Answer:
Domain are the values of x-coordinates
Range are the values of y-coordinates
Step-by-step explanation:
In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.
{(-2, 0), (0, 6), (2, 12), (4, 18)}
Domain: {-2, 0, 2, 4}.
Range: {0, 6, 12, 18}
Answer:
Domain- set of x-values
Range- set of y-values
Step-by-step explanation:
Domain
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain:
The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section
Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!Pleaseee help meeeeeee!
Answer:
Irrational
Step-by-step explanation:
Irrational numbers have decimal expansions that neither terminate not repeatable
π = 3.1428.........
-4π =-12.5714..........
Answer:
D. Irrational
Step-by-step explanation:
First, let's calculate what -4π is.
-4π= -4*π= -12.5663706143....
Now, let's analyze the answer choices.
Whole numbers are the numbers 1,2,3,4,5...
Integers are like whole numbers, but negatives are also included.
Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.
Irrational numbers cannot be written as fractions, do not repeat and do not terminate.
-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
Solve the equation -7 = y for x.
A. x= 4y - 28
B. x = y - 28
C. x = 4y + 28
D. x = 4y + 7
Answer:
x = 4y+28
Step-by-step explanation:
x/4 -7 = y
Solve for x
Add 7 to each side
x/4 -7+7 = y+7
x/4 = (y+7)
Multiply each side by 4
x/4*4 = 4(y+7)
x = 4y+28
Answer: X = 4y + 28
Step-by-step explanation: Our first step will be to solve for x.
To do this, we first add 7 to both sides.
This gives us x/4 = y + 7.
Now we want to multiply each side of the equation by 4.
So we get x/4(4) = 4(y + 7).
On the right, distribute the 4 through the parenthses!
Simplifying from here, we get x = 4y + 28.
So this is our final answer.
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer: 125
Step-by-step explanation:
For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.
The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:
Therefore, no of possible numbers are: 5x5x5x1=125 numbers
The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4
Answer:
64
Step-by-step explanation:
4/7
16x7= 112
4x16=64
A sector whose central angle measures 1200 has an area of 12 square inches. What
is the radius of the circle?
This question is not correctly written
Correct Question
A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?
Answer:
Radius of the circle = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Step-by-step explanation:
The formula for the area of a sector is given as:
Area of a sector = θ × π/360 × r²
θ = Central angle in degrees = 120°
Area of a sector = 12 in²
12 = (120° × π)/360 × r²
r² = 12 ÷(120° × π)/360
r² = 12 ÷ 1.0471975512
r² = 11.459178217
r = √11.459178217
r = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Find the focus and the directrix of the parabola with the equation y = 1∕4(x – 6)2+ 5
Question 16 options:
A)
Focus = (5,–6), directrix is y = –7
B)
Focus = (6,6), directrix is y = 4
C)
Focus = (6,–6), directrix is y = –4
D)
Focus = (–5,6), directrix is y = –4
Answer:
B)
Focus = (6,6), directrix is y = 4
Step-by-step explanation:
A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).
The equation of a parabola in vertex form is given as:
[tex]y=a(x-h)^2+k[/tex]
It can be further simplified to:
[tex](x-h)^2=4p(y-k)[/tex]
The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)
Given that:
[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]
Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5
The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) = (6, 5+1) = (6, 6)
Focus = (6,6), directrix is y = 4
Worth 50 points please show you work I will pick the Brainliest answer
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▹ Answer
The correct answer is C. x = 375 sq ft y = 6,300 sq ft
▹ Step-by-Step Explanation
The ratio is 1:15 so...
x → 5,625
(Divide 5,625 by 15 since we have to find the x value meaning we have to do the inverse operation)
5,625 ÷ 15 = 375
420 → y
(Multiply 420 by 15 since we have to find the y value meaning we have to do multiplication)
420 × 15 = 6,300
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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John and 4 friends are going out for pizza for lunch . They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model the situation, and find the cost of one large drink.
Answer:
The cost of one large drink is $1.50.
(13.5-10) + 4 = (7.5 ÷ 5) = $1.50
Step-by-step explanation:
The first step is to minus the $10.00 from the $13.50, which gives us $3.50.
13.5 - 10
We've done this because the pizza is irrelevant to what we're trying to figure out, so we subtract the price of the food, which as we already know is $10, to isolate the price of the 5 drinks to make it easier to find the price of just one.
Once we've done that, we're going to add on the $4.00 they got discounted to the $3.50 in order to find the original price of the drinks without using the gift certificate.
(13.5 - 10) + 4
This gives us $7.50, or the price of 5 large drinks. But we're only looking for the price of one. So we're going to divide the 7.50 by the total number of drinks ordered.
(13.5-10) + 4 = (7.5 ÷ 5)
This gives us 1.5, or $1.50.
(13.5-10) + 4 = (7.5 ÷ 5) = $1.50
Hope this was helpful!
Determine the area of the given rhombus. ANSWERS: 140 square units 35 square units 70 square units 17.5 square units
Answer:
17.5
Step-by-step explanation:
A = [tex]\frac{pq}{2}[/tex]
p = 7
q = 5
7 x 5 = 35
35 ÷ 2 = 17.5
Answer:
The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!
Step-by-step explanation:
I'm a little confused with this question, please help.
Answer:
1152 minutes
Step-by-step explanation:
$104.64-24.00 = $ 80.64
80.64 ÷ 0.07 = 1152
WILL GIVE BRAINLIEST AND 25 POINTS! Find the value of x and y, given the following matrix equation: x= y=
Answer:
x = ±6
y = 10
Step-by-step explanation:
Solve for the top part.
x² + -4 = 32
x² = 32 + 4
x² = 36
x = √36
x = ±6
Solve for bottom part.
y + y - 4 = y + 6
2y - 4 = y + 6
2y - y = 6 + 4
1y = 10
By solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.
Thus:[tex]x^2 + (-4) = 32[/tex] (upper part)
[tex]y + y - 4 = y + 6[/tex] (lower part)
Solve each of the equation in the matrix.
Solve the upper part for x:
[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]
Add 4 to both sides[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]
Take the square of both sides[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]
Solve the lower part for y:
[tex]y + y - 4 = y + 6\\\\[/tex]
Add like terms[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]
Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
Learn more here:
https://brainly.com/question/13694076
Which of the following are monomials?
A. x11
B. 8x
C.5/7y3+5y2+y
D. x2 + 3
E. x4 + x2 +1
F. 6x2 +1/2y3
Answer:
A. x^11 and B. 8x.
Step-by-step explanation:
A monomial is a polynomial with just one term. That would be Options A and B.
Options C and E are trinomials.
Options D and F are binomials.
Hope this helps!
Answer:
A and B
Step-by-step explanation:
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
What is the interquartile range (IQR) of the data set below? (You have until 6:30 P.M. EST) (I don’t mind late answers, maximum being 6:35-6:40.)
Answer:
21.5
Step-by-step explanation:
Arrange numbers from smallest to largest:
56, 65, 69, 77, 79, 82, 88, 89, 90
The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.
56, 65, 69, 77, 79, 82, 88, 89, 90
(65+69)/2 = 67
(88+89)/2 = 88.5
The interquartile range:
88.5 - 67
= 21.5
Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your explanation.
Answer:
[tex]S=6600\pi \text{ mm}^2[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
Step-by-step explanation:
A can of fruit is geometrically a cylinder.
We are talking about the surface area of a cylinder:
[tex]S=2\pi rh+2\pi r^2[/tex]
[tex]\pi \approx 3.14[/tex]
[tex]r: \text{radius}[/tex]
[tex]h: \text{height}[/tex]
Factoring, we have:
[tex]S=2\pi r (h+r)[/tex]
Calculating the surface area of the can of fruit:
[tex]S=2\pi (30) (80+30)[/tex]
[tex]S=2\pi (30) (110)[/tex]
[tex]S=6600\pi[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
PLZ HELP!!! Use limits to evaluate the integral.
Split up the interval [0, 2] into n equally spaced subintervals:
[tex]\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right][/tex]
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
[tex]r_i=\dfrac{2i}n[/tex]
where [tex]1\le i\le n[/tex]. Each interval has length [tex]\Delta x_i=\frac{2-0}n=\frac2n[/tex].
At these sampling points, the function takes on values of
[tex]f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}[/tex]
We approximate the integral with the Riemann sum:
[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3[/tex]
Recall that
[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]
so that the sum reduces to
[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}[/tex]
Take the limit as n approaches infinity, and the Riemann sum converges to the value of the integral:
[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}[/tex]
Just to check:
[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28[/tex]
attachment only answer no explanation please!
Answer:
p=(0,2) q=(0.5,0)
Step-by-step explanation:
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Answer:
d) Vessels that are any length
Step-by-step explanation:
MSDs can be defined fully as Marine
Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.
It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.
There are three types of MSDs
a) Type I
b) Type II
c) Type III
Marine Sanitation Devices are classified into types based on
1) The length of the vessels in which that are installed on.
2. The method for treating or breaking down the waste materials in the devices.
In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.
This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.
These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.
