Answer:
D
Step-by-step explanation:
[tex]8x^3+12x=\\4(2x^3+3x)=\\4x(2x^2+3)[/tex]
Therefore, the correct answer is D. Hope this helps!
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
what is the 7th term in the sequence 48,40, 32, 24,
Answer:
0
Step-by-step explanation:
Take the second term and subtract the first term
40-48 = -8
Take the third term and subtract the second term
32-40 = -8
The common difference is -8
We have the 4th term
24
The fifth term is
24-8 = 16
The sixth term is 16-8 = 8
The seventh term is 8-8 =0
Answer: 16
Step-by-step explanation:
The answer is 16 because you are going down by 8s
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS
Answer: The correct answer is D!!! 60
Step-by-step explanation:
The measure of the value of x from the given quadrilateral is 81 degrees.
Circle geometryFrom the given diagram, the quadrilateral is inscribed in the circle.
USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;
x + 98 = 180
Subtract 98 from both sides
x + 98 - 98 = 180 -98
x = 180 - 98
x = 81 degrees
Hence the measure of the value of x from the given quadrilateral is 81 degrees.
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Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
an isosceles trapezoid is a trapezoid with congruent legs. true or false?
Answer:
true
Step-by-step explanation:
If a trapezoid has congruent legs, it is an isosceles trapezoid.
Hope this helps.
It is true, that an isosceles trapezoid is a trapezoid with congruent legs.
A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.
What is geometry?It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.
Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.
Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.
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Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30
Answer:
D) 2x² + 4x - 30
Step-by-step explanation:
Follow the FOIL method:
FOIL =
First
Outside
Inside
Last
...and is the order you multiply to solve:
(x + 5)(2x - 6) =
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Combine like terms. Simplify:
2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30
2x² + 4x - 30 is your answer.
~
does anyone know the answer to this please ?
Answer:
I think it's the first one.
There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Learn more:
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Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
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Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_
Answer:
5 cups
Step-by-step explanation:
To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups
Answer:
14 cups of flour are needed for 1 cup of sugar.
Step-by-step explanation:
Use a ratio.
cups of flour : cups of sugar
1 3/4 : 1/8
? : 1
We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.
1 3/4 * 8 = 14
Therefore, 14 cups of flour are needed for 1 cup of sugar.
Tell me if this was helpful:)
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answer:
0.8
Step-by-step explanation:
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: Improving the healthcare system is more important than improving the education system.
Opinion B: Improving the education system is more important than improving the healthcare system.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."
Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Hope this Helps!!!
The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)
Answer:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit.
Step-by-step explanation:
For this case we have the following dataset given:
9,16,9,15,20,13,7,26,9,44
The first step is order the data on increasing way and we got:
7,9,9,9, 13,15, 16,20,26,44
And we can create the stem plot like this:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit
c(1)=-20 c(n)=c(n-1)+10 find second term
Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
What is the values of x?
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
What is the value of y?
Answer:
Step-by-step explanation:
A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.
The legs (sides that form the 90 degree angle) are both equal.
The hypotenuse is the leg multiplied by the square root of 2.
[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]
So [tex]x=24\sqrt{2} \approx 33.9[/tex]
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
Find two numbers, if their sum is 49 and their difference is 1/2 .
Answer:
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
So we have:
[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]
using the elimination method, add the two equations together:
[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]
solve for x:
[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]
substitute our value for x back into the first equation we made:
[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]
therefore,
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters
The image of the front of the tower is missing, so i have attached it.
Answer:
Option B - 10,000 square millimeters
Step-by-step explanation:
From the image attached, we see that the dimensions of the front of the tower are;
Length; L = 200 mm
Width; w = 50 mm
Now, this front face takes the shape of a rectangle.
Area of rectangle = Length x width
Thus, plugging in the values of length and width, we will get;
Area of front face = 200 x 50
Area of front face = 10,000 square millimeters
Answer:
12,500 mm^2
Step-by-step explanation:
50 x 200 = 10,000 mm
(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm
10,000 + 2,500 = 12,500 mm^2
someone plz help it looks easy but I dont understand
Answer:
Step-by-step explanation:
(√8)²=8,2²+2²=8
√8→2 units,2 units
(√7)²=7,(√5)²+(√2)²=5+2=7
√7→√5 units,√2 units
(√5)²=5,2²+1²=5
√5→2 units ,1 unit
3²=9,2²+(√5)²=9
3→2 units,√5 units.
Please help me with this question
Answer:
Either 36.35 or 16.00173
Step-by-step explanation:
the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.
IF you are supposed to use inverse cosine:
16.00173
IF NOT:
36.35182
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
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If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.
Answer:
9
Step-by-step explanation:
The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD
Step-by-step explanation: