The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.
How to apply uniform motion to determine the travel time of two boatsIn this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:
[tex]\frac{200}{x-1} = \frac{160}{x}[/tex] (1)
Now we clear [tex]x[/tex] within (1):
[tex]200\cdot x = 160\cdot (x-1)[/tex]
[tex]x = 4[/tex]
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. The complete statement is shown below:
Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?
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please help i need the answer to this question -5x-48=-7(x+8)
Write 0.5 repeating as a fraction
Answer: 5/9
Step-by-step explanation: I took a test on this ;)
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A coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table.
Trial First Flip Second Flip
1 H H
2 H T
3 T H
4 H T
5 T T
6 H H
7 T H
8 H T
9 H H
10 T T
11 T T
12 H H
Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?
Enter your answer as a reduced fraction, like this: 3/14
From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 12 experiments, 5 resulted in one of each, hence:
[tex]p = \frac{5}{12}[/tex]
There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
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Lukas plotted these points on the number line.
Point A: −12
3
Point B: −2
3
Point C: −11
3
Point D: −22
3
Which point did he plot incorrectly?
Point
Please mark BRAINLIEST
Answer: Point A: −12 3
explanation: I hope that helps
Please help me this question
This is the answer. If this helps you please give brainliest.
Work Shown:
[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]
The 2^x matches with 2^5, showing that x = 5.
3^y matches with 3^3 to get y = 3
Therefore, x+y = 5+3 = 8
The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.
What was the median number of minutes students brushed
their teeth?
Answer:
2.5
Step-by-step explanation:
BASED ON GIVEN DATA:
⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES
⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES
THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.
Answer: 0.5 minutes
Step-by-step explanation:
What number
comes next?
78.2; 78; 77.8; ...
Answer:
77.6
Step-by-step explanation:
Each number is subtracted by 0.2
Hope that helps!
This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai
The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.
What is a map?Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.
In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.
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table:
0 16
2 23
4 33
6 48
8 69
10 99
is this linear or exponential?
Answer:
exponential
Step-by-step explanation:
it is an exponential function
+7
+10
+15
+21
+30
please help! pleaseeeeee
Step-by-step explanation:
First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154
Find the diameter when the circumference is 47.1 in
C = pi x d
3,14 x d = 47,1
d = 15
A rectangular prism has a total surface area of $56. $ Also, the sum of all the edges of the prism is $60. $ Find the length of the diagonal joining one corner of the prism to the opposite corner
Length of the diagonal of rectangular prism is equals to 13units.
What is rectangular prism?
" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."
Formula used
Total surface area of the rectangular prism = 2(l b + b h +l h)
Sum of all the edges of the prism = 4 (l +b + h)
length of the diagonal of the prism = √l² + b² + h²
l = length of the prism
b = width of the prism
h = height of the prism
According to the question,
Given,
Total surface area of the rectangular prism = 56 units
⇒2(l b + b h +l h) = 56
Sum of all the edges of the prism = 60 units
⇒4(l + b + h) = 60
Divide both the side by 4 we get,
(l + b + h) = 60 / 4
⇒(l + b + h) = 15 ____(1)
Squaring both the side of (1) we get,
(l + b + h)² = (15)²
⇒l² + b² + h² + 2 (l b + b h +l h) = 225
Substitute the value of total surface area to get length of the diagonal,
l² + b² + h² + 56 = 225
⇒l² + b² + h² = 225 - 56
⇒l² + b² + h² = 169
⇒√l² + b² + h² = √169
⇒√l² + b² + h² = 13
Hence, length of the diagonal of rectangular prism is equals to 13units.
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A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². The height of the pre-image is 5. 8 m. What is the height of the image? Enter your answer as a decimal in the box. M.
The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m
How does dilation affect length, area, and volume of an object?Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly,
Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
For this case, we're given that;
Surface area of pre-image = 35 m²Surface area of dilated image = 315 m²Height of pre-image = 5.8 mHeight of dilated image.Let the scale fator of dilation be k.
Then:
So area of pre-image = k² × area of dilated image
Thus, we get:
[tex]35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3[/tex]
(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)
Thus, we get:
Height of pre-image = (1/3) × Height of dilated image (say h)
[tex]5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m[/tex]
Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m
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Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answer:
[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]
I am joyous to assist you at any time.
Find the MEAN of the following:
13, 19, 17, 10, 22, 14, 17
Mean: 16
To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.
1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112
2. 112 / 7 = 16
3. The mean is 16.
Answer: 16.
Step-by-step explanation: To find the mean of any given data, you need to add all the data. The work is below:
13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.
Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data. The work is below:
112 / 7 = 16.
Therefore, the mean of this data is 16.
Hope this helps! :)
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answer: 94 degrees
Step-by-step explanation:
The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00 , and each additional box costs $10.00 .
a. Is the relationship between the number of additional boxes of candles purchased and the total money spent linear?
Yes
Question 2
Explain your answer.
Answer:
b. C= 14+(10b)
c. C = 14+ ( 10 x 3) = 14+30 =44
Step-by-step explanation:
Hope this helps
A rectangular piece of paper has an area of 117 square inches and a perimeter of 44 inches. What are the dimensions of the paper?
Answer:
13x9
Step-by-step explanation:
half of perimeret of rectangle L+W
half of perimeter of rectangle = 44/2 = 22
L+W=22
LxW=117
Think of 2 numbers that added =22 and multiplied =117
13+9 =22
13x9 =117
use the image to match the arc/angle measure.
(there is one more option that i wasn’t able to get in the photo it is 67°
Answer:
The following measurements are:
[tex]m\angle{STR}=23^\circ[/tex] (Option #4)
[tex]m{QT}=142^\circ[/tex] (Option #7)
[tex]mST=134^\circ[/tex] (Option #5)
[tex]mRQ=38^\circ[/tex] (Option #2)
Step-by-step explanation:
To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
[tex]46=2\theta\\23=\theta[/tex]
Next, we can find the measure of arc QT using the same theorem. So,
[tex]QT=2(71)\\QT=142[/tex]
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:
[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]
We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:
[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]
if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?
Answer:
1:300
Step-by-step explanation:
4. Let f(x) = x2 - 81. Find f'(x). (1 point)
O
+ Vx+81
09x
w
1
x2 -81
81
Here we are given that ;
[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]
Differentiating both sides w.r.t.x ;
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]
This is the required answer
Each regular polygon has radii and apothem as shown. Find the measure of
each numbered angle.
Answer:
How can i unsubscribe brainly?
Answer:
Step-by-step explanation:
m∠1 = 360° ÷ 8 = 45°
m∠2 = 45° ÷ 2 = 22.5°
m∠3 = ( 180° - 45° ) ÷ 2 = 67.5°
help pls asap i be grateful
Answer: number a
Step-by-step explanation:4 times 2 is 8 8 times 2 is 16
Please help I don't understand because of this depreciation stuff. I want to know which one will be a better buy
So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different
Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps
For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340
Since we're decreasing, subtract 2,340 from the original cost
18,000-2,340=$15,660
Same process for the second option
14%*22,000=3,080
22,000-3,080=$18,920
Please Answer ASAP
I was kind enough to give the old ones we had a the beginning of a school year
The other one is not mines
Answer:
The answer = 9
D : 729
Step-by-step explanation:
here step-by-step is 6/2 * (1 + 2) = 9
Find the measure of angle M in the paralellogram. ANSWER QUICK PLS, LOTS OF POINTS, WILL GIVE BRAINLIEST WILL REPORT!!
Opposite angles are equal in parallelogram
7x-4=5x+127x-5x=12+42x=16x=8<M:-
7(8)-456-452°x=8. The steps are in the attachment.
What equation best matches?
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS THANKSS
Answer:357.96in
Step-by-step explanation:
1. Surface area of a cylindar is A= 2πr(r+h)
2. A= 2·π·3 (3+16)
Second question
Answer: 296in
What is the surface area of this right triangular prism?
Answer:21.08in^2.
Step-by-step explanation:A=2(wl+hl+hw)=2·(4·8+3·8+3·4)=136cm2
136 cm^2 to inch^2.=21.08
Answer:
96in²
Step-by-step explanation:
i took k-12 quiz
From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from the base of the cliff is the ship? Please help
Answer:
9470m above the sea level.
Step-by-step explanation: