The truck's displacements in the North-South and East-West directions are calculated separately. The final displacement is 5 blocks South and 12 blocks East.
Explanation:To solve this problem, we need to consider the truck's displacement in the North-South direction and the East-West direction separately.
Starting with the North-South direction, the truck moves 21 blocks North and then 26 blocks South. Thus, its total displacement in the North-South direction is 21 - 26 = -5 blocks. The negative sign indicates that the truck is 5 blocks South from its starting point.
Considering the East-West direction, the truck moves 12 blocks East. Therefore, its total displacement in the East-West direction is +12 blocks.
Overall, the displacement of the truck from the origin is 5 blocks South and 12 blocks East.
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TheValue of a stock begins at $0.05/and increase by 0.01 each month write an equation representing the value of the stock v in any months m
The linear equation can be represented as a straight line on a graph. The equation for the given case is v = 0.05 + 0.01m.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Given that,
The value of stock at the beginning is $0.05,
And, its rate of increase for each month is 0.01.
Suppose the value of stock be v and the month be m,
Then, the increment in its value for any month m is $0.01m.
Now, the equation for the value of stock v at any month m can be written by summing its initial value to its increment value obtained for each month as,
v = 0.05 + 0.01m.
Hence, the equation representing the value of the stock v in any months m is given as v = 0.05 + 0.01m.
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SOMEONE PLEASE HELP!
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound. Troy’s bag weighs 1.8 pounds and it cost $1.29.
A. 0.5 pounds of pretzels; 1.3 pounds of gumdrops
B. 0.9 pounds of pretzels; 0.9 pounds of gumdrops
C. 1.3 pounds of pretzels; 0.5 pounds of gumdrops
D. 0.8 pounds of pretzels; 1 pound of gumdrops
Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0
The difference quotient for the function f(x) = 7x - x² is (7h - h²) / h.
Explanation:The difference quotient is used to find the rate at which a function changes over a small interval. To find the difference quotient for the given function f(x) = 7x − x², we substitute f(7 + h) and f(7) into the formula: [f(7 + h) - f(7)] / h. Simplifying the expression, we get [(7(7 + h) - (7 + h)²) - (7(7) - 7²)] / h. Expanding and simplifying further, we have [(49 + 7h - h²) - (49 - 49)] / h, which becomes (7h - h²) / h.
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Which of these is correct?
A) 30,792 is greater than 31,875.
B) 31,875 is greater than 32,496.
C) 31,875 is greater than 30,792.
D) 32,496 is less than 31,875.
Suppose that there is a positive correlation between the variables k and I. If l is 75when k is 7, which of these is most likely to be the value of l when k is 14.
Answer:
l = 150
Step-by-step explanation:
The numbers k and have a positive correlation, to know the correlation between these two variables we have to use the values they give us:
When l = 75 the k = 7
The correlation between the two numbers is division. So this can be written as:
correlation: I = 75/7 k
So if we substitute k=14
l = 75/7 * 14
l = 150
We can also get this number by rule of three:
75/7 = x/14
75/7 *14 = l
1050/7 = l
150 = l
Joe sold 15 T-shirts for a total of $82.50.
What is the unit price?
Which line is perpendicular to 5x + 4y = 8?
A) 4y = –5x + 4
B) 5y = 4x + 5
C)5y = –4x –15
D)4y = 5x + 12
Solve p−|5|×|−3|=−20
Answer:
-5
Step-by-step explanation:
The solution of the equation p − |5| × |−3| = − 20 will be negative 5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute equation is given below.
p − |5| × |−3| = − 20
Simplify the equation, then we have
p − |5| × |−3| = − 20
p − 5 × 3 = − 20
p − 15 = −20
p = − 5
The solution of the equation p − |5| × |−3| = − 20 will be negative 5.
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Select a counter-example that makes the conclusion false.
You select three marbles from a bag and each of them is black.
Conclusion: All the marbles in the bag are black.
Counterexample:
A counterexample showing the conclusion 'All the marbles in the bag are black' as false.
A counterexample is a scenario where the premises are true but the conclusion is false, demonstrating the invalidity of an argument. In this case, to prove invalidity, a counterexample could be a situation where there is at least one marble in the bag that is not black. For instance, if there are three black marbles and one red marble inside the bag, the selection of three black marbles is still possible, but the conclusion that all marbles are black is false.
The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approximate ratio of the mass of the proton to the mass of the electron.
what would is be in fraction form 1/1833 or 1833/1
what is an equation for the number of $0.60 bagels that can be purchased with d dollars
Fred completen 10 math problems This is 40 percent of the number of math problems he has to do How many math problems must he do
Answer:
15 more/ 25 problems in total
Step-by-step explanation:
Find the next two terms in the sequence. 0,1,4,9. . . A.13,18 B,16,25 C.13,17 D.16,23
Answer:
16 & 25
Step-by-step explanation:
had the same question (;
5 x 2 x (-4) + 6 divided by 2
43
-37
-23
-17
What is the measure of each of the following angles? If m
List the members of these sets.
a.{x | x is a real number such that x2 = 1}
b.{x | x is a positive integer less than 12}
c.{x | x is the square of an integer and x < 100}
d.{x | x is an integer such that x2 = 2}
The sets are:
a) {-1, 1}b) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}c) {1, 4, 9, 16, 25, 36, 49, 64, 81}d) {∅}.How to find the elements of each set?
We need to find all the values of x that meet the given restrictions for each set.
a) Here we know that x is a real number and we must have:
x^2 = 1
Solving for x:
x = ±√1 = ±1
Then this set is:
{-1, 1}
b) Here x is a positive integer smaller than 12, this is just:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
c) In this case x is a square number, and it must be smaller than 100, so let's find all the square values smaller than 100.
1^2 = 12^2 = 43^2 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 649*9 = 8110*10 = 100 (from this onwards, the squares don't meet the criteria).Then this set is:
{1, 4, 9, 16, 25, 36, 49, 64, 81}
d) Here x must be an integer, such that x^2 = 2
Solving the equation we get:
x = ±√2
But √2 is an irrational number, so there is no integer number that meets this restriction, this means that we have an empty set, this is written as:
{∅}.
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Translate the sentence into an equation using n as the unknown number. Then solve the equation for n. Two times a number increased by 5 is 15. a. 2n(5) = 15 n = 1.5 c. 2n + 5 = 15 n = 20 b. 2n + 5=15 n = 5 d. n + 5 = 15 n = 10 Please select the best answer from the choices provided A B C D
A box measures 2 cm x 0.09 m x 20 mm. what is its volume in cubic centimeters?
Final answer:
To find the volume of the box, convert all dimensions to centimeters and then use the formula length x width x height. The volume is 36 cm³.
Explanation:
To calculate the volume of a rectangular box with dimensions in different units, we must first convert all dimensions to the same unit of measure. In this case, we will convert meters and millimeters to centimeters:
0.09 m = 0.09 * 100 cm = 9 cm
20 mm = 20 / 10 cm = 2 cm
Now we can calculate the volume using the formula for the volume of a rectangular box, which is length × width × height:
Volume = 2 cm × 9 cm × 2 cm = 36 cm³
Hugo’s friends bought used books at the yard sale Sonia paid 2.25 John paid 6.00 and Keisha paid 3.75 how many books did each friend buy
Answer:
Sonia , John and Keisha bought 3,8 and 5 books respectively.
Step-by-step explanation:
given ,
Sonia paid 2.25 to buy book in yard sale
John paid 6 to buy book in yard sale
Keisha paid 3.75 to buy book in yard sale
cost of 1 book is equal to 0.75 cent
books bought each of them will be equal to
Sonia = [tex]\dfrac{2.25}{0.75}[/tex] = 3 books
John = [tex]\dfrac{6}{0.75}[/tex] = 8 books
Keisha = [tex]\dfrac{3.75}{0.75}[/tex] = 5 books
Hence, Sonia , John and Keisha bought 3,8 and 5 books respectively.
During a sale at a bookstore, a customer buys one book at full price. The customer is given a 25 percent discount on a second book of equal or less value. If George buys two books that value full prices of $17 and $8, by what percent is the total cost of the two books reduced during the sale?
you have a bottle of water with a leak. after 2 seconds there is 28 ounces left in the bottle. after 6 seconds there are 20 ounces left in the bottle. how much water was in the bottle initially
Answer:
32!
Step-by-step explanation:
Write the expression(4x-2)·6(2x 7) in the standard form of a quadratic expression, ax² bx c what are the values of the couiffeciant?
How do you solve this 2 step equation: 8+b/-4=5
Solve for x.
−32>−5+9x
Enter your answer, as an inequality, in the box
The solution to the inequality -32 > -5 + 9x is x > -3.
To solve the inequality -32 > -5 + 9x, we'll isolate the variable x by first getting rid of the constant term (-5) on the right side.
1. Add 5 to both sides:
-32 + 5 > 9x
-27 > 9x
2. Divide both sides by 9 to solve for x:
-27/9 > x
-3 > x
Therefore, x is greater than -3. In interval notation, this can be written as (-∞, -3). In inequality notation, it's expressed as x > -3.
We started by isolating the variable x by adding 5 to both sides, then divided by 9 to solve for x. Remember, when dividing or multiplying by a negative number, the direction of the inequality sign flips. Thus, the final solution is x > -3.
What consecutive numbers have a sum of 133?
Find 3 solutions for 2x+y=10
.help me thanks much
Two consecutive integers have a sum of 81 . find the integers.
Solve each proportion. Show your work.
a . 2x/7 = 12/14
b. 3/x-1 = 5/7
Evaluate the expression. (26÷13)⋅(−7)+14−4 Enter your answer in the box
The value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 will be negative four.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4
Simplify the expression, then the value of the expression will be
⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4
⇒ (2) ⋅ (−7) + 14 − 4
⇒ −14 + 14 − 4
⇒ − 4
Then the value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 will be negative four.
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