(6.04)The scatter plot shows the relationship between the number of hours spent jogging and the number of minutes spent stretching, by the students on a track team:
What is the y-intercept of the line of best fit and what does it represent?
1 minute; the number of minutes students stretch when they do not jog
1 hour; the number of hours students jog when they do not stretch
4 hours; the number of hours students jog when they do not stretch
4 minutes; the number of minutes students stretch when they do not jog
Answers
1 minute, the number of minutes students stretch when they do not jog
Related Questions
In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ?x - 49
Answers
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
x² + 0x - 49 = 0
Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.
Answer:
0
Step-by-step explanation:
A ship traveled for 4 hours heading west and for 5 hours heading north. If the total distance traveled was 119 miles, and the ship traveled 5 miles per hour faster west, at what speed was the ship traveling west
Answers
then distance travelled west = time * speed = 4x
speed going North was x - 5 mph and distance = 5(x - 5)
so we have
4x + 5x -25 = 119
9x = 119+25 = 144
x = 144/9 = 16 mph <------ answer
The area of a rectangle is 28 ft2 , and the length of the rectangle is 1 ft more than twice the width. find the dimensions of the rectangle.
Answers
L=2x+1
Area=(2x+1)x=28
2x²+x=28
2x²+x-28=0
(2x-7)(x+4)=0
x=3.5, -4. (3.5 makes more sense)
2x+1=8
area = 28 ft²
width = 3.5 feet | length = 8 feet.
The length is 8feet and the width of the rectangle is 3.5feet
Let the width of the rectangle be represented by w
Let the length of the rectangle be represented by = 2w + 1
Therefore, based on the information given, the equation to solve the question will be:
w(2w + 1) = 28
2w² + w = 28
2w² + w - 28 = 0
2w² + 8w - 7w - 28 = 0
2w(w + 4) - 7(w + 4) = 0
2w - 7 = 0
2w = 0 + 7
2w = 7
w = 7/2
w = 3.5
The width is 3.5 feet
The length will be:
= 2w + 1
= 2(3.5) + 1
= 7 + 1
= 8
The length is 8feet and the width is 3.5feet
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which function is equivalent to the inverse of y=sec(x)
a. y=cot^-1(x)
b. y=cos^-1(1/x)
c. y=csc^-1(x)
d. y=sin^-1(1/x)
Answers
[tex]sec(x)= \frac{1}{cos(x)} [/tex]
[tex]f(x)=sec(x)= \frac{1}{cos(x)} [/tex]
the inverse of f is g such that f(g(x))=x,
we must find g(x), such that [tex] \frac{1}{cos[g(x)]}=x [/tex]
thus, [tex]cos[g(x)]= \frac{1}{x} [/tex]
[tex]g(x)=cos^{-1} (\frac{1}{x}) [/tex]
Answer: b. g(x)=cos^-1(1/x)
Answer: B) csc^-1(x)
Step-by-step explanation: EDGE 2021
What is the slope of a line that is perpendicular to the line v= 3/4x-6?
A. 3/4
B. -4/3
C. -3/4
D. 1/6
Answers
The reciprocal of 3/4 is 4/3. The negative of that is -4/3.
Final answer: B
The slope of line which is given to be perpendicular to the line represented by equation "v = (3/4)x - 6" is : (b) -4/3.
To determine the slope of a line that is perpendicular to the given line v = (3/4)x - 6, we use the property that perpendicular lines have slopes that are "negative-reciprocals" of each other.
The slope of the given line is 3/4. To find the slope of the perpendicular line, we take the negative reciprocal of 3/4.
The negative reciprocal of 3/4 is -4/3. So, the slope of the line that is perpendicular to the given-line v = (3/4)x - 6 is -4/3.
Therefore, the correct answer is (b) -4/3.
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15,000 loses value by 20% each year. What is the value after 3 years
Answers
Answer:
Step-by-step explanation: 7680
After losing 20% we have 80% remaining
∴ value after three years = 15,000 × [tex]\frac{80}{100}[/tex] × [tex]\frac{80}{100}[/tex] ×[tex]\frac{80}{100}[/tex]
= 15,000 × [tex]\frac{4}{5}[/tex] ×[tex]\frac{4}{5}[/tex] ×[tex]\frac{4}{5}[/tex]
= 7680
Factor y2 + 10z - 10y - yz.
