Answer:
C
Step-by-step explanation:
a quadratic is an equation in the form f(x) = ax2 + bx + c. C is in this form. A quadratic cannot have a variable as the exponent, like A, but must have an exponent, among other things. C is the only answer that meets these criteria.
a local community college has 860 students. Of these 860 students, 220 ride bicycles. Write the number of bike riders as a fraction of the number of students at the college in simplest form
Answer:
11/43
Step-by-step explanation:
A local community college has 860 students
Out of this 860 students, 220students ride bikes
Therefore the fraction of bike riders to the number of students can be calculated as follows
= 220/860
= 11/43
x + 1 > -5( 7-2x) I need help please.
Answer:
x<4
Step-by-step explanation:
\(x + 1 > -5( 7-2x) \\\\\mathrm{Expand\:}-5\left(7-2x\right):\quad -35+10x\\x+1>-35+10x\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\x+1-1>-35+10x-1\\\\Simplify\\x>10x-36\\\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\x-10x>10x-36-10x\\Simplify\\-9x>-36\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-9x\right)\left(-1\right)<\left(-36\right)\left(-1\right)\\\\Simplify\\9x<36\)
\(\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x}{9}<\frac{36}{9}\\\\x<4\)
4 m - (30cm+40mm)=………………m
Answer:
3.966m
Step-by-step explanation:
4m - (30cm + 40mm)
Converting cm and mm to metre by dividing by 100 and 1000 respectively
=> 4.000m - (30/100 m + 40/1000 m)
=> 4.000m - (0.030m + 0.004m)
=> 4.000m - 0.034m
=> 3.966m
Answer:
3.66m
Step-by-step explanation:
First, we have units measured in meters, centimeters, and millimeters. This means we have to convert everything to the same measurement.
The easiest way is to convert everything to meters, as that's what the unit in the final answer will be.
To convert centimeters to meters, divide by 100
30/100=0.3
To convert millimeters to meters, divide by 1,000
40/1000=0.04
Next, plug the values back into the original equation:
4m-(0.3+0.04)
solve the parenthesis first
4-0.34
3.66
So, this equals 3.66 meters.
Hope this helps! :)
How do you find the volume of this pyramid with what is given? pls
Answer:
373.3333... in^3
Step-by-step explanation:
V = lwh / 3
V = 10 * 8 * 14 / 3
V = 1120 / 3
V = 373.3333... in^3
I'm probably wrong, I haven't done volume in a looong time.
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation. 0
Answer:
Start with equation,
y''(x) = f(x) = 6y/(10x-x²) about point x₀ = 5
Then,
y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….
by inspection,
y(5) = a₀ and y'(5) = a₁
then,
y''(5) = 6a₀/(50-25) = 6a₀/25
y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2
then,
y'''(5) = 6a₁/25 - 0 = 6a₁/25
y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³
then,
y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0
= 48a₀/625
So,
y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …
or
y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...
or
y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....
Learn more about equation here-
https://brainly.com/question/3391581
#SPJ4
Is (6,8) on the line y= x-2
Answer:
No, (6,8) is not on the line y = x - 2
Step-by-step explanation:
y = x-2
Slope: 1
Y-intercept: (0, -2)
If we add 6 to x and y, we will get the point (6, 4)
So, (6,8) is not on the line y = x - 2
Critical t-scores = +/- 1.995t statistic = 2.55The t statistic ________(lies, does not lie) in the critical region. Therefore, the null hypothesis is ____________(rejected, not rejected). You ________(can, can not) conclude. Thus, it can be said that the two means are ___________(significantly, not significantly) different from one another.
We can say that the two means are significantly different from one another.
The critical t-scores refer to the t-values that represent the boundaries of the rejection region in a t-test. In this case, the critical t-scores are +/- 1.995. These values are obtained from a t-table with the degrees of freedom (df) equal to the smaller of the two sample sizes minus 1.
The t statistic is the calculated value from the t-test, which measures the difference between the sample means in standard error units. In this case, the t statistic is 2.55.
Since the t statistic lies outside the critical region (i.e., it is greater than 1.995), we can reject the null hypothesis that there is no difference between the means of the two populations. We can conclude that the difference between the means is statistically significant at the chosen significance level.
Therefore, we can say that the two means are significantly different from one another.
To learn more about hypothesis visit:
https://brainly.com/question/31362172
#SPJ11
What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
Know more about innovation here:
https://brainly.com/question/30929075
#SPJ11
Replace ? with =, >, or < to make the statement true. 18 ÷ 6 + 3 ? 6 + 12 ÷ 3 Question 3 options: = >
Answer:
\(18\div6 +3 < 6+12\div 3\)
Step-by-step explanation:
Use order of operations:
\(18\div 6+3\,?\,\,6+12\div 3\\3+3\,?\,\,6+4\\6 < 10\)
Therefore, \(18\div6 +3 < 6+12\div 3\)
A stack of two hundred eighty cards is placed next to a ruler, and the height of stack is measured to be 7 8 inches. How thick is one card?
Answer:
1 /320 inches
Step-by-step explanation:
thickness of each card
7/8 ÷ 280
7/8 x 1/280 = 1/320 in
true/false. order the following steps from transcription through the initiation of translation.
Transcription - Translation - Initiation
True. Here is the ordered sequence of steps from transcription through the initiation of translation:
1. Transcription: This is the process in which the DNA sequence is copied into RNA (messenger RNA or mRNA) by the enzyme RNA polymerase.
2. RNA Processing: The newly formed mRNA undergoes modifications such as splicing to remove introns, addition of a 5' cap, and addition of a 3' poly-A tail.
3. Initiation of Translation: The processed mRNA is transported to the ribosome, where the process of translation begins. The small ribosomal subunit, along with the initiation factors, binds to the mRNA. The start codon (AUG) is recognized by the initiator tRNA, and the large ribosomal subunit binds to form the complete translation initiation complex.
Once the initiation of translation is complete, the process of elongation and termination of translation follows, ultimately resulting in the synthesis of a protein.
Learn more about transcription here: brainly.in/question/1995937
#SPJ11
If (a + bi) + (2 - i) = 3 + i, find the value of b.
1/2
0
2
1
Answer:
\((a + bi) + (2 - i) = 3 + i \\ a + bi + 2 - i = 3 + i \\ (a + 2) + (bi - i) = 3 + i \\ (a + 2) + (b - 1)i = 3 + i\)
Now, by comparing the coefficients of i, we get
\(b - 1 = 1 \\ b = 1 + 1 \\ \boxed{ b = 2}\)
b = 2 is the right answer.How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
Please help me Find X:
Answer:
x=50
Step-by-step explanation:
since all the angles of a triangle when added equal 180 we are going to have an equation like this:
180=102+28+x
180=130+x
so to find the value of x we have to subtract the final number by the value already given to us so something like:
180-130
which equals 50
Figure J, the small quadrilateral, was dilated with the origin as the center of dilation to create Figure K, the large quadrilateral.
Which rule best represents the dilation that was applied to Figure J to create Figure K?
!you can open the image in a new tab to make it bigger!
Answer:
(x, y) -> (2.5x, 2.5y)
Step-by-step explanation:
To find which equation is correct, first, let's find a similar point of Figure J and Figure K.
Figure J: (-3, -2). Figure K: (-7.5, -5)As you can see, Figure J was enlarged by a SF of 2.5 because -3 x 2.5 = -7.5, and -2 x 2.5 = -5.
Therefore, the answer is (x, y) -> (2.5x, 2.5y).
measuring the entire population is usually preferred over measuring a sample from the population.
T/F
The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.
When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.
Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.
However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.
For more questions like Population click the link below:
https://brainly.com/question/27779235
#SPJ11
Find the missing Length 27 ? 8 10
let the missing length = x
\( \frac{ x }{27} = \frac{8}{8 + 10} \\ \)
Corresponding side of congruent triangle are similar...
\( \frac{x}{27} = \frac{8}{18} \\ \)
\(18x = 216\)
\(x = \frac{216}{18} \\ \)
\(x = 12\)
hence the missing length is 12...
A quadratic function has its vertex at the point (1,−2). The function passes through the point ( −10,1) . Find the quadratic and linear coefficients and the constant term of the function. The quadratic coefficient is __________ The linear coefficient is __________ The constant term is __________
The quadratic coefficient is 1, the linear coefficient is -4, and the constant term is -5.
Given that the vertex of the quadratic function is (1, -2) and it passes through the point (-10, 1), we can determine the quadratic and linear coefficients as well as the constant term.
The general form of a quadratic function is \(y = ax^2 + bx + c\), where \(a\) represents the quadratic coefficient, \(b\) represents the linear coefficient, and \(c\) represents the constant term.
Since the vertex of the quadratic function is given as (1, -2), we know that the equation \(x = -\frac{b}{2a}\) gives the x-coordinate of the vertex. Plugging in the given vertex coordinates, we have \(1 = -\frac{b}{2a}\). Solving for \(b\), we find \(b = -2a\).
Next, we can substitute the given point (-10, 1) into the quadratic equation: \(1 = a(-10)^2 + b(-10) + c\). Simplifying, we get \(100a - 10b + c = 1\).
Now we have a system of two equations:
\(1 = -\frac{b}{2a}\) and \(100a - 10b + c = 1\).
Solving this system of equations, we can substitute \(b = -2a\) into the second equation:
\(100a - 10(-2a) + c = 1\).
Simplifying, we have \(120a + c = 1\).
From here, we can choose a value for \(a\), let's say \(a = 1\). Substituting into the equation above, we find \(c = -5\).
Therefore, the quadratic coefficient is 1, the linear coefficient is -4, and the constant term is -5.
To learn more about quadratic coefficient Click Here: brainly.com/question/31886643
#SPJ11
Do the same thing for the recurrence t(n) = 3t(n/2) o(n). what is the general kth term in this case? and what value of k should be plugged in to get the answer?
The general kth term can be expressed as t(n) = Θ(n^(log_2(3))).
The recurrence relation you provided is:
t(n) = 3t(n/2) + O(n)
To find the general kth term in this case, we can apply the Master Theorem, which is commonly used to solve recurrence relations of the form:
t(n) = a * t(n/b) + f(n)
In our case, we have a = 3, b = 2, and f(n) = O(n). The Master Theorem provides three cases depending on the relationship between f(n) and n^(log_b(a)).
If f(n) = O(n^(log_b(a - ε))) for some ε > 0, where log_b(a) > 0, then the solution is t(n) = Θ(n^(log_b(a))).
If f(n) = Θ(n^(log_b(a)) * log^k(n)), where k ≥ 0 and log_b(a) = 0, then the solution is t(n) = Θ(n^(log_b(a)) * log^(k+1)(n)).
If f(n) = Ω(n^(log_b(a + ε))) for some ε > 0, and if a * f(n/b) ≤ c * f(n) for some constant c < 1 and sufficiently large n, then the solution is t(n) = Θ(f(n)).
In our case, we have f(n) = O(n) and log_2(3) > 0, so we fall under case 1.
To know more about Master Theorem refer here:
https://brainly.com/question/32611991#
#SPJ11
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?
Answer: the correct answer is A and D
Step-by-step explanation:
Just answered the question.
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Got it right on edg
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.46. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they win the game is 0.32.
Let the events be A: Yankees win a game
B: Yankees score 5 or more runs
C: Yankees lose a game
D: Yankees score fewer than 5 runs
We are given the following probabilities:
P(A) = 0.56 (probability of winning)
P(B) = 0.46 (probability of scoring 5 or more runs)
P(C and D) = 0.32 (probability of losing and scoring fewer than 5 runs)
We want to find the probability of scoring fewer than 5 runs when they win the game, which is P(D|A).
We can use Bayes' theorem to find this probability:
P(D|A) = P(A and D) / P(A)
Using the definition of conditional probability:
P(D|A) = P(D and A) / P(A)
We know that P(D and C) = P(C and D), as both events represent the same outcome.
Using the fact that the sum of the probabilities of mutually exclusive events is equal to 1:
P(D and C) + P(B and C) = 1
Rearranging the equation:
P(D and C) = 1 - P(B and C)
Now, let's find P(D and A):
P(D and A) = P(D and A and C) + P(D and A and not C)
P(D and A) = P(D and A and C) + 0
P(D and A) = P(C and D and A)
Substituting the probabilities we have:
P(D|A) = P(C and D) / P(A)
P(D|A) = P(C and D) / P(C and D) + P(B and C)
P(D|A) = 0.32 / (0.32 + P(B and C))
We need to find P(B and C), which we can calculate using the given probabilities:
P(B and C) = P(C and B)
P(B and C) = P(C) - P(C and D)
P(B and C) = 1 - P(C and D)
P(B and C) = 1 - 0.32
P(B and C) = 0.68
Now we can substitute this value into the equation:
P(D|A) = 0.32 / (0.32 + 0.68)
P(D|A) = 0.32 / 1
P(D|A) = 0.32
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
Dominic solves the equation 3(x - 5) + 2x = 0 for x using the steps below. drag and drop the correct values to make his work and answer correct
Answer:
x = 3
Step-by-step explanation:
First, distribute the 3.
3(x - 5) + 2x = 0
3x - 15 + 2x = 0
Next, combine the x's.
(3x + 2x) - 15 = 0
5x - 15 = 0
Then, add 15 to both sides.
5x = 15
Finally, divide by 5 on both sides.
x = 3
Order from greatest to least.
0.386,0.3,0.683,0.836
Answer:
Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Step-by-step explanation:
Given : 0.386; 0.3; 0.683; 0.836.
To find : which Is greatest to least.
Solution :" We have given 0.386; 0.3; 0.683; 0.836.
In 0.386
Tenth place is 3 and hundredth place is 8
In 0.3
Tenth place is 3 and hundredth place 0
In 0.683
Tenth place is 6 and hundredth place 8
In 0.836.
Tenth place is 8 and hundredth place 3.
So, Greatest number is 0.836 ,
Least number is 0.3.
Therefore, Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Answer:
0.836,0.683,0.386,0.300
Step-by-step explanation:
Cause the closest decimal to one was the 0.836 the you can just go down for there
A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? 60% 10% 90% 200% 5 gal 30 gal 45 gal 100 gal 5 gal 30 gal 45 gal 100 gal
Answer:
5 gallons is 1/10 of 50 gallons; this is 10%
30 gallons is 30/50 or 60%
45 gallons is 45/50 or 90%
100 gallons is 200%
Step-by-step explanation:
Henry has a box in the shape of a
square pyramid. He wants to wrap
the box with paper. If the base has
side lengths of 5 in. and the lateral
height is 8 in., about how much
wrapping paper will he need?
The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Henry has a box in the shape of a square pyramid.
He wants to wrap the box with paper.
If the base has side lengths of 5 in. and the lateral height is 8 in.
Then the amount of the wrapping paper that he needs to cover the pyramid will be
\(\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2\)
Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
helpppppppppppppppppppppppp
Answer:
A
\(hope \:this \: helps\)
Given that
a
= 5 cm and
b
= 14 cm, work out the area of the triangle.
Give your answer rounded to 1 DP
Answer:
32.7
Step-by-step explanation:
Using the Pythagorean theorem, we can set an equation to 5^2+c^2=14^2,
which is equal to 196-25 = c^2, which is equal to c^2=171, therefore, c=\(\sqrt{171}\)
5*\(\sqrt{171}\)/2=32.69, rounded will equal to 32.7
Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts.
How many pounds of nuts should he buy?
A. 1 3/5 Ib.
B. 1/4 Ib.
C. 2 Ib.
D. 80 Ib.
E. 5 Ib.
Answer:
E
Step-by-step explanation:
1 pound = 16 ounces
20 dozen * 4 ounces of nuts per dozen = 80 ounces of nuts for 20 dozen cookies
80 ounces = 80 ounces / 16 ounces per pound = 5 pound
Thus, he needs 5 pounds of nuts. The answer is E.
Help me please……………………….
The range of the values of the third side of the triangle is 10<x<66.
What is a triangle?A triangle is a polygon with three sides. The sum of the two sides of the triangle should be always greater than the third side of the triangle.
For a triangle, the sum of the length of the two sides of a triangle should be equal to the third side of the triangle. Therefore, the value of x can be written as,
x < 28 + 38
x < 66
28 < x + 38
-10 < x
38 < x + 28
10 < x
Concluding all the inequalities, the value of x should be between 10 to 66, both not included.
Therefore, the range of the values of the third side of the triangle is 10<x<66.
Learn more about Triangles here:
https://brainly.com/question/2773823
#SPJ1
A manager at a theater needs to order 267 new seats if the seats are sold only in groups of 10 what is the least number of seats that the manager should order
The least number of seats the manger could order to 270 seats
How to find the least number of seats the manger could orderThe information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.
The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.
This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.
Hence the manager will order 270 and heave 3 extra seats
Learn more about multiples at:
https://brainly.com/question/26856218
#SPJ1