Answer:
[tex]{x}^{7} - 4 {x}^{5} + 2 {x}^{4} + 4 {x}^{3} - 10[/tex]
Step-by-step explanation:
To write a polynomial in descending order means writing the polynomial in decreasing powers of x.
The given polynomial expresion is
[tex] - 4 {x}^{5} + 4 {x}^{3} + {x}^{7} - 10 + 2 {x}^{4} [/tex]
We start from the term with the highest degree and end with term with the least degree.
[tex] {x}^{7} - 4 {x}^{5} + 2 {x}^{4} + 4 {x}^{3} - 10[/tex]
Therefore the given polynomial written in descending order is
[tex]{x}^{7} - 4 {x}^{5} + 2 {x}^{4} + 4 {x}^{3} - 10[/tex]
(50 Points & Brainliest)
A group of students plotted the number of hours they spent cycling and the number of hours they spent playing football in a week.
Which statement best describes the relationship between the number of hours spent cycling and the number of hours spent playing football?
A) Fewer hours cycled, fewer hours spent playing football
B) Greater hours cycled, greater hours spent playing football
C) Fewer hours cycled, greater hours spent playing football
D) There is no relationship between hours spent cycling and hours spent playing football.
Answer:
Answer: There is no relationship between hours spent cycling and hours spent playing football. I did flvs and I got this question correct.
Step-by-step explanation:
Answer:
D) There is no relationship between hours spent cycling and hours spent playing football.
Step-by-step explanation:
As we can see that the scatter plot dots are distributed very randomly and we cannot form any relation between both conditions. Rather to easily compare both conditions we need two plots with respect to time. So, we can compare the hours spent in cycling and hours spent in playing football.
So, the correct answer would be - There is no relationship between hours spent cycling and hours spent playing football.
The cost of three tickets to a movie is at least $20. Select an inequality that represents the cost x (in dollars) of each ticket. Then solve the inequality. Write your solution in decimal form rounded to the nearest cent.
Answer:
[tex]x\geq \$6.67[/tex]
Step-by-step explanation:
Let
x------> the cost of each ticket
we know that
[tex]3x\geq 20[/tex] ----> inequality that represent the situation
solve for x
Divide by 3 both sides
[tex]x\geq 20/3[/tex]
[tex]x\geq \$6.67[/tex]
The cost of each movie ticket, represented by x, can be determined by solving the inequality 3x ≥ 20 which gives the result x ≥ $6.67.
Explanation:The subject problem can be formulated as an inequality problem based on the given information. The cost of three tickets is at least $20. Therefore, we can express it as 3x ≥ 20, with x representing the cost of each ticket.
To solve for x, we would simply divide each side of the inequality by 3. Thus we get x ≥ 20/3.
Converted into decimal form and rounded to the nearest cent, this gives us that x ≥ $6.67. Hence, by solving this inequality, we established that the cost of each movie ticket is at least $6.67.
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14.3 rounded to the nearest one
Answer:
14
Step-by-step explanation:
To round 14.3 to the nearest one, we round down because the digit to the right of the decimal point is less than 5. Therefore, the answer is 14.
Explanation:To round 14.3 to the nearest one, we look at the digit to the right of the decimal point, which is 3. Since 3 is less than 5, we round down. Therefore, 14.3 rounded to the nearest one is 14.
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How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
273 ft 2
329 ft 2
294 ft 2
266 ft 2
The total fabric required to make a tent in the shape of a triangular prism with the given measures is 1162 square feet.
Explanation:To calculate the amount of fabric required to make a tent in the shape of a triangular prism, we need to calculate the surface area, which is essentially the sum of the areas of all the faces.
The measures provided are presumably the areas of each of the faces of the triangular prism (273 ft^2, 329 ft^2, 294 ft^2, and 266 ft^2). In which case, we simply add these areas together:
273 ft^2 + 329 ft^2 + 294 ft^2 + 266 ft^2 = 1162 ft^2
Therefore, the total fabric required is 1162 square feet.
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To calculate the amount of fabric needed for a triangular prism-shaped tent, find the area of each face and add them together.
Explanation:To find the amount of fabric needed to make a triangular prism-shaped tent, we need to calculate the surface area of all the faces. A triangular prism has two triangular bases and three rectangular faces. First, find the area of each face: base = 273 ft2, height = 329 ft2, and second base = 294 ft2. Then, calculate the area of the three rectangular faces: length = height of the triangular face = 329 ft2, and the other two lengths are the same as the base or second base.
So, the total fabric needed is the sum of the areas of all the faces. Add the areas of the two triangular faces and the three rectangular faces to find the final answer.
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The expression (x-9)(2x^2-6x+3) can be rewritten as which of the following?
a. x(2x^2-6x+3)-9(2x^2-6x+3)
b. 2x^3+54x-27
c. x(2x^2-6x+3)+9(2x^2-6x+3)
d. 2x^3-6x^2-27
Answer:
A
Step-by-step explanation:
An equivalent expression is an expression which is equal to (x-9)(2x^2-6x+3). You can expand or simplify an expression to make an equivalent expression. Apply the distributive property to form a new equivalent expression by multiplying (x-9) separately into the factor in parenthesis.
(x-9)(2x^2-6x+3) = x(2x^2-6x+3) - 9(2x^2-6x+3)
A cylinder has a height of 10 cm and a radius of 4 cm. A cone has a height of 5 cm and a radius of 4 cm. How does the volume of the cylinder compare to the volume of the cone? A) It is 2 times larger. B) It is 3 times larger. C) It is 6 times larger. D) It is 9 times larger.
If 28 dog biscuits weigh 12 1/4
A) 3/7 of an ounce
B) 4/5 of an ounce
C) 7/16 of an ounce
D) 7/28 of an ounce
Divide total weight by number of treats:
12 1/4 / 28 = 7/16
The answer is C.
Answer:
[tex]\large\boxed{C)\ \dfrac{7}{16}\ of\ an\ ounce}[/tex]
Step-by-step explanation:
Divide the weight by the number of dog biscuits:
[tex]\left(12\dfrac{1}{4}\right):28=\dfrac{12\cdot4+1}{4}:28=\dfrac{49}{4}:28=\dfrac{1}{28\!\!\!\!\!\diagup_4}\cdot\dfrac{49\!\!\!\!\!\diagup^7}{4}=\dfrac{1}{4}\cdot\dfrac{7}{4}=\dfrac{7}{16}[/tex]
Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:f(x) = 2x − 20g(x) = x − 1a. -5b. 5c. 1/6d. 30
Answer:
(f/g)(-5) = 5
Step-by-step explanation:
You mean, "determine the value of (f/g)(x) at x = -5."
That would be:
f(x) 2x - 20
------- = ------------ and we now substitute -5 for x:
g(x) x - 1
2(-5) - 20 -30
(f/g)(-5) = --------------- = -------- = 5
-5 -1 -6
lines DE and AB intersect at point C. What is the value of x? A) 12 B) 25 C) 38 D) 52
Answer:
B
Step-by-step explanation:
∠ACE and ∠ECB form a straight angle whose sum = 180°, hence
2x + 2 + 5x + 3 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25 → C
The value of x if lines DE and AB intersect is 25
How to determine the value of xTo calculate the value of x, we make use of the following supplementary angle formula.
So, we have:
2x + 2 + 5x + 3 = 180
Collect like terms
2x + 5x+ 2 + 3 = 180
Evaluate the like terms
7x + 5 = 180
Subtract 5 from both sides
7x = 175
Divide both sides by 7
x = 25
Hence, the value of x is 25
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A single die is rolled twice. the 36 equally-likely outcomes are shown to the right. find the probability of getting two numbers whose sum is 7
Answer:
1/6
Step-by-step explanation:
When a die is rolled twice the possible outcomes are:
Here the first value represents the first outcome and the second value represents the second outcome.
S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3),(2,4), (2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6), ( 4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6, 1), (6, 2), (6,3), (6,4), (6,5), (6,6)}
Total outcomes = n(S) = 36
Let A be the event that the sum of both outcomes is 7.
A = {(1, 6) , (2,5), (3,4) , (4,3), (5,2), (6,1)}
n(A) = 6
So, P(A) = n(A)/n(S)
= 6/36
= 1/6
In this scenario, there are 36 potential outcomes when rolling a die twice. Six of these outcomes would lead to a sum of 7. Therefore, the probability of rolling two numbers whose sum is 7 is 1/6.
Explanation:When rolling a single six-sided die twice, the sample space consists of 36 outcomes (since each roll can result in one of six possible outcomes, so 6 outcomes for the first roll times 6 outcomes for the second roll gives 36 total). Now, we need to find the probabilities that would result in a sum of 7. These are: 1 and 6, 2 and 5, 3 and 4, 4 and 3, 5 and 2, 6 and 1. These are 6 possible outcomes. Hence, the probability of getting the two numbers whose sum is 7 is 6 out of 36, or 1/6 when simplified.
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There are two pizzas. Conor ate 1?4 of a pizza, Brandon 2?8, Tyler 3?4, and Audrey 4?8. Who ate the most of the two pizzas?
Answer:
Tyler ate most of the pizza.
Step-by-step explanation:
To make this much easier, we can convert this until it has a common denominator.
For these fractions, that common denominator is 8.
1/4 has to be multiplied by 2 to get 2/8.
2/8 doesn't need to be multiplied by anything to get to 2/8.
3/4 has the be multiplied by two to get 6/8.
Finally, 4/8 doesn't need to be multiplied by anything to get 4/8.
With 6/8 obviously being the biggest number here, we can conclude that Tyler ate the most of the two pizzas.
Lawrence's father gave him 200 baseball cards. Each week, Lawrence purchase 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?
Answer:
it would take 22 weeks to get 750 baceball cards
Step-by-step explanation:
sence you already have 200 and you get 100 every 4 weeks, then thats 20 weeks to get to 700, then add 2 more weeks to get 750
how would you solve 200 x 30/100? Please give instructions in how you did so.
Answer:
Well first you multiple 200 by 30 which equals 6,000 and then divide it by 100 which then leads you to the answer of 60. Hope I helped. :)
Step-by-step explanation:
Rewrite the expression 5(10+12) using the disruptive of multiplication over addition
Answer:
5·10 + 5·12
Step-by-step explanation:
The distributive property of multiplication over addition says the factor outside parentheses can be applied to each of the terms inside parentheses:
5(10 + 12) = 5·10 + 5·12
___
Of course, this can be simplified further if you like, to 50+60 = 110. But we already knew the value of the expression is 5·22 = 110.
Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and i exponential form by filing in the boxes for exponents)
the answer is 90 because 360/90=4 270/90=3
Fiona ran 6 laps around a track each lap was 500 meters how far did Fiona run? Circle all that apply
A. 30 kilometers
B. 3 kilometers
C. 3,000 meters
D. 300 meters
the answer to this question is d
During his science experiment, Yuri measured the temperature of a water sample as 24 degrees Celsius. To determine the temperature in degrees Fahrenheit, he used the formula , where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius. Which is a correct step in the process Yuri should take to convert the temperature? Check all that apply.
Substitute 24 for F.Substitute 24 for C.Add 32 to C before multiplying by .Multiply the value of C by before adding 32.
The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.
Conversion of celsius to FahrenheitThe formula for converting celsius to Fahrenheit is expressed as shown below;
(T°C * 9/5) + 32 = T°F
Given the following
T°C = 24°C
Substitute
(24 * 9/5) + 32 = T°F
multiply the value of C by 9/5
43.2 + 32 = T°F
Then add 32
T°F = 74.2°F
Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.
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Answer:The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.
Step-by-step explanation:
Conversion of celsius to Fahrenheit
The formula for converting celsius to Fahrenheit is expressed as shown below;
(T°C * 9/5) + 32 = T°F
Given the following
T°C = 24°C
Substitute
(24 * 9/5) + 32 = T°F
multiply the value of C by 9/5
43.2 + 32 = T°F
Then add 32
T°F = 74.2°F
Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.
What are the ratios for sin A and cos A? The triangle is not drawn to scale.
Answer:
[tex]SinA = \frac{84}{85}[/tex] and [tex]CosA=\frac{13}{85}[/tex]
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
[tex]Sin A = \frac{Opposite}{Hypotenuse}[/tex] , and
[tex]CosA = \frac{Adjacent}{Hypotenuse}[/tex]
The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:
[tex]Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}[/tex]
[tex]CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}[/tex]
The correct answer is the first answer choice.
3x − 2y = 6
3x + 10y = −12
Find the common x and y.
x = 1
y = -3/2
Solution: (1, -3/2)
//Hope it helps.
Answer:
(x, y) = (1, -1.5)
Step-by-step explanation:
Subtract the first equation from the second to eliminate the x-variable.
(3x +10y) -(3x -2y) = (-12) -(6)
12y = -18
y = -18/12 = -1.5
Substituting into the second equation, you get ...
3x +10(-1.5) = -12
3x -15 = -12 . . . . . . .simplify
3x = 3 . . . . . . . . . . . add 15
x = 1 . . . . . . . . . . . . . divide by 3
The values of x and y that satisfy both equations are (x, y) = (1, -1.5).
Could you please help me?
Answer:
x = 31
Step-by-step explanation:
AC=BD
3x+7 = 131-x
Subtract 7 from both sides
3x = 124-x
Add x to 3x
4x = 124
Divide by 4
x = 31
Check:
3(31)+7 = 131 - 31
Mulitply 3 times 31 / subtract 131 and 31
93+7 = 100
Add 93 to 7
100 = 100
The function f shown in the graph is an even function. The graph has been hidden for x ≥ 0. Complete the following sentences.
Answer:
1. f is increasing over the interval 0 < x < 2.
2. f(2) = 3
3. f is decreasing over the interval 2 < x < 5.
Answer
increasing
3
decreasing
Step-by-step explanation:
Ken drinks 2/7 of a carton of milk each day. How much milk does he drink in 3 days. Be sure to show your work or explain your reasoning
Answer:
6/7 of a carton
Step-by-step explanation:
Option 1:
add: 2/7+2/7+2/7 = 6/7
Option 2:
multiply 2/7 * 3/1 = 6/7
The milk he drinks in 3 days should be 6 by 7.
Given information:Ken drinks 2/7 of a carton of milk each day.
Calculation of milk:Here we have to add [tex]2 \div 7[/tex] three times so it gives [tex]6 \div 7[/tex]
Now the milk should be
[tex]= 2\div 7 \times 3\div 1 \\\\= 6\div 7[/tex]
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Need help picture below is ez like crazy i just need help on it AND 22 POINT FOR IT DO YOUR BEST
A. Explain the error and redo the problem showing the correct answer. *
B. Are both of the boys correct? If not who is correct and explain your answer. *
Answer:
I know a is because he added 0.2 instead of still decreasing since its subtraction in negatives
and b : since -0.2 - -0.3 is -0.5 so neither are correct
Which of the following is not a commonly used practice? Choose the correct answer below. A. If the original population is normally distributed, then for any sample size n, the sample means will be normally distributed. B. If the distribution of the sample means is normally distributed, and ngreater than30, then the population distribution is normally distributed. C. The distribution of sample means gets closer to a normal distribution as the sample size n gets larger. D. If the original population is not normally distributed and ngreater than30, the distribution of the sample means can be approximated reasonably well by a normal distribution.
Answer:
. B. If the distribution of the sample means is normally distributed, and greater than30, then the population distribution is normally distributed
Using the Central Limit Theorem, it is found that the statement which does not represent a commonly used practice is:
B. If the distribution of the sample means is normally distributed, and n greater than 30, then the population distribution is normally distributed.
The Central Limit Theorem establishes that, for a normally distributed random variable X, the sampling distribution of the sample means with size n can be approximated to a normal distribution. For a skewed variable, the Central Limit Theorem can also be applied, as long as n greater than 30.From this, we have that no matter the distribution, for samples of at least 30, the distribution of the sample means is normal. If the underlying distribution is normal, the sample size is not important.However, we cannot infer anything about the population given the distribution of the sample means, thus, statement B is false.A similar problem is given at https://brainly.com/question/4086221
Please answer this multiple choice question, will give brainliest!!
Answer:
C. 4.3 cm
Step-by-step explanation:
Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.
Answer: I think its 4.3 if its not then its 4.0
Find approximate solution for the equation in the interval -π
tan x= 2 csc x
Answer:
Option a.
-1.144 , 1.144
Step-by-step explanation:
Since we are dealing with trascendental equations, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.
Please, see attached image
We graph both equations and find the intersection between them in the interval from -pi to pi
This will give the solution to the equation
tan(x) = 2* csc(x)
The answer is
x = -1.144
x = 1.144
The question requires solving a trigonometric equation tan x = 2 csc x by using trigonometric identities to express it in terms of sine and cosine and then finding the approximate solutions within the interval -π to π.
Explanation:The student is asking for an approximate solution for a trigonometric equation within a specified interval. The equation given is tan x = 2 csc x. To solve this trigonometric equation, you need to use trigonometric identities to express both sides of the equation in terms of a single trigonometric function and then find the values of x that satisfy the equation within the given interval.
To start with, we can use the identity csc x = 1/sin x and then rewrite the equation as tan x = 2/sin x. Since tan x = sin x/cos x, we can now express the equation purely in terms of sine and cosine:
sin x/cos x = 2/sin x
Multiplying both sides by sin x cos x, we obtain sin2 x = 2 cos x. From here, we can use numerical methods or graphing techniques to find an approximate solution for x within the interval -π to π.
Find the measure of Arc AB.
Answer:
The measure of arc AB is [tex]88\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m<ACB=\frac{1}{2}(arc\ AB)[/tex]
we have
[tex]m<ACB=44\°[/tex]
substitute
[tex]44\°=\frac{1}{2}(arc\ AB)[/tex]
[tex]88\°=arc\ AB[/tex]
rewrite
[tex]arc\ AB=88\°[/tex]
The measure of arc AB is 88°
The inscribed angle measures half that of the arc comprising
so
[tex]m < ACB=(1)/(2)(arc\ AB)[/tex]
we have
[tex]m < ACB=44°[/tex]
substitute
[tex]44\°=(1)/(2)(arc\ AB)[/tex]
[tex]88\°=arc\ AB[/tex]
rewrite
[tex]arc\ AB=88\°[/tex]
Solve for w
-4w+(2/5)=-(7/2)w-(3/2)
Answer:
-(19/5) or -3.8
Step-by-step explanation:
In this case we put the like terms together as follows
-4w+(7/2)w=(-3/2)-(2/5) note the change of signs when the equal sign. + changes to - and -changes to +.
Therefore -(1/2)w=-(19/10)
dividing both of the equal sign by -(1/2) gives:
w=-(19/10)/-(1/2)
w=-(19/5) or -3.8
What is the surface area of this cylinder?
A) 6.4 m2.
B) 25.1 m2.
C) 37.7 m2.
D) 62.8 m2.
Answer:
it is c
Step-by-step explanation:
Rolling a Red and Yellow Dice
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
A red die and a yellow die are rolled. The outcome "3 on the red die and 4 on the yellow die" can be represented by the ordered pair (3,4). What is the probability that the sum of the die is lucky number 7?
1/2
5/6
1/9
1/6
Answer:
1/6
Step-by-step explanation:
The total number of possible outcomes are:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) = 36
The possible outcomes with sum 7 from the sample space are:
(1,6)(2,5)(3,4)(4,3)(5,2)(6,1) = 6
The probability with the sum 7 is: [tex]\frac{Desired Outcomes}{Possible Outcomes} = \frac{6}{36}[/tex]
=> [tex]\frac{1}{6}[/tex]
Hence the last option is correct.