Answer:
b
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Good luck
8x + 5y = 27.15
what is x and y?
Answer:
Step-by-step explanation:
Simplifying
8x + 5y = 27.15
Solving
8x + 5y = 27.15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
8x + 5y + -5y = 27.15 + -5y
Combine like terms: 5y + -5y = 0
8x + 0 = 27.15 + -5y
8x = 27.15 + -5y
Divide each side by '8'.
x = 3.39375 + -0.625y
Simplifying
x = 3.39375 + -0.625y
Answer:
Infinite solutions
Step-by-step explanation:
There is no one right answer, plug in numbers for x and you will see
y = -8/5(x) + 27.15/5
if p is the smallest of four consecutive even integers what is their sum interms of p.
Answer:
4p + 12
Step-by-step explanation:
p + p+2 + p+4 + p+6 = 4p + 12
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Answer: Carlo is incorrect
Step-by-step explanation:
3000/(2+3) = 600 (each ratio)
2:3 = 2(600):3(600) = 1200:1800
1200/6 = 200 small boxes
1800/20 = 90 large boxes
290 boxes altogether (large and small)
(large boxes/boxes altogether)x100
(90/290)x100 = 31%
31%>30%
Therefore Carlo is incorrect
can you pls help ...........
Answer:
Most likey red about blue
Step-by-step explanation:
work out this eaquation
Answer:
l hope this is helpful to you
Of 20 test scores, four are less than or equal to 85. What is the percentile rank of a test score of 85
Answer:
Bottom 20% percentile
Step-by-step explanation:
4/20= .2
the gardener uses a hose to refill the tank when it reached 5 gallons the hose filled the tank at a rate of six gallons per min write a function rule to model the amount of water in the tank as it was being refilled
Pls help i need the anwser now
Answer:
y=6x+5
Step-by-step explanation:
You didn't specify if you wanted the answer in slope form or not but thats what i did it in, I apologize if it's supposed to be done a certain way.
But y=6x(which is the rate of change(6 gallons per minute)) plus (b(the initial value which was 5))
WILL GIVE BRAINLIEST
Answer:
Answer:
4 m
Step-by-step explanation:
I took the test
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The volume of a cone (V) is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here V = 151 and r = diameter ÷ 2 = 12 ÷ 2 = 6 , then
[tex]\frac{1}{3}[/tex] πr²h = 151 ( multiply both sides by 3 to clear the fraction )
πr²h = 453 , that is
3.14 × 6² × h = 453
3.14 × 36h = 453
113.04h = 453 ( divide both sides by 113.04 )
h ≈ 4 m ( to the nearest metre ) → B
Jim and Jennifer have excellent credit, and they purchased property with a mortgage. However, they experienced financial difficulty and missed more than three months of payments. Which of the following is the most probable consequence of Jim and Jennifer's late payments?
Answer:
The bank could repossess the property.
Step-by-step explanation:
Took the exam.
Answer:
The bank will reposses
Step-by-step explanation:
State the property.
power property of exponents.
Answer:
The Power of a Power Property states that if an exponent is being raised to another exponent, you can multiply the exponents. You can use this property to solve a problem like (3x2)3.
Step-by-step explanation: The Power of a Power Property states that if an exponent is being raised to another exponent, you can multiply the exponents. You can use this property to solve a problem like (3x2)3.
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
w2 = 3(243)
3w2 = 243
4w2 = 243
3w2 = 3(243)
Answer:
3w² = 243
Step-by-step explanation:
Width = w
Length = 3w
Area = 243 square units
length *width = 243
3w * w = 243
3w² = 243
The equation that you can used to determine the width of the rectangle with the given area is: 3w² = 243
What is the Area of a Rectangle?Area = (length)(width)
The given dimensions are:
Width = w unitsLength = 3w unitsArea of rectangle = 343 sq. unitsThe equation to se in finding the width (w) of the rectangle will be:
3w(w) = 243
3w² = 243
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Another word one! Please help only if you know, thank you!
Answer:
Step-by-step explanation:
if C is the right angle,
AB is the hypotenuse
AB^2=AC^2+BC^2
AC^2=13^2-5^2
AC^2=169-25=144
AC=[tex]\sqrt{144}[/tex]=12
AC=12
XYZ is a triangle in which XY = 11 centimeters and YZ = 15 centimeters. The length of XZ is in whole centimeters and is greater than 20 centimeters. What are the possible lengths of XZ?
Answer:
Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
Step-by-step explanation:
According to triangle inequality theorem,
length of one side is less than the sum of remaining two sides.
Also,
[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]
Therefore,
[tex]20<XZ<15+11\\20<XZ<26[/tex]
The length of [tex]XZ[/tex] is in whole centimeters.
Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.
Answer:
[tex]0.00375\ \text{inches}[/tex]
Step-by-step explanation:
Volume of the stack of paper is 140.25 cubic inches
The length and width of the stack will be equal to that of a single sheet of paper so
[tex]l=11\ \text{inches}[/tex]
[tex]w=8.5\ \text{inches}[/tex]
Let [tex]h[/tex] be the height of the stack.
Volume of the stack would be
[tex]lwh=140.25\\\Rightarrow h=\dfrac{140.25}{lw}\\\Rightarrow h=\dfrac{140.25}{11\times 8.5}\\\Rightarrow h=1.5\ \text{inches}[/tex]
So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.
Thickness of one sheet of paper is given by
[tex]\dfrac{1.5}{400}=0.00375\ \text{inches}[/tex]
Hence, the height of each sheet of paper is [tex]0.00375\ \text{inches}[/tex].
PLZZZZ HELP ME WITH THIS QUESTION WITH AN EXPLANATION
Answer :
Given : A and B are complementary angles. B and C are complementary angles.
Prove : A C
I have attached a picture of me doing it. Hope this helps, thank you :) !!
D) 9. What is the solution to this equation?
2x + 10 = 28
Answer:
X=9
Step-by-step explanation:
I know this because you can find the answer by doing 28 - 10 which equals 18 and 2 times 9 gets you 18 and would make the equation
( 2 times 9) + 10= 28
18 + 10=28
Which values from the set -6, -4, -3, -1, 0, 2 satisfy this inequality?
−12x + 3≥ 5
-6, -4 , -3 , and - 1 only
-6 and -4 only
- 1 , 0, and 2 only
-4, -3, -1, 0, and 2 only
I REALLY NEED HELP THIS IS A TEST
Answer:
-6, -4 , -3 , and - 1 only.
Step-by-step explanation:
−12x + 3 ≥ 5
-12x ≥ 5 - 3
-12x ≥ 2
Divide both sides by -12:
x ≤ -1/6 (Note the inequality sign flips because we are dividing by a negative value).
So considering the given set, all the values except 0 and 2 fit this inequality.
At any time t ≥ 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 200 bacteria.
(a) Solve for y, the number of bacteria present, at any time t ≥ 0.
(b) Write and evaluate an expression to find the average number of bacteria in the population for 0 ≤ t ≤ 10.
(c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure.
Answer:
(a) The equation for the number of bacteria at time t ≥ 0 is [tex]y = 200\cdot e^{0.5 \cdot t }[/tex]
(b) The average population in the bacteria for 0 ≤ t ≤ 10 is 29,482 bacteria
(c) The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour
Step-by-step explanation:
(a) The given rate of growth of the bacteria population is;
[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]
The initial amount of bacteria = 200
At time, t ≥ 0, we have;
[tex]\dfrac{dy}{y} = 0.5 \cdot dt[/tex]
[tex]\int\limits {\dfrac{dy}{y} } = \int\limits {0.5} \, dt[/tex]
ln(y) = 0.5·t + C
[tex]y = e^{0.5 \cdot t + C}[/tex]
[tex]y = C_1 \cdot e^{0.5 \cdot t }[/tex]
When, t = 0, y = 200, we have;
[tex]200 = C_1 \cdot e^{0.5 \times 0 } = C_1[/tex]
C₁ = 200
The equation for the number of bacteria at time t ≥ 0 is therefore given as follows;
[tex]y = 200\cdot e^{0.5 \cdot t }[/tex]
(b) The expression for the average number of bacteria in the population for 0 ≤ t ≤ 10 is given as follows;
[tex]y = \int\limits^t_0 {0.5 \cdot y} \, dt[/tex]
[tex]y = \int\limits^{10}_0 {0.5 \cdot 200\cdot e^{0.5 \cdot t }} \, dt = \left[200\cdot e^{0.5 \cdot t }\right]^{10}_0 \approx 2,9682.6 - 200 = 29,482.6[/tex]
The average population in the bacteria for 0 ≤ t ≤ 10 is therefore, y = 29,482
(c) The average rate of growth after 10 hours of growth is given as follows;
[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]
[tex]\dfrac{dy}{dt} = 0.5 \cdot 200\cdot e^{0.5 \cdot 10 } = 14,841.32 \ Bacteria/hour[/tex]
The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour
Population functions can either represent growth or decays.
The given parameter is:
[tex]\frac{dy}{dt}= 0.5y[/tex]
(a) Solve for y
We have:
[tex]\frac{dy}{dt}= 0.5y[/tex]
Integrate both sides
[tex]\int \frac{dy}{dt}= \int 0.5y[/tex]
Divide both sides by y, and multiply both sides by dt
[tex]\int \frac{dy}{y}= \int 0.5\ dt[/tex]
Integrate both sides of the equation
[tex]\ln(y) = 0.5t +c[/tex]
Take the exponent of both sides
[tex]y = e^{0.5t +c}[/tex]
This gives
[tex]y = ce^{0.5t}[/tex]
When t = 0, and y = 200.
So, we have:
[tex]200 = ce^{0.5 \times 0}[/tex]
[tex]200 = ce^{0}[/tex]
Evaluate the exponent
[tex]200 = c[/tex]
Rewrite as:
[tex]c = 200[/tex]
Substitute 200 for c in [tex]y = ce^{0.5t}[/tex]
[tex]y = 200e^{0.5t}[/tex]
Hence, the equation for y is [tex]y = 200e^{0.5t}[/tex]
(b) The average number of bacterial for 0 ≤ t ≤ 10.
The average value of the function is calculated as:
[tex]y' = y(10) - y(0)[/tex]
Calculate y(0) and y(10)
[tex]y = 200e^{0.5t}[/tex]
[tex]y(0) = 200e^{0.5(0)}= 200[/tex]
[tex]y(10) = 200e^{0.5\times 10} =29682.6318205[/tex]
So, we have
[tex]y' = y(10) - y(0)[/tex]
[tex]y' = 29682.6318205 - 200[/tex]
[tex]y' = 29482.6318205}[/tex]
[tex]y' = 29483[/tex]
Hence, The average number of bacterial for 0 ≤ t ≤ 10 is 29483
(c) The average rate over the first 10 hours of growth
We have:
[tex]\frac{dy}{dt}= 0.5y[/tex]
Substitute [tex]y = 200e^{0.5t}[/tex]
[tex]\frac{dy}{dt}= 0.5 \times 200e^{0.5t}[/tex]
[tex]\frac{dy}{dt}= 100e^{0.5t}[/tex]
When t = 10, we have:
[tex]\frac{dy}{dt}= 100e^{0.5 \times 10}[/tex]
[tex]\frac{dy}{dt}= 100e^{5}[/tex]
[tex]\frac{dy}{dt}= 14841[/tex]
Hence, the average rate over the first 10 hours of growth is 14841
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Here is an inequality: -2x>10.
List some values for x that would make this inequality true.
How are the solutions to the inequality -2x10 different from the solutions to -2x>10? Explain your reasoning.
Answer:
The difference is -2x10 is basically-2 times x times 10.
Step-by-step explanation:
Cuz i said so
The x values that makes the given inequality true are -10, -9, -8, -7 and -6.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -2x>10.
Divide -2 on both the sides of an inequality, we get
x<-5
So, the solution is {.......-10, -9, -8, -7, -6}
Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.
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In ∆GHI, the measure of I=90°, the measure of G=82°, and GH = 3.4 feet. Find the length of HI to the nearest tenth of a foot.
Answer: 3.4
Step-by-step explanation:
i got this problem on delta math
Find the volume of the cone. Either enter an exact answer in the terms of pi or use 3.14 for pi
Answer:
37.7cm³
Step-by-step explanation:
pi×r² h/3
3.14×2² 9/3
=37.7cm³
Can someone help me please
HELP ASAP! question in picture! will give brainliest!!
Answer:
C) r=-1/4
Step-by-step explanation:
the mean of a group of students in 60 . if their marks 85 ,65,36 ,48 , X ,75 ,39,72 then find the value of x
Answer: 60
Step-by-step explanation:
Find the total number of students.
In this case, there are 8 total students. Multiply 60 * 8 = 480
Add all the numbers up.
85 + 65 + 36 + 48 + 75 + 39 + 72 = 420
480 - 420 = 60
x = 60
Two numbers have a sum of 42. One number is 2 more than 3 times the other number. Determine both of the numbers using an algebraic solution.
Answer:
8 and 4
Step-by-step explanation: have a good day g
Answer choices 192m to the 2nd power, 25m to the 2nd power 177 ft to the 2nd power 242 inches to the second power 61 ft to the 2nd power 40 inches to the 2nd powe
40m to the 2nd power when doing the math its 40m to the 2nd power and then you get ur answer :)
Answer:
i got 61 ft2
Step-by-step explanation:
rectangle: 10 x 4=40
triangle: 7 x 6=42 x 1/2= 21
40+21=61
also its says ft in each measurement
61 ft to the second power (61 ft2)
-kenma #3
(hopefully im right this time)
2. For a school project, Terence is taking a survey of students' favorite type
of shoe. Which sampling method would likely provide the representative
sample of the students? *
O Survey 10 students in a math class.
O
Survey only the students wearing sandals.
Survey 20 students who play basketball
Survey every 4th student who walks into the cafeteria.
Survey every 4th student who walks into the cafeteria.
There are 10 sweets in a bag
4 are red, 2 are green, 3 are yellow,1 is purple
You deposit $1200 in an account. The account earns $120 simple
interest in 8 months. What is the annual interest rate? PLS HELP WILL GIVE BRAINLIEST AND ITS DUE SOON
We have to find the unit rate, so we have to divide what you earned in interest by the amount of months.
120/8=15
So you earn $15 per month
---
sorry if this doesn't help
plz amswer this for me
Answer:
$5
Step-by-step explanation:
$14 x 30% (0.30) = $4.2
$14 + $4.2 = $18.2
[tex]\frac{18.2}{4}[/tex] = 4.55
Round to the nearest dollar:
4.55 = 5