Answers
First, let's write the problem.
[tex]y^2+10z-10y-yz[/tex]
First, we have to factor the y from [tex]y^2-10y[/tex], so we would be left with,
[tex]y\left(y-10\right)[/tex]
Next, we factor the [tex]-z[/tex] from [tex]10z-yz[/tex]. This would leave us with,
[tex]=y\left(y-10\right)-z\left(y-10\right)[/tex]
The common term is [tex]\left(y-10\right)[/tex], so let's factor it out.
[tex]=\left(y-10\right)\left(y-z\right)[/tex]
That would be our final answer.
Thanks!
-TetraFish
GCF of y^2 and -yz
GCF of 10z and -10y
y(y-z)+10(z-y)
Now, (z-y) is the opposite of (y-z), so turn the +10 into -10 and change sign inside parenthesis.
y(y-z) - 10 (y-z)
(y-10)(y-z)
When a meteorologist says that there is a 30% chance of showers, what type of probability is the person using?
Answers
A mosaic is made by having 1 cm square tiles glued onto a photograph. the photograph is a 6 cm by 8 cm rectangular photo. It is enlarged by a scale factor of 1.5. how many tiles are needed to cover the enlarged photo
Answers
Old photo = 6 cm x 8 cm
New photo = 6 cm x 1.5 x 8 cm x 1.5
= 9 cm x 12 cm
Number of tiles = Area of photo / Area of tiles
Area of photo = 9 x 12 = 108 cm^2
Area of tiles = 1 cm x 1 cm = 1 cm^2
Number of tiles = 108 cm^2 / 1 cm^2 = 108 tiles
The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 centimeters and 5 centimeters. to the nearest tenth, what is the length of the shorter leg of the triangle?
Answers
a^2 = y^2 + 11^2
x^2 - 5^2 = y^2 - 11^2.......... (1)
Also consider the whole triangle:
x^2 + y^2 = 16^2..........(2)
x^2 - y^2 = -96 .........(3) (from equation (1))
adding 2 x^2 = 256 + -96 = 160
x^2 = 80
x = sqrt80
= 8.94 to nearest hundredth
In triangle PQR, C is the centroid.
Answers
Question (a):
PC:CY = 2:1
If CY=10, then PC=20 and PY=20+10=30
Question (b):
QC:CZ= 2:1
If QC=10, then CZ=5 and ZQ=10+5=15
Question (c):
PX : XQ = 1 : 1
if PX = 20, then PQ = 40
A student claims that a figure has rotational symmetry and that the angle of rotational symmetry is 360 degrees. Critique the student's statement.
Answers
A swimming pool is 15 by 30 feet and a consistent 5 feet deep. you are painting the walls and floor of the pool. if a gallon can of paint covers 250 square feet, how many gallon cans would you need to buy
Answers
the bottom of the pool is 15 x 30 = 450 sq feet.
you the have 2 walls that are 30 x 5 = 150 x 2 = 300 square feet
then 2 walls that are 15 x 5 = 75 x 2 = 150 square feet
for a total of 450 +300 +150 = 900 square feet
1 can covers 250 sq ft
so 900/250 = 3.6
so you would need 4 cans of paint
two points are collinear
Answers
Answer:
1. B
2. C
3. B
4. C
5. A
6. A
7. C
8. A
9. D
10. C
11. B
12. B
The x-intercept of the line x = 3.5 is . The y-intercept of the line y = -6.5 is . Enter your answer as an ordered pair such as (1, 1) or (-2, 2).
Answers
Next, The y-intercept of the line y = -6.5 means that when x=0, and y=-6.5, so the order pair for this is (0,-6.5) or (0,-6 1/2). As a result, The x-intercept of the line x = 3.5 is (3.5,0) or (3 1/2,0) . The y-intercept of the line y = -6.5 is (0,-6.5) or (0,-6 1/2). Hope it help!
PLEASE PLEASE IM RUNNING OUT OF TIME AND NEED YOUR HELP!!!!!
hope i wrote these correctly!
Simplify: ^3√108c^17
My Choics are...
:
a. 6c^8√3c
b. 3^3√4c^17
c. 3c^5 ^3√4c^2
d. 18c^8√3c
Answers
answer
c. 3c^5 ∛4c^2
The temperature of a point $(x,y)$ in the plane is given by the expression $x^2 + y^2 - 4x + 2y$. what is the temperature of the coldest point in the plane?
Answers
can be written as follows:
[tex] x^{2} -4x+ y^{2}+2y[/tex]
[tex](x^{2} -4x+4)-4+ (y^{2}+2y+1)-1[/tex]
[tex] (x-2)^{2}+(y+1)^{2} -5[/tex]
since [tex](x-2)^{2}[/tex] and [tex](y+1)^{2}[/tex] are always positive, except for x=2 and y=-1, when they become 0,
the minimum value of this expression is when x=2, and y=-1, that is -5
Answer: -5
if acircle is inscribed in a hexagon, which of the following must be true ? Check all that apply.
A. The hexagon is circumscribed about the circle.
B. Each vertex of the hexagon lies inside the circle.
C. The circle is congruent to the hexagon.
D. Each vertex of the hexagon lies outside the circle.
E. The circle is tangent to each side of the hexagon.
Answers
D. Each vertex of the hexagon lies outside the circle .
E. The circle is tangent to each side of the hexagon .
Answer: A. The hexagon is circumscribed about the circle.
D. Each vertex of the hexagon lies outside the circle.
E. The circle is tangent to each side of the hexagon.
Step-by-step explanation:
Given: A circle is inscribed in a hexagon.
Then the hexagon is circumscribed about the circle.
Each vertex of hexagon lies outside the circle.
As each side of hexagon is just attached to the circle not passing through the circle, thus the circle is tangent to each side of the hexagon.
Since circle is a closed curve and hexagon is regular polygon with 6 sides, they cannot be congruent because they have different shapes.
A building is 60 ft tall and another is 80 ft tall. A model of the 60 ft building is made at 1 ft. tall. How tall is the model of the 80 ft tall building?
Answers
1 foot = 60 feet
80/60 = 1.333
80 foot building is made 1.33 feet tall (16 inches, 1 foot 4 inches)
The graph of a line goes down and to the right when
Answers
Help please. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
A.5√2 /2
B.5√3
C.5√2
D.5√3 /2
Answers
Answer: The value of the variable is [tex]x=\dfrac{5\sqrt2}{2}.[/tex]
Step-by-step explanation: We are given to find the value of the variable 'x' in the figure.
We can see that the figure is a right-angled triangle with the length of the hypotenuse as follows:
h = 5 units.
Now, with respect to the angle of measure 45°, the length of the perpendicular is x units.
That is, p = x units.
From relations between trigonometric ratios, we have
[tex]\sin 45^\circ=\dfrac{\textup{perpendicular}}{\textup{hypotenuse}}\\\\\\\Rightarrow \dfrac{1}{\sqrt2}=\dfrac{p}{h}\\\\\\\Rightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{5}\\\\\\\Rightarrow x=\dfrac{5}{\sqrt2}\\\\\\\Rightarrow x=\dfrac{5\sqrt2}{(\sqrt2)^2}\\\\\\\Rightarrow x=\dfrac{5\sqrt2}{2}.[/tex]
Thus, the value of the variable is [tex]x=\dfrac{5\sqrt2}{2}.[/tex]
The screen on Lawrence's new phone is 3.15 centimeters long.What mixed number represent the lenght of the phone screen?
Answers
One example of mixed number is [tex]3 \frac{1}{4} [/tex], read as 'three and one quarter'. As decimal fraction, [tex]3 \frac{1}{4} [/tex] equals to 3.25
We are given the value of 3.15 and to change this into a mixed number, first note the whole number, which is 3.
We then change the decimal value 0.15 into a fraction and it is [tex] \frac{15}{100}= \frac{3}{20} [/tex]
Hence, 3.15 = [tex]3 \frac{3}{20} [/tex]
Write a function max that has two c string parameters and returns the larger of the two.
Answers
if (strcmp(number1, number2) > 0)
return number1;
else
return number2;
}
Final answer:
To determine the larger of two C strings, a function named max uses strcmp to compare them, returning the one considered greater in alphabetical order.
