The number of high-quality version downloads is 300.
Given:
Size of the standard version = 2.8 megabytes (MB).
Size of the high-quality version = 4.5 MB.
Total number of downloads = 870
Total download size = 2946 MB
Let the number of high-quality version downloads be x.
Then the number of standard version downloads will be 870 - x.
Now the sum of the number of downloads of each type multiplied by their sizes equals 2946 MB.
So the equation is,
4.5x + 2.8(870 - x) = 2946
4.5x + 2436 - 2.8x = 2946
1.7x = 2946 - 2436
1.7x = 510
x = 510/1.7
x = 300
Therefore, the number of high-quality version downloads is 300.
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Giving a test to a group of students, the grades and gender are summarized below A B C TotalMale 5 8 14 27Female 13 20 10 43Total18 28 24 70If one student was chosen at random, find the probability that the student got an A or a B on the test. Write your answer as a reduced fraction or whole number.P(A or B)=
Anime Girl, this is the solution:
We have a total of 70 students (male and female), in consequence:
• Students that got an A = 18
,• Students that got a B = 28
,• Stiudents that got a C = 24
• P(A or B) = A + B / Total students
• P(A or B) = 18 + 28/70
,• P(A or B )= 46/70
,• P(A or B) = 23/35 (Simplifying) or 0.66
You purchase 5 tickets to a football game from TicketMaster. In addition to the cost per ticket, the agency charges a convenience charge of $2.50 per ticket. You also choose to pay for rush delivery, which costs $15. The total cost of your order is $352.50. What is the price per ticket before the convenience charge?
The price per ticket, excluding the convenience charge, is $65.
How to solve for the privce per ticketthe rush delivery is given as $15.
The total cost of the tickets is said to be put at $352.50
Then the value that we would have for the the 5 tickets wpould be 352.50 - 15 = $337.50.
There is the convenience charge of $2.50 per ticket. This charge is excluded from the convenience charge that is to be paid.
Hence you would have to make the payment of
337.50 - 5*2.50
= 325.
Next we are to solve for the price of the ticket whioch is independent of the convenience charge
= 325 / 5
= $65
Hence the price per ticket is given as 65 dollars
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Need help for the questions need help with b and c
b) No, it is not
c) x + 1 is a factor
Explanation:[tex]b)\text{ }f(x)=x^3-7x^2+8x\text{ + 16}[/tex]To determine if 10 is a function, we substitute x with 10 in the function:
[tex]\begin{gathered} f(10)\text{ = 1}0^3-7(10)^2\text{ + 8(10) + 16} \\ f(10)\text{ = 1000-700+80+16} \\ f(10)\text{ = }396 \end{gathered}[/tex]No, it isn't a . This is because f(10) is not equal to zero, it is not a zero o. It has a remanider of 396.
c) Using synthetic division:
for x + 1: to be a factor, x = -1
+1 1 0
The last number is equal to zero. This indicates the remainder is zero.
Hence, x + 1 is a factor of the function f(x)
dses 12.4. lete the following: Find the intercepts and domain and perform the symmetry test on each parabola with equations. (n) = 8 (d) x - 4y the vertex, focus, and endnoin
Find the intercepts and domains
1. Intercepts
x-intercept (when y = 0)
x = 0
y-intercept (when x = 0)
y = 0
Domain
y = All real numbers
Symmetry
Yes it is symmetry
Determine the number of large cups that would contain the same amount as 10 1/2 small cups if a large cup holds 1 3/4 times the quantity of liquid that's in a small cup.
The number of large cups that would contain the same amount as 10 1/2 small cups is 6.
How to illustrate the information?From the information, it was stated that we should find the number of large cups that would contain the same amount as 10 1/2 small cups if a large cup holds 1 3/4 times the quantity of liquid that's in a small cup.
This simply means that we have to divide the values that are given. This will be illustrated as:
= 10 1/2 ÷ 1 3/4
= 10.5 / 1.75
= 6
There'll be 6 large cups.
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Please help, Pre-Algebra super easy math question
Answer:
-16
Step-by-step explanation:
b) -x²; x = -4
-(-4)²
-(16)
-16
I hope this helps!
Answer: -16
Step-by-step explanation:
i have a derivative question about tangent lines, pic included
To find the horizontal tangent line, we have to conduct the first derivative test. The first derivative test sets the derivative of the function equal to 0.
Let's start out with finding the derivative of the function:
It seems like we will have to use Quotient Rule.
[tex]f^{\prime}(x)=\frac{(x^2-7x+1)(x+9)^{\prime}+(x^2-7x+1)^{\prime}(x+9)}{(x^2-7x+1)^2}[/tex]Now we can use basic derivative rules and properties to find the final derivative:
[tex]f^{\prime}(x)=\frac{(x^2-7x+1)+(2x-7)(x+9)}{(x^2-7x+1)^2}[/tex]Setting the derivative equal to 0, we can begin the first derivative test:
[tex]0=\frac{(x^{2}-7x+1)+(2x-7)(x+9)}{(x^{2}-7x+1)^{2}}[/tex]We can simplify the derivative before solving (expand and combine like terms):
[tex]0=\frac{-(x^2+18x-64)}{(x^2-7x+1)^2}[/tex]From here, we need to determine our values of x that will make the derivative equal to 0 or undefined. In this case, since we are not trying to find relative maxima or minima, we just need to find where the entire derivative is equal to 0. We can simply just graph the numerator and find its roots:
We can see that the values of x will be -21.0416 and 3.04159 will be the values that make the derivative equal to 0.
Also recall what the derivative is. The derivative is the slope of the tangent line. In order to find the horizontal tangent line, we know that horizontal tangent lines' slope is equal to 0.
Therefore, we can use either value of x to now find our equation.
Recall what the point-slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]Since we know that the derivative slope must equal 0, then we know that m = 0. We now need to find a point (x, y). Substitute one of the x values into the original equation to find an actual point on the function (remember not to round intermediate values on your calculator!):
[tex]\begin{gathered} f(3.04159)=\frac{3.04159+9}{3.04159^2-7(3.04159)+1} \\ f(3.04159)=-1.09074 \end{gathered}[/tex]Now we have a point (x, y) (I will put it in the actual radical form here):
[tex]\bigg(\sqrt{145}-9,\frac{-2\sqrt{145}}{45}-\frac{5}{9}\bigg)[/tex]Substitute our variables into point-slope form:
[tex]y-\bigg(\frac{-2\sqrt{145}}{45}-\frac{5}{9}\bigg)=0\bigg(x-(\sqrt{145}-9)\bigg)[/tex]Simplify and rewrite to obtain our final answer:
[tex]y=\frac{2\sqrt{145}}{45}+\frac{5}{9}[/tex]simplify (-2)(-3)(6) 20 points plus brainliest if right
Answer:
36
Step-by-step explanation:
-2(-3)(6)
6(6)
36
Answer:
-8/2 / 6/-3 -8/2 x -3/6 24/12= 2
Step-by-step explanation:
When you sold your shares, your account showed $4680.00 ($72.00 × 65 shares), for a total gain of $357.50 ($4680.00 – $4322.50). What percentage gain did you experience?
The percentage that 7.64% gain experienced you if sold your shares, your account showed $4680 for a total gain of $357.50.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
Given that when you sold your shares, your account showed $4680.00 ($72.00 × 65 shares)
For a total gain of $357.50 ($4680.00 – $4322.50).
Let the percentage gain you experienced be x %
As per the given data, the solution would be as:
⇒ x% of 357.50 = 4680.00
x% is expressed as x/100 in fractional form
⇒ (x/100)(357.50) = 4680.00
⇒ x = 357.50/4680.00 × 100
⇒ x = 7.64%
Therefore, the percentage that 7.64% gain experienced you.
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What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope intercept form 1. Y=2/5x+1/52. Y=2/5x-1/53. Y= -2/5x-1/5
We are asked to determine the equation of a line that passes through the point (-3, -1) and has a slope 2/5. To do that we will use the point-slope form of a line equation:
[tex]y-y_0=m(x-x_0)[/tex]Where:
[tex]\begin{gathered} (x_0,y_0)=\text{ point on the line} \\ m=\text{ slope} \end{gathered}[/tex]Now, we plug in the values:
[tex]y-(-1)=\frac{2}{5}(x-(-3))[/tex]Simplifying we get:
[tex]y+1=\frac{2}{5}(x+3)[/tex]Now, we apply the distributive law:
[tex]y+1=\frac{2}{5}x+\frac{6}{5}[/tex]Now, we subtract 1 from both sides:
[tex]\begin{gathered} y=\frac{2}{5}x+\frac{6}{5}-1 \\ \\ y=\frac{2}{5}x+\frac{1}{5} \end{gathered}[/tex]and thus we get the equation of the line.
what is an equation
We have to write the equation of the line that pass through (4,-5) and (2,0).
We can calculate the slope as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(-5)}{2-4}=\frac{5}{-2}=-2.5[/tex]We can then write the slope-point form of the equation as:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-0=-2.5(x-2) \\ y=-2.5x+5 \end{gathered}[/tex]Answer: y=-2.5x+5
(x^3y^5)^3 × -x^6y^5
To simplify the expression you can first use this property of exponents
[tex](a\cdot b)^m=a^mb^m[/tex]Then you have
[tex]\begin{gathered} (x^3y^5)^3=(x^3)^3(y^5)^3 \\ (x^3y^5)^3=x^{3\cdot3}y^{5\cdot3} \\ (x^3y^5)^3=x^9y^{15} \end{gathered}[/tex]Now apply this property of exponents
[tex]a^b\cdot a^c=a^{b+c}[/tex]Therefore, you have
[tex]\begin{gathered} (x^3y^5)^3\cdot-x^6y^5=x^9y^{15}\cdot-x^6y^5 \\ (x^3y^5)^3\cdot-x^6y^5=x^9\cdot-x^6\cdot y^{15}\cdot y^5 \\ (x^3y^5)^3\cdot-x^6y^5=-x^{9+6}\cdot y^{15+5} \\ (x^3y^5)^3\cdot-x^6y^5=-x^{15}\cdot y^{20} \\ (x^3y^5)^3\cdot-x^6y^5=-x^{15}y^{20} \end{gathered}[/tex]Find the value of x
.............................
Assume that when you take a bath, you fill a tub to the haltway point. The tub measures 5 feet by 2 feet by 2.7 feet. When you take a shower, you
use a shower head with
flow rate of 2.03 gallons per minute, and you typically spend 9 minutes in the shower. There are 7.5 gallons in one cubic
foot. Complete parts (a) through (c) below.
a. Do you use more water taking a shower or taking a bath? Select the correct choice below
and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
O A. Shower; you use
more cubic feet of water than taking a bath.
• B. Bath; you use
more cubic feet of water than you do taking a shower.
The person is therefore using more water for bathing than for showering, according to the conclusion.
Half of the tub's total water is consumed while taking a bath.
Water used divided by volume equals
[tex]\frac{volume}{2}[/tex]
= [tex]\frac{(5)(3)(2.8)}{2}[/tex]
=[tex]\frac{42}{2}[/tex]
=21 cubic feet.
The following will provide the total amount of water utilized while having a shower:
Total water Equals rate ×time
= 1.52 × 12
= 18.24 gallons.
So, if there are 7.5 gallons in a cubic foot, the amount of water in cubic feet will be amount
=[tex]\frac{18.24}{7.5}[/tex]
=2.432 cubic feet.
The person is therefore using more water for bathing than for showering, according to the conclusion.
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a 20$ bill, two $10 three $5 and four $1 are placed in a bag, if a bill is chosen at random what is the expected value for the amount choses
The expected value for the amount chosen from the bag is $5.90
How to get the expected value?
We have
one $20 bill.two $10 bills.three $5 billsfour $1 bills.So in total, we have 1 + 2 + 3 +4 = 10 bills.
The expected value will be then given by the sum of the products between the value of each bill and the number of bills of that type, divided by the total number of bills.
EV = (1*$20 + 2*$10 + 3*$5 + 4*$1)/10 = $5.9
The expected value is $5.9
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A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D 280 59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the
1. Cars distance from Albany
2. speed of the car
3. distance between Buffalo and Albany
4. numbers of hours driving
Answer:
2. Speed of the car.
Step-by-step explanation:
Given equation:
[tex]D=280-59t[/tex]
where:
D = distance from Buffalo.t = time in hours.The car begins its journey at Albany.
Therefore, the car is at Albany when t = 0:
[tex]t=0 \implies D=280-59(0)=280[/tex]
Therefore, 280 represents the distance between Buffalo and Albany.
After 1 hour of driving:
[tex]t=1 \implies D=280-59(1)=221[/tex]
Therefore, after 1 hour of driving, the car is 59 miles closer to Buffalo and therefore 59 miles from Albany.
After 2 hours of driving:
[tex]t=2 \implies D=280-59(2)=162[/tex]
Therefore, after 2 hours of driving, the car is 158 miles closer to Buffalo and therefore 158 miles from Albany.
Therefore, the 59 represents the speed of the car as the car travels 59 miles per hour.
Ventana High School has found that some offerings on the lunch menu aremuch more popular than others. The following table displays students'favorite lunch choices:1875923PizzaTacosSubSandwichesChineseComboPlate98What is the estimated population proportion of students who prefer tacos?A. 0.12B. 0.32C. 0.16D. 0.06
Answer:
C. 0.16
Explanation:
In the table there are 59 students that prefer tacos and there are 367 students in total because
187 + 59 + 23 + 98 = 367
Then, the estimated population proportion of students that prefer tacos is calculated as
P = 59/367 = 0.16
Therefore, the answer is
C. 0.16
Answer to exercise 1 please
Using an exponential function and a differential equation, the constant k for the situation is given by:
k = 0.03.
What is an exponential function?An increasing exponential function is modeled according to the following rule:
[tex]A(t) = A(0)e^{kt}[/tex]
In which:
A(0) is the initial amount of the function.k is the exponential growth rate of the function, as a decimal.This exponential function is the solution to the following differential equation:
A'(t) = kA(t)
One example of application of these functions is for continuous compounding, in which the value of an investment of P(0) after t years is given by:
[tex]P(t) = P(0)e^{kt}[/tex]
For the continuous compounding situation in this problem, the interest rate is of 3%, hence k = 0.03, which is the desired parameter.
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Under a rotation about the origin, the point A ( 5 , − 1 ) is mapped to the point A ' ( 1 , 5 ) . What is the image of the point B ( − 4 , 6 ) under this rotation? Explain.
The image of the point B ( − 4 , 6 ) under 270° clockwise rotation is point (-6 , -4).
A transformation that revolves a figure around a point is called a rotation. The rotational center is where we refer to it. The shape and dimensions of a figure remain the same while facing in a different direction. You can rotate a figure either clockwise or counterclockwise.
Under a rotation about the origin, the point A ( 5 , − 1 ) is mapped to the point A ' ( 1 , 5 ) is a -
270° clockwise rotation: (x,y) becomes (-y,x)
The image of the point B ( − 4 , 6 ) under this rotation is
(x , y) = (-y , x)
i.e. (-6 , -4)
Assuming that the rotation's center is at (0, 0). Here are the guidelines for rotation:
90° clockwise rotation: (x,y) becomes (y,-x)90° counterclockwise rotation: (x,y) becomes (-y,x)180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)270° clockwise rotation: (x,y) becomes (-y,x)270° counterclockwise rotation: (x,y) becomes (y,-x)Therefore , The image of the point B ( 4, 6) when rotated 270 degrees clockwise is point (-6 , -4).
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How would I solve this?
Write an equation of the line containing the given point and parallel to the given line.
(8, -3); 2x - 56 = 3
Type an equation using slope-intercept form or using the given point in point-slope form.
An equation of the line containing the given point and parallel to the given line is y = 2x - 19.
The condition for two parallel lines.
In Mathematics, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
x and y are the points.m represents the slope.Given the following equation:
2x - 56 = 3 ⇒ m₁ = 2
Therefore, m₁ = m₂ = 2.
At point (8, -3), we have:
y - y₁ = m(x - x₁)
y - (-3) = 2(x - 8)
y + 3 = 2(x - 8)
y + 3 = 2x - 16
y = 2x - 16 - 3
y = 2x - 19
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As long as you follow through with a plan to save $2000 a year, at the end of each year, in your account that earns 4% interest how much would you have after 25 years future value?
We have to use the simple interest formula.
[tex]A=P(1+rt)[/tex]Where P = 2,000, r = 0.04, t = 25. Let's solve for A
[tex]\begin{gathered} A=2,000(1+0.04\cdot25)=2\cdot2,000 \\ A=4,000 \end{gathered}[/tex]Therefore, you will have $4,000 in 25 years.What helps the esophagus move food to the stomach?
A. Cardiac muscle contractions
B. Smooth muscle contractions
C. Skeletal and cardiac muscle contractions
D. Skeletal muscle contractions
answer asap for brainlist
[tex] \: \huge \tt{\pink{A}{\orange{N}S{\green{W}{\blue{E}{\purple{R}}}}}} : \\ \\ \: \: \rightarrow \tt \: \:B. \: Smooth \: \: muscle \: \: contractions[/tex]
Esophagus move food to the stomach with the help of Smooth muscle contractions. Thus, option B is correct.
What is esophagus?The esophagus is the tubular structure that transports food from your mouth to your stomach. Esophagitis can cause uncomfortable swallowing and chest discomfort. Esophagitis can be caused by a number of factors. Some typical causes comprise stomach acids backing up into the esophagus, illness, oral medications, and allergies.
As food enters the stomach, the esophagus contracts. The lower esophageal sphincter (LES) is a "valve" placed directly before the stomach entrance. This valve opens to allow food to travel from the esophagus into the stomach and closes to prevent food from moving back up into the esophagus from the stomach. Hence, option B is correct.
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Graph the linear function p(x) = 4x
The graph is attached below.
We are given a linear function.The function p(x) equals 4x.We have to graph the function.In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.Let "y" denote p(x).y = 4xNow, we can get several pairs of coordinates that satisfy the above linear function.We plot the points on the graph and join them.We can see that the given function is an equation of a straight line that passes through the origin and has a positive slope of magnitude 4.To learn more about functions, visit :
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Pls help i need this ASAP!
The solution for the given inequalities are as follows
(17)k≥1 ,(18)c > 14 ,(20)y ≥ 2 ,(21)z < 9 ,(23)x < 1 ,(24)v ≤ -1 .
In the question ,
it is given that
(17) the inequality
3(k-5)+9k≥-3
3k-15+9k ≥ -3
12k -15 ≥ -3
12k ≥ 15-3
12k ≥ 12
k≥1
(18) the inequality
-(7c-18)-2c > 0
-7c+126-2c>0
-9c+126>0
-9c > -126
c > 126/9
c > 14
(20)given the inequality
-4 ≤ 4(6y-12)-2y
-4 ≤ 24y - 48 -2y
-4 ≤ 22y - 48
48-4 ≤ 22y
44/22 ≤ y
y ≥ 2
(21) given the inequality
30 > -(5z+15)+10z
30 > -5z -15 +10z
30 > 5z-15
45 > 5z
45/5 > z
z < 9
(23) given the inequality
4x+3 < 3x+6
4x-3x < 6-3
3x < 3
x < 1
(24) given the inequality
4v+8 ≥ 6v+10
-10+8 ≥ 6v-4v
-2 ≥ 2v
-2/2 ≥ v
-1 ≥ v
v ≤ -1
Therefore , the solution for the given inequalities are (17)k≥1 ,(18)c > 14 ,(20)y ≥ 2 ,(21)z < 9 ,(23)x < 1 ,(24)v ≤ -1 .
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Solve the following question show your work
Solution:
iven :
[tex]7\frac{1}{5}\times4\frac{5}{6}[/tex]To solve,
step 1: Convert the mixed fractions into improper fractions.
[tex]\begin{gathered} Given\text{ an improper fraction of the form: a}\frac{b}{c},\text{ to convert to an } \\ improper\text{ fraction, we have} \\ \frac{(c\times a)+b}{c} \\ \end{gathered}[/tex]Thus,
[tex]\begin{gathered} 7\frac{1}{5}=\frac{(7\times5)+1}{5}=\frac{35+1}{5}=\frac{36}{5} \\ 4\frac{5}{6}=\frac{(4\times6)+5}{6}=\frac{24+5}{6}=\frac{29}{6} \end{gathered}[/tex]step 2: Perform the operation of multiplication between both fractions.
Thus,
[tex]\begin{gathered} \frac{36}{5}\times\frac{29}{6}=\frac{36\times29}{5\times6} \\ cancel\text{ out common factor,} \\ =\frac{6\times29}{5} \\ =\frac{174}{5} \end{gathered}[/tex]step 3: Convert the resulting improper fraction into a mixed fraction.
Thus,
[tex]\frac{174}{5}=34+\frac{4}{5}[/tex]Hence, the solution is
[tex]34\frac{4}{5}[/tex]Correct answer answer now please for brainlist asap
Answer:
D. Organ systems
Step-by-step explanation:
Homeostasis is maintained by the nervous and endocrine systems.
The coldest recorded temperature in the United States is
–
80°F, in Alaska. The warmest recorded temperature in the United States is 134°F, in California.
How much higher is the warmest recorded temperature than the coldest recorded temperature?
The warmest recorded temperature is 214°F higher than the coldest temperature.
Since the sign of the two numbers are same, their final values will be added and the result will have the same signs as the two numbers (or the one with the greater absolute value). This is called the multiplicative property.
Expression for difference between the two temperatures is,
= 134−(−80)
By applying the multiplicative property of negative sign, we get
=134+80
= 214°F
Therefore, we conclude that the warmest recorded temperature is 214°F higher than the coldest temperature.
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10. An express train is travelling at 80 km/h. How far does it go in:
(a) 1 minute (b) 1 second?
Help please asap asap
For this problem, we are given the dimensions of a right triangle, we need to apply the trigonometric relation to determine which one results in 3/5.
We have three possible options sin, cos, and tan. The sine is the division between the opposite cathetus and the hypothenuse, which for this case is equal to 3/5, therefore it is the correct option.
The answer is A. sin.
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x)=x^3-2x
show all work please
The function is f(x) = [tex]x^3[/tex] + 2x is an odd function.
Given the function is :
f(x)=x^3-2x
To determine the function is Even , Odd , or Neither.
Let's Know :
What is an Odd function?
A function f is said to be an odd function if -f(x) = f(-x), for all value of x. In Mathematics, the functions even and odd are those that satisfy specific symmetry relations, with respect to considering additive inverses.
Now, Come to the question:
According to the question;
f(x) = [tex]x^{3}[/tex] - 2x
f(-x) = (-[tex]x^3[/tex]) - 2(-x)
f(-x) = -[tex]x^3[/tex] + 2x
Identify the relation between f(x) and f(-x)
f(x) ≠ f(-x)
Find -f(-x)
-f(-x) = -( -[tex]x^3[/tex] + 2x)
Remove the parentheses:
-f(-x) = [tex]x^3[/tex] + 2x
Identify the relation:
f(x) = -f(-x)
Hence, The function is f(x) = [tex]x^3[/tex] + 2x is an odd function.
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