What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
Brian bought a computer
marked down from $380 to
$133. What is the discount,
as a percentage?
A:70%
B:60%
C:65%
D:75%
Answer:
Step-by-step explanation:
100(133-380)/380=-65%
So the discount was 65%
A square is 5 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x).
Answer:
A(x)= (5×5)-[4(x×x)]Hope this helps!Please help me with this question!
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Find the area of the shape
Answer:
I think the answer is 672 please be right
plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?
Answer:
[tex]Fence = 41.408ft[/tex]
Step-by-step explanation:
Given
[tex]d = 24ft[/tex]
Required
Determine the length of the wall
First, we calculate the circumference (C) of the semi-circle
[tex]C =\pi d[/tex]
[tex]C = 3.142 * 24[/tex]
[tex]C = 75.408[/tex]
The length of the fence is calculated by subtracting the diameter from the circumference:
[tex]Fence = C - d[/tex]
[tex]Fence = 75.408ft - 24ft[/tex]
[tex]Fence = 41.408ft[/tex]
The Ferris wheel at the fair requires riders to be over 48 inches
tall. How tall are all eligible riders?
Answer:
4ft
Step-by-step explanation:
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
193 students are attending the next reward trip. There are eight drives available and two types of vehicles,
school buses and minivans. The school buses seat 51 people each and the minivans seat 8 people each. How
many buses and minivans will be needed?
Answer:
3 busses and 5 vans
Step-by-step explanation:
3 x 51 = 153
193 - 153 = 40
40 / 8 = 5
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Grace is going to invest in an account paying an interest rate of 3.8% compounded
continuously. How much would Grace need to invest, to the nearest cent, for the
value of the account to reach $46,000 in 13 years?
PLEASE HELP ME URGENT
Answer:
P≈28068.32
Step-by-step explanation:
Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
We have given that,
Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.
We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.
What is the formula of a compounded continuously?
[tex]A=Pe^{rt}[/tex]
A=46000, t=13 ,r=0.038
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]
[tex]P=\frac{46000}{e^{0.507}}[/tex]
[tex]\quad P=27705.78944[/tex]
Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
To learn more about the account balance visit:
https://brainly.com/question/2151013
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what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
what is the r value of the following geometric sequence?
a. 1/2
b. 3
c. 1/3
d. 2
e. none of the above
Answer:
What is the geometric sequence?
Step-by-step explanation:
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts she may use. Write and solve a linear equation to find the total cost for her customer if she fixes a bike from 8:30 a.m. to 12:30 p.m
Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
Find the measure of
Answer:
the measure of what?????
can you please help me!!!! thank you
Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
PLEASE HELP ILL GIVE BRAINLIEST
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
18. A circle has a circumference of 37.68 inches. Follow the steps below to find its radius. Use
3.14 for
2. Fill in the blanks, using the formula C = dr.
b. Solve ford by dividing both sides by 3.14.
What does the answer in part b represent?
d. What is the length of the radius of the circle?
Answer:
C = dπ
37.68 = d(3.14)
d = 12 inches
2r = d
2r = 12
radius = 6 inches
Does anybody know what measures a, b, and c would be?
Answer: A = 28 B = 47 C = 105 in degrees
Step-by-step explanation:
OKAY JUST A DISCLAIMER:
I did Geometry last year and the concepts are basically gone but I think I remember how to do this one
So I think one of the theorems stated that the inner angle is half of the outer arc.
So.. angle a would be 56/2 = 28
Angle b would be 94/2 = 47
Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
ill mark brainlist plss help
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.