Answer:
\(15m^2+3\)
Step-by-step explanation:
7 - 4 = 3
To add the m^2 you just add the first numbers together.
9m^2 + 6m^2 = 15m^2
Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.
y2+7y−2=0
The quadratic equation y2 + 7y - 2 = 0 can be solved using the quadratic formula, which states that the solutions for x in the equation ax^2 + bx + c = 0 are given by:
x = (-b ± √(b^2 - 4ac)) / 2a
We can apply the quadratic formula to this equation by letting a = 1, b = 7, and c = -2:
y = (-7 ± √(7^2 - 4 * 1 * -2)) / 2 * 1
y = (-7 ± √(49 + 8)) / 2
y = (-7 ± √57) / 2
So the solutions to the equation y2 + 7y - 2 = 0 are:
y = (-7 + √57) / 2
y = (-7 - √57) / 2
The solutions to the equation are y = (-7 + √57) / 2 and y = (-7 - √57) / 2.
Two thousand,
seven hundred and three units
What are units??
\(Question\)
What are units??
Two thousand,
seven hundred and three units
Answer:
Hi, there! ♚♛♕♔
Units are a type of measurement.
Units can refer to cm, mi, km, m, or any other type of measurement.
Think of units as a "unit" or one of something.
Hope this helps and please consider marking branliest.
what is the perimeter of a square that has an area of 25 square feet?
We know that the perimeter of a squate is (Where x is the side of the square):
\(P=4x\)and we know that the area is:
\(A=x^2\)So we can repace the area to find x so:
\(\begin{gathered} 25=x^2 \\ x=\sqrt[]{25}=5 \end{gathered}\)So the perimeter will be:
\(P=4\cdot5=20\)So the perimeter is 20 feet
5 years ago, the average age of ishan and his father was 27 years old. If ishan is now 1/3 of his father’s age, how old os ishan now?
Answer:
9
Step-by-step explanation:
3x9=27
Find the slope and the -intercept of the line. y=x+8
Answer:
slope = 1
y intercept = (0,8)
Step-by-step explanation:
the equation y = x + 8 is put in y = mx + b form
where m = slope and b = y intercept
in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)
Answer:
m = 1 and b = 8
Step-by-step explanation:
y = x + 8
Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the
y-intercept so b=8
what is the thing highlighted?
Answer:
I think a fraction
Step-by-step explanation:
Xd
Priscilla invested 20,000 at rate of 12% over 5 years. Much to her surprise, her investment paid off, and her account grew by an additional $12,000. What is the principal in this scenario?
The principal in this scenario is $ 8000.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.
Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.
It is Given that:
Priscilla invested 20,000 that means the total amount she invested.
Amount= $ 20,000
Rate of interest=12%
Time= 5 year
Interest= $12,000.
By the formula;
Amount = principal + Interest
Principal = Amount - Interest
Principal= $ 20,000- $12,000
Principal=$ 8000
Hence, the principal in this scenario is $ 8000.
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Four hundred and seventy three thousand as a value of digits
Answer:
473,000
Step-by-step explanation:
:D
Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
Let f(x)= -5x + 9 Find f(0)
Answer:
f(0)=9
Step-by-step explanation:
f(x)= -5x+9
f(0)= -5(0)+9
f(0)= 0+9
f(0)= 9
Maggie studied for 2/5 of an
hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?
Answer: 3/20
Concept:
When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.
Solve:
Given information
Maggie study time = 2/5 hours
Julie study time = 1/4 hours
Given expression deducted from the concept
Maggie (study time) - Julie (study time)
Substitute values into the expression
2/5 - 1/4
Find the denominators' Least Common Multiple (LCM)
First five multiples of 5: 5, 10, 15, 20, 25
First five multiples of 4: 4, 8, 12, 16, 20
Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5
Convert the fractions to common denominator
2/5 = (2 × 4) / (5 × 4) = 8 / 20
1/4 = (1 × 5) / (4 × 5) = 5 / 20
Simplify by subtraction
=8/20 - 5/20
=(8 - 5) / 20
=\(\boxed{\frac{3}{20} }\)
Hope this helps!! :)
Please let me know if you have any questions
Choose the two rectangles that have an area of 18 square centimeters.
6 cm
9 cm
OA
D.
3 cm
2 cm
9 cm
7 cm
B
E
9 cm
2 cm
5 cm
C
4 cm
Answer:
Rectangle ARectangle DStep-by-step explanation:
To find the answer, calculate the area of the rectangles.
Area of rectangle = Length * Width
Rectangle A Rectangle B Rectangle C
= 6 * 3 = 9 * 9 = 5 * 4
= 18 cm² = 81 cm² = 20cm²
Rectangle D Rectangle E
= 9 * 2 = 7 * 2
= 18 cm² = 14 cm²
The two rectangles are therefore A and D.
Stock Market Worksheet 1
You need to show your work in order to receive full credit.
Business Organization
1. James invests $10,000 in a partnership with 3 other people. One of those people also invested
$10,000 and the other two invested $90,000 each. What percent of the business does James
own?
I would give whoever answers this all my 330 points please help
The percentage of the business that James owns, given the amount he invested into the partnership, is 5 %
How to find the percentage owned ?To find the percentage of the business that James owns, you first need to find the total amount invested into the business by all the partners. That amount is :
= 10, 000 + 10, 000 + 90, 000 + 90, 000
= $ 200, 000
The percentage of the business owned by James is :
= Amount invested by James / Total amount invested by partnership
= 10, 000 / 200, 000
= 5 %
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What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
I need help on how to do this!!!?
Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.
Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.
Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.
Going from 2/5 to 4/10 has us multiply top and bottom by 2.
-----------
Similarly, 1/2 = 5/10 after multiplying top and bottom by 10
The original expression 2/5 + 1/2 turns into 4/10 + 5/10
Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10
Answer: 9/10 Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
what fraction of a semicircle is an angle that measures 11pi/18 radians? express your answer as a fraction in simplest terms
Check the picture below.
let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc
\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)
Unit 1 geometry basics
Homework 5 angle relationships
Answer:
Where is the question?
Find the reciprocal of 43/5
Answer:
Step-by-step explanation:
El recíproco de un número es el inverso multiplicativo del número, lo que significa que el producto de un número y su recíproco es igual a 1.
Para encontrar el recíproco de 43/5, primero debemos escribir el número como una fracción. Luego, intercambiamos el numerador y el denominador para obtener el recíproco.
El recíproco de 43/5 es entonces:
Recíproco de 43/5 = 5/43
Esto se puede verificar multiplicando 43/5 y 5/43:
(43/5) * (5/43) = 1
Por lo tanto, el recíproco de 43/5 es 5/43.
Answer:
\(\frac{5}{43}\)
Step-by-step explanation:
Reciprocal just means turn the fraction upside down.
$200 is shared between Bill and Ann. Ann’s share is $50 more than Bill’s share. Calculate the size of each of their shares.
First subtract the difference between the two:
200 - 50 = 150
Now divide that by 2:
150/2 = 75
Bills share is $75
Now add the $50 to 75 to get Ann's share:
75 + 50 = $125
Ann's share is $125
Bill's share is $75
Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
write the equations of lines
x= 3
y=6
The linear function with a x-intercept at x = 3 and a y-intercept at y = 6 is:
y = -2x + 6.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the value of y when x = 0.The line has an y-intercept of y = 6, hence the parameter b is given as follows:
b = 6.
When x = 3, y = 0, meaning that when x increases by 3, y decays by 6, hence the slope m is given as follows:
m = -6/3
m = -2.
Hence the function is defined as follows:
y = -2x + 6.
Missing InformationThe problem asks for a linear function with a x-intercept at x = 3 and a y-intercept at y = 6.
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Write and equation for each line
To find the equation of all the lines, we must:
1. Find the slope
Choose any two pointsSubstitute the coordinates into the slope formulaSolve for the slope.2. Find the y-intercept by looking at the graph
Finding the equation of the green line:
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (-4, 0)Step-2: Review the slope formula
\(\rightarrow \text{Slope = m} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)Where:
x₁ = x coordinate of the first pointx₂ = x coordinate of the second pointy₁ = y coordinate of the first pointy₂ = y coordinate of the second pointStep-3: Substitute the coordinates into the slope formula.
\(\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}\)\(\rightarrow \frac{0 - 4 }{-4 - 0 } = \text{Slope of green line}\)\(\rightarrow \frac{-4 }{-4} = \text{Slope of green line}\)\(\rightarrow 1 = \text{Slope of green line}\)Step-4: Find the y-intercept of the green line
The y-intercept is the intersection of the line on the y-axis. Looking at the graph, we can tell that the intersection of the y-axis made by the green line is 4.
\(\text{y-intercept} = 4\)Step-5: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (1)x + (4) [m = 1; b = 4]Equation of green line: y = x + 4Finding the equation of the yellow line
The yellow line is a vertical line intersecting (1,0). Since the y-coordinate is 0, the equation will be:
x = x coordinate of (1,0)The x coordinate of (1,0) is 1.
x = 1Finding the equation of the blue line
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (2, 0)Step-2: Substitute the coordinates into the slope formula.
\(\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}\)\(\rightarrow \frac{0 - 4 }{2 - 0 } = \text{Slope of green line}\)\(\rightarrow \frac{-4}{2} = \text{Slope of green line}\)\(\rightarrow -2 = \text{Slope of green line}\)Step-3: Find the y-intercept of the green line
Looking at the graph, we can tell that the intersection of the y-axis made by the blue line is 4.
\(\text{y-intercept} = 4\)Step-4: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (-2)x + (4) [m = -2; b = 4]Equation of green line: y = -2x + 4a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
Fine the volume of the shaded region.
a. 528 cu in
b. 942 cu in
c. 450 cu in
d. 109 cu in
Answer:
d☹HAHAHAHAHAHAHAHAHAHAHAHHAAHAHHAHAHAHAHAHAHAHAHAHAHAHAHAAHHAHAAHAHAHAHAHAHAHAHAHHAHA
Bobby posts an online video and sends it to three of his friends on a social media platform. After one minute passes, each of those friends shares the video with two of their friends. The process continues for a few minutes. Write a recursive process that represents the number of people who have received the video in n minutes
Answer:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
Step-by-step explanation:
Given
\(1\ minute = 3\ friends\)
Every other minute
\(Each\ friend = 2\ other\ friends\)
Required
Determine the recursive function
Let the number of minutes be represented with n.
The initial condition can be represented as:
\(n = 1\)
\(f(1) = 3\) --- i.e. 3 friends initially at the first minute
At every other minutes:
\(n \ge 2\) i.e 2 minutes upwards
This means that n follows the following sequence
\(n \to n, n -1, n -2,n -3, n - 4,.....,4,3,2\)
Note that the difference between each term is 1.
This means that recursive function has to be defined backwards i.e.
\(f(n) = f(n- 1) * k\)
Where k = 2
i.e. The number of friends that received the video from each friend
So, we have:
\(f(n) = f(n- 1) * 2\)
Hence, the recursive function is:
\(f(n) = f(n- 1) * 2\); \(f(1) = 3\)
PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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A news organization interested in chronicling winter holiday travel trends conducted a survey. Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays. Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays. Construct a 99% confidence interval for the difference in population proportions of people in the eastern half of a country who fly to visit family members for the winter holidays and people in the western half of a country who fly to visit family members for the winter holidays. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
Answer:
(-0.481 , -0.144)
Step-by-step explanation:
Confidence Interval for difference is proportion formula is given as:
p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]
For p1
Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays.
n1 = 96 people
p1 = x/n
x = 42 people
p1 = 42/96
= 0.4375
1 - p1 = 0.5625
For p2
Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.
n2 = 108 people
p2 = x/n
x = 81 people
p2 = 81/108
= 0.75
1 - p2 = 0.25
99% confidence interval = 2.576
p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]
= 0.4375 - 0.75 ± 2.576 ×√[0.4375(1 -0.4375)/96 +0.75 (1 - 0.75)/108]
= -0.3125 ± 2.576 × √0.4375× 0.5625/96 + 0.75 × 0.25 /108
= -0.3125 ± 2.576 × √0.0025634766 + 0.0017361111
= -0.3125 ± 2.576 × √0.0042995877
= -0.3125 ±2.576 × 0.0655712414
= -0.3125 ± 0.1689115178464
Confidence Interval
-0.3125 - 0.1689115178464
= -0.4814115178
Approximately to 3 decimal places = -0.481
= -0.3125 + 0.1689115178464
= -0.1435884822
Approximately to 3 decimal places = -0.144
Therefore, the 99% confidence interval for difference in proportion = (-0.481 , -0.144)
2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
The sum of -4 and the difference of 3 and 1