Answer:
-5,-4
Step-by-step explanation:
-5,-4
down 1 unit: -5,-3
up 1 unit: -5,-4
if 8km=5miles.how many miles are in 56m?
Answer:
89.6 miles
Step-by-step explanation:
\(\frac{8}{5}\) = \(\frac{x}{56}\)
5x = 448
x=89.6
Step-by-step explanation:
if 8km=5
x =56km
5x=8×56
5x=448
x=89.6 miles
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
PLS HELP ILL GIVE 10 POINTS!!
I neeed helpppppp I attached a photo of the question
Answer:
Step-by-step explanation:
one think
Answer:
option A is correct answer of this question
hope it helps
A card game is being played and the 7 of clubs, 9 of hearts, 10 of spades, and
10 of hearts are drawn. In order to win the hand, the next card must be higher
than the highest card already on the table. Assuming the game is played with
a single deck, what is the chance that the next card drawn will win the hand?
(An ace has a value of 1.)
A. 12%
B. 24%
C. 3%
D. 25%
Answer:
Step-by-step explanation:
Only j,q,k beat 10 and there are four each of them so there are 12 cards that will beat the ten. 4 cards have already been drawn so there are 52-4=48 cards left in the deck, so the probability of beating the 10s is
12/48
1/4
Which is 25%
how much extra virgin olive oil containing 0.8% acidity of 2.5% so that the mixture has acidity of 2% report the answer in gallons round to the hundreth place
Answer:
1.67 gallonsStep-by-step explanation:
Question is:
How much extra-virgin oil, containing 0.8% acidity, must be added to 4 gallons of olive oil with an acidity of 2.5% so that the mixture has an acidity of 2%? Solution must be in gallons, rounded to nearest hundredth place============================
Let the added amount be x, then acid content is:
0.008x + 4*0.025 = (4 + x)*0.020.008x + 0.1 = 0.08 + 0.02x0.02x - 0.008x = 0.1 - 0.080.012x = 0.02x = 0.02/0.012x = 1.67 (rounded)1.67 gallons of virgin oil to be added
find the volume of the solid with semi-circular cross sections whose bases lie in the xy-plane on [0,9] and diameters run from y
The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy.
Step 1: Substitute the expression for the area of the semi-circular cross section into the equation for the volume of the solid:
V = π/2∫0,9r²dy
Step 2: Integrate the equation to find the volume of the solid:
V = π/2[y³/3]|0,9
Step 3: Evaluate the integral:
V = π/2(9³/3 - 0³/3)
step 4: Solve for the volume of the solid:
V = 7π/2
The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy. To calculate the volume, we must first substitute the expression for the area of the semi-circular cross sections into the equation for the volume of the solid: V = π/2∫0,9r²dy. Then, we must integrate the equation to find the volume of the solid: V = π/2[y³/3]|0,9. After that, we must evaluate the integral: V = π/2(9³/3 - 0³/3). Finally, we must solve for the volume of the solid: V = 7π/2. The answer is the volume of the solid is 7π/2.
Learn more about volume here
https://brainly.com/question/16134180
#SPJ4
At a local university, 40% of students are male and 60% are female. In the male group, 50% major in art, 40% major in science, and the rest major in other. In the female group, 70% major in art, 10% major in science, and the rest major in other.
A.) if a student who majors in science is randomly selected, what is the probability that this student is a female?
B.) if a student is randomly selected, what is the probability that this student is a male or majors in art?
According to the given question we can conclude that the probability that a student who majors in science is a female is approximately 0.375 and the probability that a student is male or majors in art is 0.78.
Explain probability?Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.
A.) To find the probability that a student who majors in science is a female, we need to use Bayes' theorem. Let F be the event that a randomly selected student is female, and S be the event that the student majors in science. Then we have:
P(F|S) = P(S|F) * P(F) / P(S)
We know that P(F) = 0.6 (since 60% of students are female), and P(S|F) = 0.1 (since 10% of female students major in science). To find P(S), we need to use the law of total probability:
P(S) = P(S|F) * P(F) + P(S|M) * P(M)
We know that P(S|M) = 0.4 (since 40% of male students major in science), and P(M) = 0.4 (since 40% of students are male). Therefore:
P(S) = 0.1 * 0.6 + 0.4 * 0.4 = 0.16
Now we can calculate P(F|S):
P(F|S) = 0.1 * 0.6 / 0.16 ≈ 0.375
Therefore, the probability that a student who majors in science is a female is approximately 0.375.
B.) To find the probability that a student is male or majors in art, we need to use the law of total probability again:
P(Male or Art) = P(Male) + P(Art) - P(Male and Art)
We know that P(Male) = 0.4 (since 40% of students are male), and P(Art|Male) = 0.5 (since 50% of male students major in art). We also know that P(Female) = 0.6 (since 60% of students are female), and P(Art|Female) = 0.7 (since 70% of female students major in art). Therefore:
P(Art) = P(Art|Male) * P(Male) + P(Art|Female) * P(Female)
= 0.5*0.4+0.7*0.6
= 0.58
To find P(Male and Art), we can multiply the probabilities of being male and majoring in art:
P(Male and Art) = P(Male) * P(Art|Male)
= 0.4 * 0.5
= 0.2
Now we can calculate P(Male or Art):
P(Male or Art) = 0.4 + 0.58 - 0.2
= 0.78
Therefore, the probability that a student is male or majors in art is 0.78.
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ1
Hep math math math math
Answer:
c
Step-by-step explanation:
basic theory, can't explain further.
Answer: y=6
Step-by-step: 2(−6)+3=18 distributed into 2−12+3=18
Next, Combine Like Terms.
2−12+3=18
5−12=18
Wait oh, you wanted the. Oh. Well the distribution of it is 2y-12+3y=18. Sorry!
can you show work? 50 points btw
The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon?
Answer:
please include the amount of Isaac's purchase and coupon amount.
Step-by-step explanation:
Depending on Isaac's purchase amount, you *.12 to it. That will give you the amount of the commission before the coupon.
Which linear function has the steepest slope?
On a coordinate plane, a line goes through points (0, 1) and (1, negative 2).
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries 10, 13, 16, 19.
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Mark this and return
Answer:
Its answer d
Step-by-step explanation:
I took the quiz
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
you have 30 spark plugs. the probability they last more than 10 years is 0.65.Out of the 30, what is t probability that at least 20 will last that long
The probability that at least 20 out of 30 spark plugs will last in addition 10 years is nearly 0.9741, or 97.41%.
How to Solve the Probability?To reckon the probability that not completely 20 out of 30 spark plugs will last in addition to 10 years, we can use the binomial odds formula. The binomial probability recipe is:
P(X ≥ k) = 1 - P(X < k)
Where:
P(X ≥ k) is the probability of X being degree or equal to k.
P(X < k) is the possibility of X being less than k.
In this case, X understands a binomial distribution accompanying n = 30 (number of spark plugs) and p = 0.65 (probability of a device that ignites fuel in engine lasting in addition to 10 years).
P(X < 20) = Σ(from i=0 to 19) [(30Ci) * (0.65^i) * (0.35^(30-i))]
To reckon this, we need to sum up the individual probabilities of having i spark plugs unending more than 10 age, from i = 0 to i = 19. However, since canny this manually can be late, we can use a calculator or a program package like R or Python to reckon it.
Using a binomial probability calculator, we find:
P(X < 20) ≈ 0.0259
Therefore, the probability that at least 20 out of 30 spark plugs will last in addition 10 years is nearly 1 - 0.0259 = 0.9741, or 97.41%.
Learn more about probability here: https://brainly.com/question/13604758
#SPJ1
ASAP PLZTo estimate 103% of 63 rich rounded 103% down to 100% 63 down to 60 and multiplied 60 by 1 to get 60 which of these statements are true
A:Rich’s estimate is reasonable because it should be less than 63
B:Rich’s estimate is unreasonable because it should be greater than 63
C:Rich’s estimate is unreasonable because it should be less than 63
D:Rich’s estimate is reasonable because it should be greater than 63
Answer: it’s d
Step-by-step explanation:
what is the value of
Answer:
A. 7
Step-by-step explanation:
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)Learn more about graph here:
https://brainly.com/question/30980145
#SPJ1
please help me . I need it asap .
Answer:
x=10, y=-1
Step-by-step explanation:
Multiply both sides of the top equation by 2 to get 2x-2y=22
subtract the two equations
2x-2y=22
2x+y=19
-3y=3
y=-1
plug the -1 in any of the two equations (I'll do the second one)
2x-1=19
2x=20
x=10
x=10, y=-1
Find – 8-(-3). -8-(-3) =
Answer:
-5.5
Step-by-step explanation:
A warehouse worker uses a forklift to move boxes that weigh either 45 pounds or 70 pounds each. Let x be the number of 45-pound boxes and y be the number of 70-pound boxes. The forklift can carry up to either 60 boxes or a weight of 3000 pounds.
The total number of boxes that a forklift can carry is???
The total weight that the forklift can carry is ______ 3000 pounds.
Greater than, Less than, or Equal to
Write an inequality that models the number of boxes the forklift can carry. The inequality should contain x, y, and an inequality sign.
Write an inequality that models the amount of weight the forklift can carry. The inequality should contain x, y, and an inequality sign.
Part a: total number of boxes carried by the forklift = 60.
Part b: Total weight carried by forklift is "less than" 3000 pounds.
Explain about the inequality equation?Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.
Given data:
x - number of 45-pound boxesy - number of 70-pound boxes.maximum weight 3000 pounds.Maximum number = 60.in equality formed are:
x + y ≤ 60 number .....eq1
45x + 70y ≤ 3000 pounds ...eq 2
Part a: total number of boxes carried by the forklift = 60.
Part b: Total weight carried by forklift is "less than" 3000 pounds.
Part c: inequality for number of boxes carried by the forklift.
From eq 1, x + y ≤ 60
Part d: inequality for amount of weight carried by the forklift.
From eq 2; x + y ≤ 60
Know more about the inequality
https://brainly.com/question/24372553
#SPJ1
The cube of the product of 8 and a number.
The unknown number will be equal to 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cube of the product of 8 and the number is 512. The unknown number will be calculated as,
8 x = 512
x = 512 / 8
x = 64
The number which is the product of 8 will be equal to 64.
The complete question is given below.
The cube of the product of 8 and the number is 512. What is the number?
To know more about an expression follow
https://brainly.com/question/1713767
#SPJ2
f(x)=7; find f(-3) and f(0.1)
Answer:
f(-3) = 7
f(0.1) = 7
Step-by-step explanation:
The function f(x)=7 gives an output of 7 for all inputs. In other words, no matter what we plug in for x, f(x) will equal 7.
When graphed, f(x)=7 produces a horizontal line at y=7. From there, you can also see that any value of x gives an output of 7.
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
simplify (-13x^2-7x-9)-(-7x^2+11x-10)
Answer:
-6x^2-18x+1
Step-by-step explanation:
not fully sure but hope this helps!!
please help me find these angles, i dont want a wrong answer.
Answer:
<EAC=75
<BAD=36
<ACD=75
<FAB=75
<CAD=69
<BDA=69
Step-by-step explanation:
EAC= 180-105=75
BAD= CDA
ACD= 75 opposite <s congruent
FAB= 75 vertical <s congruent
CAD=105-36=69
BDA=69 Opposite <s congruent.
Hope this helps! Should be right we just finished this unit.
A heptagon has perimeter 88 feet. Four of the sides are the same length, and the remaining sides are half as long. How long are the shorter sides?
the other two angles of the triangle must also be equal, which means that the other two sides of the triangle must be equal as well. the length of the shorter sides is \(y = 16 feet\) .
What are the remaining sides are half as long in heptagon?Let's start by using the information given to write equations for the perimeter of the heptagon in terms of the length of the sides:
Let x be the length of the four equal sides, and y be the length of the remaining three sides, which are half as long. Then, we have:
Perimeter \(= 4x + 3y\)
We also know that the perimeter is 88 feet, so we can set up the equation:
\(4x + 3y = 88\)
Now we need to solve for y, which represents the length of the shorter sides.
We can simplify the equation by substituting y = (1/2)x:
\(4x + 3(1/2)x = 88\)
Simplifying this expression, we get:
\(7x/2 = 88\)
Multiplying both sides by 2/7, we get:
\(x = 32\)
Now that we know x, we can find y by substituting it into the equation y \(= (1/2)x\):
\(y = (1/2)(32) = 16\)
Therefore, the length of the shorter sides is \(y = 16\) feet.
Learn more about heptagon here:
https://brainly.com/question/12630702
#SPJ9
when should I use a bar graph
• Bar graph or bar chart or bar diagram means the same
,• The recommendation is that we should use a bar graph when we are comparing categorizes data or when we're comparing items between different groups.
,• The bar ghraph could be either horizontal or vertical
,• By default, the horizontal axis (or x-axis) shows the data categories. On the other hand, the vertical axis (or y-axis) is the scale for the categories.
,• They allow the reader to identify patterns or trends in a more easily way than tables with only numeric data.
which of the following representations show y as a function of x
The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.
What is a Function?A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.
The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.
In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.
The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.
The answer is: B.
Learn more about function on:
https://brainly.com/question/10439235
#SPJ1
If a truck weighs % more than a car, then the truck's weight is _____% of the car's weight.
Answer:
what's the percent???
A baseball team needs to purchase shirts for its players. Company A charges a flat fee of $125 plus $5 per shirt. Company B does not have a flat fee but charges $15 per shirt. What is the minimum number of shirts that must be ordered for company A to be a better deal than company B? Enter your answer in the box.
Answer:
I need further information to complete the qeustion. What is company B offering?
Step-by-step explanation:
y = 5x + 125
Ravi says,” if 10 years are added to my age, then my age becomes 25.”if Ravi’s present age is x years,
then find the linear equation satisfying the given condition.
Answer:
The linear equation satisfying the given condition is,
\(x=t+15\)
where x is Ravi's age and t is the number of years
(after 10 years (t=10) his age becomes 25)
Step-by-step explanation:
Let x be Ravi's age
Now, his current age is unknown, but if you add 10 to it, then it becomes 25, so
x + 10 =25
so, his current age is x = 25 =10
x = 15
Now, we find the linear equation satisfying the given condition,
Let t be the number of years that have passed since the present time
so, if 0 years have passed, his age will be 15 years
after 1 year, his age will be 16 years
after 10 years, his age will be 25 years and so on
so
\(x = t + 15\)
this satisfies the given condition, since if we add ten years i.e t = 10,
then we get 25
The equation is:
⇨ x + 10 = 25Work/explanation:
Here's the linear equation for Ravi's age.
Ravi's age is x.
If you add 10 to x you get x + 10.
That gives 25.
So the linear equation is x + 10 = 25.