Answer:
In 9 hr it covers a distance of 828 km
In 1 hr it will cover a distance of 828 Divided 9 km = 92
In 6 hr it will cover a distance of 92 × 6 km = 552 km
All Done!
Answer:
552 Km
Step-by-step explanation:
find the speed in Km per hour then multiply by 6
828 Km ÷ 9 hours = 92 Km per hour
then distance covered in 6 hours is
distance = 6 × 92 = 552 Km
As part of maintenance, you need to replace a cross tie for a wooden roller coaster. You have a board that is 2.5 meters long, but a cross tie should be 1.5 meters long. Without a ruler or measuring tape, how would you know where to cut the board so that the cross tie is the correct length?
We an measure by some standard sale like our hands or foots or pinkie fingers or heigth etc.
Your foot: With this one it helps to know your European shoe size: 35 = 9′, 40 = 10″ and 45 = 11″. This is more accurate but more time consuming than using your stride to measure a space, as you must walk toe to the heel of your next foot.
Your height: We have compelled a perfectly 6-foot-tall person to lay on the floor to get a room dimension before, but it’s not necessary to go to that trouble. The distance between your fingertips with your arms stretched to the sides is roughly the same as your height.
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The scores on Dave’s first two biology tests are 65 and 81. By how
many points did Dave’s improve on his second test?
Answer:
16
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if i got it wrong i am so sorry
Which is a factor of 6z^2 -3z-2+4z?
A:2z+1
B:3z-2
C:z+2
D:2z-1
Answer:
D. (2z-1)
Step-by-step explanation:
If you solve 6x^2-3z-2+4z you should get (2z-1)(3z+2). Which automatically gives you a factor of 2z-1.
A $44,200.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account? Round to the nearest cent.
The balance amount at the end of 4 years in the account will be $53275
Principal amount= $44200
Rate of interest = 5% compounded annually
Number of years amount is invested for: 4 years
The formula for compound interest is given by:
A = P(1 + r/100)^n
where A = Final amount
P = principal amount invested
r = Rate of interest annually
n = number of years amount is invested
Putting the values in the formula we get:
A = 44200(1 + 5/100)^4
= 44200(1.05)^4
=44200*1.21
Amount at end of 4 years= 53725.37 or 53725
So, the balance amount at the end of 4 years in the account will be $53275
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A school has 400 students. If 40 students were surveyed, what percent of the school was surveyed?
Answer:
0.18
Step-by-step explanation:
Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country
To find: probability that the student is in high school and has visited a foreign country
Solution:
Let x denotes total number of students
Number of students in high school = 60% of x =
Number of students in middle school = 40% of x =
Number of students who are in high school and have visited foreign country = 30% of Number of students in high school =
Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =
Answer:
Step-by-step explanation:
160% Was surveyed!
40% of 400
Hat app is similar to game dvr but captures screenshots and generates a report of all actions taken?
The ideal substitute is OBS Studio, which is both open source and free. Simple Screen Recorder, Camtasia Studio, are other fantastic applications.
What is Windows Gamebar?
The Game Bar in Windows 10 is a feature made to make it easier for players to record gameplay, stream it online, take pictures, and use the X box app quickly. Although it is a useful tool, not everyone needs to use it or wants to have it on their PC.Is audio captured by Windows game capture?
When recording games, you can change the audio settings listed below: When recording a gaming clip, you can choose to record audio as well. When recording a game, you can decide whether you want to also capture the system and microphone audio.Learn more about Windows game
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During a cake-eating contest, Dave ate three and a half pizza and Daisy
ate two-thirds of a pizza. How many pizzas did they eat altogether?
HELP EXPLAIN STEP BY STEP!
Answer:
4 1/6
Step-by-step explanation:
Dave eats 3 3/6
Daisy eats 4/6
Together they eat 3 1/6
First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.
4 full pizzas plus 1/6 of a pizza
i.e. 4 full pizzas plus one extra slice
======================================================
Explanation:
1/2 = 3/6
2/3 = 4/6
The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6
That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.
This gives the mixed number 4 & 1/6
Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.
This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?
(A) 1:2
(B) 2:3
(C) 3:2
(D) 2:3
Answer:
B)2:3
Step-by-step explanation:
the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)
Which table has a constant of proportionality between y and x of 0.3?
Table C has a constant proportionality between y and x of 0.3.
A constant is an expression-unchanging value or number. It always has the same value.
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.
The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.
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You roll two six-sided dice. What is the probability that the sum is equal to 5? Write your answer as a fraction in simplest form.
Answer:
4/36 but reduce to lowest terms.
Step-by-step explanation:
The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.
4/36 which you can also reduce to lowest terms.
-7ab^2 + 9a^3b
factor it please
Step-by-step explanation:
= -7ab² + 9a³b
= -7b × ab + 9a² × ab
= ab × (-7b + 9a²)
The price for us postage stamps has increased over the years. since 1975, the price has increased from $0.13 in 2005 at a rate that is approximately linear. write a linear model for the price of stamps during this time period. let p represent the price and t represent the number of years since 1975.
It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.
This means the rate of change (slope) = 0.24/30 = 0.008
This means Price changed (increased) by $0.008 per year.
Slope = 0.008
The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13
The equation of a line is given as;
P = mT + b
Where m is the slope and b is the y-intercept.
Now, we can write the linear model equation as;
P = 0.008T + 0.13
Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;
P = 0.008(40) + 0.13
P = $0.45
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-x-12-3 or -62-x-1< need help with this please
Answer is x ≤ - 4
According to the question ,
- 3 ≥ x + 1
rearrange the equation
x + 1 ≤ - 3
x ≤ - 4 {solution of inequality}
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign
While graphing inequalities, we have to keep the following things in mind.
For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:
Write the equation such as "y" is on the left and everything else on the right.
Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.
If the endpoint is NOT included (i.e., in case of < or >), use an open circle.
Use open circle at either ∞ or -∞.
Draw a line from the endpoint that extends to the right side if the variable is greater than the number.
Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.
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Jim picks a number. he doubles that number, then adds 5, and gets 41 as his result. what was the original number jim picked?
Answer: 18
Step-by-step Explanation:
Subtract: 5 from 41 | 41-5= 36
Divide: by 2 | 36/2= 18
Answer:18
Step-by-step explanation:
SUBTRACT41 FROM 5
THAT GIVES YOU 38
THEN DIVIDE 38/2 AND IT WILL GIVES 18
Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.
please help, I need answers asap due tonight
The approximation for the square root of 15 is given as follows:
9 < 15 < 16.3 < sqrt(15) < 4.How to approximate a square root by perfect squares approximation?To approximate the square root of a number x by perfect square approximation, we have to find two numbers:
The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.Then, the square root of x will be on a compound interval between a and b.
For this problem, we have that:
3² = 9.4² = 16.Hence, the approximation for the square root of 15 is given as follows:
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In the figure below, m1= (x+24)° and m2=5x°,
Find the angle measures.
12
Measure of angle 1 is 50° and that of angle 2 is 130°
The sum of all the angles on a straight line is equal to 180°.
Here, we are given two angles ∠1 and ∠2
Also, we are given that
m∠1 = (x+24)°
and m∠2 = 5x°
As we can see from the given figure, ∠1 and ∠2 lie on a straight line
⇒ m∠1 + m∠2 = 180
⇒ (x+24) + 5x = 180
x + 24 + 5x = 180
x + 5x + 24 = 180
6x + 24 = 180
6x = 180 - 24
6x = 156
x = 156/ 6
x = 26
Therefore,
m∠1 = 26 + 24
= 50
and m∠2 = 5(26)
= 130
Thus, the measure of the two angles is 50° and 130°
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Your question was incomplete. Check for the missing figure below.
Combine like terms
x - 5 + 3x (to the second power) + 2 IM BEGGING PLEASE I NEED HELP
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
a traffic study has shown that the probability that 55 cars will pass over a small bridge in a 4-4-minute period is 0.16.0.16. what are the odds against exactly 55 cars passing over the bridge in that time?
4:21 are the odds against exactly 55 cars passing over the bridge in that time.
What is Probability?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.Probability of 0.16, thus, for 100 trials, 16 successes and 84 failures, and the odd is:
16:84, which, simplifying by 4, is 4:21.
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#5 a. What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
b. When the minimum, 0, is removed from the data set, what is the five-number summary?
The five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
Median is defined as the center value of the data.
Part(a)
In the given question
the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
(i)the minimum of the data is 0
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.
(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.
Part (b)
after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11
(i)the minimum of the data is 2
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 2,2,4,5 is 3.
(v)Q₃ = median of the upper half 5,5,7,11 is 6.
Therefore , the five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
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Pls help me solve this question, also include step by step calculation ya. Thks
Giving brainliest to the best answer
[tex]\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}[/tex]
Step-by-step explanation:
[tex]5x^2-x^2e^{2x}+2e^{2x}=10[/tex]
[tex]Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}[/tex]
Prologarithmize both parts of the equation:
[tex]ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\x=\frac{ln5}{2}[/tex]
[tex]t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}[/tex]
find the midpoint of each line segment. WILL GIVE BRAINLIEST!!
one on right is 2,-2 and one on left is -1,1
the length l cm of a sheet of paper is 29.7 cm,corredt to the nearest millimetre complete this statement about the value of l
297 mm is nearest millimetre complete this statement .
