What is the difference between 25% of 250 and 17% if 350?
62.5 minus 59.5 so the answer is 3
the magnitude of vector is always negative true or false
Answer:
False. The magnitude of a vector is always non-negative.
10 points
QUESTION 2
One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this rule to estimate the size of the
crowd watching a concert in an area that is 150 feet long and 240 feet wide.
156 people
5760 people
35031 people
14400 people
Answer:
I believe it’s 14400 people
Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:
Answer:
how many masks can she make from one yard of fabric?
the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per maskIf her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per maskWhat is the constant term in the following expression?
4x - 2y + 3
The constant term in the expression is 3.
The expression is 4x ₋ 2y ₊ 3.
Here in this equation we have variables and constants.
variables = x and y whose coefficients are 4 and ₋2 respectively.
A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.
The above equation is in the form ax ₊ by ₊ c
An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.
Hence we get the constant term as 3.
Learn more about Algebra here:
brainly.com/question/855307
#SPJ9
Use trigonometric identities and algebraic methods, as necessary, to solve the following trigonometric equation. Please identify all possiblesolutions by including all answers in [0, 2pi) and indicating the remaining answers by using n to represent any integer. Round your answerto four decimal places, if necessary. If there is no solution, indicate "No Solution."cos^2(x) + 2cos(x) = 5cos(x) + 4
x = 0°, 180°
Explanation:cos²(x) + 2cos(x) = 5cos(x) + 4
let cos x = y
y² + 2y = 5y + 4
collect like terms:
y² + 2y - 5y - 4 = 0
y² - 3y - 4 = 0
Using factorisation method to solve the above equation:
The factors of -4 that we can sum up to get -3 are: -4 and +1
y² - 4y + y - 4 = 0
y(y +4) + 1(y - 4) = 0
(y + 1) (y - 4) = 0
y + 1 = 0 or y - 4 = 0
y = -1 or y = 4
Recall cosx = y
This means:
cos x = -1 or cos x = 4
We were given an interval of [0, 2π). This means the interval is from 0° ≤ x < 360°
Greater than 0° but less than 360°
cosx = -1
x = arc cos (-1)
x = 180 degrees
cos x = 4
x = arc cos (4)
x = 0 degrees
x = 0°, 180°
The carousel at an amusement park has 20 horses spaced evenly around its circumference. The horses are numbered consecutively from 1 to 20. The carousel completes one rotation about its axis every 40 seconds.
a. What is the central angle, in degrees, formed by horse #1 and horse #8?
b. What is the speed of the carousel in rotations per minute?
c. What is the speed of the carousel in radians per minute?
d. A child rides the carousel for 6 minutes. Through how many radians will the child pass in the course of the carousel ride?
The child passes through 18π radians in the course of the carousel ride.
To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.
Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.
Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.
To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.
6 minutes is equal to 360 seconds,
so the child passes through π/20 x 360 = 18π radians during the ride.
To learn more about : radians
https://brainly.com/question/29058626
#SPJ8
X/v-w = y
how would you make x the subject here? (x/v-w is the fraction)
Step-by-step explanation:
get x alone
first get w out of the way by using opposite operation
w is subtracting from x/v, so you need to add on both sides to get rid of it on the left
x/v-w+w=y+w
x/v=y+w.now you have to do opposite operation for x/v which is multiplication
so to get x alone we have to multiply v on both sides
v×(x/v)=v×(y+w)
x=v(y+w)
Find the exact value of the following expression
The exact value of the expression is -1/2
Trigonometry identityGiven the following trigonometry value
sin 5π/3
Since the value of π is 180 degrees, hence;
sin 5(180)/3
sin 5(60)
sin 300
This can be written as;
sin(360 - 30) = -sin30
sin(360 - 30) = -(1/2)
Hence exact value of the expression is -1/2
Learn more on trigonometry identity here: https://brainly.com/question/24382052
#SPJ1
what is the slope of the line that contains the points in the table ?
