:
To determine if vectors t and u are parallel, orthogonal, or neither, we can use the dot product. The dot product of two vectors is given by the formula:
t · u = t1u1 + t2u2
Given vector 1 = -161 + 36j and vector u = -9i - 4j, we can calculate the dot product:
t · u = (-161)(-9) + (36)(-4)
t · u = 1449 - 144
t · u = 1305
Since the dot product is not equal to zero, vectors t and u are not orthogonal.
Part D:
To find another vector w that has the same relationship to vector t as vector u, we can use the concept of scalar multiplication. If we multiply vector t by a scalar value, we can obtain vector w.
Let's choose a scalar value of 3. We can calculate w as:
w = 3t
w = 3(-161i + 36j)
w = -483i + 108j
Therefore, vector w = -483i + 108j has the same relationship to vector t as vector u.
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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
IQ scores are normally distributed with an average score of 100 and a standard deviation of 15. a.) People with an of at least 122 are considered above average in intelligence. What z-score corresponds to an IQ of 122? SHOW YOUR WORK ON PAPER. Round to 1 decimal place b.) Using the table above and your answer to part a, what percent of the population would have an IQ of 122 or higher? c.) Einstein was said to have an IQ of 160. What would this mean? SHOW YOUR WORK ON PAPER. Explain your answer mathematically ! d.) Your neighbor told you they recently took an IQ test and scored in the 58th percentile but they can't remember what their IQ is. What is their IQ? SHOW YOUR WORK ON PAPER e.) Fill in the values for the normal distribution curve that represents the values within 3 standard deviation from the mean. Be sure to label the mean and the value corresponding to each standard deviation.
We have to use the z-score formula
\(\begin{gathered} z=\frac{x-\mu}{SD} \\ \\ z=\frac{122-100}{15}=\frac{22}{15}=1.47 \end{gathered}\)A z-score of 1.5 approximately has an IQ of 122 and above.
b) Let's see the z-table
0.9332 is the corresponding value, so the percent is 1 - 0.9332 = 0.0668 x 100% = 6.68%
c)
\(z=\frac{x-u}{sd}=\frac{160-100}{15}=\frac{60}{15}=4\)The corresponding value is 0.9997. This means that Einstein has an IQ greater than 99.997% of the population
d) He scored 58th percentile, which is a z-score of 0.2.
So his IQ is:
\(\begin{gathered} 0.2=\frac{x-100}{15} \\ 15(0.2)=x\text{ - 100} \\ 3+100=x \\ x=103 \end{gathered}\)His IQ was 103.
e)
So the values between 3 standard deviatiosn are 100 - 15(3)= 100-45 = 55
100 + 15(3) = 100 +45 = 145.
The values between 3 SD are the ones between 55-145
100 POINTS AND BRAINLIEST
For what values of c does the quadratic equation -x^2+4x+c=0
1. Have no real roots?
2. Have two roots with the same sign?
3. Have one negative root and one root equal to 0?
4. Have two roots with opposite sides?
Answer:its c
Step-by-step explanation:
Answer:
1. c < -4
2. -4 < c < 0
3. c = 0
4. c > 0
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.8 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}\)
Given quadratic equation:
\(-x^2+4x+c=0\)
Question 1If the quadratic equation has no real roots, then the discriminant is less than zero:
\(\implies b^2-4ac < 0\)
\(\implies (4)^2-4(-1)(c) < 0\)
\(\implies 16+4c < 0\)
\(\implies 4c < -16\)
\(\implies c < -4\)
Question 2If the quadratic equation has two real roots, then the discriminant is greater than zero:
\(\implies b^2-4ac > 0\)
\(\implies (4)^2-4(-1)(c) > 0\)
\(\implies 16+4c > 0\)
\(\implies 4c > -16\)
\(\implies c > -4\)
Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root. If c < 0 there would be 2 sign changes and therefore a maximum of 2 negative roots.
Therefore, for the two roots to have the same sign, -4 < c < 0.
Question 3If c = 0 then:
\(\implies -x^2+4x=0\)
\(\implies -x(x+4)=0\)
\(\implies x(x+4)=0\)
Therefore, the roots would be 0 and -4 so there would be one negative root and one root equal to zero.
Question 4Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root.
Therefore, for the equation to have two roots with opposite signs, c > 0.
25/5=60/12 do they form a proportion
Answer: YES
Step-by-step explanation: both equal 5 when divided.
A group of students organized a car wash to raise
money for a local charity. The students charged $5.00
for each car they washed. In 3 hours, they washed 15
cars. At that rate, how much money could they earn
from washing cars for eight hours?
Answer:
Answer is 160.00
Step-by-step explanation:
*proportion*
3hours/12cars
8hours/ (x) cars
X=32
Answer:
I think they would earn $40 buckeroos in 8 hours
Step-by-step explanation:
$5.00 x 8 hours = $40.00
I hope this was right & helpful ^w^
Give the degree of the polynomial
Answer:
10
Step-by-step explanation:
Given polynomial:
\(3x^2y^3+8x^3y^7\)
The degree of a polynomial is the largest exponent in the function.
When a polynomial has more than one variable, add the exponents of each variable in each term.
3x²y³ has a degree of 5, since both exponents add up to 5.
8x³y⁷ has a degree of 10, since both exponents add up to 10.
So the polynomial has a degree of 10.
Same directions as question #1
Sn = ( -1 )n + 1
The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.
How to depict the information?The formula for finding the nth term in an arithmetic sequence given as:
= a + (n - 1)d
Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:
= (-1)n + 1
= (-1)5 + 1
= (-1)6
= -6
Here is the complete question:
Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.
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Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation: