Need to find the Domain and Range
Answer:
D: {x∈R | -2 ≤ x ≤ 2 }
R: {y∈R | 0 ≤ y ≤ 4 }
Step-by-step explanation:
The domain ranges between -2 and 2
The range ranges between 0 and 4
If a coin is flipped five times and a head comes up two times, what is the relative frequency of head coming up? A) 0.40 B) 0.20 C) 0.60 D) 0.80
Answer:
A) 0.40
Step-by-step explanation:
5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.
Relative frequency of heads coming up is 0.40
Given,
Flipping of coin 5 times .
Here,
The probability of head and tail coming in a single flip of coin is equal .
P(H) = P(T) = 1/2
Thus there are equal number of chances for head and tail .
Here,
Two heads are coming in the flip of five times .
So,
Two heads will be coming up as
0.20 * 2
= 0.40
Know more about probability,
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I need help with multistep equations
Answer:
1 2/3 = m
Step-by-step explanation:
2/3 = m+3/5 -8/5
Combine terms
2/3 = m-5/5
2/3 = m -1
Add 1 to each side
2/3 +1 = m-1+1
2/3 +3/3 = m
5/3 = m
1 2/3 = m
Answer:
[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]
Step-by-step explanation:
2/3 = m + 3/5 - 8/5
Subtract the fractions since the denominators are same.
2/3 = m -5/5
Simplify the equation.
2/3 = m - 1
Add 1 to each side.
5/3 = m
Use the diagram to answer the question.
Which of the following statements is true?
lines and line t Intersect
O lines and line t Intersect at Point P
Point Pis on linet and on lines
all of the above are true
Answer:
O lines and line t Intersect at Point P
Select the correct answer.
In which career would you most likely apply concepts from geometry?
Answer:
civil engineering..
hope it helps u
The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. Do not use commas in your answer. P(t)=
Answer:
P(t)=25000(1.12)^t
Step-by-step explanation:
only answering so i can go back to not watching ads :/ but hope u dont get it wrong even tho i gave right answer
Answer:
P(t) = 25000 x 1.12^t
Step-by-step explanation:
25000 times 1.12 because it is increasing by a factor of 1.12.
A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
Answer: y=18+4x
Step-by-step explanation: Let y stand for the number of customers the business has in total, and x stand for the number of weeks that have passed. If the business increases by 4 clients per week as described by the scenario, then the range will go as followed: 18, 22, 26, 30...
help please, got a little lost in everything
Answer:
375 mm cubed
Step-by-step explanation:
The volume would stay the same because the same number of the same pennies are being used.
If the question was asking for the surface area, then the answer would be different.
Hope that helped!!! k
Answer: 375 mm cubed
1. ABCD is a quadrilateral in which angle A = angle C and angle B = angle D
Prove that, if the opposite angles of a quadrilateral are equal, then the quadrilateral is a
parallelogram.
Answer:
Quadrilateral ABCD is a parallelogram, quadrilateral with opposite sides parallel
Step-by-step explanation:
Statement, Reason
∠A = ∠C, Given
∠B = ∠D, Given
Therefore, we have
∠A + ∠B + ∠C + ∠D = 360°, Sum of interior angles of a quadrilateral
2×∠A + 2×∠B = 360°, Substitution property of equality
∴ ∠A + ∠B = 360°/2 = 180°
∠A + ∠B, are supplementary angles, Angles that sum up to 180°
Similarly,
∠C + ∠D, are supplementary angles, Angles that sum up to 180°
Therefore, segment DA is parallel to segment BC, (Lines with supplementary angles on the same side of the transversal)
Similarly, given ∠A = ∠C and ∠B = ∠D, we have;
∠A + ∠D and ∠C + ∠B are supplementary angles, Angles that sum up to 180°
Therefore, segment AB is parallel to segment DC, (Lines with supplementary angles on the same side of the transversal)
Therefore;
Quadrilateral ABCD is a parallelogram, quadrilateral with parallel opposite sides.
Jaden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?
Answer:
x = (4y-6)/17
where x is the number of pens each student got.
Step-by-step explanation:
No. of boxes = 4
no. of pen in 1 box = y
total no, of pens in 4 box = No. of boxes *no. of pen in 1 box = 4y
No. of pen took away by Jaden's teacher = 6
no. of pens left = 4y - 6
This, 4y - 6 pen has to be divided among 17 students.
Let each student get x pen
thus, total no. of pen got by 17 student = 17x
This, 17x should be equal to total no. of pens available which is 4y-6
17x = 4y-6
=> x = (4y-6)/17
Thus, expression to represent number of pens each student got
is x = (4y-6)/17
Answer:
4y-6/17
Step-by-step explanation:
Jaden’s teacher had 4 boxes of pens that each contained y pens.
Number of boxes of pen = 4
Number of pens per box = y
Total number of pens = 4 x y = 4y
She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.
Total number of pens left = 4y - 6
Number of students = 17
I will give brainliest to the right answer!! Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7
Answer:
(7, 5)2Step-by-step explanation:
When the quadratic is written in vertex form:
x = a(y -k)^2 +h
the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.
For your given equation, ...
x = (1/2)(y -5)^2 +7
you have a=1/2, k = 5, h = 7, so ...
the vertex is (7, 5)
the length of the latus rectum is 1/(1/2) = 2
Which system of equations is represented by the graph?
Answer:
[tex]y=x\\\\y=\dfrac{-x+10}{x-4}[/tex]
Step-by-step explanation:
Red line is increasing and for any x goes the same y, so it's y = x
The blue graph is [tex]y=\dfrac a{x-h}+k[/tex], where h=4 and k =-1 and for x=5 also y=5
It gives:
[tex]5=\dfrac a{5-4}+(-1)\\5=a-1\\a=6[/tex]
So:
[tex]y=\dfrac6{x-4}-1 =\dfrac6{x-4}-\dfrac{x-4}{x-4} =\dfrac{6-x+4}{x-4}=\dfrac{-x+10}{x-4}[/tex]
Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.
Answer:
Acute.
Step-by-step explanation:
An angle of measure between 0 and 90 degrees is an acute angle.
help...me...plz..!!.....?
Answer:
[tex]\huge\boxed{-1}[/tex]
Step-by-step explanation:
[tex]\frac{-5^2}{(-5)^2}[/tex]
=> [tex]\frac{-25}{25}[/tex]
=> -1
Answer:
-1
Step-by-step explanation:
-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.
For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.
When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.
If f(x) is a linear function, f(3)=1 and f(2)=5, what is the y-intercept? A) -4 B) 1 C) 3 D) 11 E) 13
Step-by-step explanation:
let the function be $y=mx+c$ since it is linear.
1=3m+c
and
5=2m+c
solve c to get the y intercept
PLS HURRY!!! Charlie made a table to show how much time he spent on activities last week . Activity Time spent (hours ) Swimming Reading Cooking Soccer On which activities did Charlie spend more than hour? PLS HURRY
Answer:
None
Step-by-step explanation:
All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them
Answer:
cooking and swimming
Step-by-step explanation:
How can you change a rational number to a decimal? Can you give an exsample?
Answer:
1/2=0.5
Step-by-step explanation:
¼=0.25
¾=0.75
a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)
Answer:
(5,3) and (5,9)
Step-by-step explanation:
please help :) Which is a component of pseudoscience, but not science? A) explanations B) beliefs C) facts D) processes
The correct answer is B) Beliefs
Explanation:
Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.
The correct answer is B) Beliefs
Explanation:
Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.
Find the equation of a circle with PQ as diameter, where P(2,-6) and Q(-6,-4)
Answer:
y=-¼x+⁴⁴/8
Step-by-step explanation:
p(2,-6). Q(-6-4)
p (x¹,y¹). Q(x²,y²)
1) find the gradient(slope)
gradient=y²-y¹
x²-x¹
gradient = -4-(-6)
-6-2
gradient= -4+6
-6-2
gradient=²/-8
2)equation is supposed to be in the form of y=mx+c
where m is the gradient
thus.
gradient=y²-y¹
x²-x¹
when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.
2 = y-(-4)
-8 x-(-6)
2 =y+4
-8. x+6
remove the denominators by cross multiplying that is:
2(x+6)= -8(y+4)
2x+12= -8y-32
express in the format y=mx+c
2x+12+32=-8y
2x+44=-8y.
divide all sides by -8 to remain with y
²/-8x+⁴⁴/-8=y
-¼x+ -⁴⁴/8=y
y=-¼x-⁴⁴/8
Simplify {[(0.2)^3] x 8} / (0.4)^2
40
0.4
0.2
0.04
Answer:
0.4
Step-by-step explanation:
Given
[tex]\frac{0.2^3(8)}{0.4^2}[/tex]
= [tex]\frac{0.008(8)}{0.16}[/tex]
= [tex]\frac{0.064}{0.16}[/tex]
= 0.4
An object has a mass of 50.0 g and a volume of 10.5 cm cubed. What is the object's density? A. 60.5 g/cm cubed B. 0.21 g/cm cubed C. 4.76 g/cm cubed D. 525 g/cm cubed
Answer:
4.76 g/cm³
Step-by-step explanation:
Density formula = mass / volume
1. Set up the equation and solve
50.0 / 10.5 = 4.76
Diagonals of a parallelogram _____ each other.
Answer:
They will bisect eachother
Step-by-step explanation:
meaning they will cross in the middle
What is the values of x and y
Answer:
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
Answer:
Hey there!
I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.
Hope this helps :)
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)
Answer:
35.11 ft
Step-by-step explanation:
This given situation can be thought of as triangle [tex]\triangle PQR[/tex] where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And [tex]\angle Q \neq 90^\circ[/tex]
Given that:
PQ = 44 ft
PR = 51 ft
[tex]\angle R = 58^\circ[/tex]
To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ[/tex]
Now,
[tex]\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ[/tex]
Let us use the Sine rule again:
[tex]\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft[/tex]
So, the answer is 35.11 ft.
The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm
soo.....here i go again ask for help!!
Answer:
1. The Additive Inverse Property
2. Zero Product Property
Step-by-step explanation:
In the first step, we can see that we ad 4 and -4 to get to 0.
4 and -4 are opposites, and because of the Additive Inverse Property, they equal 0.
In the second step, we can see that we multiply y by 0. According to the Zero Product Property, anything multiplied by zero will equal 0.
Hope this helped!
I NEED HELP PLEASE FIRST ONE TO ANSWER THIS RIGHT GETS 5 STARS !
Answer:
The answer is 2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]To solve the question first write 32 in exponential form
That's
[tex]32 = {2}^{5} [/tex]Multiply the exponent by 1/5
That's
[tex] {2}^{5 \times \frac{1}{5} } [/tex]We have the final answer as
2Hope this helps you
Answer:
2
Step-by-step explanation:
32 ^ (1/5)
Rewriting 32 as 2^5
2^5 ^ 1/5
We know that a^b^c = a^ ( b*c)
2^ ( 5*1/5)
2^1
2
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²