Answer:
[tex]56\%[/tex]
Step-by-step explanation:
The function is
[tex]y=a(1230.25)^{t/16}[/tex]
We need to convert it into the form
[tex]y=a(1+r)^n[/tex]
where r = Growth rate
n = Time taken
a = Initial quantity
[tex]y=a(1230.25)^{t/16}\\\Rightarrow y=a((1230.25)^{1/16})^t\\\Rightarrow y=1.56^t[/tex]
1.56 can be written as [tex]1+0.56[/tex], so
[tex]y=(1+0.56)^t[/tex]
So, [tex]r=0.56[/tex]
In percent [tex]0.56\times 100\%=56\%[/tex]
The duckweed will increase each day by [tex]56\%[/tex].
A student earns $8 for every lawn he mows. Write the equation that shows the
relationship between the number of lawns mowed { and the wages earned d?
Answer:
d=8$
Step-by-step explanation:
Look at the equation below.
Answer:
8/3
Step-by-step explanation:
Someone help me please
The function d=16t^2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function to estimate the time it takes an object to fall 100 feet.
Answer:
Step-by-step explanation:
d = 16t^2
t^2 = d/16
t = 0.25√d
When d = 100 ft, t = 2.5 seconds
The table below shows data from a survey about the amount of time high school student spent reading in amount of time spent watching videos each week (without reading). Which response best describes outliers in the data sets?
A. neither data set has suspected outliers
B. The range of data is too small to identify outliers
C. video has a suspected outlier in the 26-hour value
D. due to the narrow range of reading compared to video the video values of 18, 21, and 26 are all possible outliers
Answer:D
Step-by-step explanation:
Neither data set has suspected outliers response best describes outliers in the data sets.
Option A is correct.
What is IQR?The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
According to question
Reading:
Median = [tex]\frac{7+12}{2}[/tex] = 9.5
[tex]Q_{1}[/tex] = 5 × 25% + 7 × 75% = 6.5
[tex]Q_{3}[/tex] = 14 × 25% + 12 × 75% = 12.5
IQR is the difference between Q3 and Q1
IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 12.5 - 6.5 = 6
[tex]Q_{1}[/tex] - 1.5 IQR = 6.5 - 1.5 × 6 = -2.5 < Min = 5
[tex]Q_{3}[/tex] + 1.5 IQR = 6.5 + 1.5 × 6 = 15.5 > Max = 15
So no outlier in reading
Video :
[tex]Q_{1}[/tex] = 7 × 75% + 4 × 25% = 6.25
[tex]Q_{3}[/tex] = 21 × 25% + 18 × 75% = 18.75
IQR is the difference between Q3 and Q1.
IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 18.75 - 6.25 = 12.5
[tex]Q_{1}[/tex] - 1.5 IQR = 6.25 - 1.5 × 12.5 = -12.5 < Min = 1
[tex]Q_{3}[/tex] + 1.5 IQR = 18.75 + 1.5 × 12.5 = 37.5 > Max = 26
So no outlier in video
So neither data set has suspected outliers.
Option A is correct.
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Help please! Asap!! Will give brianliest!
Answer:
A
Step-by-step explanation:
The reflected rays come from a point on the reflective surface. That point is where the lines meet is the vertex.
Simplify
3x + 1-4x + 4
Answer:m a t h w a y
Step-by-step explanation:
Answer:-x+5
Step-by-step explanation:
4 times the difference of 10 and 7.
Answer:
very easy
Step-by-step explanation:
(10-7)x4
3x4=12
hope it helps you
mark me as brainlist
Which expression is equivalent to x2 – 26x + 120?
Answer:
(x-20) (x-6)
Step-by-step explanation:
=>x^2-26x+120
=>x^2-20x-6x+120
=>x(x-20)-6(x-20)
=>(x-20)(x-6)
1. Consider the figure below.
Determine the measure of each interior angle of A MAN and classify the
triangle.
Answer:
A triangle sums to 180 x-48+2x-164+x= 1804x-212=180x= 90m<A= 16m<M=90m<N= 52 Right Triangle Give brainlist I do exams and quizzes12. 4x2 - 4y2 + 1622 - 16xz
Answer:
8(203-2xz)
1624-16xz
have a great day :)
Answer:
2(2x^2-2y^2+811-8xz)
Step-by-step explanation:
Rewrite as :
=[tex]2*2x^2-2*2y^2+2*811-2*8xz[/tex]
Factor out common term 2:
[tex]=2(2x^2-2y^2+811-8xz)[/tex]
Is this no solution?
Answer:
no solution
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
There are no real solutions.
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
a building 62 feet tall casts a shadow 21 meters long . at what angle is the sun shining on the building?
9514 1404 393
Answer:
42.0°
Step-by-step explanation:
To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.
Tan = Opposite/Adjacent
tan(angle of elevation) = (building height)/(shadow length)
angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)
angle of elevation ≈ 41.984°
The angle of elevation of the sun is about 42.0°.
Answer:
71.29
Step-by-step explanation:
You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
hudson pick 1 1/4 baskets of apple suzy pick 2 basket of apple how muck more basket apple did suzy pick than hudson.
Answer:
3/4
Step-by-step explanation:
Hudson = 1 1/4 baskets
Suzy = 2 baskets
How much more apple Suzy picked than Hudson :
Suzy - Hudson
2 - 1 1/4
2 - 5/4
L. C. M = 4
(8 - 5) / 4
3 /4 apples
Suzy picked 3/4 more apples Than Hudson
HELP ASAP PLEASE THIS IS VERY IMPORTANT EXPLAIN FOR BRAINLIST AND GET IT RIGHT FOR BRAINLIST TY!
Answer:
6squared+6squared+12squared=216 then double 216 hope this is it!
