Answer:
[tex]\boxed {\boxed {\sf 384 \ ft^3}}[/tex]
Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:
[tex]V= \pi r^2 h[/tex]
Where:
r= radius h= heightThe radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
r= 4 ft h= 8 ft π= 3Substitute the values into the formula.
[tex]V= (3)(4 \ ft)^2 (8 \ ft)[/tex]
Solve the exponent.
(4 ft)²= 4 ft * 4 ft = 16 ft²[tex]V= (3)(16 \ ft^2)(8 \ ft)[/tex]
Multiply the three numbers together.
[tex]V= 48 \ ft^2 (8 \ ft)[/tex]
[tex]V= 384 \ ft^3[/tex]
The volume of the cylinder is approximately 384 cubic feet.
SOMEONE PLEASE HELP ME!
Find the missing number. ( Show your work)
Problem 1.
2 ?/4 = 11/4
Problem 2.
?/10 = 4/5
Step-by-step explanation:
For problem 1,
Let the required number be x,
2 x/4 = 11/4
or, (8+x)/4 = 11/4
or, 8+x = 44/4
or, 8+x = 11
or, x = 11-8
so, x = 3
For problem 2,
Let the required number be y,
y/10 = 4/5
or, 5y = 40
or, y = 40/5
so, y = 8
The profit, in dollars, of selling n items is given by P(n) = 0.86n - 2800. Identify the slope and the y-intercept.
Answer:
Slope - 0.86
Y-Intercept - (0, -2800)
Step-by-step explanation:
The slope is the rate at which the x value is increasing, in the form of y = mx + b. B would represent the Y-intercept, as that's the value of x when y is equal to 0.
Does anyone know the answer to this math question?
Answer:
sorry i don,t know but i am finding
if i get then i hep you
Step-by-step explanation:
thanks and have nice day
find the scale factor
Answer:
1/3
Step-by-step explanation:
To get the scale factor , we have to divide the lengths of the similar sides on both shapes
What we have to do here is to divide the left length of each
we have this as 6/18 since they both represent the length
we have this as 1/3
At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?
Answer:
$5200
Step-by-step explanation:
Given :
Amount invested, Principal, P = $5000
Interest rate, r = 4% = 4/100 = 0.04
Amount in account at the end of the year, A
period, t = 1 year
Using the relation :
A = P(1 + rt)
A = $5000(1 + 0.04*1)
A = $5000(1 + 0.04)
A = $5000 * 1.04
Amount in account at year end = $5200
3 to the power 10=
Pls answer fast
The answer is 59049.
Kuaaahahahahahahahah!
Find the volume. Leave answer in exact form (in terms of π)
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
Find the cost of 5¾ m of cloth at rupees 42½ per metere
Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m
Cost of cloth per m = ₹42¹/2 -> ₹42.5
Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375
Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375
Answer:
Answer given below
Step-by-step explanation:
[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4
= 23/4 m
[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2
= 85/2 rupees
cost of 1 meter cloth = 85/2
cost of 23/4 meter cloth = 85/2 * 23/4
= rupees 1955/8
= [tex]244 \frac{3}{8}[/tex] rupees
3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.
Answer:
74 mph
Step-by-step explanation:
The driver started driving at s mph.
After 3 hours, the speed became s + 10 mph.
The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.
speed = distance/time
distance = speed * time
distance = (distance driven at speed s) + (distance driven at speed s + 10)
894 = s * 3 + (s + 10) * 8
3s + 8s + 80 = 894
11s + 80 = 894
11s = 814
s = 74
Answer: 74 mph
Can someone help me with this task please? !!
Answer:
69
Step-by-step explanation:
Answer:
1: (B)
2: (C)
3: (D)
4: (D)
5: (A)
Step-by-step explanation:
Question 1:
Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.
Question 2:
The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.
Question 3:
From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.
Question 4:
It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.
Question 5:
The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.
Hope this helps (●'◡'●)
A tourist has TT $7875. She spends TT $2310 and changed the remaining Trinidad and Tobago currency to Canadian currency. Calculate the amount of money she received if the rate is CAN $1.00 = TT $3.5 *
Answer:
CAN $1590
Step-by-step explanation:
Below is the given values:
Tourist has money = TT $7875
Spending = TT $2310
Remaining money = 7875 - 2310 = TT $5565
The Canadian currency she has = TT $5565 / TT $ 3.5
The Canadian currency she has =CAN $1590
The amount of money she will receive after converting into Canadian dollars = CAN $1590
A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice
Answer:
80/243
or
.329218107
Step-by-step explanation:
This is a binomial distribtuion
THe probability of red= 1/3
the probability of not red= 2/3
Probability of getting exactly 2 reds in 5 spins
[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]
or
80/243
HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW
Answer:
your correct
Step-by-step explanation:
Answer:
I think the one you have answered is correct.
Find the surface area and volume for each of the following:
Answer:
mark brainlist..............
The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
i need help
measure of each labeled angle
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]if x = 2 is a solution to the system shown below, then what must be value of b?
y = 7x + 4
y = 3x + b
——————————————-
(1) 5
(2) -4
(3) -17
(4) 12
thank you in advance for anyone that helps answer this :))
Answer:
(4). 12
Step-by-step explanation:
Find the value of x for the right triangle.
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3
Answer:
Table (C)
Step-by-step explanation:
Given equation of the parabola is,
f(x) = 9x² + 5x + 3
By comparing this equation with,
f(x) = ax² + bx + c
a = 9, b = 5 and c = 3
Since, leading coefficient (a) of the function is positive,
Parabola will open upwards.
For y-intercept,
Substitute x = 0 in the equation,
f(0) = 9(0)² + 5(0) + 3
f(0) = 3
Therefore, y-intercept is (0, 3).
Table (C) is the answer.
(x-1)(x-2)(x-3)(x-4)(x-5)=0
Answer:
x=1, x=2, x=3, x=4, x=5
Step-by-step explanation:
set each expression in the parenthesis equal to 0 to solve for the roots
Classify the following triangle. Check all that apply.
Can someone help me with this math homework please!
Answer:
Last answer.
Step-by-step explanation:
What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
For which interval is the average rate of change of f(x) negative?
Solve system by elimination -9x - y =-19
5x + y = 15
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
Answer:
B
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
x² + 49 = 0 ( subtract 49 from both sides )
x² = - 49 ( take the square root of both sides )
x = ± [tex]\sqrt{-49}[/tex] = ± 7i
Solutions are x = - 7i, x = 7i
Father bought x sweets.(x-4) were eaten by the children and 20 were left. How many sweets did thier father bought?
Answer:
24
Step-by-step explanation:
x = total sweets bought
total sweet eaten = x - 4
sweets left = 20
x - 4 = 20
combine like terms
x = 20 + 4
x = 24
Pretty please helppplp!!!!!!
Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
Answer:
so your answer is -6
Step-by-step explanation:
[tex]\frac{(x^2^5)^-^6}{(x^-^3)^4^8}[/tex] Did i write the equation right? If so you would multiply the exponents
x^-150 x^144
---------- so you then flip the two and get ----------
x^-144 x^150
then you would subtract the exponents like this 144-150= -6
Aline segment may have more than one midpoint.
A. True
B. False
Answer:
False
Step-by-step explanation:
Because it not possible
it can't so false
Step-by-step explanation:
false it cant cause its not possible