Answer:
0.0625
Step-by-step explanation:
If the function f(x) varies inversely with x, then this function is of the form
[tex]f(x)=\dfrac{a}{x},[/tex]
where a is unknown number.
Since f(x)=0.5 when x =0.3, then
[tex]0.5=\dfrac{a}{0.3},\\ \\a=0.5\cdot 0.3=0.15.[/tex]
Therefore, the function is
[tex]f(x)=\dfrac{0.15}{x},[/tex]
Now when x=2.4,
[tex]f(2.4)=\dfrac{0.15}{2.4}=\dfrac{15}{240}=\dfrac{1}{16}=0.0625.[/tex]
hey can someone help me please!!!
Mrs.Jones is a swim lesson instructor.For each lesson, she charges $35 for the pool usage fee plus $35 per hour . Write an equation that can be used to find y, the total charge of the swim lesson, if x represent the number of hours of lessons
Answer: The equation will be set up as y=mx+b. Mrs. Jones charges $35 per hour, so we can substitute m for 35 with x representing the number of hours. The $35 for pool usage fee will be substituted for b.
The answer then is y=35x+35
98 points- Math help, PROBABILITY
For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the probability of randomly selecting a member who likes to sew is 23%, and the probability of randomly selecting a member who likes to both cook and sew is 7%.
What is the probability of randomly selecting a member who likes to cook or likes to sew?
For two events A and B,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
We're given all of the probabilities on the right hand side:
[tex]P(\text{cook OR sew})=P(\text{cook})+P(\text{sew})-P(\text{cook AND sew})[/tex]
[tex]\implies P(\text{cook OR sew})=42\%+23\%-7\%=58\%[/tex]
The keyword here is "or", this means it wants the probability of finding a person who likes to cook -- or a person who likes to sew.
We are given both of these probabilities, and to find the probability of finding someone who likes to do activity A OR activity B, we simply add the probability of activity A and activity B.
42 + 23 = 65% of members like to cook or like to sew.
can someone please help me figure out the scale factor!?
Answer: The scale factor is 3
Divide the two volumes (larger over small) to find that (21870pi)/(810pi) = 27. This means that the larger volume is 27 times bigger than the smaller volume.
From here, you apply the cube root to this result to get 3. Note how 3 cubed = 3^3 = 3*3*3 = 27.
The linear scale factor is 3. The larger figure has a radius 3 times larger than its counter part in the smaller cone. The same applies to the heights as well.
Write the equation of a line that is parallel to the following:
1. x = 5
2. y = -3
Answer:
1. x=6
2. y=2
Step-by-step explanation:
If x=5, the line is vertical, so we need a vertical line so that we are parallel. A vertical line is x= a constant
We can choose the value for x as long as it is not 5, that would make it the same line. I will choose x=6
If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel. A horizontal line is y= constant
We can choose the value for y as long as it is not -3, that would make it the same line. I will choose y=2
A cell phone company charges a monthly fee plus $0.25dollars for each text message you send. The monthly fee is $30.00. You owe $59.50. How many text messages did you send?
Answer:
118
Step-by-step explanation:
simple:
59.50 - 30.00=29.50
29.50 divided by 0.25= 118
in equation form
y=mx+b
59.50=0.25(x)+30.00
so the output (y) is the total money owed (59.50) and the 0.25 cents is the slope or unit rate and the 30.00 in this context is the monthly fee. So to find x= number of texts sent, you have to firstly get rid of the monthly fee, you subtract 30.00 by itself so it cancels out and you gotta do the same to the other side (the output), ( 59.50 - 30.00)= 29.50 and after that you have the remaining of 29.50=0.25x , now you have to divide 0.25 to both sides so 0.25/0.25=1 and basically 1x=x , now you divide 29.50/0.25=118 now you solved for x! The amount of texts sent=118
The amount of a radioactive isotope decays in half every year.the amount of the isotope can be modeled by f(x)=346(1/2)^x and f(1)=173 what does the 1/2 represent
Answer: 1/2 is the value b such that (b)^1 = 1/2, the fraction the isotope decays in one year.
