Answer: The awnser is linear.
I hope this helped.
Step-by-step explanation:
30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
Answer:
30 : (5 - 2 + 7) = 3Step-by-step explanation:
30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
30 : (5 - 2 + 7) = 3
30 : (3 + 7) = 3
30 : 10 = 3
3 = 3
The midpoint of AB given A (3, -12) and B (-1, -2) is (x, y). What are the
values of x and y?
Answer:
(1, - 7 )
Step-by-step explanation:
using the midpoint formula
given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )
midpoint = ( [tex]\frac{3-1}{2}[/tex] , [tex]\frac{-12-2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (1, - 7 )
Step-by-step explanation:
[tex] x_{m} , y_{m} \: = ( \frac{x _{1} + x_{2} }{2} ,\frac{y _{1} + y_{2} }{2}) \\ [/tex]
x1 = 3, x2 = (-1)
y1 = (-12), y2 = (-2)
[tex] x_{m} , y_{m} \: = ( \frac{3+ ( - 1) }{2} ,\frac{( - 12)+ ( - 2) }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{3 - 1 }{2} ,\frac{( - 12) - 2 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{2 }{2} ,\frac{- 14 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = 1 ,( - 7)[/tex]
A principal of $3200 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 13 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51[/tex]
Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
can choose from the following designs listed below.. Which of the objects described requires the lea
amount of sheet metal? Assume that no sheet metal will be wasted in the construction. Explain why
your answer is correct and why other options are incorrect. (Show the volume of each described objer
in your explanation).
a) A rectangular prism with length 8 in., width 8 in., and height 5 in.
b) A rectangular prism with length 10 in., width 8 in., and height 4 in.
c) A cylinder with radius 5 in., and height 4 in.
d) A square pyramid with base length 10 in., height 10 in., and slant height about 14 in.
Answer:
cylinder, has the least surface area
Step-by-step explanation:
We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.
__
We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.
Rectangular PrismThe relevant formulas are ...
V = LWH
A = 2(LW +H(L +W))
for length L, width W, and height H.
a) prism 1
The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...
V = (8 in)(8 in)(5 in) = 320 in³
A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²
b) prism 2
The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...
V = (10 in)(8 in)(4 in) = 320 in³
A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²
__
CylinderThe relevant formulas are ...
V = πr²h
A = 2πr(r +h)
for radius r and height h.
c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...
V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³
A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²
__
Square PyramidThe relevant formulas are ...
V = 1/3s²h
A = s(s +2H)
for base side dimension s, vertical height h, and slant height H.
d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...
V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³
A = (10 in)(10 in + 2×14 in) = 380 in²
__
SummaryThe proposed figures have volume and area (rounded to the nearest unit) as follows:
[tex]\begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}[/tex]
The proposed cylinder requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.
_____
Additional comment
For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.
What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.
Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.
Measure of arc AC through point B = 180 degrees.
Arc AB = 180 - 80 = 100 degrees.
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Please help me i need this finish by the hour
Answer:
60
Step-by-step explanation:
Adnan began with a number. he divided his number by 2, subtracted 6 from the quotient, took the square root of the difference, added 1 to the square root, and took the square root of the sum. his final result was 3. what was adnan's original number
Answer:
140
Step-by-step explanation:
To solve this, we must reverse all the steps Adnan took to get the final number of 3.
If the last thing he did was take the square root, we need to square 3 to get the result. [tex]3x^{2} =9[/tex], so the sum they are referring to in the prompt is 9.
Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.
It says that he took the square root before that, so we need to square 8 to get [tex]8x^{2} =64[/tex].
It says that he subtracted 6 to get this number, so we have to add 6 to get[tex]64+6=70[/tex].
Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: [tex]70*2=140.[/tex]
Adnan's original number was 140.
Hope this helps! :)
Find the quadratic equation with integral coefficients having roots 6 and 2.
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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A rectangle is measured having side lengths 9.64\;\text{cm}9.64cm, correct to two decimal places, and 3.313\;\text{cm}3.313cm, correct to three decimal places. Estimate the area of the rectangle.
The area of the rectangle is 31.937 cm².
What is the area of the rectangle?A rectangle is a 2-dimensional quadrilateral with four right angles. A rectangle has two diagonals of equal length which bisect each other
Area of a rectangle = length x width
9.64 x 3.313 = 31.937 cm²
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A square has a perimeter of 36x - 12. Which expression represents one side of the
square?
Answer:
9x - 3
Step-by-step explanation:
Hello!
A square has 4 sides.
We can factor out 4 from the expression to find the value of one side.
Factor:
36x - 124(9x) - 4(3)4(9x - 3)This means that each side of the square is 9x - 3 units long.
If f(x) = |x| + 9 and g(x) = -6, which describes the range of (f+g)(x)
The range exist on all real values. This can be written as (-infty, infty)
Range of a functionThe range is the value of the dependent variable for which it exists. Given the following functions
f(x) = |x| + 9 and;
g(x) = -6
Determine the sum
(f+g)(x) = |x| + 9 + (-6)
(f+g)(x) = |x| + 9 -6
(f+g)(x) = |x| + 3
Determine the range of the function
The range exist on all real values. This can be written as (-infty, infty)
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PLEASE HELP find the arch shown in red leave your answer in terms of pi
Answer:
Answer:1296π
Step-by-step explanation:
As we know,
Area of cicle=πr^2
= π(36)^2
=1296π
What is the area of the figure? The figure is not drawn to scale.
05.1 cm²
011.7 cm²
027.72 cm²
O55.44 cm²
Answer:
27.72 cm^2
Step-by-step explanation:
Parallelogram's area = base x height
= 3.3 x 8.4
= 27.72 cm^2
Drag each tile to the correct box.
A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.
maximum
minimum
Q3
Q1
median
< < <
The five-number summary as displayed in a box plot attached below, from the least to the greatest is: Minimum < Q1 < Median < Q3 < Maximum
What is the Five-number Summary?The five-number summary can be described as a set of data points or values that summarizes the distribution of a data.
The diagram attached below shows the five-number summary as displayed by a box plot.
From the least to the greatest, the five-number summary consist of:
Minimum < Q1 < Median < Q3 < Maximum
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−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=
Answer:
X=1 and Y=4
By counting eacht vetmrtical divided units
4. Mr. A has 3 acres of land. He gave 1 % acres of land to his friend. How many acres of land does Mr. A have now?
Answer:
1% given away means 1/100 × 3= 0.03
therfore what is left is : 3-0.03= 0.97
Answer:
1% means 1/100, so 1% of 3 acres of land = 1/100×3 = 3/100 or 0.03 acres of land. Since he gave 0.03 acres of land away, Mr A has 3-0.03 = 2.97 acres of land
There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week?
The probability that he does not wait for more than five minutes all 5 days this week is 0.16807
How to determine the probability?The probability that he waits for more than 5 minutes is:
p = 30%
This means that the probability that he does not wait for more than 5 minutes is
q = 70%
If he does not wait for more than five minutes all 5 days this week, the probability is:
P = q^5
This gives
P = (70%)^5
Evaluate
P = 0.16807
Hence, the probability that he does not wait for more than five minutes all 5 days this week is 0.16807
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30 In right triangle PRT, m/P = 90°, altitude PQ is drawn to hypotenuse RT. RT = 17, and
PR = 15.
Determine and state, to the nearest tenth, the length of RQ
Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.
What is the Cosine Ratio Formula?The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.
Find m∠PRT in ΔPRT using the cosine ratio formula:
cos(m∠PRT) = 15/17
m∠PRT = cos^(-1)(15/17)
m∠PRT ≈ 28.07°
Find RQ in ΔPRQ using the cosine ratio formula:
cos(28.07) = RQ/15
RQ = cos(28.07) × 15
RQ ≈ 13.2
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Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the green common factor for the 3rd and 4th train car: . note: the answers are intermediary steps. do not enter the final step or factored form, but this question is asking what is the intermediate step as the answer.
2x^2 + 4x + 3xy + 6y
enter your answer in the boxes.
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
How to factor the polynomial?The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
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Answer:
Step-by-step explanation:
ans in picture
Given mn, find the value of x.
(7x-7)°
(6x+11)°
Answer:
x = 18
Step-by-step explanation:
the 2 angles are alternate exterior angles and are congruent, then
7x - 7 = 6x + 11 ( subtract 6x from both sides )
x - 7 = 11 ( add 7 to both sides )
x = 18
Answer:
18
Step-by-step explanation:
(7x-7)° = (6x+11)°------ (alternate exterior angles are equal)
Alternate exterior angles are the pair of angles that are located on the outer side of the parallel lines but on either side of the transversal.therefore,
7x-7= 6x+11
collect like terms
7x-6x = 11+7
x = 18
could someone please answer this will give brainliest
Evaluate the expression.
3
5
–
2
5
×
1
2
Write your answer as a fraction or as a whole or mixed number.
pls help need answer will mark brainiest
Answer:
because 3 and 5 the answer is 17
Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C
Answer:
see the attachment photo!
just comment here if you need help
The best description about the line AD is,
⇒ Perpendicular bisector
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now, We have by figure;
BD = 17
DC = 17
Hence, We can say that;
Line AD is Perpendicular bisector of line BC.
Thus, The best description about the line AD is,
⇒ Perpendicular bisector
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8. What value of n makes the equation below have
infinitely many solutions?
-2(6x+2)=nx-4
Answer:
[tex]n=-12[/tex]
Step-by-step explanation:
[tex]\text{When}~ n = -12,\\\\~~~~~-2(6x+2) = -12x-4\\\\\implies -12x -4 = -12x -4 \\\\\text{Since both sides are equal for all values of x, there are infinitely many solutions.}[/tex]
Simplify the expression.
8 -4
x y
x−6y-6
Write your answer without negative exponents.
Enter the correct answer
Answer:
8 - 4x^2y - 6y^6
Step-by-step explanation:
pleaseeee help me out
Answer:
78
Step-by-step explanation:
QT is a 180 straight line so 180-55-47
Hope its right!
Answer:
U-60
S-90
Q-80
ur welcome
A step function h(x) is represented by y = -2Lx] Which phrase best describes the range of the function h(x)?
all real numbers
all rational numbers
all negative integers
The phrase best describes the range of the function h(x) is option A: all real numbers.
What is a range of a function?The range is the set of all values which the given function can output.
A step function h(x) is represented by y = -2|x|.
The mode of x gives the real number every time by putting the values.
The phrase best describes the range of the function h(x) is option A: all real numbers.
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what is the simple interest of $16000 interested for 5 years at 4% p.a?
Answer:
3200
Step-by-step explanation:
Simple interest = PRT/100
= (16000 × 5 × 4%\)/100
= 320000/100
= 3200
ABCD is a quadrilateral
a) calculate the value of x.
b) when ABCD is drawn to scale would the lines be parrallel or not?
PLEASE ANSWER THE PHOTO, BELLOW ILL GIVE HIGH RANK TYSM :}}}}}PLEASE MAKE SURE THEY ARE CORRECT :DDD
Answer:
a) 15:7
b) 1950 ml
c) There were 10 people in the group
Step-by-step explanation:
a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.
b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.
c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.