Answer:
B
Step-by-step explanation:
Answer:
A. 37/100
Step-by-step explanation:
1. common denominator. so make 3/10 into 30/100.
2. subtract 30/100 from 67/100.
the answer is 37/100
how many learners how many learners can a school enrol if there are 12 teachers and the ratio of learners to teachers is 30:1
Answer: 360 learners
Step-by-step explanation:
There are 30 learners per every 1 teacher. So for 12 teachers, there are 30 x 12 learners, which is equivalent to 360 learners.
HELP ME WILL GIVE 100 PTS/BRAINLIEST
this test ends in 20 minutes help me please!
What relation is displayed on the table?
{(3,3)(3,7)(5,8)(9,0)}
{(3,3)(7,3)(8,5)(0,9)}
{(3,3)(3,7)(5,9)(8,0)}
{(3,3)(7,3)(5,8)(9,0)
The relation is displayed on the table is A. {(3,3)(3,7)(5,8)(9,0)}.
About relation in mathRelation is something that expresses a special relationship or connection between two sets. Relations are closely related to functions, where both are important in various branches of mathematics.
Functions in mathematics are different from understanding in everyday life. In everyday terms, function can be interpreted as a use or benefit.
A mathematician named Gottfried Wilhelm Leibniz (1646-1716), introduced that functions are used to express a relationship. Regarding this matter, the function can be interpreted as something special about a relation between two sets
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Jetta mixes 5 parts of cranberry juice
Answer:
ok
Step-by-step explanation:
Factor The Expression:
[tex]\frac{1}{5}x + \frac{3}{5}[/tex]
(Please help I have a C+ in Math)
Answer:
x+3/5
Step-by-step explanation:
i have the same grade in my level math
the sum of nine times x and ten is less than 20
Answer:
9x + 10 < 20
I tutor just trust its right
as part of a class project, a student conducts a survey of 50 students at her school asking whether the students owned a smartphone. thirty-eight of the 50 students (76%) reported owning a smartphone. a 95% confidence interval for the proportion of all students at her school that own a smart phone will
The average hours per day spent watching TV among all students at the school. It only mentions a survey conducted on smartphone ownership among 50 students at the school .
To determine the average hours per day spent watching TV among all students, a separate survey or study would need to be conducted.he sample size of 50 is relatively small, so the confidence interval may be wider than if a larger sample was used. The confidence level of 95% means that if 100 independent samples were drawn from the population, 95 of the intervals would contain the true population proportion of smartphone ownership.
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If you qualify they offer a 12.9% APR what would the monthly periodic interest rate be?
Answer:
1.075%
Step-by-step explanation:
You want the monthly periodic rate corresponding to an APR of 12.9%.
Monthly rateThere are 12 months in a year, so the monthly rate is 1/12 of the annual rate:
12.9%/12 = 1.075%
The monthly periodic rate is 1.075%.
__
Additional comment
The APR does not take compounding into account, so the effective annual rate may be higher.
A school has 120 students. On Friday, 72 students went on a field trip. What percent of the students did NOT go on the field trip?
The percentage of the students who did not go on the trip will be 40%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a school has 120 students. On Friday, 72 students went on a field trip.
The number of the students who did not go to the trip are:-
N = 120 - 72 = 48
The percentage will be calculated as:-
Percentage = 48 / 120
Percentage = 0.4 x 100
Percentage = 40%
Therefore, the total of 40% of the students will not have attended the trip.
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Solve
3x2=12−9x
Optons
A. x = -4 and 1
B. x = -1 and 1
C. No solutions
D. x = 4
using the same sample statistics, you calculate a 95% t-interval for a population mean and a 95% z-interval for a population mean. which interval has a larger margin of error?
95% t-interval for a population mean is Confidence Interval = [14.446, 15.554]
In statistics, estimating the value of a population parameter, like a population proportion or a population mean, is a common goal.
We normally choose a small, random sample to estimate these values, and then we compute the sample proportion or sample mean.
Then, in order to express our uncertainty over these estimations, we build a confidence interval.
To determine a confidence interval for a population proportion, we use the following formula:
The confidence Interval is equal to
Here is how to determine a population mean's 95% confidence interval:
The confidence Interval is equal to x z*(s/n).
Confidence Interval is equal to 15 1.96*(4/25).
Confidence Interval is equal to 15 1.568.
Interval of Confidence = [13.432, 16 .568]
Now imagine that we chose a 200-person sample size instead. Here is how we would determine the population's 95% confidence interval:
Confidence Interval = 15 ± 0.554
Confidence Interval = [14.446, 15.554]
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Complete the conversion using dimensional analysis.
8.9 g = _______ dg
After performing dimensional analysis we get there are 89 decigrams in 8.9 grams
What is dimensional analysis?Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.
Given that, we need to change the unit of 8.9 grams into decigram.
We know that,
1 g = 10 dg
Dimensional Analysis Formula
1 g × 10 dg / 1 g = 10 dg
Therefore,
8.9 g × 10 dg / 8.9 g
= 8.9 × 10 dg
= 89 dg
Hence, After performing dimensional analysis we get there are 89 decigrams in 8.9 grams
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a gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. the gecko is currently on a side wall ($10^{\prime}$ by $8^{\prime}$), one foot from the ceiling and one foot from the back wall ($12^{\prime}$ by $8^{\prime}$). the gecko spots a fly on the opposite side wall, one foot from the floor and one foot from the front wall. what is the length of the shortest path the gecko can take to reach the fly assuming that it does not jump and can only walk across the ceiling and the walls? express your answer in simplest radical form.
The length of the shortest path the gecko can take to reach the fly is √170 feet.
The shortest path the gecko can take to reach the fly is a straight line from its starting position to the position of the fly. To find the length of this path, we can use the Pythagorean theorem.
Let's call the distance the gecko must travel along the ceiling x and the distance it must travel along the wall y. Then, using the Pythagorean theorem, we have:
x² + y² = d²
Where d is the distance between the two points.
We can find x and y by using the information given in the problem. The gecko starts one foot from the ceiling, so x = (8 - 1) = 7. It starts one foot from the back wall, so y = (12 - 1) = 11. The fly is one foot from the floor, so x = (8 - 1) = 7. It is one foot from the front wall, so y = (10 - 1) = 9.
Substituting these values into the equation, we have:
7² + 11² = d²
49 + 121 = d²
170 = d²
d = √170
Therefore, the length of the shortest path the gecko can take to reach the fly is √170 feet.
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A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. Complete the statement about the slope of the line representing that relationship in the coordinate plane.
The slope will be , 1 of 2.
Select Choice
because the amount of fuel in the tank is , 2 of 2.
Select Choice
.
The slope of the line representing that relationship in the coordinate plane is -5.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
A container of fuel dispenses fuel at the rate of 5 gallons per second.
If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship.
The linear equation is,
y = -5x.
And the slope is -5.
Therefore, the slope is -5.
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Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = In(x), then ƒ'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = = In(x) at x = 2.
Answer: y - ln2 = (1/2)(x - 2) or y = (1/2)x + ln2 - 1
Step-by-step explanation:
f(x) = lnx
f'(x) = 1/x
f(2) = ln 2 , so we have the slope = 1/2, and a point (2, ln2)
equation of tangent:
y - ln2 = (1/2)(x - 2)
y = (1/2)x + ln2 - 1
Two teachers, Mrs. Wright and Mr. Kinder, decide to buy calculators and protractors for their classrooms. Mrs.
Wright buys 40 calculators and 30 protractors for $485. Mr.
Kinder buys 20 of each for $252. What are the individual costs of the calculators and protractors that were purchased?
In response to the question, we may say that Therefore, the cost of a equation calculator is $10.7 and the cost of a protractor is $1.9.
Let the cost of one calculator be c and the cost of one protractor be p. Then we can write two equations based on the information given:
40c + 30p = 485 (Equation 1)
20c + 20p = 252 (Equation 2)
We can simplify Equation 2 by dividing both sides by 20:
c + p = 12.6 (Simplified Equation 2)
Now we can solve this system of equations using substitution. Solving Equation 2 for c, we get:
c = 12.6 - p
Substituting this expression for c into Equation 1, we get:
40(12.6 - p) + 30p = 485
Expanding and simplifying:
504 - 40p + 30p = 485
Solving for p:
-10p = -19
p = 1.9
Substituting this value for p into Simplified Equation 2, we get:
c + 1.9 = 12.6
Solving for c:
c = 10.7
Therefore, the cost of one calculator is $10.7 and the cost of one protractor is $1.9.
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What is question #1 and #2? will give brainliest and you can use the top question to help figure it out
one as I think
#1
opposite of an area
give me certificate 100% thanks
a round-trip airline ticket to las vegas on southwest is normally $200. this week, the ticket is 12.5% off. what is the price of the round-trip ticket to las vegas this week? a round-trip airline ticket to las vegas on southwest is normally $200. this week, the ticket is 12.5% off. what is the price of the round-trip ticket to las vegas this week? $180 $175 $185 $170 $140
The price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount.
The formula used to calculate the price of a round-trip airline ticket to Las Vegas on Southwest this week is Price = Original Price - Percentage Discount x Original Price. The original price of the ticket is $200 and it is 12.5% off this week. Therefore, the calculation of the price of the ticket this week is Price = 200 - 0.125 x 200 = 175. This means that the price of the round-trip ticket to Las Vegas this week is 175.
The 12.5% discount is calculated by taking the percentage discount and multiplying it by the original price. This result is then subtracted from the original price to get the discounted price. For example, if the original price of the ticket is 200 and the discount is 12.5%, then the calculation is 200 - 0.125 x 200 = 175. Therefore, the discounted price of the ticket this week is 175.
In conclusion, the price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount. The discount is calculated by taking the percentage discount and multiplying it by the original price, and then subtracting that result from the original price.
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Use a trigonometric ratio 16° and 38to find the value of x. Round your answer to the nearest tenth.
In the right triangle ABC the value of x will be 24.7 and this can be determined by using the trigonometric function.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
Given :
The right-angle triangle ABC.
AB = x
BC = 9
now,
The Trigonometric function can be used to determine the value of 'x'. The tangent function is an important trigonometric function that can be used to determine the value of 'x'.
The tangent function is given by the equation:
tanФ = P/B
where P is the perpendicular and B is the base of the given triangle.
Now, substitute the values of P, Ф, and B in the above equation.
tan 20 = 9/x
solving we get,
x = 24.72
(to the nearest tenth)
So, by using the trigonometric ratio the value of x is 24.7.
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what do you call identical sisters when both are ice-skating champions
Answer:
You can call them champion ice-skating sisters or identical champion ice-skaters.
Consider two circular swimming pools. Pool A has a radius of 44 feet, and Pool B has a diameter of 27.02
meters. Complete the description for which pool has a greater circumference. Round to the nearest
hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A is(blank)
circumference
is (select) by
meters. So, the diameter of Pool (select) is greater, and the
meters.
The diameter of Pool A is 26.84 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Which circle has a greater circumference?The diameter is a straight line that passes through the center of a circle and touches two points on the circumference of the circle. The radius is half the length of the diameter.
The first step is to convert the radius of pool A to meters from feet:
44 x 0.305 = 13.42 meters
Diameter of Pool A = 2 x radius
2 x 13.42 = 26.84 meters
Circumference of a circle = πD
Where:
π = 3.14
D = diameter
Circumference of Pool A = 3.14 x 26.84 meters = 84.28 meters
Circumference of Pool B = 3.14 x 27.02 = 84.84 meters
Difference = 84.84 - 84.28 = 0.56 meters
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Please help me!!!! Will mark brainliest!!!
Answer: i believe its D
Step-by-step explanation:
The first one is a reflection - witch is the answer so D
Solve the system of equations using elimination. −3x + 2y = 9 x + y = 12
Answer:
x = 4/7 and y = 48/7
Step-by-step explanation:
We need to solve the system of equations using elimination method
-3x + 2y = 12....... equation 1
9x + y = 12...........equation 2
Multiply the 2nd equation with 2
18x + 2y = 24 ............equation 3
Now, subtracting equation 3 from equation 1
- 3x - 18x + 2y - 2y = 12 - 24
-21x = 12
x = 12/21 = 4/7
-3(4/7) + 2y = 12
-12/7 + 2y = 12
2y = 12 + 12/7
2y = 96/7
y = 48/7
Therefore, the system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7
1. Describe three key features of functions
2. Explain the process of graphing a polynomial function given the equation.
3. What are the different types of discontinuities for a rational function and how are they calculated?
4. What is one similarity and one difference between the parent radical and exponential functions?
5. Explain the relationship between logarithmic functions and exponential functions and how this relates to their graphs.
The answers to each part are mentioned below.
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given are the questions regarding the functions.
{ 1 } -Following are the key features of functions.
Domain and Rangex-intercept and y-interceptPositive and Negative intervalsIntervals of increasing, decreasing and constant behaviorParent FunctionsMaxima and Minima{ 2 } -The process of graphing a polynomial function given the equation -
Determine all the zeroes of the polynomial and their multiplicity. Use the fact above to determine the x-intercept that corresponds to each zero will cross the x-axis or just touch it and if the x-intercept will flatten out or not.Determine the y - intercept, that is {0, P(0)}.Use the leading coefficient test to determine the behavior of the polynomial at the end of the graph.Plot a few more points. This is left intentionally vague. The more points that you plot the better the sketch. At the least you should plot at least one at either end of the graph and at least one point between each pair of zeroes.{ 3 } -
There are four types of discontinuities -
jump
point
essential
removable
{ 4 } -The parent function of exponential functions is -
y = A(B)ˣ
{ 5 } -
The inverse of an exponential function is a logarithmic function.
for →
y = aˣ, a > 0, a ≠ 1
we can write →
y = [tex]$log_{a} x[/tex], a > 0, a ≠ 1
Therefore, the answers to each part are mentioned above.
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find a nonzero vector orthogonal to the plane through the points p, q, and r.
The nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].
How we get nonzero vector?To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors that lie in the plane.
Let's find the vectors PQ and PR, which can be found by subtracting the coordinates of P from the coordinates of Q and R:
According to question:PQ = Q - P = (-2, 1, 3) - (1, 0, 1) = (-3, 1, 2)
PR = R - P = (4, 2, 5) - (1, 0, 1) = (3, 2, 4)
Next, we'll take the cross product of these two vectors to find a vector orthogonal to the plane:
n = PQ x PR =
[(1)(4) - (2)(2), (2)(-3) - (3)(1), (3)(3) - (2)(-2)]
= [-8, -8, -12]
This vector is orthogonal to the plane through the points P, Q, and R. To make it a nonzero vector, we can scale it to have magnitude 1:
n = [-8, -8, -12] / sqrt((-8)^2 + (-8)^2 + (-12)^2) = [-8/13, -8/13, -12/13]
So, the nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].
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A cylinder has a radius of 5 millimeters, and a height of 9 millimeters. What is the cylinder's exact volume?
Answer:
hi !!!
Step-by-step explanation:
Vcylinder = pi*radius*radius*height= pi*25*9= 706.5 cubic milimeters = 7.065 cubic centimenter
Question: Use The General Slicing Method To Find The Volume Of The Following Solid The Solid With A Semicircular Base Of Radius 15 Whose Cross Sections Perpendicular To The Base And Parallel To The Diameter Are Squares The Volume Of The Solid Is Cubic Units (Type An Exact Answer)
The volume of the solid is 9375 cubic units with a semicircular base of radius 15 and square cross sections perpendicular to the base and parallel to the diameter.
What is Perpendicular?Many perpendicular lines may be seen in nature. The sides of a set square, the arms of a clock at different times of the day, the corners of a blackboard, a window, and the Red Cross emblem are other examples.
Here,
Let x be the height of the washer and h be the width of the square part of the washer. Then, the radius of the circular hole in the washer is 15 - x, so the width of the washer is 2 * (15 - x). The volume of each washer is then given by:
V = π * (15 - x)^2 * x + h^2 * x
where h^2 = (2 * (15 - x))^2
Expanding h^2, substituting into the expression for V, and simplifying, we get:
V = π * (15 - x)^2 * x + 4 * (15 - x)^2 * x
= 5πx(15 - x)^2
The total volume of the solid is given by the definite integral of V from 0 to 15:
V = 5π ∫_0^15 x(15 - x)^2 dx
This integral can be evaluated using integration by substitution. Let u = 15 - x, so that du = -dx and x = 15 - u. Then:
V = 5π ∫_0^15 (15 - u) * u^2 * (-du)
= 5π ∫_15^0 u^2 * (15 - u) du
= 5π * [u^3/3 * (15 - u) - u^2/2 * (15 - u)^2 + u * (15 - u)^3/3]_0^15
= 5π * (225/3 - 15 * (225/2) + (15^4)/4)
= 5π * (225/3 - 3375/2 + 3375)
= 5π * (5625/3)
= 9375π
So the volume of the solid is 9375 cubic units of the solid with a semicircular base of radius 15 and cross sections perpendicular to the base and parallel to the diameter that are squares.
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I need help now please
Answer:i think the answers 4 im not sure
Step-by-step explanation:
1. Which table does NOT show y as a function of x?
x
X
y
1
10
9
14
100
8
11
15
Ha
80
}
9
16
110
4
14
17
100
HINT
7
18
90
H
x
X
-0.2 0.6
5.8
-3.7
-24
2.7
21
2.8
<-1.3
4.4
24
2.7
1.0 -0.2
-0.9
8.1
-27
2.5
29
2.5
Step-by-step explanation:
you'll have to make the chart simpiler
A city planner is laying out four streets that will form the boundary of a park, as shown. She wants to be sure the park formed by the streets is a parallelogram. Which of the following conditions guarantees this?
the four options guarantees the conditions.
ii)x=14 and y=21 are the values in the parallelogram ABCD.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
Given that A city planner is laying out four streets that will form the boundary of a park.
She wants to be sure the park formed by the streets is a parallelogram.
The two streets are parallel to each other.
Angle 1 is corresponding angle to 56 degrees angle
m∠1=56 degrees.
Now angle 2 is 180-56=124 degrees.
m∠2=124 degrees
m∠1=m∠3
m∠3=56 degrees.
2. ABCD is a parallelogram
AB is parallel to CD
x+2=2x-12
14=x
Now BC=AD
3x=2y
42=2y
Divide both sides by 2
21=y
Hence, the four options guarantees the conditions.
ii)x=14 and y=21 are the values in the parallelogram ABCD.
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Which point is on the graph of f(x) = 3 • 5x?  A. (1, 15)  B. (0, 15)  C. (15, 1)  D. (0, 0)
The points on graph of f(x) = 3 • 5x is (0, 0) and (1, 15).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
f(x) = 3 • 5x
let f(x)= y and put the values for x
At x= 1
y= 3 (5)
y= 15
At x =0
y=0
at x= 15
y= 225
So, the solution are (0, 0) and (1, 15).
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