The expression to calculate the surface area of a right cone is,
\(SA=\pi\times r^2+\pi rl\)From the figure, r=3 cm and l= 15 cm.
\(\begin{gathered} S\mathrm{}A=\pi\times3^2+\pi\times3\times15 \\ =9\pi+45\pi \\ =54\pi unit^2 \end{gathered}\)Thus, the surface area of the right cone is 54 square unit and the correct option is option B.
. The sum of a number and 43 is 107. Find the number.
Answer:
64
Step-by-step explanation:
The sum means addition
To put this into algebra :
x + 43 = 107
Subtract 43 from both sides:
x = 107 - 43
x = 64
Hope this helped and brainliest please.
Answer:
The missing number is 64.
{43 + 64 = 107}
Step-by-step explanation:
Given that,
→ Sum of a number and 43 is 107.
Let's form the equation,
→ 43 + x = 107
Now find the required value of x,
→ 43 + x = 107
→ x = 107 - 43
→ [ x = 64 ]
Hence, the number is 64.
50 points. use rotation tool in top right to flip upright.
Answer:
(a) 56%
(b) 28%
Step-by-step explanation:
Hope this helps! :)
A local real estate company has 5 real estate agents.
Given:
The number of houses that each agent sold last year is shown in the bar graph.
Explanation:
a) To find: The agent who sold the most houses.
According to the graph,
Liz sold the most houses.
The number of houses sold by Liz is 12.
b) To find: The number of houses sold by Ari is more than Maria.
The number of houses sold by Ari is 10.
The number of houses sold by maria is 6.
So, the difference is,
\(10-6=4\)The number of houses sold by Ari is more than Maria is 4.
c) To find: The number of agents who sold the houses more than 5.
The number of houses sold by Ari is 10.
The number of houses sold by maria is 6.
The number of houses sold by Liz is 12.
The number of houses sold by bob is 6.
So, the number of agents who sold the houses more than five is 4.
what is 7 1/2 minus 3 13/16
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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3/4x = 1/5 .x =
Pls help I will give brainliest
Answer:
x= 4/16 stan
x=0.26 dec
Step-by-step explanation:
⬇ Hello! The answer would be down below! :) ⬇
x = 0 will be the answer.
Step-by-step explanation:
So, we start with \(\frac{3}{4} x = \frac{1}{5} x\) .
For step 1 we should subtract \(\frac{1}{5} x\) on both sides.
\(\frac{3}{4} x - \frac{1}{5} x = \frac{1}{5} x - \frac{1}{5} x\)
= \(\frac{11}{20} x = 0\)
For step 2 we will multiply both sides by \(\frac{20}{11}\).
\((\frac{20}{11})\) x \((\frac{11}{20} x ) = (\frac{20}{11})\) x \(\ (0)\)
= x = 0
In order for the two figures shown below to be similar, the length of the unknown side must be . If necessary, round your answer to the nearest tenth 12 8 4 2 5 15
From the properties of similar triangles:
The ratio of corresponding sides of similar triangle are always equal
In the given triangle :
The corresponding sides ratio is:
\(\frac{12}{4}=\frac{8}{?}=\frac{15}{5}\)Simplify the above expression and solve for "?"
\(\begin{gathered} \frac{12}{4}=\frac{8}{?}=\frac{15}{5} \\ \frac{8}{?}=\frac{15}{5} \\ \text{Apply crossmultiplication:} \\ 8\times5=?\times15 \\ \text{? = }\frac{8\times5}{15} \\ \text{? = }2.66 \end{gathered}\)So, ? = 2.66
Answer : 2.66
Two six-sided dice are rolled. Find the probability of rolling the same number twice.
Answer: please 2.9
Step-by-step explanation:
I think
Answer:
1/36
Step-by-step explanation:
The probability of rolling a specific number twice in a row is indeed 1/36, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).
Hope this helps
2. Which of the following represents a quadratic function? (Circle all that apply!) (2 pts)a, y = 9x2 + 4x - 6b. y = 3x + 8c. y = 1223 - 6x2 + 4x - 9
A quadratic function is a function in the form,
\(\begin{gathered} y=ax^2+bx+c \\ \text{where a, b, c are real } \\ a\ne0 \end{gathered}\)Option A is a quadratic function,
Option B, is not a quadratic function because it is not the form of the equation written above and also,
\(a=0\)Option C is also not a quadratic function because it has the highest degree of x to be 3.
In option D the function is given by the function is defined by
\(\begin{gathered} y=x^2 \\ \text{thus} \\ a=1\ne0 \end{gathered}\)This implies that the function in option D is a quadratic function
Option E is not a quadratic function
Solve for x
2x + 10 = -3x - 15
A -5
B -7
C -4
D -2
Answer:
A. x = -5
2(-5) + 10 = -3(-5) - 15
0 = 0
Review the graph.
On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2).
What is the magnitude of the vector shown?
5
13
StartRoot 5 EndRoot
StartRoot 13 EndRoot
On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2). The magnitude of the vector is 5
How did we get the value?The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences of the x and y components. In this case, the x component is 3 and the y component is 2, so the magnitude can be calculated as follows:
√(3^2 + 2^2) = √(9 + 4) = √(13) = 5
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Answer:
its D
Step-by-step explanation:
on edge
pls help me anyone pls
Answer: firstly lol, Secondly the answer is 60 for each side cuz it’s equal
Step-by-step explanation:
P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
In order to join a karate class, you have to pay $10 for registration and then $2 per class. Find the equation that determines the total amount spent. T = total, c = class
Answer:
2c + 10 = T
Step-by-step explanation:
Since you already have to pay $10, then that would just be added.
Then it is $2 per class: 2c
So 2c + 10 = the total cost
2c + 10 = T
Hope this helped :)
Answer:
T=2c=10
Step-by-step explanation:
follow the equation y=mx+b
y = total
mx = slope
b = initial value
plssssssssssssssss help lovelies
Answer:
18\(cm^{2}\)
Step-by-step explanation:
3 pound of apples for $4.59.
Answer:
each apple would be $1.53
Answer:
$1.53 per pound of apple
Step-by-step explanation:
I'm assuming the question is what is the cost of 1 pound
Set up a equation:
3pounds/$4.59 = 1pound/x
Variable x = cost for one pound
3/4.59 = 1/x
Cross mulitply
3 × x = 4.59 × 1
3x = 4.59
Divide both sides by 3
3x ÷ 3 = 4.59 ÷ 3
x = 1.53
Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Help anyone? Who knows this 6th grade math
Answer:
√33 ≈ 5.7
Step-by-step explanation:
The length of the bottom diagonal is given by pythagoras, let's call it d:
\(d =\sqrt{5^2+2^2}\)
Then, the length of the diagonal through the box is also given by pythagoras as:
\(\sqrt{d^2 + 2^2}\)
In total, that is:
\(\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7\)
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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Quadrilateral RSTU is similar to quadrilateral LMNO. What is the value of LO if RU is 6 inches, LM is 45 inches, and RS is 9 inches?
The value of LO if RU is 6 inches is solved to be 30 inches
What are similar polygons?This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions
Examining the figure when LM is 45 inches, and RS is 9 inches
the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5
9 * 5 = 45
when RU = 6 inches
6 * 5 = 30 inches
hence LO is 30 inches
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6*x= 18
Pls answer I will give brainliest
Answer:
\(x=3\)
Step-by-step explanation:
\(6x=18~(Given)\\\\\frac{6x}{6}=\frac{18}{6}~(Divide~6~on~both~sides)\\\\x=3~(Simplify)\)
Answer:
If the question is 6x = 18 meaning 6 multiplied by X is the same as 18, then the answer is 2
If the question is 6 to the power of X is the same as 18, the answer is 1.61314719
So I think your question is the first one lol
Step-by-step explanation:
6 multiplied by what number is 18?
6 multiplied by 2 is 18
So X must equal 2
I hope this helped! Brainliest if it did? No pressure!
have a great day! :D
Cynthias mom gave her $20 to spend at her friends birthday part on Friday night.write an inequality that represents the number of games ,g, Cynthia can bowl to remain within her budget
Answer: In order for me to answer that I would need to know how much it cost to play a game
Step-by-step explanation:
Use the image to answer the question.
2
1
0
-1.2
What does the absolute value of the point labeled in the image mean if the number line represents temperature change?
O The temperature decreased 1.2 degrees.
O The temperature increased 1.2 degrees.
O There was no change in temperature.
Question 1(Answered)
L
The meaning of the absolute value in this problem is given as follows:
The temperature decreased 1.2 degrees.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
The number for this problem is -1.2, hence:
As the number is negative, the temperature decreased.|-1.2| = 1.2.More can be learned about the absolute value of a number at https://brainly.com/question/24368848
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When the angle of elevation to the sun is 28 degrees, a flagpole casts a shadow that is 42.5 ft long. What is the
height of the flagpole, to the nearest foot?
38 ft
20 ft
23 ft
80 ft
Step-by-step explanation:
..........I think the answer is 80.
do check yourself
3/4x + 9 = 0
Please help with this
What is the solution of the system x+2y+3z=6; y+2z=0; z=2
Answer:
z=2, y=-4, x=8
Step-by-step explanation:
since we know z is 2, we can plug it back into the equation to find y:
y+2*2=0
first, simplify:
y+4=0
then, subtract 4 from both sides:
y=-4
now we know what both z and y are, we can put the values back into the equation to find x:
x+2(-4)+3*2=6
first, simplify:
x-8+6=6
x-2=6
then, add 2 to both sides:
x=8
so the values are:
z=2, y=-4, x=8
The slope of the line below is -4. Which of the following is the iS point-slope
form of the line?
\ (2, -8)
O A. y+ 8 = -4(x-2)
O B. y+ 2 =-4(x-8)
• C. y-8 = -4(x+ 2)
• D. y- 2=-4(x+ 8)
Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.
What does "point-slope form of the line" refer to?A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).
The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.
Given,
the slope of line = - 4 and point = (2,-8)
The equation of line = y - yo = m (x - xo)
where m = slope and x,y are coordinates
y + 8 = - 4 (x - 2)
y + 8 = - 4x + 8
y = - 4x
Therefore, the correct answer is option A, y+ 8 = -4(x-2)
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........help........
Answer:
C
GIVE ME THE POINTS YES
Find the measure of each exterior angle on a regular octagon
Answer:
45°Step-by-step explanation:
Octagon is the figure with 8 sides and 8 angles
Sum of the exterior angles of any polygon is 360°
Each angle of a regular octagon is:
360°/ 8 = 45°Need help!!!! For school
Answer:
Your answer is.....
A, It is multiplicative
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation: