Answer:
712.5
Step-by-step explanation:
The length of the rectangle is 87.1 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that a rectangular yard has a width that is 1/2 times its length and an area of 3800 square feet.
Length = L
Width = W
Given that
W = 1/2 L
Area = 3800 square feet
The area of the rectangle = length × Width
3800 = L x 1/2 L
L² = 7600
L = 87.1 feet
Thus, the length of the rectangle is 87.1 feet
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a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
Answer:
y = -3/4x + 3
Step-by-step explanation:
y - 9 = -3/4 (x-8)
y-9 = -3/4x -6
y = -3/4x - 6 + 9
y = -3/4x + 3
The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]
The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:
y - y₁ = m(x - x₁)
For the line that passed through the point (8, 9) and has a slope of -3/4
x₁ = 8, y₁ = 9, and m = -3/4
Substitute these values into the equation y - y₁ = m(x - x₁)
[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]
Express the equation above in the form y = mx + c
[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]
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What is blank divided by 9 equals 5
Answer:
45 divided by 9 equals 5
Step-by-step explanation:
What two numbers multiplies to 16 and adds to -17?
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x
Final answer:
The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.
Explanation:
First, let's state the degree and identify the term with the greatest degree.
The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.So, in summary:
1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.
2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.
Solve using substitution:
y = -3x + 5
5x - 4y = -3
Answer:
x = 1 y = 2
Step-by-step explanation:
5x - 4y = -3
5x - 4 (-3x + 5) = -3
5x + 12x - 20 = -3
17x - 20 + 20 = -3 + 20
17x = 17 ÷ 17
x = 1
y = -3x + 5
y = -3 (1) + 5
y = -3 + 5
y = 2
What is the difference between the lowest
temperature and the highest?
Time Temperature
Midnight. -6°C
4 am - 8°C
8 am -4°C
noon 7°C
3 pm 6°C
7 pm -2°C
Answer:
14
Step-by-step explanation:
highest temperature = 6°c
lowest temperature = -8°c
difference = 6-(-8)
14
The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.
Explanation:The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.
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3.) Slopes of parallel/perpendicular lines
FIND THE SLOPE OF THE GIVEN LINE
b.) What is the slope of the line parallel to the line in Part A above? How do you know? What is the relationship between lines that are parallel?
c.) What is the slope of the line perpendicular to the line in Part A above? How do you know? What is the relationship between lines that are perpendicular?
1. Slope of given line = -1/2
2. Slope of line parallel to given line = -1/2
3. Slope of line perpendicular to given line = 2
Step-by-step explanation:
1. Slope of Given line:
We can see that there are two points on the line(highlighted by dots)
Let the two points be (x1,y1) and (x2,y2)
Then
(x1,y1) = (2,2)
(x2,y2) = (-2,4)
The formula for slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]
Hence, the slope of given line is -1/2
2. Slope of line parallel to given line
Let [tex]m_1[/tex] be the slope of the line parallel to given line.
The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.
So,
[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]
Hence,
The slope of line parallel to given line will also be -1/2
3. Slope of line perpendicular to given line:
Let m_2 be the slope of line perpendicular to given line
The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"
So,
[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]
Hence,
The slope of line perpendicular to given line is: 2
Keywords: slope, parallel lines
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Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?
Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.
Hope this helps, if not, comment below please!!!
Answer:
The answer is 14.
Step-by-step explanation
33-5=28
28/2=14
PLEASE HELPPPP WITH THIS
Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
slope = y2-y1/x2-x1
1 -3 . 3 1
(1 - (-3))/(3-1)
4/2
2
Slope = 2
y = mx + b
y = 2x -5
-5x = -2x - 3
What dose x equal
Answer:1
Step-by-step explanation:
-5x=-2x-3
-5x+2x=-3
-3x=-3
X=1
Answer:
X=3/7
Step-by-step explanation:
What is the simplest form for 28 out of 32
Answer:
7/8 decimal form: 0.875
Step-by-step explanation:
28 4
---- ÷ ---- = 7/8
32 4
Torique calculates that a weekend is 48 hours long and that he sleeps for 16 hours each weekend, 1/3 of the weekend. What fraction of each weekend does Tyrique spend awake? What percent represents that fraction?
Final answer:
Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.
Explanation:
Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.
Total hours in a weekend: 48 hours
Sleeping hours: 16 hours
Awake hours: 48 hours - 16 hours = 32 hours
Now, we convert 32 hours to a fraction of the weekend.
Awake fraction: 32 hours / 48 hours = 2/3 of the weekend
Next, we convert this fraction to a percentage.
Awake percentage: (2/3) × 100 = 66.67%
Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.
test patti green and her husband are purchasing a condominium for $123000. They have $15000 for a down payment. what is the amount of their mortgage loan?
Answer:
there amount would be 108,000
Step-by-step explanation:
um...
123,000 - 15,000
= 108,000
give me brainly :)
what type of function is f(x)3^(-2x)
Answer:
exponential function
Step-by-step explanation:
Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually
What is the balance of Albert’s $2000 after 10 years?
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
which could be the function graphed below
Answer: A on Edge 2020
Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me
Answer:
a
Step-by-step explanation:
How much food can this container hold? Express your answer in terms of pi
Answer:
the container can hold 84.82 inches of food.
Step-by-step explanation:
radius = 3 in
height = 9 in
Volume of a cone = 1/3πr²h
= 1/3π(3)²(9)
= 27π in³
= 84.82 in
I hope this help!
brainliest is appreciated... :}
Answer:
It’s 27 if your talking about I-ready
Step-by-step explanation:
A person standing d = 144 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 13°, while the angle of elevation to the top of the mirror is b = 12°. Find the vertical dimension of the mirror. (Round your answer to the nearest whole number.)
Answer:
13.42
Step-by-step explanation:
2/3xd=10/9 what is d
Answer:d=5/3x
Step-by-step explanation:
Let's solve for d.
(2/3x)(d)=10/9
Step 1: Divide both sides by (2x)/3.
2/3dx / 2x/3=10/9 / 2x/3
d=5/3x
To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.
Explanation:To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:
d = (10/9) * (3/2) = 30/18 = 5/3
Therefore, d = 5/3 or d ≈ 1.67.
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Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Answer: The speed of the faster lane is 800 km/hour and the slower plane is 600 km/hour
Step-by-step explanation:
The speed of the faster plane is 800 km/h and the speed of the slower plane is 600 km/h.
The given parameters:
Distance traveled by both planes, d = 3600 km
Let the speed of the faster plane = vThe speed of the slower plane, u = v - 200 km/hLet the time taken for the faster plane = t hoursTime taken for the slower plane to arrive = t + 1.5 hours
The distance traveled by both planes is the same;
d = u(t + 1.5) ---(1)
d = (v - 200) (t + 1.5)
3600 = vt + 1.5v - 200t - 300
d = vt ----(2)
3600 = vt
[tex]v = \frac{3600}{t}[/tex]
[tex]3600 = \frac{3600}{t} t \ +\ 1.5 (\frac{3600}{t} ) \ - \ 200 t - 300\\\\3600 = 3600 + \frac{5400}{t} - 200t - 300\\\\300 = \frac{5400}{t} - 200t\\\\300t = 5400 - 200t^2\\\\200t^2 +300t - 5400 = 0\\\\2t^2 + 3t- 54= 0\\\\(2t - 9)(t + 6)= 0\\\\t = 4.5 \ \ or \ \ -6 \ \\\\t = 4.5 \ hours[/tex]
The speed of the faster plane is calculated as;
[tex]v = \frac{3600}{t} \\\\v = \frac{3600}{4.5} \\\\v = 800 \ km/h[/tex]
The speed of the slower plane is calculated as follows;
[tex]u = v- 200\\\\u = 800 - 200\\\\u = 600 \ km/h[/tex]
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If bob washed the car in 6 minutes and jack washed it in 8 minutes how long did it take them together
Answer:
14 minutes
Step-by-step explanation:
8 + 6 = 14
The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?
1/9 pints of milk can be added by a customer
Step-by-step explanation:
We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee
Given
Total Capacity of a cup = 7/9 pints
Coffee to be added in a cup = 2/3 pints
So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.
So,
[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]
Hence,
1/9 pints of milk can be added by a customer
Keywords: Fractions, addition
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Amount of milk add by customer is 1/9 pint of liquid
Given that;
Holding capacity of cup = 7/9 pint of liquid
Liquid fill by Emily = 2/3 pint of liquid
Find:
Amount of milk add by customer
Computation:
Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily
[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]
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which of the following is equivalent to log9w
what do you meanAnswer:
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Did the 2020 edge quiz
airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?
There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.
Let's define the number of first class passengers as x and the number of tourist class passengers as y.
We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360
We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12
So, there are 12 first class passengers.
Using y = 52 - x, we find:
y = 52 - 12 = 40
Thus, there are 40 tourist class passengers.
PLEASE HELP ME!!!
Ms. Grady has 150 pictures in an album. Of these pictures, 48 show her friends, 24 show her family, and 78 show
only Ms. Grady. Ms. Grady is in of the pictures that show her friends and of the pictures that show her family.
Based on this information, which statement is true?
a. The probability of randomly selecting a picture that shows Ms. Grady is 76%.
The probability of randomly selecting a picture that shows Ms. Grady with her friends is greater than the
probability of randomly selecting a picture that shows Ms. Grady with her family.
The probability of randomly selecting a picture that does not show Ms. Grady is 52%.
d. The probability of randomly selecting a picture that shows Ms. Grady with her family is 3 times the
probability of randomly selecting a picture that shows only her friends.
Answer:
B
Step-by-step explanation:
the others wouldn't make seans
4m is greater or less then 400 dm
Answer:
greater
Step-by-step explanation:
| 2.) Are the two expressions below equal?
4a + 4a + 3a and 7a + 3a
Please help
Answer:
21a
Step-by-step explanation:
yes they are equal.. all you need is just to add all the number to get your answer!
Answer:
21a
Step-by-step explanation:
because ,
4a+4a+3a =11a
and 7a+3a=10a
and they are equal so what you need is that
just to add them and for maths (and) means addition ..... so therefore the answer is 21a
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
O y=2x-2
y=. 2x+ 2
Oy=2x+2
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts
m = [tex]\frac{2-0}{0+1}[/tex] = 2
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = 2x + 2 ← equation of line
add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3
Answer:
A. -x^2-13x+15
Step-by-step explanation:
-4x^2 + 3x^2 = -x^2
-8x + -5x = -13x
6 + 9 = 15
-x^2-13x+15
According to the graph, what is the value of the constant in the equation
below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width
Answer:
The value of the constant is 3
Step-by-step explanation:
Let
y ----> the height
x ----> the width
we have
[tex]y=kx[/tex]
This is the equation of a linear direct variation
The equation of the line passes through the origin
we have the points
(0.5,1.5), (2,6) and (3,9)
see the attached figure to better understand the problem
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]
For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]
For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]
therefore
The value of k is equal to 3
The linear equation is
[tex]y=3x[/tex]
or
[tex]Height=3Width[/tex]
Answer:
I had done this on A P E X and it said it was 80