Answers
Answer:
So the Conclusion is that 4000 km/h is the constant speed.
Step-by-step explanation:
Given:
Time (hrs) | Distance (km)
0.5 | 2000
1 | 4000
1.5 | 6000
To Find:
Constant Speed:
Solution:
We know ,
[tex]Speed =\frac{Distance}{Time}[/tex]
For the first case we have
[tex]Speed=\frac{2000}{0.5} =4000\ km/h[/tex]
For the second case we have
[tex]Speed=\frac{4000}{1} =4000\ km/h[/tex]
For the third case we have
[tex]Speed=\frac{6000}{1.5} =4000\ km/h[/tex]
So the Conclusion is that 4000 km/h is the constant speed
Related Questions
there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter. to the nearest inch, how many meters are in 511 inches
Answers
12.9794 meters or 13 meters (rounded)
You can find out this answer by looking at the 2 formulas given. Then set up a ratio and cross multiply to get your answer.
Hope this helped! (Please mark me brainliest!)
Answer:
12.9794 meters or 13 meters (rounded)
Step-by-step explanation:
You can find out this answer by looking at the 2 formulas given. Then set up a ratio and cross multiply to get your answer.
What is the vertex for the graph shown below?
Answers
Answer:
(5,1)
Step-by-step explanation:
A vertex is where two or more curves, lines, or edges meet
The height ,h, in feet of a baseball that is popped up into the air is a quadratic function of the time,t, in seconds, since it was hit. An equation that may model this situation is h(t)=4+60t-16t^2. Answers the following questions accurately, rounding to two decimals places when needed. How high is the ball when it strikes the bat?
Answers
Answer: [tex]4\ feet[/tex]
Step-by-step explanation:
The exercise provides you the following Quadratic function:
[tex]h(t)=4+60t-16t^2[/tex]
Then, based on the information given in the exercise, you can conclude that, when the ball strikes the bat, the time in seconds is the following:
[tex]t=0[/tex]
Therefore, in order to calculate the height in feet of the ball when it strikes the bat, you need to subsititute [tex]t=0[/tex] into the function and then evaluate.
Then, you get this result:
[tex]h(0)=4+60(0)-16(0)^2\\\\h(0)=4+0-0\\\\h(0)=4[/tex]
Two transformation are performed on a figure in the coordinates plane. The first transformation is a translation 8 units to the left. Which Sedona transformation will result in a image that is similar to, but not congruent to, the original figure?
A. A clockwise rotation of 90 degrees about the center
B. A clockwise rotation of 180 degrees about the center
C. A dilation by a scale factor of 1 with the origin as the center of a dilation
D. A dilation by a scale factor of 1/2 with the origin as the center of dilation
Answers
Answer:
Only option D is correct as a dilation by a scale factor of 1/2 with the origin as the center of dilation would transform the object which would still be similar to the original figure, but it would no longer be congruent to the original figure due to reduction in size due to a dilation by a scale factor of 1/2.
Step-by-step explanation:
When we transform a certain shape, we normally associate the original shape as 'object', while the transformed shape is associated as "image',
If any shape like triangle, parallelogram or any other certain quadrilateral is rotated, reflected or translated, it wold preserve the same size. Hence, the resulting transformed image would be similar and also called 'congruent' to the original object.
But, if any shape like triangle, parallelogram or any other certain quadrilateral is enlarged or resized, it would certainly change in size. Therefore, the resulting transformed image would still be considered as similar, but it would no longer congruent to the original object.
Hence, when two transformation are performed on a figure in the coordinates plane. The first transformation is a translation 8 units to the left. A dilation by a scale factor of 1/2 with the origin as the center of dilation would transform the object which would still be similar to the original figure, but it would no longer be congruent to the original figure due to reduction in size due to a dilation by a scale factor of 1/2.
In all other cases, like a clockwise rotation of 90 degrees about the center, A clockwise rotation of 180 degrees about the center and a dilation by a scale factor of 1 with the origin as the center of a dilation would not not alter the size of the shape, and the resulting transformed image would be similar as well as called 'congruent' to the original object.
Hence, only option D is correct as a dilation by a scale factor of 1/2 with the origin as the center of dilation would transform the object which would still be similar to the original figure, but it would no longer be congruent to the original figure due to reduction in size due to a dilation by a scale factor of 1/2.
Therefore, only option D is correct.
Keywords: dilation, transformation
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The Sedona transformation that will result in an image that is similar to, but not congruent to the original figure is D. A dilation by a scale factor of 1/2 with the origin as the center of dilation.
How to get an image that is similar but not congruent to the original figure?To get an image that is similar but not congruent to the original figure, we shall perform a transformation that changes the size of the figure while keeping the same shape.
This is because when a figure is translated 8 units to the left, its position changes, but its size and shape remain the same.
A dilation by a scale factor of 1/2 with the origin as the center of dilation means the image would be reduced to half of its original size while maintaining the same shape.
This transformation results in a figure that is similar but not congruent to the original figure, as it has the same shape but a different size.
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Richard, Henry and Gavin share some sweets in the ratio 5:4:3. Richard gets 70 sweets. How many sweets are there altogether?
Answers
There are 168 sweets altogether
Solution:Richard, Henry and Gavin share some sweets in the ratio 5 : 4 : 3
Let "5a" be the share of Richard
Let "4a" be the share of Henry
Let "3a" be the share of Gavin
Richard gets 70 sweets
share of Richard = 70
5a = 70
a = 14To find: number of sweets altogether
number of sweets altogether = share of richard + share of henry + share of gavin
number of sweets altogether = 5a + 4a + 3a
number of sweets altogether = 12a = 12(14) = 168
Thus there are 168 sweets altogether
Thomas is starting a new company. He has two quotes from a computer company for the cost of computers and printers. If he buys three computers and one printer, the cost is $825. if he buys 4 computers and 2 printers, the cost is $1200. How much does each computer and printer cost?
Answers
Answer:
Cost of each Computer is $225 and Cost of each Printer is $150.
Step-by-step explanation:
Let the cost of the Computers be 'x'.
Let the cost of Printer be 'y'.
Given:
If he buys three computers and one printer, the cost is $825.
framing in equation form we get;
[tex]3x+y =825 \ \ \ \ \ equation\ 1[/tex]
Also Given:
if he buys 4 computers and 2 printers, the cost is $1200.
framing in equation form we get;
[tex]4x+2y =1200 \ \ \ \ \ equation\ 2[/tex]
Now Multiplying equation 1 by 2 we get;
[tex]2(3x+y)=825\times 2\\\\6x+2y=1650 \ \ \ \ \ equation\ 3[/tex]
Now Subtracting equation 2 from equation 3 we get;
[tex](6x+2y)- (4x+2y) = 1650-1200\\\\6x+2y-4x-2y = 450\\\\2x=450\\\\x=\frac{450}{2} =\$225[/tex]
Now Substituting the value of x in equation 1 we get;
[tex]3x+y=825\\\\3\times 225+y=825\\\\675+y =825\\\\y = 825 -675\\\\y = \$150[/tex]
Hence Cost of each Computer is $225 and Cost of each Printer is $150.
Answer:
Cost of each Computer is $225 and Cost of each Printer is $150.
The domain of y=sqrt x-5-1 is
Answers
Answer:
The domain is the interval [5,∞)
Step-by-step explanation:
we have
[tex]y = \sqrt{x-5}-1[/tex]
we know that
The radicand (number under a radical) must be greater than or equal to zero
so
[tex]x-5\geq 0[/tex]
solve for x
Adds 5 both sides
[tex]x-5+5\geq 0+5[/tex]
[tex]x\geq 5[/tex]
therefore
The domain is the interval [5,∞)
All real numbers greater than or equal to 5
Answer:
x >= 5
Step-by-step explanation:
Edge 2021
Solve the linear system of equations using the linear combination method
4x +5y=7
y=3x+9
Enter your answers in the boxes.
x=
y=
Answers
Answer:
x = -2
y = 3
Step-by-step explanation:
Write the system the following way:
4x + 5y = 7
-3x +y = 9
we need to eliminate one unknown by multiplying one equation for a suitable number in such a way that when we add the equations one unknown is eliminated.
If we multiply the second eq. by -5 the y is eliminated
4x + 5y = 7
15x -5y = -45
add the equations
19x = -38 ===> x = -38/19 ===> x = -2
Now replace this value in any equation to get y. For example, in 1st one.
4(-2) + 5y = 7 ===> -8 +5y = 7 ===> 5y = 7+8 ===> 5y = 15 ===> y = 15/5 ===>
y=3
If tan 0=11/60, what is the value of cot 0?
Answers
Answer:
Step-by-step explanation:
tan 0 = 1/ cot 0
so, tan 0=11/60,
cot 0= 1/ (11/60)
cot 0= 60/ 11
a number machine uses a rule to charge input numbers into output numbers. this number machine charged 4 into 16, 5 into 20, and 6 into 24. what number will 7 be cgarged into?
Answers
Answer:
28
Step-by-step explanation:
The function that we have in this is f(x) = 4x. We can see this in 4 * 4 = 16, 5 * 4 = 20 and 6 * 4 = 24. Therefore, following the pattern, 7 * 4 = 28.
Solve.
Cars
In the school parking lot there were 113 fewer bikes
than cars. There were 185 cars. How many cars and
bikes were in the parking lot?
Bikes
185 - 113
185
(about 190 -
Round to the nearest ten to estimate. Then
complete the chart.
(about 190)
or
-
--
= X
X=
cars and bikes.
Estimate: There were about
Actual:
- -
= X
X
=
1
Solution: There were
cars and bikes in all.
Answers
Answer:
Total bikes and cars are 260
Step-by-step explanation:
Cars: [tex]n_{cars}185[/tex]
Bikes: [tex]n_{bikes}=n_{cars}-113=72[/tex]
Total: [tex]n_{total}=n_{bikes}+n_{cars}=257[/tex]
Rounding to the nearest ten: 260
A drill team is raising money by holding a car wash. The team earns $6.00 for each car washed. The team's expenses include $50.00 for advertising plus $0.50 in materials for each car washed. Let f(x) represent the team's total earning for washing x cars and g(x) represent the team's total expenses for washing x cars. Describe how you can use f(x) and g(x) to obtain a function p(x) that gives the team's profit for washing x cars. Then write a rule for p(x)
Answers
The function p(x) is obtained by subtracting g(x) from f(x)
The rule of p(x) is p(x) = 5.5 x - 50
Step-by-step explanation:
A drill team is raising money by holding a car wash
The team earns $6.00 for each car washedThe team's expenses include $50.00 for advertising plus $0.50 in materials for each car washedf(x) represent the team's total earning for washing x carsg(x) represent the team's total expenses for washing x carsp(x) that gives the team's profit for washing x carsWe need to describe how can you use f(x) and g(x) to obtain a function p(x) that gives the team's profit for washing x cars, and then write a rule for p(x)
∵ The team earns $6.00 for each car washed
∵ f(x) represent the team's total earning for washing x cars
- Equate f(x) by the product of x and 6
∴ f(x) = 6 x
∵ The team's expenses include $50.00 for advertising plus $0.50
in materials for each car washed
∵ g(x) represent the team's total expenses for washing x cars
- Equate g(x) by the sum of 50 and the product of 0.5 and x
∴ g(x) = 50 + 0.5 x
The profit = total earning - total expenses
∵ f(x) is the total earning for washing x cars
∵ g(x) is the total expenses for washing x cars
∵ p(x) represents the team's profit for washing x cars
- Subtract g(x) from f(x) and equate the difference by p(x)
∴ p(x) = f(x) - g(x)
The function p(x) is obtained by subtracting g(x) from f(x)
∵ f(x) = 6 x
∵ g(x) = 50 + 0.5 x
∴ p(x) = 6 x - (50 + 0.5 x)
- Simplify the right hand side
∴ p(x) = 6 x - 50 - 0.5 x
- Add the like term
∴ p(x) = 5.5 x - 50
The rule of p(x) is p(x) = 5.5 x - 50
Learn more:
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Given the system of inequalities, list all the points that are included in the solution to this system of inequalities:
[tex]x + y > 4[/tex]
[tex] - 2x + y < 3[/tex]
Answers
Answer:
B, C
Step-by-step explanation:
The solution space is the area to the right of the X where the lines cross. Only points B and C are in that space. Point E is on the line, but the line is not included in the solution space.
_____
The lines are drawn as though the inequality were an equation. The solution space is above the first line (which has negative slope) because y > ... indicates the solution is values of y above (>) the line.
The solution space is below the second line, which has positive slope, because y < ... indicates the solution is values of y below (<) the line.
Let $x=(0.\overline{6})(0.\overline{60})$. When $x$ is written out as a decimal, what is the sum of the first $15$ digits after the decimal point?
Answers
Answer:
32
Step-by-step explanation:
The sum of the first $15$ digits is 32.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let $x = 0.666666.....
$x = = 6/9 = 2/3
And .606060..... = 60/99
⇒(2/3) (60/99)
⇒ (2/99)(60/3)
⇒(2/99)(20)
⇒ 40/99
⇒ .040404.........
So, the sum of the first 15 digits = 8(4) + 7(0) + 0 = 32
Learn more about Arithmetic operations
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standard form of x^2 + 16x + 71
Answers
Answer:
It's (-8,7) I believe, I hope this helps!
Step-by-step explanation:
15-3 as a numerical expression
Answers
Answer:
12
Step-by-step explanation:
simplify: 15 + -3
combine: 15 + -3 = 12
The numerical expression 15-3 is equal to 12.
Explanation:A numerical expression is a mathematical phrase containing only numbers and operational symbols (such as +, -, *, /) without any variables. It represents a specific value when the numbers are replaced with actual values. For example, "3 + 5 * 2" is a numerical expression that evaluates to 13.
The numerical expression 15-3 can be solved by subtracting 3 from 15. You can start with the number 15 and subtract 3 to get the result.
15 - 3 = 12
So, the numerical expression 15-3 is equal to 12.
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how can i solve thus problem help me
Answers
Answer:
Position from point A= 383.33 meters
Step-by-step explanation:
A concept to know is that the integral of velocity will give you the distance traveled.
[tex]d=\int\limits^{t_1}_{t_0}{v(t)} \, dt[/tex]
where the interval of integration are the starting time and ending time.
I let the starting time be t₀ = 0, and the ending time t₁=10 for the 10 seconds that it traveled.
I did the integration and got 383.33m traveled in 10 seconds.
So the answer is 383.33 meters.
Ignore the final answer in the image. I misread the question.
MP2 Reasoning Joel is 23 inches
shorter than Carlos Carlos is 12 inches
taller than Dan. If Dan is 587 inches ta
how many inches tall is Joel?
Answers
Answer: 576 inches
Step-by-step explanation:
Carlos’ height :587+12=599
Joel’s height: 599-23=576
:)
Answer:
Step-by-step explanation:
Height of Dan = 587 inches
Height of Carlos = 587 + 12 = 599 inches
Height of Joel = 599 - 23 = 576 inches
What percent of time does marissa spend playing basketball ? Show or explain how you got your answer?
Walking 45percent
Jogging 15 percent
Swimming 10 percent
Bowling 10 percent
Answers
Answer:
20% of the time
Step-by-step explanation:
Marissa spends 20% of the time playing basketball. I figured this out my subtracting all of the other sports from 100% , (the whole), to get 20%.
Hope this helps :)
If there is 1000$ in the lockbox what year will it be worth 64,000$ at 24% interest?
Answers
Hey there!
First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:
y = 1000(1.24)^x
Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.
Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.
They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.
Dan pays £220 per week in rent.
His landlord decides to increase the rent by 2.5%.
How much rent does he pay now? who ever is the first person wins iPhone x
Answers
Answer:
225.5
Step-by-step explanation:
220 + (2.5% × 220) =
220 + 2.5% × 220 =
(1 + 2.5%) × 220 =
(100% + 2.5%) × 220 =
102.5% × 220 =
102.5 ÷ 100 × 220 =
102.5 × 220 ÷ 100 =
22,550 ÷ 100 =
225.5
Answer:
225.5
Step-by-step explanation:
So, you would start by doing
220 times 2.5% that would equal 5.5
Then you would add
220 + 5.5 = 225.5
Therefore your answer will be 225.5
Dad bought $200,000 of term life insurance at the rate of $5.40 per thousand-dollar unit. How much is the annual premium?
Answers
Answer:
It is clear that the annual premium = $1080
Explanation:
Given:
As the total term amount for life insurance is given in the question which is $200,000
rate per $1000 unit = $5.40
Simple Calculation Procedure to get the annual premium:
First step:
Let’s assume $1000 is one unit and the mentioned rate per $1000 unit is $5.40. Now, all you need is to find total number of $1000 units in total term insurance amount ($200,000).
So,
divide $200,000 by $1000 to establish the total number of
1000 units in $200,000 = $200,000/$1000 = 200
Second step:
As 200 is found to be the total number of $1000 units in $200,000.
So, just multiply 200 with $5.40 to ultimately find the annual premium
i.e. $5.40 × 200 = $1080
Hence, it is clear that the annual premium = $1080
Keywords: life insurance, annual premium, premium term rate
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How many birthdays will you have celebrated when you are one million minutes old
Answers
Answer: about 1
Step-by-step explanation:
Bc 1 mil minutes are 1.902 of a year
I need help please and thank you
Answers
Answer:
15
Step-by-step explanation:
n is the number of people and k the number of chairs
here n = 6 and k = 4
note n! = n(n - 1)(n - 2).... × 3 × 2 × 1, thus
[tex]\frac{6!}{4!(6 -4)!}[/tex]
= [tex]\frac{6(5)(4)(3)(2)(1)}{4!(2!)}[/tex]
= [tex]\frac{720}{4(3)(2)(1)2(1)}[/tex]
= [tex]\frac{720}{24(2)}[/tex]
= [tex]\frac{720}{48}[/tex]
= 15
Which of the following shows the expression −3t2−2t(4s−9t)+7st in simplest form
Answers
Answer:
15t^2-ts
Step-by-step explanation:
-3t^2-2t(4s-9t)+7ts
-3t^2-8ts+18t^2+7ts
-3t^2+18t^2-8ts+7ts
15t^2-ts
The expression −3t^2−2t(4s−9t)+7st can be simplified to 15t^2-st.