Explanation:
To write a function named max that returns the larger of two C strings, one must compare the two strings alphabetically. Here is an example implementation in C:
#include // Include the header file for string functions// Function declaration
const char* max(const char* str1, const char* str2) {
// Compare the two strings
int result = strcmp(str1, str2);
// If str1 is greater than or equal to str2
if(result >= 0)
return str1;
else
return str2;
}
The strcmp function from the string.h library is used to perform the comparison. If the first string (str1) is greater than or equal to the second string (str2), str1 is returned; otherwise, str2 is returned. Note that the comparison is based on the ASCII values of the characters, effectively ordering them alphabetically.
Find the least common multiple of these two expressions. 14x^2y^4 and 21x^3u^7y^8
Answers
14 = 2 * 7
21 = 3*7
LCM = 2*3*7 = 42
answer is 42x^3u^7y^8
Find the 39th term of the arithmetic sequence that starts with 4 and has a common difference of 6.
A. 232
B. 226
C. 238
D. None of these
Answers
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
We are told that a=4 and d=6 so we have:
a(n)=4+6(n-1), so the 39th term is:
a(39)=4+6(38)
a(39)=4+228
a(39)=232
Two minor league baseball players got a total of 292 292 hits. washington had 18 18 more hits than sanchez. find the number of hits for each player
Answers
Number of hits by Washington = 18 + x
Total number of hits = 292
x + 18 + x = 292
2x + 18 = 292
2x = 274
x = 137
Hence, Sanchez has 137 hits and Washington has 155 hits.
simplify
27 2/3
----------
27 4/3
Answers
We can write it like this,
[tex]\frac{27\frac{2}{3}}{27\frac{4}{3}}[/tex]
Let's convert them to improper fractions,
[tex]=\frac{\frac{83}{3}}{\frac{85}{3}}[/tex]
Let's divide them, but to do that we have to take the reciprocal of the second fraction,
[tex]=\frac{83\cdot \:3}{3\cdot \:85}[/tex]
Since our common factor is 3, we can cancel them out.
[tex]=\frac{83}{85}[/tex]
That would be our final answer.
Thanks
-TetraFish
Answer:
It would be 9
Step-by-step explanation:
for edgen 2020
(04.01 LC)
Which of the tables represents a function?
Table A
Input
Output
3 1
3 4
2 3
Table B
Input
Output
2 7
5 6
2 9
Table C
Input
Output
1 5
7 2
7 3
Table D
Input
Output
3 4
1 5
8 5
Table A
Table B
Table C
Table D
Answers
Answer:
I believe the answer is table D.
Step-by-step explanation:
Each input can only have one output. The other tables have multiple outputs for each input. Therefore they get "cut off," and table D is the answer.
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Bobby knows that the perimeter of the original rectangular is 120 meters he also knows that the perimeter of the reduced rectangular is 30 meters and the reduced length is 9 meters
Answers
Answer:36meters
Step-by-step explanation:
find the center of the circle that can be circumscribed about triangle EFG, E(6,4) F(6,2) and G(10,2)
Answers
Final answer:
The center of the circumscribed circle about triangle EFG with given vertices is found by calculating the perpendicular bisectors of the triangle's sides and locating their intersection point, which is the center (8,3).
Explanation:
To find the center of the circumscribed circle about triangle EFG with vertices E(6,4), F(6,2), and G(10,2), we need to determine the perpendicular bisectors of at least two sides of the triangle and then find their intersection point, which will be the center of the circumscribed circle.
First, find the midpoint of side EF, which has the same x-coordinate (since E and F have the same x-coordinate), so the midpoint is (6,3).Next, we need the equation of the perpendicular bisector of EF. Since EF is vertical, its perpendicular bisector is a horizontal line that passes through the midpoint, hence the equation is y = 3.Then, find the midpoint of side FG. As the endpoints have the same y-coordinate, the midpoint will have that y-coordinate (2) and the x-coordinate will be the average of the x-coordinates of F and G, which is (6+10)/2 = 8. So, the midpoint of FG is (8,2).The slope of side FG is 0 (since it's horizontal), so the slope of its perpendicular bisector is undefined, meaning it's a vertical line. Consequently, the equation of this perpendicular bisector is x = 8.Last, by solving the system of equations formed by the two perpendicular bisectors x = 8 and y = 3, we find the intersection point, which is the center of the circumscribed circle: (8,3).