The definition of convert units?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.An expression of how many of one unit are equal to another is known as a conversion factor. There are 12 inches in a foot, 1609 meters in a mile, 100 centimeters in a meter, 60 seconds in a minute, and so on.1 cm = 10mm
the length of a sheet of paper = 29.7 cm
the nearest millimetre = 29.7 * 10 = 297 mm
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Select the correct answer.
Simplify.
√96
A 24√4
B. 6√4
C 4√6
D. 16√6
Answer : C] 4√6
Thank you !
If mQOS, mPOR, and mPOQ, what is mROS?
Applying the angle addition postulate, the measure of angle ROS is: 16°
How to Apply the Angle Addition Postulate?Given the following angle measures:
m<QOS = 49°
m<POR = 56°
m<POQ = 23°
Find the measure of angle QOR:
m<QOR = m<POR - m<POQ [angle addition postulate]
Substitute the values into the equation
m<QOR = 56 - 23
m<QOR = 33°
Find the measure of angle ROS:
m<ROS = m<QOS - m<QOR [angle addition postulate]
Substitute the values into the equation
m<ROS = 49 - 33
m<ROS = 16°
Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°
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Match the imaginary solutions with the correct simplified forms:
Answer:
See the picture below.
Step-by-step explanation:
Answer:
[tex]\sqrt{-63}=3i\sqrt{7}[/tex]
[tex]\sqrt{-156}=2i\sqrt{39}[/tex]
[tex]6\sqrt{-12}=12i\sqrt{3}[/tex]
[tex]-5\sqrt{-75}=-25i\sqrt{3}[/tex]
Step-by-step explanation:
An imaginary number is a non-zero real number multiplied by the imaginary unit [tex]i[/tex].
[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Imaginary Number Rule}\end{center}\\\begin{center}$\sqrt{-1}=i$\end{center}\end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Radical Rule}\end{center}\\\begin{center}$\sqrt{a \cdot b}=\sqrt{a} \sqrt{b}$\end{center}\end{minipage}}[/tex]
[tex]\begin{aligned}\sqrt{-63} & = \sqrt{9 \cdot -1 \cdot 7}\\& = \sqrt{9}\sqrt{-1}\sqrt{7}\\& = 3i\sqrt{7}\end{aligned}[/tex]
[tex]\begin{aligned}\sqrt{-156} & = \sqrt{4 \cdot -1 \cdot -39}\\& = \sqrt{4} \sqrt{-1} \sqrt{39}\\& = 2i\sqrt{39}\end{aligned}[/tex]
[tex]\begin{aligned}6 \sqrt{-12} & = 6 \sqrt{4 \cdot -1 \cdot -3} \\& = 6 \sqrt{4} \sqrt{-1} \sqrt{3} \\& = 6 \cdot 2 i \sqrt{3} \\& = 12i \sqrt{3}\end{aligned}[/tex]
[tex]\begin{aligned}-5 \sqrt{-75} & = -5 \sqrt{25 \cdot -1 \cdot -3} \\& = -5 \sqrt{25} \sqrt{ -1 } \sqrt{3} \\& = -5 \cdot 5i \sqrt{3} \\& = -25i \sqrt{3}\end{aligned}[/tex]
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My question is what is 3+(-7)
Answer:
The answer is -4.
Step-by-step explanation:
Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.
Nylah and harper share £2700.harper gets twice as much money as nylah.
How much does hamper receive?
Give your answe in pounds (£)
Harper will receive £1800 as his own share of the total money
How to calculate the amount of harper that Nylah will receive ?Nylah and harper both share £2700
let x represent Nylah share
let 2x represent harper share
x + 2x= 2700
3x= 2700
divide both sides by the coefficient of x which is 3
3x/3= 2700/3
x= 900
Since harper share is 2x, let's substitute 900 for x
2(900)
= 1800
Hence harper share is £1800
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If 8 people consisting of 4 couples are randomly arranged in a row, find the probability that no person is next to their partner.
The Probability that no person is next to their partner is 104/105.
Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).
Permutations is defined as arrangement of elements/objects in a particular way.
According to the question ,
8 people can be arranged in 8! ways = 40320ways
First let us find the probability that person is next to their partner.
4 couples can be arranged in 4! ways
and the couple itself can be arranged in 2! ways
Since there are 4 couples ,
Number of arrangement = [tex]4!(2!)^{4}[/tex]
=24x16
=384 ways
Probability that person is next to their partner = [tex]\frac{384}{40320} =\frac{1}{105}[/tex]
and the probability that no person is next to their partner is [tex]1-\frac{1}{105} =\frac{104}{105}[/tex].
Therefore , the probability that no person is next to their partner is [tex]\frac{104}{105}[/tex].
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The Amari family installed an inground pool with the dimensions shown, what is the volume of the inground pool?
Answer:
23716 cubic feet
Step-by-step explanation:
7^2=49
11^2=121
2^2=4
49x121=5929
2929x4=23716