Pls help guys: Find the perimeter of rectangles which measure: 9m x 12.6m.and also I need help with this so: complete the table of measurements of triangles. Base. 12cm. 12cm. 30.5cm. Height. 15cm. 32cm Area. 60cm2 72cm2. 112.5cm2 122cm2 160cm2 Fill in the blanks pls and also tell me why it is. I will mark brainliest if you help me for real
Answer:
1. perim is 43.2
2. where are the blanks? dont see any
Step-by-step explanation:
11/6 - 12/7 = a 13/21 -37/42 -1/168 5/42
Answer:
5/42
Step-by-step explanation:
11/6 - 12/7
Make denominators equal.
77/42 - 72/42
Subtract the fractions.
5/42
The set of all real numbers x that satisfies 5 5x58 is given by the following interval notation:
[5,8]
The question is a True or False question
Answer:
True
Step-by-step explanation:
Given
5 ≤ x ≤ 8
Required
Is [5,8] the interval of the given range?
The interval given shows that the range of x begins at 5 and ends 8.
Start by splitting the interval to different inequalities.
1. 5 ≤ x
This implies that 5 is less than or EQUAL TO x;
The keyword needed here is EQUAL TO;
The fact that the inequality gives room for EQUALITY (=) means that the interval begins exactly at 5
2. x ≤ 8
This implies that x is less than or EQUAL TO 8;
Similarly, the keyword needed here is EQUAL TO;
The fact that this inequality gives room for EQUALITY (=) means that the interval ends exactly at 8
So, this implies that the range of values of 5 ≤ x ≤ 8 is 5, 6, 7, 8
And can be represented with [5,8]
So, the statement is true.
help me, please. 30 points!! problem attached below:
Step-by-step explanation:
Refer to the two diagrams, attached
Start with the first set (soccer balls)
Hexagons (six-sides)
5 orange, 5 light green, 5 dark green, 5 light orange
total of 20 hexagons
Pentagons (5 sided black figures)
1+5+5+1 = 12 pentagons.
For the next set:
Triangles (3 sides)
5 orange+5 dark green+5 light green+5 light orange
= 20 triangles
Squares (4 sides)
5 between orange triangles+5 between light orange triangles
+ 5 between orange and green triangles
+ 5 between light orange and light green triangles
+ 10 between green and light green triangles
= 40 squares
Pentagons (5 sides)
1 at north pole + 5 between orange and green triangles
+ 5 between light green and light orange triangles + 1 at south pole
= 12 pentagons.
Summary:
Soccerball: 20 triangles + 12 pentagons + 20 hexagons
GoalScorerBall: 20 triangles + 40 squares + 12 pentagons
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
-2/3 divided by 3 1/4
Hey there! :)
Answer:
-8/27.
Step-by-step explanation:
Begin by converting 2 1/4 to an improper fraction:
2 1/4 --> [tex]\frac{9}{4}[/tex]
Divide fractions by multiplying by reciprocal:
[tex]\frac{-2}{3}* \frac{4}{9} = \frac{-2*4}{3*9} = \frac{-8}{27}[/tex]
Therefore, -2/3 divided by 3 1/4 = -8/27.
Answer:
- 8/27
Step-by-step explanation:
-2/3 ÷ 2 1/4= - 2/3 ÷ 9/4 = -2/3 × 4/9 = - 2×4/3×9= - 8/27
George is afraid of falling off his roof, but he needs to measure to measure his roof so he can re-shingle it.
What is the measure of AB?
Answer: AB= 24 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.
Replacing with the values given:
CB^2 = CA^2 + AB^2
25^2 = 7^2 + x^2
Where x is the value that we are searching for..
625= 49 + x^2
625 -49 = x^2
576 = x^2
√576 = x
24 = x
So, AB= 24 ft
Feel free to ask for more if needed or if you did not understand something.
Which of the following systems of equations is an example of one where substitution is the best method?
Answer:
option c is the correct ans .
because we can easily substitute the value of y in equn 2 to get value of x..
Answer:
To me, the third one is the best.
Note: y has been made subject of formula which makes it easy to substitute it into equation 2 and find x .
Step-by-step explanation:
5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________
Answer:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Step-by-step explanation:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
i need help with #3 plzz answer asap
Answer:
Step-by-step explanation:
The slope is increasing by one so your unit rate is 1/1 and your slope is 1
Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 4 to 2. Tia wants to sell a total of 54 apples and oranges. How many apples should she sell?
Answer:
36 apples and 18 oranges
Step-by-step explanation:
4x+2x=54
6x=54
x=54/6
x=9
Apples=4x=36
Oranges=2x=18