9514 1404 393
Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
A park is \frac{9}{10} 10 9 mile long and\frac{4}{5} 5 4 mile wide. What is the area of the park?
the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answer:
7.85 in³
Step-by-step explanation:
π · r² · h
3.14 · 0.5² · 10
7.85 in³
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST!!
Find the measures of the supplementary angles that satisfy each
case.
The difference of the measures of the angles is 35º.
The number of employees for a certain company has been decreasing each year by 7%. If the company currently has 510 employees and this rate continues, find the number of employees in 11 years.
Answer:
230
Step-by-step explanation:
a = 510(0.93)^t
a = 510(0.93)^11
a = 229.5528082951
Rounded
a ≈ 230
there are 40 students waiting in the line to enter the museum. There are 4 times as many students in the museum as are in line waiting. How many students are in the museum?
9514 1404 393
Answer:
160
Step-by-step explanation:
The problem statement tells us ...
(# in museum) = 4 × (# waiting)
(# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40
# in museum = 160
Pic is attached with the questions, I need help
Answer:
f(5) = 32
g(5) = 40
Step-by-step explanation:
For f(x) we can realize that each term for the value of x is twice the value before it. This means the missing value is 32 or f(5) = 32.
For g(x) we can realize that each term is 10 more than the previous. This means g(5) = 40.
Perimeter of 30 ft in an area of 14 ft what is the length and the width
Answer:
14 and 1
Explanation:
14 + 14 + 1 + 1 = 30
14 x 1 = 14
The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:
Length + width = 15
Area is length x width
Find 2 numbers that when added equal 15 but when multiplied equal 14
15 + 0 = 15, 15 x 0 = 0
14 + 1 = 15, 14 x 1 = 14
The answer is 14 ft long by 1 ft wide
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
how much is 1/20 of 1/8 of 1600
Answer:
10
Step-by-step explanation:
( 1 / 20 ) x ( 1 / 8 ) x 1600
= ( 1 / 20 x 8 ) x 1600
= ( 1 / 160 ) x 1600
= 1600 / 160
Answer:10
Step-by-step explanation:
1/20 x 1/8 x 1600 = 10
= 10
I need help with this question
Answer:
Hi there, I like your pfp!
The correct answer should be 11 1/2!
Step-by-step explanation:
-48/-8 = 6 4/8 = 6 1/2
6 1/2 + 5 =
11 1/2
Anyways, hope this helped!
Find the volume of the composite space figure to the right to the nearest whole number.
LOOK AT THE PICTURE!!!
I NEED IT ASAP PLEASE
Answer:
126 cubic cm
Step-by-step explanation:
6 x 7 x 2 = 84
2 x 3 x 7 = 42
84 + 42 = 126
(i separated the shape to two rectangular prisms)
Someone please help me
Answer:
David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?
Step-by-step explanation:
Answer:
X= 20
Step-by-step explanation:
Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.
I WILL GIVE YOU #) BRAINLYYYYYYYY
Answer: B
Step-by-step explanation:
Bob has been alive for 21,900 days. How old is Bob?
Answer:
32 Years, 7 Months, 2 Days old
Step-by-step explanation:
PLEASE HELP IM SO STUCK!
Answer:
x = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
If asphalt pavement costs $0.78 per square foot, determine, to
the nearest cent, the cost of paving the shaded circular road
with center o, an outside radius of 50 feet, and an inner
radius of 36 feet.
Answer:
2590.33
Step-by-step explanation:
...............
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 OB. 15.31 O C. 15.50 D. 15.35 SUBNET
Answer:
According to me it should be Option B, 15.31
Hope this helps!
The expected value for the age of a randomly chosen student is,
⇒ 15.38
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.
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Solve for ? PLEASE HELP
Answer:
70
Step-by-step explanation:
Tangent Chord Angle = 1/2Intercepted Arc
? = 1/2(140)
? = 70
Answer: if its asking for that angle its 70 cause thats the only one that would fit
Step-by-step explanation:
Cos(5π/3)=
A. -√2/2
B. √3/2
C. √2/2
D. 1/2
Answer:
[tex] \frac{5\pi}{3} = 300deg[/tex]
360-300=60
cos(60)=1/2 that is the answer
Find the distance between the points (5, 4) and (3, -1).
Find tan(B) in the triangle.
c. 5/12
Step-by-step explanation:
tan= opposite/adjacent
[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]
Do anybody know this ???
Answer:
option D
Step-by-step explanation:
18 1/5 + 22 2/5 +40 1/5
whats the missing number
Answer:
5Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
help me please i’ll rate brainliest
Answer:
- 1.568
Step-by-step explanation:
Let's assume that the base of the given logarithm is 10.
log m = 0.345 ⇒ [tex]10^{0.345}[/tex] = m
log n = 1.223 ⇒ [tex]10^{1.223}[/tex] = n
mn = [tex]10^{0.345}[/tex] × [tex]10^{1.223}[/tex] = [tex]10^{1.568}[/tex]
[tex]\frac{1}{mn}[/tex] = [tex]10^{-1.568}[/tex]
log [tex]10^{-1.568}[/tex] = - 1.568 × log 10 = - 1.568
use n for " a number " three increased by the quotient of a number and two
Answer:
[tex]3+\dfrac{n}{2}[/tex]
Step-by-step explanation:
Let the number is n.
ATQ,
The quotient of a number and two means n/2
Something is increased means plus.
It means,
The required expression is : [tex]3+\dfrac{n}{2}[/tex]. Hence, this is the required solution.
Select the correct answer. The square of z varies inversely as the square root of e. If z=36 when w=16, what is the value of z when w=81?
a. 54
b. 24
c. 182 1/4
d. 7 1/9
The square of z varies inversely as the square root of e. If z=36 when w=16, then value of z is 24 when w=81.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The square of z varies inversely as the square root of e.
If z=36 when w=16
The value of z when w is 81 we need to find
z²=k/√e
where k is a proportionality constant
36²=k/√16
36²=k/4
Apply cross multiplication
1296(4)=k
5184=k
Now let us find when k is 5184 and w is 81
z²=5184/9
z²=576
Take square root on both sides
z=24
Hence, the value of z is 24 when w is 81.
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A function is defined by the equation f(x) = 2x – 5.
1. What is f(0)?
2. What is f())?
3. What is f(100)?
4. What is a when f(x)=9
Answer:
1.f(0)=-5
3.f(100)=195
4.f(x)=9;ans.14
The value of the equations are
a) f ( 0 ) = -5
b) f ( 100 ) = 195
c) The value of x when f ( x ) = 9 is x = 7
How do equations work?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
f ( x ) = 2x - 5 be equation (1)
On simplifying the equation , we get
when x = 0
The equation becomes f (0) = 2 (0) - 5 f (0) = 0 - 5 f (0) = -5 when the value of x = 0 is substituted.
At this point, x Equals 100
In the equation, if we substitute the value of x = 100, we obtain f (100) = 2 (100) - 5 f (100) = 200 - 5 f (100) = 195.
Moreover, if f (x) = 9 9 = 2x – 5
2x = 14 is obtained by adding 5 to both sides of the equation.
We obtain x = 7 by dividing both sides of the equation by 2.
The equations are thus resolved.
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14. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the following time
Answer:
Incomplete question, but you use the normal distribution to solve it, with [tex]\mu = 23.5[/tex] and [tex]\sigma = 3.6[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.
This means that [tex]\mu = 23.5, \sigma = 3.6[/tex]
Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 23.5}{3.6}[/tex]
Find the probability that the patron will have to wait:
More than X minutes:
1 subtracted by the p-value of Z
Between A and B minutes:
p-value of Z when X = A subtracted by the p-value of Z when Z = B.
Less than X minutes.
p-value of Z.
Find the area of △DEF with vertices D(−4, −2), E(−1, −8), and F(−7, −8). The AREA of △DEF is ______ square units. *
Answer:
If you plot these points you will see that the base is 6 (distance from E to F, count the squares).
The height will be 6 ( distance from line EF to D, again count the squares).
Using the Area formula you get A = 1/2 (6) (6) = 18
