Answer:
If g(x) = x3 + 4x2 + 5x + 2, which statement is true?
Step-by-step explanation:
The function g(x) intersects the x-axis the same number of times as the function f(x).
The function g(x) intersects the x-axis more times than the function f(x).
The function g(x) does not intersect the x-axis.
The function g(x) intersects the x-axis fewer times than the function f(x
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The table below shows which sports events have sold out and which have not.
An airplane takes 5 hours to travel a distance of 3300 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
The speed of the plane in still air is 605 miles per hour and the wind speed is 55 miles per hour. This is found through solving simultaneous equations derived from the given distance, and time taken both with and against the wind.
Explanation:In this problem, the plane's speed in still air can be denoted as 'p' and the wind speed as 'w'. Given the total distance of the trip as 3300 miles, the total time with the wind as 5 hours, and the total time against the wind as 6 hours, we can create two equations: p + w = 3300/5 = 660 miles/hour (with the wind) and p - w = 3300/6 = 550 miles/hour (against the wind).
These equations can be solved simultaneously to get the values of 'p' and 'w'. By adding the two equations, we get 2p = 660 + 550 = 1210. Dividing by 2 gives p = 605 miles/hour. With the value of 'p' we can find 'w' by substituting p = 605 into either of the original equations (let's use p - w = 550): 605 - w = 550, which leads to w = 55 miles/hour.
So, the speed of the plane in still air is 605 miles per hour and the speed of the wind is 55 miles per hour.
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Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3[pie] in^3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
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Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Pedro need to paint?
suppose you spina spinner numbered 1 through 6, and you sa 3 five times in a row.What is the theoretical possibility of spinning a 3 on the next spin
Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?
The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.
32 minutes – 28 minutes = 4 minutes faster than last week
To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:
4 minutes / 32 minutes = 0.125 or 12.5% faster than last week
PLEASE, PLEASE HELP ME
the bottom of a circular swimming pool with a diameter of 30 feet is painted blue. How many square feet are blue?
The blue area covers 225π square feet.
The area of the circular pool:
Radius (r) = Diameter/2 = 30 feet / 2 = 15 feet
Area = πr^2 = π(15 ft)^2 = 225π square feet
Thus, the total area painted blue is:
225π square feet
3×1 1/2=3×6/3=18/3=6
What is the value of x?
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The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 miles. What is the width of the park?
Match each prism with its volume. Ignore units.
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36
45
216
250
546
60
PLEASE HELP RIGHT NOW! 15pts Square RSTU is constructed with line PQ drawn through its center. If the square is dilated using a scale factor of one over two(1/2) and a line is drawn through the center of the new dilated figure, what relationship will the new line have with line PQ? Explain your reasoning using complete sentences.
The line PQ will also dilate using a scale factor of 1/2 and length becomes PQ/2.
What is dilation?Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.
Given that,
A square is RSTU.
Also, a line PQ drawn through the center.
When the square is dilated using a scale factor of 1/2,
The line that is drawn through the center will also be dilated.
Hence, the line PQ will be dilated by 1/2,
And the length of line will be PQ/2.
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For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?
Let us suppose the number of balloons purchased is x in number.
It is given balloons are purchased for $.79 each
Cost of x balloons = .79x.
Total amount spent on purchasing balloons = $11.85
Cost of x balloons = Total cost of balloons.
.79x=11.85
With x .79 is multiplied .Opposite of multiplication is division.
We perform the opposite operation both sides
Dividing both sides by .79
x=11.85÷.79
x=15
Total number of balloons purchased is 15.
Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?
-22< m-57 solve this please
thankyouu
Given the function f(x) = 2x-5/3, which of the below expression is correct?
F^-1(x) = 5-2x/3
F^-1(x) = 3x-5/2
F^-1(x) = 3x+5/2
F^-1(x) = -2x - 5/3
I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.
Find two ratios equal to the given ratio : 1/5:1 3/5
Lucy has a strawberry lace that is 36cm long. She needs pieces 18mm long to decorate a cake. How long is the 36cm one in mm
Given Lucy has a strawberry lace that is 36cm long.
The question is asking to convert 36 cm to mm.
1 centimeter is equal to 10 millimeters: 1 cm = 10 mm.
The distance 36 in millimeters (mm) is equal to the distance 36 in centimeters (cm) times 10
36 cm = 36x 10=360 mm
36 cm converted to mm is 360 mm.
The strawberry lace that is 36cm long in mm is equal to 360 mm.
Pre-Algrebra help neededdd!!!!
Answer:
it is d
Step-by-step explanation:
Last summer, Mike received a tip from 35% of his babysitting customers. If he had 20 customers, how many customers gave Mike a tip?
A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Answer:
1150 meters
Step-by-step explanation:
Speed of parachute = 207 kilometers per hour
Speed of parachute in meter /second = (207 x 1000)/ (60 x 60)
= 57.5 meter /second
Parachute fall for 20 seconds with a speed of 57.5 meter /second, Thus the distance covered in 20 seconds
= 57.5 meter /second x 20 seconds
= 1150 meters.
Estimate how many 12 inch rulers will be about the same length as a sheet of paper
Aiden needs 15 liters of cleaning solution. He can buy a 2-gallon jug ($4.28) a 3 gallon jug ($5.92) a 4 gallon jug ($6.56) a 7 gallon jug ($12.98). Which jug should he purchase to get at least 15 liters of cleaning solution and spend the least amount of money?
Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
Aiden needs 15 liters of cleaning solution.
He can buy a 2-gallon jug ($4.28) a 3-gallon jug ($5.92) a 4-gallon jug ($6.56) a 7-gallon jug ($12.98).
As we know,
1 gallon = 4.54 liters
2 gallon = 9.09 liters
3 gallon = 13.63 liters
4 gallon = 18.18 liters
7 gallon = 31.82 liters
Thus, Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.
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A table has 16 glasses on it. 7of the glasses are large. The rest are small. How many glasses are small?
In a survey of 398 students, 52% said they loved music. Use estimation to explain how many students loved music. PLZ HELP I HAVE THIS FOR HOMEWORK RIGHT NOW AND I NEED TO FINISH IT!!!!!
15 POINT QUESTION Which polynomial is a quintic trinomial?
A) −x^4−5x^2+1
B) x^3+2x^2−8x+16
C) 3x^5+7x^2−9x^4
D) x^2 + 4
The quintic polynomial is [tex]3x^5+7x^2-9x^4[/tex]. Therefore, option C is the correct answer.
What is a quintic trinomial?A quintic function is defined by a polynomial having highest degree five. A trinomial is defined as a polynomial having three terms. Therefore, a quintic trinomial refers to a polynomial having three terms with a highest power five.
Here, the polynomial [tex]3x^5+7x^2-9x^4[/tex] has the highest power 5.
So, the polynomial [tex]3x^5+7x^2-9x^4[/tex] is a quintic polynomial.
The quintic polynomial is [tex]3x^5+7x^2-9x^4[/tex]. Therefore, option C is the correct answer.
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find the surface of the area of the rectangular prism 16m 5m 14m
The line plots show the number of hours two groups of teens spent online last week. How does the data compare for the two groups of teens? The 16- to 18-year olds spent about the same hours online, on average, as the 13- to 15-year olds. The mode for the hours spent online for the 13- to 15-year olds is greater than the mode for the hours last week for the 16- to 18-year olds. The median value for the hours spent online for the 13- to 15-year olds is greater than the median value for the hours spent online for the 16- to 18- year olds. The range of hours spent online for the 13- to 15-year olds is greater than the range of hours spent online for the 16- to 18-year olds.
Answer:
The 16- to 18-year olds spent about the same hours online, on average, as the 13- to 15-year olds.
Step-by-step explanation:
Just took the test and this was the answer, view the image below to see if its the right chart.