The relationship between dollars delivered and rand received represents a function.
What is a function?Corresponds to a mathematical relationship between two variables, x and y, where the set of x values is associated with a y value. Being expressed by the formula:
y = f(x)Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.
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Does anybody know this? I got told it was the third option but it was wrong.Find the area of the shaded sector use 3.14 for pi
Answer:
B) 35.4 ft²
Step-by-step explanation:
Area of a sector
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 110°r = 6 ft[tex]\pi[/tex] = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{110^{\circ}}{360^{\circ}}\right) \cdot3.14 \cdot 6^2\\\\& =\left(\dfrac{11}{36}}\right) \cdot3.14 \cdot 36\\\\& =34.54\\\\ & = 35.4\: \sf ft^2 \: (nearest\:tenth)\end{aligned}[/tex]
Hi Student!
Looking at the problem, we first need to determine the important information that is given to us. We can see that we are given a radius of 6 feet and a central angle of 110 degrees. We will need to use both of these given values in our problem.
The second step that we need to take, after gathering our information, is to convert our degrees to radians. The purpose of this is because in our formula we must use radians instead of degrees. To convert degrees to radians, we multiply it by π/180.
[tex]110\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]
[tex]1.919[/tex]
Now that we have our angle converted to radians, we can plug our information into the formula and solve.
[tex]Sector\ Area = r^2\ *\ \frac{angle}{2}[/tex]
[tex]Sector\ Area = (6\ ft)^2\ *\ \frac{1.919}{2}[/tex]
[tex]Sector\ Area = 36\ ft^2\ *\ 0.9595[/tex]
[tex]Sector\ Area = 34.542\ ft^2[/tex]
Therefore, after solving the entire equation down to the end, we can see that our answer is 34.542 feet squared. This matches option B which would be our answer.
Surface Area
For the two figures below, the base area and the heights have been provided.
Figure A
Figure B
4 cm
5 cm
25 cm?
20 cm
what the volume for both figures?
Answer:
V of both A and B is 100 cm³
Step-by-step explanation:
the volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A
A = 20 and h = 5 , then
V = 20 × 5 = 100 cm³
B
A = 25 and h = 4 , then
V = 25 × 4 = 100 cm³
the lenght of a rectangle is x+5 and it,s breath is x-5the areas of a rectangle is is x raise to the power of 2-x-15 is it true or false?
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
#1
The line should start just over origin
Line 2 is best fit as it will contain most dots on both sides#2
Line should step downwards to contain moSt dots
Line no 6#3
Quite above origin and half steadier (angle about 30-45)
Line 4#4
Almost staright line and almost parallel to x axis
Line 3Point P has the coordinates (−2,−4). Point P is dilated with a center at the origin and a scale factor of 3 to create point P'. What are the coordinates of point P'?
A) (6,12)
B) (1,−1)
C) (−2/3,−4/3)
D) (−6,−12)
Dilation centred at origin
So new coordinates are same like previous
Now scale factor is 3
So P':-
3(-2,-4)(-6,-12)Option D
Answer:
D) (−6, −12)
Step-by-step explanation:
Dilation: A type of transformation that makes the pre-image larger or smaller without changing its shape.
Center of a dilation: a fixed point about which all points are dilated.
When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.
Given:
Point P = (-2, -4)Center of dilation = (0, 0)Scale factor = 3Therefore:
⇒ P' = (-2 × 3, -4 × 3)
⇒ P' = (-6, -12)
5. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x2−3, g(x)=2x−
Answers:
[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]
The domain for both is "all real numbers".
============================================================
Explanation:
The work is shown below in the attached image.
The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.
find the value of cos θ if sin θ=1/2;0 degrees< θ< 90 degrees
Answer:
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]
= ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{1}{4} }[/tex]
= ± [tex]\sqrt{\frac{3}{4} }[/tex]
= ± [tex]\frac{\sqrt{3} }{2}[/tex]
since 0° < Θ < 90° , then
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
n (a)–(e), say whether the quantity is changing in a linear or exponential fashion. a. A savings account, which earns no interest, receives a deposit of $723 per month.
Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.
When is a function changing in linear and in exponential function?If the rate of change is a constant value, the change is linear.If the rate of change involves a proportion or a percentage, the change is exponential.In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.
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Which of the following is the
correct way to express
3.7 x 10-3 in standard form?
A 3.7
B 3,700
C 0.0037
Answer:
0.0037
Step-by-step explanation:
In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.
h(t)=−(t−7)²+4
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1. smaller value of t = 5
larger value of t = 9
2. (7, 4)
Step-by-step explanation:
Given function: [tex]h(t)=-(t-7)^2+4[/tex]
To find the zeros, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Therefore, the vertex of the given function is (7, 4)
Giving Brainlist Please Help!!! A classmate incorrectly calculated the area of the parallelogram as 48 ft2. What is the correct area?
Answer:
D. 60 ft²
Step-by-step explanation:
Area formula :
base x heightSolving :
10 ft x 6 ft60 ft²Answer:
D. 60 ft2
Step-by-step explanation:
Area of a parrelleogram:
bxh
base x hieght
The base is 10ft, the height is 6 ft
(it cannot be 8ft because that line is slanted)
10x6=60ft2
What is the answer??
Answer:
5 given as -1 and 8 positive 8 cross by axis
jamal is attending a university where fitr tuition one year costs 11,800. he has a scholarship worth 1,500 per year he earns 2,500 per year at his part time job. he plans to take out a loan to cover the remaining tuition costs. Tuition will increase by 100 each year. If he completes collage in 4 years , how much money will jamal need to borrow
Answer:
Jamal will have to borrow 31,800.
Step-by-step explanation:
Total tuition for the full four years = 11,800 + 11,900 + 12,000 + 12,100 = 47,800
Total money from scholarship = 1,500 × 4 = 6,000
Total income received = 2,500 × 4 = 10,000
Total money to borrow = 47,800 - 6,000 - 10,000 = 31,800
I need help I’m very confused.
Answer:
i think its D but i'm not very sure. try it
Step-by-step explanation:
Which graph represents the function 3x – 2y = 6?
Answer:
graph 19 because since it is that means also like the thingy equals that number si then like when the thing is at the highest point it cab maybe actually it will equal that number
in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number
A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is given by the formula,
Percentage change = |(Intial Value - Final value)|/Initial Value × 100%
Percentage Change = |3200-3890|/3200 × 100% = 21.56%
Hence, the percentage increase in the number of tigers is 21.56%.
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An office supply store sells boxes of pencils.each box contains 160 pencils. write an equation that represents the total number of pencils,y, in x boxes.
Answer:
160 times X
Step-by-step explanation:
160 is the number of pencils in each box.
And
X is how many boxes there are.
If 1 box contains 160 pencils then the equation which represents the total number of pencils is y=160x.
What is equation?An equation is a relationship between two or more variables where variables represent some quantity . It is mostly found in equal to form. It is equated to find the value of variables.
Equation form :y=a+bx
How to form equation?There are 160 pencils in one box and x represents the number of boxes. So the equation that represents the total number of pencils can be found by product of x and 160.
Equation will be x*160=160x.
Hence the equation which represents the total number of pencils is y=160x.
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You start at (5, -2). You move up 4 units. Where do you end?
Answer:
(5,2)
Step-by-step explanation:
if it’s (x,y) and 4 to the y to get 2
I need help with this pls!!
Answer:
Second choice
Step-by-step explanation:
This is a circle with center at 0,0
radius = sqrt 100 = 10
whats the 8th term of 12,18,27
Answer:
205.03125.
Step-by-step explanation:
18/12 = 1.5
27/18 = 1.5
This is geometric with nth term = ar^(n-1)
Here first term a = 12 and common ratio r = 1.5, so
The 8th term = 12(1.5)^(8-1)
= 205.03125
Directions: Perform the indicated operation. Write your solution in a separate sheet of paper and change your answer to lowest term if necessary.
Addition
1.)
2.)
3.)
4.)
5.)
Subtraction
1.)
2.)
3.)
4.)
5.)
paki ayos po ng sagot
SALAMAT
For addition 1.) 28 / 5 2.) 27 / 4 3.) 45 / 8 4.) 4 / 3 5.) 23 / 18
For Subtraction 1.) 27 / 5 2.) 20 / 3 3.) 23 / 6 4.) 6 / 5 5.) 16 / 3
What is addition?The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.
Addition
1.) 28 / 5
2.) 27 / 4
3.) 45 / 8
4.) 4 / 3
5.) 23 / 18
Subtraction
1.) 27 / 5
2.) 20 / 3
3.) 23 / 6
4.) 6 / 5
5.) 16 / 3
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If stu=(13x-6), msu=(21x+8) and mut=143 find mst
The value of arc ST in the circle with center at point V is 125 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
mSU = 2 * ∠STU (angle at center is twice angle at circumference)
21x + 8 = 2(13x - 6)
x = 4
mSU = 21(4) + 8 = 92°
mSU + mUT + mST = 360° (angle in a circle)
92 + 143 + mST = 360
mST = 125°
The value of arc ST in the circle with center at point V is 125 degrees.
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Factor 2x^2+x-3
(PLEASE INCLUDE STEP BY STEP)
The unit is "Factoring trinomials by grouping" so please use that method
Answer:
[tex]2x^2+x-3=(2x+3)(x-1)[/tex]
Step-by-step explanation:
Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:
[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]
Hope this helps! Let me know if you are still confused.
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle B has a radius of 18 inches. True or false?
2. Circle B has an area of approximately 103. 14in2. True or false?
3. The distance around Circle A is 20.5 inches longer than Circle B. True or false?
Answer:
1. False
2. True
3. true
Step-by-step explanation:
The first answer is false, the second one is true and the third is true
90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!
Answer:
the answer is b
Step-by-step explanation:
you multiply 0.1% or 0.001 to 4200
the reason I am not multiplying 1.2% is because that is for yearly and 0.1% is for monthly
Answer:
A
Step-by-step explanation:
find 1.2% of £4,200 then multiply it
Write each number as a power of 10 using negative exponents.
1.
[tex] \frac{1}{1000} [/tex]
2.
[tex] \frac{1}{10} [/tex]
Answer:
Step-by-step explanation:
One
If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10
So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.
The the given number is a fraction the rule is Add a minus sign
Answer: 1/1000 = 1 * 10^-3
Two
10 is 10^1 in scientific notation
1/10 = 10^-1
Answer: 1/10
A high-interest savings account pays 5.5% interest compounded annually. if $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit? sigma-summation underscript n = 1 overscript 10 endscripts 300 (0.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 305.5 (1.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 316.5 (0.055) superscript n minus 1 sigma-summation underscript n = 1 overscript 10 endscripts 316.5 (1.055) superscript n minus 1
The summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
Exponential equationsExponential equations are equations that increase geometrically
The formula for calculating the compound. interest is expressed as:
P(t) = P0(1+r)^t
Given the following
P0 =. $300
r = 5.5% = 0.055
t = 10years
Substitute
P(10) = 300(1+0.055)^10
P(10) = 300(1.055)^10
Hence the summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
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Answer: D
Step-by-step explanation:
hey .what is the truth set of the equality 4x+2>6x+8?
Answer:
x < - 3
Step-by-step explanation:
4x + 2 > 6x + 8
=> 4x - 6x > 8 - 2
=> -2x > 6
Divide by -2 (Since dividing by -ve, operator sign changes)
=> x < - 3
Answer: x >-3
Step-by-step explanation: 4x + 2 > 6x + 8
4x - 6x = -2x
6x - 6x = 0
-2x + 2 >8
8 -2 = 6
2-2 = 0
-2x > 6
-2x/-2x = 0
6/-2x = -3
therefore x >-3
Multiply using an area model: (3x+2)(2x-4)
Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts
