Answer:
yes it is if you bisect 5m on a 12m line
Which phrase is represented by the expression 5x(36+9)
A. The product of 36 and 5, increased by 9
B. The product of 36 and 9, multiplied by 5
C. The sum of 36 and 9, multiplied by 5
D. The sum of 36 and 5, increased by 9
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 2
y ≥ –x2 + 5
To graph the solution set to the given system of inequalities, we first need to graph the functions f(x) = x^2 - 2 and g(x) = -x^2 + 5.
The graph of f(x) is a parabola that opens upward and has its vertex at (0, -2). The graph of g(x) is also a parabola, but it opens downward and has its vertex at (0, 5). We can plot these two graphs on the same coordinate plane as follows:
[Insert image of two parabolas on a coordinate plane]
Next, we need to shade the regions of the graph that satisfy the given inequalities. The first inequality y > x^2 - 2 represents the region above the parabola f(x) but below the line y = infinity. The second inequality y ≥ -x^2 + 5 represents the region at or above the parabola g(x). The solution set is the intersection of these two regions.
The shaded region represents all the points (x, y) that satisfy both inequalities, and therefore, the solution set to the system of inequalities.
You have $2000 to deposit into a bank account that earns simple interest. Use interest rates at local banks to find how much interest different accounts earn after four years. Compare the different accounts and decide which account you should use. Consider other fees associated with each account when making your decision.
Bank B would be the best option since it offers a higher interest rate than Bank A and does not have any fees.
How to compare different bank accounts?To compare different bank accounts, we need to know the interest rates offered by each bank. Let's assume that we have three local banks, each with a different interest rate: Bank A offers 2% interest, Bank B offers 2.5% interest, and Bank C offers 3% interest.
Using the formula for simple interest, we can calculate the amount of interest earned on the initial deposit of $2000 over four years for each bank:
Bank A: 2% interest per year
After four years, the interest earned is:
$2000 x 2% x 4 = $160
Bank B: 2.5% interest per year
After four years, the interest earned is:
$2000 x 2.5% x 4 = $200
Bank C: 3% interest per year
After four years, the interest earned is:
$2000 x 3% x 4 = $240
So, Bank C offers the highest interest rate and would earn the most interest over the four-year period. However, we also need to consider any fees associated with each account. Let's assume that Bank A and Bank B have no fees, but Bank C charges a $50 annual fee.
Bank A: Total amount after four years = $2000 + $160 = $2160
Bank B: Total amount after four years = $2000 + $200 = $2200
Bank C: Total amount after four years = $2000 + $240 - $50 x 4 = $1960
Even though Bank C offers the highest interest rate, the annual fee significantly reduces the total amount earned over four years. Therefore, Bank B would be the best option since it offers a higher interest rate than Bank A and does not have any fees.
Learn about interest rate here https://brainly.com/question/25793394
#SPJ1
PLEASE HELP ASAP
The table shows values for functions f(x) and g(x).
x f(x) g(x)
1 7 7
3 10 3
5 0 5
7 5 0
9 5 5
11 7 11
Which answers are solutions to the equation f(x)=g(x)?
Select each correct answer.
Responses
1
3
5
9
10
Answer:
955 11 7 11
3101 thats my answer
Step-by-step explanation:
10 and 3 thank you
Valerie bought a clownfish for $47 at the pet store. She planned to spend her remaining money on smaller fish that cost $9 each. If Valerie began with $120, which inequality could be used to find f, the number of smaller fish she can buy?
A 9 +47f≤ 120
B 47 +9f≤ 120
C 56+9f≤ 120
D 38 + 47f≤ 120
Answer:
Step-by-step explanation:
b
Answer:
47 + 9f [tex]\leq[/tex] 120
Step-by-step explanation:
B is the correct answer.
This shape is made by cutting out an equilateral triangle
from a square, like shown in this picture:
8 cm
Two of these shapes are then put together to make this
shape:
Work out the perimeter of this new shape.
The perimeter of the new shape is 32 cm + 8 * sqrt(3) cm.
What is perimeter?
Perimeter is a measurement of the distance around a two-dimensional shape. It is the total length of the boundary or outer edge of the shape. In other words, it is the sum of the lengths of all the sides of the shape.
First, let's find the length of each side of the equilateral triangle, which was cut out of the square. Since the triangle was cut from a square, its sides have the same length as the sides of the square. Therefore, each side of the equilateral triangle is 8 cm.
Now, let's find the perimeter of the new shape, which is made by joining two of these shapes together. The new shape consists of two equilateral triangles and a rectangle. The length of the rectangle is the same as the side length of the equilateral triangle, which is 8 cm. The width of the rectangle is the same as the height of the equilateral triangle, which can be found by applying the Pythagorean theorem to one of the triangles:
[tex]height^2 = side^2 - (1/2 * side)^2\\\\height^2 = 8^2 - (1/2 * 8)^2\\\\height^2 = 64 - 16\\\\height^2 = 48\\\\height = \sqrt{(48)}\\\\height = 4 * \sqrt{(3)}[/tex]
Therefore, the width of the rectangle is also [tex]4 * \sqrt{(3)} cm.[/tex]
The perimeter of the new shape can be found by adding up the lengths of all four sides:
Perimeter = 2 * (side of equilateral triangle) + 2 * (length of rectangle + width of rectangle)
[tex]Perimeter = 2 * 8 cm + 2 * (8 cm + 4 * \sqrt{(3)} cm)\\\\Perimeter = 16 cm + 16 cm + 8 * \sqrt{(3)} cm\\\\Perimeter = 32 cm + 8 * \sqrt{(3)} cm[/tex]
Therefore, the perimeter of the new shape is [tex]32 cm + 8 * \sqrt{(3)} cm.[/tex]
To learn more about perimeter visit:
https://brainly.com/question/397857
#SPJ1
How many ways can 5 different cards be dealt from a standard 52-card deck?
Answer:
there are 2,598,960 ways to deal 5 different cards from a standard 52-card deck.
Step-by-step explanation:
The number of ways 5 different cards can be dealt from a standard 52-card deck is given by the combination formula:
C(52,5) = 52! / (5! * 47!)
which simplifies to
C(52,5) = (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)
= 2,598,960
Calculate the area of the shaded region
4 ft 2 ft
8 ft
3 1/2 ft
5 ft.
Answer:
please let me know what is the name of the shape. Thank you
A basketball with a 12 cm radius is placed into a 24 cm x 24 cm x 24 cm box. The
amount of space inside the box but outside the basketball is
cm³
(Use 3.14 for 7).
The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.
We have to find the volume of the box and volume of the basketball to determine the space outside it.
Box is in rectangular shape.
Volume of the box = 24 × 24 × 24
= 13824 cm³
Basketball is spherical in shape.
Volume of the sphere = 4/3 π r³
= 4/3 π (12)³
= 2304π
= 7234.56 cm³
Amount of space inside the box but outside the basketball is,
13824 cm³ - 7234.56 cm³ = 6589.44 cm³
Hence the required space is 6589.44 cm³.
Learn more about Volume here :
https://brainly.com/question/16686115
#SPJ1
Use the given information to find a formula for the exponential function N = N(t). (Round the values to three decimal places.)
The initial value of N is 14. If t is increased by 6, the effect is to multiply N by 59.
the formula for the exponential function N(t) is N(t) = 14 * 59in power (t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
How to solve the question?
Let N(t) be the exponential function we are trying to find, where N is the population at time t.
From the given information, we know that when t=0, N(0) = 14, which is the initial value of N.
We also know that when t is increased by 6, N is multiplied by 59. In other words,
N(t+6) = 59N(t)
We can use this relationship to express N(t+6) in terms of N(t) by substituting N(t+6) with 59N(t) in the above equation, giving us:
59N(t) = N(t+6)
Now, we can use this equation to solve for N(t) in terms of N(0) by repeatedly substituting N(t) with 59N(t-6), 59²N(t-12), 59³N(t-18), and so on.
N(t) = 59 in power (t/6) * N(0)
Using the initial value of N(0) = 14, we get:
N(t) = 14 * 59 in power (t/6)
Therefore, the formula for the exponential function N(t) is N(t) = 14 * 59^(t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
To know more about function visit :-
https://brainly.com/question/11624077
#SPJ1
A swim team consists of 7 boys and 7 girls. A relay team of 4 swimmers is chosen at random from the team members. what is the probability that 3 boys are selected for the relay team given that the first selection was a girl? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.
According to question:Let's start by calculating the probability of selecting a girl first. Since there are 7 girls and 14 team members in total, the probability of selecting a girl first is:
P(Girl first) = 7/14 = 1/2
Now, we need to calculate the probability of selecting 3 boys from the remaining 13 team members (6 boys and 7 girls). We can do this using combinations:
Number of ways to select 3 boys from 6 = C(6,3) = 20
Number of ways to select 1 girl from 7 = C(7,1) = 7
Total number of ways to form a relay team of 4 from 13 = C(13,4) = 715
Therefore, the probability of selecting 3 boys from the remaining 13 team members is:
P(3 boys from 13) = (20*7)/715 = 4/143
Finally, we can use conditional probability to calculate the probability of selecting 3 boys given that the first selection was a girl:
P(3 boys | Girl first) = P(3 boys from 13)/P(Girl first)
= (4/143)/(1/2)
= 8/143
= 0.055944...
Rounded to the nearest millionth, the probability is 0.055945.
Therefore, the probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
If f(x)=x^2+10sinx, show that there is a number c such that f(c)=1000.
Answer:
Step-by-step explanation:
11. If using the method of completing the square to solve
the quadratic equation x² + 13x - 32 = 0, which
number would have to be added to "complete the square"?
The number that needs to be added to complete the square is 169/4
The number to be added to "complete the square"?To complete the square for the quadratic equation x² + 13x - 32 = 0, we need to add (13/2)² = 169/4 to both sides.
This is because the coefficient of x in the quadratic term is 13, so half of that is 6.5, and the square of that is 42.25, which simplifies to 169/4.
The equation will then become:
x² + 13x - 32 + 169/4 = 0 + 169/4
So the number that needs to be added to complete the square is 169/4, or 42.25.
Read more about complete the square at
https://brainly.com/question/13981588
#SPJ1
Compare the values for the following, which is greater: sin 100° or sin 250°? Use the sin wave to approximate
each value and label it on the graph.
The value "Sin 100°" is greater than "sin 250°", that is, sin 100° > sin 250°
Which is greater, sin 100° or sin 250°?To compare the values of sin 100° and sin 250°, we need to understand the behavior of the sine function. The sine function oscillates between -1 and 1 over a period of 360°, with its maximum value of 1 at 90° and its minimum value of -1 at 270°.
Using the sine wave, we can see that sin 100° is located in the second quadrant, where the sine values are positive, while sin 250° is located in the third quadrant, where the sine values are negative. Therefore, sin 100° is greater than sin 250°, because sin 100° has a positive value closer to the maximum value of 1, while sin 250° has a negative value closer to the minimum value of -1.
Read more about Sin
brainly.com/question/30232355
#SPJ1
Which quadratic functions have a graph with x-intercepts of -8 and 2? Select all that apply.
A-y=(x + 8)(x - 2)
D-f(x) = -2x² - 12x + 32
B-y=(x-8)(x - 2)
E-y=x²-5x + 8
F-f(x)=x²- 8x + 2
C-f(x) = -7(x + 8)(x − 2)
The quadratic functions that have a graph with x-intercepts of -8 and 2 are:
y = (x + 8)(x - 2)
f(x) = -7(x + 8)(x - 2)
Options A and C are the correct answer.
We have,
To find the quadratic functions that have a graph with x-intercepts of -8 and 2, we can start by using the fact that the x-intercepts occur when y = 0.
We know that the x-intercepts are -8 and 2, so we can set up two equations:
(x + 8) = 0 and (x - 2) = 0
Solving for x in each equation, we get:
x = -8 and x = 2
Therefore, the factors of the quadratic function that has x-intercepts of -8 and 2 are (x + 8) and (x - 2).
Now we can use these factors to determine which quadratic functions have a graph with these x-intercepts.
A.
y = (x + 8)(x - 2)
Expanding this quadratic function gives:
y = x² + 6x - 16
This function has x-intercepts of -8 and 2, so it is a valid option.
B.
y = (x - 8)(x - 2)
Expanding this quadratic function gives:
y = x² - 10x + 16
This function does not have an x-intercept of -8, so it is not a valid option.
C.
f(x) = -7(x + 8)(x - 2)
Expanding this quadratic function gives:
f(x) = -7x² - 42x - 96
This function does have x-intercepts of -8 and 2, so it is a valid option.
D.
f(x) = -2x² - 12x + 32
To find the x-intercepts of this quadratic function, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values from the given function, we get:
x = (-(-12) ± √((-12)² - 4(-2)(32))) / 2(-2)
x = (-(-12) ± √(144 + 256)) / (-4)
x = (6 ± √(100)) / 2
x = 3 ± 5
So the x-intercepts are -2 and 8, which means this function is not a valid option.
E.
y = x² - 5x + 8
To find the x-intercepts of this quadratic function, we can again use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values from the given function, we get:
x = (-(-5) ± √((-5)² - 4(1)(8))) / 2(1)
x = (5 ± √(9)) / 2
x = 4 or x = 1
So the x-intercepts are 4 and 1, which means this function is not a valid option.
F.
f(x) = x² - 8x + 2
To find the x-intercepts of this quadratic function, we can once again use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Plugging in the values from the given function, we get:
x = (-(-8) ± √((-8)² - 4(1)(2))) / 2(1)
x = (8 ± √(60)) / 2
x = 4 ± 2√(15)
So the x-intercepts are 4 + 2 √(15) and 4 - 2 √(15), which means this function is not a valid option.
Therefore,
The quadratic functions that have a graph with x-intercepts of -8 and 2 are:
A. y = (x + 8)(x - 2)
C. f(x) = -7(x + 8)(x - 2)
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
A hamburger restaurant wants to find out how many hamburgers it makes each hour. Use the following table to find the restaurants unit rate of hamburgers per hour.
According to the given data the unit rate of hamburgers per hour is 9 hamburgers per hour.
What is meant by unit rate?The unit rate is the rate of change of the number of hamburgers produced per hour.
According to the given information:To find the unit rate, we can use the formula:
Unit rate = (Number of hamburgers produced) / (Number of hours)
Using the information provided in the table, we can find the unit rate for the restaurant:
For 3 hours, the restaurant produced 27 hamburgers.
Unit rate = 27 / 3 = 9 hamburgers per hour
For 5 hours, the restaurant produced 45 hamburgers.
Unit rate = 45 / 5 = 9 hamburgers per hour
For 7 hours, the restaurant produced 63 hamburgers.
Unit rate = 63 / 7 = 9 hamburgers per hour
For 9 hours, the restaurant produced 81 hamburgers.
Unit rate = 81 / 9 = 9 hamburgers per hour
Therefore, the unit rate of hamburgers per hour for the restaurant is 9 hamburgers per hour.
To know more about unit rate visit:
https://brainly.com/question/29781084
#SPJ1
find the surface area of the square pyramid below
The surface area of the square base pyramid is 132 cm².
How to find the surface area of the square pyramid?The surface area of the square pyramid can be found as follows:
A square pyramid is a pyramid that has its base as square.
Therefore,
surface area of the square pyramid = base area + 2al
where
a = sides of the basel = height of the pyramidTherefore,
surface area of the square pyramid = 6² + 2 × 6 × 8
surface area of the square pyramid = 36 + 96
surface area of the square pyramid = 132 cm²
learn more on surface area here: brainly.com/question/24022178
#SPJ1
Match the orange graph above to the corresponding equation.
The equation for the orange graph is the one in the last option:
f(x) = -3x³
Which is the equation for the orange graph?We can see that the orange graph seems to be:
A cubic function.It has a negative leading coefficient, because when x > 0 the graph goes downwards.The graph is narrower than the parent cubic function, then the leading coefficient is larger than 1.From the given options, the only one that matches all these options is the last one:
f(x) = -3x³
Learn more about cubic functions at:
https://brainly.com/question/20896994
#SPJ1
Try These questions out and I’ll give you brainliest
Answer:
1) -8m
2) -x
3) -4y
4)
[tex] - 17x {y}^{3} [/tex]
5) p
6) 0
7) 15m + 10
8) r - 7
9) 5x - 22
10)
[tex]3 {m}^{2} [/tex]
11)
[tex]7 {x}^{2} - x[/tex]
12) 22pq - 8p
13)
[tex] - 13 {r}^{2} - 6r[/tex]
14) -19
15) 0
16) 3.07y
17)
[tex] - 4 {m}^{2} - 35m[/tex]
18)
[tex]x {y}^{2} - 3 {x}^{2} y[/tex]
19) .3mn + 4.7m
20) 3r + 2j + m + 3
21)
[tex] - 4 {x}^{2} - 16x + 11[/tex]
22)
[tex]3 {y}^{4} - {y}^{2} + 11[/tex]
Solve the system algebraically.
y= 3-1/2x
3x+4y=1
What is the value of x?
1. 17/2
1. -11
3. 11
Answer: x = -11
Step-by-step explanation:
Sub in y= 3-1/2x into 3x+4y=1 for y, and solve for x.
[tex]3x+4(3-\frac{1}{2}x) =1\\3x + 12 - 2x =1\\\\\ x = -11[/tex]
Working alone, Lisa can pick forty bushels of apples in 13 hours. One day her friend Cody helped and it only took them 4.8 hours to do it together. Find out how long it would take Cody to do it alone.
it would take Cody 40 bushels / 5.26 bushels per hour = 7.61 hours to pick 40 bushels of apples alone.
How to find Lisa's individual work?To begin, let's determine Lisa's individual work rate, or the amount of work she can complete in an hour.
The work formula states that the amount of work completed is equal to the product of the work rate and the amount of time spent working. Lisa's work rate is 40 bushels divided by 13 hours equals 3.08 bushels per hour.
Let C represent Cody's work rate, and let t represent the amount of time it takes him to pick 40 bushels on his own.
At the point when Lisa and Cody cooperate, they pick 40 bushels, so we can compose:
Lisa's work + Cody's work = Total work
3.08 bushels/hour * 4.8 hours + C * 4.8 hours = 40 bushels
14.78 + 4.8C = 40
4.8C = 25.22
C = 5.26 bushels per hour
Consequently, it would take Cody 40 bushels/5.26 bushels each hour = 7.61 hours to pick 40 bushels of apples alone.
know more about fraction visit :
https://brainly.com/question/6201432
#SPJ1
What's the answer to this???????
The x-intercept represents:
"The number of hours the taxi was driven before running out of fuel"
What does the x-intercept represent?In standard notation, the variable x is the independent variable in the horizontal axis, here we can see that in the horizontal axis we are measuring the time (in hours) that the taxi was driving.
Then the x-intercept (the time when y = 0) is the number of hours until the fuel is down to zero, then the correct option is B i guess, but it should be worded as:
"The number of hours the taxi was driven before running out of fuel"
Learn more about x-intercepts at:
https://brainly.com/question/3951754
#SPJ1
A flagpole is 12 feet fall. Its shadow is
11 feet long. How far is it from the top of the flagpole to the end of its shadow?
Step-by-step explanation:
You are looking for the hypotenuse of a right triangle with legs of 12 and
11 feet
Using Pthagorean theorem
hypot^2 = 12^2 + 11^2
hypot^2 = 265
hypot = sqrt (265) = 16.28 ft
what is the answer (x+80)(x-20)
Answer:
Using the FOIL method to multiply (x + 80)(x - 20), we get:
(x + 80)(x - 20) = x^2 - 20x + 80x - 1600
Simplifying the expression, we get:
(x + 80)(x - 20) = x^2 + 60x - 1600
Therefore, the answer is x^2 + 60x - 1600.
HELP PLEASE!!
refer to picture!!
The null and alternative hypotheses that apply are as follows:
H0: p ≤ 0.54, which claims that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
H₁: p > 0.54, according to the alternative hypothesis, asserts that the rate of students concluding the course with an A, B, or C grade in its experimental form must be above 54%.
How to explain the hypothesisThe letter "p" represents the proportion of student grades in the experimental program who reach either A, B, or C levels.
The null hypothesis is that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
Learn more about hypothesis on
https://brainly.com/question/606806
#SPJ1
The function f(x)=0.75x+4.59 represents the cost of shipping packages based on a flat rate and the weight of each package, x , in pounds, where x>0 . What does 4.59 represent in the function f(x) ?
The term 4.59 is the y-intercept of the linear equation and represents the flat rate (or flat cost).
What does 4.59 represent in the function f(x) ?We know that the linear function:
f(x)=0.75x+4.59
models the cost of shipping x packages.
Remember that the general line is:
y = ax + b
Where a is the slope and b the y-intercept.
if x ≈ 0, then you ship no packages, and in that case the value of the function becomes equal to the second term:
f(x ≈ 0) = 4.59
So the term 4.59 represents the flat rate (or flat cost).
Learn more about linear equations at.
https://brainly.com/question/1884491
#SPJ1
A chemical solution contains 5.8 ml of water. A chemist adds more water t the solution at a rate of 0.07 ml/s. 9.900 XP 1 How many seconds will it take for the solution to contain 10 ml of water? If your answer is a decimal, give it to 2 d.p.
Answer:
60 seconds
Step-by-step explanation:
Let's start by finding how much more water needs to be added to the solution to reach a total of 10 ml of water:
10 ml - 5.8 ml = 4.2 ml
Now we can use the formula:
time = amount of water added / rate of addition
to calculate the time it will take to add 4.2 ml of water at a rate of 0.07 ml/s:
time = 4.2 ml / 0.07 ml/s
time = 60 seconds (rounded to the nearest second)
Therefore, it will take 60 seconds to add enough water to the solution to make a total of 10 ml of water.
Can you mark me asbrainliest if you appreciate my effort just for favor. Thank you^^
100 Points! Algebra question. Write a quadratic equation in standard form with -1/2, 3/4 as its roots. Please show as much work as possible. Photo attached. Thank you!
The buidling is 360 feet tall. On a scale drawing. 2 inch =20 feet. What is the height of the building in the scale drawing?
.Which net matches this figure? A,B,C or D
please answer ill give brainliest
Answer:
C or D it’s hard to see if the bottom of the shape is a square or rectangle.
Step-by-step explanation:
If rectangle C if squared D
I would go with C