Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
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PLEASE HELP ILL GIVE BRAINLIEST
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
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
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
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
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
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answer:
3
Step-by-step explanation:
the y axis
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
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
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 measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
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
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
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
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
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.
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Find the area of the shape
Answer:
I think the answer is 672 please be right
Can I have help with number 5
Answer:
1
Step-by-step explanation:
2a-21 / b
2(4)-21/3
8-7=1
Answer:
1
Step-by-step explanation:
(FIRST THING FIRST REMEMBER PEMDAS)
First you rewrite the number sentence with the clues you got.
2 x 4 - 21 / 3
Then you do 2x4 to get 8, then you rewrite the # sentence again
8 - 21 / 3
Next you divide 21 / 3 to get 7 and rewrite the sentence again
8-7
FINALLY you subtract 8-7 to get 1
A triangle has sides with lengths 8, 15, and 17.
1. Verify this is a Pythagorean Triple
2. Approximate the acute angles in this triangle
Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
What is the Pythagorean Triple?Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, A triangle has sides with lengths 8, 15, and 17.
1) Checking for Pythagorean triples;
17² = 289
8²+15² = 225+64 = 289 = 17²
∴ 17² = 8²+15²
Since, they are following the Pythagoras theorem so, they are Pythagorean triples.
2) Calculating the acute angles:- [please refer to attached figure]
Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,
sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)
∠ C = sin⁻¹(15/17)
∠ C = 61.92°
∠ A = 90°-61.92°
∠ A = 28.08°
Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
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Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
Find the measure of
Answer:
the measure of what?????
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.
Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
Which two types of lines only meet inside the triangle?
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
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}
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: