Answer: 0
Step-by-step explanation:
Step 1: factor left side of equation
y(5y^2-3y+8)=0
Step 2: set factors to equal zero
y=0 or 5y^2-3y+8=0
y=0
Olivia hopes to complete 45 of the levels of her computer game by the end of the week. So far, she has completed 23 of the levels. What part of the levels must she still complete to meet her goal?
Answer:
2/15
Step-by-step explanation:
Determine whether the polygons are similar, please help.
Answer:
yes I just checked it
Step-by-step explanation:
Find the surface area of this triangular promise correct unit
The surface area of the triangular prism would be =324,000cm²
How to calculate the triangular surface area of the given prism?To calculate the surface area of the triangular prism the formula that should be given would be as follows:
Surface area of triangular prism;
Surface area of triangular prism;= bh+(b1+b2+b3)l
where:
base length = 20cm
height = 15cm
length = 18cm
SA = 20×15(20+15+25)×18
= 300×60×18
= 324,000cm²
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What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Find the errors and correct the following mathematical sentences.
Answer:
3(x-9) = 3x-3(9) = 3x-27
2x+3x = 5x
4p+3p+2p+p-9p = 7p+2p+p-9p = 10p-9p = p
Let me know if this helps!
Answer:
Here. These are the corrections
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 5%. if the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (round your answer to one decimal place.)
The half-life of the radioactive substance is approximately 59.1 hours.
Let's denote the amount of the radioactive substance present at time t by M(t). We know that at time t=0, M(0) = 100 mg.
After 6 hours, the mass decreased by 5%, which means that 95% of the initial mass remains. Therefore, we have:
M(6) = 0.95 x M(0) = 0.95 x 100 mg = 95 mg
We also know that the rate of decay is proportional to the amount of the substance present at time t. This means we can write a differential equation for M(t):
dM/dt = kM
where k is the proportionality constant. The solution to this differential equation is:
M(t) = M(0) e^kt
To find the half-life of the substance, we need to find the value of t for which M(t) = M(0)/2. Substituting this into the equation above, we get:
M(0)/2 = M(0) e^kt
Simplifying and solving for k, we get:
k = ln(1/2) / t1/2
where t1/2 is the half-life of the substance.
Substituting the values we know, we get:
95 = 100 e^6k
Solving for k, we get:
k = ln(95/100) / 6 = -0.0117
Substituting this value of k into the equation for k above, we get:
t1/2 = ln(1/2) / (-0.0117) ≈ 59.1 hours
Therefore, the half-life of the radioactive substance is approximately 59.1 hours.
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Use angles shown to make other angles ... Please help.. I know I have a lot of these but help ...
The right answer is <DEF and <GHJ.
EXPLANATION:
if we add 40 degree and 50 degree then it will result to 90 degree .
Right angles are those angles which is exactly 90 degree.
Hope it will help you.....
Follow me for more....-pragya~~
Step-by-step explanation:
angles GHJ and DEF
50+40=90
Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Find the oils for and the odds against the event rolling a fair die and getting a 3, a 2, a 6, or a 4
Answer:
See below ↓↓↓↓
Step-by-step explanation:
⇒ 3
Odds for : 1/6Odds against : 5/6⇒ 2
Odds for : 1/6Odds against : 5/6⇒ 6
Odds for : 1/6Odds against : 5/6⇒ 4
Odds for : 1/6Odds against : 5/6Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Given the function g(x)= -x^2 + x + 5, determine the average rate of change of the function over the interval -4 ≤ x ≤ 3.
Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:
\(g(x)=-x^2+x+5\)
And we want to find the average rate of change over the interval:
\(-4\leq x\leq 3\)
The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:
\(g(-4)=-(-4)^2+(-4)+5=-15\)
And our second endpoint is given by:
\(g(3)=-(3)^2+(3)+5=-1\)
This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:
\(\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2\)
The average rate of change is 2.
Lines of latitude, also called parallels, do what?
Answer: Lines of latitude (parallels) run east-west around the globe and are used to measure distances NORTH and SOUTH of the equator.
Step-by-step explanation:
Step-by-step explanation:
yeah what guy below me or above me said
Can you help me with question 34 from the picture
The total was 18.55
The tax was 6%
cost before tax was x
x * ( 1.06) = 18.55
Divide each side by 1.06
x = 18.55/1.06
x =17.5
This is the price of all the items before tax
The 4 items on the receipt are 2,6,3,4 = 15
17.5 - 15 = 2.5
The missing item must be 2.50
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
The child will have $9.92 in his piggy bank.
What is basic arithmetic operations?
Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.
The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.
After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.
Hence, the child will have $9.92 in his piggy bank.
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Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,
4.9x - (- 3) = 12.8.
4.9x + 3 = 12.8
4.9x = 12.8 - 3.
4.9x = 9.8.
x = 9.8/4.9.
x = 2.
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The expression 12x + 6 can be used
to describe a sequence algebraically. Which of the following could be the first
five numbers in this sequence?
A 6, 12, 18, 24, 30
B 6, 18, 24, 36, 42
C 18, 30, 42, 54, 66
D 18, 36, 54, 72, 90
The first five terms of the given sequence are:
C: 18, 30, 42, 54, 66
How to find the nth term of a sequence?The formula for the nth term of an arithmetic sequence is expressed as:
aₙ = a + (n - 1)d
where:
a is first term
d is common difference
n is number of term
The formula for the sequence is 12x + 6. Thus:
First term = 12(1) + 6 = 18
Second term = 12(2) + 6 = 30
Third term = 12(3) + 6 = 42
Fourth term = 12(4) + 6 = 54
Fifth term = 12(5) + 6 = 66
Thus, the sequence is : 18, 30, 42, 54, 66
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find x, show proofs
The side x of the similar triangle is 12.7 units.
How to find the side of a triangle?The triangles are similar triangle.
Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.
Therefore, using the proportion
37- 5 / x = x / 5
Evaluate the difference of 37 and 5
32 / x = x / 5
Cross multiply the equation
x × x = 32 × 5
So, we have
x² = 160
Take the square root of both sides
x = √160
Evaluate the square roots
x = 12.6491106407
Hence, the value of x is x = 12.7 units (when approximated)
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22
Which point on the coordinate plane below is (-9, 3)?
Point D
Point C
Point B
Point A
Answer:B
Step-by-step explanation: x is -9 and y is 3
Since it’s negative you’d go left by 9 blocks and the y is positive so you go up 3
Answer:
The answer is point B
Step-by-step explanation:
I know this because (-9, 3) seems to be located in quadrant 2 because in quadrant 2 along the x-axis it is negative and along the y-axis it is positive. So, when l look in quadrant 2 there seems to be only one point, point B, which if you look at it is 9 units to the left and 3 units upward.
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
What is the answer, Please Help.
Answer:
r=144
Step-by-step explanation:
Cross multiply:
12 * 60 = r * 5
Simplifying
12 * 60 = r * 5
Multiply 12 * 60
720 = r * 5
Reorder the terms for easier multiplication:
720 = 5r
Solving
720 = 5r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
720 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
720 + -5r = 0
Add '-720' to each side of the equation.
720 + -720 + -5r = 0 + -720
Combine like terms: 720 + -720 = 0
0 + -5r = 0 + -720
-5r = 0 + -720
Combine like terms: 0 + -720 = -720
-5r = -720
Divide each side by '-5'.
r = 144
Simplifying
r = 144
Answer:
r=144
Step-by-step explanation:
We need to find r. To do that me must make the top numbers the same.
We'll multiply
\( \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} \)
\( \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} \)
Since the top numbers are equal that means the bottoms are too.
So we can create the equation:
\(5r = 720\)
Divide each side by 5
r=144
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
(10 points) Ben, Max, and Yolanda are at the front of three separate lines in the cafeteria waiting to be served. The serving times for the three lines follow independent Poisson processes with respective parameters 1, 2, and 3. (a) Find the probability that Yolanda is served first. (b) Find the probability that Ben is served before Yolanda. (c) Find the expected waiting time for the first person served.
Answer:
1/2 ; 1/3 ; 1/6
Step-by-step explanation:
Given :
Ben ~ exp(1)
Max ~ exp (2)
Yolanda ~ exp(3)
Ben :
X ~ exp(1)
Max:
Y ~ exp(2)
Yolanda :
Z ~ exp(3)
Probability that Yolanda is served first :
P(Z < (X, Y)) = Z /(x + y + z) = 3 /(1 + 2 + 3) = 3/6 = 1/2
Probability that Ben is served before Yolanda :
P(X < Z) = 1/ (1 + 2) = 1/3
Expected waiting time for first person served :
First person served = 1
Total = (1 + 2 + 3) = 6
Expected waiting time; E(x) :
E(x) : 1 / 6
can someone please help me solve this
Answer:
13.75
Step-by-step explanation:
You would multiply 2.75 by 5 and get an answer of 13.75. Hope this helps! ❤
120 eggs from 20 chicken
Answer:
60 eggs from 1 chicken
Step-by-step explanation:
Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75
Answer:
0.25
How to Solve:
Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:
16 x 6.25 = 100
Do the same to the numerator:
4 x 6.25 = 25
Now, take 25 and take a decimal point two spaces to the right:
0.25
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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