Answers
Answer:
The correct answer is Option 4, the fourth graph
Step-by-step explanation:
We will go through why the other graphs are not the correct answer and then explain why the fourth is indeed the correct answer.
Option 1 is wrong because it has the general shape of the graph of an even valued function. These functions are either concave up or concave down.
Option 2 is wrong because it has the general shape of the cubic function. These functions are defined for both negative and positive values of x.
Option 3 is wrong because it is not defined for negative values of x. It has the general shape of the square root function.
Option 4 is correct because it has the general shape of the function [tex]f(x)=\sqrt[3]{x}[/tex]. Functions of this kind are defined for both negative and positive values of x.
Answer: the fourth Graph
Step-by-step explanation:
Related Questions
Suppose that you invest $6000 into a high yield savings account that earns 2% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 20 years?
Answers
i will only be adding the answer due to the fact that I have to leave soon and i have been helping people with this all day.
8916 AFTER 20 YEARS
1. Which of the following is not equivalent to the formula for angular velocity, v = wr?
vw = r
v/w = r
v/wr = 1
v/r= w
2. Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour. The number of calories (c) she actually burns in one hour varies no more than 45 calories. Which inequality below represents this scenario?
|c − 450| ≤ 45
|c + 450| ≥ 45
|c − 45| ≤ 450
|c − 45| ≥ 450
Answers
Answer:
vw = r This is not correct
abs ( c - 450) <= 45
Step-by-step explanation:
1. v = wr
Divide by w Divide by wr Divide by r
v/w = wr/w =r v/wr = wr/wr =1 v/r = wr/r =w
vw = r This is not correct
v/w = r This one is good
v/wr = 1 This one is good
v/r= w This one is good
2. When working with absolute values, the amount that can vary is on the other side from the absolute value.
abs( value - target) inequality amount that it varies by
the target is 450
no more than is less than or equal to
the amount we can vary by is 45
abs ( c - 450) <= 45
1. The first offered choice is equivalent to ...
... v = r/w . . . . . divide both sides by w
which is not the same as v = wr.
___
2. The wording "no more than 45" means ≤ 45. There's only one formula with such a relationship—the first one.
Comment on "this scenario"
The problem statement describes several relationships, and never tells us whether Lucy's goal is met. The precise "scenario" that is intended to be modeled is not clear. The first inequality has a solution that is the range of calories Lucy might have burned had she reached her goal.
The other inequalities describe other "scenarios," some of which are harder to describe.
PLEASE HELP 20pts
what is the number ? fifty
-three more then 3 times that number
-35 less than seven times a certain number is
what is the number? is twenty
-nine more than 12 times that number 21 less than fourteen times a certain number
Answers
Answer:
53+3=56
56 times -35
-1960-7
-1967
i think this is how you do it.
Step-by-step explanation:
Calculate the shaded area of the figure.
Answers
Answer:
36.5cm²
Step-by-step explanation:
Area of quarter circle=8²[tex]\pi[/tex]/4=64[tex]\pi[/tex]/4=16[tex]\pi[/tex]cm²
Area of square+Area of shaded region =2(16[tex]\pi[/tex])=32[tex]\pi[/tex]=100.5cm²
Area of square=8²=64cm²
Area of shaded region=100.5cm²-64cm²=36.5cm²
Therefore, the area of the shaded region is 36.5cm².
Answer:
Area shaded area = 36.48
Step-by-step explanation:
Preliminary
Draw a line from D to BAssume that the quarter circle has its center at C. Find the area of the quarter circle. [Arc DBC]Subtract the area of TriangleDBCThat gives 1/2 the shaded area. Double the 1/2 of the shaded areaGiven
ABCD is a square. It better be or we can't do this.One side of the square = 8 cm4 sides of the square = 32 cmThe center of the quarter circle is at CSolution
Quarter Circle Area
Formula
Area = 1/4 * pi * r^2
Solution
r = 8 cmpi = 3.14Area = 1/4 * 3.14 * 8^2Area = 50.24 cm^2Triangle Area
Formula
Area = 1/2 r^2
Given
r = 8
Solution
Area = 1/2 8^2Area = 32 cm^2Area of 1/2 the Shaded area
Formula
Area of 1/2 shaded area = Area of 1/4 circle - Area of Triangle
Givens
Area of 1/4 circle = 50.24Area of triangle= 32Solution
Area of 1/2 shaded area = 50.24 - 32Area of 1/2 shaded area = 18.24Answer= 2* 18.24Area Shaded area = 36.48
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
the equation given to solve this is v=4/3 pi radius by the power of 3
Answers
The given radius is = 60 feet
The volume of the sphere is given by = [tex]\frac{4}{3} \pi r^{3}[/tex]
So we will find the volume of the sphere using radius as 60 and pi as 3.14
Volume = [tex]\frac{4}{3}*3.14*60*60*60[/tex] = 902059.20 cubic feet
As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.
So volume of quarter sphere = [tex]\frac{902059.20}{4}[/tex]
= 225514.80 cubic feet
And rounding this to nearest whole number we get 225515 cubic feet as the answer.
Use the substitution method to solve the system of equations
Answers
Answer:
(12,14)
Step-by-step explanation:
9x-3(3x-4)=14
9x-9x+12=14
12=14
1. Tom distributed chocolates among his friends Alex and Kevin in the ratio 2: 1. If he had 12chocolates, how many did Kevin get?
Answers
Kevin:
[tex]\frac{2}{2+1}\cdot12=\frac{2}{3}\cdot12=8[/tex]
Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?
Answers
If a, b and c are the lengths of a right triangle and c is the longest side, then:
[tex]a^2+b^2=c^2[/tex]
We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:
[tex]L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s[/tex]
Answer: It's the right triangle.The triangle with side lengths of 18cm, 24cm, and 30cm is a right triangle and this can be determined by using the Pythagorean theorem.
Given :
The triangle with side lengths of 18cm, 24cm, and 30 cm.
The following steps can be used to determine the given triangle is a right triangle or not:
Step 1 - The Pythagorean theorem can be used to determine whether the given triangle is a right triangle or not.
Step 2 - According to the Pythagorean theorem, the sum of the square of the two shorter sides of the triangle is equal to the square of the larger side of the triangle that is:
[tex]\rm H^2 = P^2+B^2[/tex]
where H is the hypotenuse, P is the perpendicular, and B is the base of the right angle triangle.
Step 3 - To determine the given triangle is a right angle triangle, the Pythagorean theorem must be satisfied.
[tex]24^2 + 18^2 = 30^2[/tex]
LHS = [tex]24^2+18^2[/tex]
= 576 + 324
= 900
RHS = [tex]30^2[/tex]
= 900
So, LHS is equal to RHS. Therefore, the given triangle is a right angle triangle.
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The letters in the word MISSISSIPPI are put into a bag. What is the probability of randomly selecting the letter S from the bag?
Answers
A 24000 gallon of pool is being filled at the rate of 40 gallons per minute at this rate how many minutes will it take to fill up this pool A.450 B.560 C.600 D.150
Answers
Answer:
Option no C 600 minutes
Step-by-step explanation:
Given:
gallons of pool = 24000 gallon
Rate at which it is filled = 40 gallons per minute
To find :
Time taken to fill the pool=?
Solution:
We know that rate is the time in which a thing is being done at per minute or per hour or per second. In our question it is given that the rate is 40 gallons per minute which means that 40 gallons are filled in one minute
Now
In one minute = 40 gallons filled
Total pool size = 24000 gallons
Total time taken = [tex]\frac{Total pool size}{gallon filled in one minute}[/tex]
Putting in the values
Total time taken = [tex]\frac{24000}{40}[/tex]
Total time taken = 600 minutes
So the answer is option c which is 600 minutes
Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x + 2, y − 3) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.
Answers
Answer:
A' (0, -1)
B' (0, 1)
C' (4, 1)
D' (4, -1)
Step-by-step explanation:
We have the following points of a quadrilateral ABCD:
A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2)
and the rule of the translation is given by:
(x, y) ---> (x + 2, y − 3)
which means that each point will move means 3 units to the left and 4 units upwards.
So the points after transformation will be:
A(−2, 2) ---> (-2+2, 2-3) ---> A' (0, -1)
B(−2, 4) ---> (-2+2, 4-3) ---> B' (0, 1)
C(2, 4) ---> (2+2, 4-3) ---> C' (4, 1)
D(2, 2) ---> (2+2, 2-3) ---> D' (4, -1)
If we plot these points on a graph and join the corresponding vertices with line segments, then we will see that all the the lines will be parallel to each other since they followed the same rule of transformation.
The new coordinates of the transformed vertices A', B', C', and D' are:
A' (0, -1)
B' (0, 1)
C' (4, 1)
D' (4, -1)
To find the new coordinates of the transformed vertices A', B', C', and D', you need to apply the transformation rule (x + 2, y - 3) to the original coordinates of A, B, C, and D.
A' = (x + 2, y - 3)
A' = (-2 + 2, 2 - 3)
A' = (0, -1)
B' = (x + 2, y - 3)
B' = (-2 + 2, 4 - 3)
B' = (0, 1)
C' = (x + 2, y - 3)
C' = (2 + 2, 4 - 3)
C' = (4, 1)
D' = (x + 2, y - 3)
D' = (2 + 2, 2 - 3)
D' = (4, -1)
So, the new coordinates of the transformed vertices A', B', C', and D' are:
A' (0, -1)
B' (0, 1)
C' (4, 1)
D' (4, -1)
Now, let's describe the characteristics of the quadrilateral ABCD and its image A'B'C'D' when the corresponding vertices are connected with line segments:
Quadrilateral ABCD:
A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2)
ABCD is a trapezoid with two parallel sides (AB and CD) and two non-parallel sides (BC and AD).
The trapezoid is located in the first quadrant.
Image A'B'C'D':
A'(0, -1), B'(0, 1), C'(4, 1), and D'(4, -1)
A'B'C'D' is also a trapezoid with two parallel sides (A'B' and C'D') and two non-parallel sides (B'C' and A'D').
A'B'C'D' is located in a different position due to the transformation. It has been shifted 2 units to the right and 3 units down.
The transformation (x + 2, y - 3) has effectively shifted the entire quadrilateral 2 units to the right and 3 units down in the coordinate plane. The basic shape and characteristics of the trapezoid are preserved, but its position in the plane has changed.
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In 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars. Which of the following represents the national debt in scientific notation?
Answers
Answer: [tex]1.3 \times 10^{13}[/tex]
Explanation:
We are given, that in 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars.
We are required to find the national debt in scientific notation. The scientific notation is used to represent either very small number or very large number.
The scientific form of the given number is:
[tex]1.3 \times 10^{13}[/tex]
Joe ate 7 pies on wednesday. If that is only 1/4 of the world record for pie eating what is the pie record
Answers
Answer:
7 pie is the world record. That is 1/4 under the record and your Answer.
Step-by-step explanation:
Who come up with these dump questions??
In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulate
Answers
Answer:
HL = LM
Step-by-step explanation:
We have been given a diagram in which sides AH= EM and AL=EL.
Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.
SSS means (side - side - side)
Two pair of equal sides are already given so we have completed SS of SSS.
Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM
Hence final answer is HL = LM.
how many roots does the polynomial function y=(x-2)(x+3)^2 have
Answers
Answer:
3
Step-by-step explanation:
There is one root for each binomial factor.
... y = (x -2)(x +3)(x +3) . . . has 3 binomial factors
_____
The roots are the values of x that make the factors be zero.
... (x -2) = 0 when x = 2
... (x +3) = 0 when x = -3
... (x +3) = 0 when x = -3
The root at x = -3 is said to have multiplicity 2.
_____
Sometimes, we're concerned with the number of distinct roots. Since the three roots only have two different values, there are 2 distinct roots.
Step-by-step explanation:
1) Graph the function (if you don't know how you can use the website Desmos, it's an online graphing calculator.
2) Count the roots (roots are the number of times the line touches the x-axis)
Confirmed answer on ∧pe×
^just check that the equation is the exact same
b&b inc. has ordered machine parts and receives a charge of $15 for shipping and handling plus $20 per part. write an equation that represents the cost c of ordering p parts.
Answers
Answer:
C = 15 + 20*p
Step-by-step explanation:
Cost for ordering = shipping and handling plus cost per part * number of parts
C = 15 + 20*p
The linear equation representing the cost of ordering machine parts from B&B Inc. is c = 15 + 20p. This accounts for a fixed shipping cost of $15 and a variable cost of $20 per part.
Explanation:The subject of this question is linear equations in Mathematics. B&B Inc. is ordering machine parts and incurs a fixed shipping and handling cost of $15, plus a variable cost of $20 per part. The equation representing this situation can be developed with 'c' representing the total cost and 'p' representing the number of parts ordered. Considering the fixed and variable costs, the equation would be c = 15 + 20p where $15 is the fixed shipping and handling cost, and $20p represents the variable cost which depends on the number of parts ordered.
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If the smallest angle of rotation fir a regular polygon is 18 how many sides does the polygon have
Answers
360 divided by 18 which gives you 20
So the polygon has 20 sides
Hope this helps :)
He orders 5 veggie pizzas he orders enough for everybody to 5/6 of a pizzas.How many people can he feed
Answers
Answer: 25 people
Step-by-step explanation: 6 x 5 = 30 30-5 = 25
Which property is illustrated by the following statement statement
Answers
Answer:
C) Symmetric
Step-by-step explanation:
The symmetric property is the idea that if A = B, then B = A. Flipping the equation around doesn't matter.
It's like saying 2+3 = 5 is the same as 5 = 2+3. We can extend the symmetric property to not only deal with equations, but include congruence statements as well.
Answer:symmetric
Step-by-step explanation: a p e x
Which binomial expressions are factors of 5x^3+8x^2-7x-6
Answers
Answer:
x - 1 and x + 2
Step-by-step explanation:
By the factor theorem if (x - a) is a factor then f(a) = 0.
Try x - 1:_
f(1) = 5(1)^3 + 8(1)^2 - 7 - 6
= 5 + 8 - 7 - 7
= 0 so x - 1 is a factor
We can find the other factors by long division:-
5x^2 + 13x + 6
-----------------------------------
x - 1 ) 5x^3 + 8x^2 - 7x - 6
5x^3 - 5x^2
--------------------
13x^2 - 7x
13x^2 - 13x
------------------
6x - 6
6x - 6
-----------------
5x^2 + 13x + 6 = (5x + 3)(x + 2)
1)Meesha has a pocket full of change consisting of dimes and quarters. The total value is $3.15. There are 7 more quarters than dimes. How many of each coin are there?
2)How much pure bleach must be combined with a solution that is 4% bleach to make 12oz of a 12% bleach solution?
Please help me
Answers
Answer:
1) 11 quaters and 4 dimes
Step-by-step explanation:
1) 11 quaters = 2.75
4 dimes = .40
$2.75 + .40 = 3.15
Final answer:
Meesha has 4 dimes and 11 quarters. To make a 12oz 12% bleach solution, 1 ounce of pure bleach must be combined with a 4% solution.
Explanation:
Solving Coin and Bleach Solution Problems
Problem 1: Coin Combination
Meesha has dimes and quarters adding up to $3.15, with 7 more quarters than dimes. To solve this, let's denote the number of dimes as d and the number of quarters as q. We have two equations based on the problem statement:
0.10d + 0.25q = 3.15 (The total value in dollars.)
q = d + 7 (There are 7 more quarters than dimes.)
Substituting the second equation into the first gives:
0.10d + 0.25(d + 7) = 3.15
This simplifies to:
0.10d + 0.25d + 1.75 = 3.15
Combining like terms:
0.35d = 3.15 - 1.75
0.35d = 1.40
Dividing both sides by 0.35 gives:
d = 1.40 / 0.35 = 4
Therefore, there are 4 dimes and substituting back:
q = 4 + 7 = 11 quarters.
Problem 2: Mixing Bleach Solutions
To make a 12oz 12% bleach solution from a 4% solution, let's denote the amount of pure bleach needed as b ounces. The amount of 4% solution would then be 12 - b ounces. The equation representing the mixture is:
(12 - b) * 0.04 + b = 12 * 0.12
This simplifies to:
0.48 - 0.04b + b = 1.44
0.96b = 0.96
b = 0.96 / 0.96 = 1 ounce of pure bleach is needed.
The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove that RMBS is a rhombus. Show all your work and state appropriate formulas and theorems used.
Answers
To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.
Sides:
[tex]d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}[/tex]
[tex]=\sqrt{(-5)^2+(1)^2}[/tex]
[tex]=\sqrt{25+1}[/tex]
[tex]=\sqrt{26}[/tex]
[tex]d_{MB}=\sqrt{(1-2)^2+(4+1)^2}[/tex]
[tex]=\sqrt{(-1)^2+(15)^2}[/tex]
[tex]=\sqrt{1+25}[/tex]
[tex]=\sqrt{26}[/tex]
[tex]d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}[/tex]
[tex]=\sqrt{(5)^2+(-1)^2}[/tex]
[tex]=\sqrt{25+1}[/tex]
[tex]=\sqrt{26}[/tex]
[tex]d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}[/tex]
[tex]=\sqrt{(1)^2+(-5)^2}[/tex]
[tex]=\sqrt{1+25}[/tex]
[tex]=\sqrt{26}[/tex]
[tex]\overline{RM}[/tex] ≅ [tex]\overline{MB}[/tex] ≅ [tex]\overline{BS}[/tex] ≅ [tex]\overline{SR}[/tex]
Diagonals:
Use the slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m_{RB}=\dfrac{5+1}{-4-2}[/tex]
[tex]=\dfrac{6}{-6}[/tex]
= -1
[tex]m_{MS}=\dfrac{4-0}{1+3}[/tex]
[tex]=\dfrac{4}{4}[/tex]
= 1
Slopes are opposite reciprocals so they are perpendicular.
***************************************************************************
All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.
write an equation in slope- intercept form y=mx=b of the line through point p(6,7) with slope -2
Answers
Answer:
The equation would be y = -2x + 19
Step-by-step explanation:
To find this, we can use the point and the slope in point-slope form. The we solve for y.
y - y1 = m(x - x1)
y - 7 = -2(x - 6)
y - 7 = -2x + 12
y = -2x + 19
To write an equation in slope-intercept form, use the formula y = mx + b. In this case, substitute the given point and slope into the equation.
Explanation:To write an equation in slope-intercept form, we need to use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, we are given a point P(6,7) and a slope of -2. We can substitute these values into the equation to find the y-intercept.
Using the point-slope form of the equation: y - y1 = m(x - x1), we substitute x1 = 6, y1 = 7, and m = -2. This gives us the equation: y - 7 = -2(x - 6).
Distributing the -2 on the right side of the equation, we get: y - 7 = -2x + 12. Finally, we can rearrange the equation to slope-intercept form by isolating y on one side: y = -2x + 12 + 7, which simplifies to y = -2x + 19.
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Which functions are continuous at x= -2? Select all that apply.
Answers
Answer:
(i) and (iii)
Step-by-step explanation:
for i)
f(x) = [tex]\frac{x^{2}-4}{x+2}[/tex]
=[tex]\frac{(x+2)(x-2)}{x+2}[/tex]
=(x-2)
As x =-2
f(x)=-2-2
f(x)=-4
so it is a continuous function
for ii)
from the result of (i) we can deduce the result of second and we see that it is not equal to zero so it is not a continuous function
iii)
f(x)=[tex]\frac{x^{2}+4x+4}{x+2}[/tex]
f(x)=[tex]\frac{(x+2)^{2}}{x+2}[/tex]
f(x)=[tex]\frac{(x+2)(x+2)}{x+2}[/tex]
f(x)=x+2
as x= -2
f(x)=-2+2
f(x)=0
so it is a continuous function
iv) From the result of iii we can deduct that
f(x)=0 because it have the same equation so it is not a continuous function
Answer:
The first and third functions are continuous at x=-2
Step-by-step explanation:
Please, see the attached files.
Thanks.
Find the least common multiple. 30, 25, and 4 a. 60 b. 3,000 c. 300 d. 150
Answers
Answer:
The least common multiple is 4.
Step-by-step explanation:
math help will mark brainliest please give an explanation on how you got the answer
Answers
Answer:
It would be 2/13 because imagine being given 4 decks of 13 cards and you have. Higher chance of having one to two of an ace or king in the deck compared to pulling none to all four. So 2/13 due to the ratio of 13
In a recent survey 55% of pet owners have more than one pet if there was 620 pet owners survey which proportion could be used to find the number who owned more than one pet
Answers
Answer:
341..
Step-by-step explanation:
i would personally say 341 because 620 multiplied by 55% or .55, as written on a calculator, would be 341.
Answer: if you are looking to put it in a proportional relationship you get the same answer but I can show you how to do it.
Step-by-step explanation:
55/ 100 ✖️ n/620=
34100/100 equals 100n ➗ 100 equals 341= n
1. What is the smallest whole number greater than √30 + √50 + √110?
2. For how many single-digit positive integers d are there an integer n for which the units digit of [tex]d^{n}[/tex] is 6?
3. A rectangular prism with whole number dimensions has faces with areas 54, 72, and 108 square inches. How many cubic inches are there in its volume?
60 points! Partial answers accepted as well.
Answers
Find the value of x in the figure below:
20
60
180
40
Answers
Answer:
40
Step-by-step explanation:
x + 2x + x + 20 = 180
4x + 20 = 180
4x = 160
x = 40
Answer:
Step-by-step explanation:
x=40
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $270. The store has a sale where all bicycles cost 4 9 of the regular price. What is the sale price of the bicycle?
Answers
Answer:
The sale price of the bicycle is $120.
Step-by-step explanation:
To find the amount, simply multiply the cost by the fraction of the cost that you are paying.
$270 * 4/9 = $120
This would be the cost of the bike.