Answer: -2
Step-by-step explanation:
You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9
Answer:
12 over 27 = 4 over 9
Step-by-step explanation:
12 over (12 + 15) = 12 over 27 = 4 over 9
1528 000 in scientific notation
Answer:
Use Casio enter 1528000
press = then press 'ENG'
Step-by-step explanation:
\(1.528 \times 10 ^{6} \)
pls help I don't understand
Answer:
C
Step-by-step explanation:
Factor out the polynomial.
Because the last number is negative this tells you one of the factors is negative and the other is positive.
Then you should look at what numbers can multiply together to equal -32, then see if those numbers add to equal positive 4.
The only numbers that satisfy the equation are (x-4)(x+8).
Answer:
C and F. Message if you have any questions.
Step-by-step explanation:
Due to the -32 in the equation, we know it must be a subtraction and addition immediately. We also know the two numbers must multiply together to equal negative 32. Which looks like every option. Lastly, the middle term, 4X means that when the two numbers are added together they equal 4, so that removes the option of all 16 and 2 options. 8 needs to be positive due to it being +4, so the answer is C and F.
The sides of a triangle are 5p^2 − q^2 ; 6p^2 − 8 + 5q^2
− 5p^2+ 8 + 9q^2 . Find its perimeter.
Answer:
Step-by-step explanation:
To find the perimeter of the triangle, we need to add the lengths of all three sides. So,
Perimeter = (5p^2 − q^2) + (6p^2 − 8 + 5q^2) + (−5p^2+ 8 + 9q^2)
Simplifying the above expression, we get:
Perimeter = 6p^2 + 14q^2 - 8
Therefore, the perimeter of the triangle is 6p^2 + 14q^2 - 8.
Point M is online to LN given LN equals 10 and LM equals 8 determine the length of mn
Answer:
2 ...
Step-by-step explanation:
since LM = 8
and LN = 10
therefore MN = LN - LM .
MN = 10 - 8 .
MN = 2
MARK ME AS BRAINLIEST ...
Find the equation for the graph in the interval -1 < x≤ 3 as displayed in the graph.
The equation for the graph in the interval is y = 3/2x - 1/2
Finding the equation for the graph in the intervalFrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(-1, -2) and (3, 4)
The equation of the line is calculated as
y = mx + c
Where
c = y when x = 0
Using the points, we have
-m + c = -2
3m + c = 4
Subtract the equations
-4m = -6
So, we have
m = 3/2
This means that
y = 3/2x +c
Next, we have
3/2 * 3 + c = 4
This gives
c = -1/2
Hence, the equation of the line is y = 3/2x - 1/2
Read more about linear function at
brainly.com/question/15602982
#SPJ1
what percentage of survey respondents reported having colleagues who are rude or disrespectful? multiple choice 39% 53% 79% 90% 10%
According to the survey results, 53% of respondents reported having colleagues who are rude or disrespectful. This is a concerning finding, as workplace incivility can have negative effects on employee well-being, job satisfaction, and productivity.
It is important for organizations to address and prevent such behaviors through training, policies, and a culture of respect and accountability. It is also important for individuals to speak up and address rude or disrespectful behavior when it occurs, in a constructive and professional manner. By promoting civility and respect in the workplace, we can create a more positive and productive work environment for everyone.
According to the survey, 53% of respondents reported having colleagues who are rude or disrespectful. This percentage indicates that more than half of the surveyed individuals have experienced unprofessional behavior from their coworkers.
It is essential for everyone in a professional environment to treat their colleagues with respect and maintain a positive work environment.
Learn more about unprofessional at : brainly.com/question/10344592
#SPJ11
During the first 100 days, the school book store sold a total of 1,344
pennants. There were 384 pennants left unsold. How many pennants did the
book store have at the beginning of the school year?
Answer:
1,728
Step-by-step explanation:
Carlos has a box of coins that he uses when playing poker with friends. the box currently contains 34 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $3.43. How many of each denomination does he can?
Carlos has 13 pennies, 13 dimes, and 8 quarters in his box of coins.
Let's denote the number of pennies as "p", the number of dimes as "d", and the number of quarters as "q". Since the number of pennies is equal to the number of dimes, we can set up the following equation:
p = d
The total number of coins is given as 34, so we can write another equation:
p + d + q = 34
The value of the pennies can be represented as 0.01p, the value of the dimes as 0.10d, and the value of the quarters as 0.25q. The total value of the coins is $3.43, so we can set up another equation:
0.01p + 0.10d + 0.25q = 3.43
Now, substitute p = d into the second equation:
0.01(d) + 0.10d + 0.25q = 3.43
0.11d + 0.25q = 3.43
We have three equations:
p = d
p + d + q = 34
0.11d + 0.25q = 3.43
Substituting p = d into the second equation gives:
d + d + q = 34
2d + q = 34
We can rewrite the third equation as:
11d + 25q = 343
Now we have a system of two equations:
2d + q = 34
11d + 25q = 343
By solving these equations, we can find the values of d and q.
Using the substitution method, we can express q in terms of d from the first equation:
q = 34 - 2d
Substituting this value into the second equation:
11d + 25(34 - 2d) = 343
11d + 850 - 50d = 343
-39d + 850 = 343
-39d = 343 - 850
-39d = -507
d = -507 / -39
d = 13
Substituting the value of d back into the first equation:
p = d
p = 13
Finally, substituting the values of p and d into the equation for the total number of coins:
p + d + q = 34
13 + 13 + q = 34
q = 34 - 26
q = 8
Therefore, Carlos has 13 pennies, 13 dimes, and 8 quarters in his box of coins.
Learn more about Coins here
https://brainly.com/question/16895146
#SPJ4
2. Find the measurement of angle ABD and angle DBC
A
4x+8
B
x+2
D
The value of angle ∠ABD=144° and ∠DBC=36°.
What Does the Term "Straight Line" Mean in Geometry?An endless figure without width is a straight line. It consists of an infinite number of points connected at both ends. It doesn't have any curves at all. It can be straight, angled, or vertical. We use a sleeping straight line or a standing straight line when explaining geometry to preschoolers.
\(ABC\) is a straight line,
Hence,
∠ABD+∠DBC=180°
(4x+8)+(x+2)=180°
5x+10=180°
5x=170°
x=34°
Hence,
∠ABD=4*34+8
∠ABD=144°
∠DBC=36°
To know more about straight line visit:-
brainly.com/question/29223887
#SPJ1
A trash bin has a capacity of 50 gallons. What percentage of its capacity is 30 gallons?
The trash bin has a capacity of 50 gallons and it currently contains 30 gallons, then it is 60% full.
The capacity of the trash bin is 50 gallons. We want to find out what percentage of this capacity is occupied by 30 gallons.
To calculate the percentage, we use the formula:
Percentage = (Amount / Capacity) * 100
In this case, the amount is 30 gallons and the capacity is 50 gallons.
Substituting these values into the formula, we have:
Percentage = (30 / 50) * 100
To simplify the calculation, we can perform the division first:
Percentage = 0.6 * 100
Multiplying 0.6 by 100 gives us:
Percentage = 60
Therefore, 30 gallons represents 60% of the trash bin's capacity.
In conclusion, if the trash bin has a capacity of 50 gallons and it currently contains 30 gallons, then it is 60% full.
Learn more about formula here: brainly.com/question/30539710
#SPJ11
Which equation can be used to find the value of x
A.(x=52)
b.(x+52=90)
c.(x+52=90)
D.(52+38=x )
Answer:
52⁰
Step-by-step explanation:
x⁰=52⁰ ( vertical opposite angles ) (V.O.A)
At what point does the line given by the following equation cross the y-axis?
y = -2x + 3
The given line y = -2x + 3 will cross the y-axis at (0, 3).
Coordinate plane:A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.
The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).
Here we have
The equation of the line is y = -2x + 3
To find the required point take x = 0
=> y = -2(0) + 3
=> y = 0 + 3
=> y = 3
Therefore,
The given line y = -2x + 3 will cross the y-axis at (0, 3).
Learn more about Coordinate plane problems at
https://brainly.com/question/29279915
#SPJ1
Will give brainliest
Answer:
29
Step-by-step explanation:3(2x1+3)-4(1-3)+3x2
The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?
-3 is greater than -11, so it was colder in Milwaukee.
-11 is greater than-3, so it was colder in Milwaukee.
-3 is greater than-11, so it was colder in Chicago.
-11 is greater than -3, so it was colder in Chicago.
Answer:
A
Step-by-step explanation:
-3 > -11
Answer:
Option A, -3 is greater than -11, so it was colder in Milwaukee.
Step-by-step explanation:
-3 is greater than -11.
-11 is for Milwaukee so -11 is colder than Chicago therefore Option A is correct
The cost for 30 ounces of apples is $ 45.00. Which equation can be used to determine x, the cost, in dollars, for 80 ounces of organic apples?
After answering the query, we may state that In order to calculate the price, x, in dollars for 80 ounces of organic apples, the following equation must be used: x = 1.5(80); x = 120.00; x = $120.00
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
We may use the proportionality equation if we assume that the price of apples is directly proportionate to their weight:
Cost per ounce = Cost of apples / weight of apples
This calculation may be used to determine the price per ounce of apples:
Cost per ounce is $30 divided by 30 ounces
$30 ounces x $45.00 per ounce
$1.50 per ounce is the price.
We can utilise the price per ounce we now have knowledge of to calculate the price of 80 ounces of organic apples:
Cost of 80 ounces = Price per ounce x Apples' weight
80 ounces at $1.50 each equals the cost.
80 ounces are priced at $120.00.
In order to calculate the price, x, in dollars for 80 ounces of organic apples, the following equation must be used:
x = 1.5(80)
x = 120.00
x = $120.00
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Please help with this answer! Thank you so much guys really thanks
Express each of these statment using quantifires :
a) every student in this classes has taken exactly two mathematics classes at this school.
b) someone has visited every country in the world except Libya
Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
a) "Every student in this class has taken exactly two mathematics classes at this school."
In this statement, we have two main quantifiers:
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.
Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.
So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."
b) "Someone has visited every country in the world except Libya."
In this statement, we also have two main quantifiers:
Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.
So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."
In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.
Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
To know more about quantifiers check the below link:
https://brainly.com/question/13146953
#SPJ4
evaluate the expression (3 • 2) to the second power
Answer:
6
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
3x2 =6
Then 6 to the 2and power and its 36
A rectangles width (W) is 5 inches more than a third the length (L). If the perimeter is 42 inches what are the dimensions of the rectangle ?
The length and width of the rectangle are 5.5 inches and 10.5 inches.
What do we mean by rectangles?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.It can also be explained in terms of a parallelogram with a right angle or an equiangular quadrilateral—a quadrilateral whose angles are all equal.A square is an asymmetrical shape with four sides of equal length.So, the dimensions of the rectangle:
Let the length of the rectangle be 'x' and the width be 'x + 5'.The perimeter is 42 inches.Perimeter formula: 2(l + b)Substitute the values in the formula as follows:
P = 2(l + b)42 = 2(x + x + 5)42 = 2(2x + 5)42 = 4x + 204x = 42 - 204x = 22x = 22/4x = 5.5 inches (Length)x + 5 = 5.5 + 5 = 10.5 inches (Width )Therefore, the length and width of the rectangle are 5.5 inches and 10.5 inches.
Know more about rectangles here:
brainly.com/question/25292087
#SPJ13