1 miles = 63360 inches
1200 miles =?
Therefore,
\(\text{distance}=1200\times63360=76,032,000.0\text{ inches}\)Find the value of x in the given
right triangle.
37%
X
10
X= [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
x ≈ 8.0
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos37° = = ( multiply both sides by 10 )
10 × cos37° = x , thus
x ≈ 8.0 ( to the nearest tenth )
does this help? :D
if x = 1 and y = 1
Then the value of x-y + xy is
Answer:
xy together mean x times y which equals 1
x-y = 0
the the sum is 1
Step-by-step explanation:
1-1 + 1(1)
= 1
A cyclist cycles a distance of 44 miles in a time of 4 hours.
What is her average speed?
Answer:
11 miles an hour
Step-by-step explanation:
44 miles divided by 4 hours would equal 11 miles in one hour, meaning her average speed would be 11 miles an hour
Answer:
The average speed is 11
Step-by-step explanation:
You would have 44 on top and 4 on the bottom(44/4)
then you would divide the 4 by four and the 44 by four to get 11 miles an hour.
the inverse operation of squaring a number is finding the
Answer:
is finding the square root
The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.
When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.
The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.
The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.
For example, if you have the number 25 and you want to find its square root, you calculate:
√25 = 5
5 is the square root of 25 because when you square 5 (5^2), you get 25.
The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.
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Let f(x)=147+2e−0.6x.
What is f(3)?
The value of f(3) is 147.3306
How to evaluate the function?The function is given as:
\(f(x)=147+2e^{-0.6x\)
Substitute 3 for x
\(f(3)=147+2e^{-0.6*3\)
Evaluate the product
\(f(3)=147+2e^{-1.8\)
Evaluate the exponent
f(3)=147 + 2* 0.1653
Evaluate the sum
f(3) = 147.3306
Hence, the value of f(3) is 147.3306
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Matthew uses this scale model of a design he plans to paint on a wall. He uses the key 1 cm = 2.5 ft. One gallon of paint will cover 400 square feet of wall.
How many gallons of paint will Matthew use?
Enter your answer as decimal in the box.
Answer:The number of gallons of paint that will Kerrie is 658.73gal
Conversion rate
Given the conversion rate
1 cm = 0.5 ft
Square both sides
(1cm)² = (0.5ft)²
1cm² = 0.25ft²
If one gallon of paint will cover 400 square feet of wall,
x = 400ft²
Cross multiply
0.25x = 400
x = 400/0.25
x = 1600cm²
Since 1 gallon = 2.4289cm²
y = 1600cm²
2.4289y = 1600
y = 1600/2.4289
y = 658.73gal
Hence the number of gallons of paint that will Kerrie is 658.73gal
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Step-by-step explanation:
Answer:
The answer is 2.28125
Step-by-step:
Hello,Can you please help me with question#17 in the picture?Thank you
QUESTION 17
STEP - BY - STEP EXPLANATION
What to find?
a12
Given:
a1= -8 d=-2
Step 1
Recall the nth formula for calculating the nth term.
\(a_n=a_1+(n-1)d\)n= 12
Step 2
Substitute the values into the formula and simplify.
\(\begin{gathered} a_{12}=-8+(12-1)(-2) \\ \\ =-8+11(-2) \\ \\ =-8-22 \\ \\ =-30 \end{gathered}\)ANSWER
-30
a. Use p and q to write a rational function that models the fraction of total budget outlays spent on human resources x years after 1970.
The rational function that models the fraction of total budget outlays spent on human resources x years after 1970 is:
f(x) = p / (q + x)
Let p represent the fraction of total budget outlays spent on human resources in 1970.Let q represent the year in which the fraction of total budget outlays spent on human resources starts to decrease.
The denominator of the rational function is q + x because the fraction of total budget outlays spent on human resources is expected to decrease as time passes.
Therefore, the rational function that models the fraction of total budget outlays spent on human resources x years after 1970 is f(x) = p / (q + x).
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Alex buys 5 pounds of
fruit for $35. How much
does one pound of fruit
cost?
A closed rectangular box (top included) is to be constructed with a square base. The material for the top of the box costs $1 per square foot and the remaining sides are $2 per square foot. If the total cost of materials for one box is $36, find the dimensions of the box that will have the greatest volume.
The dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: h = (36 - x^2) / 8x = (√3)/2 feet
Let the length and width of the base be x, and let the height be h.
The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).
The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:
\(C(x,h) = x^2 + 8xh\)
We know that the total cost is $36, so we have:
\(x^2 + 8xh = 36\)
Solving for h, we get:
\(h = (36 - x^2) / 8x\)
The volume of the box is given by:
\(V(x,h) = x^2h\)
Substituting h in terms of x, we get:
\(V(x) = x^2 ((36 - x^2) / 8x)\)
Simplifying, we get:
\(V(x) = (1/8) x (36x - x^3)\)
To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:
\(V'(x) = (1/8) (36 - 3x^2) = 0\)
Solving for x, we get:
x = 2√3
Therefore, the dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet
The volume of the box is:
\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet
Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:
\(V''(x) = (1/8) (-6x) = -3x/4\)
At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.
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f(x)=3x+5 and g(x)=x^2
find g(3x)
Answer:
g(3x) = 9x²
Step-by-step explanation:
To evaluate g(3x) substitute x = 3x into g(x) , that is
g(3x) = (3x)² = 9x²
.Let
f(x) =
x^2 + 4 if x < 1
(x − 2)^2 if x ≥ 1
.(a) Find the following limits. (If an answer does not exist, enter DNE.)
lim x → 1− f(x) =
lim x → 1+ f(x) = ___. b) does lim x → 1 f(x) exist? O yes O no
The left-hand limit is 5, and the right-hand limit is 1. The limit of f(x) as x approaches 1 does not exist.
(a) How to find left-hand limit?To find the limits, let's evaluate the left-hand limit and the right-hand limit separately.
Left-hand limit:lim x → 1- f(x) = lim x → 1- (x²+ 4)Since x approaches 1 from the left side (values less than 1), we can use the expression f(x) = x² + 4.
Plugging in x = 1 into the expression gives us:
lim x → 1- f(x) = lim x → 1- (1² + 4)
= lim x → 1- (1 + 4)
= lim x → 1- (5)
= 5
(b) How to find Right-hand limit? Right-hand limit:lim x → 1+ f(x) = lim x → 1+ ((x - 2)²)
Since x approaches 1 from the right side (values greater than or equal to 1), we can use the expression f(x) = (x - 2)².
Plugging in x = 1 into the expression gives us:
lim x → 1+ f(x) = lim x → 1+ ((1 - 2)²)
= lim x → 1+ ((-1)²)
= lim x → 1+ (1)
= 1
(c) How does limit exist?To determine if the limit lim x → 1 f(x) exists, we need to compare the left-hand and right-hand limits. If they are equal, then the limit exists. Otherwise, the limit does not exist.
In this case, lim x → 1- f(x) = 5 and lim x → 1+ f(x) = 1. Since these limits are not equal, the limit lim x → 1 f(x) does not exist.
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Help plz
Will mark brainliest
Answer:
I think it is B) 4 because 2÷2= 0 that leaves x. 8÷2= 4. that means x= 4.
the attendance for a basketball team declined at a rate of 5% per game throughout a losing season. 15 games were played in the season and 23,500 people were at the first game. how many people were at game 7?
At Game 7, the attendance for the basketball team had declined by 5% x 6 games = 30% and This means that the attendance at Game 7 was 23,500 x (1 - 0.3) = 16,450 people.
The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. This means that for every game, the attendance dropped by 5% in comparison to the attendance of the game before it.
15 games were played in the season and 23,500 people were at the first game. To calculate the attendance at Game 7, we first need to calculate the total amount that the attendance had declined by by the 7th game.
This can be done by multiplying the rate of decline (5%) by the number of games that had passed (6 games). This gives us a total decline of 30%. We then need to calculate the attendance at Game 7 by subtracting the total decline from the initial attendance.
This can be done by multiplying the initial attendance (23,500) by (1 - 0.3), which gives us 16,450 people. Therefore, the attendance at Game 7 was 16,450 people.
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Austin determined that he has $13.50 in his piggy bank just in quarters and dimes. If q represents the number of quarters he has and d represents the number of dimes, which equation, written in standard form, represents this scenario? q + d = 13.50 0.10q + 0.25d = 13.50 5q + 2d = 270 2q + 5d = 270
Answer:
5q + 2d = 270
Step-by-step explanation:
right on edge .
Answer:
C:5q + 2d = 270 is your answer
Step-by-step explanation:
HELP!!!!!!!! I NEED THIS ANSWER ASAP
quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to form quadrilateral P′Q′R′S′, with P′ at (5, 3).
The type of transformation PQRS undergoes is a ________. If vertex Q is at (-4, -5), then vertex Q′ is at _______ .
1. 180 degree rotation about the origin, Translation 2 units right and 7 units up, reflection over the x-axis, reflection over the y-axis
2. (-4,-5) , (-4,5) , (4,5) , (5,-4)
Answer:
The type of transformation PQRS undergoes is a 180 degree rotation about the origin. If vertex Q is at (-4, -5), then vertex Q′ is at (4, 5).
Step-by-step explanation:
Mak owns a shoe store in a neighborhood with other shoe stores. Demand for the products she sells is probably _________________. (Select the best answer.) Question 5 options: Time-based Inelastic Need-based Elastic
Best answer for statement Mak owns a shoe store in a neighborhood with other shoe stores. Demand for products she sells is probably would be 'Need-based.'
'Need-based' implies that the demand for the products sold at Mak's shoe store is driven by customers' needs.
Rather than being highly influenced by factors such as time or price elasticity.
This suggests that customers in the neighborhood have a consistent and ongoing need for shoes, making the demand relatively stable.
In contrast, 'Time-based' demand would indicate that the demand for shoes varies significantly based on specific periods or seasons.
Such as increased demand during holidays or specific times of the year.
'Elastic' demand refers to a situation where the demand for a product is highly responsive to changes in price.
This means that a small change in price could significantly affect the quantity of shoes demanded by customers.
Considering the context of other shoe stores in the neighborhood,
It is reasonable to assume that the demand for shoes at Mak's store is primarily driven by customers' need for footwear.
Making it a need-based demand.
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look at the pic......................
Answer:
\(\frac{81}{1000}\)
Step-by-step explanation:
The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
B=1-29, -26, -23, 30}
(a) Find the cardinalities of A and B.
n(A) =
n (B) =
The cardinalities:
n(A) = 3
n (B) = 1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
A = {n ≥ -9 or n ≤ -3}
B = {1-29, -26, -23, 30}
B = {-28, -26, -23, 30}
The cardinalities:
n(A) = 3
n (B) = 1.
Therefore, n(A) = 3 and n (B) = 1.
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An insurance agent earns a base salary of 32,000 and commission of 3% of his sale he also receives an additional fee of 16.00
Answer:
EHEHEHEHEHEHEHEGRGEHEHE
Step-by-step explanation:
22,324
entral high school is competing against northern high school in a backgammon match. each school has $3$ players, and the contest rules require that each player play $2$ games against each of the other school's players. the match takes place in $6$ rounds, with $3$ games played simultaneously in each round. in how many different ways can the match be scheduled?
The match can be scheduled in 900 different ways.
Here, the number of players from each school = 3.
Let us assue that the players of the first school be A, B, and C.
And the players of the second school be X, Y, and Z.
Here, each player from the first school has to play twice with each player from the second school.
We can organize the schedule into six different rounds, i.e.,
R1 : AX BY CZ
R2 : AX BZ CY
R3 : AY BX CZ
R4 : AY BZ CX
R5 : AZ BX CY
R6 : AZ BY CX
So, the number of possible ways to do this would be : 6! = 720 ways.
Now, three rounds are played simultaneously in each round.
R1 : AX BZ CY
R2 : AX BZ CY
R3 : AY BX CZ
R4 : AY BX CZ
R5 : AZ BY CX
R6 : AZ BY CX
And R1 : AX BY CZ
R2 : AX BY CZ
R3 : AY BZ CX
R4 : AY BZ CX
R5 : AZ BX CY
R6 : AZ BX CY
The total number of possible ways for the second case would be twice of 6! / (2! 2! 2!), which is equal to 90+ 90 = 180.
Therefore, the total number of ways in which the match can be scheduled is 720 + 180 = 900.
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The complete question is:
central high school is competing against northern high school in a backgammon match. each school has three players, and the contest rules require that each player play two games against each of the other school's players. the match takes place in six rounds, with three games played simultaneously in each round. in how many different ways can the match be scheduled?
Can someone give me a hand, I need some help on this problem.
Answer:
Add the exponents
Step-by-step explanation:
grandma forgot how many raisins she put in a batch; you sample one loaf and count 40 raisins. how many do you estimate are in a batch? what is the the uncertainty in your estimate?
Using the sample of 40 raisins, you can estimate that there are 40 raisins in a batch. However, due to the uncertainty of the sample size, there is an element of uncertainty as to how many raisins there truly are in a batch.
Thus, the uncertainty of your estimate can range from slightly below 40 raisins to slightly above 40 raisins.
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1.
(04.02 MC)
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line.
Part A: What is the price of 1 pound of potatoes? Show your work. (8 points)
Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)
ANSWER QUICK
The price of 1 pound of potatoes is $0.75 and (8, 6) means that 8 pounds of potatoes costs $6
What is the price of 1 pound of potatoes?From the question, we have the following parameters that can be used in our computation:
Point = (4, 3)
Where
x = number of pounds of potatoes
y = cost
This means that
The price of 1 pound of potatoes = Cost/Number of pounds
So, we have
The price of 1 pound of potatoes = 3/4
Evaluate
The price of 1 pound of potatoes = 0.75
Interpret the ordered pair (8, 6) on the graphHere, we have
Point = (8, 6)
Recall that
x = number of pounds of potatoes
y = cost
So, it means that 8 pounds of potatoes costs $6
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what is the geometric mean of 3and 6
Answer:
The mean is 4.5
Step-by-step explanation:
u add the numbers and divide by how many numbers there are
Jimmy earned $117 this week by working 17 hours. He coached baseball for $6 per hour and worked at a gym for $9 per hour. How many hours did Jimmy work at each job?
Total earnings = $117
Total hours = 17
Earnings on each job:
Baseball coaching per hour = $6
Gym per hour = $9
So, we have to write an equation:
x= number of hours at baseball cocaching
y= number of hours working at the gym
The system of equations:
x+y= 17 (a)
6x+9y=117 (b)
Solve (a) for x:
x=17-y
Replace x on (b) and solve for y:
6(17-y)+9y=117
102-6y+9y=117
-6y+9y =117-102
3y= 15
y=15/3
y=5
Replace y on (a) ans solve for x:
x+5 = 17
x=17-5
x= 12
Hours worked at the gym (y)= 5
Hours worked at basesball (x)= 12
from a sample of 50 people who had a cold, the researcher assigned 25 people to take the supplement each day. the other 25 people were asked to drink water each day and were not given the supplement. the researcher recorded the number of days the cold lasted for each person. what are the experimental units of the study?
All of the study participants make up the experimental units.
What are experimental units?The object about which a researcher seeks to draw conclusions from the sample is known as the experimental unit. As a result, this is the entity that requires proper replication. The number of experimental units per group is the sample size.
From a sample of 50 people who had a cold, the researcher assigned 25 people to take the supplement each day. the other 25 people were asked to drink water each day and were not given the supplement. The researcher recorded the number of days the cold lasted for each person.
All of the study participants make up the experimental units.
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eight students got a B on the final test. Ig the ratio of the number of students who got an A to the number of students who got a B is y: x, how many students got an A? Write a formula that gives the number of students who get an A given x and y.
The ratio of students that got A to students that got B is an illustration of comparison
The number of students that got A in the test is 8y/x
How to determine the number of studentsThe ratio of the student is given as:
A : B = y : x
8 students got B in their final test.
So, the ratio becomes
A : 8 = y : x
Express the ratio as a fraction
\(\frac A8 = \frac yx\)
Multiply both sides by 8
\(A = \frac{8y}x\)
Hence, the number of students that got A in the test is 8y/x
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M is between points c and q. Cm =22 and cq =39. What is mq
Answer: mq = 17
Step-by-step explanation:
If cm is 22 and cq which is the whole distance, then subtract the distance of cm which is 22 from the distance of cq which is 39.
39 - 22 = 17