To determine how many hours, it will take Roger to hike a 6 1/4-mile-long trail, we can divide the total distance of the trail by his average speed of 2 1/2 miles per hour. The resulting quotient will give us the number of hours required for Roger to complete the hike.
Roger's average speed is given as 2 1/2 miles per hour. To convert this mixed number to an improper fraction, we have 2 1/2 = 5/2 miles per hour.
To calculate the time, it will take Roger to hike the trail, we divide the total distance of the trail, which is 6 1/4 miles, by his average speed:
Time = Distance / Speed
Distance = 6 1/4 miles = 25/4 miles
Speed = 5/2 miles per hour
Time = (25/4) / (5/2)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Time = (25/4) * (2/5)
Simplifying the multiplication, we get:
Time = (25 * 2) / (4 * 5) = 50/20 = 5/2 = 2 1/2 hours.
Therefore, it will take Roger approximately 2 1/2 hours to hike the 6 1/4-mile-long trail.
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pls help i will give brainliest and 5 stars
Answer:
Answer is the fee at bank L will be the same as P when the checking fee is 600.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
if a pack of 50 pencils cost $5.45 how much does a single pencil cost
If a pack of 50 pencils cost $5.45 then a single pencil costs $0.109.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of a pack of 50 pencils = $5.45.
To find the cost of one pencil,
Use ratio property,
50 pencil costs = $5.45
1 pencil costs = 5.45 / 50 = $0.109
Cost of one pencil is $0.109.
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Carlos drove 1,064 miles on his vacation. He drove a total of 20 hours. What is the average number of miles Carlos drove each hour? Group of answer choices
The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.
In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.
How can the the largest of the consecutive numbers be calculated?Given that sum of two consecutive numbers is 25 , ans we were required to locatye the largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:
x + (x+1) = 25
Simplifying the left side of the equation:
2x + 1 = 25
2x = 24
Dividing both sides by 2:
x = 12
So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.
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If Roger ran 5 miles in 150 minutes, Ryan ran 10 miles in 300 miles, and Rick ran 5 miles in 2 and ½ hours, who had the best rate of running(fastest time)?
Answer:
All three have same rate of running.
Step-by-step explanation:
Given that:
Distance covered by Roger = 150 minutes
Time taken by Roger = 5 miles
Distance covered by Ryan = 300 minutes
Time taken by Ryan = 10 miles
Distance covered by Rick = 2\(\frac{1}{2}\) hours
Time taken by Rick = 2 miles
To find:
Who has the fastest rate of running?
Solution:
First of all, we need to convert the time in hours and then we need to apply the formula for relation between Speed, time and distance.
Then we can compare the Speed.
60 minutes = 1 hour
150 minutes = \(\frac{1}{60} \times 150 = 2.5\ hours\)
300 minutes = 5 hours
Formula for Speed:
\(Speed = \dfrac{Distance}{Time}\)
Rate of running (speed) of Roger = \(\frac{5}{2.5}\) = 2 miles/hr
Rate of running (speed) of Ryan = \(\frac{10}{5}\) = 2 miles/hr
Rate of running (speed) of Rick = \(\frac{5}{2.5}\) = 2 miles/hr
Therefore, All three have same rate of running.
Gale sells 16 bags of cherries at the farmers market. Each bag weighs 1.8 pounds. How many pounds of cherries does Gale sell in all?
Number of bags= 16
Bag weight= 1.8 pounds
Then, number of pounds is
= 16x 1.8 = 28.8 pounds of cherries
List the term(s) in the following expression:
2x² - 5xy +8p*
A.
B. 2,4
C. x, xy, y
D. 2x².-5xy, 8y
2, -5,8
Answer: D.
Step-by-step explanation:
a square has side length of 7.3 in . if the area is multiplied by 19 , what happens to the perimeter?
The new perimeter is 127.2 inches if it is multiplied by 19.
What do you mean by the are and perimeter of the square ?
The area of a square is calculated by squaring the length of one of its sides. If the area of a square is multiplied by a factor, the length of the sides will be multiplied by the square root of that factor. One way to express the concept of perimeter for a square is to state that it is the total distance around the outer boundary of the shape, which is equal to the sum of the lengths of all four sides.
Determining the the value of perimeter :
The area of the square is \(7.3 \times 7.3 = 53.29\) square inches.
If this area is multiplied by 19, the new area will be 1012.51 square inches.
To find the new side length of the square, we take the square root of the new area:
\(\sqrt{1012.51} = 31.8\) (rounded to one decimal place)
Therefore, the new side length of the square is 31.8 inches.
To find the new perimeter, we multiply the new side length by 4:
\(31.8 \times 4 = 127.2\)inches
So the new perimeter is 127.2 inches.
To summarize, when the area of the square with side length 7.3 inches is multiplied by 19, the perimeter is multiplied by the square root of 19, which is approximately 4.36. The new perimeter is 127.2 inches.
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WILL GIVE BRAINIEST What is the solution set to log(x+4) < log6 x
It is B.
the question is so tough
The table represents an exponential function. What is the multiplicative rate of change of the function? X, 1,2,3,4 Y, 6,4,8/3,16/9
whoever answers it i will mark brainlist (:
Answer:
Step-by-step explanation:
You want this to be anything? It can be in any discipline?
1. There is a novel of 20000 pages that has been published. That's unlikely, but it is possible.
2. The temperature could be +30 degrees celcius in Northern Canada (today: Nov. 1).
3. The earth could stop and begin to rotate clockwise.
4. I could time travel to save John F. Kennedy.
5. Sherlock Holmes could fail to solve a mystery.
Which ordered pair is a solution and f the equation? y-3=5(x-2)
Answer:
135=
3=5−10
Step-by-step explanation:
im not good at this but my mom said to try so i its not right
Conchita starts a savings account. She deposits $100 from her parents. After that, she
deposits $10 each month. Write an algebraic expression to give the amount of money she
has saved after m months.
Answer:
$100 + $10m
Step-by-step explanation:
A = Account Balance = 100
After M months
A = $100 + $10m
FIRST TO ANSWER WILL BE MARKED AS BRAINLIEST
Answer:
m = 55
p=45
n = 135
Step-by-step explanation:
180 - 55 - 80 = 45
p = 45
55 = m
because ED and BC are parallel lines
80 + 55 = n
n = 135
The answer to the measure include the following:
m = 55p=45n = 135What is a Triangle?This is referred to a polygon which consists of three edges and three vertices.
m=55 (alternate angle)
The sum of angles in a triangle is 180
Therefore 180 - 55 - 80 = 45
p = 45
Since 55 = m
ED and BC are parallel lines therefore:
80 + 55 = n
n = 135
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square $aime$ has sides of length 10 units. isosceles triangle $gem$ has base $\overline{em}$, and the area common to triangle $gem$ and square $aime$ is 80 square units. find the length of the altitude to $\overline{em}$ in triangle $gem$.
The length of the altitude to line segment $\overline{em}$ in triangle $gem$ is 16 units.
Let's denote the length of the altitude to line segment $\overline{em}$ in triangle $gem$ as $h$.
The area of a triangle is given by the formula:
Area = (base * height) / 2
The area common to triangle $gem$ and square $aime$ is 80 square units. Since the base of triangle $gem$ is $\overline{em}$, we have:
80 = (10 * h) / 2
160 = 10h
Solving for $h$, we have:
h = 160 / 10
h = 16
Therefore, the length of the altitude to line segment $\overline{em}$ in triangle $gem$ is 16 units.
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find f ( a ) , f ( a h ) , and the difference quotient for the function given below, where h ≠ 0 . f ( x ) = 8 x − 9
The difference quotient for the function is 8.
The function is given by:
f ( x ) = 8 x − 9, where h ≠ 0
To find f(a), substitute a for x in the function. So we have:
f ( a ) = 8 a − 9
To find f(a + h), substitute a + h for x in the function. So we have:
f ( a + h ) = 8 ( a + h ) − 9
The difference quotient can be found using the formula:
(f(a + h) - f(a))/h
Substituting the values found above, we have:
(8 ( a + h ) − 9 - (8 a − 9))/h
Expanding the brackets and simplifying, we have:
((8a + 8h) - 9 - 8a + 9)/h
= 8h/h
= 8
Therefore, the difference quotient for the function is 8.
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Line segment ON is perpendicular to line segment ML.
What is the length of chord ML?
A) 20 units
B) 24 units
C) 26 units
D) 30 units
Answer:
24 units
Step-by-step explanation:
OM = ON, so
OP= 13-8
That means OP is 5.
Using the Pythagorean Theorom to find MP:
5^2+b^2=13^2
25+b^2=169
b^2=169-25
b^2=144
B=12
This means MP =12. ML is twice as long as MP. 12x2=24
The answer is B. 24 units
3, 12 , 48 Whats the 11th term ??
Given:-
\(3,12,48,\ldots\)To find:-
The 11th term.
