Answer:
Area = 18
Explanation:
The area of a triangle is given by
Area = 1/2 height * base length
Now in our case
height = 12 in, base length = 3 in; therefore, the area is
Area = 1/2 * 12 * 3
Area = 6 * 3
Area = 18
Which is our answer!
Can you help me with this equation?
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard
Answer:
meter - yard
kilogram - 2 pounds
liter - quart
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
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Find the area of the rectangle whose sides are 13 cm to 24 centimeters
Answer:
312sq. cm
Step-by-step explanation:
Area of a rectangle=length×breadth=
13×24=312sq. cm
John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Answer:
The number of years needed is 15.75 years.
Step-by-step explanation:
The investment amount (present value) = $200
Interest rate =4.5%
Double of investment = $400
Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.
Future value = present value ×(1+interest rate)^n
400 = 200×(1+4.5%)^n
N = 15.75 years
The number of years required to double the amount is 15.75 years.
A woman bought 210 oranges for $7.50 .She sold all of them at 3 for 15 cents . Find the, Total selling price of the oranges and percentage profit
HELP ME PLS
7.5x+20y=900 models how many hours worked(x) and how many lawns mowed (y) Jon has to work to save $900. give 3 combinations of hours worked and lawns mowed that result in $900
PQRS is a rectangle. PR = 26. What is the value of x? *
not all multiple choice is show
The value of X from the given rectangular figure above would be = 6.5. That is option A.
What is a rectangle?A rectangle can be defined as a quadrilateral that has four sides, four vertices, and four angles.
In a rectangle, when two diagonal line divides it, the two diagonals are of the same length.
That is;
Line PR = Line SQ
Half of PR = ER
Half of SQ = QE
But QE = 2x
PR = 26
QE = 1/2 × 26 = 2x
13= 2x
X = 13/2
X= 6.5
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need help geometry question central angles and arcs pls???
Answer:
75°,
mUV = 105°, the other 2 are both 75°. This means mTU = 75°
how many and what type of solution does 6x^2 -3x+ 5
Step-by-step explanation:
6x² -3x+ 5 =0
Discriminant = b²-4ac
D = 9 - 4(6)(5)
= 9 - 120
= -111
there is not real root solution
saleswoman sells a dried-fruit mixture for $ 5.90 per pound and nuts for $ 14. 75per pound. She wants to blend the two to get a -15lb mixture that she will sell for $ 9.44per pound. How much of each should she use? Solve using matrices.
To get a 15-lb mixture, she should use enter your response here( = -lb )of dried-fruit mixture and enter your response here( = lb )of nuts.
A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.
Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1 1 | | x | | 15 |
| 5.90 14.75 | | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x | | 1 1 |^-1 | 15 |
| y | = | 5.90 14.75 | | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877 -0.0576 |
| -0.0059 0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x | | 0.0877 -0.0576 | | 15 |
| y | = | -0.0059 0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.
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Someone help me in this one now please
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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Someone pls help!!!???
Answer:
Its #3
Step-by-step explanation:
Adrian gets a loan for $500 to go on a trip. He borrows the money at 5% interest for 1 year. Find the interest Adrian will pay on the loan.
Answer:
Step-by-step explanation:
500*5%= $25.00 interest
A diverging lens with a focal length of 50 cm is placed 100 cm from a flower. Where is the image? What is its magnification?
The image distance is 33.3 cm and the magnification is 0.333 .
In the question ,
it is given that
since the lens is diverging
the focal length (f) = -50 cm
the distance between flower and diverging lens (u) = -100
the formula to find the image distance is given by the equation
1/f = 1/v - 1/u
Substituting the values of f and u in the equation ,
we get
-(1/50) = 1/v - (-1/100)
1/v = -1/50 - 1/100
1/v = -3/100
v = -(100/3)
v = -33.33
formula for magnification = -(v/u)
= -(-33.33/100)
= 0.33
Therefore , The image distance is 33.3 cm and the magnification is 0.333 .
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What is the area of the trapezoid?
Answer:
36 cm
Step-by-step explanation:
I’ll give brainliest don’t solve just check!
Answer:
Yep
Step-by-step explanation:
Yep. Checking this, all of these are correct. Range on parabolas and absolutes will always go to infinity. Nice work
Who can help me with my question please I really need help
(6 x 9) + (28 x 7) = 250
250 goes in the box
pls give this Brainliest
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
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The resale value of a certain industrial machine decreases over a 8-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 200(x - 8) dollars per year. By how much does the machine depreciate during the fifth year
Answer: The machine depreciates during the fifth year by $4000.
Step-by-step explanation:
Given: The resale value of a certain industrial machine decreases over a 8-year period at a rate that changes with time.
When the machine is x years old, the rate at which its value is changing is 200(x - 8) dollars per year.
Then, the machine depreciates A(x) during the fifth year as
\(A(x) =\int^{5}_1200(x - 8)\ dx\\\\=200|\frac{x^2}{2}-8x|^{5}_1\\\\=200[\frac{5^2}{2}-\frac{1^2}{2}-8(5)+8(1)]\\\\=200 [12-32]\\\\=200(-20)=-4000\)
Hence, the machine depreciates during the fifth year by $4000.
These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
A. The Vertical Scale
Step-by-step explanation:
the other one has more value than the other....And i got it right from
---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------
hope this helps. :P
How does one find the inverse function of f(x)= \(\frac{1}{3x-1}\)
Answer:
\(\displaystyle f^{-1}(x)=\frac{1+x}{3x}\)
Step-by-step explanation:
The Inverse of a Function
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
\(\displaystyle y=\frac{1}{3x-1}\)
* Solve the equation for x.
Multiply by 3x-1
\(y(3x-1)=1\)
Divide by y:
\(\displaystyle 3x-1=\frac{1}{y}\)
Sum 1:
\(\displaystyle 3x=\frac{1}{y}+1\)
Operate the right side:
\(\displaystyle 3x=\frac{1+y}{y}\)
Divide by 3:
\(\displaystyle x=\frac{1+y}{3y}\)
* Swap the variables:
\(\displaystyle y=\frac{1+x}{3x}\)
Write back into function form:
\(\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}\)
Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Describe the difference between the calculation of population standard deviation and sample standard deviation.
Answer:
Step-by-step explanation:
During the calculation of any population standard deviation, the sum of the squared deviation is usually divided by N, which is the number of data entry in the population. Thereafter, the square root of the result would be taken.
On the other hand, during the calculation of the sample standard deviation, the sum of the squared deviations is usually divided by n - 1, with n being number of entries in the sample data set. Thereafter, the square root of the result would be taken.
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
Given u = LeftAngleBracket 8, 0 RightAngleBracket and v = LeftAngleBracket negative 1, negative 2 RightAngleBracket, what is v – u? LeftAngleBracket negative 9, negative 2 RightAngleBracket LeftAngleBracket negative 8, 0 RightAngleBracket LeftAngleBracket 9, 2 RightAngleBracket LeftAngleBracket 10, 1 RightAngleBracket
ANSWER: A
-9,-2
Answer:
It is A
Step-by-step explanation:
EDGE 2020
Answer:
A
Step-by-step explanation:
Yeah it's A, edg 2023
Solve for x
C. 120
2x
3x
D. (2x+6)
X
126
Answer:
x=32
Step-by-step explanation:
i took the test
10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days
Answer:
C. 16 days
Step-by-step explanation:
Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.
If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.
2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.
4 more workers join to complete the job, so we now do 12 work each day.
150 - 54 = 96
96 work is left to do, which would be done in 8 days by 12 workers.
8 days + 8 days = 16 days
Which of the following terms describes the 2 in the expression 5x - 3y + 2z + 1?
Answer:
coefficient
Step-by-step explanation:
it has three terms