the figure is cut into 8 pieces.
shade 1/2 of the figure
You have to shade 4 boxes of the figure.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given is a box with 8 parts of it,
1/2 of 8 = 8*1/2 = 4
Hence, You have to shade 4 boxes of the figure.
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Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D
explain briefly. in your own words.
Rational and irrational numbers.
give examples.
exponential equation.
rational numbers are numbers which can be expressed in fraction form whereas irrational is just opposite
Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by .
Select the correct answer.
This table defines a function.
Х
13
16
7
21
10
30
y
39
48
Which table represents the inverse of the function defined above?
Answer:
B.
Step-by-step explanation:
To get the inverse of the function defined by the table given, all you need to do is to interchange the coordinate pairs.
That is, the coordinates pair on a table that defines a function is usually given as (x, y). The inverse of the function would be (y, x).
The following are the coordinate pairs given and the inverse of the function represented:
(x, y) => inverse = (y, x)
(7, 21) => inverse = (21, 7)
(10, 30) => inverse = (30, 10)
(13, 39) => inverse = (39, 13)
(16, 48) => inverse = (48, 16)
The table that represents the inverse of the function given in the question is option B
If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number? 1 2 6 15
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
[tex]\sqrt[3]{\frac{144}{y} }[/tex]
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:
[tex]y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152[/tex]
Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
Answer:it’s b
Step-by-step explanation:
Just took quiz on edge 2020
NEED HELP ASAP WILL AWARD BRAINLIEST!!!!!
Answer: 69
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
4x-2
Step-by-step explanation:
4x(3x+5)-2(3x+5)
(4x-2)(3x+5)
you can see that 4x-2 is a factor
Graph the line that represents this equation 3x - 4y = 8
The graph of the given linear equation can be seen at the end.
How to graph the line?
Here we have the linear equation:
3x - 4y = 8
Isolating, y, we can rewrite:
-3x + 4y = -8
4y = -8 + 3x
y = (-8 + 3x)/4
y = (3/4)*x - 2
Now, we can evaluate the line in two values of x, so we can get two points on the line.
Evaluating in x = 0 and x = 4 we get:
if x = 0
y = (3/4)*0 - 2 = -2
So we have the point (0, -2)
If x = 4 we get:
y = (3/4)*4 - 2 = 1
Then we have the point (4, 1).
Now we can graph these two points and connect them with a line, that is the graph of the linear equation.
The graph can be seen below.
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22. A parallelogram in which one angle 90° is necessarily:
A. Square
B. rhombus C. rectangle
D.trapezium
Answer:
C. Rectangle
Step-by-step explanation:
A parallelogram can not have a single 90° angle. This is because the opposite angles of a parallelogram are equal.
Therefore, the two opposite sides are equal.
In a parallelogram, neighboring angles add up to 180°. This therefore implies that all the angles are 90°.
This describes a rectangle.
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of .
Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer:
384pi inches hop it halp!!!
Step-by-step explanation:
please help with q 3, 4, 5 thnx!
Answer:
3. 7/12.
4. 7/5.
5. 1.
Step-by-step explanation:
The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:
Slope = Δy /Δx
Δy = y2 – y1
Δx = x2 – x1
With the above formula in mind, let us answer the questions given above.
3. Point => (–8, –2) (4, 5)
x1 = –8
x2 = 4
Δx = x2 – x1
Δx = 4 – –8
Δx = 4 + 8
Δx = 12
y1 = –2
y2 = 5
Δy = y2 – y1
Δy = 5 – – 2
Δy = 5 + 2
Δy = 7
Slope = Δy /Δx
Slope = 7/12
4. Point => (3, –5) (8, 2)
x1 = 3
x2 = 8
Δx = 8 – 3
Δx = 5
y1 = –5
y2 = 2
Δy = y2 – y1
Δy = 2 – – 5
Δy = 2 + 5
Δy = 7
Slope = Δy /Δx
Slope = 7/5
5. Point => (–4, –5) (4, 3)
x1 = –4
x2 = 4
Δx = x2 – x1
Δx = 4 – –4
Δx = 4 + 4
Δx = 8
y1 = –5
y2 = 3
Δy = y2 – y1
Δy = 3 – – 5
Δy = 3 + 5
Δy = 8
Slope = Δy /Δx
Slope = 8/8
Slope = 1
PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula
[tex]A(t)=P(1+\frac{r}{n})^{(n)(t)}[/tex]
Here's what we have:
The amount after a certain time that she has in the bank is 4672.12; that's A(t).
