The number of toy robots on the assembly line that will be approved by the quality-control inspector is 155.904 robots.
What is the number of robots approved?Percentage of toy robots on an assembly line approved = 76.8%
Number of toy robots on an assembly line = 203
Number of toy robots on an assembly line approved = Percentage of toy robots on an assembly line approved × Number of toy robots on an assembly line
= 76.8% × 203
= 0.768 × 203
= 155.904 robots.
In conclusion, 155.904 robots will be approved on the assembly line by the quality-control inspector.
Read more on percentage:
https://brainly.com/question/843074
#SPJ1
Three numbers have ratio 1 : 2 : 3, and their sum is 48. What is the greatest of these three numbers?
Answer:
24
Step-by-step explanation:
You want the largest of three numbers that have the ratios 1 : 2 : 3 and have a sum of 48.
SumThe sum of the ratio units is 1+2+3 = 6. The largest number is 3/6 = 1/2 of the sum:
(1/2) · 48 = 24
The greatest of the three numbers is 24.
__
Additional comment
The other two numbers are 8 and 16.
please help asap 20 points!! and brainlest hurry please
An equation for the boiling point of this liquid is y = -0.001845x + 214.37. Also, the boiling point of this liquid at 2600 ft is equal to 209.573°F.
How to write an equation for the boiling point of this liquid?In order to write an equation for the boiling point of this liquid, we would have to first calculate its slope because the relationship between altitude and the boiling point of this liquid is linear.
Mathematically, the slope of any linear equation can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided about the altitudes and boiling points of this liquid, we have the following parameters:
Point (x, y) = (8300, 199.06)
Point (x, y) = (4300, 206.44)
Substituting the given points into the formula, we have;
Slope, m = (206.44 - 199.06)/(4300 - 8300)
Slope, m = 7.38/-4000
Slope, m = -0.001845
At point (8300, 199.06), the equation of this line is given by:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the data points.y - 199.06 = -0.001845(x - 8300)
y - 199.06 = -0.001845x + 15.31
y = -0.001845x + 15.31 + 199.06
y = -0.001845x + 214.37
Now, we can calculate the boiling point of this liquid at 2600 ft:
y = -0.001845(2600) + 214.37
y = -4.797 + 214.37
y = 209.573°F.
Read more on slope here: brainly.com/question/6843937
#SPJ1
Complete Question:
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8300 ft, the liquid boils at 199.06°F. At an altitude of 4200 ft, the liquid boils at 206.44°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2600 ft?
what is 1+2????
PLS HELP I will give brainliest
Answer:
3
Step-by-step explanation:
2+1 = 3
Answer:
3 ( 1 + 2 = 3)
Step-by-step explanation:
How did i get the answer 3?
Simple for example if you have 1 cookie's and your other two friend's have cookie's to. but they decide they don't want them so they give it to you well if you have 1 cookie and you get 2 more your adding more cookies to you collection.
what does it look like in problem form?
It look's like this:
1 + 2 = 3
in total you will have 3 cookies.
Sales man is paid 5% of his sales as commission. His sales for last month were 2020. How much commission was he paid
The commission the sales man was paid is 101
What is commission?A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.
For example, if a man is to be given a commission of 10%. And he made a sales of $10000. Therefore his commission is 10/100× 10000 = $1000
The commission of the sales man is 5% of his total sales
His total sales is 2020
Therefore the commission the sales man will be paid is 5/100× 2020
= 10100/100
= 101
learn more about commission from
https://brainly.com/question/26283663
#SPJ1
evaluate the integral. (use c for the constant of integration.) ∫ tan^3(x)sec^6(x)dxI am stuck on the first step.According to my book, it says "if the power of the secant is even, save a factor of sec^2(x) and use sec^2(x) = 1 + tan^2(x) to express the remaining factors in terms of tan(x)If the power of tangent is odd, save a factor of sec(x)tan(x) and use tan^2(x) = sec^2(x) - 1 to express the remaining factors in terms of sec(x).The power of tangent is odd and the power of secant is even, what should I do next? Can I apply both rules to the equation? Or will it be wrong? Please show steps and help guide me.
Answer:
[tex]\displaystyle {\frac{sec^8(x)}{8}-\frac{sec^6(x)}{6}+C}[/tex]
Step-by-step explanation:
[tex]\displaystyle \int {\tan^3(x)\sec^6(x)} \, dx\\\\=\int {\tan^2(x)\sec^5(x)\tan(x)\sec(x)} \, dx\\=\int {\bigr(\sec^2(x)-1\bigr)\sec^5(x)\tan(x)\sec(x)} \, dx\\[/tex]
Now let [tex]u=\sec(x)[/tex] and [tex]du=\tan(x)\sec(x)dx[/tex]:
[tex]\displaystyle \int {\bigr(u^2-1\bigr)u^5} \, du\\\\=\int {u^7-u^5} \, du\\\\=\frac{u^8}{8}-\frac{u^6}{6}+C\\\\=\bold{\frac{sec^8(x)}{8}-\frac{sec^6(x)}{6}+C}[/tex]
So, because the tangent term was odd and the secant term was even, we had to break it up so we could have the factor sec(x)tan(x), and then turn tan²(x) into sec²(x)-1. Also, because the derivative of sec(x) is sec(x)tan(x), the substitution becomes really simple as you see above.
A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if the length has to be 30 yards?
Round to the nearest tenth.
If a school wants to build a rectangular playground that will have a diagonal length of 75 yards. The wide of the playground be if the length has to be 30 yards is: 68.7.
How to find the width of the playground?Using Pythagoreans theorem to find the width of the playground
c² = √a² - b²
Where:
c = Width
a = 75 yards
c = 30 yards
So,
c² = √75² - 30²
c² = √5,625 -900
c² = √4,725
c= 68.7
Therefore we can conclude that the width is 68.7.
Learn more about width here:https://brainly.com/question/25292087
#SPJ1
Using Pythagoras theorem, the width is 68.74 yards
What is Pythagoras TheoremThe Pythagorean Theorem is a fundamental mathematical principle that states that in a right triangle (a triangle with one angle equal to 90 degrees), the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
It can be expressed mathematically as:
c^2 = a^2 + b^2
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
To solve this problem, we have to take the diagonal as the hypothenuse and the length as one of the legs.
75² = 30² + b²
b² = 75² - 30²
b = 68.74yds
Learn more on Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ1
Write an equation for the line of best fit and then predict how much money travelers will spend in 2008. a. y = 2 x 380; travelers will spend about $410 billion in the year 2008. b. y = 2 x 320; travelers will spend about $350 billion in the year 2008. c. y = 20 x 320; travelers will spend about $620 billion in the year 2008. d. y = 20 x 380; travelers will spend about $680 billion in the year 2008.
The line of the equation should be y = 20x + 320 and travelers will spend about $620 billion in the year 2008. So, the option c is correct.
In the given question, we have to write an equation for the line of best fit and then predict how much money travelers will spend in 2008.
The graph of the question is given below:
From the graph the points are (1.5, 350) and (4, 400)
As we know that the formula of the equation of line is:
y-y(1) = {y(2)-y(1)}/{x(2)-x(1)} (x-x(1))
x(1) = 1.5, y(1) = 350, x(2) = 4 and y(2) = 400
Now putting the values
y-350 = (400-350)/(4-1.5) (x-1.5)
y-350 = 50/2.5 (x-1.5)
y-350 = 20(x-1.5)
y-350 = 20x-30
Add 350 on both side, we get
y = 20x + 320
So, the line of the equation should be y = 20x + 320.
So that travelers will spend about $620 billion in the year 2008.
Hence, the option c is correct.
To learn more about line of the equation link is here
brainly.com/question/21511618
#SPJ4
What is the minimum value of the function y=|x+3|−2?
The minimum of the absolute value function:
y = |x + 3| - 2
is y = -2.
What is the minimum value of the function?Here we want to find the minimum value of the absolute value function:
y = |x + 3| - 2
Now, this is an absolute value function that opens upwards, then the minimum is at the vertex.
Remember that for an absolute value function:
y = |x - a| + b
The vertex is at (a, b)
So for our function:
y = |x + 3| - 2
The vertex is at (-3, -2)
And the minimum is the y-value of that point, so the minimum of the function is y = -2
Learn more about absolute value functions:
https://brainly.com/question/3381225
#SPJ1
a jet takes 7 hours to travel a distance of 4704 miles against the wind. The return trip takes 6 hours with the wind. What is the rate of the jet in still air and what is the rate of the wind
The speed of the airplane is 728.5km/hr. The speed of the wind is 56 km/hr.
Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Let the speed of the airplane in still air being [tex]v_{a} kmh^{-2}[/tex]
Let the speed of the wind be [tex]v_{a} kmh^{-2}[/tex]
Therefore, the ongoing speed is [tex]v_{a} - v_{m}= 4707/7 .......................(i)[/tex]
And the return journey is [tex]v_{a} - v_{m}= 4707/6 .......................(ii)[/tex]
Solving equations (i) and (ii) we get,
[tex]2v_{a} = 4707/7 - 4707/6 = 4707(\frac{1}{7} +\frac{1}{6} )[/tex]
[tex]v_{a} = 728.5kmh^{-1}[/tex]
Thus, The speed of the airplane is 728.5km/hr.
Hence, [tex]2v_{w} = 4707/6 - 4707/7 = 4707(\frac{1}{6} +\frac{1}{7} )[/tex]
[tex]v_{m} = 56.0kmh^{-1}[/tex]
The speed of the wind is 56 km/hr.
To know more about speed visit: brainly.com/question/2004627
#SPJ4
As per the given distance, the rate of the jet in still air is 728 km/h and the rate of the wind is 56 km/h
Here we have given that a jet takes 7 hours to travel a distance of 4704 miles against the wind. The return trip takes 6 hours with the wind.
Here let us consider that L1 refers speed of the airplane in still air be and L2 refers the speed of the wind be.
Then the on going speed is written as,
=> L1 - L2 = 4704/7
And the return journey is written as,
=> L1 + L2 = 4704/6
When we Solving equations, then we get,
=> 2L1 = 4704/7 + 4704/6
=> 84L1 = (6 x 4704) + (4704 x 7)
=> 84L1 = 61152
=> L1 = 728
Then the value of L2 is
=> L2 = 4704/6 - 728
=> L2 = 336/6
=> L2 = 56
To know more about Distance here.
https://brainly.com/question/4199102
#SPJ4
Coby sells apples and bananas at his fruit store. He charges $6 for a pound of bananas, and $8 for a pound of apples. If a customer buys a total of 13 pounds of fruit and is charged $92, how many pounds of bananas did he buy? Also, how many pounds of apples did he get?
Answer:
6 bunches of bananas7 pounds of applesStep-by-step explanation:
We have to assume that a "piece of fruit" is either a bunch of bananas or a pound of apples. Without that assumption, there is insufficient information to work the problem.
Let B represent the number of bunches of bananas. Then 13-B is the number of pounds of apples. The total cost is ...
6B +8(13 -B) = 92
-2B + 104 = 92 . . . . . eliminate parentheses
B = -12/-2 = 6 . . . . . . subtract 104, then divide by the coefficient of B
13-B = 7 . . . . . . . . . . . the number of pounds of apples
The customer bought 6 bunches of bananas and 7 pounds of apples.
Hoped This Helped!
GEOMETRY PLEASE HELPP
Answer:
what do you need help on?
A straw is placed inside a rectangular box that is 9 inches by 10 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, the length of the straw is 13.5 inches.
How to find the length of the diagonal?The question is addressing the rectangular box of lengths 10 by 9 by 3
The lengths to be used are the length and the height of the rectangular box
Using the Pythagoras rule that says that in a roght angled triangle, the square on the hypothenuse side is equal to the sum of the squares on the other two sides
This implies that
d² = 10²+9²
d²=100+81
d²=181
d=√181
d=13.5 inches
Therefore, the length of the straw is 13.5 inch
Learn more about diagonal of a box on https://brainly.com/question/12274248
#SPJ1
When a class interval is expressed as: 100 up to 200, A. Observations with values of 100 are excluded from the class frequency B. Observations with values of 200 are included in the class frequency C. Observations with values of 200 are excluded from the class frequency D. The class interval is 99
The correct answer is (Option B): Observations with values of 200 are included in the class frequency.
When a class interval is expressed as "100 up to 200," it means that the class includes all observations with values greater than or equal to 100 and less than or equal to 200. So observations with a value of 200 would be included in the class frequency.
A. Observations with values of 100 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 100 would be included in the class frequency.
B. Observations with values of 200 are included in the class frequency - This is correct, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.
C. Observations with values of 200 are excluded from the class frequency - This is incorrect, as a class interval typically includes the lower value but not the upper value. For example, if the class interval is 100 up to 200, then observations with values of 200 would be included in the class frequency.
D. The class interval is 99 - This is incorrect, as the class interval is specified as 100 up to 200, not 99. The class interval is the range of values that are grouped together for the purpose of counting the frequency of observations.
Therefore, The correct answer is (Option B): Observations with values of 200 are included in the class frequency.
To learn more about Class intervals,
Visit; brainly.com/question/19473137
#SPJ4
In a small-group discussion, Leo is trying to explain to his classmates the purpose of the analogy in the following excerpt from an article:
To build a strong debate team, Mr. Gonzalez starts with a strong foundation: He recruits students who are interested in current events and are willing to put in the necessary time and effort. He then forms the framework by providing students with the tools they need to construct solid arguments.
The accurate statement based on the information is that B. The author compares building a debate team to building a house to help readers understand the importance of each step in the process.
How to illustrate the information?From the information, to strong debate team, Mr. Gonzalez starts with a strong foundation: He recruits students who are interested in current events and are willing to put in the necessary time and effort. He then forms the framework by providing students with the tools they need to construct solid arguments.
Based on the analogy, the author compares building a debate team to building a house to help readers understand the importance of each step in the process. The correct option is B.
Learn more about debate on:
https://brainly.com/question/2139588
#SPJ1
Complete question
In a small-group discussion, Leo is trying to explain to his classmates the purpose of the analogy in the following excerpt from an article:
To build a strong debate team, Mr. Gonzalez starts with a strong foundation: He recruits students who are interested in current events and are willing to put in the necessary time and effort. He then forms the framework by providing students with the tools they need to construct solid arguments.
Which of the following statements is accurate?
A.
The author compares building a debate team to building a house to help readers understand the challenge of recruiting eligible students.
B.
The author compares building a debate team to building a house to help readers understand the importance of each step in the process.
C.
The author compares building a debate team to building a house to help readers understand the similarities between building and debating.
D.
The author compares building a debate team to building a house to help readers understand the contrast between literal tools and figurative tools
Thanks, in advanced!
I'll mark brainleist!
The function types of the table of values are
linear functionexponential functionHow to determine the function types
From the question, we have the following parameters that can be used in our computation:
The table of values
Function 1
In the table of values of this function, we have
x 2 3 4
y 5.5 7 8.5
In the above table of values, we can see that
As x increases by 1, the value of y constantly increase by 1.5
This means that the function is a linear function
This is so because of the constant increment
Function 2
In the table of values of this function, we have
x 0 3 6
y 1 8 6
In the above table of values, we can see that
As x increases by 1, the value of y is 2 to the exponent of the corresponding y value
i.e. y = 2^x
This means that the function is an exponential function
Read more about functions at
https://brainly.com/question/25638609
#SPJ1
Arnold had three pieces of different colored strings that are all the same length. Arnold cut the blue string into 2 equal size lengths. he cut the red string into 5equal-size length, and the green string into 10 equal-size. He needs to cut the strings so each color has the same number of equal-size lengths. What is the least number of equal size lengths each color string could have?
Answer:
10
Step-by-step explanation:
the least number of 2,5,10 is 10 .so we can cut red and blue pieces into 10 pieces each but green pieces stays the same. so we have total of 30 pieces.
Jen collects survey data which indicates that students who spend more time preparing for the AP test tend to do better than other students. Jen can now conclude that:
Preparing more for the AP test is associated with higher scores on the AP test.
The Relationship Between AP Test Preparation and PerformanceJen's data suggests that there is a correlation between the amount of time spent preparing for the AP test and the score that a student receives. This implies that there is a relationship between the two variables, and that increased preparation for the AP test is associated with higher scores. It is important to note, however, that this correlation does not necessarily imply causation. It is possible that students who are more likely to do well on the test are also more likely to put in more effort into preparing for it. Additional research would be needed to determine the exact nature of the relationship between the two variables.
Learn more about AP test: https://brainly.com/question/12622915
#SPJ4
Complete the table shown in the photo below.
Answer:
where x=0 , y=-3
where x=2 ,y =-3
where x= -2 ,y =5
where x= 4 , y = 5
Part C
Which operation should you perform last in the expression 12 x 4²?
Ali wants to use 210
one-centimetre cubes to mak
a cuboid such that each of its sides is longer than
1 cm. There are 6 possible cuboids that he can
make. Find the dimensions of any 3 of them.
So on solving the provided question, we can say that volume of cuboid = l X b X h; V = 1200 cubic cm
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic:
In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
volume of cuboid = l X b X h
V = 10 *10*12
V = 1200 cubic cm
To know more about cuboid visit:
https://brainly.com/question/29568631
#SPJ1
in an arthmrtic sequence beggining with 36 and ending with 405, how many integers are divisibe by 9?
The number of integers that are divisible by 9, given the arithmetic sequence beginning with 36 and ending with 405, is 42 integers
How to find the integers ?To find the integers that would be divisible by 9, in an arithmetic sequence beginning with 36 and ending with 405, find the multiples of 9 between 36 and 405.
This is because only the multiples of 9 are divisible by 9 and so the multiples of 9 between 36 and 405 would be the integers divisible by 9.
The multiples of 9 between 36 and 405 are :
36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405
This means that the number of integers divisible by 9 in the sequence would be :
42 integers
Find out more on integers at https://brainly.com/question/13798454
#SPJ1
hey can someone please help me with this math problem? thank you so much if possible :)
The solution for each system of equations is given as follows:
1. x = -4, y = 0.
2. x = 7, y = -2.
How to solve the system of equations?The first system of equations is defined as follows:
2x - y = -8.-3x + 4y = 12.By the substitution method, using the first equation, we have that:
y = 2x + 8.
Replacing in the second, we have that:
-3x + 4(2x + 8) = 12.
-3x + 8x + 32 = 12
5x = -20
x = -20/5
x = -4.
Hence the solution for y is given as follows:
y = 2(-4) + 8 = -8 + 8 = 0.
The second system of equations is defined as follows:
-3x - 6y = -9.-3x - 5y = -11.Multiplying the first equation by -1, we have that:
3x + 6y = 9.-3x - 5y = -11.Adding the two equations, the solution for y is obtained as follows:
y = -2.
Then the solution for x is calculated as follows:
3x + 6(-2) = 9
3x = 21
x = 21/3
x = 7.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Put in order from least to greater
-2y-5+6y²+5y³-5y²+2y³+4y
To put this expression in order from least to greatest, we first need to combine like terms.
-2y - 5 + 6y² + 5y³ - 5y² + 2y³ + 4y
= (-2y - 5 + 4y) + (6y² - 5y²) + (5y³ + 2y³)
= 2y - 5 + 6y² - 5y² + 7y³
Then, we can arrange the terms in order of increasing degree:
-2y - 5 + 6y² + 5y³ - 5y² + 2y³ + 4y= -5 + 2y + y² + 7y³
So the expression in order from least to greatest is: -5, 2y, y², 7y³
A man throws a basketball from 30 in. above the ground. The basketball bounces off the floor and a boy catches it. The distance the ball traveled from the man to the floor is 45 in., and the distance the ball traveled from the floor to the boy is 40 in. The angles formed from by the basketball's path are congruent. What is the distance, x, from the floor that the boy caught the ball
The man threw the basketball from 30 inches above the ground. It traveled 45 inches to the floor, then 40 inches to the boy, who caught it. The angles formed by the path were congruent. The distance from the floor to the boy catching the ball was 85 inches.
Distance from man to floor: 30 in. + 45 in. = 75 in.
Distance from floor to boy: 40 in.
Total distance: 75 in. + 40 in. = 115 in.
Distance from floor to boy catching the ball: 115 in. - 30 in. = 85 in.
The man threw the basketball from 30 inches above the ground. This is the distance from the man to the floor. The basketball then traveled 45 inches from the man to the floor, making the total distance 75 inches. It then traveled 40 inches from the floor to the boy who caught it. This makes the total distance 115 inches. To find the distance from the floor to the boy catching the ball, we subtract the distance from the man to the floor (30 inches) from the total distance (115 inches). This gives us a result of 85 inches, which is the distance from the floor to the boy catching the ball.
Learn more about distance here
https://brainly.com/question/28956738
#SPJ4
Picture included i need helppp...!!
If the base ten blocks shown are to be divided into 6 equal groups, what should be done first?
A. Exchange the 1 ten rod for 10 unit cubes.
B. Exchange 1 hundred flat for 100 unit cubes.
C. Exchange 1 hundred flat for 10 ten rods.
D. Exchange the 3 hundred flats for 30 ten rods.
If the base ten blocks shown are to be divided into 6 equal groups, you should first Exchange the 3 hundred flats for 30 ten rods. Option D
What are cubes?Generally, A cube is a three-dimensional solid object that is defined in geometry as having six square faces, facets, or sides, with three of these faces meeting at each vertex.
It has the appearance of a hexagon when seen from one of the corners, and the net is often represented as a cross. In addition to being one of the five Platonic solids, the cube is also the only regular hexahedron.
To divide the base ten blocks into 6 equal groups, you should first exchange the 3 hundred flats for 30 ten rods.
This will give you a total of 30 ten rods, which you can then divide into 6 equal groups of 5 ten rods each.
Alternatively, you could exchange the 3 hundred flats for 300 unit cubes and then divide the unit cubes into 6 equal groups.
Read more about cubes
https://brainly.com/question/28134860
#SPJ1
What is the value of m?
10
30
70
150
what is the value of m
10 (the answer)
30
70
150
Find the product. (3a4 4)2 6a4 8 9a8 16 9a8 24a4 16 9a16 24a4 16
The product of expression (3a⁴ + 4)² is 9a⁸ + 24a⁴ + 16
In this question we have been given an expression (3a⁴ + 4)²
We need to find the product (3a⁴ + 4)².
Consider given expression
(3a⁴ + 4)²
We use the formula (a + b)² = a² + 2ab + b²
So, (3a⁴ + 4)²
= (3a⁴)² + 2(3a⁴)(4) + (4)² ...............(1)
We know that the exponents property that, for any non-zero numbers p, q, r;
[tex](p^q)^r = p^{(q \times r)}[/tex]
So, from expression (1),
(3a⁴)² + 2(3a⁴)(4) + (4)²
= 9a⁽⁴ ˣ ²⁾ + (2 × 3 × 4)a⁴ + 16
= 9a⁸ + 24a⁴ + 16
Therefore, the product (3a⁴ + 4)² = 9a⁸ + 24a⁴ + 16
Learn more about an expression here:
https://brainly.com/question/30091997
#SPJ4
Find the values of the variables
Answer:
W = 59 degree
Y = 59 degree
Z = 53 degree
x = 121 degree
v = 121 degree
Step-by-step explanation:
W = 59 degrees because a triangle has a total of 180 degrees, and we know 2 of the angles, one is 31 degrees and the other is 90 degrees, so
90 + 31 = 121
180 - 121 = 59 degrees
So, W = 59 degrees
Y = 59 degrees because w and y are vertical angles.
z = 53 degrees because
68 + 59 = 127
180 - 127 = 53 degree
So, z = 53 degree
x = 121 degree, y = 121 degree because w, x, y, v add up to 360 degree
59 + 59 = 118
360 - 118 = 242
242 / 2 = 118 degree
So, x and y equal to 118 degrees.
If you can, please give me a Brainliest; thank you!
Which is the value of ƒ (11) when f (x) = 3x + 2?
A 3
B 25
C 35
D 39
Answer:
C
Step-by-step explanation:
The vertices of ADEF are D(2,5), E(6,3), and F(4,0)
Graph ADEF and its image when you translate ADEF using the vector (-2,-4).
Answer:
The resulting coordinate of △ D'E'F' is translated by the vector is (8, 5), (12,3), and (10, 0)
Given the coordinates of vertices of △ DEF as D (2, 5), E (6, 3), and F (4, 0).
If the coordinate of the vertices is translated by the vector (6, 0), the resulting coordinates of △ D'E'F' will be expressed as:
D'= (2+6, 5 + 0) = (8, 5)
E' = (6 + 6, 3 + 0) = (12, 3)
F' = (4 + 6, 0 + 0) = (10, 0)
The graph of both triangles is as attached;
learn more here: https://brainly.com/question/1046778
Step-by-step explanation: