Answer:
150 mi
Step-by-step explanation:
60 mi × 2.5 hr = 150 mi
Answer:
150 miles
Step-by-step explanation:
60 mi/hr for 2.5 hours
60 x 2.5
The train traveled for 150 miles
please help asap! will give 20 points
Answer: 388 m3
I hope that is correct.
Step-by-step explanation:
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
find the the ratio write the answer as a fraction and as a decimal rounded to four decimal places.
Answer:
7 degrees
Step-by-step explanation:
It has a right angle and it's a triangle so the angle is a complementary angle so the total for the angle is 90 degrees.
So then you add 39 + 44 and get 83
So, 90 - 83 +7
So your total is 7 degrees
y=4x+2=y=2x+-8 what is the value of x
Answer:
x=-5
Step-by-step explanation:
since the y's cancel out, set the first equation equal to the second and solve like you'd normally do.
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
for such more question on length
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Let f (x) = 2x² - 8.
The quadratic functiong (x) is ƒ (x) translated 2 units down.
What is the equation for g (x) in simplest from?
Enter your answer by filling in the box.
g(x) =
Answer:
\(g(x)=2x^2-10\)
Step-by-step explanation:
The function f(x) is given by
\(f (x) = 2x^2 - 8\)
The quadratic function g(x) is obtained by translating f(x) 2 units down.
We use the below rule to find the equation for g (x)
Rule:- If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c
Here, f(x) is translated 2 units down to obtain g(x).
Hence, we have
\(g(x)=f(x)-2\)
\(g(x)=2x^2-8-2\)
\(g(x)=2x^2-10\)
What is 2x2 + 1000 x 1000
Answer: 2x2 + 1000 x 1000 = 1000004
Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also
Answer:
1000004
Step-by-step explanation:
First we do can separate it into the parentheses: (2*2) + (1000*1000)
= 4 + 1000000
= 1000004
simplify (3^6 ÷ 3^8) × 3^-5
FAST PLSSSSS
Answer:
0.00045724737
Answer:
1/2187
Step-by-step explanation:
3^6 = 729
3^8=6561
3^-5=1/3^5 = 1/243
(729 ÷ 6561) * 1/243
1/9*1/243
= 1/2187
Hopefully this is right. If it's wrong please correct me!
1. Mr. C has a square soccer field. The length of the soccer field is 18 feet.
What is the area of the soccer field:,
What is the perimeter of the soccer field
Answer:
Area = 324ft²
Perimeter = 72ft
Step-by-step explanation:
Area of a square = length²
Area of a square = (18ft)² = 324ft²
Perimeter of a square = 4*length
Perimeter of a square = 4ft*18 = 72ft
1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?
Answer:
320 kilometers
Step-by-step explanation:
1/2 -- (60 * 2) = 120 km
rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km
Therefore, 120 + 200 = 320 km
Thenks and mark me brainliest :)
(Elimination Strategies) Which of these strategies would eliminate a variable in the system of equations? x - 2y = 115x + 3y = -11Choose all that apply : A) Add the equations B) Multiply the top equation by 5 , then add the equations . C) Multiply the top equation by -5, then add the equations .
As we can see the only one is the option C
-5*(x-2y=11)=-5x+10y=-55
5x+3y=-11
then we add the equations
13y=-66
y=-66/13=-5.07
as we can see C is the correct answer
What is the sum of the fractions? 3/8 + 1/6
Answer:13/24
Step-by-step explanation:
Answer:
26/48 is the answer
Step-by-step explanation:
Because 3/8 equals 18/48 and 1/6 equals 8/48 so add 18/48 + 8/48 to get 26/48.
There are 6 acts in a talent show.
An acrobat, a dancer, a guitarist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 6 acts.
Compute the probability of each of the following events.
Event A: The acrobat is first, the singer is second, the violinist is third, and the whistler is fourth.
Event B: The first four acts are the whistler, the acrobat, the guitarist, and the dancer, In any order.
Write your answers as fractions in simplest form.
P(A) =
P (B) =
The probability of Event A is 1/360 and the probability of Event B is 1/15.
For Event A, we can calculate the probability by considering the order in which the acts are scheduled.
There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.
Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.
Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.
Therefore, the total number of possible ways to schedule all 6 acts is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.
There are 2 remaining acts, so there are 2 possible choices for the fifth act.
Only one act remains for the last slot.
Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:
1 x 1 x 1 x 1 x 2 x 1 = 2
Thus, the probability of Event A is:
P(A) = 2/720 = 1/360
For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.
There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.
Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.
Therefore, the total number of possible ways to schedule the first four acts is:
4 x 3 x 2 x 1 = 24
Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.
Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:
24 x 2 = 48
Thus, the probability of Event B is:
P(B) = 48/720 = 1/15
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66 out of the 75 employees at the water slides are temporary employees what percentage of the employees at the water slides are temporary
The percentage of the employees at the water slides are temporary is 88%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
To find the percentage of the employees that are temporary
66/75 x 100/1
=88%
Hence, 88% is the percentage of the employees at the water slides are temporary
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the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
Periodical cicada species emerge in large
numbers from their larval stage at different
yearly intervals. What is the GCF of the years?
The GCF of numbers is the greatest common factors between the numbers
The GCF of the years is 1
How to determine the GCFThe intervals are given as: 13 years and 17 years
Factor both intervals (i.e. 13 and 17)
13 = 1 * 13
17 = 1 * 17
The common factor between both products is 1
So, we have:
GCF = 1
Hence, the GCF of the years is 1
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help me plsss <333333333333 and tyyyyyy <33333 :)
Value of variable x in the equation is 2.
Define equationIn mathematics, an equation is a statement that two expressions are equivalent. It comprises of two sides with a phrase on each, usually divided by an equal symbol (=). An equation declares that for some or all of the values of the variables in the equation, the two expressions have the same value. Equations can include one or more variables and can be either linear or nonlinear. Finding the values of the variables that make the equation true is the first step in solving an equation.
Given equation
3(x+6)=24
Dividing the terms by 3, we get
x+6=8
x=8-6
x=2
Hence, value of variable x in the equation is 2.
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The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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!!!HELP PLS!!
Sam wants to attend a 2-year technical college that charges about $3,200 a year. His grandparents said they will
give him half the cost of the tuition each year. Sam wants to save money while working at his summer job for
the next five years. How much money will he have to save each summer to have enough money for his first
year's college tuition?
Answer:
$320
Step-by-step explanation:
Given parameters:
Cost of attending the 2-year technical college = $3200;
His parents intend to give him half the cost;
Half the cost = \(\frac{1}{2}\) x $3200 = $1600
The remaining cost = $3200 - $1600 = $1600
Sam has 5yrs to work every summer;
He must save: \(\frac{1600}{5}\) = $320 every summer for the next five years to afford his first year tuition
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
In the graph the Inefficient point of production is represented by the point A , option(a)Point A is correct .
The graph given in the question is for Skateboards vs Bikers.
we need to find the point which represents the Inefficient point of Production.
The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.
The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .
Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.
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What is the area of the triangle?
1 ft 1 in
5 in
1ft
A. 60 in ^2
B. 32.5 in^2
C. 30 in^2
D. 5 in ^2
The answer to the question would be D 5in^2
Answer:
yes
Step-by-step explanation:
brain
If you are surveying people about whether they like to swim, where are you more likely to get a random sample?
A) at a local supermarket
B) at a local beach
C) at a swimsuit store
D) outside a local swimming pool
Answer:
B) a local beach.
At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.
Step-by-step explanation:
Hope it helps! =D
What is the equation of the directrix?
The equation of the directrix is y = -5
How to determine the directrix equation?The equation is given as:
(x -1)^2 = 12(y + 2)
Express 12 as a product of 4 and 3
(x -1)^2 = 4 * 3(y + 2)
The parabola is represented as:
(x -h)^2 = 4p(y - k)
Where the directrix is
y = k - p
By comparison, we have:
k = -2 and p = 3
So, we have:
y = -2 - 3
Evaluate
y = -5
Hence, the equation of the directrix is y = -5
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The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.
The acceleration of the collar at point A is 5 ft/s^2.
A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:
N - 5 = 0
where N is the normal force. Solving for N, we get:
N = 5 lb
B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:
x = L - y = 3 - 0 = 3 ft
where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:
F = kx = 10 lb/ft × 3 ft = 30 lb
The weight of the collar is:
W = mg = 5 lb
where g is the acceleration due to gravity. The net force on the collar is therefore:
Fnet = F - W = 30 - 5 = 25 lb
Using Newton's second law, we can write:
Fnet = ma
where a is the acceleration of the collar. Solving for a, we get:
a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2
Therefore, the acceleration of the collar at point A is 5 ft/s^2.
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The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
Let A, B and C be subsets of the
Set U .Draw the venn diagram
of the following
(AUB)nC and (AnB)UC
(AnB)-C and (A-B)-C and
(A-(BUC))U(B-(AUC))
The Venn diagram based on the information is attached.
What is a Venn diagram?It should be noted that a Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things
For two sets X and Y, X∩Y is the set containing all the elements that are both in X and Y.
X∪Y is the set containing all the elements that are either in X or Y or both.
So, B∩C={c,g}
A∪(B∩C)={a,b,c,e,f,g}
The Venn diagram is below in which the shaded region represents A∪(B∩C),
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Let A={a,b,c,e,f},B={c,d,e,g} and C={b,c,f,g} be subsets of the set
U={a,b,c,d,e,f,g,h}.
Draw Venn diagrams to represent the following sets :
A∪(B∩C)
What is the relationship between the magic constant (the sum of each row) and the sum of all the numbers in the square? Why does this relationship make sense?
Let's say each row sums to 15
If we had 3 rows, then the total sum would be 3*15 = 45
If we added all of the values in the 3x3 magic square, then we'd get 45 as well.
This is one example showing that
sum of all values = (number of rows)*(magic constant)
You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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what is the value of x^2+4 for x=5
Answer:
25+4=29
thats your answer
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Answer:
29
Step-by-step explanation:
x^2+4
Let x= 5
5^2 +4
25+4
29
Which of the following would result in an integer?
a.) 110
b.) 92
c.) 100
d.) 60
Answer:
All choices are integers.
Step-by-step explanation:
All choices shown are integers.