Step-by-step explanation:
He orders 5 veggie pizzas he orders enough for everybody to 5/6 of a pizzas.How many people can he feed
Answer:
25 people
Step-by-step explanation: 6 x 5 = 30 30-5 = 25
9/25 ddivided by 729/1000
Answer:
40/81
Step-by-step explanation:
9/25 ÷ 729/1000
We can use copy dot flip
9/25 * 1000/729
I will rewrite to make the math easier
9/729 * 1000/25
9 goes into 729 81 times
1/81 * 1000/25
25 goes into 1000 40 times
1/81 * 40/1
40/81
Carter drink 15.75 gallons of water in 4 weeks he drank the same amount of water each day estimate how many gallons he drank in one day
Answer:
Carol drank 0.5625 gallon of water in one day.
Step-by-step explanation:
Carter drink 15.75 gallons of water in 4 weeks. Each week consists of 7 days, then there are [tex]4\cdot 7=28[/tex] days in for weeks.
If he drank the same amount of water each day, then he drank in one day
[tex]15.75:28=0.5625[/tex] gallon of water.
Find the length of the midsegment.
15
13
22
44
Answer:
Its 22
Step-by-step explanation:
By the mid segment theorem:-
3x + 32 = 2(5x + 2)
3x + 32 = 10x + 4
28 = 7x
x = 4
So mid segment = 5(4) = 2 = 22
If Jennifer makes $12 per hour and works 48 hours each week. She gets paid holidays off and 1 week of paid vacation. How much money does Jennifer make each year? There are 52 weeks in a year.
Answer:
If you multiply (12 x 48), you figure out how much she makes in a week ($576 a week). Then if there is 52 weeks in a year, subtract the number of weeks she gets off from 52, and multiply that number by 576 to get how much she is paid in a year. What I got from this, is that she has 1 week off. So my answer is she gets paid $29,376 a year. I hope this helps!
If any number, b,is raised to a positive integer exponent, n,what is the inverse operation?
how many faces does a icosahedron have?
A.)12
B.)10
C.)8
D.)20
An icosahedron have 20 faces. So the correct Option is D.
An icosahedron is a three-dimensional geometric shape known as a polyhedron. It is characterized by having 20 faces, making it an interesting and unique structure in geometry.
An icosahedron is one of the five Platonic solids, which are regular polyhedra with equal faces and angles. To understand why an icosahedron has 20 faces, we can break down its construction.
1. Vertices (V): An icosahedron has 12 vertices. Each vertex is a point where three edges of the polyhedron meet.
2. Edges (E): There are 30 edges in an icosahedron. These are the straight lines connecting the vertices.
3. Faces (F): Now, to find the number of faces, we can use Euler's formula, which states that for any polyhedron, V - E + F = 2. This formula relates the number of vertices, edges, and faces of a convex polyhedron.
Plugging in the values, we get: 12 (vertices) - 30 (edges) + F (number of faces) = 2
Solving for F, we get: F = 20
Thus, an icosahedron has 20 faces, represented by 20 flat surfaces, each of which is an equilateral triangle. Each vertex is shared by five triangles, and each edge is shared by two triangles.
The keyword "icosahedron" refers to the specific three-dimensional shape with 20 faces, while "Platonic solids" refers to the family of regular polyhedra with equal faces and angles. Euler's formula is essential for understanding the relationship between vertices, edges, and faces of polyhedra.
To know more about Icosahedron here
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what does this mean exactly? there was nothing wrong with my question. it was just math. @admin or someone, can y'all explain? please don't take this down, I just want to understand it.
Answer:
It was part of an exam that someone recognized apparently. It's for the best, trust me. Maybe its just because it may have been asking for answers, not help.
Step-by-step explanation:
They did that to me and took everything from me! I was ranked expert and it was all gone! My answer wasn't even wrong! I have 83 answered questions and they took it all... FOR NO REASON
I answered someones questioned and they deleted it and gave me warning
What is the value of x
Answer:
x=36
Step-by-step explanation:
We know the three angles of a triangle add to 180 degrees
x + 65+ 79 = 180
Combine like terms
x+144 = 180
Subtract 144 from each side
x+144-144 = 180-144
x = 36
Mr.Moore read 25 pages of a book on Monday. He read 32 pages on Tuesday, 39 pages on wensday and 46 pages on Thursday. If this pattern countunies ma y pages
Answer:
Step-by-step explanation: by Saturday,, he would have read 25 + 32 + 39 +46 +53 +60 =255 pages. Note the number of pages read increases by 7 each day
find the sum of the geometric series. 14-7+(7/2)-(7/4)+
Answer: B on edg
Step-by-step explanation:
28/3
Ayden had a goal of finishing painting at least 80% of the 500 square meters of a houses walls by today. He finishes 415 meters today. Did ayden meet his goal? How many square meters less than his goal did he paint?
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
A population of bacteria is growing according to the exponential model P = 100e^(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]
Answer: B
Step-by-step explanation:
[tex]P=100e^{(.70)t}[/tex]
[tex]300=100e^{.7t}[/tex]
[tex]3=e^{.7t}[/tex]
[tex]ln3=lne^{.7t}[/tex]
[tex]ln3=.7t[/tex]
[tex]\dfrac{ln3}{.7}=t[/tex]
1.6 = t
Answer:
Option B. 1.6 Hours
Step-by-step explanation:
The model for the population of bacteria is growing by :
[tex]P=100e^{(0.70)t}[/tex]
Where P = Number of colonies
and t = time in hours.
So, now put the value of P = 300 in the given model and obtain the value of t.
⇒ [tex]300=100e^{(0.70)t}[/tex]
⇒ [tex]3=e^{(0.7)t}[/tex]
Taking the natural log in on both the side
⇒ [tex]In3=Ine^{(0.7)t}[/tex]
⇒ [tex]In3=0.7t[/tex]
⇒ [tex]t=\frac{In3}{0.7}[/tex]
⇒ t = 1.6 hours
Therefore, The correct option is B). 1.6 hours
Answer fast please!
The triangles below are similar.
(look at picture)
Which similarity statements describe the relationship between the two triangles? Check all that apply.
(look at answer choices)
(check all that apply)
Answer: The answer is (A) ΔCBA similar to ΔFED, (D) ΔBAC similar to ΔEDF and (E) ΔABC similar to ΔDEF.
Step-by-step explanation: We are given a figure in which two similar triangles are shown. We are to select all the correct similarity statements that describes the relationship between the two triangles.
In ΔABC, we have
∠B is the right angle, AC is the hypotenuse and AB is the shortest side.
Similarly, ΔDEF, we have
∠E is the right angle, DF is the hypotenuse and DE is the shortest side.
Therefore, the corresponding pairs of vertices in the two triangles will be
(A and D), (B and E) and (C and F).
Hence, the correct similarity statements are
ΔCBA similar to ΔFED,
ΔBAC similar to ΔEDF
and
(E) ΔABC similar to ΔDEF.
Thus, (A), (D) and (E) are the correct options.
Please help on this one ?
Which of the following classifications is NOT correct?
(Chemistry Not Math Wrong Subject) -- Change Admin
Noble gases - 8 valence electrons
Halogens - 6 valence electrons
Transition metals - number of valence electrons varies
Alkali Rare Earth metals - 2 valence electrons
Answer:
Halogens - 6 valence electrons
Step-by-step explanation:
Valence electrons are the number of electrons present in the outermost shell of the atom.
Noble gases have 8 valence electrons which is the maximum and are stable. They are inert by nature since they don't have to combine with any other element to attain stability.
Halogens have 7 valence electrons. They are high electronegative and have great attraction for electrons so that they can attain stability by forming the octet.
The valence electrons in transition metals varies as a group of columns are named transition metals.
Alkali earth metals has two valence electrons.
Hence the incorrect statement here is
Halogens - 6 valence electrons
Which graph represents the function? f(x)=(x+2)^2 if x<−1
|x|+1 if −1≤x≤1
−√x if x>1
Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function [tex]y=-\sqrt{x}[/tex] if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x [tex]y=-\sqrt{x}[/tex]
1 [tex]-\sqrt{1}=-1[/tex]
4 [tex]-\sqrt{4}=-2[/tex]
Plot all the point on the graph
Correct graph is attached below
Polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the origin as the center of dilation: Two polygons are drawn on a coordinate grid. Polygon PQRST has vertices at P 0 and negative 3, Q 3 and negative 2, R 3 and 1, S 0 and 2, T negative 2 and 0. Polygon P prime Q prime R prime S prime T prime has vertices at P prime 0 and negative 9, Q prime 9 and negative 6, R prime 9 and 3, S prime 0 and 6, and T prime negative 6 and 0. Which statement about corresponding sides and angles of the two polygons is correct? The measures of angle Q and angle Q' are in the ratio 1:3. The length of side TS is equal to the length of side T'S'. The length of diagonal RT is equal to the length of diagonal R'T'. The lengths of side SR and side S'R' are in the ratio 1:3.
Answer:
D is the answer
Answer:
The correct option is 4. The lengths of side SR and side S'R' are in the ratio 1:3.
Step-by-step explanation:
The vertices of polygon are P(0,-3), Q(3,-2), R(3,1), S(0,2), T(-2,0).
The vertices of image are P'(0,-9), Q'(9,-6), R'(9,3), S'(0,6), T'(-6,0).
It is given that polygon P'Q'R'S'T' is the image of polygon PQRST after dilation with a scale factor of 3. It means both polygons are similar.
The corresponding angles of similar figure and same and the corresponding sides are proportional. It means the sides of image are three times of the corresponding sides of pre-image.
SR and S'R' are corresponding sides.
[tex]S'R'=3\times SR[/tex]
[tex]\frac{S'R'}{3}=SR[/tex]
[tex]\frac{1}{3}=\frac{SR}{S'R'}[/tex]
[tex]1:3=SR:S'R'[/tex]
The lengths of side SR and side S'R' are in the ratio 1:3.
Therefore the correct option is 4.
Sam can prepare 20 wall paintings in four weeks.How much time will he need to prepare 80 wall paintings
Note how 80 is four times 20. So, 4*4=16. Sam can prepare 80 wall paints in 16 weeks.
NEED MATH EXPERT! Which of the following best describes the relationship between (x + 1) and the polynomial x2 - x - 2?
A.It is impossible to tell whether (x + 1) is a factor.
B.(x + 1) is not a factor.
C.(x + 1) is a factor.
Answer: C. (x+1) is a factor
Step-by-step explanation:
First we need to factor the polynomial x^2 - x - 2.
It is written in the form ax^2 + bx + c
a = 1
b = -1
c = -2
Since the coefficient in front of x^2 is 1 we can start with (x + _) (x + _).
Now we need to find a pair of numbers that when multiplied together equal -2 (c) and when added together equal -1 (b).
The only pairs of numbers that multiply to make -2 are: -2 and 1, -1 and 2
The pair must also equal -1 when added together.
-1 + 2 = 1
-2 + 1 = -1
Therefore, to fill in the blanks for (x+_)(x+_) we should use -2 and 1.
x^2 - x - 2 factored becomes: (x-2)(x+1)
As you can see, (x+1) is a factor of x^2 - x - 2, so you can select c.
If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment. Show equations and all work that leads to your answer.
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
14.What is the solution of the system?
4x-y= - 3
6x-y= - 8
15.What is the solution of the system?
5x+6y=20
9x+11y=32
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11( 5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
An engineer on the ground is looking at the top of a building. The angle of elevation to the top of a buliding. The angle of elevation to the top of the building is 22°. The engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
Answer:
1,114 ft
Step-by-step explanation: