Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Equivalent question: Find the slope of line going through points (1,-5) and (10,13).
Line points up vertically and subtract. Then put 2nd difference on top of first difference.
(1,-5)
(10,13)
---------'subtracting
-9, -18
So the slope of the line gong through point's (1,-5) and (10,13) is -18/-9=2.
The common difference of an arithmetic sequence whose first term is -5 and whose tenth term is 13 is 2.
y-2x-1=0 for -2 ≤ x ≤ 4 . can someone help me graph a straight line for this pls ?
Answer: See the graph below.
It is a straight line segment with endpoints (-2,-3) and (4,9).
===============================================================
Explanation:
We're told that x is between -2 and 4, including both endpoints.
Let's see what y is when we plug in x = -2
y-2x-1 = 0
y-2(-2)-1 = 0
y+4-1 = 0
y+3 = 0
y = -3
So x = -2 pairs up with y = -3. The point (x,y) = (-2,-3) is on the line. This is the left most endpoint.
Repeat for x = 4 to find what y must be
y-2x-1 = 0
y-2(4)-1 = 0
y-8-1 = 0
y-9 = 0
y = 9
Therefore the point (x,y) = (4,9) is also on the line. It's the right most endpoint
Once we have the two points, we can form the straight line. Simply connect the endpoints mentioned as shown below. We don't extend the line infinitely outwards in both directions because [tex]-2 \le x \le 4[/tex] meaning x cannot be smaller than -2, and x cannot be greater than 4 either.
Side note: The given equation is the same as y = 2x+1. It has slope 2 and y intercept 1.
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. How many did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?
Answer:
Number of pineapples= 10
number of pears = 19
number of kiwis = 10 -2 = 8
Step-by-step explanation:
Cost of a pear = $ 0.50
Cost of a pineapple = $ 1.5
cost of a kiwi = $ 0.3
Let the pineapples = p
Number of pears = 9 + p
Number of kiwis = p - 2
The cost is
0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50
0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50
0.95 p = 9.6
p = 10
Answer: There is 3 pineapples, 12 pears and 10 kiwis
Hope this help :)
Student received 10 different resistors for a laboratory setup with five slots to attach resistors, where each slot can accommodate only one resistor. In how many ways those 10 resistors can be attached to the laboratory setup?
Answer:
The number of ways of attaching the 10 resistors = 5¹⁰ = 9,765,625 ways
Step-by-step explanation:
Given;
total number of resistors, n = 10
number of slots available, = 5
The first resistor can be attached in 5 ways,
The second resistor can also be attached in 5 ways,
The third resistor can also be attached in 5 ways, etc
Each of the resistors can be attached in 5 different ways;
The number of ways of attaching the 10 resistors = 5¹⁰ = 9,765,625 ways
PLEASE may I get help, I'm so lost. It would mean a lot to me, please.
A grade school is putting on its Spring show. The theater seats 120 people. Because of the demand for tickets, the school has made the following specifications:
•The number of tickets for children will be twice as many as the number for adults.
•Full-price adult tickets will be $24; children's tickets will be $12
•At least 10 of the adult tickets will be made available to seniors aged 60 and over at 25% discount
•Total ticket sales must be at least $1,800
1)How many children's tickets will be sold? 2)How many adult tickets (full-priced and senior) will be sold?
3)How many of the adult tickets can be sold with the senior discount?
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Answer:
804010 to 20, inclusiveStep-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
__
2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
__
3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
Write – 90 5/8 as a decimal number.
Answer:
-90.625
Step-by-step explanation:
Answer:
[tex]-90~5/8\\[/tex]
[tex]Decimal=-90.625[/tex]
-------------------------------
~HOPE IT HELP....~
~HAVE A GREAT DAY!!~
a girl painted a rectangular-shaped portrait which is 10 inches long and 8 inches wide. if she trimmed 2/1/2 inches on both sides of the width and 2 inches on one side of the length, what would be the resulting area?
Answer:
32 in^2
Step-by-step explanation:
8-2=6, 6-2=4. 4 inches wide
10-2=8. 8 Inches tall.
4*8=32
In which month was the peak, the largest deposit, made?
A histogram titled Savings Account Deposits has Months on the x-axis and amount deposited on the y-axis. January is 50 dollars; February is 80 dollars; March is 110 dollars; April is 100 dollars: May is 95 dollars; June is 250 dollars; July is 320 dollars; August is 300 dollars; September is 80 dollars.
January
June
July
August
Your answer is July.
From least to greastest:
January: $50
February: $80
September: $80
May: $95
April: $100
March: $110
June: $250
August: $300
July: $320
I hope this helps!
The month that had the largest deposit is the month of; July
How do you Interpret a Histogram?
From the given histogram with savings account on the x-axis and amount deposited on the y-axis, we can see the following amounts deposited for each month as follows;
January = $50February = $80March = $110April = $100May = $95June: $250July: $320August: $300September: $80The month with the largest deposit is clearly July
Read more about Histograms at; https://brainly.com/question/25983327
How do I find the missing number?
Answer:
to find the missing number is all u have to do is understand the problem and silve the problem!
Step-by-step explanation:
paki brainly po
find the length of side AB
Answer:
AB = 5.6 cm
Step-by-step explanation:
Reference angle (θ) = 62°
Hypotenuse = 12 cm
Adjacent = AB
Apply the trigonometric ratio formula, CAH, which is:
Cos θ = Adj/Hyp
Plug in the values
Cos 62° = AB/12
12*Cos 62° = AB
5.63365876 = AB
AB = 5.6 cm (1 decimal place)
The three methods used to classify costs into their fixed and variable components includes:_____.
a. high-low method.
b. scatter diagrams.
c. most-squares regression.
d. least-squares regression.
e. variable-fixed method.
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.
On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.
A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
The three methods used to classify costs into their fixed and variable components includes:
high-low method.scatter diagrams.least-squares regression.find the measure of angle BAC
Answer:
a= 26
Step-by-step explanation:
180-130=50
total angle in triangle =180
4a+a+50=180
then proceed like norma algebra
sum of first n terms of an ap sequance is 3n2+5n.what is the sum of its first n+1 terms.find the sum of its first 10 terms.
Answer:
a) 3n^2 + 11n + 8
b) 350
Step-by-step explanation:
10) 3(10^2)+ 5*10 = 350
n+1) 3(n+1)^2 + 5(n+1)
3(n^2 + 2n + 1) + 5n+5
3n^2 + 6n+3 + 5n + 5
3n^2 + 11n + 8
Can someone just check my answers please? Please let me know which questions are wrong. Thank you for your time.
Answers:
1 liter of acid4 liters of waterYou got the first question correct, but the second one is wrong. The two values must add up to 5.
===================================================
Explanation:
We're told that 20% of this solution is acid. We have 5 liters total, so
20% of 5 = 0.20*5 = 1
Meaning there's 1 liter of pure acid in this solution.
The remaining 5-1 = 4 liters of the solution is water
Or you could note that if 20% is pure acid, then the remaining 80% is water
80% of 5 = 0.80*5 = 4
------------------
Another approach is to realize that 20% is the same as the fraction 1/5
So if 1/5 of the mix is pure acid, and we have 5 liters of the solution, then we must have 1 liter of pure acid
(1 liter of pure acid)/(5 liters of solution) = 1/5 = 20% acid solution
Answer:
I think they all look pretty good for the most part
3. A)Find the next number in the sequence.
$1,27, 9, 3, _1_
B) Is the sequence arithmetic, geometric, or neither?
Help me find this answer please
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Answer:
1/3; geometric
Step-by-step explanation:
Apparently, your sequence is ...
81, 27, 9, 3, 1, ...
The differences between these numbers vary, but the ratio of each to the one before is a constant:
27/81 = 9/27 = 3/9 = 1/3
The sequence is geometric with a common ratio of 1/3. The next number in the sequence is (1)(1/3) = 1/3.
find the rate of change of volume of a cone if dr/dt is 3 in./min. and h=4r when r = 8 inches
Answer:
[tex]v = \frac{1}{3}bh[/tex]
since base is pi r^2
[tex]v = \frac{1}{3} \pi \: r {}^{2} h[/tex]
it's given that h=4r
[tex]v = \frac{1}{3} \pi \: r^{2} (4r) = \frac{4}{3} \pi \: {r}^{3} [/tex]
now find derivative
[tex] \frac{dv}{dt} = 4\pi \: r {}^{2} [/tex] × dr/dt
r=8 , dv/dt = 3
dv/dt = 4pi (8)^2 ×3 = 768pi
Answer:
768 pi in^3/min
Step-by-step explanation:
Volume of cone=1/3 pi×r^2×h
Differentiating this gives:
dV/dt=1/3×pi×2r dr/dt×h+1/3×pi×r^2×dh/dt
We are given the following:
dr/dt = 3 in./min.
h=4r when r = 8 inches
If h=4r then dh/dt=4dr/dt=4(3 in/min)=12 in/min
If h=4r and r=8 in, then h=4(8)=32 in for that particular time.
Plug in:
dV/dt=1/3×pi×2r dr/dt×h+1/3×pi×r^2×dh/dt
dV/dt=1/3×pi×2(8)(3)×32+1/3×pi×(8)^2×12
dV/dt=pi×2(8)(32)+pi×(8)^2(4)
dV/dt=pi(256×2)+pi(64×4)
dV/dt=pi(512)+pi(256)
dV/dt=pi(768)
dV/dt=768pi
dV/dt=768/pi in^3/min
Find the equation of the line passing through (3,5) with a slope of 1
WILL GIVE BRAINLIEST
Slope-intercept form:
y = x + 2
Point-slope form:
y − 5 = 1 ⋅ ( x − 3 )
I hope this is correct and helps!
equivalent fraction of 9/11
Answer:
1822
Step-by-step explanation:
The fraction 1822 is equal to 911 when reduced to lowest terms.
18
22
is equivalent to 9
11
because 9 x 2 = 18 and 11 x 2 = 22
27
33
is equivalent to 9
11
because 9 x 3 = 27 and 11 x 3 = 33
36
44
is equivalent to 9
11
because 9 x 4 = 36 and 11 x 4 = 44
Answer:
18/22
Step-by-step explanation:
You can choose any number and if you multiply the top number (numerator) and the bottom number (denominator) by that same number, the fractions are equivalent.
If you choose the number 2, then multiply 9 x 2 = 18, and 11 x 2 = 22
Or multiply by 7. Then you would get an equivalent fraction of 63/77
Which equation represents the line that passes through points (1, –5) and (3, –17)?
Answer:
equation : y= -6 + 1
Step-by-step explanation:
Round 36.319 to the nearest tenth
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
Type the expression that results from the following series of steps: Start with y times by 4 then add 9.
Answer:
4y + 9
Step-by-step explanation:
"y times 4" means 4y because 4*y = 4y
And then "add 9."
Which would be 4y + 9.
Answer:
4y + 9
Step-by-step explanation:
y times 4 = 4y
add 9 = + 9
It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.
Answer:
85 mi
Step-by-step explanation:
Let d = the distance in miles traveled
Let M = the time in hours for Maria to travel d miles
[tex]m+\frac{3}{4} =[/tex] time in hours for Ricky to travel d miles
(Note that [tex]\frac{3}{4}[/tex] hrs = 45 min)
----------------------
Maria's equation:
d = 51m
Ricky's equation:
d = 24 · [tex](m+\frac{3}{4} )[/tex]
----------------------
Substitution:
51m = 24 · [tex](m+\frac{3}{4} )[/tex]
51m = 24m + 45
6m = 10
m = [tex]\frac{5}{3}[/tex]
----------------------
d = 51m
d = 51 · [tex](\frac{5}{3})[/tex]
d = 85
----------------------
The distance traveled is 85 mi
If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles
Speed and distancesSpeed is the ratio of distance traveled to time taken. Mathematically:
Distance = Speed/Time
According to the given question:
Let d be the distance in miles traveledLet M be the time in hours for Maria to travel d milesLet the required time in hours for Ricky to travel be d milesSet up the Maria equation:
d = 51m
Set up Ricky's equation:
d = 24 · (m+3/4)
Substitute
51m = 24 · (m+3/4)
51m = 24m + 45
6m = 10
m = 5/3
Determine the required distance
d = 51m
d = 51 · 5/3
d = 85
Hence the distance traveled is 85 mile
Learn more on distance and speed here: https://brainly.com/question/26046491
Determine the value of z in the figure
5z
130°
A.Z = 30°
B.Z = 45°
C.z = 50°
D.Z = 10°
Hi!
180° - 130° = 50°
5z = 50° || : 5
z = 10°
Answer:
10
Step-by-step explanation:
since 130 and the 5z are complementary angles, by subtracting 130 from 180, you get 50. then you equal in 50 to 5z. 50=5z. to solve, you divide 5 from 50 and your answer is 10.
During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?
Answer:
$29,851.24
Step-by-step explanation:
The salary started as x.
Each year it was increased 15%.
A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.
115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15
For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.
Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.
Now let's get back to our problem.
The salary started as x.
Each year, the increase in salary was 15% of the previous salary.
After 1 year the salary is 1.15x.
After 2 years, the salary is 1.15(1.15x).
After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x
We are told that the salary became $45,400 after the three 15% increases, so
(1.15)^3 * x = 45,400
Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875
1.520875x = 45,400
Divide both sides by 1.520875.
x = 45,400/1.520875
x = 29,851.24
Answer: $29,851.24
Polly took ½ of an hour to get to the market while David took 2 hours. How much longer did David take to get there?
Answer:
4 times longer
Step-by-step explanation:
1/2 of a hour is 30 minutes
2 hours is 120 minutes
120 ÷ 30 = 4
4 times longer
Answer:
The answer is 4 hours.
Step-by-step explanation:
Think of it like this:
1/2 = 0.5 in decimal form.
2 ÷ 0.5 = 4
I hope this helps. Have a GREAT day!
A display case of toy rings are marked 5 for $1. If Zach wants to buy 50 toy rings, how much will Zach spend (not including tax)
Answer:
$10
Step-by-step explanation:
5 toys = $1
Zach wants 50 of these
50 ÷ 5 = 10
10 x 1 = 10
= $10
Answer:
10 dollars
Step-by-step explanation:
We can use a ratio to solve
5 rings 50 rings
---------- = --------------
1 dollar x dollars
Using cross products
5*x = 1 * 50
5x = 50
Divide by 5
5x/5 = 50/5
x = 10
$2900 at 13% for 30 years. i need simple interest and compounding interest
Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding
[tex]2900(1+.13)^{30}=113436.1041[/tex]
Answer:
113436.1041
Step-by-step explanation:
2900 ( 1 +0.13 ) ^ 30
Formula : amount ( 1 + percentage ) ^ years
[tex](v+6)^{2}=2v^{2}+14v+12[/tex]
Answer:
v=-6 or 4
Step-by-step explanation:
Answer:
the answer would be 5
Step-by-step explanation:
have to do the question multiply add and divide to find your answer
Jo invest 5000 at a rate of 2% per year compound interest.calculate the value of her investment at the end of 3years.
Answer:
If you need further explanation, comment on this
What is the general form of the equation for the given circle centered at [0, 0)?
Answer:
x^2+y^2=r^2 is quation of circle whose centre is (0,0)