Answer:
21 steps
Step-by-step explanation:
There are 9 prime numbers and 15 composite numbers between 2 and 25. So, a prime number would be 1 step forward, and a composite number would be 2 steps back.
[tex]1*9+(-2)*15=9-30=-21[/tex]
We then take the absolute value of -21 to get 21 as our answer.
Hope this helped! :)
1. Which of the following is a perfect cube. (A) 100 (B) 68600 (C) 343000 (D) 400
Answer: 68600
hope it helps!
The pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags. How much fabric is needed to make 1 flag?
It will take 0.05 yards of fabric to make one flag.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.
Assume that the total fabric needed is [x] yards. So -
(1.5 x 3) yards is needed to make 90 flags.
4.5 yards is need to make 90 flags.
1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.
Therefore, it will take 0.05 yards to make 1 flag.
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1. The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?
The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.
2. A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
3. An arithmetic sequence begins with 56, 59, 62, 65, 68, …
Which option below represents the formula for the sequence?
f(n) = 56 + 3(n − 1)
f(n) = 53 + 3(n − 1)
f(n) = 56 + 3(n)
f(n) = 53 + 3(n + 1)
4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.
r = 0.04
r = 0.14
r = 0.26
r = 0.40
Answer:
Answers below
Step-by-step explanation:
1. The value 550 represents the initial balance in the account, which means the account started with $550.
2. 528.28
425.00 x 2.7% x 9 = 103.275
Then we add 103.275 to the initial deposit of $425.00
425.00 + 103.275 = 528.275
Therefore the answer is $528.28
3. The answer for this one is f(n) = 56 + 3(n − 1)
So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex]
Therefore, its 56 + 3(n − 1)
4. For this one we solve for r and using a calculator its r = 0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
1) The given equation is 687.5=550(1+0.05t)
Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%
So, the value 550 represents the initial balance in the account, which means the account started with $550.
2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%
We know that, S.I=(P×T×R)/100
= (425×9×2.7)/100
= 103.275
Amount=103.275+425
= 528.275
≈ $528.28
3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…
Here, first term (a)=56 and common difference=59-56=3
We know that, general form of arithmetic sequence is aₙ=a+(n-1)d
Now, f(n)=56+(n-1)3
4) The given equation is 816=600(1+9r)
1+9r =816/600
1+9r =1.36
9r=0.36
r=0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
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At a football stadium, 4% of the fans in attendance were teenagers. If there were 170 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
4,250
Step-by-step explanation:
If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250
Therefore, the answer is 4,250
Answer:
Total number of people = 4,250
Step-by-step explanation:
4% of 4,250 = 170
Simplify each expression.
8x+13 - 3x + 9/1/2
Answer:5x+22
there you gooo
Answer:
5x+ 45/2
Step-by-step explanation:
Help help help help help
Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.
Why do we calculate net profit?Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).
Total Revenue - Total Expenses = Net Profit
A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.
The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).
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Coach Burgess drew a right triangle on the board. He said the hypotenuse was 13 inches and one of the legs was 5 inches. What is the length of the other leg? Round to the the tenths place
The length of the other leg is 12 inches.
What is the Pythagorean theorem?
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.
If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
We can use this theorem to write the equation:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:
c² = a² + b²
(13)² = a² + (5)²
169 = a²+ 25
144 = a^2
a = 12
Hence, the length of the other leg is 12 inches.
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Manish borrowed some amount from bank at 4% per annum compounding yearly He lent the whole amount on anish at 6% per annum compound interest compounded half yearly if at the end of the year Manish gained Rs 104.5 find the amount that he borrowed from the bank
Answer:
Below
Step-by-step explanation:
Amount borrowed = x
Amount owed to bank at end of 1 year = 1.04 x
Manish lent out x then the amount owed to him
at end of 1 year = x (1 + .06/2)^2 = 1.0609x
GAIN = 1.0609x - 1.04x = 104.5 solve for x = 5000. Rs
The amount that Manish borrowed from the bank is ₹5000.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
If borrowed is ₹100 compound interest is ₹104
So, interest to be paid is 4.
If the shopkeeper got ₹100 then 6 months interest is 3 and next 3 months interest is ₹3.09 so interest to be paid is ₹6.09
Difference 6.09-4=2.09
If ₹2.09 is the difference principle is ₹100
₹104.50 is the difference the principle = (100×104.50)/2.09
= ₹5000
Therefore, the amount that Manish borrowed from the bank is ₹5000.
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MAY I PLEASE HAVE HELP! I DONT UNDERSTAND!
Answer:
a. The population of the town in 2010 is 3476.
Step-by-step explanation:
This is an expontential model showing the growth or decay of something (in this case, the town's population).
If t is the number of years after 2010, then we can test the model by substituting values of t into the model.
In 2010 (t = 0), population = 3476 * 0.97^0 = 3476
In 2011 (t = 1), population = 3476 * 0.97^1 = 3371.72 (round to 3371 or 3372 as you can't have half a person).
In 2012 (t = 2), population = 3476 * 0.97^2 = 3270.5684 (round to 3270).
Therefore, the model shows us that the population slightly decreases each year after 2010, and 3476 will have to be the population in 2010.
Answer:
The population of the town in 2010 is 3476.
Step-by-step explanation:
The variable, t, is "the number of years after 2010." For example, if t = 6, then that means 6 years after 2010. That would be 2016.
Here, t = 0. t=0 means zero years after 2010. That IS 2010. If t=0, then the population is 3476. 3476 is the population of the town in 2010.
Remember, anything to the zero power is 1.
What is the smallest prime number that is the sum of two other distinct prime numbers?
Answer:
5
Step-by-step explanation:
2 +3 = 5
Describe the error in finding the distance between A(6, 2) and B(1,−4). What is the actual length?
Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.
What do you mean by distance?A line or line segment's length between two points along the line or line segment.
What is the formula to calculate distance between two points?
The required formula is:
[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
(x1,y1)= (6,2)
(x2,y2)=(1,-4)
[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]
[tex]d=\sqrt{25+36}[/tex]
[tex]d=\sqrt{61}[/tex] units.
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Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is units.
What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.
What is the formula to calculate distance between two points?
The required formula is:
[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]
(x1,y1)= (6,2)
(x2,y2)=(1,-4)
[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]
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The width of a rectangle measures (7h+3)(7h+3) centimeters, and its length measures (8h-4)(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
ill give u 25 points pls help
Answer: P = 2((49h²+42h+9)(64h²-64h+16))
Step-by-step explanation:
Julie buys a pair of earrings for $7. Now she would like to buy the same earrings for 2 of her friends. How much will she spend for all 3 pairs of earrings
Blaine is going bowling and will need to
pay $4 for shoes and then $3 for every
game. Write an equation for the
situation, if Blaine spends 16 dollars.
Answer: $16 = 4s + 3g
Step-by-step explanation:
s = shoes
g = games
use recursion to write a static method countvowels that inputs a string and outputs the number of vowels it contains.
File name: “TestClass.java” import java.util.Scanner; public class TestClass {
What is recursion?A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.
File name: “TestClass.java”
import java.util.Scanner;
public class TestClass {
//Define main() method
public static void main(String[] args) {
// Construct a Scanner object
Scanner scr = new Scanner(System.in);
//Ask the user to enter a decimal number
System.out.print("Enter a decimal number: ");
//Get the decimal number from the user
int decinum = scr.nextInt();
// Display the binary number
System.out.println("The binary equivalent of the decimal value"
+ decinum + " is " + dec2Bin(decinum));
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Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer: [tex]2^4 \times 5[/tex]
Step-by-step explanation:
[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]
How to solve this problem? I need the answer quick as possible!
Consider the following three systems of linear equations. Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
The arrow → means the expression on the left becomes the expression on the right.
Answer:
24 Inches
Step-by-step explanation:
The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.
What is the length of a piece of wood that uses 8 nails?
It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.
Help with question 1
Answer: D
Step-by-step explanation:
Given the tally marks its 16ths, and the point is on the 3rd tally so it would be 10-3/16 Hope this helps!
Please help me with this question!
Answer:
Step-by-step explanation:
the answer is 11/12
Container A has 1000.75 mL of water and is draining 10.8 mL per minute. Container B has 800.75 mL of water and is draining 5.8 mL per minute. After how many minutes will the two containers have the same amount of water?
After 40min. water in both container A & B will be equal.
Let after 't' min. water in both the containers is same.
Water in Container A is 1000.75 ml & is draining at rate of 10.8ml/ min.
after 't' min. water will be = 1000.75 - 10.8t .......(eq 1)
Water in Container B is 800.75 ml & is draining at rate of 5.8ml/ min.
after 't' min. water will be = 800.75 - 5.8t ........(eq 2)
Now, we know that after 't' min. water in both container A & B is equal, so we can equate equation 1 with equation 2 and find out the value of 't' .
1000.75 - 10.8t = 800.75 - 5.8t
1000.75 - 800.75 = 10.8t - 5.8t
200 = 5t
t = 40 min.
Hence, after 40min. water in both container A & B will be equal.
What is a Container?
Something that can hold or move something is known as a container.
Eg- water, oil etc.
What is meaning of Draining Rate?
A channel or drain for water drainage.
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Is this true or false?
TRUE: The given contrapositive statement are correct,
If m ≤ 3, then, m < 5.
Explain the contrapositive statement?An inference rule called proof by contrapositive, also known as proof by contraposition, is used in proofs to infer a conditional assertion from its contrapositive. To put it another way, the assertion "if B, then not A" is proven rather than the conclusion "if A, then B."When you reverse the hypothesis as well as the conclusion in a statement and reject both of them, you have a contrapositive statement.For the stated conditional statement -
If m ≤ 3, then, m < 5.
Then, contrapositive statement for the given statement will be
(m < 5)' ⇒ (m ≤ 3)'
That is;
(m > 5) ⇒ (m > 3)
That is, if m> 5 then, m > 3, which is true.
Thus, the contrapositive statement for the given conditional statement is true.
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DUE BY SATURDAY!! please help
Answer:
Step-by-step explanation:
so you don't understand at all
Answer:
a.+1,-1
b.+√13,-√13
c.no real solutions
d.no real solutions
Step-by-step explanation:
question no c&d has no real solutions but they have complex solutions
if you are not taught about complex numbers then the Answers to c&d are no real solutions but for complex solutions
c.+3i,-3i
d.+√5i,-√5i
Which of the following values is not an irrational number?
5.73, ,√73, √40
O 5.73
O TT
3/73
O√40
The number that is non-irrational is 5.73, because it can be written as a quotient of two integers.
Which of the following options is not an irrational number?A rational number is a number that can be written as a quotient of two integer numbers, while an irrational number can't be written like that.
Also, the square root of a non perfect square is also irrational.
Here the options are:
5.73, ,√73, √40
Notice that neither of the square roots of non perfect square numbers, so these are irrational numbers.
In other hand, if we see the first one:
5.73
We can rewrite this as:
5.73 = 573/100
So this is a quotient of two integers, then this is a rational number, so this is the correct option.
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2) Given that Y and P are two events and P(Y) = 0.57, P(P) = 0.5 and P(Y UP) = 0.84,
Draw a Venn Diagram and find:
a) P(Yn P)
b) P(Y|P)
c) P(P|Y)
d) P(Y/P')
a) The value of P(Y∩P) =0.23
b) The value of (Y|P) = 0.34
c) The value of (P|Y) = 0.27
d) The value of P(Y/P') = 0.68
What is Venn diagram?
A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.
Given that there are two events Y and P.
P(Y) = 0.57
P(P) = 0.5
P(Y∪P) = 0.84
The formula of intersection is P(Y∩P) = P(P) + P(Y) - P(Y∪P)
Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84
P(Y∩P) = 0.5 + 0.57 - 0.84
P(Y∩P) = 0.23.
b)
P(Y|P) = P(Y) - P(Y∩P)
P(Y|P) = 0.57 - 0.23
P(Y|P) = 0.34
c)
P(P|Y) = P(P) - P(Y∩P)
P(P|Y) = 0.5 - 0.23
P(P|Y) = 0.27
d) P(Y/P') = P(Y∩P') / P(P')
P(Y/P') = P(Y|P)/[1 - P(P)]
P(Y/P') = 0.34/(1- 0.5)
P(Y/P') = 0.68
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Select ALL the correct answers.
Consider the graph given below.
Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
1)Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
2)Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2
3)Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
4)Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
5)Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
6)Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units
The sequences of transformations that could be applied to the parent function are Reflected over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units i.e. Option (4).
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.
Given, the parent function, f(x) = x
From the given graph, the equation will be
y = -2x + 6
Then, the transformation will be
Shifted up 6 units
Vertical stretch by a factor of 2
Reflected over the y-axis
Hence, the required answer is Option 4.
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Fátima, Gabriel y José tienen un total de $1080 en sus carteras. Gabriel tiene 3 veces lo que José tiene. Fátima tiene $70 menos
que José. ¿Cuanto dinero tienen en sus carteras?
Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.
¿Cómo determinar el dinero requerido en sus carteras?
En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:
x - Cantidad de dinero de Fátima.
y - Cantidad de dinero de Gabriel.
z - Cantidad de dinero de José.
Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.
x + y + z = 1080
Gabriel tiene 3 veces lo que José tiene.
y = 3 · z
Fátima tiene $ 70 menos que José.
x = z - 70
A continuación, resolvemos el sistema de ecuaciones lineales:
x + y + z = 1080
(z - 70) + 3 · z + z = 1080
5 · z - 70 = 1080
5 · z = 1150
z = 1150 / 5
z = 230
x = z - 70
x = 230 - 70
x = 160
y = 3 · z
y = 3 · 230
y = 690
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what is this pleasee i give brainliest
The Slope of the line is -3/2
How to find Slope of the Line ?By Substituting x=26
=1/9/8*26+8/3
=-3/2
The slope formula is as follows if P(x1,y1) and Q(x2,y2) are the two points on a straight line:Slope, m = Y-coordinate change / X-coordinate changem = (y2 – y1)/(x2 – x1) (x2 – x1)As a result, using the formula above, we can quickly determine the slope of a line connecting two locations.The rise of the line from one point to another (along the y-axis) over the run is another way to describe the slope of a line between two points (along x-axis). A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.To learn more about Slope of the Line refer to:
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Ms. Hall is buying Ms. Ward some gifts for Christmas. She is buying one big gift that
will cost $90 as well as some small gifts that cost $7 each.
1+90 +7
What is its :
Constant:
Coefficient
Equation:
When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,
the Constant: $90 and $7
the Coefficient: $7
the Equation: $90 + $7x
How to find the constantInformation form the problem shows that
one big gift that will cost $90
some small gifts that cost $7 each
the constant in this case is the price of the gifts
$90 and $7
the coefficient is $7
the equation is
$90 + $7x
where x is the number of the small gifts
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which statements about XYZ are true?
XYZ is a scalene triangle, because each of the lengths of the sides are different.
YZ is 7 units in length.
XY is 6 units in length.
triangle XYZ has an area of 20 square units, because if you substitute the values into the formula ½ x length of the base x perpendicular height, you get 20 square units.
Answer:
HOPE IT'S HELPFUL
Step-by-step explanation:
XYZ is a scalene triangle
three hot dogs cost $82.86 and 2 hamburgers cost $55.12. which food has the lower unit price
Answer:
Hamburgers
Step-by-step explanation:
82.86/3 = 27.62
55.12/2 = 27.56
27.56 is smaller so hamburgers it is!
