Please help ASAP
April runs at a rate of 25 feet per second for 11 seconds. Determine how far she
traveled and select the appropriate units to describe it.
She traveled ___________
Isaac drove on the interstate for 3 hours and traveled a total of 165 miles.
Determine his rate of travel and select the appropriate units to describe it.
He traveled ___________
Answers
Answer:
1. distance = 275 ft
2. rate = 55 miles/hour
Step-by-step explanation:
April travels at the rate of 25 ft per seconds and the time she spent traveling is 11 seconds. How far she traveled is the distance she covered. The rate or the speed unit is given as ft per seconds. Therefore, the distance covered can be expressed as follows.
rate = distance/time
where
rate = 25 ft/sec
time = 11 secs
rate = distance/time
25 = distance/11
cross multiply
distance = 25 × 11
distance = 275 ft
Isaac drove for 3 hours and he covered a distance of 165 miles. The rate of travel can be expressed as follows
rate = distance/time
distance = 165 miles
time = 3 hours
rate = 165/3
rate = 55 miles/hour
Related Questions
What’s the 6th term of 23,92,368
Answers
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
find the slope (4,19) and (6,10)
Answers
We have the following equation to find the slope of a line given two points:
\(m=\frac{y_2-y_1}{x_2-x_1}\)In this case, we have the following:
\(\begin{gathered} (x_1,y_1)=(4,19) \\ (x_2,y_2)=(6,10) \\ \Rightarrow m=\frac{10-19}{6-4}=\frac{-9}{2}=-\frac{9}{2m} \\ \Rightarrow m=-\frac{9}{2} \end{gathered}\)therefore, the slope is m = -9/2
I will mark you brainliest please help
Answers
Answer:
2
Step-by-step explanation:
Cancel w^12
6/3
=2
Pythagorean Theorem with an Unknown Leg
Answers
Answer:
b = √45
Step-by-step explanation:
As mentioned in the picture :
a² + b² = c²
a=2 , c = 7 (as it is opposite the right angle)
Now we substitute these values :
2² + b² = 7²
4 + b² = 49
Subtract 4 from both sides :
b² = 45
Square root both sides :
b = √45
Hope this helped and have a good day
Answer:
It's got to be either 45 or 6.7
pretty sure that it's 45
Step-by-step explanation:
algorithm: a^2 + b^2 = c^2
substitute: 2^2 + b^2 = 7^2
4+ b^2 =49
4-4 + b^2 = 49-4
49-4=45
b^2=45
Please give me brainliest if this is correct!!!!!
Have a great day and God bless!!!!
Write the equation of a line in standard form that has a slope of 4 and has the same x-intercept as the line 3x+y=18
PLSSS HELP URGENT SOS
Answers
The slope is 4 and x-intercept as the line 3x+y=18 the, the equation is 3x - 4y + 12 = 0.
What is slope and equation?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).Given :
Slope = 4 ; equation, 3x + y = 18.
y = -3x + 18
Slope = -3
x/a + y/b = 1
x/4 + y/-3 = 1
-3x + 4y = -12
3x - 4y + 12 = 0
Hence, the slope is 4 and x-intercept as the line 3x+y=18 the, the equation is 3x - 4y + 12 = 0.
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Find the inverse of each of the given functions.
Answers
Answer:
His father was the first time I have been a lot of talk about
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 9% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimals)? %
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period (to 2 decimals)? %
Answers
answer-
577468-64753=57623546
HELP ME PLEASE!!! I HAVE CLASS TODAY AND THIS IS DUE!!!! WORTH 30 POINTS!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!
VIEW ATTACHMENT BELOW:
Answers
The four rectangles can be painted with 7 different paints in 840 ways.
What is permutation?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.
The formula for permutattion is;
\(P_r_n = \frac{n!}{(n-r)!} \\\)
where r = 4
n = 7
Substituting the values for n and r
\(P = \frac{7!}{(7-4)!}\)
\(P = \frac{7!}{3!}\)
P = 840 ways.
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4. A bus drives 1 mile west and 4 miles north. Sketch the path of the bus and find the straight line distance and angle from the bus's location to its starting point. (Hint: Use Tan¹ to find the angle whose Tangent is 4/1)
Answers
The distance of the straight line is √17 miles and the angle formed is
75.96°.
We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A bus drives 1 mile west and 4 miles north.
Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.
So, By Pythagoras' theorem,
The straight line distance = √(1² + 4²).
= √(1 + 16) miles.
= √17 miles.
Now, We know tan = opposite/adjacent.
tan = 4/1.
tan⁻¹(4/1) = Ф.
Ф = 75.96°.
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The solution to a system of two linear equations is x = 3; y = 9.
How could the intersection of the graphs of the two equations be located on a coordinate grid?
What does the solution to a system of two linear equations mean on the graph?
Can you have more than one solution to a Linear system of equations?
Can you have exactly two solutions to a Linear system of equations?
Can you have no solutions to a Linear system of equations?
:: From the origin, move 3 units up and 9 units right
:: The point where the lines cross the y-axis
:: The point that the two lines DO NOT have in common
=
:: No, because lines are straight
POSSIBLE POINTS: 13.0-
From the origin, move 3 units right and 9 units up
::The point of intersection of the two lines
Yes, if both lines are the same exact line :: Yes, if the lines are parallel
:: Yes, because the lines could cross each other twice
Answers
The lines intercept at the point (3, 9), and:
A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.
How could the intersection of the graphs of the two equations be located on a coordinate grid?If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.
Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.
Can you have more than one solution to a Linear system of equations?
Yes, you can have:
no solution.
one solution
infinite solutions.
These are the 3 options.
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solve by elimination 9x+y=-26 5x+4y=-22
Answers
Answer: 5x-4y=11,3x+8y=4
Step-by-step explanation:
Answer:
x= - 82/31
y= -68/31
Step-by-step explanation:
9x + y = -26 (Equation 1)
5x +4y = -22 (Equation 2)
Multiply equation 1 by the coefficient of y in equation (2) and equation 1 by the coefficient of y in equation (1)
36x + 4y = -104
- 5x + 4y = -22
___________
31x = -82
x = - 82/31
To get the y value,
Multiply equation 1 by the coefficient of x in equation 2 and equation 2 by the coefficient of x in equation 1
\(\frac-{82}{31}\)9x + y = -26 (x5)
5x + 4y =-22 (x9)
45x +5y = -130
- 45x + 36y = -198
______________
-31y=68
y= - 68/31
express the sum 20+2.10²+1/2+1/2²+1/2³ as a decimal
Answers
Answer:
Step-by-step explanation:
20 + 2 * 10 square + 1/2 + 1/4 +1/8
20 + 2*100 + ( lcm of 2,4,8)
20+200+ 4+2+1/8
220 + 7/8
1760 + 7/8
1767/8
= 220.875
can you please help me with this question?
Answers
Answer:
I have made it in above picture
hope it helps
180 - 28 = x
DEF
180 - 25 - 20
b is opposite _____?
Answers
Answer:
Line AC, or choice (C)
Step-by-step explanation:
The opposite is always what is directly on the other side of a line if you were to draw one.
The opposite of ∠B is Line AC
The opposite of ∠C is Line AB
The opposite of ∠A is Line BC
~
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Answers
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answers
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
2c-10<3c-9 solve the following inequality
Answers
Answer:
\(c > -1\)
Step-by-step explanation:
\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)
Help me please !! Please
Answers
Answer:
i believe the last one is right.
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
The diagonal of the square is 10 cm. The length of the sides in cm is:
A. 5
B. 5sqrt2
C. 10sqrt2
D. 20
E. 100
*sqrt = square root I can't put the icon in
Answers
The length of a square with diagonal of 10 cm is 5√2 cm.
How to find the length of a square?Each angle in a square is 90 degrees.
Therefore, the diagonal form a right triangle with the length of the square.
The length of the square are equal.
Hence, using Pythagoras theorem,
let
x = length of square
x² + x² = 10²
2x² = 100
x² = 50
x = √50
x = 5√2
Therefore, the length of a square with diagonal of 10 cm is 5√2 cm.
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Solve the equation. -5(-4+2n)=-10(n-2)
Answers
Answer:
0 = 0 means that there are infinite solutions.
Step-by-step explanation:
Equation is -5(-4+2n)=-10(n-2)
1. Distribute the -5 and -10
20 -10n = -10n + 20
2. Subtract 20 from one side to the other to get only 1 variable on 1 side.
-10n = -10n
3. divide -10 to separate the variable from the constant.
n = n
This means there are infinite solutions.
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Answers
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
Answers
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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8x18divided by (16divide8x3)
Answers
Answer:
It might be 96. I don't know
Step-by-step explanation:
help plz u dont need to answer it all
Answers
Answer:
3a. 7
3b. 76
3c. 20 questions correct
3d. red, yellow, green, blue
Step-by-step explanation:
hope this helps :)
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answers
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
7/10 times 7/21 help pls and simplified
Answers
Answer:
7/30
Step-by-step explanation:
7 goes into 21 3 times
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
Answers
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360