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Related Questions
Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line. How many solutions should Sudhanshu find?
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However, if the speeds are changing, then there could be multiple solutions.
Answer:
The lines would only cross ONCE. So the answer is ONE.
Step-by-step explanation:
If using a graphing calculator you will see that the lines are at different slopes and will soon cross at (5,20) on a graph. Which means that the second cars is also faster even though the first car had a head start.
Solve the equation (x-5)1/2+5=2
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((x-5) ^ (1/2)) + 5 = 2
Clearing x we have:
(x-5) ^ (1/2) = 2-5
(x-5) ^ (1/2) = -3
x-5 = root (-3)
x-5 = i * root (3)
x = 5 + i * root (3)
Answer:
The value of x is given by:
x = 5 + i * root (3)
(x - 5)1/2 + 5 - 5 = 2 - 5
(x - 5)1/2 = -3
1/2x - 2.5 = -3
1/2x - 2.5 + 2.5 = -3 + 2.5
1/2x = -1/2
(1/2x)/(1/2) = (-1/2)/(1/2)
x = -1 <-------------answer :)
Find the future value of $1800 deposited at 8% for 5 years if the account pays simple interest, and the account pays interest compounded annually.
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0.08(1800) + 1800
But because it is 5 years:
5(0.08(1800)) + 1800
0.4(1800) + 1800
We can make it simpler:
1.4(1800)
Multiply:
2520
YOU NOW HAVE $2520
Answer:
The answer is 2,644.79.
You would have to calculate the three variables to get and complete your answer.
Step-by-step explanation:
Find the area of a parallelogram....
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A = bh
Substituting the given values, you have
A = (3x +5)(7x -1)
We presume you want the product multiplied out. Use the distributive property for that.
A = 3x(7x -1) +5(7x -1)
A = 21x² -3x +35x -5
A = 21x² +32x -5
The area of the parallelogram is 21x² +32x -5.
What is the slope of this line?
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Well use the two points: (-2,0) , (0,-2)
Slope = (-2 - 0) / (0 - -2)
Slope = (-2) / (2)
Slope = -1
mary draws the number line below to repersent the solution set of the inequality 50-8t<90
what mistake did Mary make?
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50-90<8t
-40<8t
8t>-40
t>-5
Solutions should go to the right.
Mary probably was solving it as following
50-8t<90
-8t<90-50
-8t<40 (here, when she divided both sides by -8, she had to change sign < to the sign >)
But she did not change the sign, and got
t<-5
Enter the value of 5 times (13.5-4.5)
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Expansion is a means by which complex function are simplified. The value of the expression 5 times (13.5-4.5) is 45
Factorization and expansionExpansion is a means by which complex function are simplified by multiplying the expression with one another.
Given the expression:
5(13. 5 - 4.5)
According to the distributive property:
= 5(13. 5 - 4.5)
= 5(13.5) - 5(4.5)
= 67.5 - 22.5
= 45.0
Hence the value of the expression 5 times (13.5-4.5) is 45
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Please help me answer this question. Explain if possible.
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"The functions have the same rate of change" is wrong because as we can see, the table goes up by 10, however, the graph goes up by 15
"Both functions are the same" is also wrong, we already proved they have a different slope, how could they possibly be the same?
"The rate of change for Tour 1 is greater" is also wrong because tour 2 goes by 15, which is greater than 10.
"The functions have the same initial value is correct because as we can see on the graph(tour 2), the y-intercept is 35, using the slope on the tab;e(tour 1) we can calculate that when x is 0, the y-value is 35, which means both of the tours has a y-intercept of 35, therefore, this is the correct choice
Explanation: Alright let's do answer of elimination. It cannot be "Both functions are the same" Due to the fact that for one person in Tour 1 is 45 dollars while for Tour 2 is 50. It cannot be "The functions have the same initial value. Since for initial value it's kind of like a constant. For example for 1 person it would be 20 dollars for 2 it would be 40 and so on. It cannot be the last one since rate of change is obviously different. I don't think I have to go into that.
Also I see your doing an IReady Lesson
Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank for it to double? Round to nearest tenth of a year.
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where
[tex]A[/tex] is the final amount
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the time in years
We know that initial investment is $5,745, so [tex]P=5745[/tex]. We also know that Kristen wants his investment to double, so [tex]A=2*5745=11490[/tex]. Now, to convert the interest rate to decimal form, we are going to divide the rate by 100%: [tex]r= \frac{6.5}{100}=0.065 [/tex]. Since the interest is compounded monthly, it is compounded 12 times per year: therefore, [tex]n=12[/tex]. Now that we have all the information we need, lets replace the values in our formula and solve for [tex]t[/tex]:
[tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
[tex]11490=5745(1+ \frac{0.065}{12})^{12t} [/tex]
[tex] \frac{11490}{5745} =(1+ \frac{0.065}{12})^{12t}[/tex]
[tex]2=( \frac{2413}{2400} )^{12t}[/tex]
[tex]ln(2)=ln(\frac{2413}{2400} )^{12t}[/tex]
[tex]ln(2)=12tln(\frac{2413}{2400} )[/tex]
[tex] \frac{ln(2)}{12ln(\frac{2413}{2400} )} =t[/tex]
[tex]t=\frac{ln(2)}{12ln(\frac{2413}{2400} )}[/tex]
[tex]t=10.7[/tex]
We can conclude that she must leave the money for 10.7 years in the bank for it to double.
Can someone please help me with number 25
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Answer:
x² + 10x + 24 = (x + 4)(x + 6)
b = 4 or 6
A rectangular prism has a length of 5 meters, a width of 6 3/4 meters, and a height of 3 1/2 meters. What is the volume of the prism?
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5 x 6.75 = 33.75 33.75 x 3.5 = 118.125
Your answer is: V = 118.125 m³
Answer:
118.13
Step-by-step explanation:
6 3/4= 6.75
3 1/2 = 3.5
Which of the following shows of the slope of the line and one point on the line?
A. 6/5 and (-3, 1)
B. 5/6 and (1, -3)
C. 5/6 and (-3, 1)
D. -6/5 and (1, -3)
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This is the only answer choice with a negative slope, so we don't even need to look at the point really. Though if you wanted, you can confirm that the point (1,-3) is on the diagonal line. This point is shown in red in the attached image.
To find that the slope is -6/5, you pick two points on the diagonal line and use the slope formula. Two points you can use are (1,-3) and (-4,3).
The slope formula is m = (y2-y1)/(x2-x1)
Note: The negative slope is because we move downhill as we move from left to right along the diagonal line.
Originally priced at $15.99 was marked down 15% and then it was moved to a clearance rack marked take an additional 50% off the lowest marked price what is the final price of the PlayStation game
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Find f(x) if it is known that f(3k)=3k+7.
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Since f(3k) = 3k+7 (Equation 1)
We have to determine the value of f(x).
That is we have to replace 3k by x,
3k = x
Substituting the value of 3k in equation 1.
So, f(x) = x + 7
Therefore, f(x)=x+7 is the required function.
How do you find the product or quotient of powers with the same base?
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Quotient: When dividing terms that also contain coefficients, divide the coefficients and then divide variable powers with the same base by subtracting the exponents (exponents from the denominator from numerator)
Can I have some help with this question?
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-10+90x+6x-60
96x-70
so d is the answer
-10(1-9x)=90x-10
6(x-10)=6x-60
(90x-10)+(6x-60)=96x-70 (same thing as -70+96x)
So, the answer is D. -70+96x
Have a nice day! ♪
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he spend doing paperwork each day?
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[tex]8 \times 25\% \\ = 8 \times \dfrac{25}{100} \\ = 2[/tex]
Answer : He spends 2 hours doing paperwork each day.
Hope this helps. - M
How do you fully learn your times table and division
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•For the 0 everything is 0
•For the 1’s it’s always the same number ur multiplying it by so like 1x2 is just gonna be 2
1x3 is 3 and 1x578 is 578 simple as that.
•For your 2s times tables it’s literally just adding the same number twice so let’s say you have 2x7 which is the same thing as saying 7x2 all you have to do is just add the same number twice so it’s 7+7= 14 lets do another so 5x2 =10 so 5+5=10
•For your 3’s here’s a 2 minute video and it’s supper helpful
https://m.youtube.com/watch?v=ONl323NU0ws
•For the 4s times tables here a quick link https://m.youtube.com/watch?v=UOGuJRzYv0A
•For the 5s times tables it’s really easy not sure if you need help with that one
•For the 6s
https://m.youtube.com/watch?v=cMMa0iWAOdA
•For 7s
https://m.youtube.com/watch?v=hau8eYZV0t8
•For 8s
https://m.youtube.com/watch?v=-C-e33iVBTM
•For 9s
https://m.youtube.com/watch?v=puFOpCt1_DY
•For 10s all you have to do is do the same trick as for the 1s but put a zero behind the number so 10x7 is 70 and 10x8 is 80 and 10x9 is 90
There is only so many tricks you can learn so just study it a-little bit because multiplication is veryyyy important.
Multiplying is just adding the same number how ever many times
So let’s say you need to add the number 2 in 9 different times instead of saying 2+2+2+2+2+2+2+2+2=18 you can just simply say 2x9=18 simple Right?
If you need 12 and 11s times tables just let me know
Hope this helped, seems like a lot but trust me it’s not everyone knows them all. As you get older you start memorizing them better :)
vector works the same number of hours every week he worked a total of 532.5 and hours in the last 15 weeks. how many hrs did he work in one week
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this will give you the hours in one week
= 35.5
532.5/15 = 35.5
Vector worked 35.5 hours in one week.
A crane is rented at $1000 per day plus a charge per hour of use. The crane was used for 7 hours on a day, and the total charge was $3450. Which equation can be used to find the charge x, in dollars, per hour of use?
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I WILL MARK BRAINLIEST
The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mile.
Joan is going to pick up Gary and Kash for band practice at her house this afternoon. She is going to pick up Kash first, then Gary, and then go back home for practice. How many total miles will Joan travel while picking up her bandmates? Round your answer to the nearest mile.
A. 9 miles
B. 10 miles
C. 19 miles
D. 22 miles
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Answer: D
i think it is D
Step-by-step explanation:
What is the range of the following graph?
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Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long. Can he fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box?
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Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³
Answer: No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in,
No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in.
What is volume?Volume in math is the amount of three-dimensional space occupied by an object, substance, or closed surface. Volume can be measured by multiplying the length, width, and height of an object or by counting the number of unit cubes it contains.
Given that, Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long, we need to determine whether he can fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box,
For determining the same, we will find both volume and compare,
Volume of the large box = 4 x 3 x 5 = 60 ft³
Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³
Since, both the volumes are equal,
Therefore,
He cannot fit 65 smaller cubes into the large box, as he will be left with 5 boxes out of the box.
Hence, Diego can not put 65 boxes in the larger one.
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Find the area of the trapezoid to the nearest tenth.
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The area of the trapezoid would be 153. What I’d did was 1.3 added to 1.5 added to 0.6, multiplied by 45, and I got the answer of 153.
Add the two expressions. 4.6x−3 and −5.3x+9 Enter your answer, in simplified form, in the box. PLEASE ANSWER FAST THIS IS A BIG DEAL!!!
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[tex]4.6x - 3 + - 5.3x + 9\\ = (4.6x - 5.3x) + (-3 + 9)\\ = -0.7x + 6[/tex]
-----
Answer: -0.7x + 6
An expression is defined as a set of numbers, variables, and mathematical operations. The addition of the two given expressions (4.6x-3) and (-5.3x+9) is (-0.7x+6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The addition of the two given expressions (4.6x-3) and (-5.3x+9) is,
(4.6x-3) + (-5.3x+9)
= 4.6x - 3 - 5.3x + 9
= -0.7x + 6
Hence, The addition of the two given expressions (4.6x-3) and (-5.3x+9) is (-0.7x+6).
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What is the answer to part d. Thanks so much.
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Triangle BCD is similar to triangle ACE. If the triangles are isosceles, what is the length of AB?
F.) 16cm
G.) 11cm
H.) 40cm
J.) 35cm
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[tex] \frac{2.75}{22} = \frac{5}{ac} \\ ac = 5 \div ( \frac{2.75}{22} ) = 40 \\ ab = 40 - 5 = 35[/tex]
Correspondind sides, similar triangles
The big bend national park covers 800,000 acres. Brazos Bend state park covers about 5,000 acres. About how many more acres does Big Bend National Park cover then Brazos Bend state park?
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this but okay....
Big Bend National Park is larger by approximately 795,000 acres than Brazos Bend State Park. This figure was obtained by subtracting the area of the Brazos Bend State Park from the area of the Big Bend National Park.
Explanation:The Big Bend National Park and the Brazos Bend State Park have a substantial difference in size. You can calculate this size difference by performing a simple subtraction operation. In this case, the size of the Big Bend National Park is 800,000 acres, whereas Brazos Bend State Park covers about 5,000 acres. By subtracting the size of Brazos Bend State Park from the size of the Big Bend National Park, we will get about 795,000 acres, which represents the size difference.
So, the formula would appear as follows:
800,000 acres (Big Bend National Park) - 5,000 acres (Brazos Bend State Park) = 795,000 acres difference.
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Robin’s scores: 99, 108, 102, 107, 119 Evelyn’s scores: 125, 137, 138, 145, 145 Find and compare the medians of the data sets. Do the medians support your conclusion that Robin is winning the game?
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Robin's scores: 99, 102, 107, 108, 119. Median is 107.
Evelyn's scores: 125, 137, 138, 145, 145. Median is 138.
The median from Evelyn's scores is greater than the median from Robin's. Therefore, the medians do NOT support the conclusion that Robin is winning the game.
Answer:
The median score for Robin is 107. The Median Score of Evelyn is 138. The medians are the same as the means, so the same conclusion that Robin is winning will be drawn.
Step-by-step explanation:
Subtract the quotient of 18 and 2 from sum of 22 and 9
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18/2 = 9
22 + 9 = 31
31 - 9 = 22