So observing the pattern its clear that the term is increasing by multiplying with 4. so we get the fourth term as,
\(48\times4=192\)So the fifth term is,
\(192\times4=768\)So the sixth term is,
\(768\times4=3072\)So the seventh term is,
\(3072\times4=12288\)So the eigthth term is,
\(12288\times4=49152\)So the ninth term is,
\(49152\times4=196608\)So the tenth term is,
\(196608\times4=786432\)So the eleventh term is,
\(786432\times4=3145728\)So the required 11th term is 3145728.
The candle maker makes a total of 45 orange candles. This is
30% of all the candles she made this week.
How many candles did the candle maker make this week?
candles
Answer:
150
Step-by-step explanation:
45........0.3
x ..........1 (same as 100%)
\( \frac{45}{x} = \frac{0.3}{1} \)
\(x = \frac{45}{0.3} \)
x = 450/3 = 150
:)
Use properties of operations to complete the equivalent expression. 5(y+9)=___y+___ 5(y+9)=nothingy+nothing
Answer:
5y+45
Step-by-step explanation:
can someone help? i have a quiz tomorrow and i'm lowkey lost.
10 and 13 are the measure of the values of x and y respectively
Solving angles in a parallelogramThe given diagram is a parallelogram with unknown values x an y.
Since the measure of sum of angles in a triangle is 180 degrees, hence we will take the measure of the angles in the triangle EFY to have:
70 + 7x - 5 + 45 = 180
110 + 7x = 180
7x = 180 - 110
7x = 70
x = 10
Similarly for the triangle EDY;
45 + 70 + 5y = 180
115 + 5y = 180
5y = 180 - 115
5y = 65
y = 13
Hence the measure of the values of x and y are 10 and 13 respectively
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Match each value of r to its scatterplot: Data 100 09 09 GRAPHA OP 8 3 40 8 0 100 Det 001 OH 0 GRAPH B OP 30 100 Duta 00 GRAPH C 爱 arch Data 100 80 60 OOO GRAPHD 20 0 0 20 40 80 100 Data 100 80 09 OOOOOOOOOOOOOOOO GRAPHE ON OZ 0 0 20 40 50 09 100 A [Choose B [ Choose -1 0.373 -0.908 0.881 -0.732 [ Choose C > D [ Choose E [Choose ]
Graphs and the correlation coefficients are mentioned below-
Graph{A} : 0.373Graph{B} : - 0.908Graph{C} : - 0.732Graph{D} : 0.881Graph{E} : - 1What is Scatter plot?
A scatter plot uses dots to represent values for two different numeric variables. There are three types of scatter plots or charts -
U-shapedlinear exponential.There are the three most important correlations as -
positive correlationnegative correlationno correlationGiven are the scatter plots and the associated correlation coefficient.
Correlation coefficient : it is a measure of linear correlation between two sets of data. Mathematically, we can write -\($r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}\)
r = correlation coefficient
\($x_{i}\) = values of the x-variable in a sample
\($\bar x\) = mean of the values of the x-variable
\($y_{i}\) = values of the y-variable in a sample
\(\bar y\) = mean of the values of the y-variable
The graph and their corresponding values of [r] are mentioned below -
Graph{A} : 0.373Graph{B} : - 0.908Graph{C} : - 0.732Graph{D} : 0.881Graph{E} : - 1Therefore, graphs and the correlation coefficients are mentioned below-
Graph{A} : 0.373Graph{B} : - 0.908Graph{C} : - 0.732Graph{D} : 0.881Graph{E} : - 1To solve more questions on scatter plots, visit the link below-
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consider a distribution with parameter that has density let be independent random variables drawn from this distribution. does this distribution belong to the canonical exponential family?
In order to determine whether a distribution belongs to the exponential family, we need to know its probability density function (PDF) or probability mass function (PMF). The exponential family is a class of probability distributions that can be expressed in the form:
f(x|θ) = h(x) exp{θT T(x) - A(θ)}
where x is the random variable, θ is the vector of parameters, T(x) is a sufficient statistic, h(x) is a known function, and A(θ) is the log normalizer.
If the distribution you are considering can be expressed in this form, then it belongs to the exponential family. If it cannot be expressed in this form, then it does not belong to the exponential family.
It is also worth noting that the exponential family includes many commonly used distributions, such as the normal, gamma, Poisson, and Bernoulli distributions.
What expressions are variables and examples?A variable is a characteristic that may be measured and have a range of values. There are numerous factors, including height, age, money, birthplace province, academic rank, and type of housing. Variables can be grouped using categorical and numeric categories, respectively.
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4.- Lucrecia tiene S/.4,50 más que María; y María, S/.15,25 menos que César. Si César tiene S/.34,15;¿cuánto tienen entre Lucrecia y María juntas
Queremos encontrar y resolver un sistema de ecuaciones que nos permita saber cuanto dinero tienen Lucrecia y María juntas.
Veremos que la solución es: $42.30
Ahora veamos como resolverlo, primero definimos las variables:
L = Dinero que tiene Lucrecia.M = Dinero que tiene María.C = Dinero que tiene César.Sabemos que:
Lucrecia tiene $4.50 más que María, esto se puede escribir como:
L = M + $4.50
María tiene $15.25 menos que César, esto se escribe como:
M = C - $15.25
Y finalmente sabemos que C = $34.15
Entonces nuestro sistema es:
L = M + $4.50M = C - $15.25C = $34.15Para resolver esto comenzamos por reemplazar la ultima igualdad en la segunda ecuación, así obtendremos:
M = $34.15 - $15.25 = $18.90
Ahora que conocemos el valor de M, lo podemos reemplazar en la primer ecuación:
L = $18.90 + $4.50 = $23.40
Ahora que sabemos cuanto dinero tiene cada una, el dinero total que tienen juntas es:
L + M = $23.40 + $18.90 = $42.30
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Danny charges $30 for 3 hours of swimming lessons, Martin charges $44 for 4 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
danny has a better offer
QUESTION 8
In the figure to the right, AB is parallel to CD.
What is the value of m?
A. 7°
B. 44°
C. 46°
D. 49°
Answer: B. 44°
if i'm wrong then its C
in the following pseudocode which uses recursion to find the factorial of a number, which is the base case?factor(n - 1)n * factor(n - 1)n
The base case in the given pseudocode is factor(0).
The pseudocode is using recursion to find the factorial of a number. In each recursive call, the function is subtracting 1 from the given number (n - 1) and then multiplies it with the result of the recursive call for n - 1. The base case is the condition that stops the recursion and provides a result.
In this case, the base case is a factor(0). When the input number reaches 0, the recursion stops, and the function returns 1. This is because the factorial of 0 is defined as 1.
So, when the base case is reached, the recursion unwinds, and the factorial value is calculated by multiplying the current number (n) with the result of the previous recursive call (factor(n - 1)).
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What is the area of a triangle with a base of 9 in and a height of 15 in
Answer:
The answer is 67.5
Step-by-step explanation:
First you would find the product of and 15 which is 135 then divide by two and you get 67.5 hope this helped!
In Δ A B C, ∠C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. b=4.3, c=9.1
In a right triangle ΔABC, with ∠C as the right angle, you are given the lengths of side b and side c. Side b is 4.3 units long and side c is 9.1 units long. To find the remaining sides and angles,
we can use the Pythagorean theorem and trigonometric ratios. First, let's find side a using the Pythagorean theorem. According to the theorem,
a² = c² - b².
Substituting the given values, we have
a² = (9.1) ² - (4.3) ².
Calculating this, we get
a² = 82.81 - 18.49,
which simplifies to
a² = 64.32.
Next, we can find the remaining angles using trigonometric ratios. The sine ratio (sin) is defined as the ratio of the opposite side to the hypotenuse. In this case, sin(A) = a/c. Substituting the values, we have sin(A) = 8.0/9.1. Using a calculator, we find that sin(A) ≈ 0.879. Taking the inverse sine (sin⁻¹), we find that A ≈ 62.7 degrees.
we find that a ≈ 8.0 units.
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The remaining angles are approximately 49.2° and 61.5°.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. We are given that ∠C is a right angle, and we need to find the remaining sides and angles.
To find the missing side lengths, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Let's call the length of side a, the side opposite angle A. Using the Pythagorean theorem, we can write:
a^2 = b^2 + c^2
Substituting the given values, we get:
a^2 = (4.3)^2 + (9.1)^2
a^2 = 18.49 + 82.81
a^2 = 101.3
Taking the square root of both sides, we find:
a ≈ 10.1
So, the length of side a is approximately 10.1.
To find the remaining angles, we can use the trigonometric functions. Since we know two sides, we can use the sine and cosine ratios.
sin(A) = a / c
cos(A) = b / c
Substituting the given values, we get:
sin(A) = 10.1 / 9.1 ≈ 1.109
A ≈ arcsin(1.109) ≈ 49.2°
cos(A) = 4.3 / 9.1 ≈ 0.473
A ≈ arccos(0.473) ≈ 61.5°
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