The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is [tex]1\frac{1}{24}[/tex] ft
How to find area of a rectangle?
A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.
Therefore,
area of rectangle = lw
where
l = lengthw = widthTherefore,
length = 1 2 / 3 = 5 / 3 ft
width = 5 / 8 ft
area = 5 / 3 × 5 / 8
area = 25 / 24 ft
area = [tex]1\frac{1}{24}[/tex] ft
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What is the center of a circle whose equation is x2 y2 4x – 8y 11 = 0?
The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).
What is a circle?
It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is x² + y² + 4x – 8y + 11 = 0
Add 9 on both sides of the equation, then we have
x² + y² + 4x – 8y + 11 + 9 = 9
x² + 4x + 4 + y² – 8y + 16 = 9
(x + 2)² + (y – 4)² = 3²
The center of the equation is (–2, 4).
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Answer:
A. (-2, 4)
Step-by-step explanation:
i did it B)
Find the area of the shaded region.
Group of answer choices
72
75
71
74
Answer:
72
Step-by-step explanation:
First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72
Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?
anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!
i am running out of time
Answer:
reflected image shown in red on attached diagram
Step-by-step explanation:
When reflecting an object in the line x = a:
reflected x-values: 2a - xreflected y-values are the same as the original y-valuesSo when reflecting in the line x = 1
given x-value = 2, so reflected x-value = 2(1) - 2 = 0given x-value = 4, so reflected x-value = 2(1) - 4 = -2(2, 7) → (0, 7)
(2, 4) → (0, 4)
(4, 4) → (-2, 4)
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no.is the correct answer.
What time will it take to obtain double of the interest on Rs. 2000 for 3 years at the rate of 15% per annum?
Answer:
6 years
Step-by-step explanation:
Given values :
Principal amount = Rs. 2000Time period = 3 yearsRate = 15% per annumTo Find :
Time taken to obtain twice the interestSolving :
First, find the interest.I = PrtI = 2000 x 0.15 x 3I = 6000 x 0.15I = Rs. 900 So twice the interest = Rs. 1800Now using the [I = Prt] formula,t = I/Prt = 1800/(2000 x 0.15)t = 1800 / 300t = 6 years(x^2-2x)(2x+3) is equivalent to expression
Answer:
[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]
Jim has some socks in two drawers. In one drawer he has 3 red and 6 green socks. In the other drawer he has 2 red and 2 green socks. If jim takes one sock out of each drawer, how probable is it that both will be red?
Answer:
5/6
Step-by-step explanation:
There are 5 steps to solving this problem:
Calculate the number of marbles in each drawerCalculate the fractional number of red marbles in each drawerThe answer is the number of red marbles in both drawers added together.Using these steps, we see that:
9 in the first drawer and 4 in the other drawer 3/9 or 1/3 of the socks in the first drawer are red, and 1/2 of the socks in the second drawer are redAdding 1/3 and 1/2 together equals 5/6Therefore, the answer is 5/6!Helen is having a birthday
party. Her friends arrive at
her house at 8:15 p.m. They
leave three hours later. What
time do Helen's friends leave?
Answer: 11:15 p.m 5:15 p.m.
Step-by-step explanation:
50 POINTS NEED HELP
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches
Hey so I have a question do u need to explain?
solve for the missing side
Answer: D
Step-by-step explanation:
HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Answer:
D. Volume
Explanation:
volume - amount of space that a substance occupiesHere the substance is soil and planter will hold the specific volume of soil.
which expression is equavilent to the epression -3(4x - 2) - 2x?
A. -8x
B. -16
C. -14 - 2
D. -14 + 6
Answer:
D
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 -2x
-14x + 6
ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
Answer:
hai
Step-by-step explanation:
Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi
dengan asumsi harga jam naik 2% / tahun. Future Value
Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi
dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present
value. Future value. Present value annuity.
Bunga di terima per bulan, dan tetap di gulung.
Ya Berapa yang dia tabung tiap bulan
-pakai tabel
Which expression has a value of 13? (2 points)
a
(20 ÷ 4) − 4 + 3 x 2
b
(18 ÷ 2) + 6 ÷ 6 + 3
c
(16 ÷ 4) + 3 x 4 − 1
d
(10 ÷ 2) − 3 + 4 x 2
Answer:
it is option B that is correct
Step-by-step explanation:
use BODMAS
B- Brackets
O-order
D-division
M-multiplication
Addition
Subtraction
You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?
Answer:
12.5 years = 216 months
Step-by-step explanation:
4% of 2000= $80
1000/80=12.5
It will take 12.5 years to make $1000 on its own without adding additonal funds.
