Answer:
Step-by-step explanation:
30 minutes
Step-by-step explanation:
that problem description is imprecise.
I think what is meant here : they each keep jogging at their own same speed.
Diane’s speed is 1/3 miles / 10 min.
Jack’s speed is 2/3 miles / 10 min.
now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.
60/10 = 6.
so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.
Diane : (1/3 × 6) / hour = 2 miles / hour
Jack : (2/3 × 6) / hour = 4 miles / hour
since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).
Diane running 1 mile going 2 miles/hour takes her 30 minutes.
Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.
so, they will meet at his starting point after 30 minutes.
Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. Given that each three-letter three-digit arrangement is equally likely, what is the probability that a ran- domly chosen license plate contains at least one palindrome (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left)?
Answer:
Step-by-step explanation:
There are 26 letters, so there are 26
3
possible 3-letter sequences.
the number of these which are palindromes can be computed as follows:
26 choices for the first letter
26 choices for the second letter
1 choice for the third letter ( it has to agree with the first)
number of ways =26
2
Probability of a letter palindrome =26
2
/26
3
=1/26
there are 10 digits, so there are 10
3
sequences of digits.
Reasoning as above, the number of digit-palindromes is (10)(10)(1)=10
2
so the probability of a digit-palindrome is 10
2
/10
3
=1/10
The events
D - digit palindrome
L - letter palindrome
are independent but not mutually exclusive.
So, P(LorD)=P(L)+P(D)−P(LandD)
P(LorD)=P(L)+P(D)−P(L)P(D)
=1/26+1/10−(1/26)(1/10)
=10/260+26/260−1/260
=35/360=7/52
PLS HELPPPP MEEEEE EASY POINTS
Reflecting over y=x maps (x,y) onto (y,x).
So, the answer is A. (-8, 3).
Answer:
Step-by-step explanation:
what is the value of x and y
Answer:
x = 15° , y = 125°
I hope this helps u
¿Cual es el volumen del cilindro si su area lateral es 55,8cm2?
Based on the lateral area of the cylinder, the volume of the cylinder can be calculated to be 139.5 cm³.
What is the volume of the cylinder?When given the lateral surface area of a cylinder, you can find the volume as:
= Area of lateral surface x (radius / 2)
Solving gives:
= 55.8 x (5 / 2)
= 55.8 x 2.5
= 139.5 cm³.
Missing part of the question:
Radius of the cylinder is 5cm.
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Question 9(Multiple Choice Worth 5 points)
(05.02 LC)
Which of the following possibilities will form a triangle?
O Side 15 cm, side = 6 cm, side = 8 cm
=
O Side 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm
Answer:
D. 16, 9, 8
Step-by-step explanation:
sum of any two sides of triangles must be greater than the third side
only the fourth option follows this rule
please help
are these functions or not?
Answer:
1. Function
2. Not a function
3. Function
4. Not a function
Step-by-step explanation:
A function just means that for each input it outputs only 1 output. This output isn't necessarily unique. So for example if you're just given: f(2) = 3 and f(1) = 3, this is a function since each input only outputs 1 value, even though the output isn't unique, but if you're given: f(3) = 2, f(2) = 1, f(3) = 3. that's not a function since f(3) outputs both 2 and 3.
Anyways now that you hopefully understand this, let's look at each image.
Relation 1: (Function)
So for each input (the domain) it's only pointing to one output (range), even if multiple input (the domain) are pointing to the same output (the range), it's still a function.
Relation 2: (Not a function)
This is not a function, since if you look at the input 7 (the range), you'll see it outputs two things (range). It outputs -6 and -7. So this is not a function
Relation 3: (Function)
This is a function since each x-value (input) has only one y-value (output). So it's a function
Relation 4: (Not a functio)
This is not a function, since there are multiply coordinates with the same x-coordinate (input) and different y-coordinates (output). The x-coordinate 2 has the output b, y, and m, and since no value is given for these variables, it can be assumed they're different values, thus it's not a function.
GIVING BRAINLEST!
A cup of apple juice requires spoons of sugar. If David prepares 18 cups of juice, then how much
spoons of sugar is required?
90
72
8
2
Answer:
I think it is 72
Step-by-step explanation:
but the question doesn't make sense because it should tell the number of spoons per 1 cup of sugar, perhaps it was a copy-paste mistake?
Please help quickly if you can ! :)
Answer:
y=49x
Step-by-step explanation:
As you can see from the graph, the distance from home increases by 49 miles per hour driven.
Therefore the distance driven for any given time in hours is 49x
Therefore y = 49x
please help how do i this?
The order of the numbers from the greatest to the least is
|-20| > |12.3| > |8| > |-6| > |-4| > |2 3/10|
Magnitude of numbersFrom the question, we are to order the given numbers from the greatest to the least in magnitude
The given numbers are
|-20|, |-4|, |-6|, |8|, |2 3/10|, |12.3|
Since the modulo sign is included, the negative signs do not take effect.
Hence, the order of the numbers from the greatest to the least is
|-20| > |12.3| > |8| > |-6| > |-4| > |2 3/10|
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The speed of light is 186,282 miles per second write the place name and the value of each eight in this number
Place name of eights are ten thousands place & tens place & 80000, 80 are the values respectively.
The expanded form of a number is splitting of numbers based on place value. The place are ones, tens, hundreds, thousands, ten thousand etc
that is, the number represented by the sum of each digit multiplied by its place value is called the expanded form of a number.
Example : Expanded form of 4567 is 4000+500+60+7. where 4 is in thousands place, 5 is in hundreds place, 6 is in tens place and 7 is in ones place.
Given that, The speed of light is 186,282 miles per second.
The number is 186282.
Expanding the number, we get,
186282 = 100000+80000+6000+200+80+2
Here in the number 186282, eight present in the ten thousands place and in the tens place.
Since one eight is in ten thousands place, so the value is 80000
And the another eight is in the tens place, so the value is 80.
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How is the relationship between the length and area of the rectangle different from other kinds of relationships we've seen before ?
The area of a rectangle = Length × Breadth
The area of a rectangle is the product of the breadth and length of a rectangle. A = L * W, where A is the area, L is the length, W is the width or breadth.We must determine the product of a rectangle's length and breadth in order to get its area.Area of a rectangle is equal to length times width.For instance, if a rectangle has a length of 50 cm and a width of 7 cm, its area is equal to 350 square cm (50 × 7 square cm).Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.Learn more about Rectangle
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Type the correct answer in each box. Use numerals instead of words. The domain of this function is {-12, -6, 3, 15}. Complete the table based on the given domain. x y -6 5 15 15
The complete table is
x -12 -6 3 15
y -6 5 15 15
How to complete the table?The domain is given as:
Domain = {-12, -6, 3, 15}.
The incomplete table is given as
x
y -6 5 15 15
Enter the domain in the x values
x -12 -6 3 15
y -6 5 15 15
Hence, the complete table is
x -12 -6 3 15
y -6 5 15 15
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please help please and thank you
Answer:
B or the second option
Step-by-step explanation:
We can label the diagram parts A-E to fully represent the situation in the question.
A: Julie's ascent up the mountain (moving/increasing)
B: Julie drinking hot chocolate (stationary/constant)
C: Julie's descent down the mountain (moving/decreasing)
D: Julie rests (stationary/constant)
E: Julie's final descent down the mountain (moving/decreasing)
A rectangular tank has its width exactly half its length. That the height of the tank is 3M and the length is 8m. What is the volume of the tank in M3?
Answer:
Volume = 96m^3
Step-by-step explanation:
If the length of the tank is 8 meters, then the width must be 4 meters, because the question said the width was half the length. Since the height, 3 meters, was also given, we can find the volume.
Vol = L × w × h
We multiply together the length, width and height.
Vol = 8 × 4 × 3
= 96
The volume is 96 meters^3
very hard problem someone help
Answer:
Everything in the box currently is correct but the bottom two numbers are just -3 and -4
Step-by-step explanation:
Cual es el resultado de f(x)=−7x−1
The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
What is the function of f(x) of a linear equation?The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
Slope (m)x-intercepts, andy-intercepts.y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
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What is the answer to the question down below
The equation which could be used to find the value of x is; (x+10) +(x-6) = 10.
Which equation can best be used to find the value of x?According to the task content, it follows that the lines WX and WY both amount to the line XY which joins points X and Y.
Hence, it follows that the equation which can be used to find the value of x is; (x+10) +(x-6) = 10.
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A spherical ball for a machine was made with a radius of 2 centimeters. if the ball has a mass of 278.1 grams, which material was used to make the ball?
The spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams and will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
The density of an object is given as the ratio of its mass and its volume.
Density = Mass/Volume.
In the question, we are informed that a spherical ball for a machine was made with a radius of 2 centimeters.
Thus, the volume of the spherical ball, using the formula for the volume of a sphere, V = (4/3)πr³, where r is its radius, can be calculated as:
V = (4/3)π(2)³ cm³ = 32π/3 cm³ = 33.51032 cm³.
The mass of the ball is given to be 278.1 grams.
Thus, its density = 278.1/33.51032 grams per cm³ = 8.2989355 grams per cm³.
We know that the density of Terbium is 8.23 grams per cm³.
Thus, the spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams, will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
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Answer: copper
Step-by-step explanation:
Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.
If Laney ran 930 meters, how far did Mason run? Draw a tape diagram to determine how you fou your answer.
Using proportions, it is found that Mason ran 620 meters.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the ratio, the rule of three is given as follows:
2 laps for Mason - 3 laps for Laney.
n meters for Mason - 930 meters for Mason.
Applying cross multiplication:
3n = 930 x 2
n = 930 x 2/3
n = 620
Mason ran 620 meters.
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32.For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
32. (2, 4) and (4, 10)
Answer:
The required linear equation satisfying the given points (2,4) and (4,10) is y=3x-2
Step-by-step explanation:
Two points are given in question, (2,4) and (4,10).
It is required to find out a linear equation satisfying the points (2,4) and (4,10).
To find it out, find the slope of a line passing through these two given points. Then consider one of the points to give the linear equation of the line in the
[tex]$$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$$[/tex]
Step 1 of 3
The slope of a line passing through the points (2,4) and (4,10) is given by
[tex]$$\begin{aligned}m &=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\m &=\frac{10-4}{4-2} \\m &=\frac{6}{2} \\m &=3\end{aligned}$$[/tex]
Step 2 of 3
Now use the slope m=3 and use one of the two given points and write the equation in point-slope form:
[tex]$$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$$\\ $$(y-4)=3(x-2)$$[/tex]
Distribute 3 ,
[tex]$$\begin{aligned}&y-4=3 x-3 \times 2 \\&y-4=3 x-6\end{aligned}$$[/tex]
Step 3 of 3
This linear function can be written in the slope-intercept form by adding 4 on both sides,
[tex]$$\begin{aligned}&y-4+4=3 x-6+4 \\&y=3 x-2\end{aligned}$$[/tex]
So, this is the required linear equation.
What is the asymptote of the function g(x) = 5•2^3x + 4 shown on the graph?
A: y=4
B: y=5
C: y=0
D: y = 3
which coordinate pair is a solution of the linear equation below -3x+4y=19
The coordinate pair that is a solution of the linear equation -3x+4y=19 is (0, 19)
How to determine the ordered pair?The linear equation is given as:
-3x + 4y= 19
Set x = 0
So, we have:
-3(0) + 4y = 19
Evaluate
4y = 19
Divide by 4
y = 19/4
Hence, the coordinate pair that is a solution of the linear equation -3x+4y=19 is (0, 19)
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Help me pls my mom wants me to finish soon
Answer:
B
Step-by-step explanation:
22
Select the correct answer.
Consider functions fand g.
f(x) = ^x4 + 9x^2 - 3
g(x) = (1/2) ^x-2
Using a table of values, what are the approximate solutions to the equation f(x) = g() to the nearest quarter of a unit?
OA -0.5 and
OB.
I-0.25 and
OC
OD. I
0.5
1.5
-0.25 and ≈ 2.5
I ~ -1 and I ~ 0.75
Reset
Next
The approximate solution of the system of equations is x = 0.75
How to determine the approximate solutions?The functions are given as:
f(x) = x^4 + 9x^2 - 3
g(x) = (1/2)^x - 2
Calculate the values of the function from -1 to 1
x f(x) g(x)
-1 7 8
-0.75 2.38 6.72
-0.5 -0.69 5.66
-0.25 -2.43 4.76
0 -3 4
0.25 2.43 3.36
0.5 -0.69 2.83
0.75 2.38 2.38
1 7 2
From the above table, we have:
f(0.75) = g(0.75) = 2.38
Hence, the approximate solution of the system of equations is x = 0.75
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Place the indicated product in the proper location on the grid. (x + 2)(x - 2)
The product of the polynomials, (x + 2)(x - 2) = x² - 4.
How to Find the Product of Polynomials?Given the following expression, (x + 2)(x - 2), to find the product, apply the distributive property as shown below:
(x + 2)(x - 2)
x(x - 2) + 2(x - 2)
x² - 2x + 2x - 4
Combine like terms together
x² - 4
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
7 is multipled by the difference of a number and 1.
The algebraic expression of the given sentence is: 7(x - 1).
How to Write an Algebraic Expression?Let the unknown number be represented as x.
The word "difference" means subtraction which is "-". Multiplied means times.
We would have the following:
"Difference of x and 1" is: x - 1
x - 1 multiplied by 7 would be: 7(x - 1)
Therefore, the algebraic expression is: 7(x - 1).
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Find the Area-Rectangle
a = x +3
b = 2x - 1
Answer:
2x^2 + 5x - 3
Step-by-step explanation:
Area = length (a) * width (b)
(x + 3) * (2x - 1)
2x^2 + 6x - x - 3 (combine like terms)
2x^2 + 5x - 3
Brainliest, please :)
There are 20 boys and 18 girls in a class.
Find the percentage of
(i) boys in the class
(ii) girls in the class
Answer:
Step-by-step explanation:
Total Students = 20 + 18 = 38 students
For boys percentage = 20/38 * 100
Boys percentage = 52.6%
For girls percentage = 18/38 * 100
Girls percentage = 47.3%
Answer:
(i) 52.631578947368 %
(ii) 47.368421052632 %
Step-by-step explanation:
there are :
20 boys
18 girls
Total number of students 38
========================
(i) the percentage of boys in the class
[tex]=\frac{20}{38} \times100 = 52.631578947368 \ \%[/tex]
(ii) the percentage of girls in the class
[tex]=\frac{18}{38} \times100 = 47.368421052632 \ \%[/tex]
A cheerleading team plans to sell t-shirts as a fundraiser. The team's
goal is to make a profit of at least $1248. The profit on each t-shirt sold
is $6.50. The team's goal is written as the inequality shown below.
6.50t ≥1248 where t=number of t-shirts sold
Which graph represents the solution to this inequality?
Answer:
You didn't include any choices.....see below
Step-by-step explanation:
For the following exercises, evaluate the function at the indicated values:
f(−3); f (2); f(−a); −f(a); f (a + h).
6 f (x) = 2∣3 x − 1∣
Answer:
The evaluated function for the indicated values is given below.
The value of f(-3) is 20 .
The value of f(2) is 10 .
The value of f(-a) is [tex]$2|-3 a-1|$[/tex].
The value of -f(a) is [tex]$-2|3 a-1|$[/tex].
The value of f(a+h) is [tex]$2|3 a+3 h-1|$[/tex].
Step-by-step explanation:
A function [tex]$f(x)=2|3 x-1|$[/tex] is given.
It is required to evaluate the function at [tex]$f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$[/tex].
To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.
Step 1 of 5
The given function is [tex]$f(x)=2|3 x-1|$[/tex].
To evaluate the function at f(-3), substitute -3 in the given function [tex]f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$[/tex]
Step 2 of 5
To evaluate the function at $f(2)$, substitute 2 in the given function.
[tex]f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$[/tex]
Step 3 of 5
To evaluate the function at f(-a), substitute -a in the given function.
[tex]$$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$$[/tex]
Step 4 of 5
To evaluate the function at -f(a), substitute a in the given function.
[tex]f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$[/tex]
Step 5 of 5
To evaluate the function at f(a+h), substitute a+h in the given function. [tex]$f(x)=2|3 x-1|$[/tex]
[tex]$$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$$[/tex]