The interest rate in decimal form is .18; that's r.
The number of times the interest compounds is 12; that's n
and the time that the money is invested is 3.5 years; that's t.
Filling all that into the formula:
[tex]4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}[/tex] Simplifying it down a bit:
[tex]4672.12=P(1.015)^{42}[/tex] Raise 1.015 to the 42nd power to get
4672.12 = P(1.868847115) and divide to get P alone:
P = 2500.00
She invested $2500.00 initially.
Is y = 75 x + 52 increasing or decreasing.
Answer:
Increasing if X is positive decreasnig if X is negative
Step-by-step explanation:
Answer:
increasing
Step-by-step explanation:
positive slope of 75 so line goes up to the right
A chemist is mixing two solutions, solution A and solution B. Solution A is 15% water and solution Bis 20% water. She already has a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Answer:
15 ml
Step-by-step explanation:
We are told
Solution A = 15% of water
Solution B = 20% of water
Let's assume, the entire solution = 100ml
We are told that in the beaker we have 10 ml of Solution A already
Mathematically,
100 ml = 15%
10 ml = X
100ml × X = 15 × 10
X = 150/ 100
X = 1.5%
Hence in the beaker, we have 1.5% of water from Solution A
We are asked to find how many ml of solution B must be added to make the solution have 18% of water
Let y = number of ml of solution B
Hence
10 ml × 15%(0.15) = 1.5 ml of water - Equation 1
y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2
Add up the above equation
10ml + y ml ×18% (0.18) = 1.5 + 0.20y
(10 + y)(0.18) = 1.5 + 0.20y
1.8 + 0.18y = 1.5 + 0.20y
Collect like terms
1.8 - 1.5 = 0.20y - 0.18y
0.3 = 0.02y
y = 0.3/0.02
y = 15ml
Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water
Isosceles trapezoid ABCD is inscribed in ⊙O with radius 5. AD=6 and the median of ABCD has length 7. Find the distance from AD to BC. this was the only info given!
Answer:
The distance from AD to BC is 7
Step-by-step explanation:
The information given are;
The type of inscribed quadrilateral ABCD = Isosceles trapezoid
The radius of the circle = 5
Segment AD of ABCD = 6
The median of the trapezoid ABCD = 7
Given the trapezoid theorem, the median is equal to half the length of the two bases added together, we have;
(AD + BC)/2 = 7
Which gives;
(6 + BC)/2 = 7
BC = 7×2 - 6 = 8
Therefore the distance from AD to BC is given by the distance from BC to the median line added to the distance from AD to the median line given as follows;
The distance from BC to the median = √(Radius² - (BC/2)²) = √(5² - (8/2)²) = 3
The distance from BC to the median = 3
The distance from AD to the median = √(Radius² - (AD/2)²) = √(5² - (6/2)²) = 4
Which gives;
The distance from AD to BC = 3 + 4 = 7
An expression is given -6m+9n-12
Answer -3(2m-3n+4)
Step-by-step explanation:
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50 cm. Find the lengths of all sides.
Answer:
The base is 10cm. The other two sides are 20cm each
Step-by-step explanation:
I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.
Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to
5x=50. Then divide both sides by 5 to get the results:
x=10 for the base and
2x=20 for the other two sides.
Simplify [tex]$\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$[/tex] $\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$
Answer:
[tex]3 -\sqrt[2]3[/tex]
Step-by-step explanation:
Given
[tex]\frac{2\sqrt[3]{9}}{1 + \sqrt[3]{3} + \sqrt[3]{9}}[/tex]
Required
Simplify
Rewrite the given expression in index form
[tex]\frac{2 * 9 ^\frac{1}{3}}{1 + 3^{\frac{1}{3}} + 9^{\frac{1}{3}}}[/tex]
Express 9 as 3²
[tex]\frac{2 * 3^2^*^\frac{1}{3}}{1 + 3^{\frac{1}{3}} + 3^2^*^{\frac{1}{3}}}[/tex]
[tex]\frac{2 * 3^\frac{2}{3}}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}}}[/tex]
Multiply the numerator and denominator by [tex]1 - 3^{\frac{1}{3}}[/tex]
[tex]\frac{2 * 3^\frac{2}{3}}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}}} * \frac{1 - 3^{\frac{1}{3}}}{1 - 3^{\frac{1}{3}}}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) (1 - 3^{\frac{1}{3}})}{(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})(1 - 3^{\frac{1}{3}})}[/tex]
Open the bracket
[tex]\frac{2 (3^\frac{2}{3}) -2 (3^\frac{2}{3})(3^{\frac{1}{3}})}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}}(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})}[/tex]
Simplify the Numerator using Laws of Indices
[tex]\frac{2 (3^\frac{2}{3}) -2 (3^\frac{2+1}{3})}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}}(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})}[/tex]
Further Simplify
[tex]\frac{2 (3^\frac{2}{3}) -2 (3^\frac{3}{3})}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}}(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3^1)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}}(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}}(1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}})}[/tex]
Simplify the denominator
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}} - (3^{\frac{1}{3}})(3^{\frac{1}{3}}) - (3^{\frac{1}{3}})(3^{\frac{2}{3}})}[/tex]
Further Simplify Using Laws of Indices
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}} - (3^{\frac{1+1}{3}}) - (3^{\frac{1+2}{3}})}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}} - 3^{\frac{2}{3}} - 3^{\frac{3}{3}}}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}} - 3^{\frac{2}{3}} - 3^1}}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 + 3^{\frac{1}{3}} + 3^{\frac{2}{3}} - 3^{\frac{1}{3}} - 3^{\frac{2}{3}} - 3}}[/tex]
Collect Like Terms
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{1 - 3+ 3^{\frac{1}{3}} - 3^{\frac{1}{3}}+ 3^{\frac{2}{3}} - 3^{\frac{2}{3}} }}[/tex]
Group Like Terms for Clarity
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{(1 - 3) + (3^{\frac{1}{3}} - 3^{\frac{1}{3}}) + (3^{\frac{2}{3}} - 3^{\frac{2}{3}} )}}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{(- 2)+ (0) + (0)}}[/tex]
[tex]\frac{2 (3^\frac{2}{3}) -2 (3)}{-2}}[/tex]
Divide the fraction
[tex]-(3^\frac{2}{3}) + (3)[/tex]
Reorder the above expression
[tex]3 -3^\frac{2}{3}[/tex]
The expression can be represented as
[tex]3 -\sqrt[2]3[/tex]
Hence;
[tex]\frac{2\sqrt[3]{9}}{1 + \sqrt[3]{3} + \sqrt[3]{9}}[/tex] when simplified is equivalent to [tex]3 -\sqrt[2]3[/tex]
If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft.
Answer:
The distance between the plane and the observer is 16,659.18ft
Step-by-step explanation:
Complete question:
(An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft, what is the distance between the observer and the plane)
Hello,
The question above requires us to find the distance between an observer and a plane. This is very much easy because we are given the angle at which the observer makes with the plane. To solve this question correctly, we need a pictorial representation of the situation.
See attached document for better illustration
In the diagram, we need to find x.
Since the observer and the plane makes a right angled triangle with the distance apart them, we can use SOHCAHTOA
In this case, we have to use Tangent
Tanθ = opposite/ adjacent
θ = 42°
Opposite = 15,000
Adjacent = x
Tan42 = 15000 / x
x = 15000 / tan42
x = 15000 / 0.90
x = 16,659.18ft
The horizontal distance between the observer and the plane is 16,659.18ft
Answer:
I am not too sure but I know it is not 10,035, or 16,648, nor 20,188 because I put that and it wasn’t right so the last option would be.
22,417
Please answer in two minutes
Answer:
Toa
48/55
Step-by-step explanation:
O/A
48/55
Use the zero product property to find the solutions to the equation 2x2 + x - 1 = 2
a) x= -1/2 or x =2
b) x= -2 or x =1/2
c) x= -3/2 or x =1
d) x= 1 or x= 3/2
Answer:
C
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
Find P(Not a 2).
I need help with this one
Answer:
0.60
Step-by-step explanation:
find the probability it is a 2:
0.40 / 1 = 0.4 or 40%
find the probability it isn't a 2:
1 - 0.4 = 0.6
Answer:
A. 0.60
Step-by-step explanation:
I did geometry last year. My teacher assigned it to us.
Hope this helps :)
What is the length of the line?
Answer:
[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]
Step-by-step explanation:
The line can be made into a hypotenuse of a right triangle.
Find the length of the base and the height of the right triangle.
The base (leg) is 6 units.
The height (leg) is 5 units.
Apply Pythagorean theorem.
[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]
[tex]\sf c=\sqrt{36+25 }[/tex]
[tex]c=\sqrt{61}[/tex]
Answer:
[tex] \sqrt{61} [/tex]Option B is the correct option
Step-by-step explanation:
Assuming center of co-ordinate axes at lower left corner at the line. So end points are:
( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )
Distance between two points is given by formula:
D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]
[tex] = \sqrt{36 + 25} [/tex]
[tex] = \sqrt{61} [/tex]
Hope this helps..
Best regards!!
if OA= 3 & AB= 2 what is the ratio of the circumference of the smaller circle to the circumference of the larger circle
Answer:
(B) 3/5
Step-by-step explanation:
In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?
(A) 2/3
(B) 3/5
(C) 9/16
(D) 1/2
(E) 4/9
Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:
Circumference = 2 π r. Where r is the radius of the circle.
The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5
Circumference of the bigger circle = 2 π (5) = 10π
The radius of the smaller circle = length of OA = 3
Circumference of the smaller circle = 2 π (3) = 6π
The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5
find the value of x in the triangle shown below
Answer:
46°
Step-by-step explanation:
We can tell that this triangle is an isosceles triangle because 2 of it's sides are the same, therefore, two of it's angles are the same.
Looking at it, we can assume that the two angles not defined (x and the other one) are the two angles that are the same because they look similar.
Now, the angles of all triangles add up to 180°. So, we can subtract 88° from 180 to see what the two angles add up to.
[tex]180-88=92[/tex]
So both of these angles add up to 92 degrees. Since there are two, we divide 92 by 2.
[tex]92 \div 2 = 46[/tex]
Hope this helped!
simplify
[tex](xy) ^{ - 1} [/tex]
Answer:
Below
Step-by-step explanation:
●(xy)^(-1)
● x^(-1) * y^(-1)
● (1/x)*(1/y)
● 1/xy
The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2
Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
Step 2 is wrong.
2(y + 4) = 4y
The step to solve is to expand brackets or distribute 2, not divide both sides by 2.
2y + 8 = 4y
Subtract both sides by 2y.
8 = 2y
Divide both sides by 2.
4 = y
In one month, the median home price in the Northeast rose from $225,400 to $241,500. Find the percent increase. Round your answer to the nearest tenth of a percent.
Answer:
7.1%
The percentage increase is 7.1%
Step-by-step explanation:
Percentage increase %∆P is the percentage change in the price.
Percentage increase %∆P = ∆P/Pr × 100%
Where;
∆P = change in sales price = $241,500-$225,400
Pr = regular price = $225,400
Substituting the given values;
%∆P = (241,500-225,400)/225,400 × 100%
%∆P = 7.142857142857% = 7.1%
The percentage increase is 7.1%
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°