Answer:
1. 50 km/h
2. 900 km/h
3. 3 hours
Step-by-step explanation:
1. The distance the car travels, Δd = 300 km
For how long it takes the car to travel the 300 km, Δt = 6 hours
Average speed, [tex]\overline v[/tex], is given as follows;
[tex]\overline v = \dfrac{The \ total \ distance }{The \ total \ time \ it \ takes } = \dfrac{\Delta d}{\Delta t}[/tex],
[tex]\therefore \overline v = \dfrac{300 \ km}{6 \ hours} = 50 \ \dfrac{km}{hour}[/tex]
The average speed of the car, [tex]\overline v[/tex] = 50 km/h
2. The distance the jet plane flies, d = 8,100 km
For how long it takes the the jet plane to fly the 8,100 km, t = 9 hours
The speed, v, of the jet plane is given as follows;
[tex]Speed, \ v = \dfrac{Distance}{Time} = \dfrac{d}{t}[/tex]
[tex]v = \dfrac{The\ distance \ the \ jet plane \ flies}{The \ time \ it \ takes \ to \ fly \ thart \ distance } = \dfrac{d}{t }[/tex],
[tex]\therefore v = \dfrac{8,100 \ km}{9 \ hours} = 900 \ \dfrac{km}{hour}[/tex]
The speed of the jet plane, v = 900 km/h
3. The speed of the storm, v = 20 km/h
The distance of the storm from the house, d = 60 km
The time 't' it takes the storm to reach the house is given as follows;
[tex]Speed, \ v = \dfrac{d}{t}[/tex]
Therefore, by cross multiplying and dividing by 'v', we get;
[tex]Time, \ t = \dfrac{d}{v}[/tex]
Plugging in the known values of 'd' and 'v' gives;
[tex]Time, \ t = \dfrac{60 \ km}{20 \ \dfrac{km}{hour} } = 3 \ km \times \dfrac{hour}{km} = 3 \ hours[/tex]
The time it takes the storm to reach the house, t = 3 hours.
Please please help me with this ASAP ASAP please
Answer:
Volume: 762 in³
LA: 448 in²
SA: 544 in²
Step-by-step explanation:
So first, the volume, the formula to find the area is base x height, so we have to find the base first:
8 x 12 ÷ 2 = 48
48 x 14 = 672
So the volume of the prism is 762 in³
Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:
10 x 14 = 140 x 2 = 280
12 x 14 = 168
168 + 280 = 448
So the LA = 448 in²
Now, for the surface area:
12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)
96 + 448 (the LA) = 544
So the SA = 544 in²
hope this is right:)
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.
Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
How to solve for (3v^3r^4)^2
Answer:
9v^6r^8
Step-by-step explanation:
3v^6 · 3r^8
Find the value of x
X
Answer:
20 or 18
Step-by-step explanation:
The value of x is 10.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
From the triangle it can be assume that ΔPSR is similar to ΔPQR.
Then, the ratio of corresponding sides of triangles are proportion.
So, PQ/ PS = QR/ RS
9/15 = 6 /x
9x = 90
x= 90/9
x= 10
Thus, the value of x is 10.
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Does anyone know any good Algebra 1 studying tips. Big tests coming up.
Answer:
Review your notes, make flashcards, go back to your textbook and solve problems you haven't solved. Just keep doing practice problems
Given the function y = x/3 + 1, suppose you have a function value where x (input) is 6. What would be the corresponding y value (output)?
Answer:
3
Step-by-step explanation:
Given the function : y = x/3 + 1
If an input value, x is given as 6 ;
Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y
Calculation goes thus ;
y = 6/3 + 1
y = 2 + 1
y = 3
Output, y = 3
What is the simple interest earned on $1000.00 that earns 6% interest for 10 years?
Answer: $600 interest
Step-by-step explanation:
Formula
I=Prt
I=Interest amount
P=Principle
r=Interest rate
t=Time
Given
P= $1000.00
r= 6%
t= 10 years
Solve
I=Prt
I=(1000)(6%)(10)
I=$600
Hope this helps!! :)
Please let me know if you have any questions
Mhanifa can you please help? This is due asap! Look at the pic attached below. I will mark brainliest. Guys please don't put random answers thanks :)
Answer:
37°Step-by-step explanation:
Angle DBC is congruent with ADB as alternate interior angles
∠DBC ≅ ∠ADBm∠DBC = m∠ADB = 37°What is the surface area of a sphere with a radius of 30m?
A 3,600 (pie) M ^2
B 90,000 (pie) M ^2
C 1,800 (pie) M ^2
D 900 (pie) M ^2
Giving brainlist to whoever answers
Answer:
its B
Step-by-step explanation:
3.9*8.2*4.1 is 131.118
Answer:
4 x 8 x 4 = 128
if not then try
3.9 x 8.2 x 4.1 = 131.118
round to the nearest whole number to get: 131
Find the area, someone help please
Answer:
Area is 1246
Step-by-step explanation:
39 x 34 - 10 x 8
Marking brainliest:).
Answer:
0.18
Step-by-step explanation:
Divide 5.40 by 30.
Can I have brainliest?
Answer:
0.18
Step-by-step explanation:
total cost - the amount of markers = price per marker
5.40/30=0.18
Which of the following choices are binomial random variables?
Answer: Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.
Step-by-step explanation: If the answer choices are:
- Lulu rolls a pair of fair dice until she gets a sum 10. Let T = the number of rolls it takes.
- Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.
- Anna asks a random sample of 10 people how many siblings they each have. Let S = the average number of siblings in the sample.
PLEASE HELP IM TIMED ON THIS ! I NEED HELP ASAP!
Ans :
a^6 is ur answer
What's 65-70 days in weeks
Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
9-10
Step-by-step explanation:
An aquarium holds 11.39 cubic feet of water, and is 2.3 feet long and 1.8 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2.75feet
Step-by-step explanation:
Given data
Volume= 11.39 cubic feet
Length= 2.3 feet
Width= 1.8 feet
Depth= ???
The expression for the volume is
Volume= Length*Width*depth
11.39=2.3*1.8*d
11.39=4.14d
d= 11.39/4.14
d= 2.75
Hence the depth is 2.75feet
HELP giving brainlest and extra points!!
Answer:
32x? I'm so sorry if i'm wrong.
Step-by-step explanation:
Dad is getting food ready for my birthday party! Including me, there will be 14 people at the party. Dad is baking cupcakes for us! He can bake 16 cupcakes per batch.
How many batches should I tell Dad to make so we can each have 5 cupcakes?
Answer:
5 batches
Step-by-step explanation:
fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person
(if rule is 5 per person)
14x5=70
then you want to find how many batches to make
70/16=4.375
but you and make 0.375 batches so just make 1 more batch
so you should tell your dad to bake 5 batches
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
14, 84,504,...
Find the 6th term
Answer:
108,864
Step-by-step explanation:
The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)
Solve the 2x^2 - 5 = 13
Answer:
x=3
x=−3
Step-by-step explanation:
2x^2 - 5 = 13
Subtract 13 from both sides.
2x^2 - 5 - 13 = 0
Subtract 13 from −5 to get −18.
2x^2 - 18 = 0
Divide both sides by 2.
x^2 - 9 = 0
Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).
(x−3)(x+3)=0
To find equation solutions, solve x−3=0 and x+3=0.
x=3
x=−3
Find the midpoint between the two points: (-7, 9) and (5, -1).
A. (18, -23)
B.(11, 4)
C.(13, 18)
D.(1.5, -2)
Answer:
The coordinates of the midpoint between the two
points is (-1,4)
Step-by-step explanation:
Here, we want to find the midpoint between the two given points
To do this, we are to use the midpoint formula
We have this as;
m = (x1 + x2)/2, (y1 + y2)/2
(x1,y1) = (-7,9)
(x2,y2) = (5,-1)
(x,y) = (-7 + 5)/2, (9-1)/2
= (-2/2, 8/2) = (-1,4)
When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
How far, in metres, is it from my home to my school?
Given:
I have walked 20% of the way to school.
I have 1200 metres more to walk than when I have 20% of the walk remaining.
To find:
The distance from home to school.
Solution:
Let x be the distance from home to school.
I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.
It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.
[tex]1200=\dfrac{60}{100}x[/tex]
[tex]1200=0.6x[/tex]
[tex]\dfrac{1200}{0.6}=x[/tex]
[tex]2000=x[/tex]
Therefore, the distance from home to school is 2000 metres.
How far, in metres, is it from my home to my school is 2,000 metres.
First step is to formulate
1200/(1-2×20%)
Second step is to find how far in metres
Distance=1200/(1-0.4)
Distance=1200/0.6
Distance=2,000
Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.
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Which statement explains why 49 is a perfect square
Answer:
49 is equal to 7 times 7
Step-by-step explanation:
perfect squares are a number that are the product of the same number e.g. 4*4=16, 5*5=25
ummmm i really need help
Answer:
B
Step-by-step explanation:
Angles a and b are complementary angles because they both add up to 90 degrees, which fulfills the definition of complementary.
Answer:
B, complementary
Step-by-step explanation:
I did something similar to this and got it correct- hope this was helpful!
Ashley flies a drone 2,530 ft in 5 s. At this rate how many miles does the drone fly in a minute? 1 mi = 5280 ft
Answer:
I think the answer is 5.75 miles.
Step-by-step explanation:
If the drone flies 2,530 ft in 5 seconds, that means that in one minute it flies 30,360 ft. And 30,360 divided by 5,280 is 5.75.
There are 5.74 miles does the drone fly in a minute.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Ashley flies a drone 2,530 ft in 5 s.
Now,
Since, Ashley flies a drone 2,530 ft in 5 s.
We know that;
1 minute = 60 seconds
Hence, Number of miles in 1 minutes = 2530/5 × 60
= 30,360 ft
Since, We know that;
1 ft = 0.000189 miles
Hence, we get;
⇒ 30360 × 0.000189
⇒ 5.74 miles
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12.3 cm
What is the exact volume of the sphere?
O 2481.1567 cm
O 7263.397 cm
O 7790.837 cm
O 22807.057 cm
Answer:
Volume = 4/3 * PI * radius^3
Volume = 4/3 * PI * 12.3^3
Volume = 1.33333333 * 3.14159265* 1860.867
Volume = 7794.7814531034
The answer is 7790.837
Step-by-step explanation:
If X/2 - 1=X/3 + 4, then x=?
Answer:
X - 1 = X + 4
2 3
X- 2 = X + 12
2 3
3(x - 2) = 2(x + 12)
3x - 6 = 2x + 24
X = 18
Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p , the cost, in dollars, of each notebook?
Answer:
this is just a hint
Step-by-step explanation:
the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.
Nicholas bought 3 cartons of confetti eggs. Each carton contained 12 confetti eggs. One package
of confetti eggs hadi 4 broken.
Answer:
3 times 12 equals 36. 36-4=32. The answer is 32
Step-by-step explanation:
help please ! thank u sm
Given:
The figure of triangle LNM.
To find:
The Law of Sines for the given triangle.
Solution:
Law of sines: In triangle ABC,
[tex]\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}[/tex]
Similarly, the Law of Sines for the given triangle LNM is:
[tex]\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}[/tex]
Therefore, the correct option is b.