Step-by-step explanation:
Answer:
b) 180 cm²
Step-by-step explanation:
find area of square = 6 x 6 = 36
find area of one triangle = 1/2(6)(12) = 3(12) = 36
There are 4 congruent triangles, so 36 x 4 = 144
36 + 144 = 180
Draw the following triangle after a translation 1 unit to the left and 1 unit up.
HELP
Step-by-step explanation:
move the shape 1 square to the left and then move it one square up
The triangle after a translation 1 unit to the left and 1 unit up will have vertices at (2, 2), (-4, 4), and (-2, 0).
Translation is a rigid transformation that moves each point of a figure a certain distance in a specified direction. For this triangle, we will translate all its vertices 1 unit to the left and 1 unit up.
Impact on the Coordinates:
Let's consider each vertex of the triangle and apply the translation:
a) Vertex (3, 1):
After the translation, this point will move 1 unit to the left and 1 unit up. Therefore, the new coordinates will be (3 - 1, 1 + 1) = (2, 2).
b) Vertex (-3, 3):
This point will also move 1 unit to the left and 1 unit up. The updated coordinates will be (-3 - 1, 3 + 1) = (-4, 4).
c) Vertex (-1, -1):
Similarly, this point will undergo the translation, resulting in (-1 - 1, -1 + 1) = (-2, 0).
New Triangle:
Now, we have the new coordinates for the vertices after the translation:
Vertex 1: (2, 2)
Vertex 2: (-4, 4)
Vertex 3: (-2, 0)
The transformed triangle will have vertices at (2, 2), (-4, 4), and (-2, 0).
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What is the value of a? Round to the nearest tenth
Need help fast!!
Answer:
15.3
Step-by-step explanation:
tan(42) =a/17
a=tan(42)*17
Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees (I have to fill in the blank, I’ll give brainlist plssss helpppp lolll)
Answer:
Step-by-step explanation:
It’s 180°. The sum of the angles in a triangle is ALWAYS 180°.
.........................
Answer:
a=180-79
a=101
c=83 (vertically opposite angles)
d=c (corresponding angles)
d=83
b=a(corresponding angles)
b=101
Hope it helps
n plzz mark meh da brainliest
Answer: a=101 b=79 c=83 d=97
Step-by-step explanation:
A: angles on a straight line add up to 180° so you would take away 79° from 180° which is 101°.
B: angles on a parallel lines are always the same, you can see that 79 is at the same position as b.
C: opposite angles are always the same so it would still be 83°.
D: d is on other side as c and this would add up to 180° so as we already know that c is 83° you would have to take away 83° from 180° to get d.
x + y = 5
y = 3x + 1
How do I find the solution from these two equations by graphing
Answer:
x=1, y=4
Step-by-step explanation:
x+y=5 - (1)
y=3x + 1 (2)
Sub (2) into (1)
x + (3x +1)=5
4x=5-1
x=4 ÷4
=1
Sub x=1 into (2)
y=3(1)+1
= 4
Hope it helps
Have a good day
What are the slope and the y-intercept of the linear function that is represented by the graph?
O The slope is 3, and the y-intercept is 9.
O The slope is 3, and the y-intercept is 12.
O The slope is 4, and the y-intercept is 9.
O The slope is 4, and the y-intercept is 12
Answer:
D
Step-by-step explanation:
William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?
A. 4
B. 16
C. 24
D. 32
Answer:
24
Step-by-step explanation:
Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people
Now only the remaining 3 can come second - 3 people
Next, only the remaining 2 people can come third - 2 people
Finally, one person comes last - 1 person
4 x 3 x 2 x 1 = 24
If the solution to an inequality is t≤7.4 , which of the numbers below would be part of the solution?
Answer:
4.7, 5.1 and 7.4
Step-by-step explanation:
Given
[tex]t \le 7.4[/tex]
Required
Select numbers part of the solution
O 4.7 O 5.1 O 7.4 O 8.2 O 9.6
[tex]t \le 7.4[/tex] implies that, the value of t cannot exceed 7.4.
So, we have:
4.7, 5.1 and 7.4 in this range
However, 8,2 and 9,6 do not belong to this range
Is 9/9 less than, greater than, or equal to 7?
Answer:
less than
Step-by-step explanation:
ANSWER FAST!
The table shows the linear relationship between the number of right tickets purchased and the total cost of admission plus ride tickets at a carnival. which function can be used to find y, The total cost of attending the carnival in purchasing x ride tickets?
A. Y= 25x +8
B. Y= 8x + 25
C. Y= 8x+ 0.25
D. Y= 0.25x + 8
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
where did you get 36
Answer:
none did it
Step-by-step explanation:
In his science class, Boris conducted an experiment in which he used a glass prism to make a rainbow. He now wants to find the surface area of the prism. His teacher gets him a paper model of the prism and spreads it into a flat shape called a net. Boris can see that the net has exactly the same number of faces as the prism. The teacher tells Boris that he can use this net to find the surface area of the prism. Use this image of the net of the prism that Boris’s teacher drew to answer the questions in this activity.
Part A
What is the area of triangle i? Show your calculation.
Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.
Answer:
Use the formula for area of the triangle:
A = 1/2bh, where b- base, h- height or altitudePart AThe triangle i has:
b = 4 cm, h = 1.5 cmThe area is:
A = 1/2*4*1.5 = 3 cm²Part BTriangles have same area as they are congruent.
Total area is:
3*2 = 6 cm²The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.
K = ?
y = ?
Answer:
k = 24, y = 24x
Step-by-step explanation:
Given x and y are proportional then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = 72, x = 3 , then
72 = 3k ( divide both sides by 3 )
k = 24
y = 24x ← equation of proportion