Explanation:This expression is a quadratic equation in the form of −3t^2−2t(4s−9t)+7st. To simplify, we can start by distributing the -2t across the terms inside the parentheses:
−3t^2−8st+18t^2+7st
Combining like terms, we get:
15t^2-st
So, the expression −3t^2−2t(4s−9t)+7st in simplest form is 15t^2-st.
Which terms complete the factorization of x2+27x+162
represented by the model?
27, 9x, 18%
9, 9x, 18x
27, 9x, 27x
9, 9x, 27x
Answers
Answer:
B. 9, 9x, 18x
Step-by-step explanation:
The value in each box is the product of the row heading and column heading. You can find the missing column heading by dividing the box value (162) by the row heading (18).
The correct terms are 9, 9x, and 18x. Hence, option B is correct.
To factorize the quadratic expression x² + 27x + 162, we need to find two numbers that multiply to 162 (the constant term) and add up to 27 (the coefficient of x). These numbers are 9 and 18.
Identify the constant term (162) and the coefficient of the linear term (27).
Find two numbers that multiply to 162 and add to 27. These numbers are 9 and 18.
Rewrite the middle term using these numbers: x² + 9x + 18x + 162.
Factor by grouping: (x² + 9x) + (18x + 162).
Factor out the greatest common factor from each group: x(x + 9) + 18(x + 9).
Factor out the common binomial factor: (x + 9)(x + 18).
Therefore, the factorization of x² + 27x + 162 is (x + 9)(x + 18).
Based on this factorization, the correct terms from the choices provided are (B) 9, 9x, and 18x.
CD has endpoints C(6,-8) and D(-4,10) on a coordinate plane. What are the coordinates of the midpoint CD
Answers
Final answer:
The midpoint of the line segment with endpoints C(6,-8) and D(-4,10) is calculated to be at (1, 1) by averaging the x and y coordinates of the endpoints.
Explanation:
The midpoint of a line segment with endpoints C(6,-8) and D(-4,10) can be found by averaging the x-coordinates and the y-coordinates of the two endpoints. To do this, add together the x-coordinates, 6 and -4, and divide by 2 to find the x-coordinate of the midpoint. Add together the y-coordinates, -8 and 10, and divide by 2 to find the y-coordinate of the midpoint.
The calculations are as follows:
x-coordinate: (6 + (-4)) / 2 = 1
y-coordinate: (-8 + 10) / 2 = 1
Therefore, the midpoint of CD is (1, 1).
Please help me. I will mark you brainliest if you get it right.
Answers
Answer:
The salesperson will earn total commission of $ 445 .
Step-by-step explanation:
The salesperson gets 5% commission for first $2500, and 8% for above that.
So, for sale of $ 6500, the salesperson will earn commission,
$ [tex](2500 \times \frac {5}{100} + (6500 - 2500) \times \frac {8}{100})[/tex]
= $ [tex](125 + (4000) \times \frac {8}{100})[/tex]
= $ (125 + 320)
= $ 445
BRAINLEST AND POINTS PLEASE THANK U.
Answers
Answer:
P'(7, - 8 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x + 4, y - 3 )
This means add 4 to the original x- coordinate and subtract 3 from the original y- coordinate, thus
P(3, - 5 ) → P'(3 + 4, - 5 - 3 ) → P'(7, - 8 )
If x+y=1/x+1/y and x+y≠0, what is the value of xy?
Answers
Answer:
xy = 1
Step-by-step explanation:
Given
[tex]x+y=\dfrac{1}{x}+\dfrac{1}{y}\\ \\x+y\neq 0[/tex]
Simplify the first expression:
[tex]x+y=\dfrac{1}{x}+\dfrac{1}{y}\\ \\x+y=\dfrac{y+x}{xy}\ [\text{Add fractions in the left side}]\\ \\1=\dfrac{1}{xy}\ [\text{Divide by }x+y \ (\text{it can be done since})\ x+y\neq 0]\\ \\xy=1\ [\text{Cross multiply}][/tex]