Step-by-step explanation:
-3x+7-5x<15
-5x-3x+7<15
-8x+7<15
-8x<15-7
-8x<8
The smallest integer is -3x.
Compute the value of the discriminate and give the number for solutions of the quadratic equation 8x^2+3x-2=0
Write an explicit formula for this geometric sequence: 1, 5, 25, 125, 625
Answer:
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]
Step-by-step explanation:
the explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]
Multiplying and dividing Decimals
In qualifying for an auto race, one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?
Answer:
193.0 mph
Step-by-step explanation:
The average is defined as the sum of the items divided by the number of items. In this case the sum is 771.888. If we divide that by the number of items (4) we get 192.972. However, our answer typically cannot have more significant digits than the element having the least number of significant digits. Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well. So 192.972 will round to 193.0.
The volume of a cylinder closed at one end is 1056cm^2 with height 21cm, find the total surface area
Answer: ≈578 cm²
Step-by-step explanation:
[tex]V_{cyl}=1056\ cm^3\ \ \ \ H=21\ cm\\V_{cyl}=\pi R^2H\\1056=\pi *R^2*21\\1056=21\pi *R^2\\[/tex]
Divide both parts of the equation by 21π:
16=R²
4²=R²
4=R
[tex]S{tot\ sur}=\pi R^2+2\pi RH\\S{tot\ sur}=\pi R*(R+2H)\\S{tot\ sur}=\pi *4*(4+2*21)\\S{tot\ sur}=4\pi *(4+42)\\S{tot\ sur}=4\pi *46\\S{tot\ sur}=184\pi \\S{tot\ sur}\approx578\ cm^2[/tex]
Koran makes these claims. For each claim, decide whether you agree or disagree. Explain your reasoning using at least one of the data displays.
Considering the box plot and the histogram, we have that the conclusions are as follows:
b. Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.
c. Disagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.What is the range of a data-set?The range of a data-set is given by the difference between the largest value in the data-set and the smallest.
The box plot gives these values explicitly, while the histogram show the number of times each range appears, hence, in statement b:
Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.
Statement cDisagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.
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Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. what is the mode of thomas’s data set? 0.45 7.40 7.55 7.60
By observation or by inspection, 7.40 appears the most, thus mode.
What Is the Mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.
The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.
When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.
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Help please Algebra
Answer: y=-x+17
-1 ==> slope
(0, 17)
Step-by-step explanation:
x+y=17
x-x+y=17-x
y=-x+17
-x/x=-1 ==> slope
y=-x+17
y=-(0)+17
y=17 ==> (0, 17)
[tex]\frac{4}{5} x^{4}[/tex]
Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Write the system representing this situation. *Use "f" for flights *Use "h" for hotels *Use "t" other *do NOT use commas
Answer:
Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
complete the sentence: On an
annual basis, Sandy's entertainment expenses are percent of Jamie's insurance expenses.
Sandy goes to a club or concert every two weeks and spends an average of $65 each time. Jamie spends
$740 a year on car insurance. what percentange of sandy entertainment expense are to jamie’s ?
Sandy's entertainment expenses are 228.38 percent of Jamie's insurance expenses.
What is the percent?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.
The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit
(52 /2) x $65
26 x $65 = $1690
Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%
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What is a first step to solve the equation 0.3n - 15 = 0.2n - 5?
Answer:
100
Step-by-step explanation:
0.3n - 15 = 0.2n - 5
0.3n - 0.2n = - 5 + 15
0.1n = 10
10/0.1 = n
n = 100
In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both integers. someone help please
Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.
As given,
Let x, x +2 be two consecutive odd integers
Three times largest integer=3( x+2)
15 less than 2/3 smallest integer=(2/3)x -15
Equation :
3(x+2)=(2/ 3)x -15
⇒ 3x +6=(2x -45)/3
⇒ 9x-2x= -18 -45
⇒ 7x=-63
⇒ x =-9
and x+2 =-7
Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.
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Question 7 of 25
Does this graph show
a function? Explain how you know.
O A. Yes; the graph passes the vertical line test.
• B. Yes; there are no y values that have more than one x-value.
O C. No; the graph fails the vertical line test.
O D. No; there are y values that have more than one x-value.
PLEASE HURRY
The answer is option C, No; the graph fails the vertical line test.
The graph given doesn't show a function.
The method that is used to determine whether a given graph is a function or not is called the vertical line test. In this test, a vertical line is drawn at an arbitrary point x. If this line touches the given graph at more than 2-points, then the given graph is not a function.
In the given graph, if we draw a vertical line for any x > -1, then this vertical line touches the graph at more than two points.
In other words, for any value x > -1, the corresponding value of y is not unique.
So, the answer is option C, No; the graph fails the vertical line test.
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A bus ride costs P11 for the first 4 kilometers, and each additional integer kilometers adds P2.00 to the fare. Use a piecewise function to represent the jeepney fare in terms of the distance d in kilometers.
The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.
Given a bus ride costs 11 pesos for first 4 kilometers.
2.00 pesos for each succeeding kilometer.
Function of Fare (F) in terms of distance (d).
Let F represent the total fare and d represent the distance in kilometers.
F = rate of fare × distance
rate = 11 for 4 km, and 2 for each km
rate = 11, if x ≤ 4,
rate = 2, if (x₋4), and x > 4
hence the equation is:
F = 11 pesos, if x ≤ 4,
F = 11 ₊ 2(x₋4), if x > 4
Simplify the above equation.
F = 11 ₊ 2x ₋ 8
F = 2x ₊ 3
Hence we derived the function in terms of distance as F = 2x ₊ 3
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f (3/10)= -5 (3/10) -14
Answer: -15.5 or -31/2
Step-by-step explanation:
it may look weird but if that's what the equations says then your gonna do it.
-5(3/10) -> (5/1)(3/10) = 15/10 = -3/2 or -1.5
-1.5 - 14 = -15.5
:
() =-5-14 (=3/10)
(3/10)= -5 (3/10) -14
f(3/10) = -15/10 -14
= -15-140
----------
10
= -195/10
=- 19.5
You are dealt one card from a standard 52-card deck. find the probability of being dealt in a queen? quiizlet
The probability of being dealt in a queen is 1/13.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.To find the probability:
Total number of cards = 52Number of cards om 52 deck of cards = 4So, P = favourable events / total number of eventsThen, P = 4/52Probability = 1/13Therefore, the probability of being dealt in a queen is 1/13.
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Find the remainder for this calculation.
161 4
40 Remainder 1
hope this helps :)
Translate algebraic words to symbols. Triple the product of ab
Answer:
3ab
Step-by-step explanation:
Triple means multiply by 3.
The product of ab is simply ab.
Answer: 3ab
simplify 2cos3xsin3x
step by step pls
After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
We are given the expression as:
2 cos (3 x) sin (3 x)
Now, we know the trigonometric identity as:
2 sin θ cos θ = 2 sin (2 θ)
Using this identity in the expression where θ = 3 x, we get that:
2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)
2 cos (3 x) sin (3 x) = sin (6 x)
Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
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What is a gradient in mathematics
gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.
Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..
The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.
An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.
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Keenan got 13 /25 for his Mathematics Test write this as a decimal fraction
Answer: Answer is 0.52
Step-by-step explanation:
So we have the fraction 13 Out of 25.
step 1: here we divide numerator(which is 13) by denominator(which is 25).
step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.
ie. [tex]\frac{13 * 4}{25 * 4}[/tex]
step 3: we get [tex]\frac{52}{100}[/tex]
step 4: now we can easily write the decimal fraction. ie. 0.52
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use the graph and the translation (x,y) = (x+3, y+1)
Answer:
Step-by-step explanation:
The Amari family installed an inground pool, what is the volume of the inground pool?
50 points for the answer
Answer:
154^2ft
Step-by-step explanation:
you multiply LxWxH for getting the volume
Please help me I’m giving brainiest
Answer:
2/9
Step-by-step explanation:
_________________________
Answer:
1 5/9
Step-by-step explanation:
1. 1+1/3 = 1 1/3
2. 1 1/3 x 1 1/3 = 1 7/9
3. 1 7/9 - 2/9 = 1 5/9
If the odds against debroah's winning first prize are 3 to 5, what is the probability that she will win 1st prize?
Answer:
See below
Step-by-step explanation:
Odds AGAINST are 3 to5 then odds FOR are 2 to 5
2/5 = .4 = 40% chance of winning
Translate (3x-1,y+5)
Answer: Three times x minus y is five times the sum of y and two times x.
Step-by-step explanation:
the given equation is: (3x-1,y+5)
The left hand side of the equation may be written as: "Three times x minus y."
The right hand side of the equation may be written as: "Five times the sum of y and two times x."
Hence, the correct option is:
Find the measure of the missing angles.
b=
93°
C=
C
b
O
4d-(5b+3) for d=-8 and for b=-3
Answer:
I believe the answer would be 384
Step-by-step explanation:
4×-8 (5× -3+3)
-32 × -12
384
BOOM!!! Your Welcome
Yes or no-
Does the point (-2,7) lie on the graph of y= -2x + 1
Answer:
no
Step-by-step explanation:
Please help
This graph shows a portion of an odd function. Use the graph to complete the table of values.
From the odd function, the table is completed as follows:
x = -2, f(x) = -2.x = -3, f(x) = -1.x = -4, f(x) = -2.x = -6, f(x) = -3.What are even and odd functions?In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.For this problem, we have that it is an odd function, then:
Since f(2) = 2, f(-2) = -f(2) = -2.Since f(3) = 1, f(-3) = -f(3) = -1.Since f(4) = 2, f(-4) = -f(4) = -2.Since f(6) = 3, f(-6) = -f(6) = -3.More can be learned about odd functions at https://brainly.com/question/2284364
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