The linear function y= 13x represents the distance y (in miles) you have traveled after x hours during a 4-hour bicycle ride.
Which graph represents the situation?
Answers
Answer:
Step-by-step explanation:
Linear function representing the distance traveled 'y' in 'x' hours is,
y = 13x
Table for the points lying on the line is,
x y
1 13
2 26
3 39
4 52
5 65
Since, these points are lying on the graph shown in the picture,
Given graph will be the answer.
Related Questions
Ivan said that if a number ends in 0 both 2 and 5 are factors of the number. Is he correct? Why of why not?
Answers
Answer:
yes he is correct bc the number will always be divisive by 2 and 5
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
A- (−2, 2)
B- (2, 2)
C- (−2, 6)
D- (2, 6)
Answers
Answer:
I believe the answer is C (-2,6)
[tex]\\ \rm\rightarrowtail y=x^2+4x+10[/tex]
Add and subtract 4[tex]\\ \rm\rightarrowtail y=x^2+4x+4+10-4[/tex]
[tex]\\ \rm\rightarrowtail y=x^2+4x+2^2+6[/tex]
[tex]\\ \rm\rightarrowtail y=(x+2)^2+6[/tex]
Vertex form
y=a(x-h)^2+kVertex:-
(h,k)=(-2,6)The rod is made of A-36 steel and has a diameter of 0.22 in . If the rod is 4 ft long when the springs are compressed 0.7 in . and the temperature of the rod is T= 30 ∘F , determine the force in the rod when its temperature is T= 150 ∘F .
Answers
The force in the rod when the temperature is 150 °F is 718.72 pounds-force.
How to determine the resulting the resulting force due to mechanical and thermal deformationLet suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force ([tex]F[/tex]), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.
Given simmetry considerations, we derive an expression for the spring force ([tex]F[/tex]), in pounds-force, as a sum of mechanical and thermal effects by principle of superposition:
[tex]F = k\cdot (\Delta x + 0.5\cdot \Delta l)[/tex] (1)
Where:
[tex]k[/tex] - Spring constant, in pounds-force per inch.[tex]\Delta x[/tex] - Spring deformation, in inches.[tex]\Delta l[/tex] - Rod elongation, in inches.The rod elongation is described by the following thermal dilatation formula:
[tex]\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})[/tex] (2)
Where:
[tex]\alpha[/tex] - Coefficient of linear expansion, in [tex]\frac{1}{^{\circ}F}[/tex].[tex]L_{o}[/tex] - Initial length of the rod, in inches. [tex]T_{o}[/tex] - Initial temperature, in degrees Fahrenheit.[tex]T_{f}[/tex] - Final temperature, in degrees Fahrenheit.If we know [tex]k = 1000\,\frac{lb}{in}[/tex], [tex]\Delta x = 0.7\,in[/tex], [tex]\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}[/tex], [tex]L_{o} = 48\,in[/tex], [tex]T_{o} = 30\,^{\circ}F[/tex] and [tex]T_{f} = 150\,^{\circ}F[/tex], then the force in the rod at final temperature is:
[tex]F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right][/tex]
[tex]F = 718.72\,lbf[/tex]
The force in the rod when the temperature is 150 °F is 718.72 pounds-force. [tex]\blacksquare[/tex]
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The ratio of dogs to cats at the veterinarian's office on Saturday. was 6 to 5. If there were 15 cats at the office, how many dogs and cats were there altogether?
Answers
Answer:
33 total cats and dogs
Step-by-step explanation:
15/5=3
3*6=18
18+15=33
hope this helps
Answer:
Dogs: 18Cats: 15In total: 33Step-by-step explanation:
Set up a proportion: [tex]\frac{6}{5} = \frac{x}{15}[/tex] Cross multiply, then divide: 15 × 6 = 90, 90 ÷ 5 = 18So, there are 18 dogs in total.Add the dogs and cats together: 18 + 15 = 33I hope this helps!
Given: 7x/2 < 5.
Choose the solution set.
• {xlx > 10/7}
• {x|x < 35/2}
• {x|x > 35/2}
• {x|x < 10/7}
I have no idea lol.
Answers
Answer:
x < 10/7
Step-by-step explanation:
7x/2 < 5
multiply eech side by the reciprocal(2/7)
x < 10/7
how many values of x will satisfy the equation -2|3x-5|=0
Answers
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = [tex]\frac{5}{3}[/tex]
Hence, the x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
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Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (-2, 2), (1, –3), (8, –1)}
{(-3, –1), (-7, 1), (–6, –1), (-8, 1), (2, –1)}
{(1, 8), (5, 2), (2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (4, 2), (6, –3), (1, –1)}
Answers
Answer:
A
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
find the LCD of 1/3and2/7
Answers
Answer:
21
Step-by-step explanation:
I need help doing this I don't pay attention in class now I'm lost
Answers
Answer:
i think the answer is 6498
Step-by-step explanation:
Answer:
6498
Step-by-step explanation:
Pay attention in class :)
Okay, so basically, you just need to replace x and y with the corresponding numbers.
So our equation would be:
9 * 2(5 * 7 - 8 * 2) squared
Now we solve with PEMDAS:
9 * 2(35 - 16)squared
9 * 2(19)squared
9 * 2(361)
18 * 361
6498
Let me know if I did something wrong!
PLEASE HELP
Write a story problem to go with the multiplication problem 5 x 3/4 . Then solve the problem.
Answers
Story:
John is baking a cake. He need to feed 5 people with the cake but the recipe is only designed for 1 serving. In the regular recipe, it required 3/4 cups of sugar. How much sugar does he need for the new recipe?
Answer:
3.75 or 3 3/4
Answer:
A store has 5 oranges then a customer buys 3/4 of them. How many is left
Step-by-step explanation:
5x3/4=3.75 if it was in decimal but in fraction it is 23/4
5x3/4=3.75
3/4 is 0.75
0.75 x 5=3.75
X + 14 = 21 what should be done to solve this equation
Answers
Answer:
x+14=21 Add 14 to both sides of the equation. Subtract 14 from the left side of the equation. Add 14 to the left side and subtract 14 from the right side of the equation.
Step-by-step explanation:
Answer: x = 7
Step-by-step explanation:
U first subtract 14 from both sides
x + 14 - 14 = 21 - 14
And then u simplify
and get 7
I need help please due in a hour
Answers
Answer:
so easy ....dude
Step-by-step explanation:
you can do it..
What is a savings goal? PLS I NEED HELP QICK PLSSS nvm
Answers
Answer:
A goal for the amount of money being saved.
Step-by-step explanation:
what is the initial number of views?
A.0
B.100
C.110
D.11
Answers
Answer:
A
Step-by-step explanation:
O because that is the number that you always start off.
It is 100 because the graph starts there it doesn’t start on (0,0)it starts on (0,100)
Determine the solution to the equation given 4(m-2)=18
Answers
Answer:
m=13/2 hope this helped:)
Step-by-step explanation:
Find the real-number root.
√1.44
1.2
no real roots
2.07
0.72
Answers
Answer: A. 1.2
Step-by-step explanation:
The principal, real, root of:
2^√1.44
=1.2
All roots:
1.2
−1.2
1.44 is not a perfect square
Practice Translate Expressions
Write an algebraic expression that models the given word phrase.
1) 15 divided by d ________________________
2) seven fewer than a number n ________________________
3) two times the sum of a and b ________________________
4) nine less than 5 multiplied by the number p ________________________
5) the product of 15 and x ________________________
6) quotient of 4 more than the number z and the number y decreased by _________
Answers
2) n - 7
3) (a + b) x 2
4) 5p - 9
5) 15x
6) 4 + z / y
Emma measured a line to be 16 inches long. If the actual length of the line is 15.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
4.6% (nearest tenth)
Step-by-step explanation:
percent error = (|approx - actual| ÷ actual) × 100
percent error = (|16 - 15.3| ÷ 15.3) × 100
= 4.6% (nearest tenth)
[tex] \sf\% \: error = \frac{ |approx - actual| }{actual} \times 100[/tex]
Approx = 16Actual = 15.3[tex] \tt\% \: error = \frac{ |16 - 15.3| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{0.7}{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{ \frac{7}{10} }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 }{ 153 } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 00}{ 153 } [/tex]
[tex] \tt\% \: error =4.57\%[/tex]
Thus, The % error is 4.6% when rounded off to the nearest tenth!!~Solve the following equations for x (5 points each). (a) -3x+10=34 and (b) 13x-4=11x+10-8
please show work
Answers
Answer:
A)x=-8 B)x=3
Step-by-step explanation:
A)-3x+10=34 -3x+10-10=34-10 -3x/-3=24/-3 x=-8
B) 13x-4=11x+10-8 13x-4+4=11x+10-8+4 13x-11x=11x-11x+6 2x/2=6/2 x=3
Evaluate functions from their graph .
Answers
f(-1) = 3
AHIJ has coordinates H(0, 0), I(-3, -1), and J-1, -2). Graph the triangle and its translation 3 units to the right and 2 units down. What are the coordinates of J'
Answers
The coordinates of the triangle is plotted on the graph and the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Given data ,
Let the triangle be represented as ΔHIJ
Let the coordinates of the triangle be H(0, 0), I(-3, -1), and J(-1, -2)
Now , the translation rule is
The triangle is translated 3 units to the right and 2 units down
So , add 3 to the x-coordinates and subtract 2 from the y-coordinates of each point
So , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Hence , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
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What are m and b in the linear equation 15 + 9x + 3 + 7x = y?
Answers
15 + 3 + 9x + 7x = y
18 + 16x = y
Recall
b + mx = y
m = 16
b = 18
find the rate of change from the equation x=1 will mark brainiest
Answers
Answer:
undefined
Step-by-step explanation:
when graphed, x=1 goes up and down which makes it's slope undefined
Answer:
∞(infinity)
Step-by-step explanation:
rate of change for the equation x = 1
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope
x = how far along
b = Y-intercept
the equation is a vertical line,
so the slope = ∞ (infinity)
Please help ASAP marking brainly
Answers
Answer:
y = 2
Step-by-step explanation:
We are given the value of x (second equation). Let's substitute the value of x into the first equation to find y.
[tex]\rightarrow \dfrac{x}{y} = 6[/tex]
[tex]\rightarrow \dfrac{4(y + 1)}{y} = 6 \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[}x = 4(y + 1)]}[/tex]
Use cross multiplication.
[tex]\rightarrow 4(y + 1) = 6 \times y[/tex]
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
Simplify the distributive property.
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
[tex]\rightarrow 4y + 4 = 6 y[/tex]
Subtract 4y both sides.
[tex]\rightarrow 4y - 4y + 4 = 6 y - 4y[/tex]
[tex]\rightarrow 4 = 2y[/tex]
Divide both sides by 2.
[tex]\rightarrow \dfrac{4}{2} = \dfrac{2y}{2}[/tex]
[tex]\rightarrow 2 = y[/tex]
Thus, the value of y is 2.
In this image, what is the value of C? Round your answer to the nearest tenth.
Answers
Answer:
C = 7.2
Step-by-step explanation:
What's Pythagorean Theorem?
Pythagorean Theorem is a theorem in which it states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. This can be represented as an equation of a² + b² = c².To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.
Step 1: Simplify.
[tex]4^2+6^2=c^2[/tex][tex]16+36=c^2[/tex] [tex]52=c^2[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{c^2}=\sqrt{52}[/tex] C ≈ 7.2Therefore, the value of C is 7.2.
I need help please ASAP !!
Answers
Answer:
Step-by-step explanation:
5) ∠1
6) ∠2 and ∠3
7) ∠1
The standard deviation for u(90, 230)
Answers
Answer:
Standard deviation is 70
Step-by-step explanation:
square root of 4,900= 70 (solved using standard deviation formula)
100points please help
Image attached
Find x
Answers
180 -190
27 3/10 - 12 5/9 write in old style math
Answers
Answer:
273/10 - 113/9
Step-by-step explanation:
Answer:
- 15 [tex]\frac{23}{50}[/tex]
Step-by-step explanation:
We need to make [tex]\frac{3}{10}[/tex] and [tex]\frac{5}{9}[/tex] have the same denominator, or bottom half, before we can subtract them.In order to do this, we need to find a number that both 10 and 9 (the bottom numbers) both go into. (Hint! Multiplying them together usually helps!)This number is 90. (See? 10 • 9 = 90!)Since we multiplied 10 by 9 to get 90, we need to multiply the top (3) by 9 too, to get us [tex]\frac{27}{90}[/tex].We multiply [tex]\frac{5}{9}[/tex] by 10 to get us [tex]\frac{50}{90}[/tex].Now we can subtract 27 [tex]\frac{27}{90}[/tex] and 12 [tex]\frac{50}{90}[/tex].27 - 12 = 15 (big numbers)27 - 50 = -23 (fractions)Now we have - 15 [tex]\frac{23}{50}[/tex]If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
find f(343) & f(-64) .
Answers
f(343) = ?
[tex] \sqrt[3]{343} = 7[/tex]
7 + 4 = 11
f(-64) = ?
[tex] \sqrt[3]{ - 64} = - 4[/tex]
-4 + 4 = 0