Answer:
Step-by-step explanation: by Saturday,, he would have read 25 + 32 + 39 +46 +53 +60 =255 pages. Note the number of pages read increases by 7 each day
In circle O, AE and FC are diameters. Arc ED measures 17°. What is the measure of ? °
Hey There!
The answer is going to be the answer is
mEFC=253°
To find the answer you must find the value of mEF which is
mEF,mFEC,mDC,mED
You subtract each of them and you should get 73.
Then add 180 and your final choice should be 253
Answer:
253
Step-by-step explanation:
ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -1)B. (-7, 1)C. (7, 1)D. (7, -1)
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of B are (-5,-7).
If ABC is reflected across x = 1, then
[tex](x,y)\rightarrow(1-(x-1),y)[/tex]
[tex](x,y)\rightarrow(2-x,y)[/tex]
[tex](-5,-7)\rightarrow(2+5,-7)[/tex]
[tex](-5,-7)\rightarrow(7,-7)[/tex]
If ABC is reflected across y =-3.
[tex](x,y)\rightarrow(x,-3-(y-(-3)))[/tex]
[tex](x,y)\rightarrow(x,-6-y)[/tex]
[tex](7,-7)\rightarrow(7,-6-(-7))[/tex]
[tex](7,-7)\rightarrow(7,1)[/tex]
Therefore option C is correct.
what is the value of x?
Angle G and Angle F are the same, which means that HF = GH
This means that x = 15
Answer:x=15
Step-by-step explanation:
The daily cost of hiring a plumber,y,to work x hours on a repair project can be modeled using the linear function y=55x +75. The plumber charges a fixed cost of $75 plus sn additional cost of 55 per hour.The plumber works a maximum of 50 hours per week. For one week of work what is the domain of the function for this situation
The domain of the function for one week of work is all values of x that are less than or equal to 50.
The domain of a function represents the set of all possible input values for that function. In this situation, the function represents the daily cost of hiring a plumber for x hours of work, and the maximum number of hours the plumber works per week is 50. Therefore, for one week of work, the domain of the function is the set of all values of x that are less than or equal to 50.
Learn more about domain here:https://brainly.com/question/30133157
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A jogger runs 91 yd in 10.00 seconds. What would be his time for a 449 m run at the same rate? Answer in units of s.
Answer:
4,910 seconds
Step-by-step explanation:
Solve this system of linear equations. Separate the x- and y- values with a coma. 3x=36-15y. 11x =-78+15y
Answer:
(-3,3)
Step-by-step explanation:
3x=36-15y and 11x =-78+15y
We move all x and y terms to the left hand side of the equation , so that we can apply elimination method
3x=36-15y , Add 15 y on both sides , 3x + 15y = 36
11x =-78+15y, subtract 15y on both sides, 11x -15y = -78
Now we add both equations
3x + 15y = 36
11x -15y = -78
------------------------
14x = -42
divide both sides by 14
x= -3
Now Plug in -3 for x in any one of the given equation
3x=36-15y
3(-3) = 36 - 15y
-9 = 36 - 15y
Subtract 36 on both sides
-45 = -15y
Divide both sides by -15
So y= 3
Answer is (-3,3)
(: (: (: (: (: (: (: (: (: (: (: (: (:
Answer:
3
Step-by-step explanation:
I can see it in the demonstration graph
Answer:
3
Step-by-step explanation:
Male: 12
Female: 9
12 - 9 = 3
Hopes this helps
A farm lets you pick 3 pints of raspberries for $12.00 how many pints do you get per dollar
Answer:
0.25 pints of raspberries do you get per dollar.
Step-by-step explanation:
Unit rate defined as the rates are expressed as as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.
As per the given statement: A farm lets you pick 3 pints of raspberries for $12.00.
⇒ for $12 a farm lets you pick 3 pints of raspberries.
then by unit rate definition,
Unit rate per dollar = [tex]\frac{3}{12} = \frac{1}{4} = 0.25[/tex] pint
Therefore, 0.25 pints of raspberries do you get per dollar.
Answer:0.25
Step-by-step explanation: hope I helped !
Tristan is building steps up to a deck that is 156 5 6 yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?
Answer:
8 1/4
Step-by-step explanation:
Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of containing the same. If 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns? a. 270,675 b. 538,650 c. 541,350 d. 269,325
Answer:
B) 538, 650
Step-by-step explanation:
Given:
Errors on tax returns filed manually = 20%
Errors on tax returns filed electronically = 0.05%
Tax return filled in each way = 2.7 million
Manual filing:
2,700,000 x 20% = 2,700,000*0.2 = 540,000
Electronic filing:
2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350
Error difference = 540,000 - 1,350 = 538,650
There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.
Thank you.
The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.
Further Explanation:
Explanation:
The total tax return is 2.7 million.
The errors on the tax return for electronic filling are [tex]0.05\%.[/tex]
The errors on the tax return for manual filling are [tex]20\%.[/tex]
Number of errors in filing tax return manually can be calculated as follows,
[tex]\begin{aligned}{\text{Errors in manual filling}} &= 2700000 \times 20\%\\ &= 2700000 \times \frac{{20}}{{100}} \\&= 540000\\\end{alignd}[/tex]
Number of errors in filing tax return electronically can be calculated as follows,
[tex]\begin{aligned}{\text{Errors in electronically filling}} &= 2700000 \times 0.05\% \\&= 2700000 \times \frac{{0.05}}{{100}} \\&= 1350 \\\end{aligned}[/tex]
The difference in the errors can be calculated as follows,
[tex]\begin{aligned}{\text{Difference}} &= 540000 - 1350 \\&= 538650 \\\end{aligned}[/tex]
The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Tax and Returns
Keywords: Tax, returns, filed, tax return, 20%, chance, errors, electronically, 0.05%, containing errors, chance, same, 2.7 million, each way, manually, manually filed, erroneous, 270575, income tax, salary, tax on salary.
I need help on this. Please
Answer: choice C, y = 0.014x+0.85
==============================
Explanation:
Each column of the table represents an (x,y) pair of values
x = number of pages
y = cost
If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points
m = (y2-y1)/(x2-x1)
m = (2.25-1.55)/(100-50)
m = 0.7/50
m = 0.014
So far, we see the answer is between A,B or C as they have the slope of 0.014
Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b
y = mx+b
y = 0.014x+b .... plug in the slope found earlier
1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)
1.55 = 0.7+b
1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides
0.85 = b
b = 0.85
With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.
You and your friend each start a car-washing service. You spend $25 $ 25 on supplies and charge $10 $ 10 per car. Your friend spends $55 $ 55 on supplies and charges $13 $ 13 per car. How many cars do you have to wash to earn the same amount of money as your friend?
Answer:
If this is from TTM the answer is 10 cars.
Step-by-step explanation:
Nikki spent $59.29 on clothing. She bought 3 shirts and a pair of pants. The pair of pants cost $21.79. If each shirt cost the same amount, how much did each shirt cost?
If the square ABCD is dilated by a scale factor of 2 to form A'B'C'D', what is the ratio of the area of A'B'C'D' to the area of ABCD
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
Answer:
1:4 C
Step-by-step explanation:
A printer prints 75 pages in 5 minutes. At the same rate, how many pages does the printer print in 7 minutes? Solve and show your work. • Explain how you solved using the words "first," "next," and "last."
Answer:
105
Step-by-step explanation:
first, the printer print 15 (75/5) pages per minutes,
next, 7×15=105
Help plz!! Will mark brainliest!
Answer: point Q is located in (3,4)
Step-by-step explanation: the ratio of SQ:QT is 5:2, and for every two units (up two, right two) it is one ratio. go up two, right two five times that leads a ratio between 5:2.
The angle of depression from the top of a lighthouse to a boat in the water is 30°. If the lighthouse is 89 feet tall how far is the boat from the lighthouse to the nearest foot?
A) 45 feet
B) 51 feet
C) 63 feet
D) 154 feet
Answer:
D) 154 feet
Step-by-step explanation:
The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.
_____
The mnemonic SOH CAH TOA reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(30°) = (89 ft)/(distance to boat)
Then ...
... distance to boat = (89 ft)/tan(30°) ≈ 154 ft
Which expression represents a number that is four times as large as the sum of 8 and 160?
On a field trip, there was 5 girls for every 8 boys. How many girls attended the 130-student field trip
36?
Bc if you divied 130/5 (girls) you get 36? Im sorry this may not be right, I'm not for sure :P
Jocelyn estimates that a price of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?
Answer:
The percent error of Jocelyn's estimate is 2.14 .
Step-by-step explanation:
Formula
[tex]Percentage\ error = \frac{Error\times 100}{exact\ value}[/tex]
Where
[tex]error = \left | approx\ value - exact\ value \right |[/tex]
As given
Jocelyn estimates that a price of wood measures 5.5 cm.
If it actually measures 5.62 cm.
approx value = 5.5 cm
exact value = 5.62 cm
Put in the error formula
[tex]error = \left | 5.5 - 5.62 \right |[/tex]
[tex]error = \left | -0.12\right |[/tex]
error = 0.12
Put in the formula
[tex]Percentage\ error = \frac{0.12\times 100}{5.62}[/tex]
[tex]Percentage\ error = \frac{12}{5.62}[/tex]
Percentage error = 2.14 (Approx)
Therefore the percent error of Jocelyn's estimate is 2.14 .
Jose has scored 562 points on his math test so far this this semester. To get an A for the semester, he must score at least 650 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests in order to get an A
Answer:
562 + x ≥ 650
x ≥ 88
Step-by-step explanation:
He has 562 points. He needs x points to get an A. He must get at least 60 points to get an A.
562 + x ≥ 650
To solve this, we subtract 562 from each side
562-562 + x ≥ 650-562
x ≥ 650-562
x ≥ 88
What is the 20th term of the arithmetic sequence?
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 18 miles per hour faster than the eastbound train. If the two trains are 800 miles apart after 4 hours, what is the rate of the westbound train?
Do not do any rounding.
This has to be right, the first time because it will force me to start over
Answer:
The combined speeds of the trains equals 800 miles per 4 hours or
200 miles per hour.
This averages out to 100 miles per hour for each train.
Westbound train is 18 mph faster so
109 mph = Westbound
91 mph = Eastbound
That seems to be right except trains speeds of 91 mph and 109 mph seem to be VERY fast.
Step-by-step explanation:
Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form to write the equation of the line. Then convert into Slope-Intercept Form.
Answer:
The equation of the line would be y = 5x - 28
Step-by-step explanation:
First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.
y - y1 = m(x - x1)
y - 2 = 5(x - 6)
Then we must solve for y.
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )
1) | m | -2 > 0
2) | x - 4 | - 3 > 5
3) | 6 + 9x | ≤ 24
4) | 1 - 5a | > 29
QUESTION 1
The given inequality is
[tex]|m|-2>0[/tex]
We group like terms to get,
[tex]|m|>2[/tex]
This implies that,
[tex]-m>2[/tex] or [tex]m>2[/tex].
We simplify the inequality to get,
[tex]m<-2[/tex] or [tex]m>2[/tex].
We can write this interval notation to get,
[tex](-\infty,-2)\cup (2,+\infty)[/tex].
QUESTION 2
[tex]|x-4|-3\:>\:5[/tex].
We group like terms to get,
[tex]|x-4|\:>\:5+3[/tex].
[tex]|x-4|\:>\:8[/tex]
We split the absolute value sign to get,
[tex]-(x-4)\:>\:8[/tex] or [tex]x-4\:>\:8[/tex]
This implies that,
[tex]x-4\:<\:-8[/tex] or [tex]x-4\:>\:8[/tex]
[tex]x\:<\:-8+4[/tex] or [tex]x\:>\:8+4[/tex]
[tex]x\:<\:-4[/tex] or [tex]x\:>\:12[/tex]
We can write this interval notation to get,
[tex](-\infty,-4)\cup (12,+\infty)[/tex].
QUESTION 3
The given inequality is
[tex]|6+9x|\leq 24[/tex]
We split the absolute value sign to obtain,
[tex]-(6+9x)\leq 24[/tex] or [tex](6+9x)\leq 24[/tex]
This simplifies to
[tex]6+9x\ge -24[/tex] and [tex]6+9x\leq 24[/tex]
[tex]9x\ge -24-6[/tex] and [tex]9x\leq 24-6[/tex]
[tex]9x\ge -30[/tex] and [tex]9x\leq 18[/tex]
[tex]x\ge -\frac{10}{3}[/tex] and [tex]x\leq 2[/tex]
[tex]-\frac{10}{3}\leq x\leq2[/tex]
We write this in interval form to get,
[tex][-\frac{10}{3},2][/tex]
QUESTION 4
The given inequality is
[tex]|1-5a|>29[/tex]
We split the absolute value sign to get,
[tex]-(1-5a)>29[/tex] or [tex]1-5a>29[/tex]
This simplifies to,
[tex]1-5a\:<\:-29[/tex] or [tex]1-5a\:>\:29[/tex]
This implies that,
[tex]-5a\:<\:-29-1[/tex] or [tex]-5a\:>\:29-1[/tex]
[tex]-5a\:<\:-30[/tex] or [tex]-5a\:>\:28[/tex]
[tex]a\:>\:6[/tex] or [tex]a\:<\:-\frac{28}{5}[/tex]
We write this in interval notation to get,
[tex](-\infty,-\frac{28}{5})\cup (6,+\infty)[/tex]
Can someone please explain how to do these?
Answer:
First question answer: The limit is 69
Second question answer: The limit is 5
Step-by-step explanation:
For the first limit, plug in [tex]x=8[/tex] in the expression [tex](9x-3)[/tex], that's the answer for linear equations and limits.
So we have:
[tex]9x-3\\9(8)-3\\72-3\\69[/tex]
The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value [tex]x=1[/tex] into the simplified expression to get the correct answer. Shown below:
[tex]\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}[/tex]
Now putting 1 in [tex]x[/tex] gives us the limit:
[tex]\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5[/tex]
So the answer is 5
1.)What number needs to be added to both sides of the equation in order to complete the square? x2+16x=18
answer is 64
x^2+16x+64=18+64
2.)Solve for x over the complex numbers.
x2+10x+41=0
answer is x=-5+4i and -5-4i
3.)What is the factored form of the expression over the complex numbers?
16x2+9y2
answer is (4x+3iy)(4x-3iy)
Answer:
all of your answers are correct
1.) 64
2.) x= -5+4i and x= -5-4i
3.) (4x+3iy)(4x-3iy)
Answer:
1.When we are completing squares, we need to divide by 2 the linear term and then find its square power, that's the term we need to add on both sides of the equality, as follows
[tex](\frac{16}{2})^{2} =(8)^{2}=64[/tex]
Basically, we need to add the number 64 both sides
[tex]x^{2} +16x+64=18+64[/tex]
2.The given equation is
[tex]x^{2} +10x+41=0[/tex]
We need to apply the quadratic formula to solve this equation
[tex]x_{1,2} =\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]
Where [tex]a=1[/tex], [tex]b=10[/tex] and [tex]c=41[/tex]. Replacing these values, we have
[tex]x_{1,2} =\frac{-10(+-)\sqrt{10^{2}-4(1)(41) } }{2(1)}\\x_{1,2} =\frac{-10(+-)\sqrt{100-164 } }{2}=\frac{-10(+-)\sqrt{-64} }{2}[/tex]
There we need to use complex number, to transform the subradical number in a positive number
[tex]x_{1,2}=\frac{-10(+-)\sqrt{64}i }{2}=\frac{-10(+-)8i}{2}\\ x_{1,2}=-5(+-)4i[/tex]
Therefore, the complex solutions are
[tex]x_{1}=-5+4i\\ x_{1}=-5-4i[/tex]
3.The given expression is
[tex]16x^{2} +9y^{2}[/tex]
To solve this expression, remember that [tex]i=\sqrt{-1}[/tex]
First, we expresse both squares uniformly,
[tex]16x^{2} +9y^{2}=(4x)^{2}+(3y)^{2}[/tex]
But, we know that [tex]-(-1)=1[/tex], so
[tex](4x)^{2}+(3y)^{2}=(4x)^{2}-(-1)(3y)^{2}[/tex]
Then,
[tex](4x)^{2}-(-1)(3y)^{2}=(4x)^{2}-(3y)^{2}i^{2}[/tex], because [tex]i^{2}=-1[/tex]
Therefore, the expression with complex numbers is
[tex](4x)^{2}-(3iy)^{2}\\\therefore (4x+3iy)(4x-3iy)[/tex]
What would I write in the boxes? Geomtetry help!
c) definition of midpoint
f) definition of congruency
g) property of rectangle (opposite sides are congruent)
h) SAS
i) CPCTC
You earned $34,000 and your total tax due was $6,200. What was your average tax rate? a) 8% b) 10% c) 18% d) 20%
Answer is C 18%
Step-by-step explanation:
A farmer plants apple, pear, and cherry trees in an orchard. The number of apple trees is 8 more than twice the number of pear trees. The number of cherry and pear trees combined is 11 more than the number of apple trees. The farmer plants 143 trees total. How many of each type of tree did the farmer plant in the orchard?
Answer:
Let x represents the number of apple tree and y represents the number of pear tree and z represents the number of cherry tree in an orchard.
From the given statement: The number of apple trees is 8 more than twice the number of pear trees.
⇒ [tex]x = 2y + 8[/tex] .....[1]
Also, It is given that the number of cherry and pear trees combined is 11 more than the number of apple trees.
⇒[tex]y + z = x + 11[/tex] ......[2]
The farmer plants 143 trees total.
⇒[tex]x +y +z =143[/tex] .....[3]
Substitute equation [2] into [3] we get;
[tex]x + x + 11 = 143[/tex]
Combine like terms;
[tex]2x +11 = 143[/tex]
Subtract 11 on both sides we get;
2x + 11 -11 =143 -11
Simplify:
2x = 132
Divide both sides by 2 we get;
x = 66
Substitute the value of x in equation [1];
66 = 2y + 8
Subtract 8 on both sides we get;
[tex]66 -8 =2y + 8 -8[/tex]
Simplify:
58 = 2y
Divide by 2 on both sides we get;
y = 29
Substitute the value of x and y in equation [3];
we have;
29 + 66 + z = 143
95 + z =143
Subtract 95 on both sides, we get;
95+ z -95 = 143- 95
Simplify:
z = 48
The framer plant in the orchard = 66 apple trees , 29 pear trees and 48 cherry trees