Answer:
A, because the cat is only 15 feet in the air and the TREE is 50 feet
For an object whose velocity in ft/sec is given by v(t) = -3t2 + 5, what is its displacement, in feet, on
the interval t = 0 to t = 2 secs?
Step-by-step explanation:
To find the displacement I'll give you two ways since I don't know if you had experience with calculus. So here's both ways.
Way 1: Graph 1: Geometric Apporoach.
I'll a graph where t is x axis and v is y axis. So we have a velocity versus time graph.
Then, we graph the function
Look Above this what graph I get
Now, to find displacement,
Remeber displacement is the product of velocity and time. So here displacement is area under the curve.
We want displacement from 0 to 2. so let form the shape under the curve.
Look at the second graph, we form a triangle and we get this
Area of Triangle is 1/2 bh.
The base is 2 and the height is -6 so we get
[tex] \frac{1}{2} (2)( - 12) = - 12[/tex]
Our height is -12 because velocity is a vector so it can be negative and down is negative.
So the displacement is -12
Way 2: Calculus Way.
We can use integration to find the answer.
[tex]∫(f(x)dx[/tex]
So now we have
[tex]∫( - 3 {t}^{2} + 5)dx[/tex]
[tex]∫( - 6t)[/tex]
Now we do,
[tex]∫( - 6(0 ) + - 6(2) = - 12[/tex]
So the area under the curve is -12. Thus displacement is -12
Train tracks are made of metal. Consequently, they expand when it's warm and shrink when it's cold. When riding in a train, you hear the clickety-clack of the wheels going over small gaps left in the tracks to allow for this expansion. Suppose you were a beginner at laying railroad tracks and forgot to put in the gaps. Instead, you made a track 01 mile long that was firmly fixed at each end. On a hot day, suppose the track expanded by A = 8 feet and therefore buckled up in the middle, creating a triangle.
The height of the triangle that forms the train track is 145,38 ft
How to calculate the height of the triangle?To calculate the height of the triangle we must take into account the information provided by
Base of the triangle = 1 mile = 5280 feetRailroad track expansion = 8 feetAccording to the above, we must perform the following operations:
5280 ÷ 2 = 26408 ÷ 2 = 42640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
Base: 2640ftHypotenuse: 2644 ft2644² = x² + 2640²x² = 2644² - 2640²x = [tex]\sqrt[2]{2644^{2} + 2640^{2}}[/tex].x = [tex]\sqrt[2]{21137}[/tex]x = 145,38 ftThat makes x approximately 145,38 ft.
Learn more about triangles in: https://brainly.com/question/2269348
116/100 as a percentage
Answer:116%
Step-by-step explanation: 116 divided by 100 = 1.16
Move decimal over
Which expression can be simplified to find the slope of the trend line in the scatterplot?
answer choices are:
2-8/78-87
78-87/8-2
78-8/87-2
8-2/78-87
Answer:
B - StartFraction 78 minus 87 over 8 minus 2
ASAP 100 POINTS AND BRAINLIEST( please im begging u)
Solution:
To find the mean, add the set of data. Then divide it by the number of terms in the data.
1. Add the terms in the data.
[tex]\rightarrow \frac{1}{2} + \frac{1}{3} + \frac{2}{3} + 1\frac{1}{2}\\\\\ \rightarrow \frac{3}{6} + \frac{2}{6} + \frac{4}{6} + \frac{3}{2} \\\\ \rightarrow \frac{3}{6} + \frac{2}{6} + \frac{4}{6} + \frac{9}{6} \\\\ \rightarrow \frac{18}{6} = 3[/tex]
Divide 3 by 4 since there is 4 terms in the data.
2. Divide the "added" data by 4 since there is 4 terms.
[tex]\rightarrow Mean \ of \ data \ set = 3 \div4[/tex]
[tex]\rightarrow Mean \ of \ data \ set = \frac{3}{4} = 0.75[/tex]
The mean of the data set is [tex]\frac{3}{4}[/tex].
Answer:
0.75
Step-by-step explanation:
1/2 + 1/3 + 2/3 + 1 1/2 = 3 3 / 4 = 0.75
1. A fraction that includes both a whole number and a proper fraction is known as? 2. A fraction where the numerator is bigger than the denominator is known as proper fraction. True or False ?
Answer:
1. Mixed fraction 2. false
I hope this helps
Step-by-step explanation:
Five gentlemen went to Molesky’s restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings.
List all 10 possible SRSs of size n = 2, calculate the mean number of wings eaten for each sample, and display the sampling distribution of the sample mean on a dotplot.
Is the sample mean an unbiased estimator of the population mean? Justify your answer.
If we increase the sample size, does the variability of the sampling distribution change? Explain
The sampling computed simply illustrates that the population mean will be 20.
How to solve the samplingIt should be noted that the population mean will be calculated thus:
= (6 + 24 + 18 + 20 + 32)/5
= 100/5
= 20
It can be deduced that the sample mean is an unbiased estimator of the population mean.
Lastly, when there's an increase in the sample size, the variability of the sampling distribution change. This is because there's a reduction.
Learn more about sampling on:
https://brainly.com/question/17831271
Charles ran a total of 54.8 miles this week. Jaime ran 0.55 times as many as Charles. How many miles did Jaime run?
Answer:
84.94
Step-by-step explanation:
54.8 X 0.55 = 30.14
54.8 + 30.14 = 84.94
Jaime ran 84.94 miles.
Have an amazing day!
Please mark brainliest!
Number 9 or 11 please
Answer:
Step-by-step explanation:
Use the simple interest formula
Where interest = Principal * Rate * Time
A = $1,840.00
I = A - P = $240.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 1600(1 + (0.05 × 3)) = 1840
A = $1,840.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 5% per year for 3 years is $1,840.00.
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 1/4 pounds, and Nathan picked 3 3/ 4pounds. How many pounds did they pick altogether?
8 pounds
7 pounds
8 1/2 pounds
7 1/2 pounds
Answer:
8 pounds
Step-by-step explanation:
Take the 3 and 4 pounds at them together to get 7.
3/4 and 1/4 add up to one
1 + 7 equals 8
What does a equal in -3=3a+6
Answer:
By definition, -6 is the additive inverse of 6, which is that number that when added to 6 gives zero.
Answer:
-3=3a +6
-3a=6+3
a=-3
so the answer would be -3
3a-2/3+2a+3/2=a+7/6.find a
I think your question seems to be ;
[tex]{\:\implies \quad \sf 3a-\dfrac23 +2a+\dfrac32 =a+\dfrac76}[/tex]
So I will be solving for that ;
[tex]{\:\implies \quad \sf 3a+2a+\left(\dfrac32 -\dfrac23\right)=a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a+\left(\dfrac{9-4}{6}\right)=a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a+\dfrac56 =a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a-a=\dfrac76 -\dfrac56}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac{7-5}{6}}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac26}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac13}[/tex]
[tex]{\:\implies \quad \sf a=\dfrac{1}{3\cdot 4}}[/tex]
[tex]{\:\implies \quad \bf \therefore \quad \underline{\underline{a=\dfrac{1}{12}}}}[/tex]
Answer number 10 please
Answer:
$40 + x = $110
x = $110 - $40
x = $70
x = lowest price
I have multiple problems! I am making this worth 50 points for anyone who answers!
Please solve all of the different problems and solve multiple correct to get brainliest!
I don’t expect for all of them to be correct but please try!
Thank you brainly community!
Find the indicated side of the triangle using
the properties of a 30-60-90 triangle.
b
a
30°
12
b =
M
[?]
Enter
Check the picture below.
Help!!!! Me Please Its A Math Question ! What is the range of the quadratic equation whose graph contains the following points?
Vertex at (0, 4)
Other points on graph are (-2, 0), (-1, 3), (1, 3) and (2, 0).
Question options:
y>4
y≤4
y<4
y≥4
Answer:
It would be y≤4
Step-by-step explanation:
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
[tex]c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ [/tex]
1.5c+876−2c=817
Step 1: Simplify both sides of the equation.
1.5c+876−2c=817
1.5c+876+−2c=817
(1.5c+−2c)+(876)=817(Combine Like Terms)
−0.5c+876=817
−0.5c+876=817
Step 2: Subtract 876 from both sides.
−0.5c+876−876=817−876
−0.5c=−59
Step 3: Divide both sides by -0.5.
[tex]c = \frac{ - 59}{ - 0.5} [/tex]
c=118
in the first formula
[tex]a = 438 - c \\ a = 438 - 118 \\ a =320[/tex]
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
[tex]c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ [/tex]
1.5c+876−2c=817
Step 1: Simplify both sides of the equation.
1.5c+876−2c=817
1.5c+876+−2c=817
(1.5c+−2c)+(876)=817(Combine Like Terms)
−0.5c+876=817
−0.5c+876=817
Step 2: Subtract 876 from both sides.
−0.5c+876−876=817−876
−0.5c=−59
Step 3: Divide both sides by -0.5.
[tex]c = \frac{ - 59}{ - 0.5} [/tex]
c=118
in the first formula
[tex]a = 438 - c \\ a = 438 - 118 \\ a =320[/tex]
2/5 of a number is 16. What is the number
Answer:
2x/5 =16
=> 2x= 16×5= 80
=> X= 40 answer
A square has a side length of 18x + 48. What is the perimeter of the square?
Answer:
72x + 192 units
Step-by-step explanation:
The perimeter of a square is 4s, where s = side. We are given one side length as 18x + 48.
[tex]4(18x+48)[/tex] [tex](4)(18x)+(4)(48)[/tex][tex]72x+192[/tex]Therefore, the answer is 72x + 192 units.
Which of the following are solutions to the inequality below? Select all that apply.
here it is y − 2 ≤ 9
y = 11
y = 12
y = 4
y = 2
y=11
may be the answer is this!
was it correct?
What theorem shows that DEF ≅ GFE?
Answer:
propotional theorem
Step-by-step explanation:
Propotional theorem is the suitable theorem
Answer:ASA
Step-by-step explanation: Because there is a Angle then side then another angle connecting them if you are on savvas
find the equation of P(0,4) Q(2,0)
Answer:
y = -2x + 4
Step-by-step explanation:
y / 4 = x - 2 / -2
-2y = 4(x - 2)
-y = 2(x - 2)
-y = 2x - 4
y = -2x + 4
»(y + 0)/4 = (x - 2)/(0 - 2)
»y/4 = (x - 2)/(-2)
»-2y = 4(x - 2)
»-2y = 4x - 8
»y = -4x - 8/(-2)
»y = -2x + 4✅
A roll of film for this camera costs $4.79. There
are 16 shots on the roll. It costs $12.17 to get
the film developed. What is the total cost of the
16 photos? How much does each snapshot cost
including the film and the developing?
Answer:
The total cost is $16.96
The cost per photo is $1.06
Step-by-step explanation:
Hello!
Part 1:1 roll of film costs $4.79. 1 roll of film has 16 photos. To develop the 16 photos, you need to pay $12.17.
First, let's find the total cost for the film and the development for 1 roll of film:
Total Cost = Cost of Film + Cost of developingTotal Cost = $4.79 + $12.17Total Cost = $16.96The total cost of 16 photos is $16.96
Part 2:Now, we have to find the price per picture on the roll of film. We know that there are 16 shots on the film, so we can simply divide the total price by 16 to find the price per picture.
Divide:
$16.96 ÷ 16($16 ÷ 16) + ($0.96 ÷ 16)$1 + $0.06$1.06The price per photo is $1.06
Compare the volumes of the right prism and the oblique prism. Explain.
Look at the picture to answer.
Also this is worth 100 points(you get 50, and more if your answer is good and I Brainliest you (if that makes any sense))
Answer:
Both of the volumes are equal.
Step-by-step explanation:
Since both figures have the same base and have the same heights, the figures have equal volumes. If the height of the oblique prism was not outside of the figure and was instead the diagonal line, the volumes would not be the same. Rectangular prisms and oblique prisms are only equal when their bases (l*w) and the heights are equal, and the heights are only equal if the height of the oblique prism is outside of the figure, as shown in the image.
Answer:
They are the same.
Step-by-step explanation:
Since the height of the slanted prism is the same height as the regular one, the volumes work out. Even if slanted the formula is STILL lengthxwidthxheight.
Which fraction is equivalent to negative 2 over 3?
Answer: 4/6, 6/9, 8/12, 10/15
Step-by-step explanation:
Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?
Answer:
$29.25
Step-by-step explanation:
39 x .25 = 9.75
39 - 9.75 = 29.25
f + 1/4 = - 7/2
Solve for f
Answer:
f = -15/4
Step-by-step explanation:
f + 1/4 = -7/2
- 1/4 -1/4
f = -15/4
Feel free to ask me any questions in the comments!
A rectangle has an area of 342 square meters. The width is 2 more than 4 time the length. Find the length and width, in meters of the rectangle
Answer:
length: 9 mwidth: 38 mStep-by-step explanation:
Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...
x(4x+2) = 342
2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form
(2x +19)(x -9) = 0 . . . factor
x = -19/2 or +9 . . . . . the length is the positive solution: 9
(4x+2) = 4(9) +2 = 38 . . . . find the width from the length
The length of the rectangle is 9 meters. The width is 38 meters.
Determine the slope of the line.
A. -4
B. -1/4
C. 1/4
D. 4
Answer: C
Step-by-step explanation: Hope I help
PLEASEEEEEEEEEEE HELPPPP WILL GIVE BRAINLIEST!!!!!!!PLEASEEEEEEE
Answer:
7f lenghtg is 29.2
Step-by-step explanation:
