The perimeter of the figure using the given side lengths is 12x - 10
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape.
For all regular quadrilaterals, you add up the side lengths to determine the area
How to find the perimeter of the figure using the given side lengths?From the given figure, we have the side lengths to be:
x, 2x + 5, 6x - 17 and 3x + 2
Add these side lengths
So, we have
Perimeter = x + 2x + 5 + 6x - 17 + 3x + 2
Evaluate the like terms
Perimeter = 12x - 10
Hence, the perimeter of the figure using the given side lengths is 12x - 10
Read more about perimeter at
https://brainly.com/question/24571594
#SPJ1
Solve using substitution.
y = –6
–8x − 7y = –6
Okay so you put -6 in where y is then solve and youll get your answer
-8x-7(-6)=-6
Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answer:
The answer is Zack garden
fill in th blank. in any circle it takes diameters to equal the circumference a. 3 1/14 brainly
Given the following statement:
In any circle, it takes ------ diameters to equal the circumference
As we know, the circumference = 2πr = π d
So, the answer will be π which is ≈ 3.142
The decimal part = 0.142 ≈ 1/7
So, the answer will be option B. about 3 1/7
The number of students earning master's degrees in mathe
g(x) = 7x² -226x + 4941, where x represents the number o
mathematics or statistics in that country in 2009.
The number of students earning master’s degrees in mathematics or statistics in the country in 2009 was 4474.
We are given that;
g(x) = 7x² -226x + 4941
Now,
To find the number of students in 2009, we need to plug in x = 9 into the function g(x), since 2009 is 9 years after 2000.
g(9) = 7(9)² -226(9) + 4941
g(9) = 7(81) -2034 + 4941
g(9) = 567 -2034 + 4941
g(9) = 4474
Therefore, according to the function g(x) the answer will be 4474.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
Need help explain to me
9514 1404 393
Answer:
A) (20 miles)/(1 gallon) = 20 miles per gallon
B) 20/1 = 20
Step-by-step explanation:
After you read the problem statement and identify the questions being asked, it is a good idea to look carefully at the given information. Graphs A and B are identical in every way.
The vertical axis is labeled "y" and "Distance (miles)". The horizontal axis is labeled "x" and "Gallons". The graph starts at (0 gallons, 0 miles) and goes through points on the grid that are 2 squares up for each 1 square to the right. Each square up represents 10 miles. Each square to the right represents 1 gallon.
__
A) Pick two points on the graph. It is usually convenient to choose points where the graph crosses grid intersections. It is often convenient to choose one of them as (0, 0) if that point is on the graph (it is). I expect it to be convenient to choose the second point as (1 gallon, 20 miles).
The change in distance between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (20 miles) - (0 miles) = 20 miles.
The change in gallons between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (1 gallon) - (0 gallons) = 1 gallon.
The ratio of these changes is (20 miles)/(1 gallon) = 20 miles per gallon.
__
B) We can use the same two points. Here, we basically ignore the units.
Change in y = 20-0 = 20.
Change in x = 1 -0 = 1.
Slope = 20/1 = 20.
_____
Additional comment
For many problems, I find it convenient to keep the units with the numbers. Making sure the units work out properly is called "units analysis." Doing that can save you from a number of mistakes where units are involved.
Units can be treated just like a variable--multiplied, divided, raised to a power, cancelled from fractions. And, like with variables, terms can only be added or subtracted if they have the same units.
Here, we have ...
\(\dfrac{\text{change in distance}}{\text{change in gallons}}=\dfrac{20\text{ miles}}{1\text{ gallon}}=\dfrac{20}{1}\times\dfrac{\text{miles}}{\text{gallon}}=20\text{ miles per gallon}\)
Note that "divided by" and "per" mean essentially the same thing in this context.
As you can see from the work done with Graph A, the slope of the line has units that are the ratio of the units of the y-axis to the units of the x-axis. (miles/gallon) Even though in Graph B, we write the slope as 20 without any units, it will only make any sense to use that number where units of miles/gallon make sense.
Raj encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear
25
c-1² ₂]
text code for each letter by the matrix C=
85
38 46
location of spaces after you decode the text.
representing the encoded text is
to get a matrix that represents the encoded text. The matrix
111 135 111 95
101 153
55 45 41 44 64
4
What is the secret phrase? Determine the
The solution is, the answer is: The color is blue (D).
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
here, we have,
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
To learn more on matrix click:
brainly.com/question/28180105
#SPJ1
Answer: D
Step-by-step explanation:
Answer the question.
The distance from the Earth to the Sun is about 1.5 x 108 km, while the distance from the Earth to the
moon is about 3.8 x 105 km. If a scale model of the solar system is constructed so that the distance
from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the moon?
Select one:
O a. 39, 474 m
O b.
39.5 m
O c. 6.36 m
O d. 0.25 m
The distance from the Earth to the moon, in the scale model, is d. 0.25 m
As per the known fact, ratio of measurement in real is equal to the ratio of measurement on scale. Further, ratio will be calculated in this case as -
Distance from Earth to Sun in real : Distance from Earth to Moon in real = Distance from Earth to Sun on scale : Distance from Earth to Moon on scale
Keep the values in mentioned relation to find the distance from Earth to Moon.
1.5×10⁸:3.8×10⁵ = 100:distance from Earth to Moon on scale
Distance from Earth to Moon on scale = 100×3.8×10⁵/1.5×10⁸
Distance from Earth to Moon on scale = 0.25 m
Therefore, the correct option for distance is d. 0.25 m.
Learn more about scale factor -
https://brainly.com/question/2826496
#SPJ1
PLSS HELP ILL GIVE POINTS!!!!
The fee for a cleaning service is described in the table below.
Write an equation to represent the data in the table.
Answer:
y=16x+36
Step-by-step explanation:
cleaning services start at $36 for one hour and add $16 to total price per hour.
16(1)+36=52
16(2)+36=68
16(3)+36=84
16(4)+36=100
Given that AABC: ADEF, MB and the ratio of AB LO DE Which of the following could be the lengths of B and EF? BC 4. EF-6 BC 3,9 OBC3, EF 10 BC-3, EF =12
____________________________________________________
AB / DE = BC / EF = 1/3
________________
Options
BC / EF = 4/6 = 2/3 (not possible)
BC / EF = 3/9 = 1/3
BC / EF = 3 /10 (not possible)
BC / EF = 3/12 = 1/4 (not possible)
______________________
Answer
BC / EF = 3/9 = 1/3
3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2
Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2
Find the area of the shaded part of the figure if a=6, b=7, c=4. (I need help on this)
To obtain the area(A) of the shaded part of the figure, we will sum up the area of the triangle and the area of the rectangle.
Let us solve the area of the triangle(A1) first,
The formula for the area of the triangle is,
\(A_1=\frac{1}{2}\times base\times\text{height}\)where,
\(\begin{gathered} base=b=7 \\ height=a=6 \end{gathered}\)Therefore,
\(A_1=\frac{1}{2}\times7\times6=21unit^2\)Hence, the area of the triangle is 21 unit².
Let us now solve for the area of the rectangle(A2)
The formula for the area of the rectangle is
\(A_2=\text{length}\times width\)Where,
\(\begin{gathered} \text{length}=b=7 \\ \text{width}=c=4 \end{gathered}\)Therefore,
\(\begin{gathered} A_2=7\times4=28 \\ \therefore A_2=28\text{unit}^2 \end{gathered}\)Hence, the area of the rectangle is 28unit².
Finally, the total area of the shaded area is
\(\begin{gathered} A=A_1+A_2=21+28=49 \\ \therefore A=49unit^2 \end{gathered}\)Hence, the area of the shaded part is 49unit² (OPTION A).
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer:
136
Step-by-step explanation:
Area of top and bottom added together:
(6) (7) + (6) (7)
42 + 42
84
Area of front and back added together:
(7) (2) + (7) (2)
14 + 14
28
Area of left and right added together:
(2) (6) + (2) (6)
12 + 12
24
Add all underlined numbers:
Area of top and bottom + Area of front and back + Area of left and right
84 + 28 + 24
136
Pls help will give brainlist
A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and width of the rectangle are 60 feet and 30 feet, respectively.
The area of the border is 105.53 feet².
We have,
The swimming pool is a combination of two shapes.
Rectangle:
Length = 60 feet
Width = 30 feet
Area = 60 x 30 = 1800 feet²
Semicircle:
Diameter = 30 feet
Radius = 15 feet
Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².
Now,
The area of the swimming pool.
= 1800 + 353.25
= 2153.25 feet²
Now,
Without the border.
Area of the swimming pool.
= rectangle area + semicircle area
= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14
= 1740 + 307.72
= 2047.72 feet²
Now,
The area of the border.
= 2153.25 - 2047.72
= 105.53 feet²
Thus,
The area of the border is 105.53 feet².
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ1
Joe works as a welder. He makes $8.50 an hour.
He gets time and a half for overtime(over 40 hours).
Joe worked 45 hours, what is his weekly pay
this week.
9514 1404 393
Answer:
$403.75
Step-by-step explanation:
Joe worked 45 -40 = 5 hours of overtime this week. "Time and a half" means he will be paid for an additional 5/2 = 2.5 hours, so his gross pay this week is ...
(45 +2.5)($8.50) = $403.75
Write the point-slope form of the equation of the line satisfying each of the following conditions. Then use the point-slope form to write the slope-intercept form of the equation in functional notation. Passing through (9,7) and (7,5)The point-slope form of the equation is?
we have the points
(9,7) and (7,5)
step 1
Find out the slope
m=(5-7)/(7-9)
m=-2/-2
m=1
step 2
Find out the equation in point-slope form
using
m=1 and point (9,7)
y-y1=m(x-x1)
substitute
y-7=(1)(x-9)
y-7=x-9 -------> equation in point slope form 1
using
m=1 and point (7,5)
substitute
y-5=(1)(x-7)
y-5=x-7 ---------> equation in point slope form 2
step 3
Convert to slope-intercept form
y-7=x-9 -----> y=x-9+7 ------> y=x-2 -----> equation in slope-intercept form
Convert to function notation
f(x)=x-2The city acquired more land next to the subdivision. If it decides to make each park 15.3 acres, how many additional acres would the parks occupy?
The additional acres that the parks occupy will be 33.75 acres.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, the additional acres that the parks occupy will be:
= (12.5 × 3) - 3.75
= 33.75 acres.
Note that the information is incomplete and the complete information is given below.
Learn more about word problem on:
brainly.com/question/21405634
#SPJ1
A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres
The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?
The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
for such more question on value
https://brainly.com/question/27746495
#SPJ8
Daisy and Oscar make £90 at a car boot sale. The split the money in the ratio 5:4. How much money did each of them make?
Answer:
Daisy made 50 and Oscar made 40.
Step-by-step explanation:
Daisy: Oscar: total
5 4 5+4 = 9
Taking the total made and dividing by 9.
90/9 = 10
Multiply each term in the ratio by 10.
Daisy: Oscar: total
5*10 4*10 9*10
50 40 90
Daisy made 50 and Oscar made 40.
F is a function that relates the price of a product to the revenue it will generate. If a price of $5 corresponds to $8,000 in revenue, which of the following correctly shows this relation using function notation?
The function that correctly shows this relation using function notation is f(5) = 8000
Functions are expressions separated by an equal sign. They have both dependent and independent variables.
From the given question, we have that F is a function that relates the price of a product to the revenue. From the statement;
Price is the dependent variable and product of revenue is the independent variable;
Let x be the product of revenue
f(x) be the price
If a price of $5 corresponds to $8,000 in revenue, this can be expressed as:
f(x) = 8000
since x = 5, then f(5) = 8000
Hence the function that correctly shows this relation using function notation is f(5) = 8000
Learn more here: https://brainly.com/question/21919554
Probability is the chance that some event will occur or a guarantee.
A parallelogram is (x + 5) cm long and
(x-8) cm wide. Find the perimeter of
If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.
What is the perimeter?The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.
One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.
Let x represent the perimeter P of the parallelogram:
P = 2(x + 5) + 2(x - 8)
Simplify
P = 2x + 10 + 2x - 16
P = 4x - 6
Therefore we can conclude that the perimeter of x is 4x - 6 cm.
Learn more about perimeter here:https://brainly.com/question/397857
#SPJ1
The complete question is:
A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.
Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
Dr. Grumman got his first job in 2016. In that year, the government took out 6.2% of a person's income for Social Security, until a person made $118,500. If Dr. Grumman earned $131,340 in 2016, how much did he pay to Social Security?
Dr. Grumman will pay $8143.08 to Social Security .
Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year Dr. Grumman earned $131,340 .
To find : how much Dr. Grumman paid to Social Security
Calculation :
The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340
Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .
Therefore , Dr. Grumman will pay $8143.08 to Social Security .
To learn more on social security follow link :
https://brainly.com/question/27784476
#SPJ1
Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year Dr. Grumman earned $131,340 .
To find : how much Dr. Grumman paid to Social Security
Calculation :
The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340
Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .
Therefore , Dr. Grumman will pay $8143.08 to Social Security .
To learn more on social security follow link :
brainly.com/question/27784476
#SPJ5
i will give brainlist plssssssssssss
Step-by-step explanation:
Part A would be 8 and 11 because both of those were 0, which is as little as you can get
Part B, we just count the dots, which is 20. 20 students
(-6, 5), (-5, 6), (8, 2) a function?
Answer:
it is
Step-by-step explanation:
cause there are no repeating numbers
Answer:
Yes
Step-by-step explanation:
A function means that the relation between the x and y values are unique. By this statement, it is meant that each x value can only correspond to a single y value.
Hence,
(-6, 5), (-5, 6), (8, 2) is a function.
What is the value of 3 minus (negative 2)?
A number line going from negative 5 to positive 5.
Answer:
5
Step-by-step explanation:
3-(-2) will become positive 5. so number line will go towards positive 5.
An observer is standing 30 feet from a flagpole. She is looking at the top of the flagpole. How tall is the flagpole? Round to
the nearest tenth if necessary.
Answer:
21.7feet
Step-by-step explanation:
To get the height of the pole we will use the pythagoras theorem as shown;
Given
Hypotenuse = 37ft
Adjacent = 30ft
Required
opposite= x
37^2 = x^2 + 30^2
x^2 = 37^2 - 30^2
x^2 = 1,369 - 900
x^2 = 469
x = √469
x = 21.65
x ≈ 21.7feet
Hence the value of x is 21.7feet
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
For such more question on parentheses
https://brainly.com/question/172904
#SPJ8
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations