Answer: 49 hours
Step-by-step explanation:
Given : A road crew can repave [tex]\dfrac{1}{56}[/tex] miles of road each hour.
i.e. the rate of of repave = [tex]\dfrac{1}{56}[/tex] miles per hour.
Distance required to cover = [tex]\dfrac{7}{8}[/tex] miles.
The formula used here is :-
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{rate of repave}}[/tex]
i.e. [tex]\text{Time}=\dfrac{\dfrac{7}{8}}{\dfrac{1}{56}}[/tex]
i.e. [tex]\text{Time}=\dfrac{7}{8}\times56=7\times7=49[/tex]
Hence, it will take 49 hours to repave the road.
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√9 = 3
3 is a real number , a whole number , a rational number , an integer and a natural number ,
So last option is correct
Set of all natural numbers , set of all whole numbers , set of all integers, set of all rational numbers , set of all real numbers.
A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°90°. Is Charlene’s definition valid?
A.Yes, because no right triangles fit this definition.
B.No, because some scalene triangles fit this definition.
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
D.No, because not all acute triangles fit this definition.
Answer:
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
Step-by-step explanation:
The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compare to this number? The average rate of change from x = 0 to x = 20 is decreasing the average rate of change from x = 0 to x = 15.
Answer: The average rate of change from x = 0 to x = 20 is decreasing
✔ slower than
the average rate of change from x = 0 to x = 15.
Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?
-3.9
Step-by-step explanation:
So, the two answers are: Slower than, and -3.9
A bag contains 2 red marbles, 3 blue marbles, 4 yellow marbles, and 3 green marbles. In how many ways can choosing not yellow occur?
five cards are drawn from a standard deck of cards. each card is replaced after being drawn. what is the probability of the following event: p(3 and 3 and 3 and 2 and 2)?
General Idea:
If A and B are independent, then the probability that events A and B both occur is:
[tex] p(A\; and\; B) = p(A) \times p(B). [/tex]
In other words, the probability of A and B both occurring is the product of the probability of A and the probability of B
Applying the concept:
Five cards are drawn from a standard deck of cards. Each card is replaced after being drawn.
There are four 3's in a deck of card, four 2's in a deck of card. In a deck of card there are 52, so...
[tex] \\[tex] p(3\; and\; 3\; and\; 3 \; and \; 2 \; and\; 2)=\frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \\ \\ Multiply \; numerator \; with \; numerator \; and \; denominator \; with \; denominator\\ \\ \frac{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}{52 \cdot 52 \cdot 52 \cdot 52 \cdot 52} \\ \\ Cancel \; Common\; Factor\\ \\ \frac{1 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{13 \cdot 13 \cdot 13 \cdot 13 \cdot 13} =\frac{1}{13^5} =\frac{1}{371293} [/tex] \; =\; p(3) \times \; p(3) \times \; p(3) \times \; p(2) \times p(2) [/tex]
Veronica bought a purse for 25 off its full price. what was the full price of the purse if Veronica paid $35.85 before sales tax? A) $59.75 B) $47.80 C) $ 60.85 D) $36.10
B- $47.80 for apex that's what i got.
The full price of the purse is C) $60.85.
Explanation:The price at which the purse is bought = $25
The price paid = $35.85
To find the full price of the purse, we need to add the discount amount to the price Veronica paid.
Since she got $25 off, the discount amount is $25.
Therefore, the full price of the purse is
= $35.85 + $25
= $60.85.
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A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches, how many inches has the tire rolled if it has rotated exactly 10 times down the hill?
A) 180
B) 360
C) 36π
D) 360π
Answer:
Therefore ,(D) 360π inches.
Step-by-step explanation:
Given: A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches.
To find: How many inches has the tire rolled if it has rotated exactly 10 times down the hill.
Solution : We have given that diameter of tire = 36 inches.
Radius = [tex]\frac{Diameter}{2}[/tex]
Radius = [tex]\frac{36}{2}[/tex]
Radius = 18 inches.
Circumference of tire = 2 * π radius
Circumference of tire = 2 * π 18
= 36π
We need to rolled the tire 10 times down the hill
then, 10 * 36π = 360π inches.
Therefore ,(D) 360π inches.
140% of a number is 364. Find the number
The number whose 140% is 364 is 260.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number = M
140% of M = 364.
140/100 x M = 364
Solve for M.
M = 364 x 100 / 140
M = 260
Thus,
140% of 260 is 509.6.
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Help!!!!! Please!!!
Using the given xy-graph, find the equation of the given line E in slope-intercept form.
The equation of line E will be x = 8.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the diagram, line E is perpendicular to the x-axis and parallel to the y-axis.
The slope of the line which is parallel to the y-axis will be ∞. Then the equation of line E will be
y = ∞x + c
y = (1/0)x + c
0y = x + c
x + c = 0
From the graph, the value of the variable c will be negative 8.
Then the equation of line E will be x = 8.
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You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has a diameter of 3.5 inches. What is the volume of each cone? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answer:
the correct answer is 16 cubic inches
Step-by-step explanation:
Question 1(Multiple Choice Worth 1 points)
(05.02 LC)
Which equation does the graph below represent?
A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, 16 and 0, 0 and 4, negative 16.
y = fraction 1 over 4x
y = 4x
y = fraction negative 1 over 4x
y = −4x
Place the indicated product in the proper location on the grid. -4x 3 y 2 (7xy 4 )
Answer:
-28x^4y^6
Step-by-step explanation:
Given are two terms as
[tex]-4x^3y^2[/tex] and
[tex]7xy^4[/tex]
To find the product
we group like terms and find their product
Here we have -4 and 7 for coefficients : Product =-28
x terms are x^3 and x hence product = x^(1+3) =x^4
y terms are y^2 and y^4 hence product = y^(2+4) = y^6
Hence product is
[tex]-28x^4y^6[/tex]
TANYA HAS A DOG LEASH THAT IS 4 YARDS LONG SHE SHOORTENS THE LEASH BY 6 FEET. WHAT IS THE LENGTH OF THE SHORTENED LEASH
Answer:
Its 6 feet
Step-by-step explanation:
Given a collection of paired sample data, the ____________ algebraically describes the relationship between the two variables, x and y.
Final answer:
The linear equation describes the algebraic relationship between two variables in a paired sample data set, with the slope and y-intercept being key components of this equation.
Explanation:
Given a collection of paired sample data, the linear equation algebraically describes the relationship between the two variables, x and y. The most fundamental representation of a linear association is through a linear equation, which graphically manifests as a straight line in a scatter plot. Two commonly used forms of linear equations are y = mx + b and y = a + bx. The latter is frequently used in statistical contexts to differentiate from the algebraic context.
In these equations, m or b (when used as a coefficient) is known as the slope, indicating the rate of change or how much y changes as x changes. The y-intercept represented by a is the point at which the line crosses the y-axis, typically where x equals zero. A linear relationship between two variables is confirmed when a scatter plot of the pair shows points that approximate a straight line.
The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distribution, with mean of 6.1 hours and standard deviation of 1.0 hour. Let x represents a random medical resedent selected at the hospital. Find P(x < 5.3).
If your car gets 33 miles per gallon, how much does it cost to drive 370 miles when gasoline costs $2.80 per gallon?
a ladder leans against a wall and reaches a point 35 feet up the wall.The base of the ladder is 7 feet from the wall.To the nearest tenth of a foot, what is the length of the ladder
what is the solution to the following system?
5x+2y+z=4
x+2z=4
2x+y-z=-1
A. x = 0, y = 1, z = 2
B. x = 1, y = –1, z = 2
C. x = 1, y = 0, z = –1
D. x = 2, y = 1, z = 0
Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for $14 what is the price of one hat and one scarf
Which ordered pairs are solutions to the inequality x+3y≥−8?
Select each correct answer.
a. (−6, 0)
b. (0, −3)
c. (−5, −1)
d. (−16, 2)
e. (−1, −2)
You have five identical pieces of equipment. There is a 1 in 10 chance that each piece will fail in a year. What is the likelihood that NONE of the pieces fail during a year?
The probability that none of the five identical pieces of equipment will fail during a year is approximately 59.049%, calculated using the statistical independence of each piece's probability of not failing, which is 0.9, raised to the power of 5.
The question is asking for the probability that none of the five pieces of equipment fails within a year when there is a 1 in 10 chance of failure for each piece of equipment. To calculate this, we use the principle of statistical independence. If the chance that one piece of equipment does not fail is 9 in 10 (or 0.9), then the probability that all five do not fail is 0.9 raised to the power of 5.
Mathematically, this is calculated as:
[tex](0.9)^5[/tex]= 0.9 * 0.9 * 0.9 * 0.9 * 0.9
Performing the multiplication, the probability that none of the five pieces fail during a year is approximately 0.59049.
In conclusion, there is a 59.049% chance that none of the identical pieces of equipment will fail during a year, assuming that the failures are statistically independent events.
Order the set of numbers from least to greatest.
HELP PLEASE! Are the two triangles similar? How do you know?
Answer:
The two triangles are similar by AAA
Step-by-step explanation:
we know that
If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Remember that
The sum of the internal angles of a triangle must be equal to [tex]180\°[/tex]
so
In the triangle CDE
Find the measure of angle E
[tex]m<C+m<D+m<E=180\°[/tex]
substitute the values and solve for m<E
[tex]60\°+53\°+m<E=180\°[/tex]
[tex]m<E=180\°-(60\°+53\°)=67\°[/tex]
The measures of internal angles triangle CDE are [tex]60\°-53\°-67\°[/tex]
In the triangle FGH
Find the measure of angle G
[tex]m<F+m<G+m<H=180\°[/tex]
substitute the values and solve for m<G
[tex]60\°+m<G+67\°=180\°[/tex]
[tex]m<G=180\°-(60\°+67\°)=53\°[/tex]
The measures of internal angles triangle FGH are [tex]60\°-53\°-67\°[/tex]
therefore
The two triangles are similar by AAA
Which of the binomials below is a factor of this trinomial?
x2 - 3x - 10
A. x + 2
B. x - 2
C. x - 1
D. x + 1
The binomials below are a factor of this trinomial that will be x + 2. Option A is correct.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that, the expression is, x² - 3x - 10
Binomials in algebra are two-term expressions joined by a plus or minus sign, such as ax+b. While the second term might or might not, the first term always contains a variable.
A binomial can be solved or simplified for further work by factoring, which is the process of looking for simpler terms that, when multiplied together, produce the original binomial expression.
Thus, the binomials below are a factor of this trinomial that will be x + 2. Option A is correct.
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Which graph represents the function?
The resulting graph of the rational function is the Graph at the top right graph 2.
To depict the rational function f(x) = 2/(x - 1) + 3, we must consider its characteristics. The function has a vertical asymptote at x = 1 because the function is undefined at that point, and it has a horizontal asymptote at y = 3 due to the behavior of the function as x approaches infinity. The graph will approach these asymptotes but never cross them.
For values of x greater than 1, the function will decrease towards the horizontal asymptote because the (x - 1) in the denominator increases, which causes the value of f(x) to decrease.
However, because of the '+3' term in the function, the curve will approach y = 3 as x goes to infinity.
To graph this function, plot several points where x is not equal to 1, then draw the curve that passes through these points while approaching the respective asymptotes.
The portions of the graph should fall above the horizontal line y = 3 for x < 1 and approach y = 3 from below for x > 1.
Therefore, the resulting graph of the rational function is the Graph at the top right graph 2.
The probable question may be:
Which graph represent the rational function f(x)=2/x-1+3
Factor completely x^2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)
Answer: (x4-81) I searched it up..
Step-by-step explanation:
The length of a rectangle is 3 m longer than its width.
The area of the rectangle is 154m^2
What is the width of the rectangle?
___m
What is the solution of the square root of 3x+28-8=x (-8=x is not in the square root) any explanation and answer is appreciated!
The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to make small deposits for 5 years at a simple interest rate of 1.5% and save enough to pay for the first year at the college. 15 points!@!!
help me with this and I will give you brainly