What is the square root of 25
Answer: 5
Step-by-step explanation:
5*5 is equal to 25
Answer:
5
Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25
Can somebody please help this is due very soon
Your answer is
Slope = -1.000/2.000 = -0.500x-intercept = 7/1 = 7.00000y-intercept = 7/2 = 3.50000Step-by-step explanation:
When plotting an ordered pair, X comes before Y
Answer:
True
Step-by-step explanation:
I always remember it, over then up
1. Which best describes your ability to solve quadratic equations?
Answer:
you just have to do it yourself
From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.
To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?
7.4 m
4.8 m
4.1 m
3.4 m
Answer:
7.4 m it's because toes are yummy
Which of these would be a helpful first step in solving the equation? Check all
that apply.
8x-6 = 2x+ 24
A. subtract 6
U
B. subtract 2x
C. divide by 8
I D. add 6
E. subtract 30
Answer:
B. Subtract 2x
D. Add 6
Step-by-step explanation:
To solve this problem, isolate it by the term of x from one side of the equation.
8x-6=2x+24First, add by 6 from both sides.
[tex]\sf{8x-6+6=2x+24+6}[/tex]
Solve.
Add.
24+6=30
Rewrite the problem down.
[tex]\sf{8x=2x+30}[/tex]
You have to subtract by 2x from both sides.
[tex]\sf{8x-2x=2x+30-2x}[/tex]
Solve.
8x-2x=6x
Rewrite the problem down.
6x=30
Then, you divide by 6 from both sides.
6x/6=30/6
Solve.
Divide the numbers goes from left to right.
30/6=5
x=5
Therefore, the solution is x=5, which is our answer.
In the correct answer is B and D.
I hope this helps you! Let me know if my answer is wrong or not.
Solve for value and variable. Be sure to write a proportion
Please give full explanation that would be helpful.
Answer:
Step-by-step explanation:
Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.
[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]
8*(x + 12) = 22*5
8x + 8*12 = 110
8x + 96 = 110
8x = 110 - 96
8x = 14
x = 14/8
x = 1.75
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
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Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?
Answer:
1.5hours
Step-by-step explanation:
What is the constant of
proportionality? Explain what
it means.
Step-by-step explanation:
the ratio that relates two given values in what is known as a proportional relationship.
self explainatory
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
Please help with this question
Quadrilateral and Rhombus
Answer:
square ,rhombus, parallelogram
Step-by-step explanation:
please mark me as brainlest
If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?
The coefficient of determination is the ratio of the sum of squares regression and the ssy
The sum of squares regression is 27
How to determine the sum of squares?The given parameters are:
Coefficient of determination, R^2 = 0.12
SSy = 225
The coefficient of determination is calculated as:
R^2 = SSR/SSY
So, we have:
0.12 = SSR/225
Make SSR the subject
SSR = 0.12 * 225
Evaluate the product
SSR = 27
Hece, the sum of squares regression is 27
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The sum of squares regression is 27
What is the coefficient of determination?The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.
The coefficient of determination is calculated by using the following formula;
[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]
Hence, the sum of squares regression is 27.
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The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a triangular prism is given by:
Volume = Area of triangular base * height.
Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:
Volume = 15.2 * 9.7 = 147.44 in³
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
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Which parabola will have one real solution with the line y = x – 5? y = x2 x – 4 y = x2 2x – 1 y = x2 6x 9 y = x2 7x 4
System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
What is the discriminant in the quadratic equation?A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is ax² + bx + c = 0.
The quadratic equation formula for the solution of roots.
[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]
The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation
If D is greater than zero then the roots are real and distinct.
If D is equal to zero then the roots are real and equal.
If D is less than zero then the roots are imaginary and unequal.
y = x² + 7x + 4
From First option, System of equations
y = x² + x – 4
y = x – 5
So, x - 5 = x² + x – 4
x² + x – 4 - x + 5 = 0
x² + 1 = 0
discriminant = b²- 4×a×c
= 0²- 4×1×1
-4 < 0, therefore the equation has no real roots.
From Second option, System of equations
y = x² + 2x – 1
y = x – 5
So, x - 5 = x² + 2x – 1
x² + 2x - 1 - x + 5 = 0
x² + x + 4 = 0
discriminant = b²- 4×a×c
= 1²-4×1×4
-15 < 0 therefore, the equation has no real roots.
From Third option, System of equations
y = x² + 6x + 9
y = x – 5
So, x - 5 = x² + 6x + 9
x² + 6x + 9 - x + 5 = 0
x² + 5x + 4 = 0
discriminant = b²- 4×a×c
= 5²-4×1×4
9 > 0 therefore, the equation has two different real roots.
From Fourth option, System of equations
y = x² + 7x + 4
y = x – 5
So. x - 5 = x² + 7x + 4
x² + 7x + 4 - x + 5 = 0
x² + 6x + 9 = 0
discriminant = b²- 4×a×c
= 6²-4×1×9 = 0
0 therefore, the equation has one real root.
Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
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Answer:
D on edge
Step-by-step explanation: