A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.
Formula for the volume of a cylinder: V = pi x r^2 x h
V = pi x 6^2 x 10
V = pi x 36 x 10
V = 360pi inches^3
Hope this helps! :)
A population of rabbits doubles every 60 days according to the formula P=10(2)^t/60, where P is the population of rabbis on day t. What is the value of t when the population is 320
Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
Answer:yes?
Step-by-step explanation:
it has #s in it lol
Answer:
no it isnt
Step-by-step explanation:
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)
Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.
Answer:
x=-1, -1/2, 3
Step-by-step explanation:
There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced by half every 4 hours. Which of the following statements are true? Select all that apply.
A.) two hours after the antibody is introduced , there are 35000 bacteria present in the culture
B.) 24 hours after the antibiotic is introduced , the number if bacteria in the culture is reduced to 1093
C.) the number of present in the culture during the 24 hours after the the antibiotic is introduced is an example of exponential decay
D.) the half-life of the bacteria after the antibiotic is introduced is 2 hours
E.)the function B(x)=70000(0.5)^x where x is the number of 4 hour periods represents the amount of bacteria present after the antibiotic is introduced
Answer:
c
Step-by-step explanation:
the number of bacteria is introduced
The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function. Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.
Exponential functions such as this are of the form
y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods. In this situation, the initial population, a, is 70000. Since the number of bacteria decreases by half, r = -0.50. This gives us
y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.
In 24 hours, there are 6 4-hour periods. This means x = 6; this gives us
y = 70000(0.50)⁶ = 1093.75.
Therefore, option D is the correct answer.
Learn more about the exponential function here:
brainly.com/question/11487261.
#SPJ2
I need help with these plzzz
Answer:
1. C 2. B
Step-by-step explanation:
1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section
2. The actual value of x is 33.2
So I plugged in that value for all of them
What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm
Answer:
The answer is 3cm
Step-by-step explanation:
The length of a diagonal of a cube with a side length of 1 cm is,
⇒ √3 cm
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A side length of cube is,
⇒ 1 cm
We know that;
The length of a diagonal of a cube with a side length of a cm is,
⇒ d = √3 × a
Here, a = 1
Hence, The length of a diagonal of a cube with a side length of 1 cm is,
⇒ d = √3 × 1
⇒ d = √3 cm
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.
A. sine
B. tangent
C. cotangent
D. secant
Answer:
the answer is b. tangent
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.
On which triangle can we apply trigonometric ratios?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The tangent of the angle is
[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
#SPJ2
Help me it’s urgent
Answer:
∠GHJ and ∠IHJ
Answer:
[-10, 10]
This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10 and [10] = 10
Step-by-step explanation:
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
3(4x+5)=33 What’s the value of x
Answer:
the answer would be 20
Answer:
x=3/2 or 1.5
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
3(4x+5)=33
First, divide both sides by 3, since 3 is being multiplied by 4x+5
3(4x+5)/3=33/3
4x+5=11
Next, subtract 5 from both sides, since it is being added to 4x
4x+5-5=11-5
4x=6
Divide both sides by 4, since 4 is being multiplied by x
4x/4=6/4
x=6/4
x=3/2 or 1.5
Please I need help with this one
Answer:
$0.60
Step-by-step explanation:
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
pls helllllllllllllp
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
help meeeeeeeeeeeeeeeeee pplllzzzzzzzzz asap
Answer: 16
Step-by-step explanation:
8+6+2
Answer:
2
Step-by-step explanation:
Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.
please Help it’s urgent
Answer:
Angle IAJ
Step-by-step explanation:
X idea again. They are opposite to each other in the immediate area around them.
can you please help me out
Answer:
fwefwfwfewfwefwefwfew
Step-by-step fweexplanation:
erwrwerw
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
AN
x = 11.6
y = 11.6
= 11.6
y= 23.2
x = 18.3
y = 36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
What is the values of x?
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex
[tex]h = -8(t-0.5)^{2}+2[/tex] h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
i need help asap! anyone know this?
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
He randomly selects a sample of 200 Darwin households. Forty households prefer the new package to all other package designs. The point estimate for this population proportion is
Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2
What is the radius and diameter of the following circle?
111 cm
Radius
cm
Diameter =
cm
Answer:
Diameter = 212 cm
Step-by-step explanation:
D= 2r
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
need help fast!!!!
The graph shows the relationship between the weight of a
box and the number of books added to the box.
What function represents the weight of a box based on x,
the number of books?
Box of Books
10
9
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
O
Weight of box (lbs)
ch
4
w
1
9 10 x
2 3 4 5 6 7 8
Number of books
Answer:
C or option three, f(x) = 1.5x + 0.5
Step-by-step explanation:
HAVE A GREAT DAY AND STAY SAFE!
The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
What is the Equation of straight line?The general equation of a straight line is y = mx + c
What is Slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate
Here,
Consider two points in the lines
(3,5) and (5,8)
Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-5}{5-3}[/tex]
=1.5
From the graph y intercept is 0.5
Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
Learn more about Equation of straight line and Slope of the line here
https://brainly.com/question/11974283
#SPJ2
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
