Answer:
4.61
Step-by-step explanation:
Step-by-step explanation:
[tex] = 4 \frac{2}{4} + \frac{1}{9} \\ = \frac{4 \times 4 + 2}{4} + \frac{1}{9} \\ = \frac{18}{4} + \frac{1}{9} [/tex]
Find the LCM
[tex] = \frac{18}{4} \times \frac{9}{9} + \frac{1}{9} \times \frac{4}{4} \\ = \frac{162}{36} + \frac{4}{36} \\ = \frac{166}{36} [/tex]
Convert into lowest term
[tex] \frac{83}{16} \\ [/tex]
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg
How to model exponential equationsThe standard form of an exponential equation is given as:
[tex]y=a(1-r)^t[/tex]
where;
y= total amounta= starting amountr= the growth rate as a decimalt= number of growth periodsGiven the following parameters
a = 550mg
r = 0.25
t = 12
Substitute into the formula
[tex]y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg[/tex]
Hence the amount that will be left after 12 hours is 17.42mg
Learn more on exponential equation here: https://brainly.com/question/12940982
A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the approximate volume of the soup can?
Answer:
673.82 cm³
Explanation:
soup can are usually in the form of a cylinder.cylinder volume : [tex]\sf \pi r^2h[/tex]
[tex]\rightarrow \sf \pi (4.3)^2(11.6)[/tex]
[tex]\rightarrow \sf 673.82 \ cm^3[/tex]
In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town.
Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females?
6
24
96
108
Answer:
(b) 24
Step-by-step explanation:
The given variable definitions and the given relationships let us write these statements:
LH males = 4 × LH females = 4x
RH females = 3 × RH males = 3y
LH males + RH males = 204 = 4x +y
RH females + LH females = 348 = 3y +x
Your favorite method of solving equations of this sort can tell you ...
(x, y) = (24, 108)
There are 24 left-handed females.
__
Additional comment
Other numbers involved here are ...
y = 108 . . . . right-handed males
204-108 = 96 . . . . left-handed males (=4×24)
348-24 = 324 . . . . right-handed females (=3×108)
__
If you want to solve the equations by hand, you can use substitution for y to get an equation in x:
3(204 -4x) +x = 348 ⇒ -11x = -264 ⇒ x = 24
Directions: Select all correct answers.
Select all situation representing independent events.
Question 7 options:
Spinning spinner two times.
Rolling a die and then flipping a coin.
Taking one candy out of a bag of candies, eating it, and then taking another candy.
Taking a card from a set of ten cards, replacing it, and then, taking another card.
Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.
Taking a card from a set of ten card, not replacing it, and then taking another card.
Answer:
Step-by-step explanation:
Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
So, the definite integral [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
Given that
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]
We find
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
Definite integralsDefinite integrals are integral values that are obtained by integrating a function between two values.
So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]
Since
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],
Substituting this into the equation the equation, we have
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
Learn more about definite integrals here:
https://brainly.com/question/17074932
The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
What is a definite integral?A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.
The given function is;
[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]
Calculation of the value of the function by using integration;
[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]
Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
To know more about definite integration click the link given below.
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#SPJ4
What is the value of the expression below?
-(-4)(-6)-3/5(10+15)
______________
1/3
A) -117
B) -13
C) 3
D) 27
Answer:
Answer is A
- 117
_______________________________________
Answer:
ay wee tologo bo sharmaine?
12
Devonte and 19 other students are in
an afterschool robotics program. In order to
attend the state's competition they need to
raise $835.72 for transportation and other
expenses. So far, they have raised $311.12. If
each of the team members were to split the
remaining amount evenly, how much would each
team member be responsible for contributing?
A. $26.23
C. $41.79
B. $15.56
D. $57.34
The area of the triangle below is 3/40
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b = 3/4
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
3/ 40 = 1/2 b ( 1/5)
Multiply
3/40 = 1/10 b
Multiply each side by 10
10 *3/40 = 10* 1/10 b
3/4 = b
Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2
Answer:
H2O = liquid (l)
CO2 = gas (g)
CuCO3 = solid (s)
Step-by-step explanation:
H2O is water
CO2 is carbon dioxide
CuCO3 is copper carbonate
What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
To get more about the median visit:
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how to tell if something is cubed or squared being ft^3 or ft^2
Answer:
Check the power
Step-by-step explanation:
You can tell if a quantity has been cubed or squared by looking at its power.
For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape
Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape
===========================================================
If something is squared, it's multiplied times itself 2 times.
Example:-
[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]
You should also notice that the exponent of 4 is 2.
So if something is squared, its exponent is 2.
If something is cubed, it's multiplied times itself 3 times.
Example:-
[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]
You should also notice that the exponent of 4 is 3.
So if something is cubed, its exponent is 3.
=======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
I need help. SO confused
Answer:
The answer would be 1/4% or 25%.
Step-by-step explanation:
The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.
The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...
Based on the scores in the final exam, the five number summary of the class is:
Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?The minimum is the smallest score of 60. The maximum will be the largest score of 98.
The lower quartile can be found by the formula:
= (Second score + Third score) / 2
= (65 + 78) / 2
= 71.5.
The upper quartile is:
= (Third to last score + Second to last score) / 2
= (93 + 95) / 2
= 94
The median is:
= (5th score + 6th score) / 2
= (82 + 88) / 2
= 85
Find out more on the five number summary at https://brainly.com/question/24809873.
A 50kg ball rolls off a building it is going 5 m/s when it hits the ground. How tall is the building
Answer:
1.25m
Step-by-step explanation:
s=ut+1/2gt^2
Newton's second law of motion
F=ma
50x10
500N
500/50
g/a=10m/s^2
u=0m/s
s= 1/2gt^2
v=u+gt
5=0+(10t)
5=10t
t=0.5s
s=0.5×10×(0.5)^2
=1.25m
A school needs 138 5 meters of fencing for a new playground Fencing is
sold in 12-foot sections. How many sections of fencing should be
purchased to fence the playground? PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!
Answer:
12 Sections
Step-by-step explanation:
With 138.5 meters needed and fencing being purchased in 12-foot sections, you would need 12 sections purchased. 138.5/12=11.54, this is rounded up to 12 because of the purchase size.
HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?
show your work below
Answer:
11.25 kg
Explanation:
1 bag of marbles → 45 grams
250 bags → (45 *250) = 11250 grams
Conversion:
1 kg ↔ 1000 grams
So,
11250 g → (11250/1000) kg = 11.25 kg
Answer:
11.25 kg
Step-by-step explanation:
One bag of marbles = 45 g
⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g
1000 g = 1 kg
⇒ 11250 g ÷ 1000 = 11.25 kg
What is the value of s
O-1
0 0
O 1
O no solution
Answer: -1
Step-by-step explanation:
ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected again across the x-axis
Select the angle vertex that corresponds to angle A
Answer: Leftmost vertex
Step-by-step explanation:
(20 points)
Find x:
(x−2)^2=25
pls show steps so I understand lol
Answer:
(-3, 7)
Step-by-step explanation:
ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5
subtract 2 from both sides, and you get x=(+-)5+2
Solving for x we get -5+2=-3
and also
5+2=7 since there was a positive, and a negative 5.
therefore x would equal (-3, 7)
hope this helps, please mark as brainliest.
A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola open? up down right left.
The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
What is a directrix?A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
Learn more about Directrix:
https://brainly.com/question/2629634
Answer:
right
Step-by-step explanation:
Anthony deposits $800 into a savings account that carns 3.5% interest annually.
after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828
after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²
so
after n years he will get : 800 x 1,035ⁿ
Answer:
Step-by-step explanation:
800 x 1,035ⁿ
Please help I'll mark brainliest.
Answer:
Step-by-step explanation:
10
12
8
13
13
7
6
12
9
10
11
9
120
Total = 120
Number of entrees = 12
Mean = 120 / 12
Mean = 10
The number 175 is 25% of what number?
Answer:
700
Step-by-step explanation:
If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Answer: 700
Step-by-step explanation:
175 * 4 = 700
700 / 4 = 175
What is the frequency?
Answer:
Its A
Step-by-step explanation:
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Step-by-step explanation:
A survey stopped men and women at random to ask them where they purchased
groceries, at a local grocery store or online.
How many men surveyed shop at a local grocery store.
If a person is behind on his debt payments and goes to a responsible credit counseling service, what help is likely to be offered?
a.They can cancel and cut up his credit cards without his permission.
b.They can force those who loaned him money to forgive his debts.
c.They can get the federal government to apply his income taxes to pay off his debts.
d.They can work with those who loaned him the money to set up a realistic payment schedule.
Answer:
d
Step-by-step explanation:
I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic
Which angles are complementary to each other?
Answer:
<1 and <2
Step-by-step explanation:
Complementary angles are two angles which their measure add up to 90 degrees.
There are only one angle pair that meet this requirement:
angle 2 and angle 1
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2. 5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8. 5 feet. The scale factor is divided by 2. 5 to get the dimensions of the model.
The correct option for a regular hexagon is b) Each side of the model is
15 feet long. and c) The model is proportional to the original hexagon.
What is a regular hexagon?A regular hexagon is defined as a closed shape consisting of six equal
sides and six equal angles. The sum of the measure of angles of a
regular hexagon is 120 degrees.
It is given that a hexagon with side lengths of 2. 5 feet.
The scale factor is 6.
Since scale factor = new length/original length,
new length = scale factor × original length
= 6 × 2.5 feet
= 15 feet.
Also, each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.
Learn more about a regular hexagon;
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Urgent!!! Need help Please!!
Find the area of the triangle.
a. 620 sq. m b. 270 sq. m c. 540 sq. m d. 980 sq. m
Answer:
270 sq. m [b]
Step-by-step explanation:
So the area of a triangle is 1/2 bh (1/2 of base x height).
The base of the triangle shown is 20m. The height is 27m.
(1/2) (20)(27) = 270.
The area of this triangle is 270 sq. m (b)