Answer: B
Step-by-step explanation:
For 237,629 the 6 is located in the hundreds section so its value is approx. 600.
Now when you multiply 600 by 10 you get 6000
So the number of 6 should be located in the 6,000 range which is only in answer B 426,579
Answer:
B- 426,579
Step-by-step explanation:
The value of 6 in 237,629 is 600
600×10=6,000
Which answer has 6,000 as the value of 6?
- Answer B: 426,579
What is the CLOCKWISE equivalent to a CLOCKWISE rotation by an angle of 62,000 degrees?
The number of rotations is 172.
Explain rotationRotation is a circular movement about the specific axis or point of rotation. The two most prevalent directions for rotation are clockwise and counterclockwise, or anti-clockwise.
Rotation simply means going around a central point. Any point on the shape has a constant distance from the center.
Given, the clockwise rotation is by 62,000°.
To find the number of rotation (n),
[tex]n = \frac{62000}{360}[/tex]
n = 172.2
Therefore, the number of rotations is 172.
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(A) find the perimeter of triangle BCF, to the nearest hundredth
(B) find the area of triangle BCF
Perimeter of triangle FBC is 19.24 units
Area of triangle FBC is 100.62 square units
Given,
The triangle with vertices;
F(-3, 5)
B(3, 2)
C(1, -2)
We have to find the perimeter and area of the triangle;
Formula for getting distance from vertices;
D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]
Here,
Length of FB; F(-3, 5), B(3, 2)D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]
= [tex]\sqrt{(3 -(-3) )^{2}+(2 -5 )^{2} }[/tex]
= [tex]\sqrt{6^{2} +(-3)^{2} }[/tex]
= [tex]\sqrt{36+9}[/tex]
= √45
Length of BC; B(3, 2), C(1, -2)D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]
= [tex]\sqrt{(1 -3 )^{2}+(-2-2)^{2} }[/tex]
= [tex]\sqrt{(-2)^{2} +(-4)^{2} }[/tex]
= [tex]\sqrt{4+16}[/tex]
= √20
Length of FC; F(-3, 5), C(1, -2)D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]
= [tex]\sqrt{(1-(-3) )^{2}+(-2 -5)^{2} }[/tex]
= [tex]\sqrt{4^{2}+(-7)^{2} }[/tex]
= [tex]\sqrt{16+49}[/tex]
= √65
That is,
Length of side FB = √45 unitsLength of side BC = √20 unitsLength of side FC = √65 unitsNow,
Perimeter of triangle FBC = FB + BC + FC
= √45 + √20 + √65
= 19.24 units
Next,
Area of triangle FBC = 1/2 × BC × FB²
= 1/2 × √20 × √45²
= 100.62 square units.
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i. Can you
3. Two cards are randomly dealt from a deck. Find the probability that the first is a king and the
second is a 7. Find the probability that the first is a king and the second is a spade.
The Total Probability is 4/663 and 35/2652
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. An event's probability is a number between 0 and 1.
Solution:
We know that there are 52 cards in a deck of cards.
So, probability of getting a king = 4/52 = 1/13
And probability of getting a 7 after drawing a king is 4/51,
this is because one card is drawn out from the deck and there are only 51 cards left in the deck.
Total Probability = 1*4/13*51 = 4/663
In the secon case, there are two possibilities,
It can be the kling drawn might be of spade or not
Case 1: When King drawn is of Spade
Probaility of drawing a King of Spade = 1/52
Probability of drawing a Spade after King of Spade is drawn = 11/51
Total Probaility = 1*11/52*51 = 11/2652
Case 2: When King drawn is not of Spade
Probability of drawing a King not of Spade = 2/52
Probability of drawing a Spade after drawing the King = 12/51
Total Probability = 2*12/51*52 = 24/2652
Total Probability of drawing a king and spade = 11/2652 + 24/2652 = 35/2652
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in 2017 , sharjah unfurled the worlds largest flag measuring 70m in length and 35m in width.the flag broke the guiinness world record for the largest flag hoisted on a fixed flagpole . there are 4 colours that occupy almost the same area in the flag . based on the above information , how much area will the black part occupy
Answer:
612.5
Step-by-step explanation:
Area is the length times the width
a = 70x35
a = 2450 Divide this number by 4
612.5
Lorna Hall’s real estate tax of $2,010.88 was due on December 14, 2017. Lorna lost her job and could not pay her tax bill until February 27, 2018. The penalty for late payment is 612% ordinary interest. (Use Days in a year table.) a. What is the penalty Lorna must pay? (Round your answer to the nearest cent.) b. What is the total amount Lorna must pay on February 27? (Round your answer to the nearest cent.)
a. The penalty Lorna must pay is $26.86.
b. The total amount Lorna must pay on February 27 is $2037.74.
Given that,
On December 14, 2017, Lorna Hall's $2,010.88 real estate tax was due. Because of her job loss, Lorna was unable to pay her taxes until February 27, 2018. Late payment fees are assessed at a rate of 6 1/2% regular interest.
We have to find
a. What is the fine Lorna is required to pay
b. How much will Lorna owe in total on February 27.
First,
We know that,
i=p×r×t
Here,
i is interest.
p is principal amount.
r is rate of interest
t is time.
So, p is $2010.88
r is 6 1/2%
t is 17+31+27= 75 days is 75/365
So,
i= 2010.88×6 1/2×75/365
i= $26.86
The penalty Lorna must pay is $26.86.
Second,
We know that,
Total amount= real estate tax due amount+ Penalty pay.
Total amount= $2010.88+$26.86
Total amount= $2037.74
The total amount Lorna must pay on February 27 is $2037.74.
Therefore, a. The penalty Lorna must pay is $26.86.
b. The total amount Lorna must pay on February 27 is $2037.74.
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2. Kira has three dogs, Luna, Cooper, and Daisy.
Cooper weighs 25 pounds less than Daisy. Luna
weighs 20 pounds less than three times Cooper.
If their combined weight is 175 pounds, how
much does Luna weigh?
A. 59 pounds
B. 74 pounds
C. 78 pounds
D. 82 pounds
If their combined weight is 175 pounds, The amount of Luna weight is D. 82 pounds.
How to determine the weight?Let x represent the weight of Cooper
Let x +25 represent the weight of Daisy
Let 3x -20 represent the weight of Luna
Hence,
x + (x +25) + (3x -20) = 175
5x +5 =175
Combine like terms
5x = 175 -5
5x =170
Divide both side by 5x
x = 170/5
x =34
Weight of Luna
3x -20 where x= 34
3(32) -20
= 102 -20
= 82 pounds
Therefore the correct option is D.
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Use the quadratic formula to solve for the "solutions", or "zeros" of the equation. Did
you get 2 real answers, I real answer, or 2 imaginary answers?
Show your work F(x) =3x^2 - 40x + 180
We get 2 complex answers
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
Given that F(x) = 3x2 - 40x + 180
Set F(x) to 0, and you get ax2 + bx + c = 3x2 -40x + 180.
[-b +/- (b2 -4ac)(1/2)] is the quadratic formula. / 2a.
The stuff under the square root / radical (b2 - 4ac) is the KEY to your answer, and it determines whether you have two real, one real, or two imaginary answers. The discriminant is the term (b2 - 4ac).
Obviously, if (b2 - 4ac) > 0, you have two real answers, because the square root of a positive number is also a (positive) real number. And -b multiplied by a real number (and divided by 2a) yields two (real) answers.
If (b2 - 4ac) = 0, you have one correct answer because the square root of 0 is zero. And -b multiplied by a 0 real number (and divided by 2a) yields 1 (real) answer.
(b2 - 4ac) 0 yields two fictitious answers, because the square root of a negative number is a fictitious number. And -b multiplied by an imaginary number (and divided by 2a) yields two (complex) answers.
In this case, (b2 - 4ac) = ((-40)2 - 4(3)(180)) = 1600 - 2160 0 As a result of the discriminant is negative, the quadratic formula yields two complex answers.
Therefore we get two complex answers
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Answer:
[tex]x=\dfrac{20 +2\sqrt{35}\:i}{3}, \quad x=\dfrac{20 -2\sqrt{35}\:i}{3}[/tex]
2 imaginary answers.
Step-by-step explanation:
Given quadratic function:
[tex]f(x) =3x^2 - 40x + 180[/tex]
The zeros of a quadratic function can be found when f(x) = 0:
[tex]\implies 3x^2 - 40x + 180=0[/tex]
[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]
Therefore:
a = 3b = -40c = 180Substitute the values of a, b and c into the quadratic formula and solve for x:
[tex]\implies x=\dfrac{-(-40) \pm \sqrt{(-40)^2-4(3)(180)}}{2(3)}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{1600-2160}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{-560}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{16 \cdot 35 \cdot -1}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm \sqrt{16}\sqrt{35}\sqrt{-1}}{6}[/tex]
[tex]\implies x=\dfrac{40 \pm 4\sqrt{35}\sqrt{-1}}{6}[/tex]
Apply the imaginary number rule [tex]\sqrt{-1}=i[/tex]:
[tex]\implies x=\dfrac{40 \pm 4\sqrt{35}\:i}{6}[/tex]
[tex]\implies x=\dfrac{20 \pm 2\sqrt{35}\:i}{3}[/tex]
Therefore, the solution is 2 imaginary answers.
Imaginary numbers
Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter [tex]i[/tex].
An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].
Which function represents the graph of f (x) = -3 |x| after it is translated 5 units down?
The function that represents the graph f(x) = -3|x| is f(x) = -3|x| - 5
How to find the function of the graph ?
To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.
As it is already given in the question that the function
f(x) = -3|x|
We will use transformation rules to solve the given question
f(x)→f(x-a) ⇒ Graph shifted to right by a units
f(x)→f(x+a) ⇒ Graph shifted to left by a units
f(x)→f(x) - a ⇒ Graph shifted downwards by a units
f(x)→f(x) + a ⇒ Graph shifted upwards by a units
When it is translated 5 units down
Then we subtract 5 outside of the given function
∴ f(x) = -3 |x| - 5
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water faucet leaked 3/5 liters of water over the course of 2/5 hours. How many liters would it have leaked in 1 hour please tell me the answer
Answer:
1.5 liters
Step-by-step explanation:
How many legs do 40 cows have if 3 cows only have 2
Answer:
154 legs
Step-by-step explanation:
40-3=37
37 times 4 = 148
3 times 2 ° 6
148+6= 154
Answer: 154 legs
Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.
please give brainliest!
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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assume that the box confains 11 balls: 5 red, 3 blues, and 3 yellow. as in the text, you draw one ball, note its color, and if its yellow rrplace it. if it is not yellow you do not replace it. you then draw a second ball and note its color
The probability that the second ball drawn is yellow is of:
0.2926 = 29.26%.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In this problem, the possible outcomes to obtain a yellow ball on the second draw are:
Yellow (3/11 probability) then yellow (3/11 probability). -> yellow on the first is replaced.Non-yellow (8/11 probability) then yellow (3/10 probability) -> non yellow on the first is not replaced.Then the probability of an yellow ball on the second draw is given as follows:
p = (3/11) x (3/11) + (8/11) x (3/10) = 0.2926 = 29.26%.
Missing InformationThe problem asks for the probability that the second ball drawn is yellow.
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Finding missing side length given two similar triangles
Value of BC is 36 in triangle's similarity .
What is the triangle's similarity?
If one of the following conditions is satisfied by two triangles, they are comparable. There is equality between two sets of matching angles. It is proportionate to have three sets of comparable sides. In addition to being proportional and having equal corresponding angles, two pairs of corresponding sides are also identical.ΔABC and ΔPQR are similar .
so all sides are equal in ratio .
let BC is x .
AB/BC = PQ/QR
18/x = 2/4
18 * 4 = 2 * x
x = 18 * 4/2
x = 18 * 2
x = 36
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Louie is studying ceramics, and he was asked to submit 5 vessels from his collection to exhibit at the fair. He has 15 vessels that he thinks are show worthy. In how many ways can the vessels be chosen?
Louie can choose the vessel for exhibition using combination in 3003 ways
How to determine the number of Louie can choose the ceramicinformation from the question include
Louie is studying ceramics and he is to submit 5 vessels
He has 15 vessels
The problem will be solved using combination
combination is method of choosing or making selection when order does not matter
Louie can choose any 5 of his vessel with no particular order
The formula is ₁₅C₅
₁₅C₅ = 15! / {5!(15 - 5)! )
= 15! / {5! * 10!}
= 3003 ways
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the mean absolute deviation of Mr. Zimmerman's class is 0.46 What does this mean
Mean absolute deviation is the variation in a data set and is the average distance between each value and mean.
It is calculated by finding the difference between each data value and mean and then finding average of that.
So, let data set be x1,x2,x3,x4...xN.
mean of the data set is [tex]\bar{x}[/tex].
then mean absolute deviation will be
[tex]M.A.D=\sum\limits^N_{n=0}\frac{ {x_n-\bar{x}}}{N}[/tex]
Thus, mean absolute deviation shows how much the data vary in the data set.
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Edgar accumulated $5,000 in credit card debt. If the interest rate is 20% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years with monthly compounding?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer
Correct answer: $7,434.57
Answer:
amount owed = $7434.57
Step-by-step explanation:
To solve this problem, we have to use the following formula:
[tex]\boxed{A = P(1 + \frac{r}{n})^{nt}}[/tex],
where:
• A = final amount
• P = principal (initial) amount
• r = annual interest rate
• n = amount of times the interest is compounded per time period
• t = number of years the money is kept for
In this case, the principal amount, P = $5000 and the money is owed for two years, so t = 2. The annual interest rate, r = 0.20 (20% = [tex]\frac{20}{100}[/tex] = 0.2). The interest is compounded monthly, which means it is compounded 12 times per year. Therefore, n = 12.
Using the above information and formula, we can calculate the amount owed after 2 years:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]= 5000(1 + \frac{0.2}{12})^{12 \times 2}[/tex]
[tex]=[/tex] $7434.57
Therefore, the amount Edgar owes after 2 years is $7434.57.
A bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns
interest several different ways at a rate of 4% for 3 years.
Find the interest if it is computed using simple interest.
Find the interest if it is compounded annually.
Find the interest if it is compounded semiannually,
Find the interest if it is compounded quarterly.
Find the interest if it is compounded monthly.
Find the interest if it is compounded daily.
Find the interest if it is compounded hourly.
Find the interest if it is compounded every minute.
Find the interest if it is compounded continuously.
What is the difference in interest between simple interest and interest compounded continuously?
1) The interest if it is compounded using simple interest is $240
2) The interest if it is compounded annually is $249.73
3) The interest if it is compounded semiannually is $252.325
4) The interest if it is compounded quarterly is $253.650
5) The interest if it is compounded monthly is $254.543
6) The interest if it is compounded daily is $254.978
7) The interest if it is compounded hourly is $254.993
8) The interest if it is compounded every minute is $254.993
9) The interest if it is compounded continuously is $254.993
10) The difference in interest between simple interest and interest compounded continuously is $14.993
What is meant by compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit, or interest on interest plus interest.
Given, P=2000
r=4%
r=4/100
r=0.04
t=3 years
1) Simple interest⇒ A=P(1+rt)
=2000(1+3(0.04)
=2000(1+0.12)
=2240
S.I= 2240-2000
S.I=$240
2) Compound interest(yearly)
1st year= 2000(4/100)=80
2nd year=2080(4/100)=83.2
3rd year=(2080+83.2)(4/100)=86.528
P=2163.2+86.528
P=2249.728
C.I=2249.728-2000
C.I=249.728≈$249.73
3) Compounded semiannually
A= P(1+(R/200))²ⁿ
A=2000(1+(4/200))⁶
A=2000(1.12616)
A=2252.325
C.I= 2252.325-2000
C.I=$252.325
4) Compounded quarterly
A=P(1+(R/400))⁴ⁿ
A=2000(1+(4/400))¹²
A=2253.650
C.I=2253.650-2000
C.I=$253.650
5) Compounded monthly
A=P(1+(R/1200))³⁶
A=2000(1+(4/1200))³⁶
A=2254.543
C.I= 2254.543-2000
C.I=$254.543
6) Compounded daily
A=P(1+(R/36500))³⁶⁵ⁿ
A=2000(1+(4/36500))¹⁰⁹⁵
A=2254.978
C.I=2254.978-2000
C.I=$254.978
7) Compounded hourly
A=P(1+(R/876000))²⁶²⁸⁰
A=P(1+(4/876000))²⁶²⁸⁰
A=2254.993
C.I=2254.993-2000
C.I=$254.993
8) Compounded every minute
A=P(1+(R/52560000))¹⁵⁷⁶⁸⁰⁰
A=P(1+(4/52560000))¹⁵⁷⁶⁸⁰⁰
A=2254.993
C.I=2254.993-2000
C.I=$254.993
9) Compounded continuously
A= [tex]Pe^{rt}[/tex]
A=2000([tex]e^{0.04*3}[/tex])
A=2254.993
C.I=2254.993-2000
C.I=$254.993
10) The difference in interest between simple interest and interest compounded continuously is
254.993-$240=$14.993
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F(x)=3x^4-4x^3+x^2+6x-2
The rational zeros for F(x)=3x^4-4x^3+x^2+6x-2 are x= -1 and x= 1/3 while the linear factors are (x+1) and (3x-1)
How to determine the rational zeros and linear factors?Synthetic division has to do with dividing polynomials.
The process involves:
Step 1: Set up the synthetic division.
Step 2: The leading coefficient should be brought down to the bottom row.
Step 3: Multiply this by the value just written on the bottom row.
Step 4: Then, add the column created in step 3.
This can be illustrated thus:
Given: f(x) = 3x⁴-4x³+x²+6x-2
3x⁴-4x³+x²+6x-2 = 0
We will try x = -1 in f(x). In this case, replace x with -1. This will be:
= 3x⁴-4x³+x²+6x-2 = 0
Since f(-1)= 0 so (x+1) is a factor
Using synthetic division:
-1)....3....-4....1....6....-2
.........3.....-7...8....-2..|..0
Remainder = 0
Quotient = 3x³ -7x² + 8x -2
For 3x³ -7x² + 8x -2, f(1/3) = 0 so (x- 1/3) is a factor
1/3)....3....-7....8....-2
..........3.....-6...6...|..0
Remainder = 0
Quotient = 3x²-6x+6
= 3(x²-2x+2)
Since there are no more rational zeros or linear factors for x²-2x+2. Therefore, the rational zeros are x= -1 and x= 1/3.
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Write an equation of the parabola in vertex form.
Amusement Park Ride
Height (feet)
YA(0, 180)
(1, 164)
160
80
0 2 4
Time (seconds)
Equation:
Equation of parabola in vertex form is :
[tex](x-h)^{2} = 4a(y-k)[/tex]
[tex](x-0)^{2} = 4a(y-180)[/tex]
it passing through (1,164)
∴ [tex](1-0)^2=4a(164-180)[/tex]
[tex]1 = 4a(-16)[/tex]
⇒ [tex]-64a = 1[/tex]
⇒ [tex]a = -\frac{1}{64}[/tex]
∴ [tex](x-0)^2 = 4 \times \frac{1}{-64} (y-180)[/tex]
[tex]x^2 = -\frac{1}{16}(y-180)[/tex]
[tex]-16x^2 = y-180\\y = -16x^2+180\\[/tex]
Here, the equation of parabola in vertex form is:
[tex]y = -16(x^2)+180 ,\ for \ x\geq 0[/tex]
What is Parabola?
A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.
What is cone?
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the Centre of base) called the apex or vertex.
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What happened to the native economies and cultures of Asia, Africa, and the Americas as a result of the Age of
Exploration?
They joined together to resist the attempts of Europeans to change them.
What was the Age of Exploration What major changes did it cause in the world?People have been captivated by global exploration and learning about new locations and civilizations for thousands of years. Traveling by sea was historically one of the most effective methods of globetrotting. Greeks in antiquity to medieval SpanishKings, because it provided the possibility of new business ventures and trade routes, exploration was a top priority for governments. Spanish ships, for instance, could travel to China and return with Chinese spices and silks (which were not accessible in continental Europe) to sell in Spanish marketplaces.In order to avoid deviating from their intended course, early explorers used a navigational system known as "dead reckoning," which involves calculating their position based on previous positions (such as landmasses). However, this technique may not be an exact science. Exploration became increasingly crucial as far as Europe's economic interests were concerned.Innovative tools that made exploration simpler and more accurate were created.Learn more about Age of Exploration refer to :
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2. Draw the image of RST under the dilation with scale factor 5/3 and center of dilation (2, -2) . Label the image R'S'T' .
Answer:
Step-by-step explanation:
A random sample of 10 subjects have weights with a standard deviation of 10.9508 kg What is the variance of their weights? Be sure to include the appropriate units with the result
Based on the information given the variance of their weights is 119.9200 kg².
What is variance?
The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other. This symbol is frequently used to represent variation: σ².
Main body:
n=sample size=10
Standard deviation=10.9508 kg
Using this formula
Variance=(Standard deviation)²
Let plug in the formula
Variance=(10.9508 kg)²
Variance= 119.9200 kg²
Hence the variance of their weights is 119.9200 kg².
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Three of the 30 computers are out of service. What percent of the computers are not working?
The percentage of computers not working is 10%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there are three of the 30 computers are out of service.
The percentage of the computers which are out of service will be calculated as,
P = 3 / 30
P = 0.1
P = 0.1x 100
P = 10%
Therefore, the percentage of computers not working is 10%.
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1) While mining, Peter found a large metal bar that contained 33 grams of gold. Peter also
determined that the bar was 73.33% gold. What was the total weight of the metal bar in
grams? Round your answer to the nearest whole number if necessary.
The total weight of the metal bar is 45.002 grams.
Given:
While mining, Peter found a large metal bar that contained 33 grams of gold.
Peter also determined that the bar was 73.33% gold.
73.33% = 33 grams
divide by 73.33 on both sides
73.33%/73.33 = 33/73.33 grams
1% = 0.45002 grams
Multiply on 100 on both sides
1%*100 = 0.45002*100
100% = 45.002 grams.
Therefore the total weight of the metal bar is 45.002 grams.
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The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay.
Early Pay: Pay $110.00 before Memorial Day; swim any number of days
Deposit Plus: $30.00 deposit plus $6.00 per day
Daily Pay: $9.00 per day
Write an equation for each method of payment. Write your equations in slope-intercept form so that x is the number of days and y is the cost.
a. Early Pay:
b. Deposit Plus:
c. Daily Pay:
the answer must be a y=mx+b equation for a b and c
The equations for early pay, deposit plus and daily pay is y = 110, y = 6x + 30 and y = 9x respectively.
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
Let y represent the total cost for swimming x numbers of days.
Early Pay: Pay $110.00 before Memorial Day; swim any number of days. Hence:
y = 110
Deposit Plus: $30.00 deposit plus $6.00 per day. Hence:
y = 6x + 30
Daily Pay: $9.00 per day. Hence:
y = 9x
The equation for early pay is y = 110
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Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
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Find the scale of a map if 4.2 cm on the map corresponds to an actual distance of 6.3 km.
Answer:
Scale of the map is 1 cm corresponds to an actual distance of 1.5 km
Step-by-step explanation:
According to the question,
4.2 cm on the map corresponds to an actual distance of 6.3 km.
So,
[tex] \rm 1 \: cm \: will \: correspond \\ \rm to \: a \: distance= \dfrac{6.3}{4.2} \: km \\ \rm = 1.5 \: km[/tex]
Scale of the map is represented by 1 cm corresponds to an actual distance of 1.5 km
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
According to the question we are given that 4.2 cm on the map corresponds to an actual distance of 6.3 km.
Similarly on the map, 4.2 cm corresponds to an actual value of 6.2km distance, this means
Thus 6.2km is the same as (6.2×1000)m = 6200m
therefore, the scale of the map is
= 4.2/6200
= 1/1476.2
that is, 1cm : 1476.2 cm
= 1cm: 1.5km
Scale of the map is represented by 1 cm corresponds to an actual distance of 1.5 km
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pls help with this . give only what it ask for the answers.
Answer:
(10, -1)
Step-by-step explanation:
x + 2x = 3x
-y + y = 0
11 + 19 = 30
3x = 30
3/3 x = 30/3
x = 10
10 - y = 11
y = -11 + 10
y = -1
log x + 5 log y -4 log z rewrite as a single logarithm
Solution :
[tex]\qquad \sf \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z) [/tex]
[tex]\qquad \sf \dashrightarrow \: log(x) + \: log(y {}^{5} ) - \: log(z {}^{4} ) [/tex]
( a log(x) = log(x^a) )
[tex]\qquad \sf \dashrightarrow \: log( x {y}^{5} ) - log(z {}^{4} )[/tex]
( log (a) + log (b) = log (ab) )
[tex]\qquad \sf \dashrightarrow \: log( \frac{ x {y}^{5} }{z {}^{4} }) [/tex]
( log (a) - log (b) = log (a/b) )
I need to find the measure
Answer:
x = 147°
Step-by-step explanation:
To find x, we have to find the angle measures in the small triangle.
180 - 61 = 119° (sum of adjacent angles on straight line=180)
The other angle measure in the triangle is 28° because they are vertically opposite angles.
We subtract 119° and 28° to find the angle measure next to x.
180 - 119 - 28 = 33° (sum of angles in a triangle=180)
x = 180 - 33
= 147° (sum of adjacent angles on straight line=180)