Jean-Luc jogged around the lake 1 1\4 hours. William jogged the same distance in 5\6 hours. How much longer did Jean-Luc take than William in hours
Answers
answer:
5/12 hours
Related Questions
The minor arc measures of circle Z are shown in the figure.
Use the drop-down menus to complete each statement.
1) Angle UZT is congruent to angle _____
2) Angle VZW is congruent to angle____
Answer choices
1) a. TZY, b. XZW, c. VZW
2) a. UZV, b. TZY, c. YZX,
Answers
1)Angle UZT is congruent to angle b. XZW.
2)Angle VZW is congruent to angle c. YZX.
In circle Z, angles that intercept the same arc are congruent. Therefore, to determine which angles are congruent, we need to look at the arcs they intercept.
Angle UZT intercepts minor arc XT, and angle XZW intercepts minor arc XW. Since the measure of arc XT is equal to the measure of arc XW (both are 60 degrees), angle UZT and angle XZW must be congruent.
Angle VZW intercepts minor arc VW, and angle YZX intercepts minor arc YZ. Since the measure of arc VW is equal to the measure of arc YZ (both are 120 degrees), angle VZW and angle YZX must be congruent.
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Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
Answers
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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How do I solve this question
Answers
3y+1+56=180
3y+57-57=180-57
3y/3=123/3
Y=41
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Answers
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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85% de 1560 90% de 158 138% de 1610 50% de 230
Answers
b. 142.2
c. 2221.8
d. 115
Find the area of the region
Answers
The area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ is √3 - π/3.
What is the area of the region that lies inside the circleTo find the area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ, we can integrate the difference between the areas of the two curves.
First, we can find the bounds of integration by setting the two curves equal to each other:
cosθ = 1 - cosθ
2cosθ = 1
cosθ = 1/2
θ = π/3, 5π/3
The area of the region can then be found by integrating the difference between the areas of the two curves with respect to θ from π/3 to 5π/3:
A = ∫[π/3, 5π/3] (1/2 (1 - cosθ)^2 - 1/2 cos^2θ) dθ
Simplifying the integrand, we get:
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/2cos^2θ) dθ
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/4(1 + cos2θ)) dθ
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/4cos2θ) dθ
Using the trigonometric identity cos2θ = 2cos^2θ - 1, we can simplify the integrand further:
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/8(2cos^2θ - 1)) dθ
A = ∫[π/3, 5π/3] (11/8 - 1/16cos^2θ - cosθ/2) dθ
Integrating with respect to θ, we get:
A = [11/8θ - 1/48sin2θ - 1/2sinθ] [π/3, 5π/3]
A = (11/4π - √3/8 - 1/2) - (11/12π + √3/24 - 1/2)
A = √3 - π/3
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cada pregunta y complete con V si considera que la aseveración es verdadera y una F si considera que es falsa (15 puntos total)(1 punto c/u)
1 ___ Al resolver un sistema de ecuación lineal 2X2 se obtiene siempre un punto de intersección entre las dos ecuaciones lineales.
2 ____ Existe solo un método para resolver sistema de ecuaciones lineales 2x2.
3 ____ Un sistema de ecuaciones lineales 2x2 puede tener infinitas soluciones.
4 _____ Los sistemas de ecuaciones líneas se pueden resolver utilizando el método de igualación.
5 _____ El método de reducción consiste en despejar en una de las dos ecuaciones una de las tres incógnitas y sustituirla en la nueva ecuación.
6 _____ Al aplicar una homotecia en el plano cartesiano la figura solo aumenta o disminuye de tamaño.
7 _____ Al aplicar homotecia a una figura esta mantiene su forma.
8 _____ Las tablas de doble entrada nos permiten organizar la información.
9 _____ Las potencias sirven para escribir una multiplicación formada por varios números iguales de una manera más simplificada.
10 _____ La representación grafica de una función cuadrática es una parábola.
11 _____ La concavidad de una parábola lo determina el término independiente.
12 _____ El eje de simetría es una línea recta horizontal que divide a la parábola en dos.
13 _____ En probabilidades el espacio muestra corresponde a todas las posibles soluciones.
14 _____En probabilidades dos eventos son independientes ya que la realización de uno no afecta la probabilidad del otro.
15 _____ En la función cuadrática las soluciones son siempre dos soluciones distintas.
Answers
Answer:
sey
Step-by-step explanation:
Step-by-step explanation:
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
Will there ever be an
age, other than 14 and
7, where Pedro is twice
as old as his brother?
Explain.
Answers
Answer:
No
Step-by-step explanation:
They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.
Hi!
Your answer is No.
This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for
a + 7 = 2a
('a' is Pedro's brother's age)
Now, if we subtract a from both sides in the top equation, we get:
7 = a
There is only one solution to this equation.
On a coordinate plane, circle has its center at the point (3, −6). The point (−1, −2) is on circle .
Which of these statements are correct? Choose ALL that are correct.
Responses
The line = − 1 is tangent to circle at P
The line = − 1 is tangent to circle at P
The area of the circle is 32 square units
The area of the circle is 32 square units
The radius of the circle is 4√2
The radius of the circle is 4√2
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The point (4, −0.5) is on the circle.
The point (4, −0.5) is on the circle.
The equation of the circle is ( − 3)² + ( + 6)² = 32
Answers
We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct options.
Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.
Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.
This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct options.
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Identify each part in the expression below. will give brainliest
Answers
Answer:
smalls
Step-by-step explanation:
Please help me! Here is screenshot attached
Answers
Answer:
x = 2
Step-by-step explanation:
hope that helps....
In a survey of 295 people , 23% said they live in an apartment, about how many people surveyed live in an apartment?
Answers
Answer:
67.85%
Step-by-step explanation:
Find 23% of 295.
Hope this helps u :)
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
\((-\infty,3)\)Find the value of each of the following polynomial:
Answers
Answer:
Step-by-step explanation:
( i )
\(p(x) = 4x^2 -3x + 7\\\\p(1) = 4(1)^2 - 3(1) + 7 = 4 - 3 + 7 = 1 + 7 = 8\)
( ii)
\(q(y) = 2y ^3 -4y + \sqrt{11}\\\\q(1) = 2( 1)^3 - 4(1) + \sqrt{11} = 2 - 4 + \sqrt{11} = -2 + \sqrt{11}\)
(iii)
\(r(t) = 4t^4 + 3t^3 -t^2+6\\\\r(p) = 4(p)^4 + 3(p)^3 - (p)^2 + 6= 4p^4 + 3p^3 -p^2 + 6\)
(iv)
\(s(z) = z^3 -1\\s(1) = (1)^3 -1 = 1 - 1 = 0\)
(v)
\(p(x) = 3x^2+5x-7 \\\\p(1) = 3(1)^2 + 5(1) - 7 = 3 + 5 - 7 = 8 - 7 = 1\)
(vi)
\(q(z) =5z^3 -4z +\sqrt{2}\\\\q(2) = 5(2)^3 - 4(2) \sqrt2 = (5 \times 8) - ( 4 \times 2) + \sqrt 2 = 40 - 8 + \sqrt 2 = 32 + \sqrt2\)
Mary is making a birthday cake to surprise her mom. She needs 3 1/2 cups of flour, but she only has 1/3 cup. How much more flour does she need?
Answers
Answer:
3 1/6 cups more
Step-by-step explanation:
Answer:
3 1/2 = 7/2 (write as a mixed number)
7/2 - 1/3 = ?( you need more flour, so subtract what you have from what you need. to subtract you need to find the least common denominator)
21/6 - 2/6
19/6 cups of flour is what you need.
or 3 1/6 cup if it needs to be converted back into a mixed fraction
Step-by-step explanation:
A. 50
B. 65
C. 115
D. 55
Answers
Answer:
C. 115 degrees
Step-by-step explanation:
Angles 6 and 8 are the same so they both have the same degrees
What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)?
O A. (-1,-1)
O B. (-2,-2)
O C. (-1,-2)
OD. (-2,-1)
please help
Answers
Answer:
(-1,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
(1+-3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(-6+4)/2 = -2/2 = -1
(-1,-1)
WILL MARK BRAINLIEST!!
solve for all values of x.
pls show some work (not all is necessary, but appreciated)
if both problems are done, i’ll mark you the brainliest:)
and i hope you have an amazing day
Answers
Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2
Plug back in to check
15/10 = 1.5
18-7.2/7.2 = 10.8/7.2 = 1.5 :)
The sum of the measures of the angles of a triangle is 180. The sum of the measures of
the second and third angles is five times the measure of the first angle. The third angle
is 26 more than the second. Let x, y, and z represent the measures of the first, second,
and third angles, respectively. Find the measures of the three angles.
Answers
The measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
What is Iinear equatiοn?A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.
We can use the infοrmatiοn given in the prοbIem tο fοrm a system οf three equatiοns with three variabIes. Let x, y, and z represent the measures οf the first, secοnd, and third angIes, respectiveIy.
Frοm the first piece οf infοrmatiοn, we knοw that: x + y + z = 180
Frοm the secοnd piece οf infοrmatiοn, we knοw that: y + z = 5x
Frοm the third piece οf infοrmatiοn, we knοw that: z = y + 26
We can substitute the third equatiοn intο the secοnd equatiοn tο eIiminate z:
y + (y + 26) = 5x
2y + 26 = 5x
2y = 5x - 26
y = (5x - 26)/2
We can substitute this expressiοn fοr y intο the first equatiοn tο eIiminate y and z:
x + (5x - 26)/2 + (5x - 26)/2 + 26 = 180
2x + 5x - 26 + 26 = 360
7x = 360
x = 51.43
We can substitute this vaIue οf x back intο the expressiοn fοr y tο find y:
y = (5x - 26)/2
y = (5(51.43) - 26)/2
y = 92.85
FinaIIy, we can use the equatiοn z = y + 26 tο find z:
z = y + 26
z = 92.85 + 26
z = 118.85
Therefοre, the measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
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If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y
Answers
Answer:
i) 3/8
ii) -2
Step-by-step explanation:
i) 1/2*3/2/(1/2+3/2)
3/4/2
3/4*1/2
3/8.
ii) 1/2+3/2 / 1/3-3/2
2/-1
-2.
Hope this helps :)
which units have a rate of 3 choose all that apply
Answers
The ratios with a rate of 3 are;-
2. 2 1/2 cups ; 5/6 cups
3. 2 cups ; 2/3 cups
6. 15/2 cups ; 2 1/2 cups
Given,
The ratios;
2/3 cups ; 1 cups2 1/2 cups ; 5/6 cups2 cups ; 2/3 cups1 cup ; 1/4 cups3 3/4 cups ; 2 cups15/2 cups ; 2 1/2 cupsWe have to find the ratios with a rate of 3.
Lets see;-
2/3 cups ; 1 cups2/3 ; 1
2 ; 1 x 3
2 ; 3
This doesn't have a rate of 3.
2. 2 1/2 cups ; 5/6 cups
2 1/2 ; 5/6
5/2 ; 5/6
5 x 6 ; 5 x 2
30 ; 10
3 ; 1
This is a ratio with a rate of 3.
3. 2 cups ; 2/3 cups
2 ; 2/3
2 x 3 ; 2
6 ; 2
3 ; 1
This is a ratio with a rate of 3.
4. 1 cup ; 1/4 cups
1 ; 1/4
1 x 4 ; 1
4 ; 1
This doesn't have a rate of 3.
5. 3 3/4 cups ; 2 cups
3 3/4 ; 2
15/4 ; 2
15 ; 2 x 4
15 ; 8
This doesn't have a rate of 3
6. 15/2 cups ; 2 1/2 cups
15/2 ; 2 1/2
15/2 ; 5/2
15 x 2 ; 5 x 2
30 ; 10
3 ; 1
This is a ratio with a rate of 3.
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What is 109 times 15?.. but then u divide it by 25 then lastly add it to 555!! Could someone answer that for Meh?...
Answers
hope this helps you
Answer:
620.4
Step-by-step explanation:
To solve this problem:
Lets use the associative and distributive property
(109 x 15 ÷ 25) + 555
/ \
1,635 ÷ 25
= 65.4
65.4 + 555 = 620.4
x=620.4
120 coins what is the ratio if 2/6 is nickels and 2/6 are dimes and the rest is quarters. What is the ratio of nickels to dimes to quarters?
Answers
Hi there!
If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.
The total of of all together is also 6:6 and 6:6 is also 120 coins.
120 divide by 3 different kinds of coins are 40.
This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...
Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...
pls help i dont know the answer to this
Answers
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = 3x² - 7x-3
g(x) = -4x - 10
Answers
The value of the composite function (f o g)(3) is 1603
How to evaluate the composite function?The functions are given as
f(x) = 3x² - 7x - 3
g(x) = -4x - 10
Next, calculate (f o g)(x) using
(f o g)(x) = f(g(x))
So, we have
(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3
Substitute 3 for x.
So, we have
(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3
Evaluate
(f o g)(3) = 1603
Hence, the value of the composite function (f o g)(3) is 1603
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PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
Answers
sec(theta) = 1/cos(theta)
I believe that is your option D
if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs
Answers
Answer:
12 people are need to walk 24 dogs
Step-by-step explanation:
12/2=6
24/2=12
Answer:
12 people can walk 24 dogs.
Step-by-step explanation:
Given information,
→ 6 people can walk 12 dogs.
→ People required for 24 dogs = ?
Let us assume that,
→ Missing value = p
Forming the equation,
→ 6/12 = p/24
Then the value of p will be,
→ 6/12 = p/24
→ p/24 = 6/12
→ p × 12 = 6 × 24
→ 12p = 144
→ p = 144/12
→ [ p = 12 ]
Hence, the value of p is 12.
Type of graph that shows a fun and interesting way to show data but it is not very accurate
Answers
Answer:
a pie chart diowjdjwoaojrpemMgdla
What is the volume of the object?
Two rectangular prisms are side by side. The dimensions of the larger rectangular prism are 8 c-m, 6 c-m, and 13 c-m and the dimensions of the smaller rectangular prism are 3 c-m, 4 c-m, and 7 c-m.
A
41cm3
B
526cm3
C
708cm3
D
52,416cm3
Answers
The total volume is the one in option C, 708 cubic centimeters.
What is the volume of the object?We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.
Then the volume of the first prism is:
V = 8cm*6cm*13cm = 624 cm³
And the volume of the second prism is:
v' = 3cm*4cm*7cm = 84 cm³
Adding that we will get:
total volume = 624 cm³+ 84 cm³ = 708 cm³
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